Lib folder.
+ *
+ * Here is the list of pre-built libraries :
+ * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit)
+ * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit)
+ * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit)
+ * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on)
+ * - arm_cortexM7l_math.lib (Cortex-M7, Little endian)
+ * - arm_cortexM7b_math.lib (Cortex-M7, Big endian)
+ * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit)
+ * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit)
+ * - arm_cortexM4l_math.lib (Cortex-M4, Little endian)
+ * - arm_cortexM4b_math.lib (Cortex-M4, Big endian)
+ * - arm_cortexM3l_math.lib (Cortex-M3, Little endian)
+ * - arm_cortexM3b_math.lib (Cortex-M3, Big endian)
+ * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian)
+ * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian)
+ * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian)
+ * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian)
+ * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit)
+ * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions)
+ * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit)
+ *
+ * The library functions are declared in the public file arm_math.h which is placed in the Include folder.
+ * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single
+ * public header file arm_math.h for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
+ *
+ *
+ * Examples
+ * --------
+ *
+ * The library ships with a number of examples which demonstrate how to use the library functions.
+ *
+ * Toolchain Support
+ * ------------
+ *
+ * The library is now tested on Fast Models building with cmake.
+ * Core M0, M7, A5 are tested.
+ *
+ *
+ *
+ * Building the Library
+ * ------------
+ *
+ * The library installer contains a project file to rebuild libraries on MDK toolchain in the CMSIS\\DSP\\Projects\\ARM folder.
+ * - arm_cortexM_math.uvprojx
+ *
+ *
+ * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above.
+ *
+ * There is also a work in progress cmake build. The README file is giving more details.
+ *
+ * Preprocessor Macros
+ * ------------
+ *
+ * Each library project have different preprocessor macros.
+ *
+ * - ARM_MATH_BIG_ENDIAN:
+ *
+ * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
+ *
+ * - ARM_MATH_MATRIX_CHECK:
+ *
+ * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
+ *
+ * - ARM_MATH_ROUNDING:
+ *
+ * Define macro ARM_MATH_ROUNDING for rounding on support functions
+ *
+ * - ARM_MATH_LOOPUNROLL:
+ *
+ * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions
+ *
+ * - ARM_MATH_NEON:
+ *
+ * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions.
+ * It is not enabled by default when Neon is available because performances are
+ * dependent on the compiler and target architecture.
+ *
+ * - ARM_MATH_NEON_EXPERIMENTAL:
+ *
+ * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of
+ * of some DSP functions. Experimental Neon versions currently do not have better
+ * performances than the scalar versions.
+ *
+ * - ARM_MATH_HELIUM:
+ *
+ * It implies the flags ARM_MATH_MVEF and ARM_MATH_MVEI and ARM_MATH_FLOAT16.
+ *
+ * - ARM_MATH_MVEF:
+ *
+ * Select Helium versions of the f32 algorithms.
+ * It implies ARM_MATH_FLOAT16 and ARM_MATH_MVEI.
+ *
+ * - ARM_MATH_MVEI:
+ *
+ * Select Helium versions of the int and fixed point algorithms.
+ *
+ * - ARM_MATH_FLOAT16:
+ *
+ * Float16 implementations of some algorithms (Requires MVE extension).
+ *
+ *
+ * typedef struct
+ * {
+ * uint16_t numRows; // number of rows of the matrix.
+ * uint16_t numCols; // number of columns of the matrix.
+ * float32_t *pData; // points to the data of the matrix.
+ * } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types.
+ *
+ * The structure specifies the size of the matrix and then points to
+ * an array of data. The array is of size numRows X numCols
+ * and the values are arranged in row order. That is, the
+ * matrix element (i, j) is stored at:
+ * + * pData[i*numCols + j] + *+ * + * \par Init Functions + * There is an associated initialization function for each type of matrix + * data structure. + * The initialization function sets the values of the internal structure fields. + * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15() + * for floating-point, Q31 and Q15 types, respectively. + * + * \par + * Use of the initialization function is optional. However, if initialization function is used + * then the instance structure cannot be placed into a const data section. + * To place the instance structure in a const data + * section, manually initialize the data structure. For example: + *
+ *+ * wherearm_matrix_instance_f32 S = {nRows, nColumns, pData};+ *arm_matrix_instance_q31 S = {nRows, nColumns, pData};+ *arm_matrix_instance_q15 S = {nRows, nColumns, pData};+ *
nRows specifies the number of rows, nColumns
+ * specifies the number of columns, and pData points to the
+ * data array.
+ *
+ * \par Size Checking
+ * By default all of the matrix functions perform size checking on the input and
+ * output matrices. For example, the matrix addition function verifies that the
+ * two input matrices and the output matrix all have the same number of rows and
+ * columns. If the size check fails the functions return:
+ * + * ARM_MATH_SIZE_MISMATCH + *+ * Otherwise the functions return + *
+ * ARM_MATH_SUCCESS + *+ * There is some overhead associated with this matrix size checking. + * The matrix size checking is enabled via the \#define + *
+ * ARM_MATH_MATRIX_CHECK + *+ * within the library project settings. By default this macro is defined + * and size checking is enabled. By changing the project settings and + * undefining this macro size checking is eliminated and the functions + * run a bit faster. With size checking disabled the functions always + * return
ARM_MATH_SUCCESS.
+ */
+
+/**
+ * @defgroup groupTransforms Transform Functions
+ */
+
+/**
+ * @defgroup groupController Controller Functions
+ */
+
+/**
+ * @defgroup groupStats Statistics Functions
+ */
+
+/**
+ * @defgroup groupSupport Support Functions
+ */
+
+/**
+ * @defgroup groupInterpolation Interpolation Functions
+ * These functions perform 1- and 2-dimensional interpolation of data.
+ * Linear interpolation is used for 1-dimensional data and
+ * bilinear interpolation is used for 2-dimensional data.
+ */
+
+/**
+ * @defgroup groupExamples Examples
+ */
+
+/**
+ * @defgroup groupSVM SVM Functions
+ * This set of functions is implementing SVM classification on 2 classes.
+ * The training must be done from scikit-learn. The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/SVM.py
+ *
+ * If more than 2 classes are needed, the functions in this folder
+ * will have to be used, as building blocks, to do multi-class classification.
+ *
+ * No multi-class classification is provided in this SVM folder.
+ *
+ */
+
+
+/**
+ * @defgroup groupBayes Bayesian estimators
+ *
+ * Implement the naive gaussian Bayes estimator.
+ * The training must be done from scikit-learn.
+ *
+ * The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/Bayes.py
+ */
+
+/**
+ * @defgroup groupDistance Distance functions
+ *
+ * Distance functions for use with clustering algorithms.
+ * There are distance functions for float vectors and boolean vectors.
+ *
+ */
+
+
+#ifndef _ARM_MATH_H
+#define _ARM_MATH_H
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+/* Compiler specific diagnostic adjustment */
+#if defined ( __CC_ARM )
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+
+#elif defined ( __GNUC__ )
+ #pragma GCC diagnostic push
+ #pragma GCC diagnostic ignored "-Wsign-conversion"
+ #pragma GCC diagnostic ignored "-Wconversion"
+ #pragma GCC diagnostic ignored "-Wunused-parameter"
+
+#elif defined ( __ICCARM__ )
+
+#elif defined ( __TI_ARM__ )
+
+#elif defined ( __CSMC__ )
+
+#elif defined ( __TASKING__ )
+
+#elif defined ( _MSC_VER )
+
+#else
+ #error Unknown compiler
+#endif
+
+
+/* Included for instrinsics definitions */
+#if defined (_MSC_VER )
+#include ARM_MATH_SUCCESS if initialization was successful or
+ * ARM_MATH_ARGUMENT_ERROR if numTaps is not a supported value.
+ */
+ arm_status arm_fir_init_q15(
+ arm_fir_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 FIR filter.
+ * @param[in] S points to an instance of the Q31 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the fast Q31 FIR filter (fast version).
+ * @param[in] S points to an instance of the Q31 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_fast_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the Q31 FIR filter.
+ * @param[in,out] S points to an instance of the Q31 FIR structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_q31(
+ arm_fir_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the floating-point FIR filter.
+ * @param[in] S points to an instance of the floating-point FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_f32(
+ const arm_fir_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point FIR filter.
+ * @param[in,out] S points to an instance of the floating-point FIR filter structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_f32(
+ arm_fir_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Instance structure for the Q15 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */
+ } arm_biquad_casd_df1_inst_q15;
+
+ /**
+ * @brief Instance structure for the Q31 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */
+ } arm_biquad_casd_df1_inst_q31;
+
+ /**
+ * @brief Instance structure for the floating-point Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_casd_df1_inst_f32;
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ /**
+ * @brief Instance structure for the modified Biquad coefs required by vectorized code.
+ */
+ typedef struct
+ {
+ float32_t coeffs[8][4]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */
+ } arm_biquad_mod_coef_f32;
+#endif
+
+ /**
+ * @brief Processing function for the Q15 Biquad cascade filter.
+ * @param[in] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the Q15 Biquad cascade filter.
+ * @param[in,out] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cascade_df1_init_q15(
+ arm_biquad_casd_df1_inst_q15 * S,
+ uint8_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int8_t postShift);
+
+ /**
+ * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_fast_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 Biquad cascade filter
+ * @param[in] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_fast_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the Q31 Biquad cascade filter.
+ * @param[in,out] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cascade_df1_init_q31(
+ arm_biquad_casd_df1_inst_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int8_t postShift);
+
+ /**
+ * @brief Processing function for the floating-point Biquad cascade filter.
+ * @param[in] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point Biquad cascade filter.
+ * @param[in,out] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pCoeffsMod points to the modified filter coefficients (only MVE version).
+ * @param[in] pState points to the state buffer.
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ void arm_biquad_cascade_df1_mve_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ arm_biquad_mod_coef_f32 * pCoeffsMod,
+ float32_t * pState);
+#endif
+
+ void arm_biquad_cascade_df1_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Compute the logical bitwise AND of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_and_u16(
+ const uint16_t * pSrcA,
+ const uint16_t * pSrcB,
+ uint16_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise AND of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_and_u32(
+ const uint32_t * pSrcA,
+ const uint32_t * pSrcB,
+ uint32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise AND of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_and_u8(
+ const uint8_t * pSrcA,
+ const uint8_t * pSrcB,
+ uint8_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise OR of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_or_u16(
+ const uint16_t * pSrcA,
+ const uint16_t * pSrcB,
+ uint16_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise OR of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_or_u32(
+ const uint32_t * pSrcA,
+ const uint32_t * pSrcB,
+ uint32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise OR of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_or_u8(
+ const uint8_t * pSrcA,
+ const uint8_t * pSrcB,
+ uint8_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise NOT of a fixed-point vector.
+ * @param[in] pSrc points to input vector
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_not_u16(
+ const uint16_t * pSrc,
+ uint16_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise NOT of a fixed-point vector.
+ * @param[in] pSrc points to input vector
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_not_u32(
+ const uint32_t * pSrc,
+ uint32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise NOT of a fixed-point vector.
+ * @param[in] pSrc points to input vector
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_not_u8(
+ const uint8_t * pSrc,
+ uint8_t * pDst,
+ uint32_t blockSize);
+
+/**
+ * @brief Compute the logical bitwise XOR of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_xor_u16(
+ const uint16_t * pSrcA,
+ const uint16_t * pSrcB,
+ uint16_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise XOR of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_xor_u32(
+ const uint32_t * pSrcA,
+ const uint32_t * pSrcB,
+ uint32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Compute the logical bitwise XOR of two fixed-point vectors.
+ * @param[in] pSrcA points to input vector A
+ * @param[in] pSrcB points to input vector B
+ * @param[out] pDst points to output vector
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_xor_u8(
+ const uint8_t * pSrcA,
+ const uint8_t * pSrcB,
+ uint8_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Struct for specifying sorting algorithm
+ */
+ typedef enum
+ {
+ ARM_SORT_BITONIC = 0,
+ /**< Bitonic sort */
+ ARM_SORT_BUBBLE = 1,
+ /**< Bubble sort */
+ ARM_SORT_HEAP = 2,
+ /**< Heap sort */
+ ARM_SORT_INSERTION = 3,
+ /**< Insertion sort */
+ ARM_SORT_QUICK = 4,
+ /**< Quick sort */
+ ARM_SORT_SELECTION = 5
+ /**< Selection sort */
+ } arm_sort_alg;
+
+ /**
+ * @brief Struct for specifying sorting algorithm
+ */
+ typedef enum
+ {
+ ARM_SORT_DESCENDING = 0,
+ /**< Descending order (9 to 0) */
+ ARM_SORT_ASCENDING = 1
+ /**< Ascending order (0 to 9) */
+ } arm_sort_dir;
+
+ /**
+ * @brief Instance structure for the sorting algorithms.
+ */
+ typedef struct
+ {
+ arm_sort_alg alg; /**< Sorting algorithm selected */
+ arm_sort_dir dir; /**< Sorting order (direction) */
+ } arm_sort_instance_f32;
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in,out] S points to an instance of the sorting structure.
+ * @param[in] alg Selected algorithm.
+ * @param[in] dir Sorting order.
+ */
+ void arm_sort_init_f32(
+ arm_sort_instance_f32 * S,
+ arm_sort_alg alg,
+ arm_sort_dir dir);
+
+ /**
+ * @brief Instance structure for the sorting algorithms.
+ */
+ typedef struct
+ {
+ arm_sort_dir dir; /**< Sorting order (direction) */
+ float32_t * buffer; /**< Working buffer */
+ } arm_merge_sort_instance_f32;
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in,out] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_merge_sort_f32(
+ const arm_merge_sort_instance_f32 * S,
+ float32_t *pSrc,
+ float32_t *pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in,out] S points to an instance of the sorting structure.
+ * @param[in] dir Sorting order.
+ * @param[in] buffer Working buffer.
+ */
+ void arm_merge_sort_init_f32(
+ arm_merge_sort_instance_f32 * S,
+ arm_sort_dir dir,
+ float32_t * buffer);
+
+ /**
+ * @brief Struct for specifying cubic spline type
+ */
+ typedef enum
+ {
+ ARM_SPLINE_NATURAL = 0, /**< Natural spline */
+ ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */
+ } arm_spline_type;
+
+ /**
+ * @brief Instance structure for the floating-point cubic spline interpolation.
+ */
+ typedef struct
+ {
+ arm_spline_type type; /**< Type (boundary conditions) */
+ const float32_t * x; /**< x values */
+ const float32_t * y; /**< y values */
+ uint32_t n_x; /**< Number of known data points */
+ float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */
+ } arm_spline_instance_f32;
+
+ /**
+ * @brief Processing function for the floating-point cubic spline interpolation.
+ * @param[in] S points to an instance of the floating-point spline structure.
+ * @param[in] xq points to the x values ot the interpolated data points.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples of output data.
+ */
+ void arm_spline_f32(
+ arm_spline_instance_f32 * S,
+ const float32_t * xq,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point cubic spline interpolation.
+ * @param[in,out] S points to an instance of the floating-point spline structure.
+ * @param[in] type type of cubic spline interpolation (boundary conditions)
+ * @param[in] x points to the x values of the known data points.
+ * @param[in] y points to the y values of the known data points.
+ * @param[in] n number of known data points.
+ * @param[in] coeffs coefficients array for b, c, and d
+ * @param[in] tempBuffer buffer array for internal computations
+ */
+ void arm_spline_init_f32(
+ arm_spline_instance_f32 * S,
+ arm_spline_type type,
+ const float32_t * x,
+ const float32_t * y,
+ uint32_t n,
+ float32_t * coeffs,
+ float32_t * tempBuffer);
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float32_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float64_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f64;
+
+ /**
+ * @brief Instance structure for the Q15 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q15_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q31_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q31;
+
+ /**
+ * @brief Floating-point matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch);
+
+ /**
+ * @brief Q31, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState);
+
+ /**
+ * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_fast_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState);
+
+ /**
+ * @brief Q31 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_fast_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix scaling.
+ * @param[in] pSrc points to the input matrix
+ * @param[in] scale scale factor
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ float32_t scale,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix scaling.
+ * @param[in] pSrc points to input matrix
+ * @param[in] scaleFract fractional portion of the scale factor
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix scaling.
+ * @param[in] pSrc points to input matrix
+ * @param[in] scaleFract fractional portion of the scale factor
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Q31 matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_q31(
+ arm_matrix_instance_q31 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q31_t * pData);
+
+ /**
+ * @brief Q15 matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_q15(
+ arm_matrix_instance_q15 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q15_t * pData);
+
+ /**
+ * @brief Floating-point matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_f32(
+ arm_matrix_instance_f32 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float32_t * pData);
+
+
+ /**
+ * @brief Instance structure for the Q15 PID Control.
+ */
+ typedef struct
+ {
+ q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */
+#if !defined (ARM_MATH_DSP)
+ q15_t A1;
+ q15_t A2;
+#else
+ q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
+#endif
+ q15_t state[3]; /**< The state array of length 3. */
+ q15_t Kp; /**< The proportional gain. */
+ q15_t Ki; /**< The integral gain. */
+ q15_t Kd; /**< The derivative gain. */
+ } arm_pid_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 PID Control.
+ */
+ typedef struct
+ {
+ q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */
+ q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */
+ q31_t A2; /**< The derived gain, A2 = Kd . */
+ q31_t state[3]; /**< The state array of length 3. */
+ q31_t Kp; /**< The proportional gain. */
+ q31_t Ki; /**< The integral gain. */
+ q31_t Kd; /**< The derivative gain. */
+ } arm_pid_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point PID Control.
+ */
+ typedef struct
+ {
+ float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */
+ float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */
+ float32_t A2; /**< The derived gain, A2 = Kd . */
+ float32_t state[3]; /**< The state array of length 3. */
+ float32_t Kp; /**< The proportional gain. */
+ float32_t Ki; /**< The integral gain. */
+ float32_t Kd; /**< The derivative gain. */
+ } arm_pid_instance_f32;
+
+
+
+ /**
+ * @brief Initialization function for the floating-point PID Control.
+ * @param[in,out] S points to an instance of the PID structure.
+ * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state.
+ */
+ void arm_pid_init_f32(
+ arm_pid_instance_f32 * S,
+ int32_t resetStateFlag);
+
+
+ /**
+ * @brief Reset function for the floating-point PID Control.
+ * @param[in,out] S is an instance of the floating-point PID Control structure
+ */
+ void arm_pid_reset_f32(
+ arm_pid_instance_f32 * S);
+
+
+ /**
+ * @brief Initialization function for the Q31 PID Control.
+ * @param[in,out] S points to an instance of the Q15 PID structure.
+ * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state.
+ */
+ void arm_pid_init_q31(
+ arm_pid_instance_q31 * S,
+ int32_t resetStateFlag);
+
+
+ /**
+ * @brief Reset function for the Q31 PID Control.
+ * @param[in,out] S points to an instance of the Q31 PID Control structure
+ */
+
+ void arm_pid_reset_q31(
+ arm_pid_instance_q31 * S);
+
+
+ /**
+ * @brief Initialization function for the Q15 PID Control.
+ * @param[in,out] S points to an instance of the Q15 PID structure.
+ * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state.
+ */
+ void arm_pid_init_q15(
+ arm_pid_instance_q15 * S,
+ int32_t resetStateFlag);
+
+
+ /**
+ * @brief Reset function for the Q15 PID Control.
+ * @param[in,out] S points to an instance of the q15 PID Control structure
+ */
+ void arm_pid_reset_q15(
+ arm_pid_instance_q15 * S);
+
+
+ /**
+ * @brief Instance structure for the floating-point Linear Interpolate function.
+ */
+ typedef struct
+ {
+ uint32_t nValues; /**< nValues */
+ float32_t x1; /**< x1 */
+ float32_t xSpacing; /**< xSpacing */
+ float32_t *pYData; /**< pointer to the table of Y values */
+ } arm_linear_interp_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ float32_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_f32;
+
+ /**
+ * @brief Instance structure for the Q31 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q31_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q31;
+
+ /**
+ * @brief Instance structure for the Q15 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q15_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q15 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q7_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q7;
+
+
+ /**
+ * @brief Q7 vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_q7(
+ const q7_t * pSrcA,
+ const q7_t * pSrcB,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix2_instance_q15;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_q15(
+ arm_cfft_radix2_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_q15(
+ const arm_cfft_radix2_instance_q15 * S,
+ q15_t * pSrc);
+
+
+ /**
+ * @brief Instance structure for the Q15 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q15_t *pTwiddle; /**< points to the twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix4_instance_q15;
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_q15(
+ arm_cfft_radix4_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_q15(
+ const arm_cfft_radix4_instance_q15 * S,
+ q15_t * pSrc);
+
+ /**
+ * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q31_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix2_instance_q31;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_q31(
+ arm_cfft_radix2_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_q31(
+ const arm_cfft_radix2_instance_q31 * S,
+ q31_t * pSrc);
+
+ /**
+ * @brief Instance structure for the Q31 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q31_t *pTwiddle; /**< points to the twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix4_instance_q31;
+
+/* Deprecated */
+ void arm_cfft_radix4_q31(
+ const arm_cfft_radix4_instance_q31 * S,
+ q31_t * pSrc);
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_q31(
+ arm_cfft_radix4_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float32_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix2_instance_f32;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_f32(
+ arm_cfft_radix2_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_f32(
+ const arm_cfft_radix2_instance_f32 * S,
+ float32_t * pSrc);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float32_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix4_instance_f32;
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_f32(
+ arm_cfft_radix4_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_f32(
+ const arm_cfft_radix4_instance_f32 * S,
+ float32_t * pSrc);
+
+ /**
+ * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const q15_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEI)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const q15_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_q15;
+
+arm_status arm_cfft_init_q15(
+ arm_cfft_instance_q15 * S,
+ uint16_t fftLen);
+
+void arm_cfft_q15(
+ const arm_cfft_instance_q15 * S,
+ q15_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const q31_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEI)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const q31_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_q31;
+
+arm_status arm_cfft_init_q31(
+ arm_cfft_instance_q31 * S,
+ uint16_t fftLen);
+
+void arm_cfft_q31(
+ const arm_cfft_instance_q31 * S,
+ q31_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const float32_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_f32;
+
+
+ arm_status arm_cfft_init_f32(
+ arm_cfft_instance_f32 * S,
+ uint16_t fftLen);
+
+ void arm_cfft_f32(
+ const arm_cfft_instance_f32 * S,
+ float32_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+
+ /**
+ * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const float64_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+ } arm_cfft_instance_f64;
+
+ void arm_cfft_f64(
+ const arm_cfft_instance_f64 * S,
+ float64_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the Q15 RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ const q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ const q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+#if defined(ARM_MATH_MVEI)
+ arm_cfft_instance_q15 cfftInst;
+#else
+ const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+#endif
+ } arm_rfft_instance_q15;
+
+ arm_status arm_rfft_init_q15(
+ arm_rfft_instance_q15 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_q15(
+ const arm_rfft_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst);
+
+ /**
+ * @brief Instance structure for the Q31 RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ const q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ const q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+#if defined(ARM_MATH_MVEI)
+ arm_cfft_instance_q31 cfftInst;
+#else
+ const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+#endif
+ } arm_rfft_instance_q31;
+
+ arm_status arm_rfft_init_q31(
+ arm_rfft_instance_q31 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_q31(
+ const arm_rfft_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst);
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint16_t fftLenBy2; /**< length of the complex FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ const float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ const float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+ arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+ } arm_rfft_instance_f32;
+
+ arm_status arm_rfft_init_f32(
+ arm_rfft_instance_f32 * S,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_f32(
+ const arm_rfft_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst);
+
+ /**
+ * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function.
+ */
+typedef struct
+ {
+ arm_cfft_instance_f64 Sint; /**< Internal CFFT structure. */
+ uint16_t fftLenRFFT; /**< length of the real sequence */
+ const float64_t * pTwiddleRFFT; /**< Twiddle factors real stage */
+ } arm_rfft_fast_instance_f64 ;
+
+arm_status arm_rfft_fast_init_f64 (
+ arm_rfft_fast_instance_f64 * S,
+ uint16_t fftLen);
+
+
+void arm_rfft_fast_f64(
+ arm_rfft_fast_instance_f64 * S,
+ float64_t * p, float64_t * pOut,
+ uint8_t ifftFlag);
+
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+typedef struct
+ {
+ arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */
+ uint16_t fftLenRFFT; /**< length of the real sequence */
+ const float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */
+ } arm_rfft_fast_instance_f32 ;
+
+arm_status arm_rfft_fast_init_f32 (
+ arm_rfft_fast_instance_f32 * S,
+ uint16_t fftLen);
+
+
+ void arm_rfft_fast_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p, float32_t * pOut,
+ uint8_t ifftFlag);
+
+ /**
+ * @brief Instance structure for the floating-point DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ float32_t normalize; /**< normalizing factor. */
+ const float32_t *pTwiddle; /**< points to the twiddle factor table. */
+ const float32_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_f32;
+
+
+ /**
+ * @brief Initialization function for the floating-point DCT4/IDCT4.
+ * @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure.
+ * @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure.
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.
+ */
+ arm_status arm_dct4_init_f32(
+ arm_dct4_instance_f32 * S,
+ arm_rfft_instance_f32 * S_RFFT,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ float32_t normalize);
+
+
+ /**
+ * @brief Processing function for the floating-point DCT4/IDCT4.
+ * @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_f32(
+ const arm_dct4_instance_f32 * S,
+ float32_t * pState,
+ float32_t * pInlineBuffer);
+
+
+ /**
+ * @brief Instance structure for the Q31 DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ q31_t normalize; /**< normalizing factor. */
+ const q31_t *pTwiddle; /**< points to the twiddle factor table. */
+ const q31_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_q31;
+
+
+ /**
+ * @brief Initialization function for the Q31 DCT4/IDCT4.
+ * @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure
+ * @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
+ */
+ arm_status arm_dct4_init_q31(
+ arm_dct4_instance_q31 * S,
+ arm_rfft_instance_q31 * S_RFFT,
+ arm_cfft_radix4_instance_q31 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q31_t normalize);
+
+
+ /**
+ * @brief Processing function for the Q31 DCT4/IDCT4.
+ * @param[in] S points to an instance of the Q31 DCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_q31(
+ const arm_dct4_instance_q31 * S,
+ q31_t * pState,
+ q31_t * pInlineBuffer);
+
+
+ /**
+ * @brief Instance structure for the Q15 DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ q15_t normalize; /**< normalizing factor. */
+ const q15_t *pTwiddle; /**< points to the twiddle factor table. */
+ const q15_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_q15;
+
+
+ /**
+ * @brief Initialization function for the Q15 DCT4/IDCT4.
+ * @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure.
+ * @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure.
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
+ */
+ arm_status arm_dct4_init_q15(
+ arm_dct4_instance_q15 * S,
+ arm_rfft_instance_q15 * S_RFFT,
+ arm_cfft_radix4_instance_q15 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q15_t normalize);
+
+
+ /**
+ * @brief Processing function for the Q15 DCT4/IDCT4.
+ * @param[in] S points to an instance of the Q15 DCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_q15(
+ const arm_dct4_instance_q15 * S,
+ q15_t * pState,
+ q15_t * pInlineBuffer);
+
+
+ /**
+ * @brief Floating-point vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q7 vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_q7(
+ const q7_t * pSrcA,
+ const q7_t * pSrcB,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q7 vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_q7(
+ const q7_t * pSrcA,
+ const q7_t * pSrcB,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a floating-point vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scale scale factor to be applied
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_f32(
+ const float32_t * pSrc,
+ float32_t scale,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a Q7 vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scaleFract fractional portion of the scale value
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_q7(
+ const q7_t * pSrc,
+ q7_t scaleFract,
+ int8_t shift,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a Q15 vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scaleFract fractional portion of the scale value
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_q15(
+ const q15_t * pSrc,
+ q15_t scaleFract,
+ int8_t shift,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a Q31 vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scaleFract fractional portion of the scale value
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_q31(
+ const q31_t * pSrc,
+ q31_t scaleFract,
+ int8_t shift,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q7 vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_q7(
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Dot product of floating-point vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t blockSize,
+ float32_t * result);
+
+
+ /**
+ * @brief Dot product of Q7 vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_q7(
+ const q7_t * pSrcA,
+ const q7_t * pSrcB,
+ uint32_t blockSize,
+ q31_t * result);
+
+
+ /**
+ * @brief Dot product of Q15 vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t blockSize,
+ q63_t * result);
+
+
+ /**
+ * @brief Dot product of Q31 vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t blockSize,
+ q63_t * result);
+
+
+ /**
+ * @brief Shifts the elements of a Q7 vector a specified number of bits.
+ * @param[in] pSrc points to the input vector
+ * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_shift_q7(
+ const q7_t * pSrc,
+ int8_t shiftBits,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Shifts the elements of a Q15 vector a specified number of bits.
+ * @param[in] pSrc points to the input vector
+ * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_shift_q15(
+ const q15_t * pSrc,
+ int8_t shiftBits,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Shifts the elements of a Q31 vector a specified number of bits.
+ * @param[in] pSrc points to the input vector
+ * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_shift_q31(
+ const q31_t * pSrc,
+ int8_t shiftBits,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a floating-point vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_f32(
+ const float32_t * pSrc,
+ float32_t offset,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a Q7 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_q7(
+ const q7_t * pSrc,
+ q7_t offset,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a Q15 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_q15(
+ const q15_t * pSrc,
+ q15_t offset,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a Q31 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_q31(
+ const q31_t * pSrc,
+ q31_t offset,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a floating-point vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a Q7 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_q7(
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a Q15 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a Q31 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a floating-point vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q7 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q7(
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q15 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q31 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a floating-point vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_f32(
+ float32_t value,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q7 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q7(
+ q7_t value,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q15 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q15(
+ q15_t value,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q31 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q31(
+ q31_t value,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Convolution of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ */
+ void arm_conv_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ */
+ void arm_conv_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+/**
+ * @brief Convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ */
+ void arm_conv_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Convolution of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ */
+ void arm_conv_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst);
+
+
+ /**
+ * @brief Partial convolution of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Partial convolution of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q7 sequences
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+/**
+ * @brief Partial convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_q31;
+
+/**
+ @brief Instance structure for floating-point FIR decimator.
+ */
+typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_f32;
+
+
+/**
+ @brief Processing function for floating-point FIR decimator.
+ @param[in] S points to an instance of the floating-point FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ */
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ @brief Initialization function for the floating-point FIR decimator.
+ @param[in,out] S points to an instance of the floating-point FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+ */
+arm_status arm_fir_decimate_init_f32(
+ arm_fir_decimate_instance_f32 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR decimator.
+ * @param[in] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR decimator.
+ * @param[in,out] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_q15(
+ arm_fir_decimate_instance_q15 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR decimator.
+ * @param[in] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_fast_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR decimator.
+ * @param[in,out] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_q31(
+ arm_fir_decimate_instance_q31 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+ } arm_fir_interpolate_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+ } arm_fir_interpolate_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
+ } arm_fir_interpolate_instance_f32;
+
+
+ /**
+ * @brief Processing function for the Q15 FIR interpolator.
+ * @param[in] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR interpolator.
+ * @param[in,out] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_q15(
+ arm_fir_interpolate_instance_q15 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR interpolator.
+ * @param[in] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR interpolator.
+ * @param[in,out] S points to an instance of the Q31 FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_q31(
+ arm_fir_interpolate_instance_q31 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR interpolator.
+ * @param[in] S points to an instance of the floating-point FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point FIR interpolator.
+ * @param[in,out] S points to an instance of the floating-point FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_f32(
+ arm_fir_interpolate_instance_f32 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the high precision Q31 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ const q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */
+ } arm_biquad_cas_df1_32x64_ins_q31;
+
+
+ /**
+ * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cas_df1_32x64_init_q31(
+ arm_biquad_cas_df1_32x64_ins_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q63_t * pState,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_stereo_df2T_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ const float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f64;
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_stereo_df2T_f32(
+ const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f64(
+ const arm_biquad_cascade_df2T_instance_f64 * S,
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+#if defined(ARM_MATH_NEON)
+void arm_biquad_cascade_df2T_compute_coefs_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ float32_t * pCoeffs);
+#endif
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_stereo_df2T_init_f32(
+ arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f64(
+ arm_biquad_cascade_df2T_instance_f64 * S,
+ uint8_t numStages,
+ const float64_t * pCoeffs,
+ float64_t * pState);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_f32;
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR lattice filter.
+ * @param[in] S points to an instance of the Q15 FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_q15(
+ arm_fir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR lattice filter.
+ * @param[in] S points to an instance of the Q15 FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_q15(
+ const arm_fir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR lattice filter.
+ * @param[in] S points to an instance of the Q31 FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_q31(
+ arm_fir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR lattice filter.
+ * @param[in] S points to an instance of the Q31 FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_q31(
+ const arm_fir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the floating-point FIR lattice filter.
+ * @param[in] S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_f32(
+ arm_fir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR lattice filter.
+ * @param[in] S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_f32(
+ const arm_fir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_f32;
+
+
+ /**
+ * @brief Processing function for the floating-point IIR lattice filter.
+ * @param[in] S points to an instance of the floating-point IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_f32(
+ const arm_iir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point IIR lattice filter.
+ * @param[in] S points to an instance of the floating-point IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_init_f32(
+ arm_iir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ float32_t * pkCoeffs,
+ float32_t * pvCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 IIR lattice filter.
+ * @param[in] S points to an instance of the Q31 IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_q31(
+ const arm_iir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 IIR lattice filter.
+ * @param[in] S points to an instance of the Q31 IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to the state buffer. The array is of length numStages+blockSize.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_init_q31(
+ arm_iir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ q31_t * pkCoeffs,
+ q31_t * pvCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 IIR lattice filter.
+ * @param[in] S points to an instance of the Q15 IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_q15(
+ const arm_iir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the Q15 IIR lattice filter.
+ * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to state buffer. The array is of length numStages+blockSize.
+ * @param[in] blockSize number of samples to process per call.
+ */
+ void arm_iir_lattice_init_q15(
+ arm_iir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ q15_t * pkCoeffs,
+ q15_t * pvCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the floating-point LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ float32_t mu; /**< step size that controls filter coefficient updates. */
+ } arm_lms_instance_f32;
+
+
+ /**
+ * @brief Processing function for floating-point LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for floating-point LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to the coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_init_f32(
+ arm_lms_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q15_t mu; /**< step size that controls filter coefficient updates. */
+ uint32_t postShift; /**< bit shift applied to coefficients. */
+ } arm_lms_instance_q15;
+
+
+ /**
+ * @brief Initialization function for the Q15 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to the coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_init_q15(
+ arm_lms_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint32_t postShift);
+
+
+ /**
+ * @brief Processing function for Q15 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_q15(
+ const arm_lms_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q31 LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q31_t mu; /**< step size that controls filter coefficient updates. */
+ uint32_t postShift; /**< bit shift applied to coefficients. */
+ } arm_lms_instance_q31;
+
+
+ /**
+ * @brief Processing function for Q31 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_q31(
+ const arm_lms_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q31 LMS filter.
+ * @param[in] S points to an instance of the Q31 LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_init_q31(
+ arm_lms_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint32_t postShift);
+
+
+ /**
+ * @brief Instance structure for the floating-point normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ float32_t mu; /**< step size that control filter coefficient updates. */
+ float32_t energy; /**< saves previous frame energy. */
+ float32_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_f32;
+
+
+ /**
+ * @brief Processing function for floating-point normalized LMS filter.
+ * @param[in] S points to an instance of the floating-point normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for floating-point normalized LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_init_f32(
+ arm_lms_norm_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q31 normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q31_t mu; /**< step size that controls filter coefficient updates. */
+ uint8_t postShift; /**< bit shift applied to coefficients. */
+ const q31_t *recipTable; /**< points to the reciprocal initial value table. */
+ q31_t energy; /**< saves previous frame energy. */
+ q31_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_q31;
+
+
+ /**
+ * @brief Processing function for Q31 normalized LMS filter.
+ * @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_q31(
+ arm_lms_norm_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q31 normalized LMS filter.
+ * @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_norm_init_q31(
+ arm_lms_norm_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Instance structure for the Q15 normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< Number of coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q15_t mu; /**< step size that controls filter coefficient updates. */
+ uint8_t postShift; /**< bit shift applied to coefficients. */
+ const q15_t *recipTable; /**< Points to the reciprocal initial value table. */
+ q15_t energy; /**< saves previous frame energy. */
+ q15_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_q15;
+
+
+ /**
+ * @brief Processing function for Q15 normalized LMS filter.
+ * @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_q15(
+ arm_lms_norm_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q15 normalized LMS filter.
+ * @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_norm_init_q15(
+ arm_lms_norm_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Correlation of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+*/
+void arm_correlate_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch);
+
+
+/**
+ @brief Correlation of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+ */
+void arm_correlate_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence.
+ @param[in] srcALen length of the first input sequence.
+ @param[in] pSrcB points to the second input sequence.
+ @param[in] srcBLen length of the second input sequence.
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ */
+void arm_correlate_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch);
+
+
+ /**
+ * @brief Correlation of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+/**
+ @brief Correlation of Q31 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+void arm_correlate_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ */
+ void arm_correlate_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Correlation of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst);
+
+
+ /**
+ * @brief Instance structure for the floating-point sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_f32;
+
+ /**
+ * @brief Instance structure for the Q31 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q31;
+
+ /**
+ * @brief Instance structure for the Q15 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q7 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q7;
+
+
+ /**
+ * @brief Processing function for the floating-point sparse FIR filter.
+ * @param[in] S points to an instance of the floating-point sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_f32(
+ arm_fir_sparse_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ float32_t * pScratchIn,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point sparse FIR filter.
+ * @param[in,out] S points to an instance of the floating-point sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_f32(
+ arm_fir_sparse_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 sparse FIR filter.
+ * @param[in] S points to an instance of the Q31 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q31(
+ arm_fir_sparse_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ q31_t * pScratchIn,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q31 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q31(
+ arm_fir_sparse_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 sparse FIR filter.
+ * @param[in] S points to an instance of the Q15 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] pScratchOut points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q15(
+ arm_fir_sparse_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ q15_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q15 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q15(
+ arm_fir_sparse_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q7 sparse FIR filter.
+ * @param[in] S points to an instance of the Q7 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] pScratchOut points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q7(
+ arm_fir_sparse_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ q7_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q7 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q7 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q7(
+ arm_fir_sparse_instance_q7 * S,
+ uint16_t numTaps,
+ const q7_t * pCoeffs,
+ q7_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point sin_cos function.
+ * @param[in] theta input value in degrees
+ * @param[out] pSinVal points to the processed sine output.
+ * @param[out] pCosVal points to the processed cos output.
+ */
+ void arm_sin_cos_f32(
+ float32_t theta,
+ float32_t * pSinVal,
+ float32_t * pCosVal);
+
+
+ /**
+ * @brief Q31 sin_cos function.
+ * @param[in] theta scaled input value in degrees
+ * @param[out] pSinVal points to the processed sine output.
+ * @param[out] pCosVal points to the processed cosine output.
+ */
+ void arm_sin_cos_q31(
+ q31_t theta,
+ q31_t * pSinVal,
+ q31_t * pCosVal);
+
+
+ /**
+ * @brief Floating-point complex conjugate.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+ /**
+ * @brief Q31 complex conjugate.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex conjugate.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Floating-point complex magnitude squared
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex magnitude squared
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex magnitude squared
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup PID PID Motor Control
+ *
+ * A Proportional Integral Derivative (PID) controller is a generic feedback control
+ * loop mechanism widely used in industrial control systems.
+ * A PID controller is the most commonly used type of feedback controller.
+ *
+ * This set of functions implements (PID) controllers
+ * for Q15, Q31, and floating-point data types. The functions operate on a single sample
+ * of data and each call to the function returns a single processed value.
+ * S points to an instance of the PID control data structure. in
+ * is the input sample value. The functions return the output value.
+ *
+ * \par Algorithm:
+ * + * y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] + * A0 = Kp + Ki + Kd + * A1 = (-Kp ) - (2 * Kd ) + * A2 = Kd + *+ * + * \par + * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant + * + * \par + * \image html PID.gif "Proportional Integral Derivative Controller" + * + * \par + * The PID controller calculates an "error" value as the difference between + * the measured output and the reference input. + * The controller attempts to minimize the error by adjusting the process control inputs. + * The proportional value determines the reaction to the current error, + * the integral value determines the reaction based on the sum of recent errors, + * and the derivative value determines the reaction based on the rate at which the error has been changing. + * + * \par Instance Structure + * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. + * A separate instance structure must be defined for each PID Controller. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Reset Functions + * There is also an associated reset function for each data type which clears the state array. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. + * - Zeros out the values in the state buffer. + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the PID Controller functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup PID + * @{ + */ + + /** + * @brief Process function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + * @param[in] in input sample to process + * @return processed output sample. + */ + __STATIC_FORCEINLINE float32_t arm_pid_f32( + arm_pid_instance_f32 * S, + float32_t in) + { + float32_t out; + + /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ + out = (S->A0 * in) + + (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + +/** + @brief Process function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ +__STATIC_FORCEINLINE q31_t arm_pid_q31( + arm_pid_instance_q31 * S, + q31_t in) + { + q63_t acc; + q31_t out; + + /* acc = A0 * x[n] */ + acc = (q63_t) S->A0 * in; + + /* acc += A1 * x[n-1] */ + acc += (q63_t) S->A1 * S->state[0]; + + /* acc += A2 * x[n-2] */ + acc += (q63_t) S->A2 * S->state[1]; + + /* convert output to 1.31 format to add y[n-1] */ + out = (q31_t) (acc >> 31U); + + /* out += y[n-1] */ + out += S->state[2]; + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + +/** + @brief Process function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ +__STATIC_FORCEINLINE q15_t arm_pid_q15( + arm_pid_instance_q15 * S, + q15_t in) + { + q63_t acc; + q15_t out; + +#if defined (ARM_MATH_DSP) + /* Implementation of PID controller */ + + /* acc = A0 * x[n] */ + acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in); + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc); +#else + /* acc = A0 * x[n] */ + acc = ((q31_t) S->A0) * in; + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc += (q31_t) S->A1 * S->state[0]; + acc += (q31_t) S->A2 * S->state[1]; +#endif + + /* acc += y[n-1] */ + acc += (q31_t) S->state[2] << 15; + + /* saturate the output */ + out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16)); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + /** + * @} end of PID group + */ + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * src, + arm_matrix_instance_f32 * dst); + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * src, + arm_matrix_instance_f64 * dst); + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup clarke Vector Clarke Transform + * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. + * Generally the Clarke transform uses three-phase currents
Ia, Ib and Ic to calculate currents
+ * in the two-phase orthogonal stator axis Ialpha and Ibeta.
+ * When Ialpha is superposed with Ia as shown in the figure below
+ * \image html clarke.gif Stator current space vector and its components in (a,b).
+ * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta
+ * can be calculated using only Ia and Ib.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html clarkeFormula.gif
+ * where Ia and Ib are the instantaneous stator phases and
+ * pIalpha and pIbeta are the two coordinates of time invariant vector.
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Clarke transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup clarke
+ * @{
+ */
+
+ /**
+ *
+ * @brief Floating-point Clarke transform
+ * @param[in] Ia input three-phase coordinate a
+ * @param[in] Ib input three-phase coordinate b
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ * @return none
+ */
+ __STATIC_FORCEINLINE void arm_clarke_f32(
+ float32_t Ia,
+ float32_t Ib,
+ float32_t * pIalpha,
+ float32_t * pIbeta)
+ {
+ /* Calculate pIalpha using the equation, pIalpha = Ia */
+ *pIalpha = Ia;
+
+ /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
+ *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
+ }
+
+
+/**
+ @brief Clarke transform for Q31 version
+ @param[in] Ia input three-phase coordinate a
+ @param[in] Ib input three-phase coordinate b
+ @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ @return none
+
+ \par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_clarke_q31(
+ q31_t Ia,
+ q31_t Ib,
+ q31_t * pIalpha,
+ q31_t * pIbeta)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+
+ /* Calculating pIalpha from Ia by equation pIalpha = Ia */
+ *pIalpha = Ia;
+
+ /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
+ product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
+
+ /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
+ product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
+
+ /* pIbeta is calculated by adding the intermediate products */
+ *pIbeta = __QADD(product1, product2);
+ }
+
+ /**
+ * @} end of clarke group
+ */
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup inv_clarke Vector Inverse Clarke Transform
+ * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html clarkeInvFormula.gif
+ * where pIa and pIb are the instantaneous stator phases and
+ * Ialpha and Ibeta are the two coordinates of time invariant vector.
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Clarke transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup inv_clarke
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Inverse Clarke transform
+ * @param[in] Ialpha input two-phase orthogonal vector axis alpha
+ * @param[in] Ibeta input two-phase orthogonal vector axis beta
+ * @param[out] pIa points to output three-phase coordinate a
+ * @param[out] pIb points to output three-phase coordinate b
+ * @return none
+ */
+ __STATIC_FORCEINLINE void arm_inv_clarke_f32(
+ float32_t Ialpha,
+ float32_t Ibeta,
+ float32_t * pIa,
+ float32_t * pIb)
+ {
+ /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+ *pIa = Ialpha;
+
+ /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
+ *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
+ }
+
+
+/**
+ @brief Inverse Clarke transform for Q31 version
+ @param[in] Ialpha input two-phase orthogonal vector axis alpha
+ @param[in] Ibeta input two-phase orthogonal vector axis beta
+ @param[out] pIa points to output three-phase coordinate a
+ @param[out] pIb points to output three-phase coordinate b
+ @return none
+
+ \par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_clarke_q31(
+ q31_t Ialpha,
+ q31_t Ibeta,
+ q31_t * pIa,
+ q31_t * pIb)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+
+ /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+ *pIa = Ialpha;
+
+ /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
+ product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
+
+ /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
+ product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
+
+ /* pIb is calculated by subtracting the products */
+ *pIb = __QSUB(product2, product1);
+ }
+
+ /**
+ * @} end of inv_clarke group
+ */
+
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup park Vector Park Transform
+ *
+ * Forward Park transform converts the input two-coordinate vector to flux and torque components.
+ * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents
+ * from the stationary to the moving reference frame and control the spatial relationship between
+ * the stator vector current and rotor flux vector.
+ * If we consider the d axis aligned with the rotor flux, the diagram below shows the
+ * current vector and the relationship from the two reference frames:
+ * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html parkFormula.gif
+ * where Ialpha and Ibeta are the stator vector components,
+ * pId and pIq are rotor vector components and cosVal and sinVal are the
+ * cosine and sine values of theta (rotor flux position).
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Park transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup park
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Park transform
+ * @param[in] Ialpha input two-phase vector coordinate alpha
+ * @param[in] Ibeta input two-phase vector coordinate beta
+ * @param[out] pId points to output rotor reference frame d
+ * @param[out] pIq points to output rotor reference frame q
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ * @return none
+ *
+ * The function implements the forward Park transform.
+ *
+ */
+ __STATIC_FORCEINLINE void arm_park_f32(
+ float32_t Ialpha,
+ float32_t Ibeta,
+ float32_t * pId,
+ float32_t * pIq,
+ float32_t sinVal,
+ float32_t cosVal)
+ {
+ /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
+ *pId = Ialpha * cosVal + Ibeta * sinVal;
+
+ /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
+ *pIq = -Ialpha * sinVal + Ibeta * cosVal;
+ }
+
+
+/**
+ @brief Park transform for Q31 version
+ @param[in] Ialpha input two-phase vector coordinate alpha
+ @param[in] Ibeta input two-phase vector coordinate beta
+ @param[out] pId points to output rotor reference frame d
+ @param[out] pIq points to output rotor reference frame q
+ @param[in] sinVal sine value of rotation angle theta
+ @param[in] cosVal cosine value of rotation angle theta
+ @return none
+
+ \par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the addition and subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_park_q31(
+ q31_t Ialpha,
+ q31_t Ibeta,
+ q31_t * pId,
+ q31_t * pIq,
+ q31_t sinVal,
+ q31_t cosVal)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+ q31_t product3, product4; /* Temporary variables used to store intermediate results */
+
+ /* Intermediate product is calculated by (Ialpha * cosVal) */
+ product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
+
+ /* Intermediate product is calculated by (Ibeta * sinVal) */
+ product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
+
+
+ /* Intermediate product is calculated by (Ialpha * sinVal) */
+ product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
+
+ /* Intermediate product is calculated by (Ibeta * cosVal) */
+ product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
+
+ /* Calculate pId by adding the two intermediate products 1 and 2 */
+ *pId = __QADD(product1, product2);
+
+ /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
+ *pIq = __QSUB(product4, product3);
+ }
+
+ /**
+ * @} end of park group
+ */
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup inv_park Vector Inverse Park transform
+ * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html parkInvFormula.gif
+ * where pIalpha and pIbeta are the stator vector components,
+ * Id and Iq are rotor vector components and cosVal and sinVal are the
+ * cosine and sine values of theta (rotor flux position).
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Park transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup inv_park
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Inverse Park transform
+ * @param[in] Id input coordinate of rotor reference frame d
+ * @param[in] Iq input coordinate of rotor reference frame q
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ * @return none
+ */
+ __STATIC_FORCEINLINE void arm_inv_park_f32(
+ float32_t Id,
+ float32_t Iq,
+ float32_t * pIalpha,
+ float32_t * pIbeta,
+ float32_t sinVal,
+ float32_t cosVal)
+ {
+ /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
+ *pIalpha = Id * cosVal - Iq * sinVal;
+
+ /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
+ *pIbeta = Id * sinVal + Iq * cosVal;
+ }
+
+
+/**
+ @brief Inverse Park transform for Q31 version
+ @param[in] Id input coordinate of rotor reference frame d
+ @param[in] Iq input coordinate of rotor reference frame q
+ @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ @param[in] sinVal sine value of rotation angle theta
+ @param[in] cosVal cosine value of rotation angle theta
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_park_q31(
+ q31_t Id,
+ q31_t Iq,
+ q31_t * pIalpha,
+ q31_t * pIbeta,
+ q31_t sinVal,
+ q31_t cosVal)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+ q31_t product3, product4; /* Temporary variables used to store intermediate results */
+
+ /* Intermediate product is calculated by (Id * cosVal) */
+ product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
+
+ /* Intermediate product is calculated by (Iq * sinVal) */
+ product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
+
+
+ /* Intermediate product is calculated by (Id * sinVal) */
+ product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
+
+ /* Intermediate product is calculated by (Iq * cosVal) */
+ product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
+
+ /* Calculate pIalpha by using the two intermediate products 1 and 2 */
+ *pIalpha = __QSUB(product1, product2);
+
+ /* Calculate pIbeta by using the two intermediate products 3 and 4 */
+ *pIbeta = __QADD(product4, product3);
+ }
+
+ /**
+ * @} end of Inverse park group
+ */
+
+
+ /**
+ * @ingroup groupInterpolation
+ */
+
+ /**
+ * @defgroup LinearInterpolate Linear Interpolation
+ *
+ * Linear interpolation is a method of curve fitting using linear polynomials.
+ * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
+ *
+ * \par
+ * \image html LinearInterp.gif "Linear interpolation"
+ *
+ * \par
+ * A Linear Interpolate function calculates an output value(y), for the input(x)
+ * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
+ *
+ * \par Algorithm:
+ * + * y = y0 + (x - x0) * ((y1 - y0)/(x1-x0)) + * where x0, x1 are nearest values of input x + * y0, y1 are nearest values to output y + *+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + *
S points to an instance of the Linear Interpolate function data structure.
+ * x is the input sample value. The functions returns the output value.
+ *
+ * \par
+ * if x is outside of the table boundary, Linear interpolation returns first value of the table
+ * if x is below input range and returns last value of table if x is above range.
+ */
+
+ /**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point Linear Interpolation Function.
+ * @param[in,out] S is an instance of the floating-point Linear Interpolation structure
+ * @param[in] x input sample to process
+ * @return y processed output sample.
+ *
+ */
+ __STATIC_FORCEINLINE float32_t arm_linear_interp_f32(
+ arm_linear_interp_instance_f32 * S,
+ float32_t x)
+ {
+ float32_t y;
+ float32_t x0, x1; /* Nearest input values */
+ float32_t y0, y1; /* Nearest output values */
+ float32_t xSpacing = S->xSpacing; /* spacing between input values */
+ int32_t i; /* Index variable */
+ float32_t *pYData = S->pYData; /* pointer to output table */
+
+ /* Calculation of index */
+ i = (int32_t) ((x - S->x1) / xSpacing);
+
+ if (i < 0)
+ {
+ /* Iniatilize output for below specified range as least output value of table */
+ y = pYData[0];
+ }
+ else if ((uint32_t)i >= (S->nValues - 1))
+ {
+ /* Iniatilize output for above specified range as last output value of table */
+ y = pYData[S->nValues - 1];
+ }
+ else
+ {
+ /* Calculation of nearest input values */
+ x0 = S->x1 + i * xSpacing;
+ x1 = S->x1 + (i + 1) * xSpacing;
+
+ /* Read of nearest output values */
+ y0 = pYData[i];
+ y1 = pYData[i + 1];
+
+ /* Calculation of output */
+ y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
+
+ }
+
+ /* returns output value */
+ return (y);
+ }
+
+
+ /**
+ *
+ * @brief Process function for the Q31 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q31 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ __STATIC_FORCEINLINE q31_t arm_linear_interp_q31(
+ q31_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q31_t y; /* output */
+ q31_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ int32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ index = ((x & (q31_t)0xFFF00000) >> 20);
+
+ if (index >= (int32_t)(nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else if (index < 0)
+ {
+ return (pYData[0]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* shift left by 11 to keep fract in 1.31 format */
+ fract = (x & 0x000FFFFF) << 11;
+
+ /* Read two nearest output values from the index in 1.31(q31) format */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract) and y is in 2.30 format */
+ y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
+
+ /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
+ y += ((q31_t) (((q63_t) y1 * fract) >> 32));
+
+ /* Convert y to 1.31 format */
+ return (y << 1U);
+ }
+ }
+
+
+ /**
+ *
+ * @brief Process function for the Q15 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q15 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ __STATIC_FORCEINLINE q15_t arm_linear_interp_q15(
+ q15_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q63_t y; /* output */
+ q15_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ int32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ index = ((x & (int32_t)0xFFF00000) >> 20);
+
+ if (index >= (int32_t)(nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else if (index < 0)
+ {
+ return (pYData[0]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* fract is in 12.20 format */
+ fract = (x & 0x000FFFFF);
+
+ /* Read two nearest output values from the index */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract) and y is in 13.35 format */
+ y = ((q63_t) y0 * (0xFFFFF - fract));
+
+ /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
+ y += ((q63_t) y1 * (fract));
+
+ /* convert y to 1.15 format */
+ return (q15_t) (y >> 20);
+ }
+ }
+
+
+ /**
+ *
+ * @brief Process function for the Q7 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q7 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ */
+ __STATIC_FORCEINLINE q7_t arm_linear_interp_q7(
+ q7_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q31_t y; /* output */
+ q7_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ uint32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ if (x < 0)
+ {
+ return (pYData[0]);
+ }
+ index = (x >> 20) & 0xfff;
+
+ if (index >= (nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* fract is in 12.20 format */
+ fract = (x & 0x000FFFFF);
+
+ /* Read two nearest output values from the index and are in 1.7(q7) format */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
+ y = ((y0 * (0xFFFFF - fract)));
+
+ /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
+ y += (y1 * fract);
+
+ /* convert y to 1.7(q7) format */
+ return (q7_t) (y >> 20);
+ }
+ }
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return sin(x).
+ */
+ float32_t arm_sin_f32(
+ float32_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ */
+ q31_t arm_sin_q31(
+ q31_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ */
+ q15_t arm_sin_q15(
+ q15_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return cos(x).
+ */
+ float32_t arm_cos_f32(
+ float32_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return cos(x).
+ */
+ q31_t arm_cos_q31(
+ q31_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return cos(x).
+ */
+ q15_t arm_cos_q15(
+ q15_t x);
+
+
+/**
+ @brief Floating-point vector of log values.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+ */
+ void arm_vlog_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+/**
+ @brief Floating-point vector of exp values.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+ */
+ void arm_vexp_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @ingroup groupFastMath
+ */
+
+
+ /**
+ * @defgroup SQRT Square Root
+ *
+ * Computes the square root of a number.
+ * There are separate functions for Q15, Q31, and floating-point data types.
+ * The square root function is computed using the Newton-Raphson algorithm.
+ * This is an iterative algorithm of the form:
+ * + * x1 = x0 - f(x0)/f'(x0) + *+ * where
x1 is the current estimate,
+ * x0 is the previous estimate, and
+ * f'(x0) is the derivative of f() evaluated at x0.
+ * For the square root function, the algorithm reduces to:
+ * + * x0 = in/2 [initial guess] + * x1 = 1/2 * ( x0 + in / x0) [each iteration] + *+ */ + + + /** + * @addtogroup SQRT + * @{ + */ + +/** + @brief Floating-point square root function. + @param[in] in input value + @param[out] pOut square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +__STATIC_FORCEINLINE arm_status arm_sqrt_f32( + float32_t in, + float32_t * pOut) + { + if (in >= 0.0f) + { +#if defined ( __CC_ARM ) + #if defined __TARGET_FPU_VFP + *pOut = __sqrtf(in); + #else + *pOut = sqrtf(in); + #endif + +#elif defined ( __ICCARM__ ) + #if defined __ARMVFP__ + __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); + #else + *pOut = sqrtf(in); + #endif + +#else + *pOut = sqrtf(in); +#endif + + return (ARM_MATH_SUCCESS); + } + else + { + *pOut = 0.0f; + return (ARM_MATH_ARGUMENT_ERROR); + } + } + + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut); + + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut); + + /** + * @brief Vector Floating-point square root function. + * @param[in] pIn input vector. + * @param[out] pOut vector of square roots of input elements. + * @param[in] len length of input vector. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + *
in is negative value and returns zero output for negative values.
+ */
+ void arm_vsqrt_f32(
+ float32_t * pIn,
+ float32_t * pOut,
+ uint16_t len);
+
+ void arm_vsqrt_q31(
+ q31_t * pIn,
+ q31_t * pOut,
+ uint16_t len);
+
+ void arm_vsqrt_q15(
+ q15_t * pIn,
+ q15_t * pOut,
+ uint16_t len);
+
+ /**
+ * @} end of SQRT group
+ */
+
+
+ /**
+ * @brief floating-point Circular write function.
+ */
+ __STATIC_FORCEINLINE void arm_circularWrite_f32(
+ int32_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const int32_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+
+ /**
+ * @brief floating-point Circular Read function.
+ */
+ __STATIC_FORCEINLINE void arm_circularRead_f32(
+ int32_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ int32_t * dst,
+ int32_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t rOffset;
+ int32_t* dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+ dst_end = dst_base + dst_length;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update rOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Q15 Circular write function.
+ */
+ __STATIC_FORCEINLINE void arm_circularWrite_q15(
+ q15_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const q15_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+ /**
+ * @brief Q15 Circular Read function.
+ */
+ __STATIC_FORCEINLINE void arm_circularRead_q15(
+ q15_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ q15_t * dst,
+ q15_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0;
+ int32_t rOffset;
+ q15_t* dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+
+ dst_end = dst_base + dst_length;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Q7 Circular write function.
+ */
+ __STATIC_FORCEINLINE void arm_circularWrite_q7(
+ q7_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const q7_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+ /**
+ * @brief Q7 Circular Read function.
+ */
+ __STATIC_FORCEINLINE void arm_circularRead_q7(
+ q7_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ q7_t * dst,
+ q7_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0;
+ int32_t rOffset;
+ q7_t* dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+
+ dst_end = dst_base + dst_length;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update rOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q63_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q63_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Mean value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Floating-point complex magnitude
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex magnitude
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex magnitude
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex dot product
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @param[out] realResult real part of the result returned here
+ * @param[out] imagResult imaginary part of the result returned here
+ */
+ void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult);
+
+
+ /**
+ * @brief Q31 complex dot product
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @param[out] realResult real part of the result returned here
+ * @param[out] imagResult imaginary part of the result returned here
+ */
+ void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult);
+
+
+ /**
+ * @brief Floating-point complex dot product
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @param[out] realResult real part of the result returned here
+ * @param[out] imagResult imaginary part of the result returned here
+ */
+ void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult);
+
+
+ /**
+ * @brief Q15 complex-by-real multiplication
+ * @param[in] pSrcCmplx points to the complex input vector
+ * @param[in] pSrcReal points to the real input vector
+ * @param[out] pCmplxDst points to the complex output vector
+ * @param[in] numSamples number of samples in each vector
+ */
+ void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex-by-real multiplication
+ * @param[in] pSrcCmplx points to the complex input vector
+ * @param[in] pSrcReal points to the real input vector
+ * @param[out] pCmplxDst points to the complex output vector
+ * @param[in] numSamples number of samples in each vector
+ */
+ void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Floating-point complex-by-real multiplication
+ * @param[in] pSrcCmplx points to the complex input vector
+ * @param[in] pSrcReal points to the real input vector
+ * @param[out] pCmplxDst points to the complex output vector
+ * @param[in] numSamples number of samples in each vector
+ */
+ void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Minimum value of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] result is output pointer
+ * @param[in] index is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * result,
+ uint32_t * index);
+
+
+ /**
+ * @brief Minimum value of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[in] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+
+ /**
+ * @brief Minimum value of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+
+ /**
+ * @brief Minimum value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q7 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q15 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q31 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ @brief Maximum value of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_f32(
+ const float32_t *pSrc,
+ uint32_t blockSize,
+ float32_t *pResult);
+
+ /**
+ * @brief Q15 complex-by-complex multiplication
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex-by-complex multiplication
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Floating-point complex-by-complex multiplication
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q31 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q31(
+ const float32_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q15 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q15 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q15(
+ const float32_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q7 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q7 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q7(
+ const float32_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_float(
+ const q31_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_q15(
+ const q31_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_q7(
+ const q31_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_float(
+ const q15_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_q31(
+ const q15_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_q7(
+ const q15_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q7 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q7_to_float(
+ const q7_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q7 vector to Q31 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_q7_to_q31(
+ const q7_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q7 vector to Q15 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_q7_to_q15(
+ const q7_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+/**
+ * @brief Struct for specifying SVM Kernel
+ */
+typedef enum
+{
+ ARM_ML_KERNEL_LINEAR = 0,
+ /**< Linear kernel */
+ ARM_ML_KERNEL_POLYNOMIAL = 1,
+ /**< Polynomial kernel */
+ ARM_ML_KERNEL_RBF = 2,
+ /**< Radial Basis Function kernel */
+ ARM_ML_KERNEL_SIGMOID = 3
+ /**< Sigmoid kernel */
+} arm_ml_kernel_type;
+
+
+/**
+ * @brief Instance structure for linear SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+} arm_svm_linear_instance_f32;
+
+
+/**
+ * @brief Instance structure for polynomial SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ int32_t degree; /**< Polynomial degree */
+ float32_t coef0; /**< Polynomial constant */
+ float32_t gamma; /**< Gamma factor */
+} arm_svm_polynomial_instance_f32;
+
+/**
+ * @brief Instance structure for rbf SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ float32_t gamma; /**< Gamma factor */
+} arm_svm_rbf_instance_f32;
+
+/**
+ * @brief Instance structure for sigmoid SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ float32_t coef0; /**< Independant constant */
+ float32_t gamma; /**< Gamma factor */
+} arm_svm_sigmoid_instance_f32;
+
+/**
+ * @brief SVM linear instance init function
+ * @param[in] S Parameters for SVM functions
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @return none.
+ *
+ */
+
+
+void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes);
+
+/**
+ * @brief SVM linear prediction
+ * @param[in] S Pointer to an instance of the linear SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+
+void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+
+/**
+ * @brief SVM polynomial instance init function
+ * @param[in] S points to an instance of the polynomial SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] degree Polynomial degree
+ * @param[in] coef0 coeff0 (scikit-learn terminology)
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+
+void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes,
+ int32_t degree,
+ float32_t coef0,
+ float32_t gamma
+ );
+
+/**
+ * @brief SVM polynomial prediction
+ * @param[in] S Pointer to an instance of the polynomial SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+
+/**
+ * @brief SVM radial basis function instance init function
+ * @param[in] S points to an instance of the polynomial SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes,
+ float32_t gamma
+ );
+
+/**
+ * @brief SVM rbf prediction
+ * @param[in] S Pointer to an instance of the rbf SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult decision value
+ * @return none.
+ *
+ */
+void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+/**
+ * @brief SVM sigmoid instance init function
+ * @param[in] S points to an instance of the rbf SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] coef0 coeff0 (scikit-learn terminology)
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes,
+ float32_t coef0,
+ float32_t gamma
+ );
+
+/**
+ * @brief SVM sigmoid prediction
+ * @param[in] S Pointer to an instance of the rbf SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+
+
+/**
+ * @brief Instance structure for Naive Gaussian Bayesian estimator.
+ */
+typedef struct
+{
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ uint32_t numberOfClasses; /**< Number of different classes */
+ const float32_t *theta; /**< Mean values for the Gaussians */
+ const float32_t *sigma; /**< Variances for the Gaussians */
+ const float32_t *classPriors; /**< Class prior probabilities */
+ float32_t epsilon; /**< Additive value to variances */
+} arm_gaussian_naive_bayes_instance_f32;
+
+/**
+ * @brief Naive Gaussian Bayesian Estimator
+ *
+ * @param[in] S points to a naive bayes instance structure
+ * @param[in] in points to the elements of the input vector.
+ * @param[in] pBuffer points to a buffer of length numberOfClasses
+ * @return The predicted class
+ *
+ */
+
+
+uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S,
+ const float32_t * in,
+ float32_t *pBuffer);
+
+/**
+ * @brief Computation of the LogSumExp
+ *
+ * In probabilistic computations, the dynamic of the probability values can be very
+ * wide because they come from gaussian functions.
+ * To avoid underflow and overflow issues, the values are represented by their log.
+ * In this representation, multiplying the original exp values is easy : their logs are added.
+ * But adding the original exp values is requiring some special handling and it is the
+ * goal of the LogSumExp function.
+ *
+ * If the values are x1...xn, the function is computing:
+ *
+ * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that
+ * rounding issues are minimised.
+ *
+ * The max xm of the values is extracted and the function is computing:
+ * xm + ln(exp(x1 - xm) + ... + exp(xn - xm))
+ *
+ * @param[in] *in Pointer to an array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return LogSumExp
+ *
+ */
+
+
+float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize);
+
+/**
+ * @brief Dot product with log arithmetic
+ *
+ * Vectors are containing the log of the samples
+ *
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[in] pTmpBuffer temporary buffer of length blockSize
+ * @return The log of the dot product .
+ *
+ */
+
+
+float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t blockSize,
+ float32_t *pTmpBuffer);
+
+/**
+ * @brief Entropy
+ *
+ * @param[in] pSrcA Array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Entropy -Sum(p ln p)
+ *
+ */
+
+
+float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize);
+
+
+/**
+ * @brief Entropy
+ *
+ * @param[in] pSrcA Array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Entropy -Sum(p ln p)
+ *
+ */
+
+
+float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize);
+
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in] pSrcA Pointer to an array of input values for probability distribution A.
+ * @param[in] pSrcB Pointer to an array of input values for probability distribution B.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Kullback-Leibler Divergence D(A || B)
+ *
+ */
+float32_t arm_kullback_leibler_f32(const float32_t * pSrcA
+ ,const float32_t * pSrcB
+ ,uint32_t blockSize);
+
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in] pSrcA Pointer to an array of input values for probability distribution A.
+ * @param[in] pSrcB Pointer to an array of input values for probability distribution B.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Kullback-Leibler Divergence D(A || B)
+ *
+ */
+float64_t arm_kullback_leibler_f64(const float64_t * pSrcA,
+ const float64_t * pSrcB,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Weighted sum
+ *
+ *
+ * @param[in] *in Array of input values.
+ * @param[in] *weigths Weights
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Weighted sum
+ *
+ */
+float32_t arm_weighted_sum_f32(const float32_t *in
+ , const float32_t *weigths
+ , uint32_t blockSize);
+
+
+/**
+ * @brief Barycenter
+ *
+ *
+ * @param[in] in List of vectors
+ * @param[in] weights Weights of the vectors
+ * @param[out] out Barycenter
+ * @param[in] nbVectors Number of vectors
+ * @param[in] vecDim Dimension of space (vector dimension)
+ * @return None
+ *
+ */
+void arm_barycenter_f32(const float32_t *in
+ , const float32_t *weights
+ , float32_t *out
+ , uint32_t nbVectors
+ , uint32_t vecDim);
+
+/**
+ * @brief Euclidean distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Bray-Curtis distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Canberra distance between two vectors
+ *
+ * This function may divide by zero when samples pA[i] and pB[i] are both zero.
+ * The result of the computation will be correct. So the division per zero may be
+ * ignored.
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Chebyshev distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Cityblock (Manhattan) distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Correlation distance between two vectors
+ *
+ * The input vectors are modified in place !
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Cosine distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Jensen-Shannon distance between two vectors
+ *
+ * This function is assuming that elements of second vector are > 0
+ * and 0 only when the corresponding element of first vector is 0.
+ * Otherwise the result of the computation does not make sense
+ * and for speed reasons, the cases returning NaN or Infinity are not
+ * managed.
+ *
+ * When the function is computing x log (x / y) with x 0 and y 0,
+ * it will compute the right value (0) but a division per zero will occur
+ * and shoudl be ignored in client code.
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize);
+
+/**
+ * @brief Minkowski distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] n Norm order (>= 2)
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+
+
+float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize);
+
+/**
+ * @brief Dice distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] order Distance order
+ * @param[in] blockSize Number of samples
+ * @return distance
+ *
+ */
+
+
+float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Hamming distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Jaccard distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Kulsinski distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Roger Stanimoto distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Russell-Rao distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Sokal-Michener distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Sokal-Sneath distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Yule distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+
+ /**
+ * @ingroup groupInterpolation
+ */
+
+ /**
+ * @defgroup BilinearInterpolate Bilinear Interpolation
+ *
+ * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
+ * The underlying function f(x, y) is sampled on a regular grid and the interpolation process
+ * determines values between the grid points.
+ * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
+ * Bilinear interpolation is often used in image processing to rescale images.
+ * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
+ *
+ * Algorithm
+ * \par
+ * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
+ * For floating-point, the instance structure is defined as:
+ *
+ * typedef struct
+ * {
+ * uint16_t numRows;
+ * uint16_t numCols;
+ * float32_t *pData;
+ * } arm_bilinear_interp_instance_f32;
+ *
+ *
+ * \par
+ * where numRows specifies the number of rows in the table;
+ * numCols specifies the number of columns in the table;
+ * and pData points to an array of size numRows*numCols values.
+ * The data table pTable is organized in row order and the supplied data values fall on integer indexes.
+ * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers.
+ *
+ * \par
+ * Let (x, y) specify the desired interpolation point. Then define:
+ * + * XF = floor(x) + * YF = floor(y) + *+ * \par + * The interpolated output point is computed as: + *
+ * f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF)) + * + f(XF+1, YF) * (x-XF)*(1-(y-YF)) + * + f(XF, YF+1) * (1-(x-XF))*(y-YF) + * + f(XF+1, YF+1) * (x-XF)*(y-YF) + *+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * @brief Floating-point bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE float32_t arm_bilinear_interp_f32( + const arm_bilinear_interp_instance_f32 * S, + float32_t X, + float32_t Y) + { + float32_t out; + float32_t f00, f01, f10, f11; + float32_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float32_t xdiff, ydiff; + float32_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (xIndex < 0 || xIndex > (S->numCols - 2) || yIndex < 0 || yIndex > (S->numRows - 2)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex ) + (yIndex ) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex ) + (yIndex+1) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = f01 - f00; + b3 = f10 - f00; + b4 = f00 - f01 - f10 + f11; + + /* Calculation of fractional part in X */ + xdiff = X - xIndex; + + /* Calculation of fractional part in Y */ + ydiff = Y - yIndex; + + /* Calculation of bi-linear interpolated output */ + out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff; + + /* return to application */ + return (out); + } + + + /** + * @brief Q31 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q31_t arm_bilinear_interp_q31( + arm_bilinear_interp_instance_q31 * S, + q31_t X, + q31_t Y) + { + q31_t out; /* Temporary output */ + q31_t acc = 0; /* output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q31_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q31_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* shift left xfract by 11 to keep 1.31 format */ + xfract = (X & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + (int32_t)nCols * (cI) ]; + x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1]; + + /* 20 bits for the fractional part */ + /* shift left yfract by 11 to keep 1.31 format */ + yfract = (Y & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + (int32_t)nCols * (cI + 1) ]; + y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */ + out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32)); + acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32)); + + /* x2 * (xfract) * (1-yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (xfract) >> 32)); + + /* y1 * (1 - xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* y2 * (xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y2 * (xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* Convert acc to 1.31(q31) format */ + return ((q31_t)(acc << 2)); + } + + + /** + * @brief Q15 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q15_t arm_bilinear_interp_q15( + arm_bilinear_interp_instance_q15 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q15_t x1, x2, y1, y2; /* Nearest output values */ + q31_t xfract, yfract; /* X, Y fractional parts */ + int32_t rI, cI; /* Row and column indices */ + q15_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */ + + /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */ + /* convert 13.35 to 13.31 by right shifting and out is in 1.31 */ + out = (q31_t) (((q63_t) x1 * (0x0FFFFF - xfract)) >> 4U); + acc = ((q63_t) out * (0x0FFFFF - yfract)); + + /* x2 * (xfract) * (1-yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) x2 * (0x0FFFFF - yfract)) >> 4U); + acc += ((q63_t) out * (xfract)); + + /* y1 * (1 - xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y1 * (0x0FFFFF - xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* y2 * (xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* acc is in 13.51 format and down shift acc by 36 times */ + /* Convert out to 1.15 format */ + return ((q15_t)(acc >> 36)); + } + + + /** + * @brief Q7 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q7_t arm_bilinear_interp_q7( + arm_bilinear_interp_instance_q7 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q7_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q7_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */ + out = ((x1 * (0xFFFFF - xfract))); + acc = (((q63_t) out * (0xFFFFF - yfract))); + + /* x2 * (xfract) * (1-yfract) in 2.22 and adding to acc */ + out = ((x2 * (0xFFFFF - yfract))); + acc += (((q63_t) out * (xfract))); + + /* y1 * (1 - xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y1 * (0xFFFFF - xfract))); + acc += (((q63_t) out * (yfract))); + + /* y2 * (xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y2 * (yfract))); + acc += (((q63_t) out * (xfract))); + + /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */ + return ((q7_t)(acc >> 40)); + } + + /** + * @} end of BilinearInterpolate group + */ + + +/* SMMLAR */ +#define multAcc_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMLSR */ +#define multSub_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMULR */ +#define mult_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32) + +/* SMMLA */ +#define multAcc_32x32_keep32(a, x, y) \ + a += (q31_t) (((q63_t) x * y) >> 32) + +/* SMMLS */ +#define multSub_32x32_keep32(a, x, y) \ + a -= (q31_t) (((q63_t) x * y) >> 32) + +/* SMMUL */ +#define mult_32x32_keep32(a, x, y) \ + a = (q31_t) (((q63_t) x * y ) >> 32) + + +#if defined ( __CC_ARM ) + /* Enter low optimization region - place directly above function definition */ + #if defined( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("push") \ + _Pragma ("O1") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_EXIT \ + _Pragma ("pop") + #else + #define LOW_OPTIMIZATION_EXIT + #endif + + /* Enter low optimization region - place directly above function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __GNUC__ ) + #define LOW_OPTIMIZATION_ENTER \ + __attribute__(( optimize("-O1") )) + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __ICCARM__ ) + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define LOW_OPTIMIZATION_EXIT + + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TI_ARM__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __CSMC__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TASKING__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT +#endif + + + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) +#pragma GCC diagnostic pop + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_MATH_H */ + +/** + * + * End of file. + */ diff --git a/CMSIS/DSP/Include/arm_mve_tables.h b/CMSIS/DSP/Include/arm_mve_tables.h new file mode 100755 index 0000000..4d2c135 --- /dev/null +++ b/CMSIS/DSP/Include/arm_mve_tables.h @@ -0,0 +1,235 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mve_tables.h + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * used for MVE implementation only + * + * $Date: 08. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + #ifndef _ARM_MVE_TABLES_H + #define _ARM_MVE_TABLES_H + + #include "arm_math.h" + + + + + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]; +extern float32_t rearranged_twiddle_stride1_16_f32[8]; +extern float32_t rearranged_twiddle_stride2_16_f32[8]; +extern float32_t rearranged_twiddle_stride3_16_f32[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]; +extern float32_t rearranged_twiddle_stride1_64_f32[40]; +extern float32_t rearranged_twiddle_stride2_64_f32[40]; +extern float32_t rearranged_twiddle_stride3_64_f32[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]; +extern float32_t rearranged_twiddle_stride1_256_f32[168]; +extern float32_t rearranged_twiddle_stride2_256_f32[168]; +extern float32_t rearranged_twiddle_stride3_256_f32[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5]; +extern float32_t rearranged_twiddle_stride1_1024_f32[680]; +extern float32_t rearranged_twiddle_stride2_1024_f32[680]; +extern float32_t rearranged_twiddle_stride3_1024_f32[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) || defined(ARM_TABLE_TWIDDLECOEF_F32_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6]; +extern float32_t rearranged_twiddle_stride1_4096_f32[2728]; +extern float32_t rearranged_twiddle_stride2_4096_f32[2728]; +extern float32_t rearranged_twiddle_stride3_4096_f32[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]; +extern q31_t rearranged_twiddle_stride1_16_q31[8]; +extern q31_t rearranged_twiddle_stride2_16_q31[8]; +extern q31_t rearranged_twiddle_stride3_16_q31[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]; +extern q31_t rearranged_twiddle_stride1_64_q31[40]; +extern q31_t rearranged_twiddle_stride2_64_q31[40]; +extern q31_t rearranged_twiddle_stride3_64_q31[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]; +extern q31_t rearranged_twiddle_stride1_256_q31[168]; +extern q31_t rearranged_twiddle_stride2_256_q31[168]; +extern q31_t rearranged_twiddle_stride3_256_q31[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]; +extern q31_t rearranged_twiddle_stride1_1024_q31[680]; +extern q31_t rearranged_twiddle_stride2_1024_q31[680]; +extern q31_t rearranged_twiddle_stride3_1024_q31[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]; +extern q31_t rearranged_twiddle_stride1_4096_q31[2728]; +extern q31_t rearranged_twiddle_stride2_4096_q31[2728]; +extern q31_t rearranged_twiddle_stride3_4096_q31[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]; +extern q15_t rearranged_twiddle_stride1_16_q15[8]; +extern q15_t rearranged_twiddle_stride2_16_q15[8]; +extern q15_t rearranged_twiddle_stride3_16_q15[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]; +extern q15_t rearranged_twiddle_stride1_64_q15[40]; +extern q15_t rearranged_twiddle_stride2_64_q15[40]; +extern q15_t rearranged_twiddle_stride3_64_q15[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]; +extern q15_t rearranged_twiddle_stride1_256_q15[168]; +extern q15_t rearranged_twiddle_stride2_256_q15[168]; +extern q15_t rearranged_twiddle_stride3_256_q15[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]; +extern q15_t rearranged_twiddle_stride1_1024_q15[680]; +extern q15_t rearranged_twiddle_stride2_1024_q15[680]; +extern q15_t rearranged_twiddle_stride3_1024_q15[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]; +extern q15_t rearranged_twiddle_stride1_4096_q15[2728]; +extern q15_t rearranged_twiddle_stride2_4096_q15[2728]; +extern q15_t rearranged_twiddle_stride3_4096_q15[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#endif /*_ARM_MVE_TABLES_H*/ + diff --git a/CMSIS/DSP/Include/arm_vec_math.h b/CMSIS/DSP/Include/arm_vec_math.h new file mode 100755 index 0000000..0ce9464 --- /dev/null +++ b/CMSIS/DSP/Include/arm_vec_math.h @@ -0,0 +1,372 @@ +/****************************************************************************** + * @file arm_vec_math.h + * @brief Public header file for CMSIS DSP Library + * @version V1.7.0 + * @date 15. October 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_MATH_H +#define _ARM_VEC_MATH_H + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define INV_NEWTON_INIT_F32 0x7EF127EA + +static const float32_t __logf_rng_f32=0.693147180f; + + +/* fast inverse approximation (3x newton) */ +__STATIC_INLINE f32x4_t vrecip_medprec_f32( + f32x4_t x) +{ + q31x4_t m; + f32x4_t b; + any32x4_t xinv; + f32x4_t ax = vabsq(x); + + xinv.f = ax; + m = 0x3F800000 - (xinv.i & 0x7F800000); + xinv.i = xinv.i + m; + xinv.f = 1.41176471f - 0.47058824f * xinv.f; + xinv.i = xinv.i + m; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f)); + /* + * restore sign + */ + xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f)); + + return xinv.f; +} + +/* fast inverse approximation (4x newton) */ +__STATIC_INLINE f32x4_t vrecip_hiprec_f32( + f32x4_t x) +{ + q31x4_t m; + f32x4_t b; + any32x4_t xinv; + f32x4_t ax = vabsq(x); + + xinv.f = ax; + + m = 0x3F800000 - (xinv.i & 0x7F800000); + xinv.i = xinv.i + m; + xinv.f = 1.41176471f - 0.47058824f * xinv.f; + xinv.i = xinv.i + m; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f)); + /* + * restore sign + */ + xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f)); + + return xinv.f; +} + +__STATIC_INLINE f32x4_t vdiv_f32( + f32x4_t num, f32x4_t den) +{ + return vmulq(num, vrecip_hiprec_f32(den)); +} + +/** + @brief Single-precision taylor dev. + @param[in] x f32 quad vector input + @param[in] coeffs f32 quad vector coeffs + @return destination f32 quad vector + */ + +__STATIC_INLINE f32x4_t vtaylor_polyq_f32( + f32x4_t x, + const float32_t * coeffs) +{ + f32x4_t A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]); + f32x4_t B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]); + f32x4_t C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]); + f32x4_t D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]); + f32x4_t x2 = vmulq(x, x); + f32x4_t x4 = vmulq(x2, x2); + f32x4_t res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4); + + return res; +} + +__STATIC_INLINE f32x4_t vmant_exp_f32( + f32x4_t x, + int32x4_t * e) +{ + any32x4_t r; + int32x4_t n; + + r.f = x; + n = r.i >> 23; + n = n - 127; + r.i = r.i - (n << 23); + + *e = n; + return r.f; +} + + +__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn) +{ + q31x4_t vecExpUnBiased; + f32x4_t vecTmpFlt0, vecTmpFlt1; + f32x4_t vecAcc0, vecAcc1, vecAcc2, vecAcc3; + f32x4_t vecExpUnBiasedFlt; + + /* + * extract exponent + */ + vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased); + + vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1; + /* + * a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]); + */ + vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]); + vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]); + /* + * b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]); + */ + vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]); + vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]); + /* + * c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]); + */ + vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]); + vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]); + /* + * d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]); + */ + vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]); + vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]); + /* + * a = a + b * xx; + */ + vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0); + /* + * c = c + d * xx; + */ + vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0); + /* + * xx = xx * xx; + */ + vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0; + vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased); + /* + * r.f = a + c * xx; + */ + vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0); + /* + * add exponent + * r.f = r.f + ((float32_t) m) * __logf_rng_f32; + */ + vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32); + // set log0 down to -inf + vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f)); + return vecAcc0; +} + +__STATIC_INLINE f32x4_t vexpq_f32( + f32x4_t x) +{ + // Perform range reduction [-log(2),log(2)] + int32x4_t m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f)); + f32x4_t val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f)); + + // Polynomial Approximation + f32x4_t poly = vtaylor_polyq_f32(val, exp_tab); + + // Reconstruct + poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23))); + + poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126)); + return poly; +} + +__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb) +{ + f32x4_t r = x; + nb--; + while (nb > 0) { + r = vmulq(r, x); + nb--; + } + return (r); +} + +__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn) +{ + f32x4_t vecSx, vecW, vecTmp; + any32x4_t v; + + vecSx = vabsq(vecIn); + + v.f = vecIn; + v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i); + + vecW = vmulq(vecSx, v.f); + + // v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w))))))); + vecTmp = vsubq(vdupq_n_f32(8.0f), vecW); + vecTmp = vfmasq(vecW, vecTmp, -28.0f); + vecTmp = vfmasq(vecW, vecTmp, 56.0f); + vecTmp = vfmasq(vecW, vecTmp, -70.0f); + vecTmp = vfmasq(vecW, vecTmp, 56.0f); + vecTmp = vfmasq(vecW, vecTmp, -28.0f); + vecTmp = vfmasq(vecW, vecTmp, 8.0f); + v.f = vmulq(v.f, vecTmp); + + v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f)); + /* + * restore sign + */ + v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f)); + return v.f; +} + +__STATIC_INLINE f32x4_t vtanhq_f32( + f32x4_t val) +{ + f32x4_t x = + vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f)); + f32x4_t exp2x = vexpq_f32(vmulq_n_f32(x, 2.f)); + f32x4_t num = vsubq_n_f32(exp2x, 1.f); + f32x4_t den = vaddq_n_f32(exp2x, 1.f); + f32x4_t tanh = vmulq_f32(num, vrecip_f32(den)); + return tanh; +} + +__STATIC_INLINE f32x4_t vpowq_f32( + f32x4_t val, + f32x4_t n) +{ + return vexpq_f32(vmulq_f32(n, vlogq_f32(val))); +} + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "NEMath.h" +/** + * @brief Vectorized integer exponentiation + * @param[in] x value + * @param[in] nb integer exponent >= 1 + * @return x^nb + * + */ +__STATIC_INLINE float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb) +{ + float32x4_t r = x; + nb --; + while(nb > 0) + { + r = vmulq_f32(r , x); + nb--; + } + return(r); +} + + +__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t x) +{ + float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN)); + float32x4_t e = vrsqrteq_f32(x1); + e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e); + e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e); + return vmulq_f32(x, e); +} + +__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec) +{ + float32x4_t tempF; + int32x4_t tempHI,tempLO; + + tempLO = vmovl_s16(vget_low_s16(vec)); + tempF = vcvtq_n_f32_s32(tempLO,15); + tempF = __arm_vec_sqrt_f32_neon(tempF); + tempLO = vcvtq_n_s32_f32(tempF,15); + + tempHI = vmovl_s16(vget_high_s16(vec)); + tempF = vcvtq_n_f32_s32(tempHI,15); + tempF = __arm_vec_sqrt_f32_neon(tempF); + tempHI = vcvtq_n_s32_f32(tempF,15); + + return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI))); +} + +__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec) +{ + float32x4_t temp; + + temp = vcvtq_n_f32_s32(vec,31); + temp = __arm_vec_sqrt_f32_neon(temp); + return(vcvtq_n_s32_f32(temp,31)); +} + +#endif /* (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_MATH_H */ + +/** + * + * End of file. + */ diff --git a/CMSIS/DSP/PrivateInclude/arm_sorting.h b/CMSIS/DSP/PrivateInclude/arm_sorting.h new file mode 100644 index 0000000..ec002b2 --- /dev/null +++ b/CMSIS/DSP/PrivateInclude/arm_sorting.h @@ -0,0 +1,200 @@ +/****************************************************************************** + * @file arm_sorting.h + * @brief Private header file for CMSIS DSP Library + * @version V1.7.0 + * @date 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_SORTING_H_ +#define _ARM_SORTING_H_ + +#include "arm_math.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_bubble_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_heap_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_insertion_sort_f32( + const arm_sort_instance_f32 * S, + float32_t *pSrc, + float32_t* pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_quick_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_selection_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_bitonic_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + +#if defined(ARM_MATH_NEON) + +#define vtrn256_128q(a, b) \ +do { \ + float32x4_t vtrn128_temp = a.val[1]; \ + a.val[1] = b.val[0]; \ + b.val[0] = vtrn128_temp ; \ +} while (0) + +#define vtrn128_64q(a, b) \ +do { \ + float32x2_t ab, cd, ef, gh; \ + ab = vget_low_f32(a); \ + ef = vget_low_f32(b); \ + cd = vget_high_f32(a); \ + gh = vget_high_f32(b); \ + a = vcombine_f32(ab, ef); \ + b = vcombine_f32(cd, gh); \ +} while (0) + +#define vtrn256_64q(a, b) \ +do { \ + float32x2_t a_0, a_1, a_2, a_3; \ + float32x2_t b_0, b_1, b_2, b_3; \ + a_0 = vget_low_f32(a.val[0]); \ + a_1 = vget_high_f32(a.val[0]); \ + a_2 = vget_low_f32(a.val[1]); \ + a_3 = vget_high_f32(a.val[1]); \ + b_0 = vget_low_f32(b.val[0]); \ + b_1 = vget_high_f32(b.val[0]); \ + b_2 = vget_low_f32(b.val[1]); \ + b_3 = vget_high_f32(b.val[1]); \ + a.val[0] = vcombine_f32(a_0, b_0); \ + a.val[1] = vcombine_f32(a_2, b_2); \ + b.val[0] = vcombine_f32(a_1, b_1); \ + b.val[1] = vcombine_f32(a_3, b_3); \ +} while (0) + +#define vtrn128_32q(a, b) \ +do { \ + float32x4x2_t vtrn32_tmp = vtrnq_f32((a), (b)); \ + (a) = vtrn32_tmp.val[0]; \ + (b) = vtrn32_tmp.val[1]; \ +} while (0) + +#define vtrn256_32q(a, b) \ +do { \ + float32x4x2_t vtrn32_tmp_1 = vtrnq_f32((a.val[0]), (b.val[0])); \ + float32x4x2_t vtrn32_tmp_2 = vtrnq_f32((a.val[1]), (b.val[1])); \ + a.val[0] = vtrn32_tmp_1.val[0]; \ + a.val[1] = vtrn32_tmp_2.val[0]; \ + b.val[0] = vtrn32_tmp_1.val[1]; \ + b.val[1] = vtrn32_tmp_2.val[1]; \ +} while (0) + +#define vminmaxq(a, b) \ + do { \ + float32x4_t minmax_tmp = (a); \ + (a) = vminq_f32((a), (b)); \ + (b) = vmaxq_f32(minmax_tmp, (b)); \ +} while (0) + +#define vminmax256q(a, b) \ + do { \ + float32x4x2_t minmax256_tmp = (a); \ + a.val[0] = vminq_f32(a.val[0], b.val[0]); \ + a.val[1] = vminq_f32(a.val[1], b.val[1]); \ + b.val[0] = vmaxq_f32(minmax256_tmp.val[0], b.val[0]); \ + b.val[1] = vmaxq_f32(minmax256_tmp.val[1], b.val[1]); \ +} while (0) + +#define vrev128q_f32(a) \ + vcombine_f32(vrev64_f32(vget_high_f32(a)), vrev64_f32(vget_low_f32(a))) + +#define vrev256q_f32(a) \ + do { \ + float32x4_t rev_tmp = vcombine_f32(vrev64_f32(vget_high_f32(a.val[0])), vrev64_f32(vget_low_f32(a.val[0]))); \ + a.val[0] = vcombine_f32(vrev64_f32(vget_high_f32(a.val[1])), vrev64_f32(vget_low_f32(a.val[1]))); \ + a.val[1] = rev_tmp; \ +} while (0) + +#define vldrev128q_f32(a, p) \ + do { \ + a = vld1q_f32(p); \ + a = vrev128q_f32(a); \ +} while (0) + +#endif /* ARM_MATH_NEON */ + +#ifdef __cplusplus +} +#endif + +#endif /* _ARM_SORTING_H */ diff --git a/CMSIS/DSP/PrivateInclude/arm_vec_fft.h b/CMSIS/DSP/PrivateInclude/arm_vec_fft.h new file mode 100755 index 0000000..b372d5a --- /dev/null +++ b/CMSIS/DSP/PrivateInclude/arm_vec_fft.h @@ -0,0 +1,58 @@ +/****************************************************************************** + * @file arm_vec_fft.h + * @brief Private header file for CMSIS DSP Library + * @version V1.7.0 + * @date 07. January 2020 + ******************************************************************************/ +/* + * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_FFT_H_ +#define _ARM_VEC_FFT_H_ + +#include "arm_math.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define MVE_CMPLX_ADD_A_ixB(A, B) vcaddq_rot90(A,B) +#define MVE_CMPLX_SUB_A_ixB(A,B) vcaddq_rot270(A,B) +#define MVE_CMPLX_MULT_FLT_AxB(A,B) vcmlaq_rot90(vcmulq(A, B), A, B) +#define MVE_CMPLX_MULT_FLT_Conj_AxB(A,B) vcmlaq_rot270(vcmulq(A, B), A, B) + +#define MVE_CMPLX_MULT_FX_AxB(A,B) vqdmladhxq(vqdmlsdhq((__typeof(A))vuninitializedq_s32(), A, B), A, B); +#define MVE_CMPLX_MULT_FX_AxConjB(A,B) vqdmladhq(vqdmlsdhxq((__typeof(A))vuninitializedq_s32(), A, B), A, B); + +#define MVE_CMPLX_ADD_FX_A_ixB(A, B) vhcaddq_rot90(A,B) +#define MVE_CMPLX_SUB_FX_A_ixB(A,B) vhcaddq_rot270(A,B) + + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_FFT_H_ */ \ No newline at end of file diff --git a/CMSIS/DSP/PrivateInclude/arm_vec_filtering.h b/CMSIS/DSP/PrivateInclude/arm_vec_filtering.h new file mode 100755 index 0000000..65fc752 --- /dev/null +++ b/CMSIS/DSP/PrivateInclude/arm_vec_filtering.h @@ -0,0 +1,1661 @@ +/****************************************************************************** + * @file arm_vec_filtering.h + * @brief Private header file for CMSIS DSP Library + * @version V1.7.0 + * @date 30. October 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_FILTERING_H_ +#define _ARM_VEC_FILTERING_H_ + +#include "arm_math.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F32(acc0, acc1, acc2, acc3, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, acc2Vec, acc3Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + acc2Vec = vdupq_n_f32(0.0f); \ + acc3Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vldrwq_f32(&pSrcX[2]); \ + acc2Vec = vfmaq_f32(acc2Vec, xVec, yVec); \ + xVec = vldrwq_f32(&pSrcX[3]); \ + acc3Vec = vfmaq_f32(acc3Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vldrwq_f32(&pSrcX[2]); \ + acc2Vec = vfmaq_m_f32(acc2Vec, xVec, yVec, p0); \ + xVec = vldrwq_f32(&pSrcX[3]); \ + acc3Vec = vfmaq_m_f32(acc3Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + } \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ + acc2 = vecAddAcrossF32Mve(acc2Vec); \ + acc3 = vecAddAcrossF32Mve(acc3Vec); \ +} + +#define MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count) \ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t accVec, xVec, yVec; \ + uint32_t k; \ + \ + accVec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + accVec = vfmaq_f32(accVec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + accVec = vfmaq_m_f32(accVec, xVec, yVec, p0);\ + } \ + acc = vecAddAcrossF32Mve(accVec); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = (count-1) >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x4U; \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + } \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + yVec = vldrwq_f32(&pSrcY[-1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + yVec = vldrwq_f32(&pSrcY[-1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec,p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = (count - 1) >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = (count - 1) % 0x4U; \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + p0 = vctp32q(k+1); \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + } \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + const float32_t *pY1 = pY + 1; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + yVec = vldrwq_gather_shifted_offset_f32(pY1, decrIdxVec); \ + pY1-=4; \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + yVec = vldrwq_gather_shifted_offset_f32(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + f32x4_t accVec, xVec, yVec; \ + uint32_t k; \ + \ + accVec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + accVec = vfmaq_f32(accVec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + accVec = vfmaq_m_f32(accVec, xVec, yVec, p0); \ + } \ + acc = vecAddAcrossF32Mve(accVec); \ +} + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) + +#define MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 31); \ +} + + + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + const q31_t *pY1 = pY + 1; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + yVec = vldrwq_gather_shifted_offset_s32(pY1, decrIdxVec); \ + pY1-=4; \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + yVec = vldrwq_gather_shifted_offset_s32(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + + + + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count)\ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = (count-1) >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = (count - 1) % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + + + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + + + +#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ + acc2 = asrl(acc2, 31); \ + acc3 = asrl(acc3, 31); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_s32(&pSrcY[-1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_s32(&pSrcY[-1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec,p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + +#define MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 31); \ +} + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ + acc2 = asrl(acc2, 31); \ + acc3 = asrl(acc3, 31); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = (count-1) >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x4U; \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_s16(&pSrcY[-1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x8U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp16q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_s16(&pSrcY[-1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec,p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 15); \ + acc = __SSAT(acc, 16); \ +} + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc2 = asrl(acc2, 15); \ + acc3 = asrl(acc3, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ + acc2 = __SSAT(acc2, 16); \ + acc3 = __SSAT(acc3, 16); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = (count-1) >> 3; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x8U; \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp16q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + const q15_t *pY1 = pY + 1; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + yVec = vldrhq_gather_shifted_offset_s16(pY1, decrIdxVec); \ + pY1-=8; \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x8U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp16q(k); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + yVec = vldrhq_gather_shifted_offset_s16(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp16q(k+1); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 15); \ + acc = __SSAT(acc, 16); \ +} + +#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc2 = asrl(acc2, 15); \ + acc3 = asrl(acc3, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ + acc2 = __SSAT(acc2, 16); \ + acc3 = __SSAT(acc3, 16); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = (count-1) >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = (count - 1) % 0x8U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp16q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_s8(&pSrcY[-1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x10U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp8q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_s8(&pSrcY[-1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec,p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc = vmladavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc = vmladavaq_p(acc, xVec, yVec, p0); \ + } \ + acc =(acc >> 7); \ + acc = __SSAT(acc, 8); \ +} + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq(acc2, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc2 = (acc2 >> 7); \ + acc3 = (acc3 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ + acc2 = __SSAT(acc2, 8); \ + acc3 = __SSAT(acc3, 8); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = (count-1) >> 4; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x10U; \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp8q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + const q7_t *pY1 = pY + 1; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + yVec = vldrbq_gather_offset_s8(pY1, decrIdxVec); \ + pY1-=16; \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x10U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp8q(k); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + yVec = vldrbq_gather_offset_s8(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp8q(k+1); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc = vmladavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + acc = vmladavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = __SSAT(acc >> 7, 8); \ +} + +#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq(acc2, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = __SSAT(acc0 >> 7, 8); \ + acc1 = __SSAT(acc1 >> 7, 8); \ + acc2 = __SSAT(acc2 >> 7, 8); \ + acc3 = __SSAT(acc3 >> 7, 8); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = __SSAT(acc0 >> 7, 8); \ + acc1 = __SSAT(acc1 >> 7, 8); \ +} + + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = (count-1) >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = (count - 1) % 0x10U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp8q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_FILTERING_H_ */ diff --git a/CMSIS/DSP/README.md b/CMSIS/DSP/README.md new file mode 100755 index 0000000..d2a540f --- /dev/null +++ b/CMSIS/DSP/README.md @@ -0,0 +1,144 @@ +# README + +## How to use + +This document is explaining how to use cmake with CMSIS-DSP. + +The example arm_variance_f32 in folder Examples/ARM/arm_variance_f32 has been modified to also +support cmake and is used as an example in this document. + +### Generating the Makefiles + +To build example arm_variance_f32 with cmake, you need to create a build folder where the build will take place. Don't build in your source directory. + +You can create a build folder in Examples/ARM/arm_variance_f32 + +Once you are in the build folder, you can use cmake to generate the Makefiles. + +The cmake command is requiring several arguments. For instance, to build for m7 with AC6 compiler: + + cmake -DCMAKE_PREFIX_PATH="path to compiler (folder containing the bin folder)" \ + -DCMAKE_TOOLCHAIN_FILE="../../../../armac6.cmake" \ + -DARM_CPU="cortex-m7" \ + -DROOT="../../../../../.." \ + -DPLATFORM="FVP" \ + -G "Unix Makefiles" .. + +DCMAKE_PREFIX_PATH is the path to the compiler toolchain. This folder should contain the bin folder where are the compiler executables. + +ROOT is pointing to the root CMSIS folder (the one containing CMSIS and Device). + +PLATFORM is used to select the boot code for the example. In example below, Fast Model (FVP) is selected and the boot code for fast model will be used. + +CMAKE_TOOLCHAIN_FILE is selecting the toolchain (ac6, ac5 or gcc). The files are in CMSIS/DSP. + +ARM_CPU is selecting the core. The syntax must be the one recognized by the compiler. +(So for instance different between AC5 and AC6). + +The final .. is the path to the directory containing the CMakeLists.txt of the variance example. +Since the build folder is assumed to be created in arm_variance_examples then the path to CMakeLists.txt from the build folder is .. + +To build for A5, you need to change DCMAKE_TOOLCHAIN_FILE and ARM_CPU: + + -DCMAKE_TOOLCHAIN_FILE=../../../../armac5.cmake + -DARM_CPU="cortex-a5" + +To build for A5 with Neon acceleration, you need to add: + + -DNEON=ON + +### Building + +Once cmake has generated the makefiles, you can use a GNU Make to build. + + make VERBOSE=1 + +### Running + +The generated executable can be run on a fast model. +For instance, if you built for m7, you could just do: + + FVP_MPS2_Cortex-M7.exe -a arm_variance_example + +The final executable has no extension in the filename. + +## Building only the CMSIS-DSP library + +If you want to build only the CMSIS-DSP library and don't link with any boot code then you'll need to write a specific cmake. + +Create a folder BuildCMSISOnly. + +Inside the folder, create a CMakeLists.txt with the following content: + +```cmake +cmake_minimum_required (VERSION 3.6) + +# Define the project +project (testcmsisdsp VERSION 0.1) + +# Define the path to CMSIS-DSP (ROOT is defined on command line when using cmake) +set(DSP ${ROOT}/CMSIS/DSP) + +# Add DSP folder to module path +list(APPEND CMAKE_MODULE_PATH ${DSP}) + +########### +# +# CMSIS DSP +# + +# Load CMSIS-DSP definitions. Libraries will be built in bin_dsp +add_subdirectory(${DSP}/Source bin_dsp) +``` + +Create a build folder inside the BuildCMSISOnly folder. + +Inside the build folder, type following cmake command + + cmake -DROOT="path to CMSIS Root" \ + -DCMAKE_PREFIX_PATH="path to compiler (folder containing the bin folder)" \ + -DCMAKE_TOOLCHAIN_FILE="../../CMSIS_ROOT/CMSIS/DSP/armac6.cmake" \ + -DARM_CPU="cortex-m7" \ + -G "Unix Makefiles" .. + +Now you can make: + + make VERBOSE=1 + +When the build has finished, you'll have a bin_dsp folder inside your build folder. +Inside bin_dsp, you'll have a folder per CMSIS-DSP Folder : BasicMathFunctions ... + +Inside each of those folders, you'll have a library : libCMSISDSPBasicMath.a ... + + + +## Compilation symbols for tables + +Some new compilations symbols have been introduced to avoid including all the tables if they are not needed. + +If no new symbol is defined, everything will behave as usual. If ARM_DSP_CONFIG_TABLES is defined then the new symbols will be taken into account. + +Then you can select all FFT tables or all interpolation tables by defining following compilation symbols: + +* ARM_ALL_FFT_TABLES : All FFT tables are included +* ARM_ALL_FAST_TABLES : All interpolation tables are included + +If more control is required, there are other symbols but it is not always easy to know which ones need to be enabled for a given use case. + +If you use cmake, it is easy since high level options are defined and they will select the right compilation symbols. If you don't use cmake, you can just look at fft.cmake to see which compilation symbols are needed. + +For instance, if you want to use the arm_rfft_fast_f32, in fft.cmake you'll see an option RFFT_FAST_F32_32. + +We see that following symbols need to be enabled : + +* ARM_TABLE_TWIDDLECOEF_F32_16 +* ARM_TABLE_BITREVIDX_FLT_16 +* ARM_TABLE_TWIDDLECOEF_RFFT_F32_32 +* ARM_TABLE_TWIDDLECOEF_F32_16 + +In addition to that, ARM_DSP_CONFIG_TABLES must be enabled and finally ARM_FFT_ALLOW_TABLES must also be defined. + +This last symbol is required because if no transform functions are included in the build, then by default all flags related to FFT tables are ignored. + + + diff --git a/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c b/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c new file mode 100644 index 0000000..3532f78 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BasicMathFunctions.c + * Description: Combination of all basic math function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_abs_f32.c" +#include "arm_abs_q15.c" +#include "arm_abs_q31.c" +#include "arm_abs_q7.c" +#include "arm_add_f32.c" +#include "arm_add_q15.c" +#include "arm_add_q31.c" +#include "arm_add_q7.c" +#include "arm_and_u16.c" +#include "arm_and_u32.c" +#include "arm_and_u8.c" +#include "arm_dot_prod_f32.c" +#include "arm_dot_prod_q15.c" +#include "arm_dot_prod_q31.c" +#include "arm_dot_prod_q7.c" +#include "arm_mult_f32.c" +#include "arm_mult_q15.c" +#include "arm_mult_q31.c" +#include "arm_mult_q7.c" +#include "arm_negate_f32.c" +#include "arm_negate_q15.c" +#include "arm_negate_q31.c" +#include "arm_negate_q7.c" +#include "arm_not_u16.c" +#include "arm_not_u32.c" +#include "arm_not_u8.c" +#include "arm_offset_f32.c" +#include "arm_offset_q15.c" +#include "arm_offset_q31.c" +#include "arm_offset_q7.c" +#include "arm_or_u16.c" +#include "arm_or_u32.c" +#include "arm_or_u8.c" +#include "arm_scale_f32.c" +#include "arm_scale_q15.c" +#include "arm_scale_q31.c" +#include "arm_scale_q7.c" +#include "arm_shift_q15.c" +#include "arm_shift_q31.c" +#include "arm_shift_q7.c" +#include "arm_sub_f32.c" +#include "arm_sub_q15.c" +#include "arm_sub_q31.c" +#include "arm_sub_q7.c" +#include "arm_xor_u16.c" +#include "arm_xor_u32.c" +#include "arm_xor_u8.c" diff --git a/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt b/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt new file mode 100644 index 0000000..ee3e215 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPBasicMath) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPBasicMath STATIC ${SRC}) + +configLib(CMSISDSPBasicMath ${ROOT}) +configDsp(CMSISDSPBasicMath ${ROOT}) + +### Includes +target_include_directories(CMSISDSPBasicMath PUBLIC "${DSP}/Include") + + + diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c new file mode 100644 index 0000000..ccae6d3 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_f32.c + * Description: Floating-point vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include
+ pDst[n] = abs(pSrc[n]), 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Floating-point vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f32x4_t vec1; + f32x4_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vabsq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrc); + vstrwq_p(pDst, vabsq(vec1), p0); + } + +} + +#else +void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vabsq_f32(vec1); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicAbs group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c new file mode 100644 index 0000000..854fbd9 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q15.c + * Description: Q15 vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Q15 vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = |A| + * Calculate absolute and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqabsq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqabsq(vecSrc), p0); + } +} + +#else +void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicAbs group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c new file mode 100644 index 0000000..9f3d97b --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c @@ -0,0 +1,208 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q31.c + * Description: Q31 vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Q31 vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* + * C = |A| + * Calculate absolute and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqabsq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * Tail + */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqabsq(vecSrc), p0); + } +} + +#else +void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary variable */ + +#if defined(ARM_MATH_NEON) + int32x4_t vec1; + int32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Calculate absolute and then store the results in the destination buffer. */ + + vec1 = vld1q_s32(pSrc); + res = vqabsq_s32(vec1); + vst1q_s32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined (ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined (ARM_MATH_MVEI) */ +/** + @} end of BasicAbs group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c new file mode 100644 index 0000000..e016286 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c @@ -0,0 +1,180 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q7.c + * Description: Q7 vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Q7 vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Conditions for optimum performance + Input and output buffers should be aligned by 32-bit + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = |A| + * Calculate absolute and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqabsq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqabsq(vecSrc), p0); + } +} + +#else +void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q7_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7f) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7f) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t) __QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicAbs group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c new file mode 100644 index 0000000..abc0a06 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c @@ -0,0 +1,199 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_f32.c + * Description: Floating-point vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicAdd Vector Addition + + Element-by-element addition of two vectors. + +
+ pDst[n] = pSrcA[n] + pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Floating-point vector addition. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vaddq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vaddq(vec1,vec2), p0); + } + +} + +#else +void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vaddq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicAdd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c new file mode 100644 index 0000000..ff8ae06 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c @@ -0,0 +1,176 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q15.c + * Description: Q15 vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q15 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqaddq(vecA, vecB), p0); + } +} + +#else +void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t inB1, inB2; +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 times 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* Add and store 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, __QADD16(inA1, inB1)); + write_q15x2_ia (&pDst, __QADD16(inA2, inB2)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c new file mode 100644 index 0000000..f4ef3de --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q31.c + * Description: Q31 vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q31 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecA; + q31x4_t vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqaddq(vecA, vecB), p0); + } +} + +#else +void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c new file mode 100644 index 0000000..8836c85 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q7.c + * Description: Q7 vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q7 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqaddq(vecA, vecB), p0); + } +} +#else +void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + +#if defined (ARM_MATH_DSP) + /* Add and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QADD8 (read_q7x4_ia ((q7_t **) &pSrcA), read_q7x4_ia ((q7_t **) &pSrcB))); +#else + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ + *pSrcB++, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u16.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u16.c new file mode 100644 index 0000000..684df9a --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u16.c + * Description: uint16_t bitwise AND + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup And Vector bitwise AND + + Compute the logical bitwise AND. + + There are separate functions for uint32_t, uint16_t, and uint7_t data types. + */ + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, vandq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, vandq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u32.c new file mode 100644 index 0000000..0a02744 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u32.c + * Description: uint32_t bitwise AND + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, vandq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, vandq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u8.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u8.c new file mode 100644 index 0000000..00f72ec --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u8.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u8.c + * Description: uint8_t bitwise AND + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, vandq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, vandq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c new file mode 100644 index 0000000..2bce15b --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c @@ -0,0 +1,226 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_f32.c + * Description: Floating-point dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicDotProd Vector Dot Product + + Computes the dot product of two vectors. + The vectors are multiplied element-by-element and then summed. + +
+ sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1] ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of floating-point vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + + +void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + f32x4_t vecA, vecB; + f32x4_t vecSum; + uint32_t blkCnt; + float32_t sum = 0.0f; + vecSum = vdupq_n_f32(0.0f); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + * and advance vector source and destination pointers + */ + vecA = vld1q(pSrcA); + pSrcA += 4; + + vecB = vld1q(pSrcB); + pSrcB += 4; + + vecSum = vfmaq(vecSum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt --; + } + + + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vecSum = vfmaq_m(vecSum, vecA, vecB, p0); + } + + sum = vecAddAcrossF32Mve(vecSum); + + /* Store result in destination buffer */ + *result = sum; + +} + +#else + +void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary return variable */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t accum = vdupq_n_f32(0); + f32x2_t tmp = vdup_n_f32(0); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + + while (blkCnt > 0U) + { + /* C = A[0]*B[0] + A[1]*B[1] + A[2]*B[2] + ... + A[blockSize-1]*B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + + accum = vmlaq_f32(accum, vec1, vec2); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + + /* Decrement the loop counter */ + blkCnt--; + } + +#if __aarch64__ + sum = vpadds_f32(vpadd_f32(vget_low_f32(accum), vget_high_f32(accum))); +#else + tmp = vpadd_f32(vget_low_f32(accum), vget_high_f32(accum)); + sum = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1); + +#endif + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer */ + *result = sum; +} + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicDotProd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c new file mode 100644 index 0000000..7a6a525 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c @@ -0,0 +1,172 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q15.c + * Description: Q15 dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q15 vectors. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] blockSize number of samples in each vector + @param[out] result output result returned here + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these + results are added to a 64-bit accumulator in 34.30 format. + Nonsaturating additions are used and given that there are 33 guard bits in the accumulator + there is no risk of overflow. + The return result is in 34.30 format. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + q63_t sum = 0LL; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmlaldavaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmlaldavaq_p(sum, vecA, vecB, p0); + } + + *result = sum; +} + +#else +void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + +#if defined (ARM_MATH_DSP) + /* Calculate dot product and store result in a temporary buffer. */ + sum = __SMLALD(read_q15x2_ia ((q15_t **) &pSrcA), read_q15x2_ia ((q15_t **) &pSrcB), sum); + sum = __SMLALD(read_q15x2_ia ((q15_t **) &pSrcA), read_q15x2_ia ((q15_t **) &pSrcB), sum); +#else + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ +//#if defined (ARM_MATH_DSP) +// sum = __SMLALD(*pSrcA++, *pSrcB++, sum); +//#else + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); +//#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 34.30 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c new file mode 100644 index 0000000..0606f94 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c @@ -0,0 +1,174 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q31.c + * Description: Q31 dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q31 vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these + are truncated to 2.48 format by discarding the lower 14 bits. + The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + There are 15 guard bits in the accumulator and there is no risk of overflow as long as + the length of the vectors is less than 2^16 elements. + The return result is in 16.48 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecA; + q31x4_t vecB; + q63_t sum = 0LL; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vrmlaldavhaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vrmlaldavhaq_p(sum, vecA, vecB, p0); + } + + /* + * vrmlaldavhaq provides extra intermediate accumulator headroom. + * limiting the need of intermediate scaling + * Scalar variant uses 2.48 accu format by right shifting accumulators by 14. + * 16.48 output conversion is performed outside the loop by scaling accu. by 6 + */ + *result = asrl(sum, (14 - 8)); +} + +#else +void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 16.48 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c new file mode 100644 index 0000000..dff7ece --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q7.c + * Description: Q7 dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q7 vectors. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] blockSize number of samples in each vector + @param[out] result output result returned here + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these + results are added to an accumulator in 18.14 format. + Nonsaturating additions are used and there is no danger of wrap around as long as + the vectors are less than 2^18 elements long. + The return result is in 18.14 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + q31_t sum = 0; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmladavaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmladavaq_p(sum, vecA, vecB, p0); + } + + *result = sum; +} +#else +void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t input1, input2; /* Temporary variables */ + q31_t inA1, inA2, inB1, inB2; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + +#if defined (ARM_MATH_DSP) + /* read 4 samples at a time from sourceA */ + input1 = read_q7x4_ia ((q7_t **) &pSrcA); + /* read 4 samples at a time from sourceB */ + input2 = read_q7x4_ia ((q7_t **) &pSrcB); + + /* extract two q7_t samples to q15_t samples */ + inA1 = __SXTB16(__ROR(input1, 8)); + /* extract reminaing two samples */ + inA2 = __SXTB16(input1); + /* extract two q7_t samples to q15_t samples */ + inB1 = __SXTB16(__ROR(input2, 8)); + /* extract reminaing two samples */ + inB2 = __SXTB16(input2); + + /* multiply and accumulate two samples at a time */ + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); +#else + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ +//#if defined (ARM_MATH_DSP) +// sum = __SMLAD(*pSrcA++, *pSrcB++, sum); +//#else + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); +//#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 18.14 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c new file mode 100644 index 0000000..687de7a --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c @@ -0,0 +1,200 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_f32.c + * Description: Floating-point vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicMult Vector Multiplication + + Element-by-element multiplication of two vectors. + +
+ pDst[n] = pSrcA[n] * pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Floating-point vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vmulq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vmulq(vec1,vec2), p0); + } + +} + +#else +void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply the inputs and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vmulq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicMult group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c new file mode 100644 index 0000000..8e9dc79 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q15.c + * Description: Q15 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q15 vector multiplication + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2, inB1, inB2; /* Temporary input variables */ + q15_t out1, out2, out3, out4; /* Temporary output variables */ + q31_t mul1, mul2, mul3, mul4; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* read 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + /* read 2 samples at a time from sourceA */ + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 samples at a time from sourceB */ + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* multiply mul = sourceA * sourceB */ + mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul2 = (q31_t) ((q15_t) (inA1 ) * (q15_t) (inB1 )); + mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 ) * (q15_t) (inB2 )); + + /* saturate result to 16 bit */ + out1 = (q15_t) __SSAT(mul1 >> 15, 16); + out2 = (q15_t) __SSAT(mul2 >> 15, 16); + out3 = (q15_t) __SSAT(mul3 >> 15, 16); + out4 = (q15_t) __SSAT(mul4 >> 15, 16); + + /* store result to destination */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(out2, out1, 16)); + write_q15x2_ia (&pDst, __PKHBT(out4, out3, 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(out1, out2, 16)); + write_q15x2_ia (&pDst, __PKHBT(out3, out4, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c new file mode 100644 index 0000000..606c000 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q31.c + * Description: Q31 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q31 vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t out; /* Temporary output variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c new file mode 100644 index 0000000..06f56d3 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q7.c + * Description: Q7 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q7 vector multiplication + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q7_t out1, out2, out3, out4; /* Temporary output variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* Multiply inputs and store results in temporary variables */ + out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Pack and store result in destination buffer (in single write) */ + write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4)); +#else + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c new file mode 100644 index 0000000..4eae2a2 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_f32.c + * Description: Negates floating-point vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicNegate Vector Negate + + Negates the elements of a vector. + +
+ pDst[n] = -pSrc[n], 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a floating-point vector. + @param[in] pSrc points to input vector. + @param[out] pDst points to output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f32x4_t vec1; + f32x4_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vnegq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vnegq(vec1), p0); + } + +} + +#else +void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vnegq_f32(vec1); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicNegate group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c new file mode 100644 index 0000000..ea0b008 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q15.c + * Description: Negates Q15 vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q15 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Conditions for optimum performance + Input and output buffers should be aligned by 32-bit + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t in1; /* Temporary input variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + +#if defined (ARM_MATH_DSP) + /* Negate and store result in destination buffer (2 samples at a time). */ + in1 = read_q15x2_ia ((q15_t **) &pSrc); + write_q15x2_ia (&pDst, __QSUB16(0, in1)); + + in1 = read_q15x2_ia ((q15_t **) &pSrc); + write_q15x2_ia (&pDst, __QSUB16(0, in1)); +#else + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c new file mode 100644 index 0000000..f962fe4 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q31.c + * Description: Negates Q31 vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q31 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c new file mode 100644 index 0000000..03ace0e --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q7.c + * Description: Negates Q7 vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q7 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q7 value -1 (0x80) is saturated to the maximum allowable positive value 0x7F. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q7_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t in1; /* Temporary input variable */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + +#if defined (ARM_MATH_DSP) + /* Negate and store result in destination buffer (4 samples at a time). */ + in1 = read_q7x4_ia ((q7_t **) &pSrc); + write_q7x4_ia (&pDst, __QSUB8(0, in1)); +#else + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; + +#if defined (ARM_MATH_DSP) + *pDst++ = (q7_t) __QSUB8(0, in); +#else + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u16.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u16.c new file mode 100644 index 0000000..e1ce1b7 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u16.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u16.c + * Description: uint16_t bitwise NOT + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Not Vector bitwise NOT + + Compute the logical bitwise NOT. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u16( + const uint16_t * pSrc, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u16(vecSrc) ); + + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vmvnq_u16(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t inV; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + inV = vld1q_u16(pSrc); + + vst1q_u16(pDst, vmvnq_u16(inV) ); + + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u32.c new file mode 100644 index 0000000..eed0408 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u32.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u32.c + * Description: uint32_t bitwise NOT + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u32( + const uint32_t * pSrc, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u32(vecSrc) ); + + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vmvnq_u32(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t inV; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + inV = vld1q_u32(pSrc); + + vst1q_u32(pDst, vmvnq_u32(inV) ); + + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u8.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u8.c new file mode 100644 index 0000000..83e0de5 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u8.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u8.c + * Description: uint8_t bitwise NOT + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u8( + const uint8_t * pSrc, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u8(vecSrc) ); + + pSrc += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vmvnq_u8(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t inV; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + inV = vld1q_u8(pSrc); + + vst1q_u8(pDst, vmvnq_u8(inV) ); + + pSrc += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c new file mode 100644 index 0000000..3bed806 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_f32.c + * Description: Floating-point vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicOffset Vector Offset + + Adds a constant offset to each element of a vector. + +
+ pDst[n] = pSrc[n] + offset, 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vaddq(vec1,offset); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vaddq(vec1, offset), p0); + } + + +} + +#else +void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vaddq_f32(vec1,vdupq_n_f32(offset)); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicOffset group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c new file mode 100644 index 0000000..81f820b --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q15.c + * Description: Q15 vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + + +#else +void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t offset_packed; /* Offset packed to 32 bit */ + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PKHBT(offset, offset, 16); +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + +#if defined (ARM_MATH_DSP) + /* Add offset and store result in destination buffer (2 samples at a time). */ + write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia ((q15_t **) &pSrc), offset_packed)); + write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia ((q15_t **) &pSrc), offset_packed)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QADD16(*pSrc++, offset); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c new file mode 100644 index 0000000..bdc8cf3 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c @@ -0,0 +1,175 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q31.c + * Description: Q31 vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + +#else +void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c new file mode 100644 index 0000000..a9de6cc --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q7.c + * Description: Q7 vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + +#else +void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t offset_packed; /* Offset packed to 32 bit */ + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PACKq7(offset, offset, offset, offset); +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + +#if defined (ARM_MATH_DSP) + /* Add offset and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QADD8(read_q7x4_ia ((q7_t **) &pSrc), offset_packed)); +#else + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u16.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u16.c new file mode 100644 index 0000000..8f2abbc --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u16.c + * Description: uint16_t bitwise inclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Or Vector bitwise inclusive OR + + Compute the logical bitwise OR. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, vorrq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, vorrq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Or group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u32.c new file mode 100644 index 0000000..66b97c0 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u32.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u32.c + * Description: uint32_t bitwise inclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, vorrq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, vorrq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} +/** + @} end of Or group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u8.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u8.c new file mode 100644 index 0000000..32ef686 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u8.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u8.c + * Description: uint8_t bitwise inclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, vorrq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, vorrq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} +/** + @} end of Or group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c new file mode 100644 index 0000000..053492f --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c @@ -0,0 +1,216 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_f32.c + * Description: Multiplies a floating-point vector by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicScale Vector Scale + + Multiply a vector by a scalar value. For floating-point data, the algorithm used is: + +
+ pDst[n] = pSrc[n] * scale, 0 <= n < blockSize. ++ + In the fixed-point Q7, Q15, and Q31 functions,
scale is represented by
+ a fractional multiplication scaleFract and an arithmetic shift shift.
+ The shift allows the gain of the scaling operation to exceed 1.0.
+ The algorithm used with fixed-point data is:
+
+ + pDst[n] = (pSrc[n] * scaleFract) << shift, 0 <= n < blockSize. ++ + The overall scale factor applied to the fixed-point data is +
+ scale = scaleFract * 2^shift. ++ + The functions support in-place computation allowing the source and destination + pointers to reference the same memory buffer. + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a floating-point vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scale scale factor to be applied + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_scale_f32( + const float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vmulq(vec1,scale); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vmulq(vec1, scale), p0); + } + + +} + +#else +void arm_scale_f32( + const float32_t *pSrc, + float32_t scale, + float32_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ +#if defined(ARM_MATH_NEON_EXPERIMENTAL) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale the input and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vmulq_f32(vec1, vdupq_n_f32(scale)); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + float32_t in1, in2, in3, in4; + + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in1 = (*pSrc++) * scale; + + in2 = (*pSrc++) * scale; + + in3 = (*pSrc++) * scale; + + in4 = (*pSrc++) * scale; + + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (*pSrc++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicScale group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c new file mode 100644 index 0000000..159c7db --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c @@ -0,0 +1,201 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q15.c + * Description: Multiplies a Q15 vector by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a Q15 vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scaleFract fractional portion of the scale value + @param[in] shift number of bits to shift the result by + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The input data
*pSrc and scaleFract are in 1.15 format.
+ These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_scale_q15(
+ const q15_t * pSrc,
+ q15_t scaleFract,
+ int8_t shift,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q15x8_t vecSrc;
+ q15x8_t vecDst;
+
+
+ /* Compute 8 outputs at a time */
+ blkCnt = blockSize >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A * scale
+ * Scale the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s16(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);;
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s16(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vstrhq_p(pDst, vecDst, p0);
+ }
+
+}
+
+
+#else
+void arm_scale_q15(
+ const q15_t *pSrc,
+ q15_t scaleFract,
+ int8_t shift,
+ q15_t *pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ int8_t kShift = 15 - shift; /* Shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+#if defined (ARM_MATH_DSP)
+ q31_t inA1, inA2;
+ q31_t out1, out2, out3, out4; /* Temporary output variables */
+ q15_t in1, in2, in3, in4; /* Temporary input variables */
+#endif
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 times 2 samples at a time from source */
+ inA1 = read_q15x2_ia ((q15_t **) &pSrc);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrc);
+
+ /* Scale inputs and store result in temporary variables
+ * in single cycle by packing the outputs */
+ out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+ out2 = (q31_t) ((q15_t) (inA1 ) * scaleFract);
+ out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+ out4 = (q31_t) ((q15_t) (inA2 ) * scaleFract);
+
+ /* apply shifting */
+ out1 = out1 >> kShift;
+ out2 = out2 >> kShift;
+ out3 = out3 >> kShift;
+ out4 = out4 >> kShift;
+
+ /* saturate the output */
+ in1 = (q15_t) (__SSAT(out1, 16));
+ in2 = (q15_t) (__SSAT(out2, 16));
+ in3 = (q15_t) (__SSAT(out3, 16));
+ in4 = (q15_t) (__SSAT(out4, 16));
+
+ /* store result to destination */
+ write_q15x2_ia (&pDst, __PKHBT(in2, in1, 16));
+ write_q15x2_ia (&pDst, __PKHBT(in4, in3, 16));
+#else
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicScale group
+ */
diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c
new file mode 100644
index 0000000..e4639bb
--- /dev/null
+++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c
@@ -0,0 +1,244 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_scale_q31.c
+ * Description: Multiplies a Q31 vector by a scalar
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicScale
+ @{
+ */
+
+/**
+ @brief Multiplies a Q31 vector by a scalar.
+ @param[in] pSrc points to the input vector
+ @param[in] scaleFract fractional portion of the scale value
+ @param[in] shift number of bits to shift the result by
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The input data *pSrc and scaleFract are in 1.31 format.
+ These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_scale_q31(
+ const q31_t * pSrc,
+ q31_t scaleFract,
+ int8_t shift,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q31x4_t vecSrc;
+ q31x4_t vecDst;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A * scale
+ * Scale the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s32(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s32(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vstrwq_p(pDst, vecDst, p0);
+ }
+}
+
+#else
+void arm_scale_q31(
+ const q31_t *pSrc,
+ q31_t scaleFract,
+ int8_t shift,
+ q31_t *pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in, out; /* Temporary variables */
+ int8_t kShift = shift + 1; /* Shift to apply after scaling */
+ int8_t sign = (kShift & 0x80);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++; /* read input from source */
+ in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */
+ out = in << kShift; /* apply shifting */
+ if (in != (out >> kShift)) /* saturate the result */
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out; /* Store result destination */
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++; /* read four inputs from source */
+ in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */
+ out = in >> -kShift; /* apply shifting */
+ *pDst++ = out; /* Store result destination */
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicScale group
+ */
diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c
new file mode 100644
index 0000000..d123537
--- /dev/null
+++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c
@@ -0,0 +1,186 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_scale_q7.c
+ * Description: Multiplies a Q7 vector by a scalar
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicScale
+ @{
+ */
+
+/**
+ @brief Multiplies a Q7 vector by a scalar.
+ @param[in] pSrc points to the input vector
+ @param[in] scaleFract fractional portion of the scale value
+ @param[in] shift number of bits to shift the result by
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The input data *pSrc and scaleFract are in 1.7 format.
+ These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+
+void arm_scale_q7(
+ const q7_t * pSrc,
+ q7_t scaleFract,
+ int8_t shift,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q7x16_t vecSrc;
+ q7x16_t vecDst;
+
+
+ /* Compute 16 outputs at a time */
+ blkCnt = blockSize >> 4;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A * scale
+ * Scale the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s8(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s8(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vstrbq_p(pDst, vecDst, p0);
+ }
+
+}
+
+#else
+void arm_scale_q7(
+ const q7_t * pSrc,
+ q7_t scaleFract,
+ int8_t shift,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ int8_t kShift = 7 - shift; /* Shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q7_t in1, in2, in3, in4; /* Temporary input variables */
+ q7_t out1, out2, out3, out4; /* Temporary output variables */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+#if defined (ARM_MATH_DSP)
+ /* Reading 4 inputs from memory */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+ in3 = *pSrc++;
+ in4 = *pSrc++;
+
+ /* Scale inputs and store result in the temporary variable. */
+ out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8));
+ out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8));
+ out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8));
+ out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8));
+
+ /* Pack and store result in destination buffer (in single write) */
+ write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4));
+#else
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicScale group
+ */
diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c
new file mode 100644
index 0000000..0de2eb4
--- /dev/null
+++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c
@@ -0,0 +1,251 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_shift_q15.c
+ * Description: Shifts the elements of a Q15 vector by a specified number of bits
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicShift
+ @{
+ */
+
+/**
+ @brief Shifts the elements of a Q15 vector a specified number of bits
+ @param[in] pSrc points to the input vector
+ @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_shift_q15(
+ const q15_t * pSrc,
+ int8_t shiftBits,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q15x8_t vecSrc;
+ q15x8_t vecDst;
+
+ /* Compute 8 outputs at a time */
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A (>> or <<) shiftBits
+ * Shift the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vstrhq_p(pDst, vecDst, p0);
+ }
+}
+
+#else
+void arm_shift_q15(
+ const q15_t * pSrc,
+ int8_t shiftBits,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q15_t in1, in2; /* Temporary input variables */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+ /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((in1 << shiftBits), 16),
+ __SSAT((in2 << shiftBits), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((in2 << shiftBits), 16),
+ __SSAT((in1 << shiftBits), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((in1 << shiftBits), 16),
+ __SSAT((in2 << shiftBits), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((in2 << shiftBits), 16),
+ __SSAT((in1 << shiftBits), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+ /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits),
+ (in2 >> -shiftBits), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits),
+ (in1 >> -shiftBits), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits),
+ (in2 >> -shiftBits), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits),
+ (in1 >> -shiftBits), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicShift group
+ */
diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c
new file mode 100644
index 0000000..c8cd660
--- /dev/null
+++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c
@@ -0,0 +1,232 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_shift_q31.c
+ * Description: Shifts the elements of a Q31 vector by a specified number of bits
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMath
+ */
+/**
+ @defgroup BasicShift Vector Shift
+
+ Shifts the elements of a fixed-point vector by a specified number of bits.
+ There are separate functions for Q7, Q15, and Q31 data types.
+ The underlying algorithm used is:
+
+ + pDst[n] = pSrc[n] << shift, 0 <= n < blockSize. ++ + If
shift is positive then the elements of the vector are shifted to the left.
+ If shift is negative then the elements of the vector are shifted to the right.
+
+ The functions support in-place computation allowing the source and destination
+ pointers to reference the same memory buffer.
+ */
+
+/**
+ @addtogroup BasicShift
+ @{
+ */
+
+/**
+ @brief Shifts the elements of a Q31 vector a specified number of bits.
+ @param[in] pSrc points to the input vector
+ @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in the vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_shift_q31(
+ const q31_t * pSrc,
+ int8_t shiftBits,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q31x4_t vecSrc;
+ q31x4_t vecDst;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A (>> or <<) shiftBits
+ * Shift the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q((q31_t const *) pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecSrc = vld1q((q31_t const *) pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vstrwq_p(pDst, vecDst, p0);
+ }
+}
+
+
+#else
+void arm_shift_q31(
+ const q31_t * pSrc,
+ int8_t shiftBits,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ q31_t in, out; /* Temporary variables */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store results in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = clip_q63_to_q31((q63_t) *pSrc++ << shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicShift group
+ */
diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c
new file mode 100644
index 0000000..ecfe198
--- /dev/null
+++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c
@@ -0,0 +1,225 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_shift_q7.c
+ * Description: Processing function for the Q7 Shifting
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicShift
+ @{
+ */
+
+/**
+ @brief Shifts the elements of a Q7 vector a specified number of bits
+ @param[in] pSrc points to the input vector
+ @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par onditions for optimum performance
+ Input and output buffers should be aligned by 32-bit
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q7 range [0x80 0x7F] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_shift_q7(
+ const q7_t * pSrc,
+ int8_t shiftBits,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q7x16_t vecSrc;
+ q7x16_t vecDst;
+
+ /* Compute 16 outputs at a time */
+ blkCnt = blockSize >> 4;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A (>> or <<) shiftBits
+ * Shift the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vstrbq_p(pDst, vecDst, p0);
+ }
+}
+
+#else
+void arm_shift_q7(
+ const q7_t * pSrc,
+ int8_t shiftBits,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q7_t in1, in2, in3, in4; /* Temporary input variables */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* Read 4 inputs */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+ in3 = *pSrc++;
+ in4 = *pSrc++;
+
+ /* Pack and store result in destination buffer (in single write) */
+ write_q7x4_ia (&pDst, __PACKq7(__SSAT((in1 << shiftBits), 8),
+ __SSAT((in2 << shiftBits), 8),
+ __SSAT((in3 << shiftBits), 8),
+ __SSAT((in4 << shiftBits), 8) ));
+#else
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* Read 4 inputs */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+ in3 = *pSrc++;
+ in4 = *pSrc++;
+
+ /* Pack and store result in destination buffer (in single write) */
+ write_q7x4_ia (&pDst, __PACKq7((in1 >> -shiftBits),
+ (in2 >> -shiftBits),
+ (in3 >> -shiftBits),
+ (in4 >> -shiftBits) ));
+#else
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicShift group
+ */
diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c
new file mode 100644
index 0000000..9f4865d
--- /dev/null
+++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c
@@ -0,0 +1,202 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sub_f32.c
+ * Description: Floating-point vector subtraction
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @defgroup BasicSub Vector Subtraction
+
+ Element-by-element subtraction of two vectors.
+
+ + pDst[n] = pSrcA[n] - pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Floating-point vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vsubq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vsubq(vec1,vec2), p0); + } + +} + +#else +void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vsubq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicSub group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c new file mode 100644 index 0000000..b4b267b --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q15.c + * Description: Q15 vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q15 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A - B + * Subtract and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqsubq(vecA, vecB), p0); + } +} + + +#else +void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t inB1, inB2; +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 times 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* Subtract and store 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, __QSUB16(inA1, inB1)); + write_q15x2_ia (&pDst, __QSUB16(inA2, inB2)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c new file mode 100644 index 0000000..b4905df --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q31.c + * Description: Q31 vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q31 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecA; + q31x4_t vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqsubq(vecA, vecB), p0); + } +} + +#else +void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c new file mode 100644 index 0000000..e34e74e --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q7.c + * Description: Q7 vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q7 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A - B + * Subtract and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqsubq(vecA, vecB), p0); + } +} +#else +void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + +#if defined (ARM_MATH_DSP) + /* Subtract and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QSUB8(read_q7x4_ia ((q7_t **) &pSrcA), read_q7x4_ia ((q7_t **) &pSrcB))); +#else + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u16.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u16.c new file mode 100644 index 0000000..0296037 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u16.c + * Description: uint16_t bitwise exclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Xor Vector bitwise exclusive OR + + Compute the logical bitwise XOR. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, veorq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, veorq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u32.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u32.c new file mode 100644 index 0000000..526a1a0 --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u32.c + * Description: uint32_t bitwise exclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, veorq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, veorq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u8.c b/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u8.c new file mode 100644 index 0000000..769e27c --- /dev/null +++ b/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u8.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u8.c + * Description: uint8_t bitwise exclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, veorq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, veorq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c b/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c new file mode 100644 index 0000000..4a553dc --- /dev/null +++ b/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c @@ -0,0 +1,29 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BayesFunctions.c + * Description: Combination of all bayes function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_gaussian_naive_bayes_predict_f32.c" diff --git a/CMSIS/DSP/Source/BayesFunctions/CMakeLists.txt b/CMSIS/DSP/Source/BayesFunctions/CMakeLists.txt new file mode 100755 index 0000000..5f5ee4a --- /dev/null +++ b/CMSIS/DSP/Source/BayesFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPBayes) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPBayes STATIC ${SRC}) + +configLib(CMSISDSPBayes ${ROOT}) +configDsp(CMSISDSPBayes ${ROOT}) + +### Includes +target_include_directories(CMSISDSPBayes PUBLIC "${DSP}/Include") + + + diff --git a/CMSIS/DSP/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f32.c b/CMSIS/DSP/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f32.c new file mode 100755 index 0000000..27bd793 --- /dev/null +++ b/CMSIS/DSP/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f32.c @@ -0,0 +1,397 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_naive_gaussian_bayes_predict_f32 + * Description: Naive Gaussian Bayesian Estimator + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include
for (l = 1; l <= N/4; l++)
+ {
+ for (i = 0; i< logN2; i++)
+ {
+ a[i] = l & (1 << i);
+ }
+ for (j = 0; j < logN2; j++)
+ {
+ if (a[j] != 0)
+ y[l] += (1 << ((logN2 - 1) - j));
+ }
+ y[l] = y[l] >> 1;
+ }
+ @par
+ where N = 4096, logN2 = 12
+ @par
+ N is the maximum FFT Size supported
+*/
+
+/**
+ @brief Table for bit reversal process
+*/
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
+const uint16_t armBitRevTable[1024] = {
+ 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x080, 0x480, 0x280,
+ 0x680, 0x180, 0x580, 0x380, 0x780, 0x040, 0x440, 0x240, 0x640, 0x140,
+ 0x540, 0x340, 0x740, 0x0c0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0,
+ 0x7c0, 0x020, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0x0a0,
+ 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x060, 0x460, 0x260,
+ 0x660, 0x160, 0x560, 0x360, 0x760, 0x0e0, 0x4e0, 0x2e0, 0x6e0, 0x1e0,
+ 0x5e0, 0x3e0, 0x7e0, 0x010, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
+ 0x710, 0x090, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x050,
+ 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0x0d0, 0x4d0, 0x2d0,
+ 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x030, 0x430, 0x230, 0x630, 0x130,
+ 0x530, 0x330, 0x730, 0x0b0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0,
+ 0x7b0, 0x070, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0x0f0,
+ 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x008, 0x408, 0x208,
+ 0x608, 0x108, 0x508, 0x308, 0x708, 0x088, 0x488, 0x288, 0x688, 0x188,
+ 0x588, 0x388, 0x788, 0x048, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348,
+ 0x748, 0x0c8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x028,
+ 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0x0a8, 0x4a8, 0x2a8,
+ 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x068, 0x468, 0x268, 0x668, 0x168,
+ 0x568, 0x368, 0x768, 0x0e8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8,
+ 0x7e8, 0x018, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x098,
+ 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x058, 0x458, 0x258,
+ 0x658, 0x158, 0x558, 0x358, 0x758, 0x0d8, 0x4d8, 0x2d8, 0x6d8, 0x1d8,
+ 0x5d8, 0x3d8, 0x7d8, 0x038, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338,
+ 0x738, 0x0b8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x078,
+ 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0x0f8, 0x4f8, 0x2f8,
+ 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x004, 0x404, 0x204, 0x604, 0x104,
+ 0x504, 0x304, 0x704, 0x084, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384,
+ 0x784, 0x044, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0x0c4,
+ 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x024, 0x424, 0x224,
+ 0x624, 0x124, 0x524, 0x324, 0x724, 0x0a4, 0x4a4, 0x2a4, 0x6a4, 0x1a4,
+ 0x5a4, 0x3a4, 0x7a4, 0x064, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364,
+ 0x764, 0x0e4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x014,
+ 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x094, 0x494, 0x294,
+ 0x694, 0x194, 0x594, 0x394, 0x794, 0x054, 0x454, 0x254, 0x654, 0x154,
+ 0x554, 0x354, 0x754, 0x0d4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
+ 0x7d4, 0x034, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0x0b4,
+ 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x074, 0x474, 0x274,
+ 0x674, 0x174, 0x574, 0x374, 0x774, 0x0f4, 0x4f4, 0x2f4, 0x6f4, 0x1f4,
+ 0x5f4, 0x3f4, 0x7f4, 0x00c, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c,
+ 0x70c, 0x08c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x04c,
+ 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0x0cc, 0x4cc, 0x2cc,
+ 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x02c, 0x42c, 0x22c, 0x62c, 0x12c,
+ 0x52c, 0x32c, 0x72c, 0x0ac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac,
+ 0x7ac, 0x06c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0x0ec,
+ 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x01c, 0x41c, 0x21c,
+ 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x09c, 0x49c, 0x29c, 0x69c, 0x19c,
+ 0x59c, 0x39c, 0x79c, 0x05c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c,
+ 0x75c, 0x0dc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x03c,
+ 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0x0bc, 0x4bc, 0x2bc,
+ 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x07c, 0x47c, 0x27c, 0x67c, 0x17c,
+ 0x57c, 0x37c, 0x77c, 0x0fc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc,
+ 0x7fc, 0x002, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x082,
+ 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x042, 0x442, 0x242,
+ 0x642, 0x142, 0x542, 0x342, 0x742, 0x0c2, 0x4c2, 0x2c2, 0x6c2, 0x1c2,
+ 0x5c2, 0x3c2, 0x7c2, 0x022, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322,
+ 0x722, 0x0a2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x062,
+ 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0x0e2, 0x4e2, 0x2e2,
+ 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x012, 0x412, 0x212, 0x612, 0x112,
+ 0x512, 0x312, 0x712, 0x092, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392,
+ 0x792, 0x052, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0x0d2,
+ 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x032, 0x432, 0x232,
+ 0x632, 0x132, 0x532, 0x332, 0x732, 0x0b2, 0x4b2, 0x2b2, 0x6b2, 0x1b2,
+ 0x5b2, 0x3b2, 0x7b2, 0x072, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
+ 0x772, 0x0f2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0x00a,
+ 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x08a, 0x48a, 0x28a,
+ 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x04a, 0x44a, 0x24a, 0x64a, 0x14a,
+ 0x54a, 0x34a, 0x74a, 0x0ca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca,
+ 0x7ca, 0x02a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0x0aa,
+ 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x06a, 0x46a, 0x26a,
+ 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0x0ea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
+ 0x5ea, 0x3ea, 0x7ea, 0x01a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a,
+ 0x71a, 0x09a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a,
+ 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0x0da, 0x4da, 0x2da,
+ 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x03a, 0x43a, 0x23a, 0x63a, 0x13a,
+ 0x53a, 0x33a, 0x73a, 0x0ba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba,
+ 0x7ba, 0x07a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0x0fa,
+ 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x006, 0x406, 0x206,
+ 0x606, 0x106, 0x506, 0x306, 0x706, 0x086, 0x486, 0x286, 0x686, 0x186,
+ 0x586, 0x386, 0x786, 0x046, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346,
+ 0x746, 0x0c6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x026,
+ 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0x0a6, 0x4a6, 0x2a6,
+ 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x066, 0x466, 0x266, 0x666, 0x166,
+ 0x566, 0x366, 0x766, 0x0e6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6,
+ 0x7e6, 0x016, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x096,
+ 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x056, 0x456, 0x256,
+ 0x656, 0x156, 0x556, 0x356, 0x756, 0x0d6, 0x4d6, 0x2d6, 0x6d6, 0x1d6,
+ 0x5d6, 0x3d6, 0x7d6, 0x036, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336,
+ 0x736, 0x0b6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x076,
+ 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0x0f6, 0x4f6, 0x2f6,
+ 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0x00e, 0x40e, 0x20e, 0x60e, 0x10e,
+ 0x50e, 0x30e, 0x70e, 0x08e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
+ 0x78e, 0x04e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0x0ce,
+ 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x02e, 0x42e, 0x22e,
+ 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0x0ae, 0x4ae, 0x2ae, 0x6ae, 0x1ae,
+ 0x5ae, 0x3ae, 0x7ae, 0x06e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e,
+ 0x76e, 0x0ee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x01e,
+ 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x09e, 0x49e, 0x29e,
+ 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x05e, 0x45e, 0x25e, 0x65e, 0x15e,
+ 0x55e, 0x35e, 0x75e, 0x0de, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de,
+ 0x7de, 0x03e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0x0be,
+ 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x07e, 0x47e, 0x27e,
+ 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0x0fe, 0x4fe, 0x2fe, 0x6fe, 0x1fe,
+ 0x5fe, 0x3fe, 0x7fe, 0x001
+};
+#endif
+
+/**
+ @brief Double Precision Floating-point Twiddle factors Table Generation
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(double)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(double)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_16[32] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32)
+
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_32[64] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, //-0.19509, 0.98079'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388'
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, //-0.55557, 0.83147'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711'
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, //-0.83147, 0.55557'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268'
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, //-0.98079, 0.19509'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, //-0.98079,-0.19509'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268'
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, //-0.83147,-0.55557'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711'
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, //-0.55557,-0.83147'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388'
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, //-0.19509,-0.98079'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509,-0.98079'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388'
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557,-0.83147'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711'
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147,-0.55557'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268'
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079,-0.19509'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_64[128] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017'
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509'
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714'
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557'
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301'
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147'
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694'
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079'
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518'
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079'
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388'
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192'
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147'
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711'
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439'
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557'
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268'
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028'
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509'
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017'
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509'
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268'
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714'
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557'
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711'
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301'
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147'
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388'
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694'
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079'
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518'
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079'
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388'
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192'
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147'
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711'
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439'
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557'
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268'
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028'
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509'
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017'
+ };
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_128[256] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068'
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017'
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673'
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509'
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298'
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028'
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756'
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714'
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141'
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557'
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957'
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439'
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095'
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301'
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321'
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147'
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773'
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192'
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154'
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694'
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003'
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079'
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918'
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518'
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988'
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518'
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918'
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079'
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003'
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694'
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388'
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399'
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192'
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773'
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147'
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321'
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301'
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711'
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156'
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439'
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957'
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557'
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141'
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714'
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268'
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689'
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028'
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298'
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509'
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673'
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017'
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068'
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017'
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673'
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509'
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298'
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028'
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268'
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756'
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714'
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141'
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557'
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957'
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439'
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711'
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095'
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301'
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321'
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147'
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773'
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192'
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388'
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154'
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694'
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003'
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079'
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918'
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518'
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988'
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518'
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918'
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079'
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003'
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694'
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388'
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399'
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192'
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773'
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147'
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321'
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301'
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711'
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156'
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439'
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957'
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557'
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141'
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714'
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268'
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689'
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028'
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298'
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509'
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673'
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017'
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_256[512] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_512[1024] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, //-0.012272, 0.99992
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, //-0.036807, 0.99932
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, //-0.061321, 0.99812
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //-0.085797, 0.99631
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992,-0.012272
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932,-0.036807
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812,-0.061321
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631,-0.085797
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //-0.085797, -0.99631
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, //-0.061321, -0.99812
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, //-0.036807, -0.99932
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, //-0.012272, -0.99992
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_1024[2048] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992
+ 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997
+ 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932
+ 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988
+ 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812
+ 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729
+ 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631
+ 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518
+ 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272
+ 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541
+ 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807
+ 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068
+ 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321
+ 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565
+ 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797
+ 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017
+ 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518
+ 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631
+ 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729
+ 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812
+ 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988
+ 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932
+ 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997
+ 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992
+ 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017
+ 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797
+ 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565
+ 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321
+ 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068
+ 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807
+ 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541
+ 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272
+ 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_2048[4096] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068
+ 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359
+ 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339
+ 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407
+ 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608
+ 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675
+ 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873
+ 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938
+ 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132
+ 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195
+ 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383
+ 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444
+ 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624
+ 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682
+ 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854
+ 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909
+ 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107
+ 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412
+ 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327
+ 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632
+ 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545
+ 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285
+ 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762
+ 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066
+ 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976
+ 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528
+ 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189
+ 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491
+ 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398
+ 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177
+ 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606
+ 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907
+ 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981
+ 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011
+ 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011
+ 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311
+ 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209
+ 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508
+ 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404
+ 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702
+ 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596
+ 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893
+ 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783
+ 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079
+ 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967
+ 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262
+ 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146
+ 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441
+ 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322
+ 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615
+ 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493
+ 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785
+ 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659
+ 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195
+ 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821
+ 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111
+ 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978
+ 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266
+ 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129
+ 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416
+ 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276
+ 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561
+ 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416
+ 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701
+ 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552
+ 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835
+ 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681
+ 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962
+ 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804
+ 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084
+ 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922
+ 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422
+ 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033
+ 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309
+ 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137
+ 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412
+ 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235
+ 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508
+ 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326
+ 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598
+ 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741
+ 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768
+ 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487
+ 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755
+ 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557
+ 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823
+ 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619
+ 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883
+ 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673
+ 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936
+ 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272
+ 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298
+ 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759
+ 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017
+ 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789
+ 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046
+ 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812
+ 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066
+ 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826
+ 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078
+ 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831
+ 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081
+ 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828
+ 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076
+ 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816
+ 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062
+ 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795
+ 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038
+ 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765
+ 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006
+ 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725
+ 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964
+ 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676
+ 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912
+ 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618
+ 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851
+ 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549
+ 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781
+ 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471
+ 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667
+ 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383
+ 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609
+ 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285
+ 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508
+ 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176
+ 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397
+ 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057
+ 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275
+ 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927
+ 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143
+ 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787
+ 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72
+ 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636
+ 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846
+ 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474
+ 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682
+ 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301
+ 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506
+ 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117
+ 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319
+ 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921
+ 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612
+ 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714
+ 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691
+ 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495
+ 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689
+ 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265
+ 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456
+ 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023
+ 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211
+ 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769
+ 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954
+ 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503
+ 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685
+ 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225
+ 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404
+ 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935
+ 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211
+ 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632
+ 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805
+ 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317
+ 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486
+ 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989
+ 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155
+ 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649
+ 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812
+ 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296
+ 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456
+ 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593
+ 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087
+ 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551
+ 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705
+ 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716
+ 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309
+ 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755
+ 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901
+ 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336
+ 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848
+ 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905
+ 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045
+ 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946
+ 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597
+ 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002
+ 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135
+ 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053
+ 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066
+ 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044
+ 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171
+ 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545
+ 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668
+ 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032
+ 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151
+ 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505
+ 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621
+ 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964
+ 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077
+ 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409
+ 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518
+ 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384
+ 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946
+ 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257
+ 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359
+ 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466
+ 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759
+ 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049
+ 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144
+ 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423
+ 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514
+ 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783
+ 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587
+ 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128
+ 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212
+ 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459
+ 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539
+ 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775
+ 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852
+ 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077
+ 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715
+ 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364
+ 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434
+ 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637
+ 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703
+ 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895
+ 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957
+ 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138
+ 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196
+ 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366
+ 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421
+ 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858
+ 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631
+ 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778
+ 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826
+ 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962
+ 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006
+ 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131
+ 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171
+ 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285
+ 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321
+ 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424
+ 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456
+ 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548
+ 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577
+ 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657
+ 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682
+ 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751
+ 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772
+ 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983
+ 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848
+ 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894
+ 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908
+ 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943
+ 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953
+ 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977
+ 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983
+ 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996
+ 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998
+ 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1
+ 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998
+ 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992
+ 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988
+ 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983
+ 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997
+ 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962
+ 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953
+ 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932
+ 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992
+ 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908
+ 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988
+ 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864
+ 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848
+ 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812
+ 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793
+ 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772
+ 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729
+ 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706
+ 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682
+ 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631
+ 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604
+ 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577
+ 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518
+ 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488
+ 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456
+ 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356
+ 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321
+ 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921
+ 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171
+ 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049
+ 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006
+ 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872
+ 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826
+ 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681
+ 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631
+ 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475
+ 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421
+ 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254
+ 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196
+ 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018
+ 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957
+ 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768
+ 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703
+ 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503
+ 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434
+ 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223
+ 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715
+ 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928
+ 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852
+ 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619
+ 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539
+ 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295
+ 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212
+ 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957
+ 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587
+ 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605
+ 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514
+ 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238
+ 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144
+ 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856
+ 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759
+ 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446
+ 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359
+ 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051
+ 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946
+ 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627
+ 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518
+ 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188
+ 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077
+ 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736
+ 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621
+ 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227
+ 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151
+ 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179
+ 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668
+ 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296
+ 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171
+ 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789
+ 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066
+ 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267
+ 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135
+ 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732
+ 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597
+ 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184
+ 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045
+ 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622
+ 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848
+ 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047
+ 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901
+ 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459
+ 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309
+ 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857
+ 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705
+ 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242
+ 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087
+ 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615
+ 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456
+ 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974
+ 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812
+ 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321
+ 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155
+ 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655
+ 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486
+ 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976
+ 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805
+ 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285
+ 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211
+ 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581
+ 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404
+ 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866
+ 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685
+ 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138
+ 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954
+ 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398
+ 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211
+ 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646
+ 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456
+ 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882
+ 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689
+ 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106
+ 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691
+ 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319
+ 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612
+ 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552
+ 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319
+ 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471
+ 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506
+ 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889
+ 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682
+ 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056
+ 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846
+ 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213
+ 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72
+ 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358
+ 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143
+ 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493
+ 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275
+ 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618
+ 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397
+ 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732
+ 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508
+ 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835
+ 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609
+ 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928
+ 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667
+ 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011
+ 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781
+ 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085
+ 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851
+ 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148
+ 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912
+ 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202
+ 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964
+ 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246
+ 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006
+ 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281
+ 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038
+ 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307
+ 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062
+ 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323
+ 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076
+ 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331
+ 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081
+ 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733
+ 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078
+ 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632
+ 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066
+ 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302
+ 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046
+ 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275
+ 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017
+ 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324
+ 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298
+ 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198
+ 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936
+ 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147
+ 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883
+ 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089
+ 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823
+ 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023
+ 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755
+ 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949
+ 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768
+ 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869
+ 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598
+ 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781
+ 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508
+ 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687
+ 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412
+ 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586
+ 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309
+ 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478
+ 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422
+ 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364
+ 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084
+ 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243
+ 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962
+ 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117
+ 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835
+ 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985
+ 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701
+ 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847
+ 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561
+ 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703
+ 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416
+ 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554
+ 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266
+ 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334
+ 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111
+ 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241
+ 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195
+ 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077
+ 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785
+ 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908
+ 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615
+ 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735
+ 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441
+ 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557
+ 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262
+ 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375
+ 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079
+ 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519
+ 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893
+ 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24
+ 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702
+ 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807
+ 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508
+ 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611
+ 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311
+ 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411
+ 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011
+ 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208
+ 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907
+ 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002
+ 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177
+ 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794
+ 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491
+ 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583
+ 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528
+ 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437
+ 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066
+ 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154
+ 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285
+ 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937
+ 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632
+ 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717
+ 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412
+ 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963
+ 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909
+ 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274
+ 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682
+ 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505
+ 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444
+ 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258
+ 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195
+ 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003
+ 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938
+ 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741
+ 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675
+ 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474
+ 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407
+ 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038
+ 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359
+ 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068
+ 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359
+ 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272
+ 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339
+ 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407
+ 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541
+ 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608
+ 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675
+ 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807
+ 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873
+ 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938
+ 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068
+ 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132
+ 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195
+ 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321
+ 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383
+ 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444
+ 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565
+ 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624
+ 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682
+ 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797
+ 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854
+ 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909
+ 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017
+ 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107
+ 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412
+ 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327
+ 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632
+ 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545
+ 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285
+ 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762
+ 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066
+ 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976
+ 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528
+ 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189
+ 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491
+ 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398
+ 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177
+ 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606
+ 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907
+ 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981
+ 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011
+ 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011
+ 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311
+ 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209
+ 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508
+ 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404
+ 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702
+ 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596
+ 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893
+ 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783
+ 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079
+ 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967
+ 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262
+ 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146
+ 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441
+ 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322
+ 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615
+ 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493
+ 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785
+ 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659
+ 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195
+ 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821
+ 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111
+ 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978
+ 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266
+ 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129
+ 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416
+ 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276
+ 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561
+ 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416
+ 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701
+ 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552
+ 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835
+ 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681
+ 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962
+ 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804
+ 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084
+ 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922
+ 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422
+ 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033
+ 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309
+ 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137
+ 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412
+ 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235
+ 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508
+ 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326
+ 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598
+ 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741
+ 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768
+ 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487
+ 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755
+ 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557
+ 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823
+ 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619
+ 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883
+ 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673
+ 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936
+ 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272
+ 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298
+ 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759
+ 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017
+ 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789
+ 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046
+ 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812
+ 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066
+ 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826
+ 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078
+ 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831
+ 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081
+ 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828
+ 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076
+ 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816
+ 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062
+ 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795
+ 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038
+ 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765
+ 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006
+ 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725
+ 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964
+ 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676
+ 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912
+ 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618
+ 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851
+ 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549
+ 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781
+ 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471
+ 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667
+ 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383
+ 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609
+ 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285
+ 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508
+ 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176
+ 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397
+ 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057
+ 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275
+ 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927
+ 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143
+ 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787
+ 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72
+ 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636
+ 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846
+ 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474
+ 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682
+ 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301
+ 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506
+ 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117
+ 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319
+ 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921
+ 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612
+ 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714
+ 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691
+ 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495
+ 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689
+ 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265
+ 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456
+ 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023
+ 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211
+ 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769
+ 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954
+ 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503
+ 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685
+ 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225
+ 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404
+ 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935
+ 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211
+ 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632
+ 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805
+ 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317
+ 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486
+ 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989
+ 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155
+ 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649
+ 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812
+ 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296
+ 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456
+ 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593
+ 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087
+ 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551
+ 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705
+ 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716
+ 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309
+ 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755
+ 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901
+ 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336
+ 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848
+ 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905
+ 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045
+ 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946
+ 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597
+ 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002
+ 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135
+ 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053
+ 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066
+ 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044
+ 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171
+ 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545
+ 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668
+ 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032
+ 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151
+ 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505
+ 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621
+ 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964
+ 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077
+ 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409
+ 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518
+ 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384
+ 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946
+ 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257
+ 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359
+ 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466
+ 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759
+ 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049
+ 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144
+ 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423
+ 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514
+ 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783
+ 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587
+ 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128
+ 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212
+ 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459
+ 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539
+ 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775
+ 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852
+ 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077
+ 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715
+ 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364
+ 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434
+ 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637
+ 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703
+ 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895
+ 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957
+ 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138
+ 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196
+ 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366
+ 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421
+ 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858
+ 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631
+ 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778
+ 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826
+ 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962
+ 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006
+ 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131
+ 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171
+ 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285
+ 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321
+ 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424
+ 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456
+ 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518
+ 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548
+ 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577
+ 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631
+ 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657
+ 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682
+ 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729
+ 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751
+ 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772
+ 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812
+ 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983
+ 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848
+ 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988
+ 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894
+ 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908
+ 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932
+ 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943
+ 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953
+ 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997
+ 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977
+ 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983
+ 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992
+ 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996
+ 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998
+ 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1
+ 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998
+ 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988
+ 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983
+ 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962
+ 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953
+ 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992
+ 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908
+ 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864
+ 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848
+ 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793
+ 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772
+ 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706
+ 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682
+ 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604
+ 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577
+ 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488
+ 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456
+ 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356
+ 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321
+ 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921
+ 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171
+ 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049
+ 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006
+ 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872
+ 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826
+ 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681
+ 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631
+ 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475
+ 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421
+ 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254
+ 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196
+ 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018
+ 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957
+ 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768
+ 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703
+ 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503
+ 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434
+ 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223
+ 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715
+ 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928
+ 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852
+ 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619
+ 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539
+ 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295
+ 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212
+ 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957
+ 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587
+ 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605
+ 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514
+ 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238
+ 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144
+ 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856
+ 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759
+ 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446
+ 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359
+ 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051
+ 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946
+ 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627
+ 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518
+ 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188
+ 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077
+ 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736
+ 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621
+ 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227
+ 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151
+ 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179
+ 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668
+ 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296
+ 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171
+ 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789
+ 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066
+ 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267
+ 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135
+ 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732
+ 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597
+ 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184
+ 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045
+ 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622
+ 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848
+ 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047
+ 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901
+ 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459
+ 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309
+ 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857
+ 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705
+ 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242
+ 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087
+ 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615
+ 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456
+ 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974
+ 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812
+ 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321
+ 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155
+ 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655
+ 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486
+ 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976
+ 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805
+ 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285
+ 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211
+ 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581
+ 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404
+ 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866
+ 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685
+ 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138
+ 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954
+ 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398
+ 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211
+ 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646
+ 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456
+ 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882
+ 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689
+ 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106
+ 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691
+ 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319
+ 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612
+ 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552
+ 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319
+ 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471
+ 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506
+ 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889
+ 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682
+ 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056
+ 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846
+ 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213
+ 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72
+ 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358
+ 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143
+ 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493
+ 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275
+ 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618
+ 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397
+ 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732
+ 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508
+ 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835
+ 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609
+ 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928
+ 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667
+ 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011
+ 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781
+ 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085
+ 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851
+ 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148
+ 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912
+ 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202
+ 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964
+ 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246
+ 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006
+ 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281
+ 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038
+ 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307
+ 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062
+ 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323
+ 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076
+ 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331
+ 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081
+ 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733
+ 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078
+ 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632
+ 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066
+ 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302
+ 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046
+ 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275
+ 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017
+ 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324
+ 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298
+ 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198
+ 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936
+ 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147
+ 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883
+ 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089
+ 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823
+ 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023
+ 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755
+ 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949
+ 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768
+ 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869
+ 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598
+ 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781
+ 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508
+ 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687
+ 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412
+ 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586
+ 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309
+ 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478
+ 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422
+ 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364
+ 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084
+ 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243
+ 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962
+ 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117
+ 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835
+ 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985
+ 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701
+ 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847
+ 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561
+ 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703
+ 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416
+ 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554
+ 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266
+ 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334
+ 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111
+ 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241
+ 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195
+ 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077
+ 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785
+ 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908
+ 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615
+ 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735
+ 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441
+ 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557
+ 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262
+ 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375
+ 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079
+ 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519
+ 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893
+ 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24
+ 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702
+ 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807
+ 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508
+ 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611
+ 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311
+ 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411
+ 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011
+ 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208
+ 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907
+ 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002
+ 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177
+ 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794
+ 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491
+ 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583
+ 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528
+ 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437
+ 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066
+ 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154
+ 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285
+ 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937
+ 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632
+ 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717
+ 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412
+ 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017
+ 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963
+ 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909
+ 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797
+ 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274
+ 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682
+ 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565
+ 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505
+ 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444
+ 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321
+ 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258
+ 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195
+ 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068
+ 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003
+ 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938
+ 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807
+ 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741
+ 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675
+ 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541
+ 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474
+ 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407
+ 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272
+ 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038
+ 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359
+ 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068
+
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_4096[8192] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534
+ 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068
+ 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019
+ 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359
+ 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698
+ 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038
+ 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805
+ 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339
+ 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873
+ 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407
+ 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994
+ 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474
+ 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075
+ 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608
+ 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142
+ 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675
+ 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208
+ 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741
+ 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834
+ 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873
+ 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406
+ 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938
+ 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471
+ 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003
+ 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506
+ 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132
+ 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664
+ 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195
+ 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727
+ 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258
+ 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852
+ 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383
+ 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913
+ 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444
+ 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974
+ 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505
+ 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094
+ 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624
+ 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153
+ 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682
+ 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211
+ 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274
+ 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326
+ 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854
+ 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381
+ 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909
+ 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436
+ 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963
+ 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544
+ 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107
+ 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026
+ 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412
+ 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565
+ 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717
+ 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175
+ 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327
+ 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479
+ 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632
+ 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784
+ 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937
+ 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393
+ 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545
+ 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698
+ 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285
+ 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002
+ 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154
+ 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361
+ 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762
+ 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914
+ 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066
+ 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218
+ 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437
+ 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825
+ 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976
+ 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128
+ 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528
+ 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431
+ 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583
+ 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037
+ 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189
+ 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634
+ 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491
+ 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643
+ 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794
+ 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247
+ 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398
+ 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549
+ 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177
+ 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851
+ 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002
+ 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455
+ 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606
+ 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756
+ 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907
+ 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057
+ 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208
+ 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659
+ 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981
+ 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996
+ 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011
+ 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261
+ 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411
+ 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861
+ 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011
+ 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161
+ 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311
+ 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461
+ 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611
+ 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206
+ 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209
+ 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359
+ 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508
+ 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658
+ 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807
+ 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255
+ 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404
+ 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553
+ 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702
+ 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851
+ 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24
+ 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447
+ 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596
+ 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744
+ 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893
+ 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041
+ 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519
+ 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635
+ 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783
+ 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931
+ 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079
+ 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227
+ 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375
+ 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819
+ 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967
+ 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115
+ 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262
+ 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741
+ 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557
+ 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999
+ 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146
+ 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294
+ 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441
+ 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588
+ 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735
+ 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175
+ 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322
+ 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469
+ 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615
+ 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762
+ 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908
+ 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347
+ 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493
+ 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639
+ 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785
+ 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931
+ 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077
+ 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514
+ 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659
+ 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805
+ 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195
+ 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096
+ 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241
+ 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676
+ 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821
+ 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966
+ 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111
+ 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255
+ 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334
+ 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833
+ 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978
+ 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122
+ 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266
+ 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441
+ 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554
+ 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986
+ 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129
+ 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273
+ 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416
+ 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556
+ 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703
+ 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133
+ 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276
+ 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418
+ 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561
+ 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704
+ 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847
+ 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274
+ 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416
+ 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559
+ 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701
+ 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843
+ 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985
+ 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841
+ 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552
+ 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693
+ 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835
+ 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976
+ 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117
+ 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954
+ 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681
+ 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822
+ 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962
+ 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103
+ 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243
+ 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664
+ 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804
+ 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944
+ 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084
+ 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224
+ 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364
+ 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782
+ 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922
+ 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061
+ 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422
+ 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339
+ 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478
+ 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894
+ 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033
+ 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171
+ 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309
+ 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448
+ 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586
+ 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999
+ 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137
+ 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275
+ 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412
+ 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455
+ 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687
+ 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098
+ 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235
+ 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372
+ 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508
+ 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645
+ 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781
+ 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619
+ 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326
+ 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462
+ 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598
+ 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733
+ 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869
+ 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275
+ 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741
+ 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545
+ 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768
+ 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815
+ 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949
+ 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353
+ 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487
+ 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621
+ 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755
+ 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889
+ 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023
+ 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423
+ 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557
+ 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969
+ 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823
+ 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956
+ 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089
+ 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486
+ 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619
+ 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751
+ 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883
+ 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015
+ 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147
+ 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542
+ 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673
+ 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804
+ 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936
+ 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067
+ 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198
+ 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259
+ 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272
+ 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285
+ 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298
+ 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311
+ 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324
+ 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629
+ 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759
+ 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888
+ 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017
+ 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146
+ 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275
+ 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661
+ 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789
+ 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918
+ 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046
+ 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174
+ 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302
+ 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685
+ 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812
+ 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939
+ 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066
+ 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193
+ 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632
+ 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567
+ 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826
+ 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952
+ 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078
+ 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204
+ 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733
+ 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706
+ 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831
+ 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956
+ 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081
+ 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206
+ 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331
+ 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704
+ 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828
+ 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952
+ 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076
+ 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592
+ 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323
+ 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693
+ 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816
+ 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939
+ 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062
+ 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184
+ 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307
+ 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673
+ 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795
+ 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917
+ 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038
+ 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116
+ 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281
+ 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644
+ 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765
+ 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885
+ 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006
+ 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126
+ 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246
+ 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606
+ 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725
+ 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845
+ 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964
+ 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083
+ 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202
+ 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558
+ 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676
+ 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794
+ 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912
+ 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403
+ 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148
+ 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645
+ 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618
+ 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735
+ 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851
+ 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968
+ 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085
+ 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433
+ 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549
+ 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665
+ 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781
+ 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896
+ 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011
+ 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356
+ 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471
+ 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586
+ 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667
+ 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814
+ 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928
+ 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269
+ 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383
+ 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496
+ 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609
+ 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722
+ 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835
+ 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172
+ 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285
+ 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397
+ 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508
+ 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862
+ 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732
+ 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065
+ 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176
+ 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287
+ 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397
+ 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508
+ 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618
+ 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947
+ 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057
+ 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166
+ 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275
+ 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385
+ 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493
+ 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819
+ 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927
+ 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035
+ 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143
+ 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251
+ 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358
+ 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168
+ 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787
+ 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894
+ 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72
+ 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107
+ 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213
+ 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253
+ 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636
+ 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741
+ 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846
+ 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951
+ 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056
+ 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337
+ 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474
+ 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578
+ 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682
+ 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785
+ 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889
+ 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198
+ 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301
+ 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403
+ 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506
+ 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608
+ 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471
+ 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015
+ 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117
+ 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218
+ 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319
+ 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419
+ 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552
+ 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821
+ 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921
+ 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021
+ 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612
+ 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622
+ 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319
+ 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615
+ 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714
+ 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812
+ 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691
+ 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008
+ 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106
+ 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398
+ 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495
+ 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592
+ 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689
+ 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785
+ 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882
+ 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169
+ 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265
+ 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836
+ 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456
+ 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551
+ 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646
+ 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929
+ 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023
+ 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117
+ 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211
+ 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304
+ 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398
+ 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676
+ 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769
+ 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861
+ 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954
+ 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046
+ 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138
+ 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412
+ 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503
+ 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594
+ 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685
+ 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775
+ 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866
+ 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135
+ 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225
+ 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314
+ 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404
+ 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493
+ 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581
+ 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847
+ 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935
+ 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023
+ 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211
+ 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198
+ 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285
+ 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546
+ 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632
+ 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718
+ 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805
+ 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289
+ 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976
+ 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232
+ 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317
+ 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402
+ 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486
+ 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571
+ 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655
+ 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906
+ 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989
+ 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073
+ 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155
+ 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238
+ 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321
+ 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567
+ 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649
+ 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731
+ 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812
+ 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893
+ 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974
+ 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216
+ 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296
+ 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376
+ 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456
+ 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535
+ 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615
+ 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852
+ 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593
+ 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009
+ 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087
+ 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165
+ 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242
+ 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474
+ 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551
+ 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628
+ 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705
+ 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781
+ 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857
+ 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084
+ 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716
+ 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235
+ 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309
+ 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384
+ 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459
+ 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681
+ 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755
+ 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828
+ 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901
+ 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974
+ 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047
+ 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264
+ 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336
+ 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408
+ 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848
+ 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551
+ 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622
+ 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835
+ 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905
+ 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975
+ 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045
+ 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115
+ 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184
+ 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391
+ 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946
+ 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528
+ 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597
+ 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665
+ 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732
+ 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935
+ 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002
+ 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068
+ 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135
+ 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201
+ 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267
+ 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464
+ 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053
+ 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595
+ 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066
+ 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724
+ 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789
+ 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981
+ 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044
+ 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107
+ 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171
+ 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234
+ 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296
+ 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483
+ 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545
+ 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606
+ 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668
+ 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729
+ 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179
+ 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972
+ 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032
+ 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092
+ 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151
+ 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211
+ 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227
+ 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447
+ 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505
+ 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563
+ 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621
+ 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679
+ 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736
+ 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907
+ 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964
+ 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021
+ 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077
+ 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133
+ 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188
+ 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354
+ 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409
+ 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464
+ 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518
+ 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573
+ 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627
+ 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787
+ 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384
+ 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893
+ 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946
+ 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998
+ 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051
+ 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206
+ 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257
+ 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308
+ 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359
+ 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441
+ 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446
+ 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611
+ 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466
+ 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709
+ 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759
+ 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807
+ 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856
+ 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001
+ 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049
+ 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096
+ 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144
+ 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191
+ 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238
+ 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377
+ 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423
+ 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469
+ 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514
+ 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559
+ 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605
+ 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738
+ 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783
+ 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827
+ 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587
+ 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914
+ 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957
+ 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086
+ 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128
+ 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617
+ 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212
+ 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254
+ 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295
+ 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418
+ 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459
+ 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499
+ 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539
+ 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579
+ 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619
+ 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737
+ 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775
+ 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814
+ 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852
+ 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689
+ 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928
+ 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704
+ 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077
+ 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114
+ 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715
+ 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187
+ 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223
+ 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329
+ 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364
+ 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399
+ 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434
+ 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468
+ 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503
+ 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604
+ 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637
+ 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767
+ 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703
+ 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735
+ 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768
+ 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863
+ 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895
+ 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926
+ 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957
+ 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988
+ 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018
+ 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108
+ 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138
+ 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167
+ 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196
+ 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225
+ 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254
+ 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339
+ 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366
+ 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394
+ 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421
+ 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448
+ 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475
+ 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554
+ 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858
+ 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605
+ 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631
+ 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656
+ 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681
+ 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754
+ 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778
+ 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802
+ 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826
+ 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849
+ 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872
+ 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894
+ 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962
+ 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984
+ 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006
+ 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027
+ 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049
+ 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111
+ 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131
+ 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151
+ 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171
+ 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191
+ 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921
+ 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267
+ 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285
+ 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303
+ 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321
+ 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339
+ 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356
+ 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407
+ 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424
+ 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944
+ 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456
+ 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472
+ 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488
+ 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533
+ 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548
+ 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563
+ 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577
+ 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591
+ 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604
+ 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644
+ 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657
+ 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967
+ 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682
+ 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694
+ 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706
+ 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974
+ 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751
+ 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762
+ 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772
+ 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783
+ 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793
+ 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821
+ 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983
+ 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839
+ 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848
+ 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856
+ 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864
+ 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887
+ 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894
+ 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901
+ 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908
+ 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914
+ 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992
+ 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938
+ 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943
+ 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948
+ 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953
+ 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958
+ 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962
+ 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974
+ 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977
+ 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998
+ 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983
+ 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986
+ 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988
+ 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994
+ 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996
+ 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, // 0.0076698, 0.99997
+ 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998
+ 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, // 0.0046019, 0.99999
+ 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1
+ 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf5921faaee6472d, 0x3feffffd88586ee6, // -0.001534, 1
+ 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1
+ 0xbf72d97822f996bc, 0x3fefffe9cb1e2e8d, //-0.0046019, 0.99999
+ 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998
+ 0xbf7f6a65f9a2a3c5, 0x3fefffc250b5daef, //-0.0076698, 0.99997
+ 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996
+ 0xbf85fda037ac05e0, 0x3fefff871937ce2f, // -0.010738, 0.99994
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992
+ 0xbf8c45ffe1e48ad9, 0x3fefff3824c88f6f, // -0.013805, 0.9999
+ 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988
+ 0xbf9147270dad7132, 0x3feffed57398d2b7, // -0.016873, 0.99986
+ 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983
+ 0xbf946b4381fce81c, 0x3feffe5f05e578db, // -0.01994, 0.9998
+ 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977
+ 0xbf978f535ddc9f03, 0x3feffdd4dbf78f52, // -0.023008, 0.99974
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997
+ 0xbf9ab354b1504fca, 0x3feffd36f624500c, // -0.026075, 0.99966
+ 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962
+ 0xbf9dd7458c64ab39, 0x3feffc8554cd213a, // -0.029142, 0.99958
+ 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953
+ 0xbfa07d91ff984580, 0x3feffbbff85f9515, // -0.032208, 0.99948
+ 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943
+ 0xbfa20f770ceb11c6, 0x3feffae6e1556998, // -0.035274, 0.99938
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932
+ 0xbfa3a150f6421afc, 0x3feff9fa10348837, // -0.03834, 0.99926
+ 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992
+ 0xbfa5331ec3bba0eb, 0x3feff8f9858f058b, // -0.041406, 0.99914
+ 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908
+ 0xbfa6c4df7d7d5b84, 0x3feff7e5420320f9, // -0.044471, 0.99901
+ 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894
+ 0xbfa856922bb513c1, 0x3feff6bd463b444d, // -0.047535, 0.99887
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988
+ 0xbfa9e835d6993c87, 0x3feff58192ee0358, // -0.0506, 0.99872
+ 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864
+ 0xbfab79c986698b78, 0x3feff43228de1b77, // -0.053664, 0.99856
+ 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848
+ 0xbfad0b4c436f91d0, 0x3feff2cf08da7321, // -0.056727, 0.99839
+ 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983
+ 0xbfae9cbd15ff5527, 0x3feff15833be1965, // -0.05979, 0.99821
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812
+ 0xbfb0170d833bf421, 0x3fefefcdaa704562, // -0.062852, 0.99802
+ 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793
+ 0xbfb0dfb28ea201e6, 0x3fefee2f6de455ba, // -0.065913, 0.99783
+ 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772
+ 0xbfb1a84d316d4f8a, 0x3fefec7d7f19cffc, // -0.068974, 0.99762
+ 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751
+ 0xbfb270dcefdfc45b, 0x3fefeab7df1c6005, // -0.072035, 0.9974
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729
+ 0xbfb339614e41ffa5, 0x3fefe8de8f03d75c, // -0.075094, 0.99718
+ 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706
+ 0xbfb401d9d0e3a507, 0x3fefe6f18ff42c84, // -0.078153, 0.99694
+ 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682
+ 0xbfb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // -0.081211, 0.9967
+ 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657
+ 0xbfb592a554489bc8, 0x3fefe2dc89bbff08, // -0.084269, 0.99644
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631
+ 0xbfb65af75dd0f87b, 0x3fefe0b485181be3, // -0.087326, 0.99618
+ 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604
+ 0xbfb7233b9d236e71, 0x3fefde78d68653fd, // -0.090381, 0.99591
+ 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577
+ 0xbfb7eb7196b72ee4, 0x3fefdc297f674ba9, // -0.093436, 0.99563
+ 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548
+ 0xbfb8b398cf0c38e0, 0x3fefd9c68127c78c, // -0.09649, 0.99533
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518
+ 0xbfb97bb0caaba56f, 0x3fefd74fdd40abbf, // -0.099544, 0.99503
+ 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488
+ 0xbfba43b90e27f3c4, 0x3fefd4c59536fae4, // -0.1026, 0.99472
+ 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456
+ 0xbfbb0bb11e1d5559, 0x3fefd227aa9bd53b, // -0.10565, 0.9944
+ 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424
+ 0xbfbbd3987f31fa0e, 0x3fefcf761f0c77a3, // -0.1087, 0.99407
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbc9b6eb6165c42, 0x3fefccb0f4323aa3, // -0.11175, 0.99374
+ 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356
+ 0xbfbd633347858ce4, 0x3fefc9d82bc2915e, // -0.11479, 0.99339
+ 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321
+ 0xbfbe2ae5b8457f77, 0x3fefc6ebc77f0887, // -0.11784, 0.99303
+ 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285
+ 0xbfbef2858d27561b, 0x3fefc3ebc935454c, // -0.12089, 0.99267
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfbfba124b07ad85, 0x3fefc0d832bf043a, // -0.12393, 0.99229
+ 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921
+ 0xbfc040c5bb67747e, 0x3fefbdb106021816, // -0.12698, 0.99191
+ 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171
+ 0xbfc0a4784ab8bf1d, 0x3fefba7644f068b5, // -0.13002, 0.99151
+ 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131
+ 0xbfc1082095f820b0, 0x3fefb727f187f1c7, // -0.13306, 0.99111
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc16bbe5fac5865, 0x3fefb3c60dd2c199, // -0.1361, 0.9907
+ 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049
+ 0xbfc1cf516a62a077, 0x3fefb0509be6f7db, // -0.13914, 0.99027
+ 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006
+ 0xbfc232d978aed413, 0x3fefacc79de6c44f, // -0.14218, 0.98984
+ 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962
+ 0xbfc296564d2b953e, 0x3fefa92b1600657c, // -0.14521, 0.9894
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc2f9c7aa7a72af, 0x3fefa57b066e2754, // -0.14825, 0.98895
+ 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872
+ 0xbfc35d2d53440db2, 0x3fefa1b7717661d5, // -0.15128, 0.98849
+ 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826
+ 0xbfc3c0870a383ff6, 0x3fef9de0596b77a3, // -0.15431, 0.98802
+ 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778
+ 0xbfc423d4920e4166, 0x3fef99f5c0abd496, // -0.15734, 0.98754
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc48715ad84cdf5, 0x3fef95f7a9a1ec47, // -0.16037, 0.98706
+ 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681
+ 0xbfc4ea4a1f624b61, 0x3fef91e616c43891, // -0.1634, 0.98656
+ 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631
+ 0xbfc54d71aa74ef02, 0x3fef8dc10a95380d, // -0.16643, 0.98605
+ 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858
+ 0xbfc5b08c1192e381, 0x3fef898887a36c84, // -0.16945, 0.98554
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc61399179a6e94, 0x3fef853c9089595e, // -0.17247, 0.98501
+ 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475
+ 0xbfc676987f7216b8, 0x3fef80dd27ed8204, // -0.17549, 0.98448
+ 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421
+ 0xbfc6d98a0c08c8da, 0x3fef7c6a50826840, // -0.17851, 0.98394
+ 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366
+ 0xbfc73c6d8055fe0a, 0x3fef77e40d068a90, // -0.18153, 0.98339
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc79f429f59e11d, 0x3fef734a60446279, // -0.18455, 0.98282
+ 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254
+ 0xbfc802092c1d744b, 0x3fef6e9d4d1262ca, // -0.18756, 0.98225
+ 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196
+ 0xbfc864c0e9b2b6cf, 0x3fef69dcd652f5de, // -0.19057, 0.98167
+ 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138
+ 0xbfc8c7699b34ca7e, 0x3fef6508fef47bd5, // -0.19359, 0.98108
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfc92a0303c8194f, 0x3fef6021c9f148c2, // -0.19659, 0.98048
+ 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018
+ 0xbfc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // -0.1996, 0.97988
+ 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957
+ 0xbfc9ef0706e35a35, 0x3fef56195321c090, // -0.20261, 0.97926
+ 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895
+ 0xbfca517127e3dabc, 0x3fef50f81785c6b9, // -0.20561, 0.97863
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // -0.20861, 0.978
+ 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768
+ 0xbfcb16147941ca2a, 0x3fef467bafb7bbe0, // -0.21161, 0.97735
+ 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703
+ 0xbfcb784d30536cda, 0x3fef412089fd8adc, // -0.21461, 0.9767
+ 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637
+ 0xbfcbda74f5856330, 0x3fef3bb21cc4fe47, // -0.2176, 0.97604
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcc3c8b8c4b9dd7, 0x3fef36306b67c556, // -0.2206, 0.97536
+ 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503
+ 0xbfcc9e90b824a6a9, 0x3fef309b794b719f, // -0.22359, 0.97468
+ 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434
+ 0xbfcd00843c99c5f9, 0x3fef2af349e17507, // -0.22658, 0.97399
+ 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364
+ 0xbfcd6265dd3f27e3, 0x3fef2537e0a71f9f, // -0.22957, 0.97329
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfcdc4355db40195, 0x3fef1f6941259d7a, // -0.23255, 0.97258
+ 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223
+ 0xbfce25f281a2b684, 0x3fef19876ef1f486, // -0.23553, 0.97187
+ 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715
+ 0xbfce879d0cc0fdaf, 0x3fef13926dad024e, // -0.23851, 0.97114
+ 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077
+ 0xbfcee934c2d006c7, 0x3fef0d8a410379c5, // -0.24149, 0.9704
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfcf4ab9679c9f5c, 0x3fef076eecade0fa, // -0.24447, 0.96966
+ 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928
+ 0xbfcfac2abeff57ff, 0x3fef014074708ed3, // -0.24744, 0.9689
+ 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852
+ 0xbfd006c4466e54af, 0x3feefafedc1ba8b7, // -0.25041, 0.96814
+ 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775
+ 0xbfd037694a928cac, 0x3feef4aa278b2032, // -0.25338, 0.96737
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd068044deab002, 0x3feeee425aa6b09a, // -0.25635, 0.96658
+ 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619
+ 0xbfd09895327b465e, 0x3feee7c77961dc9e, // -0.25931, 0.96579
+ 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539
+ 0xbfd0c91bda4f158d, 0x3feee13987bbebdc, // -0.26227, 0.96499
+ 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459
+ 0xbfd0f998277733f7, 0x3feeda9889bfe86a, // -0.26523, 0.96418
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd12a09fc0b1b12, 0x3feed3e483849c51, // -0.26819, 0.96337
+ 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295
+ 0xbfd15a713a28b9d9, 0x3feecd1d792c8f10, // -0.27115, 0.96254
+ 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212
+ 0xbfd18acdc3f4873a, 0x3feec6436ee60309, // -0.2741, 0.9617
+ 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128
+ 0xbfd1bb1f7b999480, 0x3feebf5668eaf2ef, // -0.27705, 0.96086
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd1eb6643499fbb, 0x3feeb8566b810f2a, // -0.27999, 0.96
+ 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957
+ 0xbfd21ba1fd3d2623, 0x3feeb1437af9bb34, // -0.28294, 0.95914
+ 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587
+ 0xbfd24bd28bb37672, 0x3feeaa1d9bb20af3, // -0.28588, 0.95827
+ 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783
+ 0xbfd27bf7d0f2c346, 0x3feea2e4d212c000, // -0.28882, 0.95738
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd2ac11af483572, 0x3fee9b99229046f8, // -0.29175, 0.95649
+ 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605
+ 0xbfd2dc200907fe51, 0x3fee943a91aab4b4, // -0.29469, 0.95559
+ 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514
+ 0xbfd30c22c08d6a13, 0x3fee8cc923edc388, // -0.29762, 0.95469
+ 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423
+ 0xbfd33c19b83af207, 0x3fee8544ddf0d075, // -0.30054, 0.95377
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd36c04d27a4edf, 0x3fee7dadc456d850, // -0.30347, 0.95284
+ 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238
+ 0xbfd39be3f1bc8aef, 0x3fee7603dbce74e9, // -0.30639, 0.95191
+ 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144
+ 0xbfd3cbb6f87a146e, 0x3fee6e472911da27, // -0.30931, 0.95096
+ 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049
+ 0xbfd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // -0.31222, 0.95001
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd42b38466e2928, 0x3fee5e95781ebf1c, // -0.31514, 0.94905
+ 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856
+ 0xbfd45ae652bb2800, 0x3fee56a083968eb1, // -0.31805, 0.94807
+ 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759
+ 0xbfd48a87d0b07fd7, 0x3fee4e98d836c0af, // -0.32096, 0.94709
+ 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466
+ 0xbfd4ba1ca2eca31c, 0x3fee467e7af35f23, // -0.32386, 0.94611
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd4e9a4ac15d520, 0x3fee3e5170cbfc46, // -0.32676, 0.94511
+ 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446
+ 0xbfd5191fceda3c35, 0x3fee3611becbaf69, // -0.32966, 0.9441
+ 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359
+ 0xbfd5488dedeff3be, 0x3fee2dbf6a0911d9, // -0.33255, 0.94308
+ 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257
+ 0xbfd577eeec151e47, 0x3fee255a77a63bb8, // -0.33545, 0.94206
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // -0.33833, 0.94103
+ 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051
+ 0xbfd5d68910aee686, 0x3fee1458cec1ad83, // -0.34122, 0.93998
+ 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946
+ 0xbfd605c1fcc88f63, 0x3fee0bbc22bd8349, // -0.3441, 0.93893
+ 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384
+ 0xbfd634ed533be58e, 0x3fee030cee1435b8, // -0.34698, 0.93787
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd6640af6f03d9e, 0x3fedfa4b3621271d, // -0.34986, 0.9368
+ 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627
+ 0xbfd6931acad55f51, 0x3fedf177004b2534, // -0.35273, 0.93573
+ 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518
+ 0xbfd6c21cb1e39771, 0x3fede890520465ce, // -0.3556, 0.93464
+ 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409
+ 0xbfd6f1108f1bc9c5, 0x3feddf9730ca837b, // -0.35846, 0.93354
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd71ff6458782ec, 0x3fedd68ba2267a25, // -0.36133, 0.93244
+ 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188
+ 0xbfd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // -0.36418, 0.93133
+ 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077
+ 0xbfd77d96ca4b73a6, 0x3fedc43d52fcb453, // -0.36704, 0.93021
+ 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964
+ 0xbfd7ac515ee2b172, 0x3fedbafa9dc1b78d, // -0.36989, 0.92907
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd7dafd592ba621, 0x3fedb1a591b20c38, // -0.37274, 0.92794
+ 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736
+ 0xbfd8099a9c5c362d, 0x3feda83e348f613b, // -0.37559, 0.92679
+ 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621
+ 0xbfd838290bb359c8, 0x3fed9ec48c26b1f3, // -0.37843, 0.92563
+ 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505
+ 0xbfd866a88a792ea0, 0x3fed95389e50429b, // -0.38127, 0.92447
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd89518fbff098e, 0x3fed8b9a70ef9cb4, // -0.3841, 0.92329
+ 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227
+ 0xbfd8c37a439f884f, 0x3fed81ea09f38b63, // -0.38693, 0.92211
+ 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151
+ 0xbfd8f1cc44bea329, 0x3fed78276f5617c6, // -0.38976, 0.92092
+ 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032
+ 0xbfd9200ee2c9be97, 0x3fed6e52a71c8547, // -0.39258, 0.91972
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd94e420137bce3, 0x3fed646bb7574de5, // -0.3954, 0.91851
+ 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179
+ 0xbfd97c6583890fc2, 0x3fed5a72a6221e73, // -0.39822, 0.91729
+ 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668
+ 0xbfd9aa794d47c9ee, 0x3fed506779a3d2d9, // -0.40103, 0.91606
+ 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545
+ 0xbfd9d87d4207b0ab, 0x3fed464a380e7242, // -0.40384, 0.91483
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfda067145664d57, 0x3fed3c1ae79f2b4e, // -0.40664, 0.91359
+ 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296
+ 0xbfda34553b0afee5, 0x3fed31d98e9e503a, // -0.40944, 0.91234
+ 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171
+ 0xbfda622906a70b63, 0x3fed2786335f52fc, // -0.41224, 0.91107
+ 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044
+ 0xbfda8fec8bf5b166, 0x3fed1d20dc40c15c, // -0.41503, 0.90981
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdabd9faebc3980, 0x3fed12a98fac410c, // -0.41782, 0.90853
+ 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789
+ 0xbfdaeb4252ca07ab, 0x3fed082054168bac, // -0.42061, 0.90724
+ 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066
+ 0xbfdb18d45bf8aca6, 0x3fecfd852fff6ad4, // -0.42339, 0.90595
+ 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053
+ 0xbfdb4655ae2bf757, 0x3fecf2d829f1b40e, // -0.42617, 0.90464
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdb73c62d520624, 0x3fece819488344ce, // -0.42894, 0.90333
+ 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267
+ 0xbfdba125bd63583e, 0x3fecdd489254fe65, // -0.43171, 0.90201
+ 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135
+ 0xbfdbce744262deee, 0x3fecd2660e12c1e6, // -0.43448, 0.90068
+ 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002
+ 0xbfdbfbb1a05e0edc, 0x3fecc771c2736c09, // -0.43724, 0.89935
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdc28ddbb6cf145, 0x3fecbc6bb638d10b, // -0.43999, 0.898
+ 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732
+ 0xbfdc55f877b23537, 0x3fecb153f02fb87d, // -0.44275, 0.89665
+ 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597
+ 0xbfdc8301b95b40c2, 0x3feca62a772fd919, // -0.4455, 0.89528
+ 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946
+ 0xbfdcaff964a0421d, 0x3fec9aef521bd480, // -0.44824, 0.89391
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdcdcdf5dc440ce, 0x3fec8fa287e13305, // -0.45098, 0.89253
+ 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184
+ 0xbfdd09b389152ec1, 0x3fec84441f785f61, // -0.45372, 0.89115
+ 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045
+ 0xbfdd3675caebf962, 0x3fec78d41fe4a267, // -0.45645, 0.88975
+ 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905
+ 0xbfdd632607ac9aa9, 0x3fec6d5290341eb2, // -0.45918, 0.88835
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfdd8fc423c62a25, 0x3fec61bf777fcc48, // -0.4619, 0.88693
+ 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622
+ 0xbfddbc5003b2edf8, 0x3fec561adceb743e, // -0.46462, 0.88551
+ 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848
+ 0xbfdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // -0.46733, 0.88408
+ 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336
+ 0xbfde1530a12779f4, 0x3fec3e9d3ee7d262, // -0.47004, 0.88264
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfde418527dc4ffa, 0x3fec32c449f60831, // -0.47275, 0.8812
+ 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047
+ 0xbfde6dc704be97e2, 0x3fec26d9f01f2eaf, // -0.47545, 0.87974
+ 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901
+ 0xbfde99f61c817eda, 0x3fec1ade38bce19b, // -0.47815, 0.87828
+ 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755
+ 0xbfdec61253e3c61b, 0x3fec0ed12b3372e9, // -0.48084, 0.87681
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdef21b8fafd3b5, 0x3fec02b2cef1e641, // -0.48353, 0.87533
+ 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459
+ 0xbfdf1e11b4bbc35c, 0x3febf6832b71ec5b, // -0.48621, 0.87384
+ 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309
+ 0xbfdf49f4a7e97729, 0x3febea424837de6d, // -0.48889, 0.87235
+ 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716
+ 0xbfdf75c44e26a852, 0x3febddf02cd2b983, // -0.49156, 0.87084
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // -0.49423, 0.86933
+ 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857
+ 0xbfdfcd2947c1ff57, 0x3febc5186bf8361d, // -0.4969, 0.86781
+ 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705
+ 0xbfdff8be6537615e, 0x3febb892d5d5dad5, // -0.49956, 0.86628
+ 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551
+ 0xbfe0121fe4f56d2c, 0x3febabfc262e6586, // -0.50221, 0.86474
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe027d6ad83287e, 0x3feb9f5464c5bffc, // -0.50486, 0.8632
+ 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242
+ 0xbfe03d837edff370, 0x3feb929b996a5b7f, // -0.50751, 0.86165
+ 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087
+ 0xbfe053264bad0483, 0x3feb85d1cbf52c02, // -0.51015, 0.86009
+ 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593
+ 0xbfe068bf0691c028, 0x3feb78f70449a34b, // -0.51279, 0.85852
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe07e4da23bc102, 0x3feb6c0b4a55ac17, // -0.51542, 0.85694
+ 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615
+ 0xbfe093d2115ee018, 0x3feb5f0ea611a532, // -0.51804, 0.85535
+ 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456
+ 0xbfe0a94c46b53d0b, 0x3feb52011f805c92, // -0.52067, 0.85376
+ 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296
+ 0xbfe0bebc34ff4646, 0x3feb44e2beaf0a61, // -0.52328, 0.85216
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe0d421cf03c12b, 0x3feb37b38bb54c09, // -0.5259, 0.85055
+ 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974
+ 0xbfe0e97d078fd23b, 0x3feb2a738eb51f33, // -0.5285, 0.84893
+ 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812
+ 0xbfe0fecdd1770537, 0x3feb1d22cfdadcc6, // -0.5311, 0.84731
+ 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649
+ 0xbfe114141f935545, 0x3feb0fc1575d33db, // -0.5337, 0.84567
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe1294fe4c5350a, 0x3feb024f2d7d24a9, // -0.53629, 0.84403
+ 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321
+ 0xbfe13e8113f396c1, 0x3feaf4cc5a85fb73, // -0.53888, 0.84238
+ 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155
+ 0xbfe153a7a00bf453, 0x3feae738e6cd4b67, // -0.54146, 0.84073
+ 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989
+ 0xbfe168c37c025764, 0x3fead994dab2e979, // -0.54404, 0.83906
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe17dd49ad16161, 0x3feacbe03ea0e73b, // -0.54661, 0.83739
+ 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655
+ 0xbfe192daef7a5386, 0x3feabe1b1b0b8dac, // -0.54918, 0.83571
+ 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486
+ 0xbfe1a7d66d0516e6, 0x3feab045787157ff, // -0.55174, 0.83402
+ 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317
+ 0xbfe1bcc706804467, 0x3feaa25f5f5aee60, // -0.55429, 0.83232
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe1d1acaf012cc2, 0x3fea9468d85b20ae, // -0.55685, 0.83062
+ 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976
+ 0xbfe1e68759a3e074, 0x3fea8661ec0ee133, // -0.55939, 0.8289
+ 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805
+ 0xbfe1fb56f98b37b8, 0x3fea784aa31d3f55, // -0.56193, 0.82718
+ 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632
+ 0xbfe2101b81e0da78, 0x3fea6a230637623b, // -0.56447, 0.82546
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe224d4e5d5482e, 0x3fea5beb1e188375, // -0.567, 0.82372
+ 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285
+ 0xbfe23983189fdfd5, 0x3fea4da2f385e997, // -0.56952, 0.82198
+ 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211
+ 0xbfe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // -0.57204, 0.82023
+ 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935
+ 0xbfe262bdb7b795a2, 0x3fea30e1fa4cbf81, // -0.57455, 0.81847
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2774a0a961612, 0x3fea22693d62ccb9, // -0.57706, 0.8167
+ 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581
+ 0xbfe28bcaf96d94ba, 0x3fea13e0617e4ec7, // -0.57956, 0.81493
+ 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404
+ 0xbfe2a040779843fb, 0x3fea05476f967bb5, // -0.58206, 0.81314
+ 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225
+ 0xbfe2b4aa787764c4, 0x3fe9f69e70ac75bc, // -0.58455, 0.81135
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe2c908ef734e57, 0x3fe9e7e56dcb45bd, // -0.58704, 0.80956
+ 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866
+ 0xbfe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // -0.58952, 0.80775
+ 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685
+ 0xbfe2f1a30d86773a, 0x3fe9ca438080eadb, // -0.592, 0.80594
+ 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503
+ 0xbfe305de9b921a94, 0x3fe9bb5aa85f2098, // -0.59447, 0.80412
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe31a0e6da35e44, 0x3fe9ac61f0d4e247, // -0.59693, 0.80229
+ 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138
+ 0xbfe32e3277467d6b, 0x3fe99d59631e65d5, // -0.59939, 0.80046
+ 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954
+ 0xbfe3424aac0ef7d6, 0x3fe98e410881a600, // -0.60184, 0.79861
+ 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769
+ 0xbfe35656ff9799ae, 0x3fe97f18ea4e5c9e, // -0.60429, 0.79676
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe36a576582831b, 0x3fe96fe111ddfce0, // -0.60673, 0.79491
+ 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398
+ 0xbfe37e4bd1792fe2, 0x3fe960998893ad8c, // -0.60917, 0.79304
+ 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211
+ 0xbfe39234372c7f04, 0x3fe9514257dc4335, // -0.6116, 0.79117
+ 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023
+ 0xbfe3a6108a54ba58, 0x3fe941db892e3a65, // -0.61402, 0.78929
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3b9e0beb19e18, 0x3fe932652609b1cf, // -0.61644, 0.7874
+ 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646
+ 0xbfe3cda4c80a6076, 0x3fe922df37f8646a, // -0.61885, 0.78551
+ 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456
+ 0xbfe3e15c9a2db922, 0x3fe91349c88da398, // -0.62126, 0.7836
+ 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265
+ 0xbfe3f50828f1e8d2, 0x3fe903a4e1665133, // -0.62366, 0.78169
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe408a76834c0c0, 0x3fe8f3f08c28d9ac, // -0.62606, 0.77978
+ 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882
+ 0xbfe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // -0.62845, 0.77785
+ 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689
+ 0xbfe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // -0.63083, 0.77592
+ 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495
+ 0xbfe4433ad0117b1d, 0x3fe8c47758fa71cb, // -0.63321, 0.77398
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe456a858917046, 0x3fe8b485aca2a468, // -0.63558, 0.77204
+ 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106
+ 0xbfe46a095557a0f1, 0x3fe8a484c3031d50, // -0.63794, 0.77008
+ 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691
+ 0xbfe47d5dba6fde01, 0x3fe89474a5fb0a84, // -0.6403, 0.76812
+ 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714
+ 0xbfe490a57bedbcdf, 0x3fe884555f72fa6b, // -0.64266, 0.76615
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // -0.645, 0.76418
+ 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319
+ 0xbfe4b70ee48fb869, 0x3fe863e97db3d95a, // -0.64735, 0.7622
+ 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612
+ 0xbfe4ca30740218a3, 0x3fe8539cf67c9029, // -0.64968, 0.76021
+ 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921
+ 0xbfe4dd453076b064, 0x3fe843416dc4cce2, // -0.65201, 0.75821
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // -0.65433, 0.75621
+ 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552
+ 0xbfe503480159ded2, 0x3fe8225d803964e5, // -0.65665, 0.75419
+ 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319
+ 0xbfe51635fe5601d7, 0x3fe811d52faf94dc, // -0.65896, 0.75218
+ 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117
+ 0xbfe52916f96f8388, 0x3fe8013e0638e795, // -0.66127, 0.75015
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe53beae7012abe, 0x3fe7f0980e113978, // -0.66356, 0.74812
+ 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471
+ 0xbfe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // -0.66586, 0.74608
+ 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506
+ 0xbfe5616b6b204e6e, 0x3fe7cf1fdacbf179, // -0.66814, 0.74403
+ 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301
+ 0xbfe57417ea8bb75c, 0x3fe7be4db453a27c, // -0.67042, 0.74198
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // -0.67269, 0.73992
+ 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889
+ 0xbfe599492a81ffbc, 0x3fe79c7d8198e56e, // -0.67496, 0.73785
+ 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682
+ 0xbfe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // -0.67722, 0.73578
+ 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474
+ 0xbfe5be451f8bf980, 0x3fe77a730cbb9100, // -0.67948, 0.7337
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe5d0af016ed1d4, 0x3fe7695813b9b594, // -0.68172, 0.73161
+ 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056
+ 0xbfe5e30b6e6877f3, 0x3fe7582ea9b9a329, // -0.68397, 0.72951
+ 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846
+ 0xbfe5f55a5b2576f8, 0x3fe746f6d9516d59, // -0.6862, 0.72741
+ 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636
+ 0xbfe6079bbc5aadfa, 0x3fe735b0ad2009b2, // -0.68843, 0.7253
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe619cf86c55702, 0x3fe7245c2fcd492a, // -0.69065, 0.72319
+ 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213
+ 0xbfe62bf5af2b0dfd, 0x3fe712f96c09d18d, // -0.69287, 0.72107
+ 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72
+ 0xbfe63e0e2a59d7aa, 0x3fe701886c8f16e6, // -0.69508, 0.71894
+ 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787
+ 0xbfe65018ed28287f, 0x3fe6f0093c1f54de, // -0.69728, 0.7168
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe66215ec74eb91, 0x3fe6de7be585881d, // -0.69947, 0.71466
+ 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358
+ 0xbfe674051d27896c, 0x3fe6cce07395679f, // -0.70166, 0.71251
+ 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143
+ 0xbfe685e6742feeef, 0x3fe6bb36f12b5e06, // -0.70385, 0.71035
+ 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927
+ 0xbfe697b9e686941c, 0x3fe6a97f692c82ea, // -0.70602, 0.70819
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6a97f692c82ea, 0x3fe697b9e686941c, // -0.70819, 0.70602
+ 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493
+ 0xbfe6bb36f12b5e06, 0x3fe685e6742feeef, // -0.71035, 0.70385
+ 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275
+ 0xbfe6cce07395679f, 0x3fe674051d27896c, // -0.71251, 0.70166
+ 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057
+ 0xbfe6de7be585881d, 0x3fe66215ec74eb91, // -0.71466, 0.69947
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe6f0093c1f54de, 0x3fe65018ed28287f, // -0.7168, 0.69728
+ 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618
+ 0xbfe701886c8f16e6, 0x3fe63e0e2a59d7aa, // -0.71894, 0.69508
+ 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397
+ 0xbfe712f96c09d18d, 0x3fe62bf5af2b0dfd, // -0.72107, 0.69287
+ 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176
+ 0xbfe7245c2fcd492a, 0x3fe619cf86c55702, // -0.72319, 0.69065
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe735b0ad2009b2, 0x3fe6079bbc5aadfa, // -0.7253, 0.68843
+ 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732
+ 0xbfe746f6d9516d59, 0x3fe5f55a5b2576f8, // -0.72741, 0.6862
+ 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508
+ 0xbfe7582ea9b9a329, 0x3fe5e30b6e6877f3, // -0.72951, 0.68397
+ 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285
+ 0xbfe7695813b9b594, 0x3fe5d0af016ed1d4, // -0.73161, 0.68172
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe77a730cbb9100, 0x3fe5be451f8bf980, // -0.7337, 0.67948
+ 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835
+ 0xbfe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // -0.73578, 0.67722
+ 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609
+ 0xbfe79c7d8198e56e, 0x3fe599492a81ffbc, // -0.73785, 0.67496
+ 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383
+ 0xbfe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // -0.73992, 0.67269
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7be4db453a27c, 0x3fe57417ea8bb75c, // -0.74198, 0.67042
+ 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928
+ 0xbfe7cf1fdacbf179, 0x3fe5616b6b204e6e, // -0.74403, 0.66814
+ 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667
+ 0xbfe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // -0.74608, 0.66586
+ 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471
+ 0xbfe7f0980e113978, 0x3fe53beae7012abe, // -0.74812, 0.66356
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe8013e0638e795, 0x3fe52916f96f8388, // -0.75015, 0.66127
+ 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011
+ 0xbfe811d52faf94dc, 0x3fe51635fe5601d7, // -0.75218, 0.65896
+ 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781
+ 0xbfe8225d803964e5, 0x3fe503480159ded2, // -0.75419, 0.65665
+ 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549
+ 0xbfe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // -0.75621, 0.65433
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe843416dc4cce2, 0x3fe4dd453076b064, // -0.75821, 0.65201
+ 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085
+ 0xbfe8539cf67c9029, 0x3fe4ca30740218a3, // -0.76021, 0.64968
+ 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851
+ 0xbfe863e97db3d95a, 0x3fe4b70ee48fb869, // -0.7622, 0.64735
+ 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618
+ 0xbfe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // -0.76418, 0.645
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe884555f72fa6b, 0x3fe490a57bedbcdf, // -0.76615, 0.64266
+ 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148
+ 0xbfe89474a5fb0a84, 0x3fe47d5dba6fde01, // -0.76812, 0.6403
+ 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912
+ 0xbfe8a484c3031d50, 0x3fe46a095557a0f1, // -0.77008, 0.63794
+ 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676
+ 0xbfe8b485aca2a468, 0x3fe456a858917046, // -0.77204, 0.63558
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8c47758fa71cb, 0x3fe4433ad0117b1d, // -0.77398, 0.63321
+ 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202
+ 0xbfe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // -0.77592, 0.63083
+ 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964
+ 0xbfe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // -0.77785, 0.62845
+ 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725
+ 0xbfe8f3f08c28d9ac, 0x3fe408a76834c0c0, // -0.77978, 0.62606
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe903a4e1665133, 0x3fe3f50828f1e8d2, // -0.78169, 0.62366
+ 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246
+ 0xbfe91349c88da398, 0x3fe3e15c9a2db922, // -0.7836, 0.62126
+ 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006
+ 0xbfe922df37f8646a, 0x3fe3cda4c80a6076, // -0.78551, 0.61885
+ 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765
+ 0xbfe932652609b1cf, 0x3fe3b9e0beb19e18, // -0.7874, 0.61644
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe941db892e3a65, 0x3fe3a6108a54ba58, // -0.78929, 0.61402
+ 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281
+ 0xbfe9514257dc4335, 0x3fe39234372c7f04, // -0.79117, 0.6116
+ 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038
+ 0xbfe960998893ad8c, 0x3fe37e4bd1792fe2, // -0.79304, 0.60917
+ 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795
+ 0xbfe96fe111ddfce0, 0x3fe36a576582831b, // -0.79491, 0.60673
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe97f18ea4e5c9e, 0x3fe35656ff9799ae, // -0.79676, 0.60429
+ 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307
+ 0xbfe98e410881a600, 0x3fe3424aac0ef7d6, // -0.79861, 0.60184
+ 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062
+ 0xbfe99d59631e65d5, 0x3fe32e3277467d6b, // -0.80046, 0.59939
+ 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816
+ 0xbfe9ac61f0d4e247, 0x3fe31a0e6da35e44, // -0.80229, 0.59693
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9bb5aa85f2098, 0x3fe305de9b921a94, // -0.80412, 0.59447
+ 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323
+ 0xbfe9ca438080eadb, 0x3fe2f1a30d86773a, // -0.80594, 0.592
+ 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076
+ 0xbfe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // -0.80775, 0.58952
+ 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828
+ 0xbfe9e7e56dcb45bd, 0x3fe2c908ef734e57, // -0.80956, 0.58704
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfe9f69e70ac75bc, 0x3fe2b4aa787764c4, // -0.81135, 0.58455
+ 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331
+ 0xbfea05476f967bb5, 0x3fe2a040779843fb, // -0.81314, 0.58206
+ 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081
+ 0xbfea13e0617e4ec7, 0x3fe28bcaf96d94ba, // -0.81493, 0.57956
+ 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831
+ 0xbfea22693d62ccb9, 0x3fe2774a0a961612, // -0.8167, 0.57706
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea30e1fa4cbf81, 0x3fe262bdb7b795a2, // -0.81847, 0.57455
+ 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733
+ 0xbfea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // -0.82023, 0.57204
+ 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078
+ 0xbfea4da2f385e997, 0x3fe23983189fdfd5, // -0.82198, 0.56952
+ 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826
+ 0xbfea5beb1e188375, 0x3fe224d4e5d5482e, // -0.82372, 0.567
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea6a230637623b, 0x3fe2101b81e0da78, // -0.82546, 0.56447
+ 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632
+ 0xbfea784aa31d3f55, 0x3fe1fb56f98b37b8, // -0.82718, 0.56193
+ 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066
+ 0xbfea8661ec0ee133, 0x3fe1e68759a3e074, // -0.8289, 0.55939
+ 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812
+ 0xbfea9468d85b20ae, 0x3fe1d1acaf012cc2, // -0.83062, 0.55685
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeaa25f5f5aee60, 0x3fe1bcc706804467, // -0.83232, 0.55429
+ 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302
+ 0xbfeab045787157ff, 0x3fe1a7d66d0516e6, // -0.83402, 0.55174
+ 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046
+ 0xbfeabe1b1b0b8dac, 0x3fe192daef7a5386, // -0.83571, 0.54918
+ 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789
+ 0xbfeacbe03ea0e73b, 0x3fe17dd49ad16161, // -0.83739, 0.54661
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfead994dab2e979, 0x3fe168c37c025764, // -0.83906, 0.54404
+ 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275
+ 0xbfeae738e6cd4b67, 0x3fe153a7a00bf453, // -0.84073, 0.54146
+ 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017
+ 0xbfeaf4cc5a85fb73, 0x3fe13e8113f396c1, // -0.84238, 0.53888
+ 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759
+ 0xbfeb024f2d7d24a9, 0x3fe1294fe4c5350a, // -0.84403, 0.53629
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb0fc1575d33db, 0x3fe114141f935545, // -0.84567, 0.5337
+ 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324
+ 0xbfeb1d22cfdadcc6, 0x3fe0fecdd1770537, // -0.84731, 0.5311
+ 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298
+ 0xbfeb2a738eb51f33, 0x3fe0e97d078fd23b, // -0.84893, 0.5285
+ 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272
+ 0xbfeb37b38bb54c09, 0x3fe0d421cf03c12b, // -0.85055, 0.5259
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb44e2beaf0a61, 0x3fe0bebc34ff4646, // -0.85216, 0.52328
+ 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198
+ 0xbfeb52011f805c92, 0x3fe0a94c46b53d0b, // -0.85376, 0.52067
+ 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936
+ 0xbfeb5f0ea611a532, 0x3fe093d2115ee018, // -0.85535, 0.51804
+ 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673
+ 0xbfeb6c0b4a55ac17, 0x3fe07e4da23bc102, // -0.85694, 0.51542
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeb78f70449a34b, 0x3fe068bf0691c028, // -0.85852, 0.51279
+ 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147
+ 0xbfeb85d1cbf52c02, 0x3fe053264bad0483, // -0.86009, 0.51015
+ 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883
+ 0xbfeb929b996a5b7f, 0x3fe03d837edff370, // -0.86165, 0.50751
+ 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619
+ 0xbfeb9f5464c5bffc, 0x3fe027d6ad83287e, // -0.8632, 0.50486
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebabfc262e6586, 0x3fe0121fe4f56d2c, // -0.86474, 0.50221
+ 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089
+ 0xbfebb892d5d5dad5, 0x3fdff8be6537615e, // -0.86628, 0.49956
+ 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823
+ 0xbfebc5186bf8361d, 0x3fdfcd2947c1ff57, // -0.86781, 0.4969
+ 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557
+ 0xbfebd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // -0.86933, 0.49423
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfebddf02cd2b983, 0x3fdf75c44e26a852, // -0.87084, 0.49156
+ 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023
+ 0xbfebea424837de6d, 0x3fdf49f4a7e97729, // -0.87235, 0.48889
+ 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755
+ 0xbfebf6832b71ec5b, 0x3fdf1e11b4bbc35c, // -0.87384, 0.48621
+ 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487
+ 0xbfec02b2cef1e641, 0x3fdef21b8fafd3b5, // -0.87533, 0.48353
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec0ed12b3372e9, 0x3fdec61253e3c61b, // -0.87681, 0.48084
+ 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949
+ 0xbfec1ade38bce19b, 0x3fde99f61c817eda, // -0.87828, 0.47815
+ 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768
+ 0xbfec26d9f01f2eaf, 0x3fde6dc704be97e2, // -0.87974, 0.47545
+ 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741
+ 0xbfec32c449f60831, 0x3fde418527dc4ffa, // -0.8812, 0.47275
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec3e9d3ee7d262, 0x3fde1530a12779f4, // -0.88264, 0.47004
+ 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869
+ 0xbfec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // -0.88408, 0.46733
+ 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598
+ 0xbfec561adceb743e, 0x3fddbc5003b2edf8, // -0.88551, 0.46462
+ 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326
+ 0xbfec61bf777fcc48, 0x3fdd8fc423c62a25, // -0.88693, 0.4619
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec6d5290341eb2, 0x3fdd632607ac9aa9, // -0.88835, 0.45918
+ 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781
+ 0xbfec78d41fe4a267, 0x3fdd3675caebf962, // -0.88975, 0.45645
+ 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508
+ 0xbfec84441f785f61, 0x3fdd09b389152ec1, // -0.89115, 0.45372
+ 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235
+ 0xbfec8fa287e13305, 0x3fdcdcdf5dc440ce, // -0.89253, 0.45098
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfec9aef521bd480, 0x3fdcaff964a0421d, // -0.89391, 0.44824
+ 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687
+ 0xbfeca62a772fd919, 0x3fdc8301b95b40c2, // -0.89528, 0.4455
+ 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412
+ 0xbfecb153f02fb87d, 0x3fdc55f877b23537, // -0.89665, 0.44275
+ 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137
+ 0xbfecbc6bb638d10b, 0x3fdc28ddbb6cf145, // -0.898, 0.43999
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfecc771c2736c09, 0x3fdbfbb1a05e0edc, // -0.89935, 0.43724
+ 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586
+ 0xbfecd2660e12c1e6, 0x3fdbce744262deee, // -0.90068, 0.43448
+ 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309
+ 0xbfecdd489254fe65, 0x3fdba125bd63583e, // -0.90201, 0.43171
+ 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033
+ 0xbfece819488344ce, 0x3fdb73c62d520624, // -0.90333, 0.42894
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfecf2d829f1b40e, 0x3fdb4655ae2bf757, // -0.90464, 0.42617
+ 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478
+ 0xbfecfd852fff6ad4, 0x3fdb18d45bf8aca6, // -0.90595, 0.42339
+ 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422
+ 0xbfed082054168bac, 0x3fdaeb4252ca07ab, // -0.90724, 0.42061
+ 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922
+ 0xbfed12a98fac410c, 0x3fdabd9faebc3980, // -0.90853, 0.41782
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed1d20dc40c15c, 0x3fda8fec8bf5b166, // -0.90981, 0.41503
+ 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364
+ 0xbfed2786335f52fc, 0x3fda622906a70b63, // -0.91107, 0.41224
+ 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084
+ 0xbfed31d98e9e503a, 0x3fda34553b0afee5, // -0.91234, 0.40944
+ 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804
+ 0xbfed3c1ae79f2b4e, 0x3fda067145664d57, // -0.91359, 0.40664
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed464a380e7242, 0x3fd9d87d4207b0ab, // -0.91483, 0.40384
+ 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243
+ 0xbfed506779a3d2d9, 0x3fd9aa794d47c9ee, // -0.91606, 0.40103
+ 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962
+ 0xbfed5a72a6221e73, 0x3fd97c6583890fc2, // -0.91729, 0.39822
+ 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681
+ 0xbfed646bb7574de5, 0x3fd94e420137bce3, // -0.91851, 0.3954
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed6e52a71c8547, 0x3fd9200ee2c9be97, // -0.91972, 0.39258
+ 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117
+ 0xbfed78276f5617c6, 0x3fd8f1cc44bea329, // -0.92092, 0.38976
+ 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835
+ 0xbfed81ea09f38b63, 0x3fd8c37a439f884f, // -0.92211, 0.38693
+ 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552
+ 0xbfed8b9a70ef9cb4, 0x3fd89518fbff098e, // -0.92329, 0.3841
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfed95389e50429b, 0x3fd866a88a792ea0, // -0.92447, 0.38127
+ 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985
+ 0xbfed9ec48c26b1f3, 0x3fd838290bb359c8, // -0.92563, 0.37843
+ 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701
+ 0xbfeda83e348f613b, 0x3fd8099a9c5c362d, // -0.92679, 0.37559
+ 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416
+ 0xbfedb1a591b20c38, 0x3fd7dafd592ba621, // -0.92794, 0.37274
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfedbafa9dc1b78d, 0x3fd7ac515ee2b172, // -0.92907, 0.36989
+ 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847
+ 0xbfedc43d52fcb453, 0x3fd77d96ca4b73a6, // -0.93021, 0.36704
+ 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561
+ 0xbfedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // -0.93133, 0.36418
+ 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276
+ 0xbfedd68ba2267a25, 0x3fd71ff6458782ec, // -0.93244, 0.36133
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfeddf9730ca837b, 0x3fd6f1108f1bc9c5, // -0.93354, 0.35846
+ 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703
+ 0xbfede890520465ce, 0x3fd6c21cb1e39771, // -0.93464, 0.3556
+ 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416
+ 0xbfedf177004b2534, 0x3fd6931acad55f51, // -0.93573, 0.35273
+ 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129
+ 0xbfedfa4b3621271d, 0x3fd6640af6f03d9e, // -0.9368, 0.34986
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee030cee1435b8, 0x3fd634ed533be58e, // -0.93787, 0.34698
+ 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554
+ 0xbfee0bbc22bd8349, 0x3fd605c1fcc88f63, // -0.93893, 0.3441
+ 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266
+ 0xbfee1458cec1ad83, 0x3fd5d68910aee686, // -0.93998, 0.34122
+ 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978
+ 0xbfee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // -0.94103, 0.33833
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee255a77a63bb8, 0x3fd577eeec151e47, // -0.94206, 0.33545
+ 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334
+ 0xbfee2dbf6a0911d9, 0x3fd5488dedeff3be, // -0.94308, 0.33255
+ 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111
+ 0xbfee3611becbaf69, 0x3fd5191fceda3c35, // -0.9441, 0.32966
+ 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821
+ 0xbfee3e5170cbfc46, 0x3fd4e9a4ac15d520, // -0.94511, 0.32676
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee467e7af35f23, 0x3fd4ba1ca2eca31c, // -0.94611, 0.32386
+ 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241
+ 0xbfee4e98d836c0af, 0x3fd48a87d0b07fd7, // -0.94709, 0.32096
+ 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195
+ 0xbfee56a083968eb1, 0x3fd45ae652bb2800, // -0.94807, 0.31805
+ 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659
+ 0xbfee5e95781ebf1c, 0x3fd42b38466e2928, // -0.94905, 0.31514
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // -0.95001, 0.31222
+ 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077
+ 0xbfee6e472911da27, 0x3fd3cbb6f87a146e, // -0.95096, 0.30931
+ 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785
+ 0xbfee7603dbce74e9, 0x3fd39be3f1bc8aef, // -0.95191, 0.30639
+ 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493
+ 0xbfee7dadc456d850, 0x3fd36c04d27a4edf, // -0.95284, 0.30347
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee8544ddf0d075, 0x3fd33c19b83af207, // -0.95377, 0.30054
+ 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908
+ 0xbfee8cc923edc388, 0x3fd30c22c08d6a13, // -0.95469, 0.29762
+ 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615
+ 0xbfee943a91aab4b4, 0x3fd2dc200907fe51, // -0.95559, 0.29469
+ 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322
+ 0xbfee9b99229046f8, 0x3fd2ac11af483572, // -0.95649, 0.29175
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeea2e4d212c000, 0x3fd27bf7d0f2c346, // -0.95738, 0.28882
+ 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735
+ 0xbfeeaa1d9bb20af3, 0x3fd24bd28bb37672, // -0.95827, 0.28588
+ 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441
+ 0xbfeeb1437af9bb34, 0x3fd21ba1fd3d2623, // -0.95914, 0.28294
+ 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146
+ 0xbfeeb8566b810f2a, 0x3fd1eb6643499fbb, // -0.96, 0.27999
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeebf5668eaf2ef, 0x3fd1bb1f7b999480, // -0.96086, 0.27705
+ 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557
+ 0xbfeec6436ee60309, 0x3fd18acdc3f4873a, // -0.9617, 0.2741
+ 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262
+ 0xbfeecd1d792c8f10, 0x3fd15a713a28b9d9, // -0.96254, 0.27115
+ 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967
+ 0xbfeed3e483849c51, 0x3fd12a09fc0b1b12, // -0.96337, 0.26819
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeeda9889bfe86a, 0x3fd0f998277733f7, // -0.96418, 0.26523
+ 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375
+ 0xbfeee13987bbebdc, 0x3fd0c91bda4f158d, // -0.96499, 0.26227
+ 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079
+ 0xbfeee7c77961dc9e, 0x3fd09895327b465e, // -0.96579, 0.25931
+ 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783
+ 0xbfeeee425aa6b09a, 0x3fd068044deab002, // -0.96658, 0.25635
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfeef4aa278b2032, 0x3fd037694a928cac, // -0.96737, 0.25338
+ 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519
+ 0xbfeefafedc1ba8b7, 0x3fd006c4466e54af, // -0.96814, 0.25041
+ 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893
+ 0xbfef014074708ed3, 0x3fcfac2abeff57ff, // -0.9689, 0.24744
+ 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596
+ 0xbfef076eecade0fa, 0x3fcf4ab9679c9f5c, // -0.96966, 0.24447
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef0d8a410379c5, 0x3fcee934c2d006c7, // -0.9704, 0.24149
+ 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24
+ 0xbfef13926dad024e, 0x3fce879d0cc0fdaf, // -0.97114, 0.23851
+ 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702
+ 0xbfef19876ef1f486, 0x3fce25f281a2b684, // -0.97187, 0.23553
+ 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404
+ 0xbfef1f6941259d7a, 0x3fcdc4355db40195, // -0.97258, 0.23255
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef2537e0a71f9f, 0x3fcd6265dd3f27e3, // -0.97329, 0.22957
+ 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807
+ 0xbfef2af349e17507, 0x3fcd00843c99c5f9, // -0.97399, 0.22658
+ 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508
+ 0xbfef309b794b719f, 0x3fcc9e90b824a6a9, // -0.97468, 0.22359
+ 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209
+ 0xbfef36306b67c556, 0x3fcc3c8b8c4b9dd7, // -0.97536, 0.2206
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef3bb21cc4fe47, 0x3fcbda74f5856330, // -0.97604, 0.2176
+ 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611
+ 0xbfef412089fd8adc, 0x3fcb784d30536cda, // -0.9767, 0.21461
+ 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311
+ 0xbfef467bafb7bbe0, 0x3fcb16147941ca2a, // -0.97735, 0.21161
+ 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011
+ 0xbfef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // -0.978, 0.20861
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef50f81785c6b9, 0x3fca517127e3dabc, // -0.97863, 0.20561
+ 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411
+ 0xbfef56195321c090, 0x3fc9ef0706e35a35, // -0.97926, 0.20261
+ 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011
+ 0xbfef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // -0.97988, 0.1996
+ 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981
+ 0xbfef6021c9f148c2, 0x3fc92a0303c8194f, // -0.98048, 0.19659
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef6508fef47bd5, 0x3fc8c7699b34ca7e, // -0.98108, 0.19359
+ 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208
+ 0xbfef69dcd652f5de, 0x3fc864c0e9b2b6cf, // -0.98167, 0.19057
+ 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907
+ 0xbfef6e9d4d1262ca, 0x3fc802092c1d744b, // -0.98225, 0.18756
+ 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606
+ 0xbfef734a60446279, 0x3fc79f429f59e11d, // -0.98282, 0.18455
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef77e40d068a90, 0x3fc73c6d8055fe0a, // -0.98339, 0.18153
+ 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002
+ 0xbfef7c6a50826840, 0x3fc6d98a0c08c8da, // -0.98394, 0.17851
+ 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177
+ 0xbfef80dd27ed8204, 0x3fc676987f7216b8, // -0.98448, 0.17549
+ 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398
+ 0xbfef853c9089595e, 0x3fc61399179a6e94, // -0.98501, 0.17247
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef898887a36c84, 0x3fc5b08c1192e381, // -0.98554, 0.16945
+ 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794
+ 0xbfef8dc10a95380d, 0x3fc54d71aa74ef02, // -0.98605, 0.16643
+ 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491
+ 0xbfef91e616c43891, 0x3fc4ea4a1f624b61, // -0.98656, 0.1634
+ 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189
+ 0xbfef95f7a9a1ec47, 0x3fc48715ad84cdf5, // -0.98706, 0.16037
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfef99f5c0abd496, 0x3fc423d4920e4166, // -0.98754, 0.15734
+ 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583
+ 0xbfef9de0596b77a3, 0x3fc3c0870a383ff6, // -0.98802, 0.15431
+ 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528
+ 0xbfefa1b7717661d5, 0x3fc35d2d53440db2, // -0.98849, 0.15128
+ 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976
+ 0xbfefa57b066e2754, 0x3fc2f9c7aa7a72af, // -0.98895, 0.14825
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefa92b1600657c, 0x3fc296564d2b953e, // -0.9894, 0.14521
+ 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437
+ 0xbfefacc79de6c44f, 0x3fc232d978aed413, // -0.98984, 0.14218
+ 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066
+ 0xbfefb0509be6f7db, 0x3fc1cf516a62a077, // -0.99027, 0.13914
+ 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762
+ 0xbfefb3c60dd2c199, 0x3fc16bbe5fac5865, // -0.9907, 0.1361
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefb727f187f1c7, 0x3fc1082095f820b0, // -0.99111, 0.13306
+ 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154
+ 0xbfefba7644f068b5, 0x3fc0a4784ab8bf1d, // -0.99151, 0.13002
+ 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285
+ 0xbfefbdb106021816, 0x3fc040c5bb67747e, // -0.99191, 0.12698
+ 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545
+ 0xbfefc0d832bf043a, 0x3fbfba124b07ad85, // -0.99229, 0.12393
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefc3ebc935454c, 0x3fbef2858d27561b, // -0.99267, 0.12089
+ 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937
+ 0xbfefc6ebc77f0887, 0x3fbe2ae5b8457f77, // -0.99303, 0.11784
+ 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632
+ 0xbfefc9d82bc2915e, 0x3fbd633347858ce4, // -0.99339, 0.11479
+ 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327
+ 0xbfefccb0f4323aa3, 0x3fbc9b6eb6165c42, // -0.99374, 0.11175
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefcf761f0c77a3, 0x3fbbd3987f31fa0e, // -0.99407, 0.1087
+ 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717
+ 0xbfefd227aa9bd53b, 0x3fbb0bb11e1d5559, // -0.9944, 0.10565
+ 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412
+ 0xbfefd4c59536fae4, 0x3fba43b90e27f3c4, // -0.99472, 0.1026
+ 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107
+ 0xbfefd74fdd40abbf, 0x3fb97bb0caaba56f, // -0.99503, 0.099544
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefd9c68127c78c, 0x3fb8b398cf0c38e0, // -0.99533, 0.09649
+ 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963
+ 0xbfefdc297f674ba9, 0x3fb7eb7196b72ee4, // -0.99563, 0.093436
+ 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909
+ 0xbfefde78d68653fd, 0x3fb7233b9d236e71, // -0.99591, 0.090381
+ 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854
+ 0xbfefe0b485181be3, 0x3fb65af75dd0f87b, // -0.99618, 0.087326
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe2dc89bbff08, 0x3fb592a554489bc8, // -0.99644, 0.084269
+ 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274
+ 0xbfefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // -0.9967, 0.081211
+ 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682
+ 0xbfefe6f18ff42c84, 0x3fb401d9d0e3a507, // -0.99694, 0.078153
+ 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624
+ 0xbfefe8de8f03d75c, 0x3fb339614e41ffa5, // -0.99718, 0.075094
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfefeab7df1c6005, 0x3fb270dcefdfc45b, // -0.9974, 0.072035
+ 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505
+ 0xbfefec7d7f19cffc, 0x3fb1a84d316d4f8a, // -0.99762, 0.068974
+ 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444
+ 0xbfefee2f6de455ba, 0x3fb0dfb28ea201e6, // -0.99783, 0.065913
+ 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383
+ 0xbfefefcdaa704562, 0x3fb0170d833bf421, // -0.99802, 0.062852
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff15833be1965, 0x3fae9cbd15ff5527, // -0.99821, 0.05979
+ 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258
+ 0xbfeff2cf08da7321, 0x3fad0b4c436f91d0, // -0.99839, 0.056727
+ 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195
+ 0xbfeff43228de1b77, 0x3fab79c986698b78, // -0.99856, 0.053664
+ 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132
+ 0xbfeff58192ee0358, 0x3fa9e835d6993c87, // -0.99872, 0.0506
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeff6bd463b444d, 0x3fa856922bb513c1, // -0.99887, 0.047535
+ 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003
+ 0xbfeff7e5420320f9, 0x3fa6c4df7d7d5b84, // -0.99901, 0.044471
+ 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938
+ 0xbfeff8f9858f058b, 0x3fa5331ec3bba0eb, // -0.99914, 0.041406
+ 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873
+ 0xbfeff9fa10348837, 0x3fa3a150f6421afc, // -0.99926, 0.03834
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffae6e1556998, 0x3fa20f770ceb11c6, // -0.99938, 0.035274
+ 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741
+ 0xbfeffbbff85f9515, 0x3fa07d91ff984580, // -0.99948, 0.032208
+ 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675
+ 0xbfeffc8554cd213a, 0x3f9dd7458c64ab39, // -0.99958, 0.029142
+ 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608
+ 0xbfeffd36f624500c, 0x3f9ab354b1504fca, // -0.99966, 0.026075
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfeffdd4dbf78f52, 0x3f978f535ddc9f03, // -0.99974, 0.023008
+ 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474
+ 0xbfeffe5f05e578db, 0x3f946b4381fce81c, // -0.9998, 0.01994
+ 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407
+ 0xbfeffed57398d2b7, 0x3f9147270dad7132, // -0.99986, 0.016873
+ 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339
+ 0xbfefff3824c88f6f, 0x3f8c45ffe1e48ad9, // -0.9999, 0.013805
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbfefff871937ce2f, 0x3f85fda037ac05e0, // -0.99994, 0.010738
+ 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038
+ 0xbfefffc250b5daef, 0x3f7f6a65f9a2a3c5, // -0.99997, 0.0076698
+ 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359
+ 0xbfefffe9cb1e2e8d, 0x3f72d97822f996bc, // -0.99999, 0.0046019
+ 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068
+ 0xbfeffffd88586ee6, 0x3f5921faaee6472d, // -1, 0.001534
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfeffffd88586ee6, 0xbf5921faaee6472d, // -1, -0.001534
+ 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068
+ 0xbfefffe9cb1e2e8d, 0xbf72d97822f996bc, // -0.99999,-0.0046019
+ 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359
+ 0xbfefffc250b5daef, 0xbf7f6a65f9a2a3c5, // -0.99997,-0.0076698
+ 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038
+ 0xbfefff871937ce2f, 0xbf85fda037ac05e0, // -0.99994, -0.010738
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272
+ 0xbfefff3824c88f6f, 0xbf8c45ffe1e48ad9, // -0.9999, -0.013805
+ 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339
+ 0xbfeffed57398d2b7, 0xbf9147270dad7132, // -0.99986, -0.016873
+ 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407
+ 0xbfeffe5f05e578db, 0xbf946b4381fce81c, // -0.9998, -0.01994
+ 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474
+ 0xbfeffdd4dbf78f52, 0xbf978f535ddc9f03, // -0.99974, -0.023008
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541
+ 0xbfeffd36f624500c, 0xbf9ab354b1504fca, // -0.99966, -0.026075
+ 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608
+ 0xbfeffc8554cd213a, 0xbf9dd7458c64ab39, // -0.99958, -0.029142
+ 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675
+ 0xbfeffbbff85f9515, 0xbfa07d91ff984580, // -0.99948, -0.032208
+ 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741
+ 0xbfeffae6e1556998, 0xbfa20f770ceb11c6, // -0.99938, -0.035274
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807
+ 0xbfeff9fa10348837, 0xbfa3a150f6421afc, // -0.99926, -0.03834
+ 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873
+ 0xbfeff8f9858f058b, 0xbfa5331ec3bba0eb, // -0.99914, -0.041406
+ 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938
+ 0xbfeff7e5420320f9, 0xbfa6c4df7d7d5b84, // -0.99901, -0.044471
+ 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003
+ 0xbfeff6bd463b444d, 0xbfa856922bb513c1, // -0.99887, -0.047535
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068
+ 0xbfeff58192ee0358, 0xbfa9e835d6993c87, // -0.99872, -0.0506
+ 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132
+ 0xbfeff43228de1b77, 0xbfab79c986698b78, // -0.99856, -0.053664
+ 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195
+ 0xbfeff2cf08da7321, 0xbfad0b4c436f91d0, // -0.99839, -0.056727
+ 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258
+ 0xbfeff15833be1965, 0xbfae9cbd15ff5527, // -0.99821, -0.05979
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321
+ 0xbfefefcdaa704562, 0xbfb0170d833bf421, // -0.99802, -0.062852
+ 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383
+ 0xbfefee2f6de455ba, 0xbfb0dfb28ea201e6, // -0.99783, -0.065913
+ 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444
+ 0xbfefec7d7f19cffc, 0xbfb1a84d316d4f8a, // -0.99762, -0.068974
+ 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505
+ 0xbfefeab7df1c6005, 0xbfb270dcefdfc45b, // -0.9974, -0.072035
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565
+ 0xbfefe8de8f03d75c, 0xbfb339614e41ffa5, // -0.99718, -0.075094
+ 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624
+ 0xbfefe6f18ff42c84, 0xbfb401d9d0e3a507, // -0.99694, -0.078153
+ 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682
+ 0xbfefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // -0.9967, -0.081211
+ 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274
+ 0xbfefe2dc89bbff08, 0xbfb592a554489bc8, // -0.99644, -0.084269
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797
+ 0xbfefe0b485181be3, 0xbfb65af75dd0f87b, // -0.99618, -0.087326
+ 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854
+ 0xbfefde78d68653fd, 0xbfb7233b9d236e71, // -0.99591, -0.090381
+ 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909
+ 0xbfefdc297f674ba9, 0xbfb7eb7196b72ee4, // -0.99563, -0.093436
+ 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963
+ 0xbfefd9c68127c78c, 0xbfb8b398cf0c38e0, // -0.99533, -0.09649
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017
+ 0xbfefd74fdd40abbf, 0xbfb97bb0caaba56f, // -0.99503, -0.099544
+ 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107
+ 0xbfefd4c59536fae4, 0xbfba43b90e27f3c4, // -0.99472, -0.1026
+ 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412
+ 0xbfefd227aa9bd53b, 0xbfbb0bb11e1d5559, // -0.9944, -0.10565
+ 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717
+ 0xbfefcf761f0c77a3, 0xbfbbd3987f31fa0e, // -0.99407, -0.1087
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefccb0f4323aa3, 0xbfbc9b6eb6165c42, // -0.99374, -0.11175
+ 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327
+ 0xbfefc9d82bc2915e, 0xbfbd633347858ce4, // -0.99339, -0.11479
+ 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632
+ 0xbfefc6ebc77f0887, 0xbfbe2ae5b8457f77, // -0.99303, -0.11784
+ 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937
+ 0xbfefc3ebc935454c, 0xbfbef2858d27561b, // -0.99267, -0.12089
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefc0d832bf043a, 0xbfbfba124b07ad85, // -0.99229, -0.12393
+ 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545
+ 0xbfefbdb106021816, 0xbfc040c5bb67747e, // -0.99191, -0.12698
+ 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285
+ 0xbfefba7644f068b5, 0xbfc0a4784ab8bf1d, // -0.99151, -0.13002
+ 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154
+ 0xbfefb727f187f1c7, 0xbfc1082095f820b0, // -0.99111, -0.13306
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefb3c60dd2c199, 0xbfc16bbe5fac5865, // -0.9907, -0.1361
+ 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762
+ 0xbfefb0509be6f7db, 0xbfc1cf516a62a077, // -0.99027, -0.13914
+ 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066
+ 0xbfefacc79de6c44f, 0xbfc232d978aed413, // -0.98984, -0.14218
+ 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437
+ 0xbfefa92b1600657c, 0xbfc296564d2b953e, // -0.9894, -0.14521
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfefa57b066e2754, 0xbfc2f9c7aa7a72af, // -0.98895, -0.14825
+ 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976
+ 0xbfefa1b7717661d5, 0xbfc35d2d53440db2, // -0.98849, -0.15128
+ 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528
+ 0xbfef9de0596b77a3, 0xbfc3c0870a383ff6, // -0.98802, -0.15431
+ 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583
+ 0xbfef99f5c0abd496, 0xbfc423d4920e4166, // -0.98754, -0.15734
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef95f7a9a1ec47, 0xbfc48715ad84cdf5, // -0.98706, -0.16037
+ 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189
+ 0xbfef91e616c43891, 0xbfc4ea4a1f624b61, // -0.98656, -0.1634
+ 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491
+ 0xbfef8dc10a95380d, 0xbfc54d71aa74ef02, // -0.98605, -0.16643
+ 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794
+ 0xbfef898887a36c84, 0xbfc5b08c1192e381, // -0.98554, -0.16945
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef853c9089595e, 0xbfc61399179a6e94, // -0.98501, -0.17247
+ 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398
+ 0xbfef80dd27ed8204, 0xbfc676987f7216b8, // -0.98448, -0.17549
+ 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177
+ 0xbfef7c6a50826840, 0xbfc6d98a0c08c8da, // -0.98394, -0.17851
+ 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002
+ 0xbfef77e40d068a90, 0xbfc73c6d8055fe0a, // -0.98339, -0.18153
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef734a60446279, 0xbfc79f429f59e11d, // -0.98282, -0.18455
+ 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606
+ 0xbfef6e9d4d1262ca, 0xbfc802092c1d744b, // -0.98225, -0.18756
+ 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907
+ 0xbfef69dcd652f5de, 0xbfc864c0e9b2b6cf, // -0.98167, -0.19057
+ 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208
+ 0xbfef6508fef47bd5, 0xbfc8c7699b34ca7e, // -0.98108, -0.19359
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef6021c9f148c2, 0xbfc92a0303c8194f, // -0.98048, -0.19659
+ 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981
+ 0xbfef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // -0.97988, -0.1996
+ 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011
+ 0xbfef56195321c090, 0xbfc9ef0706e35a35, // -0.97926, -0.20261
+ 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411
+ 0xbfef50f81785c6b9, 0xbfca517127e3dabc, // -0.97863, -0.20561
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // -0.978, -0.20861
+ 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011
+ 0xbfef467bafb7bbe0, 0xbfcb16147941ca2a, // -0.97735, -0.21161
+ 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311
+ 0xbfef412089fd8adc, 0xbfcb784d30536cda, // -0.9767, -0.21461
+ 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611
+ 0xbfef3bb21cc4fe47, 0xbfcbda74f5856330, // -0.97604, -0.2176
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef36306b67c556, 0xbfcc3c8b8c4b9dd7, // -0.97536, -0.2206
+ 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209
+ 0xbfef309b794b719f, 0xbfcc9e90b824a6a9, // -0.97468, -0.22359
+ 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508
+ 0xbfef2af349e17507, 0xbfcd00843c99c5f9, // -0.97399, -0.22658
+ 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807
+ 0xbfef2537e0a71f9f, 0xbfcd6265dd3f27e3, // -0.97329, -0.22957
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef1f6941259d7a, 0xbfcdc4355db40195, // -0.97258, -0.23255
+ 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404
+ 0xbfef19876ef1f486, 0xbfce25f281a2b684, // -0.97187, -0.23553
+ 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702
+ 0xbfef13926dad024e, 0xbfce879d0cc0fdaf, // -0.97114, -0.23851
+ 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24
+ 0xbfef0d8a410379c5, 0xbfcee934c2d006c7, // -0.9704, -0.24149
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfef076eecade0fa, 0xbfcf4ab9679c9f5c, // -0.96966, -0.24447
+ 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596
+ 0xbfef014074708ed3, 0xbfcfac2abeff57ff, // -0.9689, -0.24744
+ 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893
+ 0xbfeefafedc1ba8b7, 0xbfd006c4466e54af, // -0.96814, -0.25041
+ 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519
+ 0xbfeef4aa278b2032, 0xbfd037694a928cac, // -0.96737, -0.25338
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeeee425aa6b09a, 0xbfd068044deab002, // -0.96658, -0.25635
+ 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783
+ 0xbfeee7c77961dc9e, 0xbfd09895327b465e, // -0.96579, -0.25931
+ 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079
+ 0xbfeee13987bbebdc, 0xbfd0c91bda4f158d, // -0.96499, -0.26227
+ 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375
+ 0xbfeeda9889bfe86a, 0xbfd0f998277733f7, // -0.96418, -0.26523
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeed3e483849c51, 0xbfd12a09fc0b1b12, // -0.96337, -0.26819
+ 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967
+ 0xbfeecd1d792c8f10, 0xbfd15a713a28b9d9, // -0.96254, -0.27115
+ 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262
+ 0xbfeec6436ee60309, 0xbfd18acdc3f4873a, // -0.9617, -0.2741
+ 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557
+ 0xbfeebf5668eaf2ef, 0xbfd1bb1f7b999480, // -0.96086, -0.27705
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfeeb8566b810f2a, 0xbfd1eb6643499fbb, // -0.96, -0.27999
+ 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146
+ 0xbfeeb1437af9bb34, 0xbfd21ba1fd3d2623, // -0.95914, -0.28294
+ 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441
+ 0xbfeeaa1d9bb20af3, 0xbfd24bd28bb37672, // -0.95827, -0.28588
+ 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735
+ 0xbfeea2e4d212c000, 0xbfd27bf7d0f2c346, // -0.95738, -0.28882
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee9b99229046f8, 0xbfd2ac11af483572, // -0.95649, -0.29175
+ 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322
+ 0xbfee943a91aab4b4, 0xbfd2dc200907fe51, // -0.95559, -0.29469
+ 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615
+ 0xbfee8cc923edc388, 0xbfd30c22c08d6a13, // -0.95469, -0.29762
+ 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908
+ 0xbfee8544ddf0d075, 0xbfd33c19b83af207, // -0.95377, -0.30054
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee7dadc456d850, 0xbfd36c04d27a4edf, // -0.95284, -0.30347
+ 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493
+ 0xbfee7603dbce74e9, 0xbfd39be3f1bc8aef, // -0.95191, -0.30639
+ 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785
+ 0xbfee6e472911da27, 0xbfd3cbb6f87a146e, // -0.95096, -0.30931
+ 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077
+ 0xbfee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // -0.95001, -0.31222
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee5e95781ebf1c, 0xbfd42b38466e2928, // -0.94905, -0.31514
+ 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659
+ 0xbfee56a083968eb1, 0xbfd45ae652bb2800, // -0.94807, -0.31805
+ 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195
+ 0xbfee4e98d836c0af, 0xbfd48a87d0b07fd7, // -0.94709, -0.32096
+ 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241
+ 0xbfee467e7af35f23, 0xbfd4ba1ca2eca31c, // -0.94611, -0.32386
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee3e5170cbfc46, 0xbfd4e9a4ac15d520, // -0.94511, -0.32676
+ 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821
+ 0xbfee3611becbaf69, 0xbfd5191fceda3c35, // -0.9441, -0.32966
+ 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111
+ 0xbfee2dbf6a0911d9, 0xbfd5488dedeff3be, // -0.94308, -0.33255
+ 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334
+ 0xbfee255a77a63bb8, 0xbfd577eeec151e47, // -0.94206, -0.33545
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // -0.94103, -0.33833
+ 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978
+ 0xbfee1458cec1ad83, 0xbfd5d68910aee686, // -0.93998, -0.34122
+ 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266
+ 0xbfee0bbc22bd8349, 0xbfd605c1fcc88f63, // -0.93893, -0.3441
+ 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554
+ 0xbfee030cee1435b8, 0xbfd634ed533be58e, // -0.93787, -0.34698
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfedfa4b3621271d, 0xbfd6640af6f03d9e, // -0.9368, -0.34986
+ 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129
+ 0xbfedf177004b2534, 0xbfd6931acad55f51, // -0.93573, -0.35273
+ 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416
+ 0xbfede890520465ce, 0xbfd6c21cb1e39771, // -0.93464, -0.3556
+ 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703
+ 0xbfeddf9730ca837b, 0xbfd6f1108f1bc9c5, // -0.93354, -0.35846
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedd68ba2267a25, 0xbfd71ff6458782ec, // -0.93244, -0.36133
+ 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276
+ 0xbfedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // -0.93133, -0.36418
+ 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561
+ 0xbfedc43d52fcb453, 0xbfd77d96ca4b73a6, // -0.93021, -0.36704
+ 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847
+ 0xbfedbafa9dc1b78d, 0xbfd7ac515ee2b172, // -0.92907, -0.36989
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfedb1a591b20c38, 0xbfd7dafd592ba621, // -0.92794, -0.37274
+ 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416
+ 0xbfeda83e348f613b, 0xbfd8099a9c5c362d, // -0.92679, -0.37559
+ 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701
+ 0xbfed9ec48c26b1f3, 0xbfd838290bb359c8, // -0.92563, -0.37843
+ 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985
+ 0xbfed95389e50429b, 0xbfd866a88a792ea0, // -0.92447, -0.38127
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed8b9a70ef9cb4, 0xbfd89518fbff098e, // -0.92329, -0.3841
+ 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552
+ 0xbfed81ea09f38b63, 0xbfd8c37a439f884f, // -0.92211, -0.38693
+ 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835
+ 0xbfed78276f5617c6, 0xbfd8f1cc44bea329, // -0.92092, -0.38976
+ 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117
+ 0xbfed6e52a71c8547, 0xbfd9200ee2c9be97, // -0.91972, -0.39258
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed646bb7574de5, 0xbfd94e420137bce3, // -0.91851, -0.3954
+ 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681
+ 0xbfed5a72a6221e73, 0xbfd97c6583890fc2, // -0.91729, -0.39822
+ 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962
+ 0xbfed506779a3d2d9, 0xbfd9aa794d47c9ee, // -0.91606, -0.40103
+ 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243
+ 0xbfed464a380e7242, 0xbfd9d87d4207b0ab, // -0.91483, -0.40384
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed3c1ae79f2b4e, 0xbfda067145664d57, // -0.91359, -0.40664
+ 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804
+ 0xbfed31d98e9e503a, 0xbfda34553b0afee5, // -0.91234, -0.40944
+ 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084
+ 0xbfed2786335f52fc, 0xbfda622906a70b63, // -0.91107, -0.41224
+ 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364
+ 0xbfed1d20dc40c15c, 0xbfda8fec8bf5b166, // -0.90981, -0.41503
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfed12a98fac410c, 0xbfdabd9faebc3980, // -0.90853, -0.41782
+ 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922
+ 0xbfed082054168bac, 0xbfdaeb4252ca07ab, // -0.90724, -0.42061
+ 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422
+ 0xbfecfd852fff6ad4, 0xbfdb18d45bf8aca6, // -0.90595, -0.42339
+ 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478
+ 0xbfecf2d829f1b40e, 0xbfdb4655ae2bf757, // -0.90464, -0.42617
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfece819488344ce, 0xbfdb73c62d520624, // -0.90333, -0.42894
+ 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033
+ 0xbfecdd489254fe65, 0xbfdba125bd63583e, // -0.90201, -0.43171
+ 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309
+ 0xbfecd2660e12c1e6, 0xbfdbce744262deee, // -0.90068, -0.43448
+ 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586
+ 0xbfecc771c2736c09, 0xbfdbfbb1a05e0edc, // -0.89935, -0.43724
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfecbc6bb638d10b, 0xbfdc28ddbb6cf145, // -0.898, -0.43999
+ 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137
+ 0xbfecb153f02fb87d, 0xbfdc55f877b23537, // -0.89665, -0.44275
+ 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412
+ 0xbfeca62a772fd919, 0xbfdc8301b95b40c2, // -0.89528, -0.4455
+ 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687
+ 0xbfec9aef521bd480, 0xbfdcaff964a0421d, // -0.89391, -0.44824
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec8fa287e13305, 0xbfdcdcdf5dc440ce, // -0.89253, -0.45098
+ 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235
+ 0xbfec84441f785f61, 0xbfdd09b389152ec1, // -0.89115, -0.45372
+ 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508
+ 0xbfec78d41fe4a267, 0xbfdd3675caebf962, // -0.88975, -0.45645
+ 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781
+ 0xbfec6d5290341eb2, 0xbfdd632607ac9aa9, // -0.88835, -0.45918
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec61bf777fcc48, 0xbfdd8fc423c62a25, // -0.88693, -0.4619
+ 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326
+ 0xbfec561adceb743e, 0xbfddbc5003b2edf8, // -0.88551, -0.46462
+ 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598
+ 0xbfec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // -0.88408, -0.46733
+ 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869
+ 0xbfec3e9d3ee7d262, 0xbfde1530a12779f4, // -0.88264, -0.47004
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec32c449f60831, 0xbfde418527dc4ffa, // -0.8812, -0.47275
+ 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741
+ 0xbfec26d9f01f2eaf, 0xbfde6dc704be97e2, // -0.87974, -0.47545
+ 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768
+ 0xbfec1ade38bce19b, 0xbfde99f61c817eda, // -0.87828, -0.47815
+ 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949
+ 0xbfec0ed12b3372e9, 0xbfdec61253e3c61b, // -0.87681, -0.48084
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfec02b2cef1e641, 0xbfdef21b8fafd3b5, // -0.87533, -0.48353
+ 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487
+ 0xbfebf6832b71ec5b, 0xbfdf1e11b4bbc35c, // -0.87384, -0.48621
+ 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755
+ 0xbfebea424837de6d, 0xbfdf49f4a7e97729, // -0.87235, -0.48889
+ 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023
+ 0xbfebddf02cd2b983, 0xbfdf75c44e26a852, // -0.87084, -0.49156
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfebd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // -0.86933, -0.49423
+ 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557
+ 0xbfebc5186bf8361d, 0xbfdfcd2947c1ff57, // -0.86781, -0.4969
+ 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823
+ 0xbfebb892d5d5dad5, 0xbfdff8be6537615e, // -0.86628, -0.49956
+ 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089
+ 0xbfebabfc262e6586, 0xbfe0121fe4f56d2c, // -0.86474, -0.50221
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb9f5464c5bffc, 0xbfe027d6ad83287e, // -0.8632, -0.50486
+ 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619
+ 0xbfeb929b996a5b7f, 0xbfe03d837edff370, // -0.86165, -0.50751
+ 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883
+ 0xbfeb85d1cbf52c02, 0xbfe053264bad0483, // -0.86009, -0.51015
+ 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147
+ 0xbfeb78f70449a34b, 0xbfe068bf0691c028, // -0.85852, -0.51279
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb6c0b4a55ac17, 0xbfe07e4da23bc102, // -0.85694, -0.51542
+ 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673
+ 0xbfeb5f0ea611a532, 0xbfe093d2115ee018, // -0.85535, -0.51804
+ 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936
+ 0xbfeb52011f805c92, 0xbfe0a94c46b53d0b, // -0.85376, -0.52067
+ 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198
+ 0xbfeb44e2beaf0a61, 0xbfe0bebc34ff4646, // -0.85216, -0.52328
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb37b38bb54c09, 0xbfe0d421cf03c12b, // -0.85055, -0.5259
+ 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272
+ 0xbfeb2a738eb51f33, 0xbfe0e97d078fd23b, // -0.84893, -0.5285
+ 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298
+ 0xbfeb1d22cfdadcc6, 0xbfe0fecdd1770537, // -0.84731, -0.5311
+ 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324
+ 0xbfeb0fc1575d33db, 0xbfe114141f935545, // -0.84567, -0.5337
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfeb024f2d7d24a9, 0xbfe1294fe4c5350a, // -0.84403, -0.53629
+ 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759
+ 0xbfeaf4cc5a85fb73, 0xbfe13e8113f396c1, // -0.84238, -0.53888
+ 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017
+ 0xbfeae738e6cd4b67, 0xbfe153a7a00bf453, // -0.84073, -0.54146
+ 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275
+ 0xbfead994dab2e979, 0xbfe168c37c025764, // -0.83906, -0.54404
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfeacbe03ea0e73b, 0xbfe17dd49ad16161, // -0.83739, -0.54661
+ 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789
+ 0xbfeabe1b1b0b8dac, 0xbfe192daef7a5386, // -0.83571, -0.54918
+ 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046
+ 0xbfeab045787157ff, 0xbfe1a7d66d0516e6, // -0.83402, -0.55174
+ 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302
+ 0xbfeaa25f5f5aee60, 0xbfe1bcc706804467, // -0.83232, -0.55429
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea9468d85b20ae, 0xbfe1d1acaf012cc2, // -0.83062, -0.55685
+ 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812
+ 0xbfea8661ec0ee133, 0xbfe1e68759a3e074, // -0.8289, -0.55939
+ 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066
+ 0xbfea784aa31d3f55, 0xbfe1fb56f98b37b8, // -0.82718, -0.56193
+ 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632
+ 0xbfea6a230637623b, 0xbfe2101b81e0da78, // -0.82546, -0.56447
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea5beb1e188375, 0xbfe224d4e5d5482e, // -0.82372, -0.567
+ 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826
+ 0xbfea4da2f385e997, 0xbfe23983189fdfd5, // -0.82198, -0.56952
+ 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078
+ 0xbfea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // -0.82023, -0.57204
+ 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733
+ 0xbfea30e1fa4cbf81, 0xbfe262bdb7b795a2, // -0.81847, -0.57455
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfea22693d62ccb9, 0xbfe2774a0a961612, // -0.8167, -0.57706
+ 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831
+ 0xbfea13e0617e4ec7, 0xbfe28bcaf96d94ba, // -0.81493, -0.57956
+ 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081
+ 0xbfea05476f967bb5, 0xbfe2a040779843fb, // -0.81314, -0.58206
+ 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331
+ 0xbfe9f69e70ac75bc, 0xbfe2b4aa787764c4, // -0.81135, -0.58455
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9e7e56dcb45bd, 0xbfe2c908ef734e57, // -0.80956, -0.58704
+ 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828
+ 0xbfe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // -0.80775, -0.58952
+ 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076
+ 0xbfe9ca438080eadb, 0xbfe2f1a30d86773a, // -0.80594, -0.592
+ 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323
+ 0xbfe9bb5aa85f2098, 0xbfe305de9b921a94, // -0.80412, -0.59447
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe9ac61f0d4e247, 0xbfe31a0e6da35e44, // -0.80229, -0.59693
+ 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816
+ 0xbfe99d59631e65d5, 0xbfe32e3277467d6b, // -0.80046, -0.59939
+ 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062
+ 0xbfe98e410881a600, 0xbfe3424aac0ef7d6, // -0.79861, -0.60184
+ 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307
+ 0xbfe97f18ea4e5c9e, 0xbfe35656ff9799ae, // -0.79676, -0.60429
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe96fe111ddfce0, 0xbfe36a576582831b, // -0.79491, -0.60673
+ 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795
+ 0xbfe960998893ad8c, 0xbfe37e4bd1792fe2, // -0.79304, -0.60917
+ 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038
+ 0xbfe9514257dc4335, 0xbfe39234372c7f04, // -0.79117, -0.6116
+ 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281
+ 0xbfe941db892e3a65, 0xbfe3a6108a54ba58, // -0.78929, -0.61402
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe932652609b1cf, 0xbfe3b9e0beb19e18, // -0.7874, -0.61644
+ 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765
+ 0xbfe922df37f8646a, 0xbfe3cda4c80a6076, // -0.78551, -0.61885
+ 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006
+ 0xbfe91349c88da398, 0xbfe3e15c9a2db922, // -0.7836, -0.62126
+ 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246
+ 0xbfe903a4e1665133, 0xbfe3f50828f1e8d2, // -0.78169, -0.62366
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8f3f08c28d9ac, 0xbfe408a76834c0c0, // -0.77978, -0.62606
+ 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725
+ 0xbfe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // -0.77785, -0.62845
+ 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964
+ 0xbfe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // -0.77592, -0.63083
+ 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202
+ 0xbfe8c47758fa71cb, 0xbfe4433ad0117b1d, // -0.77398, -0.63321
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe8b485aca2a468, 0xbfe456a858917046, // -0.77204, -0.63558
+ 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676
+ 0xbfe8a484c3031d50, 0xbfe46a095557a0f1, // -0.77008, -0.63794
+ 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912
+ 0xbfe89474a5fb0a84, 0xbfe47d5dba6fde01, // -0.76812, -0.6403
+ 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148
+ 0xbfe884555f72fa6b, 0xbfe490a57bedbcdf, // -0.76615, -0.64266
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // -0.76418, -0.645
+ 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618
+ 0xbfe863e97db3d95a, 0xbfe4b70ee48fb869, // -0.7622, -0.64735
+ 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851
+ 0xbfe8539cf67c9029, 0xbfe4ca30740218a3, // -0.76021, -0.64968
+ 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085
+ 0xbfe843416dc4cce2, 0xbfe4dd453076b064, // -0.75821, -0.65201
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // -0.75621, -0.65433
+ 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549
+ 0xbfe8225d803964e5, 0xbfe503480159ded2, // -0.75419, -0.65665
+ 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781
+ 0xbfe811d52faf94dc, 0xbfe51635fe5601d7, // -0.75218, -0.65896
+ 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011
+ 0xbfe8013e0638e795, 0xbfe52916f96f8388, // -0.75015, -0.66127
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7f0980e113978, 0xbfe53beae7012abe, // -0.74812, -0.66356
+ 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471
+ 0xbfe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // -0.74608, -0.66586
+ 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667
+ 0xbfe7cf1fdacbf179, 0xbfe5616b6b204e6e, // -0.74403, -0.66814
+ 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928
+ 0xbfe7be4db453a27c, 0xbfe57417ea8bb75c, // -0.74198, -0.67042
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // -0.73992, -0.67269
+ 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383
+ 0xbfe79c7d8198e56e, 0xbfe599492a81ffbc, // -0.73785, -0.67496
+ 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609
+ 0xbfe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // -0.73578, -0.67722
+ 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835
+ 0xbfe77a730cbb9100, 0xbfe5be451f8bf980, // -0.7337, -0.67948
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe7695813b9b594, 0xbfe5d0af016ed1d4, // -0.73161, -0.68172
+ 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285
+ 0xbfe7582ea9b9a329, 0xbfe5e30b6e6877f3, // -0.72951, -0.68397
+ 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508
+ 0xbfe746f6d9516d59, 0xbfe5f55a5b2576f8, // -0.72741, -0.6862
+ 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732
+ 0xbfe735b0ad2009b2, 0xbfe6079bbc5aadfa, // -0.7253, -0.68843
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe7245c2fcd492a, 0xbfe619cf86c55702, // -0.72319, -0.69065
+ 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176
+ 0xbfe712f96c09d18d, 0xbfe62bf5af2b0dfd, // -0.72107, -0.69287
+ 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397
+ 0xbfe701886c8f16e6, 0xbfe63e0e2a59d7aa, // -0.71894, -0.69508
+ 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618
+ 0xbfe6f0093c1f54de, 0xbfe65018ed28287f, // -0.7168, -0.69728
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6de7be585881d, 0xbfe66215ec74eb91, // -0.71466, -0.69947
+ 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057
+ 0xbfe6cce07395679f, 0xbfe674051d27896c, // -0.71251, -0.70166
+ 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275
+ 0xbfe6bb36f12b5e06, 0xbfe685e6742feeef, // -0.71035, -0.70385
+ 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493
+ 0xbfe6a97f692c82ea, 0xbfe697b9e686941c, // -0.70819, -0.70602
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe697b9e686941c, 0xbfe6a97f692c82ea, // -0.70602, -0.70819
+ 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927
+ 0xbfe685e6742feeef, 0xbfe6bb36f12b5e06, // -0.70385, -0.71035
+ 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143
+ 0xbfe674051d27896c, 0xbfe6cce07395679f, // -0.70166, -0.71251
+ 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358
+ 0xbfe66215ec74eb91, 0xbfe6de7be585881d, // -0.69947, -0.71466
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe65018ed28287f, 0xbfe6f0093c1f54de, // -0.69728, -0.7168
+ 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787
+ 0xbfe63e0e2a59d7aa, 0xbfe701886c8f16e6, // -0.69508, -0.71894
+ 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72
+ 0xbfe62bf5af2b0dfd, 0xbfe712f96c09d18d, // -0.69287, -0.72107
+ 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213
+ 0xbfe619cf86c55702, 0xbfe7245c2fcd492a, // -0.69065, -0.72319
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe6079bbc5aadfa, 0xbfe735b0ad2009b2, // -0.68843, -0.7253
+ 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636
+ 0xbfe5f55a5b2576f8, 0xbfe746f6d9516d59, // -0.6862, -0.72741
+ 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846
+ 0xbfe5e30b6e6877f3, 0xbfe7582ea9b9a329, // -0.68397, -0.72951
+ 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056
+ 0xbfe5d0af016ed1d4, 0xbfe7695813b9b594, // -0.68172, -0.73161
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe5be451f8bf980, 0xbfe77a730cbb9100, // -0.67948, -0.7337
+ 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474
+ 0xbfe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // -0.67722, -0.73578
+ 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682
+ 0xbfe599492a81ffbc, 0xbfe79c7d8198e56e, // -0.67496, -0.73785
+ 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889
+ 0xbfe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // -0.67269, -0.73992
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe57417ea8bb75c, 0xbfe7be4db453a27c, // -0.67042, -0.74198
+ 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301
+ 0xbfe5616b6b204e6e, 0xbfe7cf1fdacbf179, // -0.66814, -0.74403
+ 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506
+ 0xbfe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // -0.66586, -0.74608
+ 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471
+ 0xbfe53beae7012abe, 0xbfe7f0980e113978, // -0.66356, -0.74812
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe52916f96f8388, 0xbfe8013e0638e795, // -0.66127, -0.75015
+ 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117
+ 0xbfe51635fe5601d7, 0xbfe811d52faf94dc, // -0.65896, -0.75218
+ 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319
+ 0xbfe503480159ded2, 0xbfe8225d803964e5, // -0.65665, -0.75419
+ 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552
+ 0xbfe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // -0.65433, -0.75621
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe4dd453076b064, 0xbfe843416dc4cce2, // -0.65201, -0.75821
+ 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921
+ 0xbfe4ca30740218a3, 0xbfe8539cf67c9029, // -0.64968, -0.76021
+ 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612
+ 0xbfe4b70ee48fb869, 0xbfe863e97db3d95a, // -0.64735, -0.7622
+ 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319
+ 0xbfe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // -0.645, -0.76418
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe490a57bedbcdf, 0xbfe884555f72fa6b, // -0.64266, -0.76615
+ 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714
+ 0xbfe47d5dba6fde01, 0xbfe89474a5fb0a84, // -0.6403, -0.76812
+ 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691
+ 0xbfe46a095557a0f1, 0xbfe8a484c3031d50, // -0.63794, -0.77008
+ 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106
+ 0xbfe456a858917046, 0xbfe8b485aca2a468, // -0.63558, -0.77204
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe4433ad0117b1d, 0xbfe8c47758fa71cb, // -0.63321, -0.77398
+ 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495
+ 0xbfe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // -0.63083, -0.77592
+ 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689
+ 0xbfe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // -0.62845, -0.77785
+ 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882
+ 0xbfe408a76834c0c0, 0xbfe8f3f08c28d9ac, // -0.62606, -0.77978
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3f50828f1e8d2, 0xbfe903a4e1665133, // -0.62366, -0.78169
+ 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265
+ 0xbfe3e15c9a2db922, 0xbfe91349c88da398, // -0.62126, -0.7836
+ 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456
+ 0xbfe3cda4c80a6076, 0xbfe922df37f8646a, // -0.61885, -0.78551
+ 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646
+ 0xbfe3b9e0beb19e18, 0xbfe932652609b1cf, // -0.61644, -0.7874
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe3a6108a54ba58, 0xbfe941db892e3a65, // -0.61402, -0.78929
+ 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023
+ 0xbfe39234372c7f04, 0xbfe9514257dc4335, // -0.6116, -0.79117
+ 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211
+ 0xbfe37e4bd1792fe2, 0xbfe960998893ad8c, // -0.60917, -0.79304
+ 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398
+ 0xbfe36a576582831b, 0xbfe96fe111ddfce0, // -0.60673, -0.79491
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe35656ff9799ae, 0xbfe97f18ea4e5c9e, // -0.60429, -0.79676
+ 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769
+ 0xbfe3424aac0ef7d6, 0xbfe98e410881a600, // -0.60184, -0.79861
+ 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954
+ 0xbfe32e3277467d6b, 0xbfe99d59631e65d5, // -0.59939, -0.80046
+ 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138
+ 0xbfe31a0e6da35e44, 0xbfe9ac61f0d4e247, // -0.59693, -0.80229
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe305de9b921a94, 0xbfe9bb5aa85f2098, // -0.59447, -0.80412
+ 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503
+ 0xbfe2f1a30d86773a, 0xbfe9ca438080eadb, // -0.592, -0.80594
+ 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685
+ 0xbfe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // -0.58952, -0.80775
+ 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866
+ 0xbfe2c908ef734e57, 0xbfe9e7e56dcb45bd, // -0.58704, -0.80956
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe2b4aa787764c4, 0xbfe9f69e70ac75bc, // -0.58455, -0.81135
+ 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225
+ 0xbfe2a040779843fb, 0xbfea05476f967bb5, // -0.58206, -0.81314
+ 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404
+ 0xbfe28bcaf96d94ba, 0xbfea13e0617e4ec7, // -0.57956, -0.81493
+ 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581
+ 0xbfe2774a0a961612, 0xbfea22693d62ccb9, // -0.57706, -0.8167
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe262bdb7b795a2, 0xbfea30e1fa4cbf81, // -0.57455, -0.81847
+ 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935
+ 0xbfe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // -0.57204, -0.82023
+ 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211
+ 0xbfe23983189fdfd5, 0xbfea4da2f385e997, // -0.56952, -0.82198
+ 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285
+ 0xbfe224d4e5d5482e, 0xbfea5beb1e188375, // -0.567, -0.82372
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe2101b81e0da78, 0xbfea6a230637623b, // -0.56447, -0.82546
+ 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632
+ 0xbfe1fb56f98b37b8, 0xbfea784aa31d3f55, // -0.56193, -0.82718
+ 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805
+ 0xbfe1e68759a3e074, 0xbfea8661ec0ee133, // -0.55939, -0.8289
+ 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976
+ 0xbfe1d1acaf012cc2, 0xbfea9468d85b20ae, // -0.55685, -0.83062
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe1bcc706804467, 0xbfeaa25f5f5aee60, // -0.55429, -0.83232
+ 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317
+ 0xbfe1a7d66d0516e6, 0xbfeab045787157ff, // -0.55174, -0.83402
+ 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486
+ 0xbfe192daef7a5386, 0xbfeabe1b1b0b8dac, // -0.54918, -0.83571
+ 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655
+ 0xbfe17dd49ad16161, 0xbfeacbe03ea0e73b, // -0.54661, -0.83739
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe168c37c025764, 0xbfead994dab2e979, // -0.54404, -0.83906
+ 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989
+ 0xbfe153a7a00bf453, 0xbfeae738e6cd4b67, // -0.54146, -0.84073
+ 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155
+ 0xbfe13e8113f396c1, 0xbfeaf4cc5a85fb73, // -0.53888, -0.84238
+ 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321
+ 0xbfe1294fe4c5350a, 0xbfeb024f2d7d24a9, // -0.53629, -0.84403
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe114141f935545, 0xbfeb0fc1575d33db, // -0.5337, -0.84567
+ 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649
+ 0xbfe0fecdd1770537, 0xbfeb1d22cfdadcc6, // -0.5311, -0.84731
+ 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812
+ 0xbfe0e97d078fd23b, 0xbfeb2a738eb51f33, // -0.5285, -0.84893
+ 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974
+ 0xbfe0d421cf03c12b, 0xbfeb37b38bb54c09, // -0.5259, -0.85055
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe0bebc34ff4646, 0xbfeb44e2beaf0a61, // -0.52328, -0.85216
+ 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296
+ 0xbfe0a94c46b53d0b, 0xbfeb52011f805c92, // -0.52067, -0.85376
+ 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456
+ 0xbfe093d2115ee018, 0xbfeb5f0ea611a532, // -0.51804, -0.85535
+ 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615
+ 0xbfe07e4da23bc102, 0xbfeb6c0b4a55ac17, // -0.51542, -0.85694
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe068bf0691c028, 0xbfeb78f70449a34b, // -0.51279, -0.85852
+ 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593
+ 0xbfe053264bad0483, 0xbfeb85d1cbf52c02, // -0.51015, -0.86009
+ 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087
+ 0xbfe03d837edff370, 0xbfeb929b996a5b7f, // -0.50751, -0.86165
+ 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242
+ 0xbfe027d6ad83287e, 0xbfeb9f5464c5bffc, // -0.50486, -0.8632
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfe0121fe4f56d2c, 0xbfebabfc262e6586, // -0.50221, -0.86474
+ 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551
+ 0xbfdff8be6537615e, 0xbfebb892d5d5dad5, // -0.49956, -0.86628
+ 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705
+ 0xbfdfcd2947c1ff57, 0xbfebc5186bf8361d, // -0.4969, -0.86781
+ 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857
+ 0xbfdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // -0.49423, -0.86933
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdf75c44e26a852, 0xbfebddf02cd2b983, // -0.49156, -0.87084
+ 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716
+ 0xbfdf49f4a7e97729, 0xbfebea424837de6d, // -0.48889, -0.87235
+ 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309
+ 0xbfdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // -0.48621, -0.87384
+ 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459
+ 0xbfdef21b8fafd3b5, 0xbfec02b2cef1e641, // -0.48353, -0.87533
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfdec61253e3c61b, 0xbfec0ed12b3372e9, // -0.48084, -0.87681
+ 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755
+ 0xbfde99f61c817eda, 0xbfec1ade38bce19b, // -0.47815, -0.87828
+ 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901
+ 0xbfde6dc704be97e2, 0xbfec26d9f01f2eaf, // -0.47545, -0.87974
+ 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047
+ 0xbfde418527dc4ffa, 0xbfec32c449f60831, // -0.47275, -0.8812
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfde1530a12779f4, 0xbfec3e9d3ee7d262, // -0.47004, -0.88264
+ 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336
+ 0xbfdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // -0.46733, -0.88408
+ 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848
+ 0xbfddbc5003b2edf8, 0xbfec561adceb743e, // -0.46462, -0.88551
+ 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622
+ 0xbfdd8fc423c62a25, 0xbfec61bf777fcc48, // -0.4619, -0.88693
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdd632607ac9aa9, 0xbfec6d5290341eb2, // -0.45918, -0.88835
+ 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905
+ 0xbfdd3675caebf962, 0xbfec78d41fe4a267, // -0.45645, -0.88975
+ 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045
+ 0xbfdd09b389152ec1, 0xbfec84441f785f61, // -0.45372, -0.89115
+ 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184
+ 0xbfdcdcdf5dc440ce, 0xbfec8fa287e13305, // -0.45098, -0.89253
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdcaff964a0421d, 0xbfec9aef521bd480, // -0.44824, -0.89391
+ 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946
+ 0xbfdc8301b95b40c2, 0xbfeca62a772fd919, // -0.4455, -0.89528
+ 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597
+ 0xbfdc55f877b23537, 0xbfecb153f02fb87d, // -0.44275, -0.89665
+ 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732
+ 0xbfdc28ddbb6cf145, 0xbfecbc6bb638d10b, // -0.43999, -0.898
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdbfbb1a05e0edc, 0xbfecc771c2736c09, // -0.43724, -0.89935
+ 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002
+ 0xbfdbce744262deee, 0xbfecd2660e12c1e6, // -0.43448, -0.90068
+ 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135
+ 0xbfdba125bd63583e, 0xbfecdd489254fe65, // -0.43171, -0.90201
+ 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267
+ 0xbfdb73c62d520624, 0xbfece819488344ce, // -0.42894, -0.90333
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdb4655ae2bf757, 0xbfecf2d829f1b40e, // -0.42617, -0.90464
+ 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053
+ 0xbfdb18d45bf8aca6, 0xbfecfd852fff6ad4, // -0.42339, -0.90595
+ 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066
+ 0xbfdaeb4252ca07ab, 0xbfed082054168bac, // -0.42061, -0.90724
+ 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789
+ 0xbfdabd9faebc3980, 0xbfed12a98fac410c, // -0.41782, -0.90853
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfda8fec8bf5b166, 0xbfed1d20dc40c15c, // -0.41503, -0.90981
+ 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044
+ 0xbfda622906a70b63, 0xbfed2786335f52fc, // -0.41224, -0.91107
+ 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171
+ 0xbfda34553b0afee5, 0xbfed31d98e9e503a, // -0.40944, -0.91234
+ 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296
+ 0xbfda067145664d57, 0xbfed3c1ae79f2b4e, // -0.40664, -0.91359
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd9d87d4207b0ab, 0xbfed464a380e7242, // -0.40384, -0.91483
+ 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545
+ 0xbfd9aa794d47c9ee, 0xbfed506779a3d2d9, // -0.40103, -0.91606
+ 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668
+ 0xbfd97c6583890fc2, 0xbfed5a72a6221e73, // -0.39822, -0.91729
+ 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179
+ 0xbfd94e420137bce3, 0xbfed646bb7574de5, // -0.3954, -0.91851
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd9200ee2c9be97, 0xbfed6e52a71c8547, // -0.39258, -0.91972
+ 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032
+ 0xbfd8f1cc44bea329, 0xbfed78276f5617c6, // -0.38976, -0.92092
+ 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151
+ 0xbfd8c37a439f884f, 0xbfed81ea09f38b63, // -0.38693, -0.92211
+ 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227
+ 0xbfd89518fbff098e, 0xbfed8b9a70ef9cb4, // -0.3841, -0.92329
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd866a88a792ea0, 0xbfed95389e50429b, // -0.38127, -0.92447
+ 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505
+ 0xbfd838290bb359c8, 0xbfed9ec48c26b1f3, // -0.37843, -0.92563
+ 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621
+ 0xbfd8099a9c5c362d, 0xbfeda83e348f613b, // -0.37559, -0.92679
+ 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736
+ 0xbfd7dafd592ba621, 0xbfedb1a591b20c38, // -0.37274, -0.92794
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd7ac515ee2b172, 0xbfedbafa9dc1b78d, // -0.36989, -0.92907
+ 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964
+ 0xbfd77d96ca4b73a6, 0xbfedc43d52fcb453, // -0.36704, -0.93021
+ 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077
+ 0xbfd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // -0.36418, -0.93133
+ 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188
+ 0xbfd71ff6458782ec, 0xbfedd68ba2267a25, // -0.36133, -0.93244
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd6f1108f1bc9c5, 0xbfeddf9730ca837b, // -0.35846, -0.93354
+ 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409
+ 0xbfd6c21cb1e39771, 0xbfede890520465ce, // -0.3556, -0.93464
+ 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518
+ 0xbfd6931acad55f51, 0xbfedf177004b2534, // -0.35273, -0.93573
+ 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627
+ 0xbfd6640af6f03d9e, 0xbfedfa4b3621271d, // -0.34986, -0.9368
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd634ed533be58e, 0xbfee030cee1435b8, // -0.34698, -0.93787
+ 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384
+ 0xbfd605c1fcc88f63, 0xbfee0bbc22bd8349, // -0.3441, -0.93893
+ 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946
+ 0xbfd5d68910aee686, 0xbfee1458cec1ad83, // -0.34122, -0.93998
+ 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051
+ 0xbfd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // -0.33833, -0.94103
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd577eeec151e47, 0xbfee255a77a63bb8, // -0.33545, -0.94206
+ 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257
+ 0xbfd5488dedeff3be, 0xbfee2dbf6a0911d9, // -0.33255, -0.94308
+ 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359
+ 0xbfd5191fceda3c35, 0xbfee3611becbaf69, // -0.32966, -0.9441
+ 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446
+ 0xbfd4e9a4ac15d520, 0xbfee3e5170cbfc46, // -0.32676, -0.94511
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd4ba1ca2eca31c, 0xbfee467e7af35f23, // -0.32386, -0.94611
+ 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466
+ 0xbfd48a87d0b07fd7, 0xbfee4e98d836c0af, // -0.32096, -0.94709
+ 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759
+ 0xbfd45ae652bb2800, 0xbfee56a083968eb1, // -0.31805, -0.94807
+ 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856
+ 0xbfd42b38466e2928, 0xbfee5e95781ebf1c, // -0.31514, -0.94905
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // -0.31222, -0.95001
+ 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049
+ 0xbfd3cbb6f87a146e, 0xbfee6e472911da27, // -0.30931, -0.95096
+ 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144
+ 0xbfd39be3f1bc8aef, 0xbfee7603dbce74e9, // -0.30639, -0.95191
+ 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238
+ 0xbfd36c04d27a4edf, 0xbfee7dadc456d850, // -0.30347, -0.95284
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd33c19b83af207, 0xbfee8544ddf0d075, // -0.30054, -0.95377
+ 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423
+ 0xbfd30c22c08d6a13, 0xbfee8cc923edc388, // -0.29762, -0.95469
+ 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514
+ 0xbfd2dc200907fe51, 0xbfee943a91aab4b4, // -0.29469, -0.95559
+ 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605
+ 0xbfd2ac11af483572, 0xbfee9b99229046f8, // -0.29175, -0.95649
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd27bf7d0f2c346, 0xbfeea2e4d212c000, // -0.28882, -0.95738
+ 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783
+ 0xbfd24bd28bb37672, 0xbfeeaa1d9bb20af3, // -0.28588, -0.95827
+ 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587
+ 0xbfd21ba1fd3d2623, 0xbfeeb1437af9bb34, // -0.28294, -0.95914
+ 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957
+ 0xbfd1eb6643499fbb, 0xbfeeb8566b810f2a, // -0.27999, -0.96
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd1bb1f7b999480, 0xbfeebf5668eaf2ef, // -0.27705, -0.96086
+ 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128
+ 0xbfd18acdc3f4873a, 0xbfeec6436ee60309, // -0.2741, -0.9617
+ 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212
+ 0xbfd15a713a28b9d9, 0xbfeecd1d792c8f10, // -0.27115, -0.96254
+ 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295
+ 0xbfd12a09fc0b1b12, 0xbfeed3e483849c51, // -0.26819, -0.96337
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd0f998277733f7, 0xbfeeda9889bfe86a, // -0.26523, -0.96418
+ 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459
+ 0xbfd0c91bda4f158d, 0xbfeee13987bbebdc, // -0.26227, -0.96499
+ 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539
+ 0xbfd09895327b465e, 0xbfeee7c77961dc9e, // -0.25931, -0.96579
+ 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619
+ 0xbfd068044deab002, 0xbfeeee425aa6b09a, // -0.25635, -0.96658
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfd037694a928cac, 0xbfeef4aa278b2032, // -0.25338, -0.96737
+ 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775
+ 0xbfd006c4466e54af, 0xbfeefafedc1ba8b7, // -0.25041, -0.96814
+ 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852
+ 0xbfcfac2abeff57ff, 0xbfef014074708ed3, // -0.24744, -0.9689
+ 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928
+ 0xbfcf4ab9679c9f5c, 0xbfef076eecade0fa, // -0.24447, -0.96966
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfcee934c2d006c7, 0xbfef0d8a410379c5, // -0.24149, -0.9704
+ 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077
+ 0xbfce879d0cc0fdaf, 0xbfef13926dad024e, // -0.23851, -0.97114
+ 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715
+ 0xbfce25f281a2b684, 0xbfef19876ef1f486, // -0.23553, -0.97187
+ 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223
+ 0xbfcdc4355db40195, 0xbfef1f6941259d7a, // -0.23255, -0.97258
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcd6265dd3f27e3, 0xbfef2537e0a71f9f, // -0.22957, -0.97329
+ 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364
+ 0xbfcd00843c99c5f9, 0xbfef2af349e17507, // -0.22658, -0.97399
+ 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434
+ 0xbfcc9e90b824a6a9, 0xbfef309b794b719f, // -0.22359, -0.97468
+ 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503
+ 0xbfcc3c8b8c4b9dd7, 0xbfef36306b67c556, // -0.2206, -0.97536
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfcbda74f5856330, 0xbfef3bb21cc4fe47, // -0.2176, -0.97604
+ 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637
+ 0xbfcb784d30536cda, 0xbfef412089fd8adc, // -0.21461, -0.9767
+ 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703
+ 0xbfcb16147941ca2a, 0xbfef467bafb7bbe0, // -0.21161, -0.97735
+ 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768
+ 0xbfcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // -0.20861, -0.978
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfca517127e3dabc, 0xbfef50f81785c6b9, // -0.20561, -0.97863
+ 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895
+ 0xbfc9ef0706e35a35, 0xbfef56195321c090, // -0.20261, -0.97926
+ 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957
+ 0xbfc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // -0.1996, -0.97988
+ 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018
+ 0xbfc92a0303c8194f, 0xbfef6021c9f148c2, // -0.19659, -0.98048
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc8c7699b34ca7e, 0xbfef6508fef47bd5, // -0.19359, -0.98108
+ 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138
+ 0xbfc864c0e9b2b6cf, 0xbfef69dcd652f5de, // -0.19057, -0.98167
+ 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196
+ 0xbfc802092c1d744b, 0xbfef6e9d4d1262ca, // -0.18756, -0.98225
+ 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254
+ 0xbfc79f429f59e11d, 0xbfef734a60446279, // -0.18455, -0.98282
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc73c6d8055fe0a, 0xbfef77e40d068a90, // -0.18153, -0.98339
+ 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366
+ 0xbfc6d98a0c08c8da, 0xbfef7c6a50826840, // -0.17851, -0.98394
+ 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421
+ 0xbfc676987f7216b8, 0xbfef80dd27ed8204, // -0.17549, -0.98448
+ 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475
+ 0xbfc61399179a6e94, 0xbfef853c9089595e, // -0.17247, -0.98501
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc5b08c1192e381, 0xbfef898887a36c84, // -0.16945, -0.98554
+ 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858
+ 0xbfc54d71aa74ef02, 0xbfef8dc10a95380d, // -0.16643, -0.98605
+ 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631
+ 0xbfc4ea4a1f624b61, 0xbfef91e616c43891, // -0.1634, -0.98656
+ 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681
+ 0xbfc48715ad84cdf5, 0xbfef95f7a9a1ec47, // -0.16037, -0.98706
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc423d4920e4166, 0xbfef99f5c0abd496, // -0.15734, -0.98754
+ 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778
+ 0xbfc3c0870a383ff6, 0xbfef9de0596b77a3, // -0.15431, -0.98802
+ 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826
+ 0xbfc35d2d53440db2, 0xbfefa1b7717661d5, // -0.15128, -0.98849
+ 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872
+ 0xbfc2f9c7aa7a72af, 0xbfefa57b066e2754, // -0.14825, -0.98895
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc296564d2b953e, 0xbfefa92b1600657c, // -0.14521, -0.9894
+ 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962
+ 0xbfc232d978aed413, 0xbfefacc79de6c44f, // -0.14218, -0.98984
+ 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006
+ 0xbfc1cf516a62a077, 0xbfefb0509be6f7db, // -0.13914, -0.99027
+ 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049
+ 0xbfc16bbe5fac5865, 0xbfefb3c60dd2c199, // -0.1361, -0.9907
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfc1082095f820b0, 0xbfefb727f187f1c7, // -0.13306, -0.99111
+ 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131
+ 0xbfc0a4784ab8bf1d, 0xbfefba7644f068b5, // -0.13002, -0.99151
+ 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171
+ 0xbfc040c5bb67747e, 0xbfefbdb106021816, // -0.12698, -0.99191
+ 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921
+ 0xbfbfba124b07ad85, 0xbfefc0d832bf043a, // -0.12393, -0.99229
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbef2858d27561b, 0xbfefc3ebc935454c, // -0.12089, -0.99267
+ 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285
+ 0xbfbe2ae5b8457f77, 0xbfefc6ebc77f0887, // -0.11784, -0.99303
+ 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321
+ 0xbfbd633347858ce4, 0xbfefc9d82bc2915e, // -0.11479, -0.99339
+ 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356
+ 0xbfbc9b6eb6165c42, 0xbfefccb0f4323aa3, // -0.11175, -0.99374
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfbbd3987f31fa0e, 0xbfefcf761f0c77a3, // -0.1087, -0.99407
+ 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424
+ 0xbfbb0bb11e1d5559, 0xbfefd227aa9bd53b, // -0.10565, -0.9944
+ 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456
+ 0xbfba43b90e27f3c4, 0xbfefd4c59536fae4, // -0.1026, -0.99472
+ 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488
+ 0xbfb97bb0caaba56f, 0xbfefd74fdd40abbf, // -0.099544, -0.99503
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518
+ 0xbfb8b398cf0c38e0, 0xbfefd9c68127c78c, // -0.09649, -0.99533
+ 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548
+ 0xbfb7eb7196b72ee4, 0xbfefdc297f674ba9, // -0.093436, -0.99563
+ 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577
+ 0xbfb7233b9d236e71, 0xbfefde78d68653fd, // -0.090381, -0.99591
+ 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604
+ 0xbfb65af75dd0f87b, 0xbfefe0b485181be3, // -0.087326, -0.99618
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631
+ 0xbfb592a554489bc8, 0xbfefe2dc89bbff08, // -0.084269, -0.99644
+ 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657
+ 0xbfb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // -0.081211, -0.9967
+ 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682
+ 0xbfb401d9d0e3a507, 0xbfefe6f18ff42c84, // -0.078153, -0.99694
+ 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706
+ 0xbfb339614e41ffa5, 0xbfefe8de8f03d75c, // -0.075094, -0.99718
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729
+ 0xbfb270dcefdfc45b, 0xbfefeab7df1c6005, // -0.072035, -0.9974
+ 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751
+ 0xbfb1a84d316d4f8a, 0xbfefec7d7f19cffc, // -0.068974, -0.99762
+ 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772
+ 0xbfb0dfb28ea201e6, 0xbfefee2f6de455ba, // -0.065913, -0.99783
+ 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793
+ 0xbfb0170d833bf421, 0xbfefefcdaa704562, // -0.062852, -0.99802
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812
+ 0xbfae9cbd15ff5527, 0xbfeff15833be1965, // -0.05979, -0.99821
+ 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983
+ 0xbfad0b4c436f91d0, 0xbfeff2cf08da7321, // -0.056727, -0.99839
+ 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848
+ 0xbfab79c986698b78, 0xbfeff43228de1b77, // -0.053664, -0.99856
+ 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864
+ 0xbfa9e835d6993c87, 0xbfeff58192ee0358, // -0.0506, -0.99872
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988
+ 0xbfa856922bb513c1, 0xbfeff6bd463b444d, // -0.047535, -0.99887
+ 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894
+ 0xbfa6c4df7d7d5b84, 0xbfeff7e5420320f9, // -0.044471, -0.99901
+ 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908
+ 0xbfa5331ec3bba0eb, 0xbfeff8f9858f058b, // -0.041406, -0.99914
+ 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992
+ 0xbfa3a150f6421afc, 0xbfeff9fa10348837, // -0.03834, -0.99926
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932
+ 0xbfa20f770ceb11c6, 0xbfeffae6e1556998, // -0.035274, -0.99938
+ 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943
+ 0xbfa07d91ff984580, 0xbfeffbbff85f9515, // -0.032208, -0.99948
+ 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953
+ 0xbf9dd7458c64ab39, 0xbfeffc8554cd213a, // -0.029142, -0.99958
+ 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962
+ 0xbf9ab354b1504fca, 0xbfeffd36f624500c, // -0.026075, -0.99966
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997
+ 0xbf978f535ddc9f03, 0xbfeffdd4dbf78f52, // -0.023008, -0.99974
+ 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977
+ 0xbf946b4381fce81c, 0xbfeffe5f05e578db, // -0.01994, -0.9998
+ 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983
+ 0xbf9147270dad7132, 0xbfeffed57398d2b7, // -0.016873, -0.99986
+ 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988
+ 0xbf8c45ffe1e48ad9, 0xbfefff3824c88f6f, // -0.013805, -0.9999
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992
+ 0xbf85fda037ac05e0, 0xbfefff871937ce2f, // -0.010738, -0.99994
+ 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996
+ 0xbf7f6a65f9a2a3c5, 0xbfefffc250b5daef, //-0.0076698, -0.99997
+ 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998
+ 0xbf72d97822f996bc, 0xbfefffe9cb1e2e8d, //-0.0046019, -0.99999
+ 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1
+ 0xbf5921faaee6472d, 0xbfeffffd88586ee6, // -0.001534, -1
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1
+ 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1
+ 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, // 0.0046019, -0.99999
+ 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998
+ 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, // 0.0076698, -0.99997
+ 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996
+ 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999
+ 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988
+ 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986
+ 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983
+ 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998
+ 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977
+ 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966
+ 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962
+ 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958
+ 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953
+ 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948
+ 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943
+ 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926
+ 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992
+ 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914
+ 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908
+ 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901
+ 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894
+ 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872
+ 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864
+ 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856
+ 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848
+ 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839
+ 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983
+ 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802
+ 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793
+ 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783
+ 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772
+ 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762
+ 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751
+ 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718
+ 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706
+ 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694
+ 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682
+ 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967
+ 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657
+ 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618
+ 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604
+ 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591
+ 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577
+ 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563
+ 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548
+ 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503
+ 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488
+ 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472
+ 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456
+ 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944
+ 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424
+ 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374
+ 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356
+ 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339
+ 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321
+ 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303
+ 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285
+ 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229
+ 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921
+ 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191
+ 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171
+ 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151
+ 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131
+ 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907
+ 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049
+ 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027
+ 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006
+ 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984
+ 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962
+ 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895
+ 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872
+ 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849
+ 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826
+ 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802
+ 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778
+ 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706
+ 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681
+ 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656
+ 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631
+ 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605
+ 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858
+ 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501
+ 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475
+ 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448
+ 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421
+ 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394
+ 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366
+ 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282
+ 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254
+ 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225
+ 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196
+ 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167
+ 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138
+ 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048
+ 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018
+ 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988
+ 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957
+ 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926
+ 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895
+ 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978
+ 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768
+ 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735
+ 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703
+ 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767
+ 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637
+ 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536
+ 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503
+ 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468
+ 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434
+ 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399
+ 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364
+ 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258
+ 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223
+ 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187
+ 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715
+ 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114
+ 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077
+ 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966
+ 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928
+ 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689
+ 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852
+ 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814
+ 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775
+ 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658
+ 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619
+ 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579
+ 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539
+ 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499
+ 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459
+ 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337
+ 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295
+ 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254
+ 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212
+ 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617
+ 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128
+ 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96
+ 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957
+ 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914
+ 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587
+ 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827
+ 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783
+ 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649
+ 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605
+ 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559
+ 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514
+ 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469
+ 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423
+ 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284
+ 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238
+ 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191
+ 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144
+ 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096
+ 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049
+ 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905
+ 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856
+ 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807
+ 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759
+ 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709
+ 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466
+ 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511
+ 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446
+ 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441
+ 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359
+ 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308
+ 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257
+ 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103
+ 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051
+ 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998
+ 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946
+ 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893
+ 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384
+ 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368
+ 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627
+ 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573
+ 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518
+ 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464
+ 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409
+ 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244
+ 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188
+ 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133
+ 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077
+ 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021
+ 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964
+ 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794
+ 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736
+ 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679
+ 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621
+ 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563
+ 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505
+ 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329
+ 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227
+ 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211
+ 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151
+ 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092
+ 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032
+ 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851
+ 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179
+ 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729
+ 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668
+ 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606
+ 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545
+ 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359
+ 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296
+ 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234
+ 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171
+ 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107
+ 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044
+ 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853
+ 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789
+ 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724
+ 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066
+ 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595
+ 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053
+ 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333
+ 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267
+ 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201
+ 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135
+ 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068
+ 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002
+ 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898
+ 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732
+ 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665
+ 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597
+ 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528
+ 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946
+ 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253
+ 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184
+ 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115
+ 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045
+ 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975
+ 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905
+ 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693
+ 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622
+ 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551
+ 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848
+ 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408
+ 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336
+ 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812
+ 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047
+ 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974
+ 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901
+ 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828
+ 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755
+ 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533
+ 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459
+ 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384
+ 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309
+ 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235
+ 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716
+ 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933
+ 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857
+ 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781
+ 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705
+ 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628
+ 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551
+ 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632
+ 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242
+ 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165
+ 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087
+ 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009
+ 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593
+ 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694
+ 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615
+ 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535
+ 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456
+ 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376
+ 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296
+ 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055
+ 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974
+ 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893
+ 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812
+ 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731
+ 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649
+ 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403
+ 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321
+ 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238
+ 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155
+ 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073
+ 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989
+ 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739
+ 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655
+ 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571
+ 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486
+ 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402
+ 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317
+ 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062
+ 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976
+ 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289
+ 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805
+ 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718
+ 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632
+ 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372
+ 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285
+ 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198
+ 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211
+ 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023
+ 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935
+ 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167
+ 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581
+ 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493
+ 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404
+ 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314
+ 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225
+ 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956
+ 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866
+ 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775
+ 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685
+ 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594
+ 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503
+ 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229
+ 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138
+ 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046
+ 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954
+ 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861
+ 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769
+ 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491
+ 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398
+ 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304
+ 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211
+ 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117
+ 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023
+ 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874
+ 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646
+ 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551
+ 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456
+ 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836
+ 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265
+ 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978
+ 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882
+ 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785
+ 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689
+ 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592
+ 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495
+ 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204
+ 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106
+ 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008
+ 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691
+ 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812
+ 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714
+ 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418
+ 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319
+ 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622
+ 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612
+ 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021
+ 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921
+ 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621
+ 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552
+ 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419
+ 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319
+ 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218
+ 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117
+ 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812
+ 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471
+ 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608
+ 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506
+ 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403
+ 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301
+ 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992
+ 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889
+ 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785
+ 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682
+ 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578
+ 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474
+ 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161
+ 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056
+ 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951
+ 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846
+ 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741
+ 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636
+ 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319
+ 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213
+ 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107
+ 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72
+ 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894
+ 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787
+ 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466
+ 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358
+ 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251
+ 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143
+ 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035
+ 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927
+ 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602
+ 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493
+ 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385
+ 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275
+ 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166
+ 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057
+ 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728
+ 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618
+ 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508
+ 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397
+ 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287
+ 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176
+ 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843
+ 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732
+ 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862
+ 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508
+ 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397
+ 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285
+ 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948
+ 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835
+ 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722
+ 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609
+ 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496
+ 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383
+ 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042
+ 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928
+ 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814
+ 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667
+ 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586
+ 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471
+ 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127
+ 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011
+ 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896
+ 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781
+ 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665
+ 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549
+ 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201
+ 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085
+ 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968
+ 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851
+ 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735
+ 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618
+ 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266
+ 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148
+ 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403
+ 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912
+ 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794
+ 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676
+ 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321
+ 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202
+ 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083
+ 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964
+ 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845
+ 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725
+ 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366
+ 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246
+ 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126
+ 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006
+ 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885
+ 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765
+ 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402
+ 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281
+ 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116
+ 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038
+ 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917
+ 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795
+ 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429
+ 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307
+ 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184
+ 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062
+ 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939
+ 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816
+ 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447
+ 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323
+ 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592
+ 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076
+ 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952
+ 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828
+ 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455
+ 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331
+ 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206
+ 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081
+ 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956
+ 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831
+ 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455
+ 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733
+ 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204
+ 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078
+ 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952
+ 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826
+ 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447
+ 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632
+ 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193
+ 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066
+ 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939
+ 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812
+ 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429
+ 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302
+ 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174
+ 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046
+ 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918
+ 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789
+ 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404
+ 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275
+ 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146
+ 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017
+ 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888
+ 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759
+ 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337
+ 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324
+ 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311
+ 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298
+ 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285
+ 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272
+ 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328
+ 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198
+ 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067
+ 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936
+ 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804
+ 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673
+ 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279
+ 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147
+ 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015
+ 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883
+ 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751
+ 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619
+ 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221
+ 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089
+ 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956
+ 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823
+ 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969
+ 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557
+ 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156
+ 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023
+ 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889
+ 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755
+ 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621
+ 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487
+ 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084
+ 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949
+ 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815
+ 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768
+ 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545
+ 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741
+ 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004
+ 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869
+ 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733
+ 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598
+ 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462
+ 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326
+ 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918
+ 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781
+ 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645
+ 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508
+ 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372
+ 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235
+ 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824
+ 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687
+ 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455
+ 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412
+ 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275
+ 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137
+ 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724
+ 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586
+ 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448
+ 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309
+ 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171
+ 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033
+ 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617
+ 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478
+ 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339
+ 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422
+ 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061
+ 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922
+ 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503
+ 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364
+ 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224
+ 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084
+ 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944
+ 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804
+ 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384
+ 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243
+ 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103
+ 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962
+ 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822
+ 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681
+ 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258
+ 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117
+ 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976
+ 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835
+ 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693
+ 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552
+ 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127
+ 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985
+ 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843
+ 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701
+ 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559
+ 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416
+ 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989
+ 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847
+ 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704
+ 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561
+ 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418
+ 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276
+ 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846
+ 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703
+ 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556
+ 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416
+ 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273
+ 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129
+ 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698
+ 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554
+ 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441
+ 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266
+ 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122
+ 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978
+ 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545
+ 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334
+ 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255
+ 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111
+ 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966
+ 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821
+ 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386
+ 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241
+ 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096
+ 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195
+ 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805
+ 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659
+ 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222
+ 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077
+ 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931
+ 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785
+ 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639
+ 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493
+ 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054
+ 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908
+ 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762
+ 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615
+ 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469
+ 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322
+ 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882
+ 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735
+ 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588
+ 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441
+ 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294
+ 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146
+ 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705
+ 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557
+ 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741
+ 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262
+ 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115
+ 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967
+ 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523
+ 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375
+ 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227
+ 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079
+ 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931
+ 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783
+ 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338
+ 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519
+ 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041
+ 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893
+ 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744
+ 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596
+ 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149
+ 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24
+ 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851
+ 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702
+ 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553
+ 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404
+ 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957
+ 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807
+ 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658
+ 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508
+ 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359
+ 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209
+ 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176
+ 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611
+ 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461
+ 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311
+ 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161
+ 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011
+ 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561
+ 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411
+ 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261
+ 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011
+ 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996
+ 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981
+ 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359
+ 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208
+ 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057
+ 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907
+ 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756
+ 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606
+ 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153
+ 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002
+ 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851
+ 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177
+ 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549
+ 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398
+ 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945
+ 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794
+ 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643
+ 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491
+ 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634
+ 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189
+ 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734
+ 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583
+ 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431
+ 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528
+ 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128
+ 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976
+ 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521
+ 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437
+ 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218
+ 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066
+ 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914
+ 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762
+ 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306
+ 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154
+ 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002
+ 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285
+ 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698
+ 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545
+ 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089
+ 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937
+ 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784
+ 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632
+ 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479
+ 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327
+ 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087
+ 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717
+ 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565
+ 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412
+ 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026
+ 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107
+ 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017
+ 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649
+ 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963
+ 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436
+ 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909
+ 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381
+ 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854
+ 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797
+ 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269
+ 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274
+ 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211
+ 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682
+ 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153
+ 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624
+ 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565
+ 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035
+ 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505
+ 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974
+ 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444
+ 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913
+ 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383
+ 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321
+ 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979
+ 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258
+ 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727
+ 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195
+ 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664
+ 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132
+ 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068
+ 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535
+ 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003
+ 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471
+ 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938
+ 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406
+ 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873
+ 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807
+ 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274
+ 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741
+ 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208
+ 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675
+ 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142
+ 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608
+ 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541
+ 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008
+ 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474
+ 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994
+ 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407
+ 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873
+ 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339
+ 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272
+ 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738
+ 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038
+ 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698
+ 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359
+ 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019
+ 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068
+ 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534
+
+
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+ @brief Floating-point Twiddle factors Table Generation
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_16[32] = {
+ 1.000000000f, 0.000000000f,
+ 0.923879533f, 0.382683432f,
+ 0.707106781f, 0.707106781f,
+ 0.382683432f, 0.923879533f,
+ 0.000000000f, 1.000000000f,
+ -0.382683432f, 0.923879533f,
+ -0.707106781f, 0.707106781f,
+ -0.923879533f, 0.382683432f,
+ -1.000000000f, 0.000000000f,
+ -0.923879533f, -0.382683432f,
+ -0.707106781f, -0.707106781f,
+ -0.382683432f, -0.923879533f,
+ -0.000000000f, -1.000000000f,
+ 0.382683432f, -0.923879533f,
+ 0.707106781f, -0.707106781f,
+ 0.923879533f, -0.382683432f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_32[64] = {
+ 1.000000000f, 0.000000000f,
+ 0.980785280f, 0.195090322f,
+ 0.923879533f, 0.382683432f,
+ 0.831469612f, 0.555570233f,
+ 0.707106781f, 0.707106781f,
+ 0.555570233f, 0.831469612f,
+ 0.382683432f, 0.923879533f,
+ 0.195090322f, 0.980785280f,
+ 0.000000000f, 1.000000000f,
+ -0.195090322f, 0.980785280f,
+ -0.382683432f, 0.923879533f,
+ -0.555570233f, 0.831469612f,
+ -0.707106781f, 0.707106781f,
+ -0.831469612f, 0.555570233f,
+ -0.923879533f, 0.382683432f,
+ -0.980785280f, 0.195090322f,
+ -1.000000000f, 0.000000000f,
+ -0.980785280f, -0.195090322f,
+ -0.923879533f, -0.382683432f,
+ -0.831469612f, -0.555570233f,
+ -0.707106781f, -0.707106781f,
+ -0.555570233f, -0.831469612f,
+ -0.382683432f, -0.923879533f,
+ -0.195090322f, -0.980785280f,
+ -0.000000000f, -1.000000000f,
+ 0.195090322f, -0.980785280f,
+ 0.382683432f, -0.923879533f,
+ 0.555570233f, -0.831469612f,
+ 0.707106781f, -0.707106781f,
+ 0.831469612f, -0.555570233f,
+ 0.923879533f, -0.382683432f,
+ 0.980785280f, -0.195090322f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_64[128] = {
+ 1.000000000f, 0.000000000f,
+ 0.995184727f, 0.098017140f,
+ 0.980785280f, 0.195090322f,
+ 0.956940336f, 0.290284677f,
+ 0.923879533f, 0.382683432f,
+ 0.881921264f, 0.471396737f,
+ 0.831469612f, 0.555570233f,
+ 0.773010453f, 0.634393284f,
+ 0.707106781f, 0.707106781f,
+ 0.634393284f, 0.773010453f,
+ 0.555570233f, 0.831469612f,
+ 0.471396737f, 0.881921264f,
+ 0.382683432f, 0.923879533f,
+ 0.290284677f, 0.956940336f,
+ 0.195090322f, 0.980785280f,
+ 0.098017140f, 0.995184727f,
+ 0.000000000f, 1.000000000f,
+ -0.098017140f, 0.995184727f,
+ -0.195090322f, 0.980785280f,
+ -0.290284677f, 0.956940336f,
+ -0.382683432f, 0.923879533f,
+ -0.471396737f, 0.881921264f,
+ -0.555570233f, 0.831469612f,
+ -0.634393284f, 0.773010453f,
+ -0.707106781f, 0.707106781f,
+ -0.773010453f, 0.634393284f,
+ -0.831469612f, 0.555570233f,
+ -0.881921264f, 0.471396737f,
+ -0.923879533f, 0.382683432f,
+ -0.956940336f, 0.290284677f,
+ -0.980785280f, 0.195090322f,
+ -0.995184727f, 0.098017140f,
+ -1.000000000f, 0.000000000f,
+ -0.995184727f, -0.098017140f,
+ -0.980785280f, -0.195090322f,
+ -0.956940336f, -0.290284677f,
+ -0.923879533f, -0.382683432f,
+ -0.881921264f, -0.471396737f,
+ -0.831469612f, -0.555570233f,
+ -0.773010453f, -0.634393284f,
+ -0.707106781f, -0.707106781f,
+ -0.634393284f, -0.773010453f,
+ -0.555570233f, -0.831469612f,
+ -0.471396737f, -0.881921264f,
+ -0.382683432f, -0.923879533f,
+ -0.290284677f, -0.956940336f,
+ -0.195090322f, -0.980785280f,
+ -0.098017140f, -0.995184727f,
+ -0.000000000f, -1.000000000f,
+ 0.098017140f, -0.995184727f,
+ 0.195090322f, -0.980785280f,
+ 0.290284677f, -0.956940336f,
+ 0.382683432f, -0.923879533f,
+ 0.471396737f, -0.881921264f,
+ 0.555570233f, -0.831469612f,
+ 0.634393284f, -0.773010453f,
+ 0.707106781f, -0.707106781f,
+ 0.773010453f, -0.634393284f,
+ 0.831469612f, -0.555570233f,
+ 0.881921264f, -0.471396737f,
+ 0.923879533f, -0.382683432f,
+ 0.956940336f, -0.290284677f,
+ 0.980785280f, -0.195090322f,
+ 0.995184727f, -0.098017140f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_128[256] = {
+ 1.000000000f, 0.000000000f,
+ 0.998795456f, 0.049067674f,
+ 0.995184727f, 0.098017140f,
+ 0.989176510f, 0.146730474f,
+ 0.980785280f, 0.195090322f,
+ 0.970031253f, 0.242980180f,
+ 0.956940336f, 0.290284677f,
+ 0.941544065f, 0.336889853f,
+ 0.923879533f, 0.382683432f,
+ 0.903989293f, 0.427555093f,
+ 0.881921264f, 0.471396737f,
+ 0.857728610f, 0.514102744f,
+ 0.831469612f, 0.555570233f,
+ 0.803207531f, 0.595699304f,
+ 0.773010453f, 0.634393284f,
+ 0.740951125f, 0.671558955f,
+ 0.707106781f, 0.707106781f,
+ 0.671558955f, 0.740951125f,
+ 0.634393284f, 0.773010453f,
+ 0.595699304f, 0.803207531f,
+ 0.555570233f, 0.831469612f,
+ 0.514102744f, 0.857728610f,
+ 0.471396737f, 0.881921264f,
+ 0.427555093f, 0.903989293f,
+ 0.382683432f, 0.923879533f,
+ 0.336889853f, 0.941544065f,
+ 0.290284677f, 0.956940336f,
+ 0.242980180f, 0.970031253f,
+ 0.195090322f, 0.980785280f,
+ 0.146730474f, 0.989176510f,
+ 0.098017140f, 0.995184727f,
+ 0.049067674f, 0.998795456f,
+ 0.000000000f, 1.000000000f,
+ -0.049067674f, 0.998795456f,
+ -0.098017140f, 0.995184727f,
+ -0.146730474f, 0.989176510f,
+ -0.195090322f, 0.980785280f,
+ -0.242980180f, 0.970031253f,
+ -0.290284677f, 0.956940336f,
+ -0.336889853f, 0.941544065f,
+ -0.382683432f, 0.923879533f,
+ -0.427555093f, 0.903989293f,
+ -0.471396737f, 0.881921264f,
+ -0.514102744f, 0.857728610f,
+ -0.555570233f, 0.831469612f,
+ -0.595699304f, 0.803207531f,
+ -0.634393284f, 0.773010453f,
+ -0.671558955f, 0.740951125f,
+ -0.707106781f, 0.707106781f,
+ -0.740951125f, 0.671558955f,
+ -0.773010453f, 0.634393284f,
+ -0.803207531f, 0.595699304f,
+ -0.831469612f, 0.555570233f,
+ -0.857728610f, 0.514102744f,
+ -0.881921264f, 0.471396737f,
+ -0.903989293f, 0.427555093f,
+ -0.923879533f, 0.382683432f,
+ -0.941544065f, 0.336889853f,
+ -0.956940336f, 0.290284677f,
+ -0.970031253f, 0.242980180f,
+ -0.980785280f, 0.195090322f,
+ -0.989176510f, 0.146730474f,
+ -0.995184727f, 0.098017140f,
+ -0.998795456f, 0.049067674f,
+ -1.000000000f, 0.000000000f,
+ -0.998795456f, -0.049067674f,
+ -0.995184727f, -0.098017140f,
+ -0.989176510f, -0.146730474f,
+ -0.980785280f, -0.195090322f,
+ -0.970031253f, -0.242980180f,
+ -0.956940336f, -0.290284677f,
+ -0.941544065f, -0.336889853f,
+ -0.923879533f, -0.382683432f,
+ -0.903989293f, -0.427555093f,
+ -0.881921264f, -0.471396737f,
+ -0.857728610f, -0.514102744f,
+ -0.831469612f, -0.555570233f,
+ -0.803207531f, -0.595699304f,
+ -0.773010453f, -0.634393284f,
+ -0.740951125f, -0.671558955f,
+ -0.707106781f, -0.707106781f,
+ -0.671558955f, -0.740951125f,
+ -0.634393284f, -0.773010453f,
+ -0.595699304f, -0.803207531f,
+ -0.555570233f, -0.831469612f,
+ -0.514102744f, -0.857728610f,
+ -0.471396737f, -0.881921264f,
+ -0.427555093f, -0.903989293f,
+ -0.382683432f, -0.923879533f,
+ -0.336889853f, -0.941544065f,
+ -0.290284677f, -0.956940336f,
+ -0.242980180f, -0.970031253f,
+ -0.195090322f, -0.980785280f,
+ -0.146730474f, -0.989176510f,
+ -0.098017140f, -0.995184727f,
+ -0.049067674f, -0.998795456f,
+ -0.000000000f, -1.000000000f,
+ 0.049067674f, -0.998795456f,
+ 0.098017140f, -0.995184727f,
+ 0.146730474f, -0.989176510f,
+ 0.195090322f, -0.980785280f,
+ 0.242980180f, -0.970031253f,
+ 0.290284677f, -0.956940336f,
+ 0.336889853f, -0.941544065f,
+ 0.382683432f, -0.923879533f,
+ 0.427555093f, -0.903989293f,
+ 0.471396737f, -0.881921264f,
+ 0.514102744f, -0.857728610f,
+ 0.555570233f, -0.831469612f,
+ 0.595699304f, -0.803207531f,
+ 0.634393284f, -0.773010453f,
+ 0.671558955f, -0.740951125f,
+ 0.707106781f, -0.707106781f,
+ 0.740951125f, -0.671558955f,
+ 0.773010453f, -0.634393284f,
+ 0.803207531f, -0.595699304f,
+ 0.831469612f, -0.555570233f,
+ 0.857728610f, -0.514102744f,
+ 0.881921264f, -0.471396737f,
+ 0.903989293f, -0.427555093f,
+ 0.923879533f, -0.382683432f,
+ 0.941544065f, -0.336889853f,
+ 0.956940336f, -0.290284677f,
+ 0.970031253f, -0.242980180f,
+ 0.980785280f, -0.195090322f,
+ 0.989176510f, -0.146730474f,
+ 0.995184727f, -0.098017140f,
+ 0.998795456f, -0.049067674f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_256[512] = {
+ 1.000000000f, 0.000000000f,
+ 0.999698819f, 0.024541229f,
+ 0.998795456f, 0.049067674f,
+ 0.997290457f, 0.073564564f,
+ 0.995184727f, 0.098017140f,
+ 0.992479535f, 0.122410675f,
+ 0.989176510f, 0.146730474f,
+ 0.985277642f, 0.170961889f,
+ 0.980785280f, 0.195090322f,
+ 0.975702130f, 0.219101240f,
+ 0.970031253f, 0.242980180f,
+ 0.963776066f, 0.266712757f,
+ 0.956940336f, 0.290284677f,
+ 0.949528181f, 0.313681740f,
+ 0.941544065f, 0.336889853f,
+ 0.932992799f, 0.359895037f,
+ 0.923879533f, 0.382683432f,
+ 0.914209756f, 0.405241314f,
+ 0.903989293f, 0.427555093f,
+ 0.893224301f, 0.449611330f,
+ 0.881921264f, 0.471396737f,
+ 0.870086991f, 0.492898192f,
+ 0.857728610f, 0.514102744f,
+ 0.844853565f, 0.534997620f,
+ 0.831469612f, 0.555570233f,
+ 0.817584813f, 0.575808191f,
+ 0.803207531f, 0.595699304f,
+ 0.788346428f, 0.615231591f,
+ 0.773010453f, 0.634393284f,
+ 0.757208847f, 0.653172843f,
+ 0.740951125f, 0.671558955f,
+ 0.724247083f, 0.689540545f,
+ 0.707106781f, 0.707106781f,
+ 0.689540545f, 0.724247083f,
+ 0.671558955f, 0.740951125f,
+ 0.653172843f, 0.757208847f,
+ 0.634393284f, 0.773010453f,
+ 0.615231591f, 0.788346428f,
+ 0.595699304f, 0.803207531f,
+ 0.575808191f, 0.817584813f,
+ 0.555570233f, 0.831469612f,
+ 0.534997620f, 0.844853565f,
+ 0.514102744f, 0.857728610f,
+ 0.492898192f, 0.870086991f,
+ 0.471396737f, 0.881921264f,
+ 0.449611330f, 0.893224301f,
+ 0.427555093f, 0.903989293f,
+ 0.405241314f, 0.914209756f,
+ 0.382683432f, 0.923879533f,
+ 0.359895037f, 0.932992799f,
+ 0.336889853f, 0.941544065f,
+ 0.313681740f, 0.949528181f,
+ 0.290284677f, 0.956940336f,
+ 0.266712757f, 0.963776066f,
+ 0.242980180f, 0.970031253f,
+ 0.219101240f, 0.975702130f,
+ 0.195090322f, 0.980785280f,
+ 0.170961889f, 0.985277642f,
+ 0.146730474f, 0.989176510f,
+ 0.122410675f, 0.992479535f,
+ 0.098017140f, 0.995184727f,
+ 0.073564564f, 0.997290457f,
+ 0.049067674f, 0.998795456f,
+ 0.024541229f, 0.999698819f,
+ 0.000000000f, 1.000000000f,
+ -0.024541229f, 0.999698819f,
+ -0.049067674f, 0.998795456f,
+ -0.073564564f, 0.997290457f,
+ -0.098017140f, 0.995184727f,
+ -0.122410675f, 0.992479535f,
+ -0.146730474f, 0.989176510f,
+ -0.170961889f, 0.985277642f,
+ -0.195090322f, 0.980785280f,
+ -0.219101240f, 0.975702130f,
+ -0.242980180f, 0.970031253f,
+ -0.266712757f, 0.963776066f,
+ -0.290284677f, 0.956940336f,
+ -0.313681740f, 0.949528181f,
+ -0.336889853f, 0.941544065f,
+ -0.359895037f, 0.932992799f,
+ -0.382683432f, 0.923879533f,
+ -0.405241314f, 0.914209756f,
+ -0.427555093f, 0.903989293f,
+ -0.449611330f, 0.893224301f,
+ -0.471396737f, 0.881921264f,
+ -0.492898192f, 0.870086991f,
+ -0.514102744f, 0.857728610f,
+ -0.534997620f, 0.844853565f,
+ -0.555570233f, 0.831469612f,
+ -0.575808191f, 0.817584813f,
+ -0.595699304f, 0.803207531f,
+ -0.615231591f, 0.788346428f,
+ -0.634393284f, 0.773010453f,
+ -0.653172843f, 0.757208847f,
+ -0.671558955f, 0.740951125f,
+ -0.689540545f, 0.724247083f,
+ -0.707106781f, 0.707106781f,
+ -0.724247083f, 0.689540545f,
+ -0.740951125f, 0.671558955f,
+ -0.757208847f, 0.653172843f,
+ -0.773010453f, 0.634393284f,
+ -0.788346428f, 0.615231591f,
+ -0.803207531f, 0.595699304f,
+ -0.817584813f, 0.575808191f,
+ -0.831469612f, 0.555570233f,
+ -0.844853565f, 0.534997620f,
+ -0.857728610f, 0.514102744f,
+ -0.870086991f, 0.492898192f,
+ -0.881921264f, 0.471396737f,
+ -0.893224301f, 0.449611330f,
+ -0.903989293f, 0.427555093f,
+ -0.914209756f, 0.405241314f,
+ -0.923879533f, 0.382683432f,
+ -0.932992799f, 0.359895037f,
+ -0.941544065f, 0.336889853f,
+ -0.949528181f, 0.313681740f,
+ -0.956940336f, 0.290284677f,
+ -0.963776066f, 0.266712757f,
+ -0.970031253f, 0.242980180f,
+ -0.975702130f, 0.219101240f,
+ -0.980785280f, 0.195090322f,
+ -0.985277642f, 0.170961889f,
+ -0.989176510f, 0.146730474f,
+ -0.992479535f, 0.122410675f,
+ -0.995184727f, 0.098017140f,
+ -0.997290457f, 0.073564564f,
+ -0.998795456f, 0.049067674f,
+ -0.999698819f, 0.024541229f,
+ -1.000000000f, 0.000000000f,
+ -0.999698819f, -0.024541229f,
+ -0.998795456f, -0.049067674f,
+ -0.997290457f, -0.073564564f,
+ -0.995184727f, -0.098017140f,
+ -0.992479535f, -0.122410675f,
+ -0.989176510f, -0.146730474f,
+ -0.985277642f, -0.170961889f,
+ -0.980785280f, -0.195090322f,
+ -0.975702130f, -0.219101240f,
+ -0.970031253f, -0.242980180f,
+ -0.963776066f, -0.266712757f,
+ -0.956940336f, -0.290284677f,
+ -0.949528181f, -0.313681740f,
+ -0.941544065f, -0.336889853f,
+ -0.932992799f, -0.359895037f,
+ -0.923879533f, -0.382683432f,
+ -0.914209756f, -0.405241314f,
+ -0.903989293f, -0.427555093f,
+ -0.893224301f, -0.449611330f,
+ -0.881921264f, -0.471396737f,
+ -0.870086991f, -0.492898192f,
+ -0.857728610f, -0.514102744f,
+ -0.844853565f, -0.534997620f,
+ -0.831469612f, -0.555570233f,
+ -0.817584813f, -0.575808191f,
+ -0.803207531f, -0.595699304f,
+ -0.788346428f, -0.615231591f,
+ -0.773010453f, -0.634393284f,
+ -0.757208847f, -0.653172843f,
+ -0.740951125f, -0.671558955f,
+ -0.724247083f, -0.689540545f,
+ -0.707106781f, -0.707106781f,
+ -0.689540545f, -0.724247083f,
+ -0.671558955f, -0.740951125f,
+ -0.653172843f, -0.757208847f,
+ -0.634393284f, -0.773010453f,
+ -0.615231591f, -0.788346428f,
+ -0.595699304f, -0.803207531f,
+ -0.575808191f, -0.817584813f,
+ -0.555570233f, -0.831469612f,
+ -0.534997620f, -0.844853565f,
+ -0.514102744f, -0.857728610f,
+ -0.492898192f, -0.870086991f,
+ -0.471396737f, -0.881921264f,
+ -0.449611330f, -0.893224301f,
+ -0.427555093f, -0.903989293f,
+ -0.405241314f, -0.914209756f,
+ -0.382683432f, -0.923879533f,
+ -0.359895037f, -0.932992799f,
+ -0.336889853f, -0.941544065f,
+ -0.313681740f, -0.949528181f,
+ -0.290284677f, -0.956940336f,
+ -0.266712757f, -0.963776066f,
+ -0.242980180f, -0.970031253f,
+ -0.219101240f, -0.975702130f,
+ -0.195090322f, -0.980785280f,
+ -0.170961889f, -0.985277642f,
+ -0.146730474f, -0.989176510f,
+ -0.122410675f, -0.992479535f,
+ -0.098017140f, -0.995184727f,
+ -0.073564564f, -0.997290457f,
+ -0.049067674f, -0.998795456f,
+ -0.024541229f, -0.999698819f,
+ -0.000000000f, -1.000000000f,
+ 0.024541229f, -0.999698819f,
+ 0.049067674f, -0.998795456f,
+ 0.073564564f, -0.997290457f,
+ 0.098017140f, -0.995184727f,
+ 0.122410675f, -0.992479535f,
+ 0.146730474f, -0.989176510f,
+ 0.170961889f, -0.985277642f,
+ 0.195090322f, -0.980785280f,
+ 0.219101240f, -0.975702130f,
+ 0.242980180f, -0.970031253f,
+ 0.266712757f, -0.963776066f,
+ 0.290284677f, -0.956940336f,
+ 0.313681740f, -0.949528181f,
+ 0.336889853f, -0.941544065f,
+ 0.359895037f, -0.932992799f,
+ 0.382683432f, -0.923879533f,
+ 0.405241314f, -0.914209756f,
+ 0.427555093f, -0.903989293f,
+ 0.449611330f, -0.893224301f,
+ 0.471396737f, -0.881921264f,
+ 0.492898192f, -0.870086991f,
+ 0.514102744f, -0.857728610f,
+ 0.534997620f, -0.844853565f,
+ 0.555570233f, -0.831469612f,
+ 0.575808191f, -0.817584813f,
+ 0.595699304f, -0.803207531f,
+ 0.615231591f, -0.788346428f,
+ 0.634393284f, -0.773010453f,
+ 0.653172843f, -0.757208847f,
+ 0.671558955f, -0.740951125f,
+ 0.689540545f, -0.724247083f,
+ 0.707106781f, -0.707106781f,
+ 0.724247083f, -0.689540545f,
+ 0.740951125f, -0.671558955f,
+ 0.757208847f, -0.653172843f,
+ 0.773010453f, -0.634393284f,
+ 0.788346428f, -0.615231591f,
+ 0.803207531f, -0.595699304f,
+ 0.817584813f, -0.575808191f,
+ 0.831469612f, -0.555570233f,
+ 0.844853565f, -0.534997620f,
+ 0.857728610f, -0.514102744f,
+ 0.870086991f, -0.492898192f,
+ 0.881921264f, -0.471396737f,
+ 0.893224301f, -0.449611330f,
+ 0.903989293f, -0.427555093f,
+ 0.914209756f, -0.405241314f,
+ 0.923879533f, -0.382683432f,
+ 0.932992799f, -0.359895037f,
+ 0.941544065f, -0.336889853f,
+ 0.949528181f, -0.313681740f,
+ 0.956940336f, -0.290284677f,
+ 0.963776066f, -0.266712757f,
+ 0.970031253f, -0.242980180f,
+ 0.975702130f, -0.219101240f,
+ 0.980785280f, -0.195090322f,
+ 0.985277642f, -0.170961889f,
+ 0.989176510f, -0.146730474f,
+ 0.992479535f, -0.122410675f,
+ 0.995184727f, -0.098017140f,
+ 0.997290457f, -0.073564564f,
+ 0.998795456f, -0.049067674f,
+ 0.999698819f, -0.024541229f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_512[1024] = {
+ 1.000000000f, 0.000000000f,
+ 0.999924702f, 0.012271538f,
+ 0.999698819f, 0.024541229f,
+ 0.999322385f, 0.036807223f,
+ 0.998795456f, 0.049067674f,
+ 0.998118113f, 0.061320736f,
+ 0.997290457f, 0.073564564f,
+ 0.996312612f, 0.085797312f,
+ 0.995184727f, 0.098017140f,
+ 0.993906970f, 0.110222207f,
+ 0.992479535f, 0.122410675f,
+ 0.990902635f, 0.134580709f,
+ 0.989176510f, 0.146730474f,
+ 0.987301418f, 0.158858143f,
+ 0.985277642f, 0.170961889f,
+ 0.983105487f, 0.183039888f,
+ 0.980785280f, 0.195090322f,
+ 0.978317371f, 0.207111376f,
+ 0.975702130f, 0.219101240f,
+ 0.972939952f, 0.231058108f,
+ 0.970031253f, 0.242980180f,
+ 0.966976471f, 0.254865660f,
+ 0.963776066f, 0.266712757f,
+ 0.960430519f, 0.278519689f,
+ 0.956940336f, 0.290284677f,
+ 0.953306040f, 0.302005949f,
+ 0.949528181f, 0.313681740f,
+ 0.945607325f, 0.325310292f,
+ 0.941544065f, 0.336889853f,
+ 0.937339012f, 0.348418680f,
+ 0.932992799f, 0.359895037f,
+ 0.928506080f, 0.371317194f,
+ 0.923879533f, 0.382683432f,
+ 0.919113852f, 0.393992040f,
+ 0.914209756f, 0.405241314f,
+ 0.909167983f, 0.416429560f,
+ 0.903989293f, 0.427555093f,
+ 0.898674466f, 0.438616239f,
+ 0.893224301f, 0.449611330f,
+ 0.887639620f, 0.460538711f,
+ 0.881921264f, 0.471396737f,
+ 0.876070094f, 0.482183772f,
+ 0.870086991f, 0.492898192f,
+ 0.863972856f, 0.503538384f,
+ 0.857728610f, 0.514102744f,
+ 0.851355193f, 0.524589683f,
+ 0.844853565f, 0.534997620f,
+ 0.838224706f, 0.545324988f,
+ 0.831469612f, 0.555570233f,
+ 0.824589303f, 0.565731811f,
+ 0.817584813f, 0.575808191f,
+ 0.810457198f, 0.585797857f,
+ 0.803207531f, 0.595699304f,
+ 0.795836905f, 0.605511041f,
+ 0.788346428f, 0.615231591f,
+ 0.780737229f, 0.624859488f,
+ 0.773010453f, 0.634393284f,
+ 0.765167266f, 0.643831543f,
+ 0.757208847f, 0.653172843f,
+ 0.749136395f, 0.662415778f,
+ 0.740951125f, 0.671558955f,
+ 0.732654272f, 0.680600998f,
+ 0.724247083f, 0.689540545f,
+ 0.715730825f, 0.698376249f,
+ 0.707106781f, 0.707106781f,
+ 0.698376249f, 0.715730825f,
+ 0.689540545f, 0.724247083f,
+ 0.680600998f, 0.732654272f,
+ 0.671558955f, 0.740951125f,
+ 0.662415778f, 0.749136395f,
+ 0.653172843f, 0.757208847f,
+ 0.643831543f, 0.765167266f,
+ 0.634393284f, 0.773010453f,
+ 0.624859488f, 0.780737229f,
+ 0.615231591f, 0.788346428f,
+ 0.605511041f, 0.795836905f,
+ 0.595699304f, 0.803207531f,
+ 0.585797857f, 0.810457198f,
+ 0.575808191f, 0.817584813f,
+ 0.565731811f, 0.824589303f,
+ 0.555570233f, 0.831469612f,
+ 0.545324988f, 0.838224706f,
+ 0.534997620f, 0.844853565f,
+ 0.524589683f, 0.851355193f,
+ 0.514102744f, 0.857728610f,
+ 0.503538384f, 0.863972856f,
+ 0.492898192f, 0.870086991f,
+ 0.482183772f, 0.876070094f,
+ 0.471396737f, 0.881921264f,
+ 0.460538711f, 0.887639620f,
+ 0.449611330f, 0.893224301f,
+ 0.438616239f, 0.898674466f,
+ 0.427555093f, 0.903989293f,
+ 0.416429560f, 0.909167983f,
+ 0.405241314f, 0.914209756f,
+ 0.393992040f, 0.919113852f,
+ 0.382683432f, 0.923879533f,
+ 0.371317194f, 0.928506080f,
+ 0.359895037f, 0.932992799f,
+ 0.348418680f, 0.937339012f,
+ 0.336889853f, 0.941544065f,
+ 0.325310292f, 0.945607325f,
+ 0.313681740f, 0.949528181f,
+ 0.302005949f, 0.953306040f,
+ 0.290284677f, 0.956940336f,
+ 0.278519689f, 0.960430519f,
+ 0.266712757f, 0.963776066f,
+ 0.254865660f, 0.966976471f,
+ 0.242980180f, 0.970031253f,
+ 0.231058108f, 0.972939952f,
+ 0.219101240f, 0.975702130f,
+ 0.207111376f, 0.978317371f,
+ 0.195090322f, 0.980785280f,
+ 0.183039888f, 0.983105487f,
+ 0.170961889f, 0.985277642f,
+ 0.158858143f, 0.987301418f,
+ 0.146730474f, 0.989176510f,
+ 0.134580709f, 0.990902635f,
+ 0.122410675f, 0.992479535f,
+ 0.110222207f, 0.993906970f,
+ 0.098017140f, 0.995184727f,
+ 0.085797312f, 0.996312612f,
+ 0.073564564f, 0.997290457f,
+ 0.061320736f, 0.998118113f,
+ 0.049067674f, 0.998795456f,
+ 0.036807223f, 0.999322385f,
+ 0.024541229f, 0.999698819f,
+ 0.012271538f, 0.999924702f,
+ 0.000000000f, 1.000000000f,
+ -0.012271538f, 0.999924702f,
+ -0.024541229f, 0.999698819f,
+ -0.036807223f, 0.999322385f,
+ -0.049067674f, 0.998795456f,
+ -0.061320736f, 0.998118113f,
+ -0.073564564f, 0.997290457f,
+ -0.085797312f, 0.996312612f,
+ -0.098017140f, 0.995184727f,
+ -0.110222207f, 0.993906970f,
+ -0.122410675f, 0.992479535f,
+ -0.134580709f, 0.990902635f,
+ -0.146730474f, 0.989176510f,
+ -0.158858143f, 0.987301418f,
+ -0.170961889f, 0.985277642f,
+ -0.183039888f, 0.983105487f,
+ -0.195090322f, 0.980785280f,
+ -0.207111376f, 0.978317371f,
+ -0.219101240f, 0.975702130f,
+ -0.231058108f, 0.972939952f,
+ -0.242980180f, 0.970031253f,
+ -0.254865660f, 0.966976471f,
+ -0.266712757f, 0.963776066f,
+ -0.278519689f, 0.960430519f,
+ -0.290284677f, 0.956940336f,
+ -0.302005949f, 0.953306040f,
+ -0.313681740f, 0.949528181f,
+ -0.325310292f, 0.945607325f,
+ -0.336889853f, 0.941544065f,
+ -0.348418680f, 0.937339012f,
+ -0.359895037f, 0.932992799f,
+ -0.371317194f, 0.928506080f,
+ -0.382683432f, 0.923879533f,
+ -0.393992040f, 0.919113852f,
+ -0.405241314f, 0.914209756f,
+ -0.416429560f, 0.909167983f,
+ -0.427555093f, 0.903989293f,
+ -0.438616239f, 0.898674466f,
+ -0.449611330f, 0.893224301f,
+ -0.460538711f, 0.887639620f,
+ -0.471396737f, 0.881921264f,
+ -0.482183772f, 0.876070094f,
+ -0.492898192f, 0.870086991f,
+ -0.503538384f, 0.863972856f,
+ -0.514102744f, 0.857728610f,
+ -0.524589683f, 0.851355193f,
+ -0.534997620f, 0.844853565f,
+ -0.545324988f, 0.838224706f,
+ -0.555570233f, 0.831469612f,
+ -0.565731811f, 0.824589303f,
+ -0.575808191f, 0.817584813f,
+ -0.585797857f, 0.810457198f,
+ -0.595699304f, 0.803207531f,
+ -0.605511041f, 0.795836905f,
+ -0.615231591f, 0.788346428f,
+ -0.624859488f, 0.780737229f,
+ -0.634393284f, 0.773010453f,
+ -0.643831543f, 0.765167266f,
+ -0.653172843f, 0.757208847f,
+ -0.662415778f, 0.749136395f,
+ -0.671558955f, 0.740951125f,
+ -0.680600998f, 0.732654272f,
+ -0.689540545f, 0.724247083f,
+ -0.698376249f, 0.715730825f,
+ -0.707106781f, 0.707106781f,
+ -0.715730825f, 0.698376249f,
+ -0.724247083f, 0.689540545f,
+ -0.732654272f, 0.680600998f,
+ -0.740951125f, 0.671558955f,
+ -0.749136395f, 0.662415778f,
+ -0.757208847f, 0.653172843f,
+ -0.765167266f, 0.643831543f,
+ -0.773010453f, 0.634393284f,
+ -0.780737229f, 0.624859488f,
+ -0.788346428f, 0.615231591f,
+ -0.795836905f, 0.605511041f,
+ -0.803207531f, 0.595699304f,
+ -0.810457198f, 0.585797857f,
+ -0.817584813f, 0.575808191f,
+ -0.824589303f, 0.565731811f,
+ -0.831469612f, 0.555570233f,
+ -0.838224706f, 0.545324988f,
+ -0.844853565f, 0.534997620f,
+ -0.851355193f, 0.524589683f,
+ -0.857728610f, 0.514102744f,
+ -0.863972856f, 0.503538384f,
+ -0.870086991f, 0.492898192f,
+ -0.876070094f, 0.482183772f,
+ -0.881921264f, 0.471396737f,
+ -0.887639620f, 0.460538711f,
+ -0.893224301f, 0.449611330f,
+ -0.898674466f, 0.438616239f,
+ -0.903989293f, 0.427555093f,
+ -0.909167983f, 0.416429560f,
+ -0.914209756f, 0.405241314f,
+ -0.919113852f, 0.393992040f,
+ -0.923879533f, 0.382683432f,
+ -0.928506080f, 0.371317194f,
+ -0.932992799f, 0.359895037f,
+ -0.937339012f, 0.348418680f,
+ -0.941544065f, 0.336889853f,
+ -0.945607325f, 0.325310292f,
+ -0.949528181f, 0.313681740f,
+ -0.953306040f, 0.302005949f,
+ -0.956940336f, 0.290284677f,
+ -0.960430519f, 0.278519689f,
+ -0.963776066f, 0.266712757f,
+ -0.966976471f, 0.254865660f,
+ -0.970031253f, 0.242980180f,
+ -0.972939952f, 0.231058108f,
+ -0.975702130f, 0.219101240f,
+ -0.978317371f, 0.207111376f,
+ -0.980785280f, 0.195090322f,
+ -0.983105487f, 0.183039888f,
+ -0.985277642f, 0.170961889f,
+ -0.987301418f, 0.158858143f,
+ -0.989176510f, 0.146730474f,
+ -0.990902635f, 0.134580709f,
+ -0.992479535f, 0.122410675f,
+ -0.993906970f, 0.110222207f,
+ -0.995184727f, 0.098017140f,
+ -0.996312612f, 0.085797312f,
+ -0.997290457f, 0.073564564f,
+ -0.998118113f, 0.061320736f,
+ -0.998795456f, 0.049067674f,
+ -0.999322385f, 0.036807223f,
+ -0.999698819f, 0.024541229f,
+ -0.999924702f, 0.012271538f,
+ -1.000000000f, 0.000000000f,
+ -0.999924702f, -0.012271538f,
+ -0.999698819f, -0.024541229f,
+ -0.999322385f, -0.036807223f,
+ -0.998795456f, -0.049067674f,
+ -0.998118113f, -0.061320736f,
+ -0.997290457f, -0.073564564f,
+ -0.996312612f, -0.085797312f,
+ -0.995184727f, -0.098017140f,
+ -0.993906970f, -0.110222207f,
+ -0.992479535f, -0.122410675f,
+ -0.990902635f, -0.134580709f,
+ -0.989176510f, -0.146730474f,
+ -0.987301418f, -0.158858143f,
+ -0.985277642f, -0.170961889f,
+ -0.983105487f, -0.183039888f,
+ -0.980785280f, -0.195090322f,
+ -0.978317371f, -0.207111376f,
+ -0.975702130f, -0.219101240f,
+ -0.972939952f, -0.231058108f,
+ -0.970031253f, -0.242980180f,
+ -0.966976471f, -0.254865660f,
+ -0.963776066f, -0.266712757f,
+ -0.960430519f, -0.278519689f,
+ -0.956940336f, -0.290284677f,
+ -0.953306040f, -0.302005949f,
+ -0.949528181f, -0.313681740f,
+ -0.945607325f, -0.325310292f,
+ -0.941544065f, -0.336889853f,
+ -0.937339012f, -0.348418680f,
+ -0.932992799f, -0.359895037f,
+ -0.928506080f, -0.371317194f,
+ -0.923879533f, -0.382683432f,
+ -0.919113852f, -0.393992040f,
+ -0.914209756f, -0.405241314f,
+ -0.909167983f, -0.416429560f,
+ -0.903989293f, -0.427555093f,
+ -0.898674466f, -0.438616239f,
+ -0.893224301f, -0.449611330f,
+ -0.887639620f, -0.460538711f,
+ -0.881921264f, -0.471396737f,
+ -0.876070094f, -0.482183772f,
+ -0.870086991f, -0.492898192f,
+ -0.863972856f, -0.503538384f,
+ -0.857728610f, -0.514102744f,
+ -0.851355193f, -0.524589683f,
+ -0.844853565f, -0.534997620f,
+ -0.838224706f, -0.545324988f,
+ -0.831469612f, -0.555570233f,
+ -0.824589303f, -0.565731811f,
+ -0.817584813f, -0.575808191f,
+ -0.810457198f, -0.585797857f,
+ -0.803207531f, -0.595699304f,
+ -0.795836905f, -0.605511041f,
+ -0.788346428f, -0.615231591f,
+ -0.780737229f, -0.624859488f,
+ -0.773010453f, -0.634393284f,
+ -0.765167266f, -0.643831543f,
+ -0.757208847f, -0.653172843f,
+ -0.749136395f, -0.662415778f,
+ -0.740951125f, -0.671558955f,
+ -0.732654272f, -0.680600998f,
+ -0.724247083f, -0.689540545f,
+ -0.715730825f, -0.698376249f,
+ -0.707106781f, -0.707106781f,
+ -0.698376249f, -0.715730825f,
+ -0.689540545f, -0.724247083f,
+ -0.680600998f, -0.732654272f,
+ -0.671558955f, -0.740951125f,
+ -0.662415778f, -0.749136395f,
+ -0.653172843f, -0.757208847f,
+ -0.643831543f, -0.765167266f,
+ -0.634393284f, -0.773010453f,
+ -0.624859488f, -0.780737229f,
+ -0.615231591f, -0.788346428f,
+ -0.605511041f, -0.795836905f,
+ -0.595699304f, -0.803207531f,
+ -0.585797857f, -0.810457198f,
+ -0.575808191f, -0.817584813f,
+ -0.565731811f, -0.824589303f,
+ -0.555570233f, -0.831469612f,
+ -0.545324988f, -0.838224706f,
+ -0.534997620f, -0.844853565f,
+ -0.524589683f, -0.851355193f,
+ -0.514102744f, -0.857728610f,
+ -0.503538384f, -0.863972856f,
+ -0.492898192f, -0.870086991f,
+ -0.482183772f, -0.876070094f,
+ -0.471396737f, -0.881921264f,
+ -0.460538711f, -0.887639620f,
+ -0.449611330f, -0.893224301f,
+ -0.438616239f, -0.898674466f,
+ -0.427555093f, -0.903989293f,
+ -0.416429560f, -0.909167983f,
+ -0.405241314f, -0.914209756f,
+ -0.393992040f, -0.919113852f,
+ -0.382683432f, -0.923879533f,
+ -0.371317194f, -0.928506080f,
+ -0.359895037f, -0.932992799f,
+ -0.348418680f, -0.937339012f,
+ -0.336889853f, -0.941544065f,
+ -0.325310292f, -0.945607325f,
+ -0.313681740f, -0.949528181f,
+ -0.302005949f, -0.953306040f,
+ -0.290284677f, -0.956940336f,
+ -0.278519689f, -0.960430519f,
+ -0.266712757f, -0.963776066f,
+ -0.254865660f, -0.966976471f,
+ -0.242980180f, -0.970031253f,
+ -0.231058108f, -0.972939952f,
+ -0.219101240f, -0.975702130f,
+ -0.207111376f, -0.978317371f,
+ -0.195090322f, -0.980785280f,
+ -0.183039888f, -0.983105487f,
+ -0.170961889f, -0.985277642f,
+ -0.158858143f, -0.987301418f,
+ -0.146730474f, -0.989176510f,
+ -0.134580709f, -0.990902635f,
+ -0.122410675f, -0.992479535f,
+ -0.110222207f, -0.993906970f,
+ -0.098017140f, -0.995184727f,
+ -0.085797312f, -0.996312612f,
+ -0.073564564f, -0.997290457f,
+ -0.061320736f, -0.998118113f,
+ -0.049067674f, -0.998795456f,
+ -0.036807223f, -0.999322385f,
+ -0.024541229f, -0.999698819f,
+ -0.012271538f, -0.999924702f,
+ -0.000000000f, -1.000000000f,
+ 0.012271538f, -0.999924702f,
+ 0.024541229f, -0.999698819f,
+ 0.036807223f, -0.999322385f,
+ 0.049067674f, -0.998795456f,
+ 0.061320736f, -0.998118113f,
+ 0.073564564f, -0.997290457f,
+ 0.085797312f, -0.996312612f,
+ 0.098017140f, -0.995184727f,
+ 0.110222207f, -0.993906970f,
+ 0.122410675f, -0.992479535f,
+ 0.134580709f, -0.990902635f,
+ 0.146730474f, -0.989176510f,
+ 0.158858143f, -0.987301418f,
+ 0.170961889f, -0.985277642f,
+ 0.183039888f, -0.983105487f,
+ 0.195090322f, -0.980785280f,
+ 0.207111376f, -0.978317371f,
+ 0.219101240f, -0.975702130f,
+ 0.231058108f, -0.972939952f,
+ 0.242980180f, -0.970031253f,
+ 0.254865660f, -0.966976471f,
+ 0.266712757f, -0.963776066f,
+ 0.278519689f, -0.960430519f,
+ 0.290284677f, -0.956940336f,
+ 0.302005949f, -0.953306040f,
+ 0.313681740f, -0.949528181f,
+ 0.325310292f, -0.945607325f,
+ 0.336889853f, -0.941544065f,
+ 0.348418680f, -0.937339012f,
+ 0.359895037f, -0.932992799f,
+ 0.371317194f, -0.928506080f,
+ 0.382683432f, -0.923879533f,
+ 0.393992040f, -0.919113852f,
+ 0.405241314f, -0.914209756f,
+ 0.416429560f, -0.909167983f,
+ 0.427555093f, -0.903989293f,
+ 0.438616239f, -0.898674466f,
+ 0.449611330f, -0.893224301f,
+ 0.460538711f, -0.887639620f,
+ 0.471396737f, -0.881921264f,
+ 0.482183772f, -0.876070094f,
+ 0.492898192f, -0.870086991f,
+ 0.503538384f, -0.863972856f,
+ 0.514102744f, -0.857728610f,
+ 0.524589683f, -0.851355193f,
+ 0.534997620f, -0.844853565f,
+ 0.545324988f, -0.838224706f,
+ 0.555570233f, -0.831469612f,
+ 0.565731811f, -0.824589303f,
+ 0.575808191f, -0.817584813f,
+ 0.585797857f, -0.810457198f,
+ 0.595699304f, -0.803207531f,
+ 0.605511041f, -0.795836905f,
+ 0.615231591f, -0.788346428f,
+ 0.624859488f, -0.780737229f,
+ 0.634393284f, -0.773010453f,
+ 0.643831543f, -0.765167266f,
+ 0.653172843f, -0.757208847f,
+ 0.662415778f, -0.749136395f,
+ 0.671558955f, -0.740951125f,
+ 0.680600998f, -0.732654272f,
+ 0.689540545f, -0.724247083f,
+ 0.698376249f, -0.715730825f,
+ 0.707106781f, -0.707106781f,
+ 0.715730825f, -0.698376249f,
+ 0.724247083f, -0.689540545f,
+ 0.732654272f, -0.680600998f,
+ 0.740951125f, -0.671558955f,
+ 0.749136395f, -0.662415778f,
+ 0.757208847f, -0.653172843f,
+ 0.765167266f, -0.643831543f,
+ 0.773010453f, -0.634393284f,
+ 0.780737229f, -0.624859488f,
+ 0.788346428f, -0.615231591f,
+ 0.795836905f, -0.605511041f,
+ 0.803207531f, -0.595699304f,
+ 0.810457198f, -0.585797857f,
+ 0.817584813f, -0.575808191f,
+ 0.824589303f, -0.565731811f,
+ 0.831469612f, -0.555570233f,
+ 0.838224706f, -0.545324988f,
+ 0.844853565f, -0.534997620f,
+ 0.851355193f, -0.524589683f,
+ 0.857728610f, -0.514102744f,
+ 0.863972856f, -0.503538384f,
+ 0.870086991f, -0.492898192f,
+ 0.876070094f, -0.482183772f,
+ 0.881921264f, -0.471396737f,
+ 0.887639620f, -0.460538711f,
+ 0.893224301f, -0.449611330f,
+ 0.898674466f, -0.438616239f,
+ 0.903989293f, -0.427555093f,
+ 0.909167983f, -0.416429560f,
+ 0.914209756f, -0.405241314f,
+ 0.919113852f, -0.393992040f,
+ 0.923879533f, -0.382683432f,
+ 0.928506080f, -0.371317194f,
+ 0.932992799f, -0.359895037f,
+ 0.937339012f, -0.348418680f,
+ 0.941544065f, -0.336889853f,
+ 0.945607325f, -0.325310292f,
+ 0.949528181f, -0.313681740f,
+ 0.953306040f, -0.302005949f,
+ 0.956940336f, -0.290284677f,
+ 0.960430519f, -0.278519689f,
+ 0.963776066f, -0.266712757f,
+ 0.966976471f, -0.254865660f,
+ 0.970031253f, -0.242980180f,
+ 0.972939952f, -0.231058108f,
+ 0.975702130f, -0.219101240f,
+ 0.978317371f, -0.207111376f,
+ 0.980785280f, -0.195090322f,
+ 0.983105487f, -0.183039888f,
+ 0.985277642f, -0.170961889f,
+ 0.987301418f, -0.158858143f,
+ 0.989176510f, -0.146730474f,
+ 0.990902635f, -0.134580709f,
+ 0.992479535f, -0.122410675f,
+ 0.993906970f, -0.110222207f,
+ 0.995184727f, -0.098017140f,
+ 0.996312612f, -0.085797312f,
+ 0.997290457f, -0.073564564f,
+ 0.998118113f, -0.061320736f,
+ 0.998795456f, -0.049067674f,
+ 0.999322385f, -0.036807223f,
+ 0.999698819f, -0.024541229f,
+ 0.999924702f, -0.012271538f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_1024[2048] = {
+ 1.000000000f, 0.000000000f,
+ 0.999981175f, 0.006135885f,
+ 0.999924702f, 0.012271538f,
+ 0.999830582f, 0.018406730f,
+ 0.999698819f, 0.024541229f,
+ 0.999529418f, 0.030674803f,
+ 0.999322385f, 0.036807223f,
+ 0.999077728f, 0.042938257f,
+ 0.998795456f, 0.049067674f,
+ 0.998475581f, 0.055195244f,
+ 0.998118113f, 0.061320736f,
+ 0.997723067f, 0.067443920f,
+ 0.997290457f, 0.073564564f,
+ 0.996820299f, 0.079682438f,
+ 0.996312612f, 0.085797312f,
+ 0.995767414f, 0.091908956f,
+ 0.995184727f, 0.098017140f,
+ 0.994564571f, 0.104121634f,
+ 0.993906970f, 0.110222207f,
+ 0.993211949f, 0.116318631f,
+ 0.992479535f, 0.122410675f,
+ 0.991709754f, 0.128498111f,
+ 0.990902635f, 0.134580709f,
+ 0.990058210f, 0.140658239f,
+ 0.989176510f, 0.146730474f,
+ 0.988257568f, 0.152797185f,
+ 0.987301418f, 0.158858143f,
+ 0.986308097f, 0.164913120f,
+ 0.985277642f, 0.170961889f,
+ 0.984210092f, 0.177004220f,
+ 0.983105487f, 0.183039888f,
+ 0.981963869f, 0.189068664f,
+ 0.980785280f, 0.195090322f,
+ 0.979569766f, 0.201104635f,
+ 0.978317371f, 0.207111376f,
+ 0.977028143f, 0.213110320f,
+ 0.975702130f, 0.219101240f,
+ 0.974339383f, 0.225083911f,
+ 0.972939952f, 0.231058108f,
+ 0.971503891f, 0.237023606f,
+ 0.970031253f, 0.242980180f,
+ 0.968522094f, 0.248927606f,
+ 0.966976471f, 0.254865660f,
+ 0.965394442f, 0.260794118f,
+ 0.963776066f, 0.266712757f,
+ 0.962121404f, 0.272621355f,
+ 0.960430519f, 0.278519689f,
+ 0.958703475f, 0.284407537f,
+ 0.956940336f, 0.290284677f,
+ 0.955141168f, 0.296150888f,
+ 0.953306040f, 0.302005949f,
+ 0.951435021f, 0.307849640f,
+ 0.949528181f, 0.313681740f,
+ 0.947585591f, 0.319502031f,
+ 0.945607325f, 0.325310292f,
+ 0.943593458f, 0.331106306f,
+ 0.941544065f, 0.336889853f,
+ 0.939459224f, 0.342660717f,
+ 0.937339012f, 0.348418680f,
+ 0.935183510f, 0.354163525f,
+ 0.932992799f, 0.359895037f,
+ 0.930766961f, 0.365612998f,
+ 0.928506080f, 0.371317194f,
+ 0.926210242f, 0.377007410f,
+ 0.923879533f, 0.382683432f,
+ 0.921514039f, 0.388345047f,
+ 0.919113852f, 0.393992040f,
+ 0.916679060f, 0.399624200f,
+ 0.914209756f, 0.405241314f,
+ 0.911706032f, 0.410843171f,
+ 0.909167983f, 0.416429560f,
+ 0.906595705f, 0.422000271f,
+ 0.903989293f, 0.427555093f,
+ 0.901348847f, 0.433093819f,
+ 0.898674466f, 0.438616239f,
+ 0.895966250f, 0.444122145f,
+ 0.893224301f, 0.449611330f,
+ 0.890448723f, 0.455083587f,
+ 0.887639620f, 0.460538711f,
+ 0.884797098f, 0.465976496f,
+ 0.881921264f, 0.471396737f,
+ 0.879012226f, 0.476799230f,
+ 0.876070094f, 0.482183772f,
+ 0.873094978f, 0.487550160f,
+ 0.870086991f, 0.492898192f,
+ 0.867046246f, 0.498227667f,
+ 0.863972856f, 0.503538384f,
+ 0.860866939f, 0.508830143f,
+ 0.857728610f, 0.514102744f,
+ 0.854557988f, 0.519355990f,
+ 0.851355193f, 0.524589683f,
+ 0.848120345f, 0.529803625f,
+ 0.844853565f, 0.534997620f,
+ 0.841554977f, 0.540171473f,
+ 0.838224706f, 0.545324988f,
+ 0.834862875f, 0.550457973f,
+ 0.831469612f, 0.555570233f,
+ 0.828045045f, 0.560661576f,
+ 0.824589303f, 0.565731811f,
+ 0.821102515f, 0.570780746f,
+ 0.817584813f, 0.575808191f,
+ 0.814036330f, 0.580813958f,
+ 0.810457198f, 0.585797857f,
+ 0.806847554f, 0.590759702f,
+ 0.803207531f, 0.595699304f,
+ 0.799537269f, 0.600616479f,
+ 0.795836905f, 0.605511041f,
+ 0.792106577f, 0.610382806f,
+ 0.788346428f, 0.615231591f,
+ 0.784556597f, 0.620057212f,
+ 0.780737229f, 0.624859488f,
+ 0.776888466f, 0.629638239f,
+ 0.773010453f, 0.634393284f,
+ 0.769103338f, 0.639124445f,
+ 0.765167266f, 0.643831543f,
+ 0.761202385f, 0.648514401f,
+ 0.757208847f, 0.653172843f,
+ 0.753186799f, 0.657806693f,
+ 0.749136395f, 0.662415778f,
+ 0.745057785f, 0.666999922f,
+ 0.740951125f, 0.671558955f,
+ 0.736816569f, 0.676092704f,
+ 0.732654272f, 0.680600998f,
+ 0.728464390f, 0.685083668f,
+ 0.724247083f, 0.689540545f,
+ 0.720002508f, 0.693971461f,
+ 0.715730825f, 0.698376249f,
+ 0.711432196f, 0.702754744f,
+ 0.707106781f, 0.707106781f,
+ 0.702754744f, 0.711432196f,
+ 0.698376249f, 0.715730825f,
+ 0.693971461f, 0.720002508f,
+ 0.689540545f, 0.724247083f,
+ 0.685083668f, 0.728464390f,
+ 0.680600998f, 0.732654272f,
+ 0.676092704f, 0.736816569f,
+ 0.671558955f, 0.740951125f,
+ 0.666999922f, 0.745057785f,
+ 0.662415778f, 0.749136395f,
+ 0.657806693f, 0.753186799f,
+ 0.653172843f, 0.757208847f,
+ 0.648514401f, 0.761202385f,
+ 0.643831543f, 0.765167266f,
+ 0.639124445f, 0.769103338f,
+ 0.634393284f, 0.773010453f,
+ 0.629638239f, 0.776888466f,
+ 0.624859488f, 0.780737229f,
+ 0.620057212f, 0.784556597f,
+ 0.615231591f, 0.788346428f,
+ 0.610382806f, 0.792106577f,
+ 0.605511041f, 0.795836905f,
+ 0.600616479f, 0.799537269f,
+ 0.595699304f, 0.803207531f,
+ 0.590759702f, 0.806847554f,
+ 0.585797857f, 0.810457198f,
+ 0.580813958f, 0.814036330f,
+ 0.575808191f, 0.817584813f,
+ 0.570780746f, 0.821102515f,
+ 0.565731811f, 0.824589303f,
+ 0.560661576f, 0.828045045f,
+ 0.555570233f, 0.831469612f,
+ 0.550457973f, 0.834862875f,
+ 0.545324988f, 0.838224706f,
+ 0.540171473f, 0.841554977f,
+ 0.534997620f, 0.844853565f,
+ 0.529803625f, 0.848120345f,
+ 0.524589683f, 0.851355193f,
+ 0.519355990f, 0.854557988f,
+ 0.514102744f, 0.857728610f,
+ 0.508830143f, 0.860866939f,
+ 0.503538384f, 0.863972856f,
+ 0.498227667f, 0.867046246f,
+ 0.492898192f, 0.870086991f,
+ 0.487550160f, 0.873094978f,
+ 0.482183772f, 0.876070094f,
+ 0.476799230f, 0.879012226f,
+ 0.471396737f, 0.881921264f,
+ 0.465976496f, 0.884797098f,
+ 0.460538711f, 0.887639620f,
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+ 0.980785280f, -0.195090322f,
+ 0.981963869f, -0.189068664f,
+ 0.983105487f, -0.183039888f,
+ 0.984210092f, -0.177004220f,
+ 0.985277642f, -0.170961889f,
+ 0.986308097f, -0.164913120f,
+ 0.987301418f, -0.158858143f,
+ 0.988257568f, -0.152797185f,
+ 0.989176510f, -0.146730474f,
+ 0.990058210f, -0.140658239f,
+ 0.990902635f, -0.134580709f,
+ 0.991709754f, -0.128498111f,
+ 0.992479535f, -0.122410675f,
+ 0.993211949f, -0.116318631f,
+ 0.993906970f, -0.110222207f,
+ 0.994564571f, -0.104121634f,
+ 0.995184727f, -0.098017140f,
+ 0.995767414f, -0.091908956f,
+ 0.996312612f, -0.085797312f,
+ 0.996820299f, -0.079682438f,
+ 0.997290457f, -0.073564564f,
+ 0.997723067f, -0.067443920f,
+ 0.998118113f, -0.061320736f,
+ 0.998475581f, -0.055195244f,
+ 0.998795456f, -0.049067674f,
+ 0.999077728f, -0.042938257f,
+ 0.999322385f, -0.036807223f,
+ 0.999529418f, -0.030674803f,
+ 0.999698819f, -0.024541229f,
+ 0.999830582f, -0.018406730f,
+ 0.999924702f, -0.012271538f,
+ 0.999981175f, -0.006135885f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_2048[4096] = {
+ 1.000000000f, 0.000000000f,
+ 0.999995294f, 0.003067957f,
+ 0.999981175f, 0.006135885f,
+ 0.999957645f, 0.009203755f,
+ 0.999924702f, 0.012271538f,
+ 0.999882347f, 0.015339206f,
+ 0.999830582f, 0.018406730f,
+ 0.999769405f, 0.021474080f,
+ 0.999698819f, 0.024541229f,
+ 0.999618822f, 0.027608146f,
+ 0.999529418f, 0.030674803f,
+ 0.999430605f, 0.033741172f,
+ 0.999322385f, 0.036807223f,
+ 0.999204759f, 0.039872928f,
+ 0.999077728f, 0.042938257f,
+ 0.998941293f, 0.046003182f,
+ 0.998795456f, 0.049067674f,
+ 0.998640218f, 0.052131705f,
+ 0.998475581f, 0.055195244f,
+ 0.998301545f, 0.058258265f,
+ 0.998118113f, 0.061320736f,
+ 0.997925286f, 0.064382631f,
+ 0.997723067f, 0.067443920f,
+ 0.997511456f, 0.070504573f,
+ 0.997290457f, 0.073564564f,
+ 0.997060070f, 0.076623861f,
+ 0.996820299f, 0.079682438f,
+ 0.996571146f, 0.082740265f,
+ 0.996312612f, 0.085797312f,
+ 0.996044701f, 0.088853553f,
+ 0.995767414f, 0.091908956f,
+ 0.995480755f, 0.094963495f,
+ 0.995184727f, 0.098017140f,
+ 0.994879331f, 0.101069863f,
+ 0.994564571f, 0.104121634f,
+ 0.994240449f, 0.107172425f,
+ 0.993906970f, 0.110222207f,
+ 0.993564136f, 0.113270952f,
+ 0.993211949f, 0.116318631f,
+ 0.992850414f, 0.119365215f,
+ 0.992479535f, 0.122410675f,
+ 0.992099313f, 0.125454983f,
+ 0.991709754f, 0.128498111f,
+ 0.991310860f, 0.131540029f,
+ 0.990902635f, 0.134580709f,
+ 0.990485084f, 0.137620122f,
+ 0.990058210f, 0.140658239f,
+ 0.989622017f, 0.143695033f,
+ 0.989176510f, 0.146730474f,
+ 0.988721692f, 0.149764535f,
+ 0.988257568f, 0.152797185f,
+ 0.987784142f, 0.155828398f,
+ 0.987301418f, 0.158858143f,
+ 0.986809402f, 0.161886394f,
+ 0.986308097f, 0.164913120f,
+ 0.985797509f, 0.167938295f,
+ 0.985277642f, 0.170961889f,
+ 0.984748502f, 0.173983873f,
+ 0.984210092f, 0.177004220f,
+ 0.983662419f, 0.180022901f,
+ 0.983105487f, 0.183039888f,
+ 0.982539302f, 0.186055152f,
+ 0.981963869f, 0.189068664f,
+ 0.981379193f, 0.192080397f,
+ 0.980785280f, 0.195090322f,
+ 0.980182136f, 0.198098411f,
+ 0.979569766f, 0.201104635f,
+ 0.978948175f, 0.204108966f,
+ 0.978317371f, 0.207111376f,
+ 0.977677358f, 0.210111837f,
+ 0.977028143f, 0.213110320f,
+ 0.976369731f, 0.216106797f,
+ 0.975702130f, 0.219101240f,
+ 0.975025345f, 0.222093621f,
+ 0.974339383f, 0.225083911f,
+ 0.973644250f, 0.228072083f,
+ 0.972939952f, 0.231058108f,
+ 0.972226497f, 0.234041959f,
+ 0.971503891f, 0.237023606f,
+ 0.970772141f, 0.240003022f,
+ 0.970031253f, 0.242980180f,
+ 0.969281235f, 0.245955050f,
+ 0.968522094f, 0.248927606f,
+ 0.967753837f, 0.251897818f,
+ 0.966976471f, 0.254865660f,
+ 0.966190003f, 0.257831102f,
+ 0.965394442f, 0.260794118f,
+ 0.964589793f, 0.263754679f,
+ 0.963776066f, 0.266712757f,
+ 0.962953267f, 0.269668326f,
+ 0.962121404f, 0.272621355f,
+ 0.961280486f, 0.275571819f,
+ 0.960430519f, 0.278519689f,
+ 0.959571513f, 0.281464938f,
+ 0.958703475f, 0.284407537f,
+ 0.957826413f, 0.287347460f,
+ 0.956940336f, 0.290284677f,
+ 0.956045251f, 0.293219163f,
+ 0.955141168f, 0.296150888f,
+ 0.954228095f, 0.299079826f,
+ 0.953306040f, 0.302005949f,
+ 0.952375013f, 0.304929230f,
+ 0.951435021f, 0.307849640f,
+ 0.950486074f, 0.310767153f,
+ 0.949528181f, 0.313681740f,
+ 0.948561350f, 0.316593376f,
+ 0.947585591f, 0.319502031f,
+ 0.946600913f, 0.322407679f,
+ 0.945607325f, 0.325310292f,
+ 0.944604837f, 0.328209844f,
+ 0.943593458f, 0.331106306f,
+ 0.942573198f, 0.333999651f,
+ 0.941544065f, 0.336889853f,
+ 0.940506071f, 0.339776884f,
+ 0.939459224f, 0.342660717f,
+ 0.938403534f, 0.345541325f,
+ 0.937339012f, 0.348418680f,
+ 0.936265667f, 0.351292756f,
+ 0.935183510f, 0.354163525f,
+ 0.934092550f, 0.357030961f,
+ 0.932992799f, 0.359895037f,
+ 0.931884266f, 0.362755724f,
+ 0.930766961f, 0.365612998f,
+ 0.929640896f, 0.368466830f,
+ 0.928506080f, 0.371317194f,
+ 0.927362526f, 0.374164063f,
+ 0.926210242f, 0.377007410f,
+ 0.925049241f, 0.379847209f,
+ 0.923879533f, 0.382683432f,
+ 0.922701128f, 0.385516054f,
+ 0.921514039f, 0.388345047f,
+ 0.920318277f, 0.391170384f,
+ 0.919113852f, 0.393992040f,
+ 0.917900776f, 0.396809987f,
+ 0.916679060f, 0.399624200f,
+ 0.915448716f, 0.402434651f,
+ 0.914209756f, 0.405241314f,
+ 0.912962190f, 0.408044163f,
+ 0.911706032f, 0.410843171f,
+ 0.910441292f, 0.413638312f,
+ 0.909167983f, 0.416429560f,
+ 0.907886116f, 0.419216888f,
+ 0.906595705f, 0.422000271f,
+ 0.905296759f, 0.424779681f,
+ 0.903989293f, 0.427555093f,
+ 0.902673318f, 0.430326481f,
+ 0.901348847f, 0.433093819f,
+ 0.900015892f, 0.435857080f,
+ 0.898674466f, 0.438616239f,
+ 0.897324581f, 0.441371269f,
+ 0.895966250f, 0.444122145f,
+ 0.894599486f, 0.446868840f,
+ 0.893224301f, 0.449611330f,
+ 0.891840709f, 0.452349587f,
+ 0.890448723f, 0.455083587f,
+ 0.889048356f, 0.457813304f,
+ 0.887639620f, 0.460538711f,
+ 0.886222530f, 0.463259784f,
+ 0.884797098f, 0.465976496f,
+ 0.883363339f, 0.468688822f,
+ 0.881921264f, 0.471396737f,
+ 0.880470889f, 0.474100215f,
+ 0.879012226f, 0.476799230f,
+ 0.877545290f, 0.479493758f,
+ 0.876070094f, 0.482183772f,
+ 0.874586652f, 0.484869248f,
+ 0.873094978f, 0.487550160f,
+ 0.871595087f, 0.490226483f,
+ 0.870086991f, 0.492898192f,
+ 0.868570706f, 0.495565262f,
+ 0.867046246f, 0.498227667f,
+ 0.865513624f, 0.500885383f,
+ 0.863972856f, 0.503538384f,
+ 0.862423956f, 0.506186645f,
+ 0.860866939f, 0.508830143f,
+ 0.859301818f, 0.511468850f,
+ 0.857728610f, 0.514102744f,
+ 0.856147328f, 0.516731799f,
+ 0.854557988f, 0.519355990f,
+ 0.852960605f, 0.521975293f,
+ 0.851355193f, 0.524589683f,
+ 0.849741768f, 0.527199135f,
+ 0.848120345f, 0.529803625f,
+ 0.846490939f, 0.532403128f,
+ 0.844853565f, 0.534997620f,
+ 0.843208240f, 0.537587076f,
+ 0.841554977f, 0.540171473f,
+ 0.839893794f, 0.542750785f,
+ 0.838224706f, 0.545324988f,
+ 0.836547727f, 0.547894059f,
+ 0.834862875f, 0.550457973f,
+ 0.833170165f, 0.553016706f,
+ 0.831469612f, 0.555570233f,
+ 0.829761234f, 0.558118531f,
+ 0.828045045f, 0.560661576f,
+ 0.826321063f, 0.563199344f,
+ 0.824589303f, 0.565731811f,
+ 0.822849781f, 0.568258953f,
+ 0.821102515f, 0.570780746f,
+ 0.819347520f, 0.573297167f,
+ 0.817584813f, 0.575808191f,
+ 0.815814411f, 0.578313796f,
+ 0.814036330f, 0.580813958f,
+ 0.812250587f, 0.583308653f,
+ 0.810457198f, 0.585797857f,
+ 0.808656182f, 0.588281548f,
+ 0.806847554f, 0.590759702f,
+ 0.805031331f, 0.593232295f,
+ 0.803207531f, 0.595699304f,
+ 0.801376172f, 0.598160707f,
+ 0.799537269f, 0.600616479f,
+ 0.797690841f, 0.603066599f,
+ 0.795836905f, 0.605511041f,
+ 0.793975478f, 0.607949785f,
+ 0.792106577f, 0.610382806f,
+ 0.790230221f, 0.612810082f,
+ 0.788346428f, 0.615231591f,
+ 0.786455214f, 0.617647308f,
+ 0.784556597f, 0.620057212f,
+ 0.782650596f, 0.622461279f,
+ 0.780737229f, 0.624859488f,
+ 0.778816512f, 0.627251815f,
+ 0.776888466f, 0.629638239f,
+ 0.774953107f, 0.632018736f,
+ 0.773010453f, 0.634393284f,
+ 0.771060524f, 0.636761861f,
+ 0.769103338f, 0.639124445f,
+ 0.767138912f, 0.641481013f,
+ 0.765167266f, 0.643831543f,
+ 0.763188417f, 0.646176013f,
+ 0.761202385f, 0.648514401f,
+ 0.759209189f, 0.650846685f,
+ 0.757208847f, 0.653172843f,
+ 0.755201377f, 0.655492853f,
+ 0.753186799f, 0.657806693f,
+ 0.751165132f, 0.660114342f,
+ 0.749136395f, 0.662415778f,
+ 0.747100606f, 0.664710978f,
+ 0.745057785f, 0.666999922f,
+ 0.743007952f, 0.669282588f,
+ 0.740951125f, 0.671558955f,
+ 0.738887324f, 0.673829000f,
+ 0.736816569f, 0.676092704f,
+ 0.734738878f, 0.678350043f,
+ 0.732654272f, 0.680600998f,
+ 0.730562769f, 0.682845546f,
+ 0.728464390f, 0.685083668f,
+ 0.726359155f, 0.687315341f,
+ 0.724247083f, 0.689540545f,
+ 0.722128194f, 0.691759258f,
+ 0.720002508f, 0.693971461f,
+ 0.717870045f, 0.696177131f,
+ 0.715730825f, 0.698376249f,
+ 0.713584869f, 0.700568794f,
+ 0.711432196f, 0.702754744f,
+ 0.709272826f, 0.704934080f,
+ 0.707106781f, 0.707106781f,
+ 0.704934080f, 0.709272826f,
+ 0.702754744f, 0.711432196f,
+ 0.700568794f, 0.713584869f,
+ 0.698376249f, 0.715730825f,
+ 0.696177131f, 0.717870045f,
+ 0.693971461f, 0.720002508f,
+ 0.691759258f, 0.722128194f,
+ 0.689540545f, 0.724247083f,
+ 0.687315341f, 0.726359155f,
+ 0.685083668f, 0.728464390f,
+ 0.682845546f, 0.730562769f,
+ 0.680600998f, 0.732654272f,
+ 0.678350043f, 0.734738878f,
+ 0.676092704f, 0.736816569f,
+ 0.673829000f, 0.738887324f,
+ 0.671558955f, 0.740951125f,
+ 0.669282588f, 0.743007952f,
+ 0.666999922f, 0.745057785f,
+ 0.664710978f, 0.747100606f,
+ 0.662415778f, 0.749136395f,
+ 0.660114342f, 0.751165132f,
+ 0.657806693f, 0.753186799f,
+ 0.655492853f, 0.755201377f,
+ 0.653172843f, 0.757208847f,
+ 0.650846685f, 0.759209189f,
+ 0.648514401f, 0.761202385f,
+ 0.646176013f, 0.763188417f,
+ 0.643831543f, 0.765167266f,
+ 0.641481013f, 0.767138912f,
+ 0.639124445f, 0.769103338f,
+ 0.636761861f, 0.771060524f,
+ 0.634393284f, 0.773010453f,
+ 0.632018736f, 0.774953107f,
+ 0.629638239f, 0.776888466f,
+ 0.627251815f, 0.778816512f,
+ 0.624859488f, 0.780737229f,
+ 0.622461279f, 0.782650596f,
+ 0.620057212f, 0.784556597f,
+ 0.617647308f, 0.786455214f,
+ 0.615231591f, 0.788346428f,
+ 0.612810082f, 0.790230221f,
+ 0.610382806f, 0.792106577f,
+ 0.607949785f, 0.793975478f,
+ 0.605511041f, 0.795836905f,
+ 0.603066599f, 0.797690841f,
+ 0.600616479f, 0.799537269f,
+ 0.598160707f, 0.801376172f,
+ 0.595699304f, 0.803207531f,
+ 0.593232295f, 0.805031331f,
+ 0.590759702f, 0.806847554f,
+ 0.588281548f, 0.808656182f,
+ 0.585797857f, 0.810457198f,
+ 0.583308653f, 0.812250587f,
+ 0.580813958f, 0.814036330f,
+ 0.578313796f, 0.815814411f,
+ 0.575808191f, 0.817584813f,
+ 0.573297167f, 0.819347520f,
+ 0.570780746f, 0.821102515f,
+ 0.568258953f, 0.822849781f,
+ 0.565731811f, 0.824589303f,
+ 0.563199344f, 0.826321063f,
+ 0.560661576f, 0.828045045f,
+ 0.558118531f, 0.829761234f,
+ 0.555570233f, 0.831469612f,
+ 0.553016706f, 0.833170165f,
+ 0.550457973f, 0.834862875f,
+ 0.547894059f, 0.836547727f,
+ 0.545324988f, 0.838224706f,
+ 0.542750785f, 0.839893794f,
+ 0.540171473f, 0.841554977f,
+ 0.537587076f, 0.843208240f,
+ 0.534997620f, 0.844853565f,
+ 0.532403128f, 0.846490939f,
+ 0.529803625f, 0.848120345f,
+ 0.527199135f, 0.849741768f,
+ 0.524589683f, 0.851355193f,
+ 0.521975293f, 0.852960605f,
+ 0.519355990f, 0.854557988f,
+ 0.516731799f, 0.856147328f,
+ 0.514102744f, 0.857728610f,
+ 0.511468850f, 0.859301818f,
+ 0.508830143f, 0.860866939f,
+ 0.506186645f, 0.862423956f,
+ 0.503538384f, 0.863972856f,
+ 0.500885383f, 0.865513624f,
+ 0.498227667f, 0.867046246f,
+ 0.495565262f, 0.868570706f,
+ 0.492898192f, 0.870086991f,
+ 0.490226483f, 0.871595087f,
+ 0.487550160f, 0.873094978f,
+ 0.484869248f, 0.874586652f,
+ 0.482183772f, 0.876070094f,
+ 0.479493758f, 0.877545290f,
+ 0.476799230f, 0.879012226f,
+ 0.474100215f, 0.880470889f,
+ 0.471396737f, 0.881921264f,
+ 0.468688822f, 0.883363339f,
+ 0.465976496f, 0.884797098f,
+ 0.463259784f, 0.886222530f,
+ 0.460538711f, 0.887639620f,
+ 0.457813304f, 0.889048356f,
+ 0.455083587f, 0.890448723f,
+ 0.452349587f, 0.891840709f,
+ 0.449611330f, 0.893224301f,
+ 0.446868840f, 0.894599486f,
+ 0.444122145f, 0.895966250f,
+ 0.441371269f, 0.897324581f,
+ 0.438616239f, 0.898674466f,
+ 0.435857080f, 0.900015892f,
+ 0.433093819f, 0.901348847f,
+ 0.430326481f, 0.902673318f,
+ 0.427555093f, 0.903989293f,
+ 0.424779681f, 0.905296759f,
+ 0.422000271f, 0.906595705f,
+ 0.419216888f, 0.907886116f,
+ 0.416429560f, 0.909167983f,
+ 0.413638312f, 0.910441292f,
+ 0.410843171f, 0.911706032f,
+ 0.408044163f, 0.912962190f,
+ 0.405241314f, 0.914209756f,
+ 0.402434651f, 0.915448716f,
+ 0.399624200f, 0.916679060f,
+ 0.396809987f, 0.917900776f,
+ 0.393992040f, 0.919113852f,
+ 0.391170384f, 0.920318277f,
+ 0.388345047f, 0.921514039f,
+ 0.385516054f, 0.922701128f,
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+ 0.994240449f, -0.107172425f,
+ 0.994564571f, -0.104121634f,
+ 0.994879331f, -0.101069863f,
+ 0.995184727f, -0.098017140f,
+ 0.995480755f, -0.094963495f,
+ 0.995767414f, -0.091908956f,
+ 0.996044701f, -0.088853553f,
+ 0.996312612f, -0.085797312f,
+ 0.996571146f, -0.082740265f,
+ 0.996820299f, -0.079682438f,
+ 0.997060070f, -0.076623861f,
+ 0.997290457f, -0.073564564f,
+ 0.997511456f, -0.070504573f,
+ 0.997723067f, -0.067443920f,
+ 0.997925286f, -0.064382631f,
+ 0.998118113f, -0.061320736f,
+ 0.998301545f, -0.058258265f,
+ 0.998475581f, -0.055195244f,
+ 0.998640218f, -0.052131705f,
+ 0.998795456f, -0.049067674f,
+ 0.998941293f, -0.046003182f,
+ 0.999077728f, -0.042938257f,
+ 0.999204759f, -0.039872928f,
+ 0.999322385f, -0.036807223f,
+ 0.999430605f, -0.033741172f,
+ 0.999529418f, -0.030674803f,
+ 0.999618822f, -0.027608146f,
+ 0.999698819f, -0.024541229f,
+ 0.999769405f, -0.021474080f,
+ 0.999830582f, -0.018406730f,
+ 0.999882347f, -0.015339206f,
+ 0.999924702f, -0.012271538f,
+ 0.999957645f, -0.009203755f,
+ 0.999981175f, -0.006135885f,
+ 0.999995294f, -0.003067957f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_4096[8192] = {
+ 1.000000000f, 0.000000000f,
+ 0.999998823f, 0.001533980f,
+ 0.999995294f, 0.003067957f,
+ 0.999989411f, 0.004601926f,
+ 0.999981175f, 0.006135885f,
+ 0.999970586f, 0.007669829f,
+ 0.999957645f, 0.009203755f,
+ 0.999942350f, 0.010737659f,
+ 0.999924702f, 0.012271538f,
+ 0.999904701f, 0.013805389f,
+ 0.999882347f, 0.015339206f,
+ 0.999857641f, 0.016872988f,
+ 0.999830582f, 0.018406730f,
+ 0.999801170f, 0.019940429f,
+ 0.999769405f, 0.021474080f,
+ 0.999735288f, 0.023007681f,
+ 0.999698819f, 0.024541229f,
+ 0.999659997f, 0.026074718f,
+ 0.999618822f, 0.027608146f,
+ 0.999575296f, 0.029141509f,
+ 0.999529418f, 0.030674803f,
+ 0.999481187f, 0.032208025f,
+ 0.999430605f, 0.033741172f,
+ 0.999377670f, 0.035274239f,
+ 0.999322385f, 0.036807223f,
+ 0.999264747f, 0.038340120f,
+ 0.999204759f, 0.039872928f,
+ 0.999142419f, 0.041405641f,
+ 0.999077728f, 0.042938257f,
+ 0.999010686f, 0.044470772f,
+ 0.998941293f, 0.046003182f,
+ 0.998869550f, 0.047535484f,
+ 0.998795456f, 0.049067674f,
+ 0.998719012f, 0.050599749f,
+ 0.998640218f, 0.052131705f,
+ 0.998559074f, 0.053663538f,
+ 0.998475581f, 0.055195244f,
+ 0.998389737f, 0.056726821f,
+ 0.998301545f, 0.058258265f,
+ 0.998211003f, 0.059789571f,
+ 0.998118113f, 0.061320736f,
+ 0.998022874f, 0.062851758f,
+ 0.997925286f, 0.064382631f,
+ 0.997825350f, 0.065913353f,
+ 0.997723067f, 0.067443920f,
+ 0.997618435f, 0.068974328f,
+ 0.997511456f, 0.070504573f,
+ 0.997402130f, 0.072034653f,
+ 0.997290457f, 0.073564564f,
+ 0.997176437f, 0.075094301f,
+ 0.997060070f, 0.076623861f,
+ 0.996941358f, 0.078153242f,
+ 0.996820299f, 0.079682438f,
+ 0.996696895f, 0.081211447f,
+ 0.996571146f, 0.082740265f,
+ 0.996443051f, 0.084268888f,
+ 0.996312612f, 0.085797312f,
+ 0.996179829f, 0.087325535f,
+ 0.996044701f, 0.088853553f,
+ 0.995907229f, 0.090381361f,
+ 0.995767414f, 0.091908956f,
+ 0.995625256f, 0.093436336f,
+ 0.995480755f, 0.094963495f,
+ 0.995333912f, 0.096490431f,
+ 0.995184727f, 0.098017140f,
+ 0.995033199f, 0.099543619f,
+ 0.994879331f, 0.101069863f,
+ 0.994723121f, 0.102595869f,
+ 0.994564571f, 0.104121634f,
+ 0.994403680f, 0.105647154f,
+ 0.994240449f, 0.107172425f,
+ 0.994074879f, 0.108697444f,
+ 0.993906970f, 0.110222207f,
+ 0.993736722f, 0.111746711f,
+ 0.993564136f, 0.113270952f,
+ 0.993389211f, 0.114794927f,
+ 0.993211949f, 0.116318631f,
+ 0.993032350f, 0.117842062f,
+ 0.992850414f, 0.119365215f,
+ 0.992666142f, 0.120888087f,
+ 0.992479535f, 0.122410675f,
+ 0.992290591f, 0.123932975f,
+ 0.992099313f, 0.125454983f,
+ 0.991905700f, 0.126976696f,
+ 0.991709754f, 0.128498111f,
+ 0.991511473f, 0.130019223f,
+ 0.991310860f, 0.131540029f,
+ 0.991107914f, 0.133060525f,
+ 0.990902635f, 0.134580709f,
+ 0.990695025f, 0.136100575f,
+ 0.990485084f, 0.137620122f,
+ 0.990272812f, 0.139139344f,
+ 0.990058210f, 0.140658239f,
+ 0.989841278f, 0.142176804f,
+ 0.989622017f, 0.143695033f,
+ 0.989400428f, 0.145212925f,
+ 0.989176510f, 0.146730474f,
+ 0.988950265f, 0.148247679f,
+ 0.988721692f, 0.149764535f,
+ 0.988490793f, 0.151281038f,
+ 0.988257568f, 0.152797185f,
+ 0.988022017f, 0.154312973f,
+ 0.987784142f, 0.155828398f,
+ 0.987543942f, 0.157343456f,
+ 0.987301418f, 0.158858143f,
+ 0.987056571f, 0.160372457f,
+ 0.986809402f, 0.161886394f,
+ 0.986559910f, 0.163399949f,
+ 0.986308097f, 0.164913120f,
+ 0.986053963f, 0.166425904f,
+ 0.985797509f, 0.167938295f,
+ 0.985538735f, 0.169450291f,
+ 0.985277642f, 0.170961889f,
+ 0.985014231f, 0.172473084f,
+ 0.984748502f, 0.173983873f,
+ 0.984480455f, 0.175494253f,
+ 0.984210092f, 0.177004220f,
+ 0.983937413f, 0.178513771f,
+ 0.983662419f, 0.180022901f,
+ 0.983385110f, 0.181531608f,
+ 0.983105487f, 0.183039888f,
+ 0.982823551f, 0.184547737f,
+ 0.982539302f, 0.186055152f,
+ 0.982252741f, 0.187562129f,
+ 0.981963869f, 0.189068664f,
+ 0.981672686f, 0.190574755f,
+ 0.981379193f, 0.192080397f,
+ 0.981083391f, 0.193585587f,
+ 0.980785280f, 0.195090322f,
+ 0.980484862f, 0.196594598f,
+ 0.980182136f, 0.198098411f,
+ 0.979877104f, 0.199601758f,
+ 0.979569766f, 0.201104635f,
+ 0.979260123f, 0.202607039f,
+ 0.978948175f, 0.204108966f,
+ 0.978633924f, 0.205610413f,
+ 0.978317371f, 0.207111376f,
+ 0.977998515f, 0.208611852f,
+ 0.977677358f, 0.210111837f,
+ 0.977353900f, 0.211611327f,
+ 0.977028143f, 0.213110320f,
+ 0.976700086f, 0.214608811f,
+ 0.976369731f, 0.216106797f,
+ 0.976037079f, 0.217604275f,
+ 0.975702130f, 0.219101240f,
+ 0.975364885f, 0.220597690f,
+ 0.975025345f, 0.222093621f,
+ 0.974683511f, 0.223589029f,
+ 0.974339383f, 0.225083911f,
+ 0.973992962f, 0.226578264f,
+ 0.973644250f, 0.228072083f,
+ 0.973293246f, 0.229565366f,
+ 0.972939952f, 0.231058108f,
+ 0.972584369f, 0.232550307f,
+ 0.972226497f, 0.234041959f,
+ 0.971866337f, 0.235533059f,
+ 0.971503891f, 0.237023606f,
+ 0.971139158f, 0.238513595f,
+ 0.970772141f, 0.240003022f,
+ 0.970402839f, 0.241491885f,
+ 0.970031253f, 0.242980180f,
+ 0.969657385f, 0.244467903f,
+ 0.969281235f, 0.245955050f,
+ 0.968902805f, 0.247441619f,
+ 0.968522094f, 0.248927606f,
+ 0.968139105f, 0.250413007f,
+ 0.967753837f, 0.251897818f,
+ 0.967366292f, 0.253382037f,
+ 0.966976471f, 0.254865660f,
+ 0.966584374f, 0.256348682f,
+ 0.966190003f, 0.257831102f,
+ 0.965793359f, 0.259312915f,
+ 0.965394442f, 0.260794118f,
+ 0.964993253f, 0.262274707f,
+ 0.964589793f, 0.263754679f,
+ 0.964184064f, 0.265234030f,
+ 0.963776066f, 0.266712757f,
+ 0.963365800f, 0.268190857f,
+ 0.962953267f, 0.269668326f,
+ 0.962538468f, 0.271145160f,
+ 0.962121404f, 0.272621355f,
+ 0.961702077f, 0.274096910f,
+ 0.961280486f, 0.275571819f,
+ 0.960856633f, 0.277046080f,
+ 0.960430519f, 0.278519689f,
+ 0.960002146f, 0.279992643f,
+ 0.959571513f, 0.281464938f,
+ 0.959138622f, 0.282936570f,
+ 0.958703475f, 0.284407537f,
+ 0.958266071f, 0.285877835f,
+ 0.957826413f, 0.287347460f,
+ 0.957384501f, 0.288816408f,
+ 0.956940336f, 0.290284677f,
+ 0.956493919f, 0.291752263f,
+ 0.956045251f, 0.293219163f,
+ 0.955594334f, 0.294685372f,
+ 0.955141168f, 0.296150888f,
+ 0.954685755f, 0.297615707f,
+ 0.954228095f, 0.299079826f,
+ 0.953768190f, 0.300543241f,
+ 0.953306040f, 0.302005949f,
+ 0.952841648f, 0.303467947f,
+ 0.952375013f, 0.304929230f,
+ 0.951906137f, 0.306389795f,
+ 0.951435021f, 0.307849640f,
+ 0.950961666f, 0.309308760f,
+ 0.950486074f, 0.310767153f,
+ 0.950008245f, 0.312224814f,
+ 0.949528181f, 0.313681740f,
+ 0.949045882f, 0.315137929f,
+ 0.948561350f, 0.316593376f,
+ 0.948074586f, 0.318048077f,
+ 0.947585591f, 0.319502031f,
+ 0.947094366f, 0.320955232f,
+ 0.946600913f, 0.322407679f,
+ 0.946105232f, 0.323859367f,
+ 0.945607325f, 0.325310292f,
+ 0.945107193f, 0.326760452f,
+ 0.944604837f, 0.328209844f,
+ 0.944100258f, 0.329658463f,
+ 0.943593458f, 0.331106306f,
+ 0.943084437f, 0.332553370f,
+ 0.942573198f, 0.333999651f,
+ 0.942059740f, 0.335445147f,
+ 0.941544065f, 0.336889853f,
+ 0.941026175f, 0.338333767f,
+ 0.940506071f, 0.339776884f,
+ 0.939983753f, 0.341219202f,
+ 0.939459224f, 0.342660717f,
+ 0.938932484f, 0.344101426f,
+ 0.938403534f, 0.345541325f,
+ 0.937872376f, 0.346980411f,
+ 0.937339012f, 0.348418680f,
+ 0.936803442f, 0.349856130f,
+ 0.936265667f, 0.351292756f,
+ 0.935725689f, 0.352728556f,
+ 0.935183510f, 0.354163525f,
+ 0.934639130f, 0.355597662f,
+ 0.934092550f, 0.357030961f,
+ 0.933543773f, 0.358463421f,
+ 0.932992799f, 0.359895037f,
+ 0.932439629f, 0.361325806f,
+ 0.931884266f, 0.362755724f,
+ 0.931326709f, 0.364184790f,
+ 0.930766961f, 0.365612998f,
+ 0.930205023f, 0.367040346f,
+ 0.929640896f, 0.368466830f,
+ 0.929074581f, 0.369892447f,
+ 0.928506080f, 0.371317194f,
+ 0.927935395f, 0.372741067f,
+ 0.927362526f, 0.374164063f,
+ 0.926787474f, 0.375586178f,
+ 0.926210242f, 0.377007410f,
+ 0.925630831f, 0.378427755f,
+ 0.925049241f, 0.379847209f,
+ 0.924465474f, 0.381265769f,
+ 0.923879533f, 0.382683432f,
+ 0.923291417f, 0.384100195f,
+ 0.922701128f, 0.385516054f,
+ 0.922108669f, 0.386931006f,
+ 0.921514039f, 0.388345047f,
+ 0.920917242f, 0.389758174f,
+ 0.920318277f, 0.391170384f,
+ 0.919717146f, 0.392581674f,
+ 0.919113852f, 0.393992040f,
+ 0.918508394f, 0.395401479f,
+ 0.917900776f, 0.396809987f,
+ 0.917290997f, 0.398217562f,
+ 0.916679060f, 0.399624200f,
+ 0.916064966f, 0.401029897f,
+ 0.915448716f, 0.402434651f,
+ 0.914830312f, 0.403838458f,
+ 0.914209756f, 0.405241314f,
+ 0.913587048f, 0.406643217f,
+ 0.912962190f, 0.408044163f,
+ 0.912335185f, 0.409444149f,
+ 0.911706032f, 0.410843171f,
+ 0.911074734f, 0.412241227f,
+ 0.910441292f, 0.413638312f,
+ 0.909805708f, 0.415034424f,
+ 0.909167983f, 0.416429560f,
+ 0.908528119f, 0.417823716f,
+ 0.907886116f, 0.419216888f,
+ 0.907241978f, 0.420609074f,
+ 0.906595705f, 0.422000271f,
+ 0.905947298f, 0.423390474f,
+ 0.905296759f, 0.424779681f,
+ 0.904644091f, 0.426167889f,
+ 0.903989293f, 0.427555093f,
+ 0.903332368f, 0.428941292f,
+ 0.902673318f, 0.430326481f,
+ 0.902012144f, 0.431710658f,
+ 0.901348847f, 0.433093819f,
+ 0.900683429f, 0.434475961f,
+ 0.900015892f, 0.435857080f,
+ 0.899346237f, 0.437237174f,
+ 0.898674466f, 0.438616239f,
+ 0.898000580f, 0.439994271f,
+ 0.897324581f, 0.441371269f,
+ 0.896646470f, 0.442747228f,
+ 0.895966250f, 0.444122145f,
+ 0.895283921f, 0.445496017f,
+ 0.894599486f, 0.446868840f,
+ 0.893912945f, 0.448240612f,
+ 0.893224301f, 0.449611330f,
+ 0.892533555f, 0.450980989f,
+ 0.891840709f, 0.452349587f,
+ 0.891145765f, 0.453717121f,
+ 0.890448723f, 0.455083587f,
+ 0.889749586f, 0.456448982f,
+ 0.889048356f, 0.457813304f,
+ 0.888345033f, 0.459176548f,
+ 0.887639620f, 0.460538711f,
+ 0.886932119f, 0.461899791f,
+ 0.886222530f, 0.463259784f,
+ 0.885510856f, 0.464618686f,
+ 0.884797098f, 0.465976496f,
+ 0.884081259f, 0.467333209f,
+ 0.883363339f, 0.468688822f,
+ 0.882643340f, 0.470043332f,
+ 0.881921264f, 0.471396737f,
+ 0.881197113f, 0.472749032f,
+ 0.880470889f, 0.474100215f,
+ 0.879742593f, 0.475450282f,
+ 0.879012226f, 0.476799230f,
+ 0.878279792f, 0.478147056f,
+ 0.877545290f, 0.479493758f,
+ 0.876808724f, 0.480839331f,
+ 0.876070094f, 0.482183772f,
+ 0.875329403f, 0.483527079f,
+ 0.874586652f, 0.484869248f,
+ 0.873841843f, 0.486210276f,
+ 0.873094978f, 0.487550160f,
+ 0.872346059f, 0.488888897f,
+ 0.871595087f, 0.490226483f,
+ 0.870842063f, 0.491562916f,
+ 0.870086991f, 0.492898192f,
+ 0.869329871f, 0.494232309f,
+ 0.868570706f, 0.495565262f,
+ 0.867809497f, 0.496897049f,
+ 0.867046246f, 0.498227667f,
+ 0.866280954f, 0.499557113f,
+ 0.865513624f, 0.500885383f,
+ 0.864744258f, 0.502212474f,
+ 0.863972856f, 0.503538384f,
+ 0.863199422f, 0.504863109f,
+ 0.862423956f, 0.506186645f,
+ 0.861646461f, 0.507508991f,
+ 0.860866939f, 0.508830143f,
+ 0.860085390f, 0.510150097f,
+ 0.859301818f, 0.511468850f,
+ 0.858516224f, 0.512786401f,
+ 0.857728610f, 0.514102744f,
+ 0.856938977f, 0.515417878f,
+ 0.856147328f, 0.516731799f,
+ 0.855353665f, 0.518044504f,
+ 0.854557988f, 0.519355990f,
+ 0.853760301f, 0.520666254f,
+ 0.852960605f, 0.521975293f,
+ 0.852158902f, 0.523283103f,
+ 0.851355193f, 0.524589683f,
+ 0.850549481f, 0.525895027f,
+ 0.849741768f, 0.527199135f,
+ 0.848932055f, 0.528502002f,
+ 0.848120345f, 0.529803625f,
+ 0.847306639f, 0.531104001f,
+ 0.846490939f, 0.532403128f,
+ 0.845673247f, 0.533701002f,
+ 0.844853565f, 0.534997620f,
+ 0.844031895f, 0.536292979f,
+ 0.843208240f, 0.537587076f,
+ 0.842382600f, 0.538879909f,
+ 0.841554977f, 0.540171473f,
+ 0.840725375f, 0.541461766f,
+ 0.839893794f, 0.542750785f,
+ 0.839060237f, 0.544038527f,
+ 0.838224706f, 0.545324988f,
+ 0.837387202f, 0.546610167f,
+ 0.836547727f, 0.547894059f,
+ 0.835706284f, 0.549176662f,
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+ 0.998869550f, -0.047535484f,
+ 0.998941293f, -0.046003182f,
+ 0.999010686f, -0.044470772f,
+ 0.999077728f, -0.042938257f,
+ 0.999142419f, -0.041405641f,
+ 0.999204759f, -0.039872928f,
+ 0.999264747f, -0.038340120f,
+ 0.999322385f, -0.036807223f,
+ 0.999377670f, -0.035274239f,
+ 0.999430605f, -0.033741172f,
+ 0.999481187f, -0.032208025f,
+ 0.999529418f, -0.030674803f,
+ 0.999575296f, -0.029141509f,
+ 0.999618822f, -0.027608146f,
+ 0.999659997f, -0.026074718f,
+ 0.999698819f, -0.024541229f,
+ 0.999735288f, -0.023007681f,
+ 0.999769405f, -0.021474080f,
+ 0.999801170f, -0.019940429f,
+ 0.999830582f, -0.018406730f,
+ 0.999857641f, -0.016872988f,
+ 0.999882347f, -0.015339206f,
+ 0.999904701f, -0.013805389f,
+ 0.999924702f, -0.012271538f,
+ 0.999942350f, -0.010737659f,
+ 0.999957645f, -0.009203755f,
+ 0.999970586f, -0.007669829f,
+ 0.999981175f, -0.006135885f,
+ 0.999989411f, -0.004601926f,
+ 0.999995294f, -0.003067957f,
+ 0.999998823f, -0.001533980f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+
+/**
+ @brief Q31 Twiddle factors Table
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for(i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_16_q31[24] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000,
+ (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C,
+ (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A,
+ (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2,
+ (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xCF043AB2, (q31_t)0x89BE50C3
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_32_q31[48] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000,
+ (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6,
+ (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C,
+ (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F,
+ (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A,
+ (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C,
+ (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2,
+ (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B,
+ (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xE70747C3, (q31_t)0x8275A0C0
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_64_q31[96] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C,
+ (q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC,
+ (q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6,
+ (q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D,
+ (q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000,
+ (q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2,
+ (q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53,
+ (q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3,
+ (q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970,
+ (q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i < 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_128_q31[192] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D,
+ (q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F,
+ (q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413,
+ (q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6,
+ (q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F,
+ (q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A,
+ (q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3,
+ (q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70,
+ (q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB,
+ (q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C,
+ (q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C,
+ (q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1,
+ (q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684,
+ (q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2,
+ (q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B,
+ (q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B,
+ (q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376,
+ (q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B,
+ (q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F,
+ (q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4,
+ (q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03,
+ (q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000,
+ (q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03,
+ (q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4,
+ (q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F,
+ (q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B,
+ (q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B,
+ (q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B,
+ (q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2,
+ (q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684,
+ (q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1,
+ (q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+
+ */
+const q31_t twiddleCoef_256_q31[384] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182,
+ (q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9,
+ (q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE,
+ (q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1,
+ (q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB,
+ (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C,
+ (q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84,
+ (q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+ (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14,
+ (q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81,
+ (q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3,
+ (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC,
+ (q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF,
+ (q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2,
+ (q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4,
+ (q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F,
+ (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6,
+ (q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7,
+ (q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+ (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013,
+ (q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62,
+ (q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413,
+ (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D,
+ (q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A,
+ (q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E,
+ (q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049,
+ (q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+ (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000,
+ (q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6,
+ (q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91,
+ (q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95,
+ (q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2,
+ (q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E,
+ (q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC,
+ (q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648,
+ (q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B,
+ (q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D,
+ (q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20,
+ (q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2,
+ (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53,
+ (q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E,
+ (q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB,
+ (q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B,
+ (q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013,
+ (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3,
+ (q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E,
+ (q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+ (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411,
+ (q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16,
+ (q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E,
+ (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970,
+ (q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D,
+ (q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872,
+ (q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C,
+ (q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62,
+ (q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC,
+ (q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F,
+ (q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0,
+ (q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0,
+ (q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510,
+ (q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C,
+ (q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF,
+ (q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78,
+ (q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14,
+ (q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4,
+ (q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683,
+ (q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+
+ */
+const q31_t twiddleCoef_512_q31[768] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A,
+ (q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D,
+ (q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3,
+ (q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3,
+ (q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493,
+ (q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444,
+ (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F,
+ (q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD,
+ (q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+ (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D,
+ (q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD,
+ (q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928,
+ (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413,
+ (q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA,
+ (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988,
+ (q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345,
+ (q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0,
+ (q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32,
+ (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6,
+ (q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5,
+ (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C,
+ (q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64,
+ (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960,
+ (q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C,
+ (q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533,
+ (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F,
+ (q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4,
+ (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F,
+ (q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94,
+ (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830,
+ (q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C,
+ (q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54,
+ (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A,
+ (q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153,
+ (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9,
+ (q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89,
+ (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x539B2AEF,
+ (q31_t)0x60EC3830, (q31_t)0x5269126E, (q31_t)0x61F1003E,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4FFB654D,
+ (q31_t)0x63EF328F, (q31_t)0x4EBFE8A4, (q31_t)0x64E88926,
+ (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4C3FDFF3,
+ (q31_t)0x66CF811F, (q31_t)0x4AFB6C97, (q31_t)0x67BD0FBC,
+ (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x4869E664,
+ (q31_t)0x698C246C, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+ (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x447ACD50,
+ (q31_t)0x6C242960, (q31_t)0x4325C135, (q31_t)0x6CF934FB,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4073F21D,
+ (q31_t)0x6E96A99C, (q31_t)0x3F1749B7, (q31_t)0x6F5F02B1,
+ (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3C56BA70,
+ (q31_t)0x70E2CBC6, (q31_t)0x3AF2EEB7, (q31_t)0x719E2CD2,
+ (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x382493B0,
+ (q31_t)0x7307C3D0, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0,
+ (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x33DEF287,
+ (q31_t)0x7504D345, (q31_t)0x326E54C7, (q31_t)0x75A585CF,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2F875262,
+ (q31_t)0x76D94988, (q31_t)0x2E110A62, (q31_t)0x776C4EDB,
+ (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2B1F34EB,
+ (q31_t)0x78848413, (q31_t)0x29A3C484, (q31_t)0x7909A92C,
+ (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x26A82185,
+ (q31_t)0x7A05EEAD, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+ (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2223A4C5,
+ (q31_t)0x7B5D039D, (q31_t)0x209F701C, (q31_t)0x7BC5E28F,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1D934FE5,
+ (q31_t)0x7C894BDD, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1,
+ (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x18F8B83C,
+ (q31_t)0x7D8A5F3F, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E,
+ (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x145576B1,
+ (q31_t)0x7E5FE493, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+ (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x0FAB272B,
+ (q31_t)0x7F0991C3, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0AFB6805,
+ (q31_t)0x7F872BF3, (q31_t)0x096A9049, (q31_t)0x7FA736B4,
+ (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0647D97C,
+ (q31_t)0x7FD8878D, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0,
+ (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x01921D1F,
+ (q31_t)0x7FFD885A, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFCDBD541,
+ (q31_t)0x7FF62182, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF826A461,
+ (q31_t)0x7FC25596, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4,
+ (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF3742CA1,
+ (q31_t)0x7F62368F, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEEC60F31,
+ (q31_t)0x7ED5E5C6, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+ (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEA1DEBBB,
+ (q31_t)0x7E1D93E9, (q31_t)0xE8922621, (q31_t)0x7DD6668E,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE57D5FDA,
+ (q31_t)0x7D3980EC, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1,
+ (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE0E60684,
+ (q31_t)0x7C29FBEE, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDC597781,
+ (q31_t)0x7AEF6323, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD7D946D7,
+ (q31_t)0x798A23B1, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD3670445,
+ (q31_t)0x77FAB988, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCF043AB2,
+ (q31_t)0x7641AF3C, (q31_t)0xCD91AB38, (q31_t)0x75A585CF,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCAB26FA9,
+ (q31_t)0x745F9DD1, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC67322CD,
+ (q31_t)0x72552C84, (q31_t)0xC50D1148, (q31_t)0x719E2CD2,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC247CD5A,
+ (q31_t)0x70231099, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBE31E19B,
+ (q31_t)0x6DCA0D14, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBA32CA70,
+ (q31_t)0x6B4AF278, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB64BEACC,
+ (q31_t)0x68A69E81, (q31_t)0xB5049368, (q31_t)0x67BD0FBC,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB27E9D3B,
+ (q31_t)0x65DDFBD3, (q31_t)0xB140175B, (q31_t)0x64E88926,
+ (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAECC336B,
+ (q31_t)0x62F201AC, (q31_t)0xAD96ED91, (q31_t)0x61F1003E,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAB35F5B5,
+ (q31_t)0x5FE3B38D, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+ (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA7BD22AB,
+ (q31_t)0x5CB420DF, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA462EEAC,
+ (q31_t)0x59646497, (q31_t)0xA34BDF20, (q31_t)0x5842DD54,
+ (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1288376,
+ (q31_t)0x55F5A4D2, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A,
+ (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E0EFFC1,
+ (q31_t)0x5269126E, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+ (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B1776D9,
+ (q31_t)0x4EBFE8A4, (q31_t)0x9A22042C, (q31_t)0x4D8162C4,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9842F043,
+ (q31_t)0x4AFB6C97, (q31_t)0x9759617E, (q31_t)0x49B41533,
+ (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x9592675B,
+ (q31_t)0x471CECE6, (q31_t)0x94B50D87, (q31_t)0x45CD358F,
+ (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9306CB04,
+ (q31_t)0x4325C135, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+ (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x90A0FD4E,
+ (q31_t)0x3F1749B7, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8E61D32D,
+ (q31_t)0x3AF2EEB7, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32,
+ (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8C4A142F,
+ (q31_t)0x36BA2013, (q31_t)0x8BA0622F, (q31_t)0x354D9056,
+ (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8A5A7A30,
+ (q31_t)0x326E54C7, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x8893B124,
+ (q31_t)0x2E110A62, (q31_t)0x88054677, (q31_t)0x2C98FBBA,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x86F656D3,
+ (q31_t)0x29A3C484, (q31_t)0x8675DC4E, (q31_t)0x2826B928,
+ (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x8582FAA4,
+ (q31_t)0x25280C5D, (q31_t)0x85109CDC, (q31_t)0x23A6887E,
+ (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x843A1D70,
+ (q31_t)0x209F701C, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+ (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x831C314E,
+ (q31_t)0x1C0B826A, (q31_t)0x82C67F13, (q31_t)0x1A82A025,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82299971,
+ (q31_t)0x176DD9DE, (q31_t)0x81E26C16, (q31_t)0x15E21444,
+ (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8162AA03,
+ (q31_t)0x12C8106E, (q31_t)0x812A1A39, (q31_t)0x1139F0CE,
+ (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A,
+ (q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+ (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C,
+ (q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440,
+ (q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF,
+ (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000,
+ (q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440,
+ (q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C,
+ (q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A,
+ (q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03,
+ (q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971,
+ (q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E,
+ (q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70,
+ (q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4,
+ (q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3,
+ (q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124,
+ (q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30,
+ (q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F,
+ (q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D,
+ (q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E,
+ (q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04,
+ (q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B,
+ (q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043,
+ (q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9,
+ (q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1,
+ (q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC,
+ (q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB,
+ (q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5,
+ (q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B,
+ (q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B,
+ (q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC,
+ (q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70,
+ (q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B,
+ (q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A,
+ (q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD,
+ (q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9,
+ (q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2,
+ (q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445,
+ (q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7,
+ (q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781,
+ (q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684,
+ (q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA,
+ (q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB,
+ (q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31,
+ (q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1,
+ (q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461,
+ (q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541,
+ (q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+
+ */
+const q31_t twiddleCoef_1024_q31[1536] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216,
+ (q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F,
+ (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182,
+ (q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B,
+ (q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+ (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596,
+ (q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC,
+ (q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805,
+ (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4,
+ (q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+ (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6,
+ (q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956,
+ (q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1,
+ (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9,
+ (q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305,
+ (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7,
+ (q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC,
+ (q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CB72724,
+ (q31_t)0x1CCF8CB3, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5,
+ (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C29FBEE,
+ (q31_t)0x1F19F97B, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A,
+ (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B920B89,
+ (q31_t)0x2161B39F, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5,
+ (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7AEF6323,
+ (q31_t)0x23A6887E, (q31_t)0x7AB6CBA3, (q31_t)0x24677757,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A4210D8,
+ (q31_t)0x25E845B5, (q31_t)0x7A05EEAD, (q31_t)0x26A82185,
+ (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x798A23B1,
+ (q31_t)0x2826B928, (q31_t)0x794A7C11, (q31_t)0x28E5714A,
+ (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78C7ABA1,
+ (q31_t)0x2A61B101, (q31_t)0x78848413, (q31_t)0x2B1F34EB,
+ (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x77FAB988,
+ (q31_t)0x2C98FBBA, (q31_t)0x77B417DF, (q31_t)0x2D553AFB,
+ (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x77235F2D,
+ (q31_t)0x2ECC681E, (q31_t)0x76D94988, (q31_t)0x2F875262,
+ (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x7641AF3C,
+ (q31_t)0x30FBC54D, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D,
+ (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7555BD4B,
+ (q31_t)0x3326E2C2, (q31_t)0x7504D345, (q31_t)0x33DEF287,
+ (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x745F9DD1,
+ (q31_t)0x354D9056, (q31_t)0x740B53FA, (q31_t)0x36041AD9,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x735F6626,
+ (q31_t)0x376F9E46, (q31_t)0x7307C3D0, (q31_t)0x382493B0,
+ (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72552C84,
+ (q31_t)0x398CDD32, (q31_t)0x71FA3948, (q31_t)0x3A402DD1,
+ (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x71410804,
+ (q31_t)0x3BA51E29, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+ (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70231099,
+ (q31_t)0x3DB832A5, (q31_t)0x6FC19385, (q31_t)0x3E680B2C,
+ (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6EFB5F12,
+ (q31_t)0x3FC5EC97, (q31_t)0x6E96A99C, (q31_t)0x4073F21D,
+ (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DCA0D14,
+ (q31_t)0x41CE1E64, (q31_t)0x6D6227FA, (q31_t)0x427A41D0,
+ (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C8F351C,
+ (q31_t)0x43D09AEC, (q31_t)0x6C242960, (q31_t)0x447ACD50,
+ (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B4AF278,
+ (q31_t)0x45CD358F, (q31_t)0x6ADCC964, (q31_t)0x46756827,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x69FD614A,
+ (q31_t)0x47C3C22E, (q31_t)0x698C246C, (q31_t)0x4869E664,
+ (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68A69E81,
+ (q31_t)0x49B41533, (q31_t)0x683257AA, (q31_t)0x4A581C9D,
+ (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x6746C7D7,
+ (q31_t)0x4B9E038F, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3,
+ (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x65DDFBD3,
+ (q31_t)0x4D8162C4, (q31_t)0x6563BF92, (q31_t)0x4E210617,
+ (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x646C59BF,
+ (q31_t)0x4F5E08E3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D,
+ (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x62F201AC,
+ (q31_t)0x5133CC94, (q31_t)0x6271FA69, (q31_t)0x51CED46E,
+ (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x616F146B,
+ (q31_t)0x53028517, (q31_t)0x60EC3830, (q31_t)0x539B2AEF,
+ (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x5FE3B38D,
+ (q31_t)0x54CA0A4A, (q31_t)0x5F5E0DB3, (q31_t)0x556040E2,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E50015D,
+ (q31_t)0x568A34A9, (q31_t)0x5DC79D7C, (q31_t)0x571DEEF9,
+ (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CB420DF,
+ (q31_t)0x5842DD54, (q31_t)0x5C290ACC, (q31_t)0x58D40E8C,
+ (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B1035CF,
+ (q31_t)0x59F3DE12, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59646497,
+ (q31_t)0x5B9D1153, (q31_t)0x58D40E8C, (q31_t)0x5C290ACC,
+ (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57B0D256,
+ (q31_t)0x5D3E5236, (q31_t)0x571DEEF9, (q31_t)0x5DC79D7C,
+ (q31_t)0x568A34A9, (q31_t)0x5E50015D, (q31_t)0x55F5A4D2,
+ (q31_t)0x5ED77C89, (q31_t)0x556040E2, (q31_t)0x5F5E0DB3,
+ (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x5433027D,
+ (q31_t)0x60686CCE, (q31_t)0x539B2AEF, (q31_t)0x60EC3830,
+ (q31_t)0x53028517, (q31_t)0x616F146B, (q31_t)0x5269126E,
+ (q31_t)0x61F1003E, (q31_t)0x51CED46E, (q31_t)0x6271FA69,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x5097FC5E,
+ (q31_t)0x637114CC, (q31_t)0x4FFB654D, (q31_t)0x63EF328F,
+ (q31_t)0x4F5E08E3, (q31_t)0x646C59BF, (q31_t)0x4EBFE8A4,
+ (q31_t)0x64E88926, (q31_t)0x4E210617, (q31_t)0x6563BF92,
+ (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4CE10034,
+ (q31_t)0x66573CBB, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F,
+ (q31_t)0x4B9E038F, (q31_t)0x6746C7D7, (q31_t)0x4AFB6C97,
+ (q31_t)0x67BD0FBC, (q31_t)0x4A581C9D, (q31_t)0x683257AA,
+ (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x490F57EE,
+ (q31_t)0x6919E320, (q31_t)0x4869E664, (q31_t)0x698C246C,
+ (q31_t)0x47C3C22E, (q31_t)0x69FD614A, (q31_t)0x471CECE6,
+ (q31_t)0x6A6D98A4, (q31_t)0x46756827, (q31_t)0x6ADCC964,
+ (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x452456BC,
+ (q31_t)0x6BB812D0, (q31_t)0x447ACD50, (q31_t)0x6C242960,
+ (q31_t)0x43D09AEC, (q31_t)0x6C8F351C, (q31_t)0x4325C135,
+ (q31_t)0x6CF934FB, (q31_t)0x427A41D0, (q31_t)0x6D6227FA,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4121589A,
+ (q31_t)0x6E30E349, (q31_t)0x4073F21D, (q31_t)0x6E96A99C,
+ (q31_t)0x3FC5EC97, (q31_t)0x6EFB5F12, (q31_t)0x3F1749B7,
+ (q31_t)0x6F5F02B1, (q31_t)0x3E680B2C, (q31_t)0x6FC19385,
+ (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3D07C1D5,
+ (q31_t)0x708378FE, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+ (q31_t)0x3BA51E29, (q31_t)0x71410804, (q31_t)0x3AF2EEB7,
+ (q31_t)0x719E2CD2, (q31_t)0x3A402DD1, (q31_t)0x71FA3948,
+ (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x38D8FE93,
+ (q31_t)0x72AF05A6, (q31_t)0x382493B0, (q31_t)0x7307C3D0,
+ (q31_t)0x376F9E46, (q31_t)0x735F6626, (q31_t)0x36BA2013,
+ (q31_t)0x73B5EBD0, (q31_t)0x36041AD9, (q31_t)0x740B53FA,
+ (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x3496824F,
+ (q31_t)0x74B2C883, (q31_t)0x33DEF287, (q31_t)0x7504D345,
+ (q31_t)0x3326E2C2, (q31_t)0x7555BD4B, (q31_t)0x326E54C7,
+ (q31_t)0x75A585CF, (q31_t)0x31B54A5D, (q31_t)0x75F42C0A,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x3041C760,
+ (q31_t)0x768E0EA5, (q31_t)0x2F875262, (q31_t)0x76D94988,
+ (q31_t)0x2ECC681E, (q31_t)0x77235F2D, (q31_t)0x2E110A62,
+ (q31_t)0x776C4EDB, (q31_t)0x2D553AFB, (q31_t)0x77B417DF,
+ (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2BDC4E6F,
+ (q31_t)0x78403328, (q31_t)0x2B1F34EB, (q31_t)0x78848413,
+ (q31_t)0x2A61B101, (q31_t)0x78C7ABA1, (q31_t)0x29A3C484,
+ (q31_t)0x7909A92C, (q31_t)0x28E5714A, (q31_t)0x794A7C11,
+ (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27679DF4,
+ (q31_t)0x79C89F6D, (q31_t)0x26A82185, (q31_t)0x7A05EEAD,
+ (q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x25280C5D,
+ (q31_t)0x7A7D055B, (q31_t)0x24677757, (q31_t)0x7AB6CBA3,
+ (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x22E541AE,
+ (q31_t)0x7B26CB4F, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D,
+ (q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x209F701C,
+ (q31_t)0x7BC5E28F, (q31_t)0x1FDCDC1A, (q31_t)0x7BF88830,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1E56CA1E,
+ (q31_t)0x7C5A3D4F, (q31_t)0x1D934FE5, (q31_t)0x7C894BDD,
+ (q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C0B826A,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1B4732EF, (q31_t)0x7D0F4218,
+ (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x19BDCBF2,
+ (q31_t)0x7D628AC5, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x176DD9DE,
+ (q31_t)0x7DD6668E, (q31_t)0x16A81305, (q31_t)0x7DFA98A7,
+ (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x151BDF85,
+ (q31_t)0x7E3F57FE, (q31_t)0x145576B1, (q31_t)0x7E5FE493,
+ (q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x12C8106E,
+ (q31_t)0x7E9D55FC, (q31_t)0x120116D4, (q31_t)0x7EBA3A39,
+ (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x1072A047,
+ (q31_t)0x7EF0585F, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3,
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+ (q31_t)0x057F0034, (q31_t)0x80163440, (q31_t)0x04B6195D,
+ (q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x8009DE7D,
+ (q31_t)0x03242ABF, (q31_t)0x80058D2E, (q31_t)0x025B26D7,
+ (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80009DE9,
+ (q31_t)0x00C90F88, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x800277A5,
+ (q31_t)0xFE6DE2E0, (q31_t)0x80058D2E, (q31_t)0xFDA4D928,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800F6B88,
+ (q31_t)0xFC12D919, (q31_t)0x80163440, (q31_t)0xFB49E6A2,
+ (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80277872,
+ (q31_t)0xF9B82683, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x804A9C4D,
+ (q31_t)0xF75DFF65, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+ (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x8078D40D,
+ (q31_t)0xF50497FA, (q31_t)0x808AB180, (q31_t)0xF43C53CA,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80B21BAF,
+ (q31_t)0xF2AC246D, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C,
+ (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80F66E3C,
+ (q31_t)0xF054D8D4, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8145C5C6,
+ (q31_t)0xEDFEE92B, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+ (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81A01B6C,
+ (q31_t)0xEBAA894E, (q31_t)0x81C0A801, (q31_t)0xEAE4207A,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82056758,
+ (q31_t)0xE957ECFB, (q31_t)0x82299971, (q31_t)0xE8922621,
+ (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x829D753A, (q31_t)0xE642340D,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82F0BDE8,
+ (q31_t)0xE4B8CD10, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+ (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x8376B422,
+ (q31_t)0xE26CB01A, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x840777CF,
+ (q31_t)0xE02323E5, (q31_t)0x843A1D70, (q31_t)0xDF608FE3,
+ (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84A2FC62,
+ (q31_t)0xDDDC5B3A, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8549345C,
+ (q31_t)0xDB9888A8, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85FA1152,
+ (q31_t)0xD957DE7A, (q31_t)0x86376092, (q31_t)0xD898620C,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86B583EE,
+ (q31_t)0xD71A8EB5, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B,
+ (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x877B7BEC,
+ (q31_t)0xD4E0CB14, (q31_t)0x87BFCCD7, (q31_t)0xD423B190,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x884BE820,
+ (q31_t)0xD2AAC504, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+ (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x8926B677,
+ (q31_t)0xD078AD9D, (q31_t)0x8971F15A, (q31_t)0xCFBE389F,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A0BD3F5,
+ (q31_t)0xCE4AB5A2, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38,
+ (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC210D78, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BF4AC05,
+ (q31_t)0xC9FBE527, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+ (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CF83C30,
+ (q31_t)0xC7DB6C50, (q31_t)0x8D50FA59, (q31_t)0xC727016C,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E05C6B7,
+ (q31_t)0xC5BFD22E, (q31_t)0x8E61D32D, (q31_t)0xC50D1148,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x903E6C7A,
+ (q31_t)0xC197F4D3, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+ (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x91695663,
+ (q31_t)0xBF8C0DE2, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x929DD805,
+ (q31_t)0xBD85BE2F, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA,
+ (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93DBD69F,
+ (q31_t)0xBB8532AF, (q31_t)0x9447ED2F, (q31_t)0xBADBA943,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9523369B,
+ (q31_t)0xB98A97D8, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x9673DB94,
+ (q31_t)0xB796199B, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97CDA855,
+ (q31_t)0xB5A7E362, (q31_t)0x9842F043, (q31_t)0xB5049368,
+ (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x99307EE0,
+ (q31_t)0xB3C0200C, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A9C406D,
+ (q31_t)0xB1DEF9E8, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+ (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9C10CD70,
+ (q31_t)0xB0049AB2, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D8E0596,
+ (q31_t)0xAE312B91, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91,
+ (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9F13C7D0,
+ (q31_t)0xAC64D510, (q31_t)0x9F979331, (q31_t)0xABCCFD82,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA0A1F24C,
+ (q31_t)0xAA9FBF1D, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA2386283,
+ (q31_t)0xA8E21106, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3D6F533,
+ (q31_t)0xA72BF173, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68,
+ (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA72BF173,
+ (q31_t)0xA3D6F533, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+ (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8E21106,
+ (q31_t)0xA2386283, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA9FBF1D,
+ (q31_t)0xA0A1F24C, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72,
+ (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC64D510,
+ (q31_t)0x9F13C7D0, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAE312B91,
+ (q31_t)0x9D8E0596, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xB0049AB2,
+ (q31_t)0x9C10CD70, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB1DEF9E8,
+ (q31_t)0x9A9C406D, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C,
+ (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3C0200C,
+ (q31_t)0x99307EE0, (q31_t)0xB461FC70, (q31_t)0x98B93828,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB5A7E362,
+ (q31_t)0x97CDA855, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+ (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB796199B,
+ (q31_t)0x9673DB94, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB98A97D8,
+ (q31_t)0x9523369B, (q31_t)0xBA32CA70, (q31_t)0x94B50D87,
+ (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB8532AF,
+ (q31_t)0x93DBD69F, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD85BE2F,
+ (q31_t)0x929DD805, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+ (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF8C0DE2,
+ (q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3,
+ (q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66,
+ (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E,
+ (q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+ (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50,
+ (q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527,
+ (q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F,
+ (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78,
+ (q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2,
+ (q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D,
+ (q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504,
+ (q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677,
+ (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14,
+ (q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5,
+ (q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+ (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A,
+ (q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8,
+ (q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC,
+ (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5,
+ (q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+ (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A,
+ (q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10,
+ (q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13,
+ (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB,
+ (q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+ (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E,
+ (q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B,
+ (q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39,
+ (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4,
+ (q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D,
+ (q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+ (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA,
+ (q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65,
+ (q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683,
+ (q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919,
+ (q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D,
+ (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0,
+ (q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_2048_q31[3072] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885,
+ (q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88,
+ (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A,
+ (q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296,
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+ (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4A07260,
+ (q31_t)0x7F7E648B, (q31_t)0xF43C53CA, (q31_t)0x7F754E7F,
+ (q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3742CA1,
+ (q31_t)0x7F62368F, (q31_t)0xF310248A, (q31_t)0x7F5834B6,
+ (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF2482C89,
+ (q31_t)0x7F434563, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5,
+ (q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF11C789A,
+ (q31_t)0x7F2191B4, (q31_t)0xF0B8A401, (q31_t)0x7F15B8EE,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEFF11752,
+ (q31_t)0x7EFD1C3C, (q31_t)0xEF8D5FB8, (q31_t)0x7EF0585F,
+ (q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEC60F31,
+ (q31_t)0x7ED5E5C6, (q31_t)0xEE6276BF, (q31_t)0x7EC8371A,
+ (q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xED9B66B2,
+ (q31_t)0x7EABEF2C, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+ (q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xEC71244F,
+ (q31_t)0x7E7F3956, (q31_t)0xEC0DD0A8, (q31_t)0x7E6FB5F3,
+ (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB474E80,
+ (q31_t)0x7E4FC53E, (q31_t)0xEAE4207A, (q31_t)0x7E3F57FE,
+ (q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA1DEBBB,
+ (q31_t)0x7E1D93E9, (q31_t)0xE9BAE57C, (q31_t)0x7E0C3D29,
+ (q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE8F50273,
+ (q31_t)0x7DE8A670, (q31_t)0xE8922621, (q31_t)0x7DD6668E,
+ (q31_t)0xE82F5844, (q31_t)0x7DC3D90D, (q31_t)0xE7CC9917,
+ (q31_t)0x7DB0FDF7, (q31_t)0xE769E8D8, (q31_t)0x7D9DD55A,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6A4B616,
+ (q31_t)0x7D769BB5, (q31_t)0xE642340D, (q31_t)0x7D628AC5,
+ (q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE57D5FDA,
+ (q31_t)0x7D3980EC, (q31_t)0xE51B0E2A, (q31_t)0x7D24881A,
+ (q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE4569CCB,
+ (q31_t)0x7CF9AEF0, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1,
+ (q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE330734C,
+ (q31_t)0x7CB72724, (q31_t)0xE2CE88B2, (q31_t)0x7CA05FF1,
+ (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE20AE9C1,
+ (q31_t)0x7C71EAF8, (q31_t)0xE1A935E1, (q31_t)0x7C5A3D4F,
+ (q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE0E60684,
+ (q31_t)0x7C29FBEE, (q31_t)0xE0848B7F, (q31_t)0x7C116853,
+ (q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFC1CFF2,
+ (q31_t)0x7BDF5B94, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F,
+ (q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDE9E4C60,
+ (q31_t)0x7B920B89, (q31_t)0xDE3D4963, (q31_t)0x7B77ADA8,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDD7B8220,
+ (q31_t)0x7B420D7A, (q31_t)0xDD1ABE51, (q31_t)0x7B26CB4F,
+ (q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC597781,
+ (q31_t)0x7AEF6323, (q31_t)0xDBF8F4F8, (q31_t)0x7AD33D45,
+ (q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB3832CD,
+ (q31_t)0x7A9A0E4F, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+ (q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA17BA4A,
+ (q31_t)0x7A4210D8, (q31_t)0xD9B7C093, (q31_t)0x7A24256E,
+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD8F81439,
+ (q31_t)0x79E76CA6, (q31_t)0xD898620C, (q31_t)0x79C89F6D,
+ (q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD7D946D7,
+ (q31_t)0x798A23B1, (q31_t)0xD779DE46, (q31_t)0x796A7554,
+ (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6BB585D,
+ (q31_t)0x792A37FE, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C,
+ (q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD59E4EFE,
+ (q31_t)0x78C7ABA1, (q31_t)0xD53F7FDA, (q31_t)0x78A63D10,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD48230E8,
+ (q31_t)0x786280BF, (q31_t)0xD423B190, (q31_t)0x78403328,
+ (q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3670445,
+ (q31_t)0x77FAB988, (q31_t)0xD308D6C6, (q31_t)0x77D78DAA,
+ (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD24CCF38,
+ (q31_t)0x7790583D, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB,
+ (q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD13397E1,
+ (q31_t)0x77235F2D, (q31_t)0xD0D61433, (q31_t)0x76FE790E,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD01B6459,
+ (q31_t)0x76B3D0B3, (q31_t)0xCFBE389F, (q31_t)0x768E0EA5,
+ (q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF043AB2,
+ (q31_t)0x7641AF3C, (q31_t)0xCEA768F2, (q31_t)0x761B1211,
+ (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCDEE20FC,
+ (q31_t)0x75CCFD42, (q31_t)0xCD91AB38, (q31_t)0x75A585CF,
+ (q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCCD91D3D,
+ (q31_t)0x7555BD4B, (q31_t)0xCC7D0577, (q31_t)0x752D6C6C,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBC53578,
+ (q31_t)0x74DBF1EF, (q31_t)0xCB697DB0, (q31_t)0x74B2C883,
+ (q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAB26FA9,
+ (q31_t)0x745F9DD1, (q31_t)0xCA5719DB, (q31_t)0x74359CBD,
+ (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9A0D1C4,
+ (q31_t)0x73E0C3A3, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+ (q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC89061BA,
+ (q31_t)0x735F6626, (q31_t)0xC835D5D0, (q31_t)0x7333B883,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7812571,
+ (q31_t)0x72DB8828, (q31_t)0xC727016C, (q31_t)0x72AF05A6,
+ (q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC67322CD,
+ (q31_t)0x72552C84, (q31_t)0xC61968A2, (q31_t)0x7227D61C,
+ (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC5665FA8,
+ (q31_t)0x71CC5626, (q31_t)0xC50D1148, (q31_t)0x719E2CD2,
+ (q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC45AE1D7,
+ (q31_t)0x71410804, (q31_t)0xC4020132, (q31_t)0x71120CC5,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC350AF25,
+ (q31_t)0x70B34524, (q31_t)0xC2F83E2A, (q31_t)0x708378FE,
+ (q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC247CD5A,
+ (q31_t)0x70231099, (q31_t)0xC1EFCDF2, (q31_t)0x6FF27496,
+ (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC1404233,
+ (q31_t)0x6F906D84, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1,
+ (q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC03A1368,
+ (q31_t)0x6EFB5F12, (q31_t)0xBFE2FCDF, (q31_t)0x6EC92682,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF3546A8,
+ (q31_t)0x6E63E87F, (q31_t)0xBEDEA765, (q31_t)0x6E30E349,
+ (q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE31E19B,
+ (q31_t)0x6DCA0D14, (q31_t)0xBDDBBB7F, (q31_t)0x6D963C54,
+ (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD2FE9E1,
+ (q31_t)0x6D2DD027, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB,
+ (q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC2F6513,
+ (q31_t)0x6C8F351C, (q31_t)0xBBDA36DC, (q31_t)0x6C59D0A9,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB3058C0,
+ (q31_t)0x6BEE3F62, (q31_t)0xBADBA943, (q31_t)0x6BB812D0,
+ (q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA32CA70,
+ (q31_t)0x6B4AF278, (q31_t)0xB9DE9B83, (q31_t)0x6B13FEF5,
+ (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB936BFA3,
+ (q31_t)0x6AA551E8, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB83C3DD1,
+ (q31_t)0x69FD614A, (q31_t)0xB7E9157A, (q31_t)0x69C4E37A,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB7434A67,
+ (q31_t)0x69532442, (q31_t)0xB6F0A811, (q31_t)0x6919E320,
+ (q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB64BEACC,
+ (q31_t)0x68A69E81, (q31_t)0xB5F9D042, (q31_t)0x686C9B4B,
+ (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB556245E,
+ (q31_t)0x67F7D3C4, (q31_t)0xB5049368, (q31_t)0x67BD0FBC,
+ (q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB461FC70,
+ (q31_t)0x6746C7D7, (q31_t)0xB410F6D2, (q31_t)0x670B4443,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB36F784E,
+ (q31_t)0x66937E90, (q31_t)0xB31EFFCB, (q31_t)0x66573CBB,
+ (q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB27E9D3B,
+ (q31_t)0x65DDFBD3, (q31_t)0xB22EB392, (q31_t)0x65A0FD0B,
+ (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB18F7070,
+ (q31_t)0x6526438E, (q31_t)0xB140175B, (q31_t)0x64E88926,
+ (q31_t)0xB0F0EEDA, (q31_t)0x64AA907F, (q31_t)0xB0A1F71C,
+ (q31_t)0x646C59BF, (q31_t)0xB0533055, (q31_t)0x642DE50D,
+ (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFB63667,
+ (q31_t)0x63B0426D, (q31_t)0xAF6803A1, (q31_t)0x637114CC,
+ (q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAECC336B,
+ (q31_t)0x62F201AC, (q31_t)0xAE7E965B, (q31_t)0x62B21C7B,
+ (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xADE3F33E,
+ (q31_t)0x62319B9D, (q31_t)0xAD96ED91, (q31_t)0x61F1003E,
+ (q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xACFD7AE8,
+ (q31_t)0x616F146B, (q31_t)0xACB10E4A, (q31_t)0x612DC446,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAC18CF68,
+ (q31_t)0x60AA704F, (q31_t)0xABCCFD82, (q31_t)0x60686CCE,
+ (q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB35F5B5,
+ (q31_t)0x5FE3B38D, (q31_t)0xAAEAC02B, (q31_t)0x5FA0FE1E,
+ (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA54F2B9,
+ (q31_t)0x5F1AE273, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+ (q31_t)0xA9BFF8A8, (q31_t)0x5E93DC1F, (q31_t)0xA975CB56,
+ (q31_t)0x5E50015D, (q31_t)0xA92BD366, (q31_t)0x5E0BEC6E,
+ (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA8988463,
+ (q31_t)0x5D8314B0, (q31_t)0xA84F2DA9, (q31_t)0x5D3E5236,
+ (q31_t)0xA8060D08, (q31_t)0x5CF95638, (q31_t)0xA7BD22AB,
+ (q31_t)0x5CB420DF, (q31_t)0xA7746EC0, (q31_t)0x5C6EB258,
+ (q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA6E3AAF2,
+ (q31_t)0x5BE32A67, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153,
+ (q31_t)0xA653C302, (q31_t)0x5B56BFBD, (q31_t)0xA60C21ED,
+ (q31_t)0x5B1035CF, (q31_t)0xA5C4B855, (q31_t)0x5AC973B4,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA5368C4B,
+ (q31_t)0x5A3B47AA, (q31_t)0xA4EFCA31, (q31_t)0x59F3DE12,
+ (q31_t)0xA4A94042, (q31_t)0x59AC3CFD, (q31_t)0xA462EEAC,
+ (q31_t)0x59646497, (q31_t)0xA41CD598, (q31_t)0x591C550E,
+ (q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA3914DA7,
+ (q31_t)0x588B913F, (q31_t)0xA34BDF20, (q31_t)0x5842DD54,
+ (q31_t)0xA306A9C7, (q31_t)0x57F9F2F7, (q31_t)0xA2C1ADC9,
+ (q31_t)0x57B0D256, (q31_t)0xA27CEB4F, (q31_t)0x57677B9D,
+ (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1F41391,
+ (q31_t)0x56D42C99, (q31_t)0xA1AFFEA2, (q31_t)0x568A34A9,
+ (q31_t)0xA16C23E1, (q31_t)0x56400757, (q31_t)0xA1288376,
+ (q31_t)0x55F5A4D2, (q31_t)0xA0E51D8C, (q31_t)0x55AB0D46,
+ (q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA05F01E1,
+ (q31_t)0x55153FD4, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A,
+ (q31_t)0x9FD9D22A, (q31_t)0x547EA073, (q31_t)0x9F979331,
+ (q31_t)0x5433027D, (q31_t)0x9F558FB0, (q31_t)0x53E73097,
+ (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9ED23BB9,
+ (q31_t)0x534EF1B5, (q31_t)0x9E90EB94, (q31_t)0x53028517,
+ (q31_t)0x9E4FD789, (q31_t)0x52B5E545, (q31_t)0x9E0EFFC1,
+ (q31_t)0x5269126E, (q31_t)0x9DCE6462, (q31_t)0x521C0CC1,
+ (q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D4DE384,
+ (q31_t)0x518169A4, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+ (q31_t)0x9CCE562B, (q31_t)0x50E5FD6C, (q31_t)0x9C8EEB33,
+ (q31_t)0x5097FC5E, (q31_t)0x9C4FBD92, (q31_t)0x5049C999,
+ (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9BD21AF2,
+ (q31_t)0x4FACCFAB, (q31_t)0x9B93A640, (q31_t)0x4F5E08E3,
+ (q31_t)0x9B556F80, (q31_t)0x4F0F1126, (q31_t)0x9B1776D9,
+ (q31_t)0x4EBFE8A4, (q31_t)0x9AD9BC71, (q31_t)0x4E708F8F,
+ (q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A5F02F5,
+ (q31_t)0x4DD14C6E, (q31_t)0x9A22042C, (q31_t)0x4D8162C4,
+ (q31_t)0x99E5443A, (q31_t)0x4D31494B, (q31_t)0x99A8C344,
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+ (q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x80000000,
+ (q31_t)0x00000000, (q31_t)0x8000277A, (q31_t)0xFF9B781D,
+ (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8001634D,
+ (q31_t)0xFED2694F, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0,
+ (q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x80058D2E,
+ (q31_t)0xFDA4D928, (q31_t)0x80078E5E, (q31_t)0xFD40565B,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800C7D8C,
+ (q31_t)0xFC775616, (q31_t)0x800F6B88, (q31_t)0xFC12D919,
+ (q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x80163440,
+ (q31_t)0xFB49E6A2, (q31_t)0x801A0EF7, (q31_t)0xFAE571A4,
+ (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x8022B113,
+ (q31_t)0xFA1C9156, (q31_t)0x80277872, (q31_t)0xF9B82683,
+ (q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x8031F3C1,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8037A7AC, (q31_t)0xF88AFE41,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8043FBF6,
+ (q31_t)0xF7C24F58, (q31_t)0x804A9C4D, (q31_t)0xF75DFF65,
+ (q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x8058C94C,
+ (q31_t)0xF6956FB6, (q31_t)0x806055EA, (q31_t)0xF6313076,
+ (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x80705B50,
+ (q31_t)0xF568C45A, (q31_t)0x8078D40D, (q31_t)0xF50497FA,
+ (q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x808AB180,
+ (q31_t)0xF43C53CA, (q31_t)0x8094162B, (q31_t)0xF3D83C76,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A7CB49,
+ (q31_t)0xF310248A, (q31_t)0x80B21BAF, (q31_t)0xF2AC246D,
+ (q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C7A80A,
+ (q31_t)0xF1E43D1C, (q31_t)0x80D2E3F1, (q31_t)0xF1805662,
+ (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80EA4712,
+ (q31_t)0xF0B8A401, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4,
+ (q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x810FA7A0,
+ (q31_t)0xEF8D5FB8, (q31_t)0x811CB9CA, (q31_t)0xEF29B243,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8137C8E6,
+ (q31_t)0xEE6276BF, (q31_t)0x8145C5C6, (q31_t)0xEDFEE92B,
+ (q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x8162AA03,
+ (q31_t)0xED37EF91, (q31_t)0x8171914E, (q31_t)0xECD48406,
+ (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81904A0C,
+ (q31_t)0xEC0DD0A8, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E,
+ (q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81C0A801,
+ (q31_t)0xEAE4207A, (q31_t)0x81D16320, (q31_t)0xEA80FF79,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81F3C2D7,
+ (q31_t)0xE9BAE57C, (q31_t)0x82056758, (q31_t)0xE957ECFB,
+ (q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82299971,
+ (q31_t)0xE8922621, (q31_t)0x823C26F2, (q31_t)0xE82F5844,
+ (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82622AA5,
+ (q31_t)0xE769E8D8, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x829D753A,
+ (q31_t)0xE642340D, (q31_t)0x82B1D381, (q31_t)0xE5DFC1E4,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82DB77E5,
+ (q31_t)0xE51B0E2A, (q31_t)0x82F0BDE8, (q31_t)0xE4B8CD10,
+ (q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x831C314E,
+ (q31_t)0xE3F47D95, (q31_t)0x83325E97, (q31_t)0xE3926FAC,
+ (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835FA00E,
+ (q31_t)0xE2CE88B2, (q31_t)0x8376B422, (q31_t)0xE26CB01A,
+ (q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x83A5C2B0,
+ (q31_t)0xE1A935E1, (q31_t)0x83BDBD0D, (q31_t)0xE14794B9,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83EE97AC,
+ (q31_t)0xE0848B7F, (q31_t)0x840777CF, (q31_t)0xE02323E5,
+ (q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x843A1D70,
+ (q31_t)0xDF608FE3, (q31_t)0x8453E2CE, (q31_t)0xDEFF63F4,
+ (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84885257,
+ (q31_t)0xDE3D4963, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84D934B0,
+ (q31_t)0xDD1ABE51, (q31_t)0x84F4C2D3, (q31_t)0xDCBA1008,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x852CC2BA,
+ (q31_t)0xDBF8F4F8, (q31_t)0x8549345C, (q31_t)0xDB9888A8,
+ (q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x8582FAA4,
+ (q31_t)0xDAD7F3A2, (q31_t)0x85A04F28, (q31_t)0xDA77CB62,
+ (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85DBDA91,
+ (q31_t)0xD9B7C093, (q31_t)0x85FA1152, (q31_t)0xD957DE7A,
+ (q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x86376092,
+ (q31_t)0xD898620C, (q31_t)0x865678EA, (q31_t)0xD838C82D,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86958AAB,
+ (q31_t)0xD779DE46, (q31_t)0x86B583EE, (q31_t)0xD71A8EB5,
+ (q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86F656D3,
+ (q31_t)0xD65C3B7B, (q31_t)0x8717304E, (q31_t)0xD5FD3847,
+ (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x8759C2EF,
+ (q31_t)0xD53F7FDA, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+ (q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87BFCCD7,
+ (q31_t)0xD423B190, (q31_t)0x87E2649B, (q31_t)0xD3C54D46,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x88287255,
+ (q31_t)0xD308D6C6, (q31_t)0x884BE820, (q31_t)0xD2AAC504,
+ (q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8893B124,
+ (q31_t)0xD1EEF59E, (q31_t)0x88B80431, (q31_t)0xD191386D,
+ (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x890186F1,
+ (q31_t)0xD0D61433, (q31_t)0x8926B677, (q31_t)0xD078AD9D,
+ (q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x8971F15A,
+ (q31_t)0xCFBE389F, (q31_t)0x8997FC89, (q31_t)0xCF612AAA,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89E4EDEE,
+ (q31_t)0xCEA768F2, (q31_t)0x8A0BD3F5, (q31_t)0xCE4AB5A2,
+ (q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A5A7A30,
+ (q31_t)0xCD91AB38, (q31_t)0x8A823A35, (q31_t)0xCD355490,
+ (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AD29393,
+ (q31_t)0xCC7D0577, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78,
+ (q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B4D377C,
+ (q31_t)0xCB697DB0, (q31_t)0x8B76A8E4, (q31_t)0xCB0DE658,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BCA6342,
+ (q31_t)0xCA5719DB, (q31_t)0x8BF4AC05, (q31_t)0xC9FBE527,
+ (q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C4A142F,
+ (q31_t)0xC945DFEC, (q31_t)0x8C753361, (q31_t)0xC8EB0FD6,
+ (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CCC477D,
+ (q31_t)0xC835D5D0, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50,
+ (q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D50FA59,
+ (q31_t)0xC727016C, (q31_t)0x8D7DC399, (q31_t)0xC6CD0079,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DD829E4,
+ (q31_t)0xC61968A2, (q31_t)0x8E05C6B7, (q31_t)0xC5BFD22E,
+ (q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E61D32D,
+ (q31_t)0xC50D1148, (q31_t)0x8E904298, (q31_t)0xC4B3E746,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8EEDF33B,
+ (q31_t)0xC4020132, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+ (q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F7C8701,
+ (q31_t)0xC2F83E2A, (q31_t)0x8FAC988E, (q31_t)0xC29FF2D4,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x900D8B69,
+ (q31_t)0xC1EFCDF2, (q31_t)0x903E6C7A, (q31_t)0xC197F4D3,
+ (q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90A0FD4E,
+ (q31_t)0xC0E8B648, (q31_t)0x90D2ACD3, (q31_t)0xC0915147,
+ (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x9136D97D,
+ (q31_t)0xBFE2FCDF, (q31_t)0x91695663, (q31_t)0xBF8C0DE2,
+ (q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91CF1CB6,
+ (q31_t)0xBEDEA765, (q31_t)0x920265E4, (q31_t)0xBE88304F,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9269C3AC,
+ (q31_t)0xBDDBBB7F, (q31_t)0x929DD805, (q31_t)0xBD85BE2F,
+ (q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x9306CB04,
+ (q31_t)0xBCDA3ECA, (q31_t)0x933BA968, (q31_t)0xBC84BD1E,
+ (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93A62F56,
+ (q31_t)0xBBDA36DC, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF,
+ (q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x9447ED2F,
+ (q31_t)0xBADBA943, (q31_t)0x947E5C32, (q31_t)0xBA87246C,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94EC010B,
+ (q31_t)0xB9DE9B83, (q31_t)0x9523369B, (q31_t)0xB98A97D8,
+ (q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x9592675B,
+ (q31_t)0xB8E31319, (q31_t)0x95CA6246, (q31_t)0xB88F926C,
+ (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x963B1C85,
+ (q31_t)0xB7E9157A, (q31_t)0x9673DB94, (q31_t)0xB796199B,
+ (q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96E61CDF,
+ (q31_t)0xB6F0A811, (q31_t)0x971F9ED6, (q31_t)0xB69E32CD,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x979364B5,
+ (q31_t)0xB5F9D042, (q31_t)0x97CDA855, (q31_t)0xB5A7E362,
+ (q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9842F043,
+ (q31_t)0xB5049368, (q31_t)0x987DF449, (q31_t)0xB4B330B2,
+ (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98F4BBBC,
+ (q31_t)0xB410F6D2, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+ (q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x99A8C344,
+ (q31_t)0xB31EFFCB, (q31_t)0x99E5443A, (q31_t)0xB2CEB6B5,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A5F02F5,
+ (q31_t)0xB22EB392, (q31_t)0x9A9C406D, (q31_t)0xB1DEF9E8,
+ (q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9B1776D9,
+ (q31_t)0xB140175B, (q31_t)0x9B556F80, (q31_t)0xB0F0EEDA,
+ (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BD21AF2,
+ (q31_t)0xB0533055, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2,
+ (q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C8EEB33,
+ (q31_t)0xAF6803A1, (q31_t)0x9CCE562B, (q31_t)0xAF1A0293,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D4DE384,
+ (q31_t)0xAE7E965B, (q31_t)0x9D8E0596, (q31_t)0xAE312B91,
+ (q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9E0EFFC1,
+ (q31_t)0xAD96ED91, (q31_t)0x9E4FD789, (q31_t)0xAD4A1ABA,
+ (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9ED23BB9,
+ (q31_t)0xACB10E4A, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510,
+ (q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F979331,
+ (q31_t)0xABCCFD82, (q31_t)0x9FD9D22A, (q31_t)0xAB815F8C,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA05F01E1,
+ (q31_t)0xAAEAC02B, (q31_t)0xA0A1F24C, (q31_t)0xAA9FBF1D,
+ (q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA1288376,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA16C23E1, (q31_t)0xA9BFF8A8,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1F41391,
+ (q31_t)0xA92BD366, (q31_t)0xA2386283, (q31_t)0xA8E21106,
+ (q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA2C1ADC9,
+ (q31_t)0xA84F2DA9, (q31_t)0xA306A9C7, (q31_t)0xA8060D08,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3914DA7,
+ (q31_t)0xA7746EC0, (q31_t)0xA3D6F533, (q31_t)0xA72BF173,
+ (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA462EEAC,
+ (q31_t)0xA69B9B68, (q31_t)0xA4A94042, (q31_t)0xA653C302,
+ (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA5368C4B,
+ (q31_t)0xA5C4B855, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA60C21ED,
+ (q31_t)0xA4EFCA31, (q31_t)0xA653C302, (q31_t)0xA4A94042,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6E3AAF2,
+ (q31_t)0xA41CD598, (q31_t)0xA72BF173, (q31_t)0xA3D6F533,
+ (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA7BD22AB,
+ (q31_t)0xA34BDF20, (q31_t)0xA8060D08, (q31_t)0xA306A9C7,
+ (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8988463,
+ (q31_t)0xA27CEB4F, (q31_t)0xA8E21106, (q31_t)0xA2386283,
+ (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA975CB56,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA9BFF8A8, (q31_t)0xA16C23E1,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA54F2B9,
+ (q31_t)0xA0E51D8C, (q31_t)0xAA9FBF1D, (q31_t)0xA0A1F24C,
+ (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB35F5B5,
+ (q31_t)0xA01C4C72, (q31_t)0xAB815F8C, (q31_t)0x9FD9D22A,
+ (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC18CF68,
+ (q31_t)0x9F558FB0, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0,
+ (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACFD7AE8,
+ (q31_t)0x9E90EB94, (q31_t)0xAD4A1ABA, (q31_t)0x9E4FD789,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADE3F33E,
+ (q31_t)0x9DCE6462, (q31_t)0xAE312B91, (q31_t)0x9D8E0596,
+ (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAECC336B,
+ (q31_t)0x9D0DFE53, (q31_t)0xAF1A0293, (q31_t)0x9CCE562B,
+ (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAFB63667,
+ (q31_t)0x9C4FBD92, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70,
+ (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB0A1F71C,
+ (q31_t)0x9B93A640, (q31_t)0xB0F0EEDA, (q31_t)0x9B556F80,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB18F7070,
+ (q31_t)0x9AD9BC71, (q31_t)0xB1DEF9E8, (q31_t)0x9A9C406D,
+ (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB27E9D3B,
+ (q31_t)0x9A22042C, (q31_t)0xB2CEB6B5, (q31_t)0x99E5443A,
+ (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB36F784E,
+ (q31_t)0x996C816F, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+ (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB461FC70,
+ (q31_t)0x98B93828, (q31_t)0xB4B330B2, (q31_t)0x987DF449,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB556245E,
+ (q31_t)0x98082C3B, (q31_t)0xB5A7E362, (q31_t)0x97CDA855,
+ (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB64BEACC,
+ (q31_t)0x9759617E, (q31_t)0xB69E32CD, (q31_t)0x971F9ED6,
+ (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB7434A67,
+ (q31_t)0x96ACDBBD, (q31_t)0xB796199B, (q31_t)0x9673DB94,
+ (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB83C3DD1,
+ (q31_t)0x96029EB5, (q31_t)0xB88F926C, (q31_t)0x95CA6246,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB936BFA3,
+ (q31_t)0x955AAE17, (q31_t)0xB98A97D8, (q31_t)0x9523369B,
+ (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA32CA70,
+ (q31_t)0x94B50D87, (q31_t)0xBA87246C, (q31_t)0x947E5C32,
+ (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB3058C0,
+ (q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F,
+ (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513,
+ (q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1,
+ (q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805,
+ (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B,
+ (q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4,
+ (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8,
+ (q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663,
+ (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368,
+ (q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233,
+ (q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A,
+ (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A,
+ (q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E,
+ (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25,
+ (q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+ (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8,
+ (q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7,
+ (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD,
+ (q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399,
+ (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571,
+ (q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30,
+ (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA,
+ (q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4,
+ (q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05,
+ (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9,
+ (q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4,
+ (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578,
+ (q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D,
+ (q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC,
+ (q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5,
+ (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2,
+ (q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89,
+ (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459,
+ (q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677,
+ (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1,
+ (q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38,
+ (q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820,
+ (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445,
+ (q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B,
+ (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8,
+ (q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+ (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE,
+ (q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D,
+ (q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE,
+ (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7,
+ (q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA,
+ (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439,
+ (q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152,
+ (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A,
+ (q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD,
+ (q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C,
+ (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781,
+ (q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3,
+ (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220,
+ (q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62,
+ (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60,
+ (q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2,
+ (q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF,
+ (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684,
+ (q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D,
+ (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1,
+ (q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422,
+ (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C,
+ (q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB,
+ (q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8,
+ (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA,
+ (q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381,
+ (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616,
+ (q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+ (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917,
+ (q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273,
+ (q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758,
+ (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB,
+ (q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320,
+ (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80,
+ (q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C,
+ (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F,
+ (q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2,
+ (q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6,
+ (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31,
+ (q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA,
+ (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752,
+ (q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C,
+ (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A,
+ (q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89,
+ (q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF,
+ (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1,
+ (q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B,
+ (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260,
+ (q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D,
+ (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743,
+ (q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5,
+ (q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D,
+ (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461,
+ (q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90,
+ (q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872,
+ (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB,
+ (q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89,
+ (q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88,
+ (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541,
+ (q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E,
+ (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69,
+ (q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5,
+ (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078,
+ (q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_4096_q31[6144] =
+{
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621,
+ (q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3,
+ (q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216,
+ (q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F,
+ (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64,
+ (q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F,
+ (q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F,
+ (q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1,
+ (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17,
+ (q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4,
+ (q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182,
+ (q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96,
+ (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553,
+ (q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6,
+ (q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790,
+ (q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840,
+ (q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C,
+ (q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B,
+ (q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF,
+ (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518,
+ (q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+ (q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152,
+ (q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261,
+ (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23,
+ (q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE,
+ (q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596,
+ (q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1,
+ (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7,
+ (q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A,
+ (q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494,
+ (q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C,
+ (q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89,
+ (q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC,
+ (q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE,
+ (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226,
+ (q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805,
+ (q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B,
+ (q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE,
+ (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD,
+ (q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389,
+ (q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865,
+ (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654,
+ (q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92,
+ (q31_t)0x7F489EAA, (q31_t)0x0D85D88F, (q31_t)0x7F434563,
+ (q31_t)0x0DB7D376, (q31_t)0x7F3DD87C, (q31_t)0x0DE9CC3F,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F32C3D0,
+ (q31_t)0x0E4DB75B, (q31_t)0x7F2D1C0E, (q31_t)0x0E7FA99D,
+ (q31_t)0x7F2760AF, (q31_t)0x0EB199A3, (q31_t)0x7F2191B4,
+ (q31_t)0x0EE38765, (q31_t)0x7F1BAF1E, (q31_t)0x0F1572DC,
+ (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0FAF24,
+ (q31_t)0x0F7942C6, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+ (q31_t)0x7F0360CB, (q31_t)0x0FDD0925, (q31_t)0x7EFD1C3C,
+ (q31_t)0x100EE8AD, (q31_t)0x7EF6C418, (q31_t)0x1040C5BB,
+ (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE9D913,
+ (q31_t)0x10A4784A, (q31_t)0x7EE34635, (q31_t)0x10D64DBC,
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+ (q31_t)0x7D808727, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x18C7699B, (q31_t)0x7D9423FB, (q31_t)0x18961727,
+ (q31_t)0x7D9DD55A, (q31_t)0x1864C0E9, (q31_t)0x7DA77359,
+ (q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x1802092C,
+ (q31_t)0x7DBA7534, (q31_t)0x17D0A7BB, (q31_t)0x7DC3D90D,
+ (q31_t)0x179F429F, (q31_t)0x7DCD2981, (q31_t)0x176DD9DE,
+ (q31_t)0x7DD6668E, (q31_t)0x173C6D80, (q31_t)0x7DDF9034,
+ (q31_t)0x170AFD8D, (q31_t)0x7DE8A670, (q31_t)0x16D98A0C,
+ (q31_t)0x7DF1A942, (q31_t)0x16A81305, (q31_t)0x7DFA98A7,
+ (q31_t)0x1676987F, (q31_t)0x7E03749F, (q31_t)0x16451A83,
+ (q31_t)0x7E0C3D29, (q31_t)0x16139917, (q31_t)0x7E14F242,
+ (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x15B08C11,
+ (q31_t)0x7E26221E, (q31_t)0x157F0086, (q31_t)0x7E2E9CDF,
+ (q31_t)0x154D71AA, (q31_t)0x7E37042A, (q31_t)0x151BDF85,
+ (q31_t)0x7E3F57FE, (q31_t)0x14EA4A1F, (q31_t)0x7E47985B,
+ (q31_t)0x14B8B17F, (q31_t)0x7E4FC53E, (q31_t)0x148715AD,
+ (q31_t)0x7E57DEA6, (q31_t)0x145576B1, (q31_t)0x7E5FE493,
+ (q31_t)0x1423D492, (q31_t)0x7E67D702, (q31_t)0x13F22F57,
+ (q31_t)0x7E6FB5F3, (q31_t)0x13C0870A, (q31_t)0x7E778165,
+ (q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x135D2D53,
+ (q31_t)0x7E86DDC5, (q31_t)0x132B7BF9, (q31_t)0x7E8E6EB1,
+ (q31_t)0x12F9C7AA, (q31_t)0x7E95EC19, (q31_t)0x12C8106E,
+ (q31_t)0x7E9D55FC, (q31_t)0x1296564D, (q31_t)0x7EA4AC58,
+ (q31_t)0x1264994E, (q31_t)0x7EABEF2C, (q31_t)0x1232D978,
+ (q31_t)0x7EB31E77, (q31_t)0x120116D4, (q31_t)0x7EBA3A39,
+ (q31_t)0x11CF516A, (q31_t)0x7EC1426F, (q31_t)0x119D8940,
+ (q31_t)0x7EC8371A, (q31_t)0x116BBE5F, (q31_t)0x7ECF1837,
+ (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x11082096,
+ (q31_t)0x7EDC9FC6, (q31_t)0x10D64DBC, (q31_t)0x7EE34635,
+ (q31_t)0x10A4784A, (q31_t)0x7EE9D913, (q31_t)0x1072A047,
+ (q31_t)0x7EF0585F, (q31_t)0x1040C5BB, (q31_t)0x7EF6C418,
+ (q31_t)0x100EE8AD, (q31_t)0x7EFD1C3C, (q31_t)0x0FDD0925,
+ (q31_t)0x7F0360CB, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3,
+ (q31_t)0x0F7942C6, (q31_t)0x7F0FAF24, (q31_t)0x0F475BFE,
+ (q31_t)0x7F15B8EE, (q31_t)0x0F1572DC, (q31_t)0x7F1BAF1E,
+ (q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0EB199A3,
+ (q31_t)0x7F2760AF, (q31_t)0x0E7FA99D, (q31_t)0x7F2D1C0E,
+ (q31_t)0x0E4DB75B, (q31_t)0x7F32C3D0, (q31_t)0x0E1BC2E3,
+ (q31_t)0x7F3857F5, (q31_t)0x0DE9CC3F, (q31_t)0x7F3DD87C,
+ (q31_t)0x0DB7D376, (q31_t)0x7F434563, (q31_t)0x0D85D88F,
+ (q31_t)0x7F489EAA, (q31_t)0x0D53DB92, (q31_t)0x7F4DE450,
+ (q31_t)0x0D21DC87, (q31_t)0x7F531654, (q31_t)0x0CEFDB75,
+ (q31_t)0x7F5834B6, (q31_t)0x0CBDD865, (q31_t)0x7F5D3F75,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0C59CC67,
+ (q31_t)0x7F671A04, (q31_t)0x0C27C389, (q31_t)0x7F6BE9D4,
+ (q31_t)0x0BF5B8CB, (q31_t)0x7F70A5FD, (q31_t)0x0BC3AC35,
+ (q31_t)0x7F754E7F, (q31_t)0x0B919DCE, (q31_t)0x7F79E35A,
+ (q31_t)0x0B5F8D9F, (q31_t)0x7F7E648B, (q31_t)0x0B2D7BAE,
+ (q31_t)0x7F82D214, (q31_t)0x0AFB6805, (q31_t)0x7F872BF3,
+ (q31_t)0x0AC952AA, (q31_t)0x7F8B7226, (q31_t)0x0A973BA5,
+ (q31_t)0x7F8FA4AF, (q31_t)0x0A6522FE, (q31_t)0x7F93C38C,
+ (q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x0A00ECE8,
+ (q31_t)0x7F9BC63F, (q31_t)0x09CECF89, (q31_t)0x7F9FAA15,
+ (q31_t)0x099CB0A7, (q31_t)0x7FA37A3C, (q31_t)0x096A9049,
+ (q31_t)0x7FA736B4, (q31_t)0x09386E77, (q31_t)0x7FAADF7C,
+ (q31_t)0x09064B3A, (q31_t)0x7FAE7494, (q31_t)0x08D42698,
+ (q31_t)0x7FB1F5FC, (q31_t)0x08A2009A, (q31_t)0x7FB563B2,
+ (q31_t)0x086FD947, (q31_t)0x7FB8BDB7, (q31_t)0x083DB0A7,
+ (q31_t)0x7FBC040A, (q31_t)0x080B86C1, (q31_t)0x7FBF36A9,
+ (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x07A72F45,
+ (q31_t)0x7FC560CF, (q31_t)0x077501BE, (q31_t)0x7FC85853,
+ (q31_t)0x0742D310, (q31_t)0x7FCB3C23, (q31_t)0x0710A344,
+ (q31_t)0x7FCE0C3E, (q31_t)0x06DE7261, (q31_t)0x7FD0C8A3,
+ (q31_t)0x06AC406F, (q31_t)0x7FD37152, (q31_t)0x067A0D75,
+ (q31_t)0x7FD6064B, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+ (q31_t)0x0615A48A, (q31_t)0x7FDAF518, (q31_t)0x05E36EA9,
+ (q31_t)0x7FDD4EEC, (q31_t)0x05B137DF, (q31_t)0x7FDF9508,
+ (q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x054CC7B0,
+ (q31_t)0x7FE3E616, (q31_t)0x051A8E5C, (q31_t)0x7FE5F108,
+ (q31_t)0x04E8543D, (q31_t)0x7FE7E840, (q31_t)0x04B6195D,
+ (q31_t)0x7FE9CBC0, (q31_t)0x0483DDC3, (q31_t)0x7FEB9B85,
+ (q31_t)0x0451A176, (q31_t)0x7FED5790, (q31_t)0x041F647F,
+ (q31_t)0x7FEEFFE1, (q31_t)0x03ED26E6, (q31_t)0x7FF09477,
+ (q31_t)0x03BAE8B1, (q31_t)0x7FF21553, (q31_t)0x0388A9E9,
+ (q31_t)0x7FF38273, (q31_t)0x03566A96, (q31_t)0x7FF4DBD8,
+ (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x02F1EA6B,
+ (q31_t)0x7FF7536F, (q31_t)0x02BFA9A4, (q31_t)0x7FF871A1,
+ (q31_t)0x028D6870, (q31_t)0x7FF97C17, (q31_t)0x025B26D7,
+ (q31_t)0x7FFA72D1, (q31_t)0x0228E4E1, (q31_t)0x7FFB55CE,
+ (q31_t)0x01F6A296, (q31_t)0x7FFC250F, (q31_t)0x01C45FFE,
+ (q31_t)0x7FFCE093, (q31_t)0x01921D1F, (q31_t)0x7FFD885A,
+ (q31_t)0x015FDA03, (q31_t)0x7FFE1C64, (q31_t)0x012D96B0,
+ (q31_t)0x7FFE9CB2, (q31_t)0x00FB532F, (q31_t)0x7FFF0942,
+ (q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x0096CBC1,
+ (q31_t)0x7FFFA72C, (q31_t)0x006487E3, (q31_t)0x7FFFD885,
+ (q31_t)0x003243F5, (q31_t)0x7FFFF621, (q31_t)0x00000000,
+ (q31_t)0x7FFFFFFF, (q31_t)0xFFCDBC0A, (q31_t)0x7FFFF621,
+ (q31_t)0xFF9B781D, (q31_t)0x7FFFD885, (q31_t)0xFF69343E,
+ (q31_t)0x7FFFA72C, (q31_t)0xFF36F078, (q31_t)0x7FFF6216,
+ (q31_t)0xFF04ACD0, (q31_t)0x7FFF0942, (q31_t)0xFED2694F,
+ (q31_t)0x7FFE9CB2, (q31_t)0xFEA025FC, (q31_t)0x7FFE1C64,
+ (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFE3BA001,
+ (q31_t)0x7FFCE093, (q31_t)0xFE095D69, (q31_t)0x7FFC250F,
+ (q31_t)0xFDD71B1E, (q31_t)0x7FFB55CE, (q31_t)0xFDA4D928,
+ (q31_t)0x7FFA72D1, (q31_t)0xFD72978F, (q31_t)0x7FF97C17,
+ (q31_t)0xFD40565B, (q31_t)0x7FF871A1, (q31_t)0xFD0E1594,
+ (q31_t)0x7FF7536F, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+ (q31_t)0xFCA99569, (q31_t)0x7FF4DBD8, (q31_t)0xFC775616,
+ (q31_t)0x7FF38273, (q31_t)0xFC45174E, (q31_t)0x7FF21553,
+ (q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFBE09B80,
+ (q31_t)0x7FEEFFE1, (q31_t)0xFBAE5E89, (q31_t)0x7FED5790,
+ (q31_t)0xFB7C223C, (q31_t)0x7FEB9B85, (q31_t)0xFB49E6A2,
+ (q31_t)0x7FE9CBC0, (q31_t)0xFB17ABC2, (q31_t)0x7FE7E840,
+ (q31_t)0xFAE571A4, (q31_t)0x7FE5F108, (q31_t)0xFAB3384F,
+ (q31_t)0x7FE3E616, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B,
+ (q31_t)0xFA4EC820, (q31_t)0x7FDF9508, (q31_t)0xFA1C9156,
+ (q31_t)0x7FDD4EEC, (q31_t)0xF9EA5B75, (q31_t)0x7FDAF518,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF985F28A,
+ (q31_t)0x7FD6064B, (q31_t)0xF953BF90, (q31_t)0x7FD37152,
+ (q31_t)0xF9218D9E, (q31_t)0x7FD0C8A3, (q31_t)0xF8EF5CBB,
+ (q31_t)0x7FCE0C3E, (q31_t)0xF8BD2CEF, (q31_t)0x7FCB3C23,
+ (q31_t)0xF88AFE41, (q31_t)0x7FC85853, (q31_t)0xF858D0BA,
+ (q31_t)0x7FC560CF, (q31_t)0xF826A461, (q31_t)0x7FC25596,
+ (q31_t)0xF7F4793E, (q31_t)0x7FBF36A9, (q31_t)0xF7C24F58,
+ (q31_t)0x7FBC040A, (q31_t)0xF79026B8, (q31_t)0x7FB8BDB7,
+ (q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF72BD967,
+ (q31_t)0x7FB1F5FC, (q31_t)0xF6F9B4C5, (q31_t)0x7FAE7494,
+ (q31_t)0xF6C79188, (q31_t)0x7FAADF7C, (q31_t)0xF6956FB6,
+ (q31_t)0x7FA736B4, (q31_t)0xF6634F58, (q31_t)0x7FA37A3C,
+ (q31_t)0xF6313076, (q31_t)0x7F9FAA15, (q31_t)0xF5FF1317,
+ (q31_t)0x7F9BC63F, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC,
+ (q31_t)0xF59ADD01, (q31_t)0x7F93C38C, (q31_t)0xF568C45A,
+ (q31_t)0x7F8FA4AF, (q31_t)0xF536AD55, (q31_t)0x7F8B7226,
+ (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4D28451,
+ (q31_t)0x7F82D214, (q31_t)0xF4A07260, (q31_t)0x7F7E648B,
+ (q31_t)0xF46E6231, (q31_t)0x7F79E35A, (q31_t)0xF43C53CA,
+ (q31_t)0x7F754E7F, (q31_t)0xF40A4734, (q31_t)0x7F70A5FD,
+ (q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3A63398,
+ (q31_t)0x7F671A04, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+ (q31_t)0xF342279A, (q31_t)0x7F5D3F75, (q31_t)0xF310248A,
+ (q31_t)0x7F5834B6, (q31_t)0xF2DE2378, (q31_t)0x7F531654,
+ (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF27A2770,
+ (q31_t)0x7F489EAA, (q31_t)0xF2482C89, (q31_t)0x7F434563,
+ (q31_t)0xF21633C0, (q31_t)0x7F3DD87C, (q31_t)0xF1E43D1C,
+ (q31_t)0x7F3857F5, (q31_t)0xF1B248A5, (q31_t)0x7F32C3D0,
+ (q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF14E665C,
+ (q31_t)0x7F2760AF, (q31_t)0xF11C789A, (q31_t)0x7F2191B4,
+ (q31_t)0xF0EA8D23, (q31_t)0x7F1BAF1E, (q31_t)0xF0B8A401,
+ (q31_t)0x7F15B8EE, (q31_t)0xF086BD39, (q31_t)0x7F0FAF24,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xF022F6DA,
+ (q31_t)0x7F0360CB, (q31_t)0xEFF11752, (q31_t)0x7EFD1C3C,
+ (q31_t)0xEFBF3A44, (q31_t)0x7EF6C418, (q31_t)0xEF8D5FB8,
+ (q31_t)0x7EF0585F, (q31_t)0xEF5B87B5, (q31_t)0x7EE9D913,
+ (q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEF7DF6A,
+ (q31_t)0x7EDC9FC6, (q31_t)0xEEC60F31, (q31_t)0x7ED5E5C6,
+ (q31_t)0xEE9441A0, (q31_t)0x7ECF1837, (q31_t)0xEE6276BF,
+ (q31_t)0x7EC8371A, (q31_t)0xEE30AE95, (q31_t)0x7EC1426F,
+ (q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xEDCD2687,
+ (q31_t)0x7EB31E77, (q31_t)0xED9B66B2, (q31_t)0x7EABEF2C,
+ (q31_t)0xED69A9B2, (q31_t)0x7EA4AC58, (q31_t)0xED37EF91,
+ (q31_t)0x7E9D55FC, (q31_t)0xED063855, (q31_t)0x7E95EC19,
+ (q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xECA2D2AC,
+ (q31_t)0x7E86DDC5, (q31_t)0xEC71244F, (q31_t)0x7E7F3956,
+ (q31_t)0xEC3F78F5, (q31_t)0x7E778165, (q31_t)0xEC0DD0A8,
+ (q31_t)0x7E6FB5F3, (q31_t)0xEBDC2B6D, (q31_t)0x7E67D702,
+ (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB78EA52,
+ (q31_t)0x7E57DEA6, (q31_t)0xEB474E80, (q31_t)0x7E4FC53E,
+ (q31_t)0xEB15B5E0, (q31_t)0x7E47985B, (q31_t)0xEAE4207A,
+ (q31_t)0x7E3F57FE, (q31_t)0xEAB28E55, (q31_t)0x7E37042A,
+ (q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA4F73EE,
+ (q31_t)0x7E26221E, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+ (q31_t)0xE9EC66E8, (q31_t)0x7E14F242, (q31_t)0xE9BAE57C,
+ (q31_t)0x7E0C3D29, (q31_t)0xE9896780, (q31_t)0x7E03749F,
+ (q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE92675F4,
+ (q31_t)0x7DF1A942, (q31_t)0xE8F50273, (q31_t)0x7DE8A670,
+ (q31_t)0xE8C3927F, (q31_t)0x7DDF9034, (q31_t)0xE8922621,
+ (q31_t)0x7DD6668E, (q31_t)0xE860BD60, (q31_t)0x7DCD2981,
+ (q31_t)0xE82F5844, (q31_t)0x7DC3D90D, (q31_t)0xE7FDF6D3,
+ (q31_t)0x7DBA7534, (q31_t)0xE7CC9917, (q31_t)0x7DB0FDF7,
+ (q31_t)0xE79B3F16, (q31_t)0x7DA77359, (q31_t)0xE769E8D8,
+ (q31_t)0x7D9DD55A, (q31_t)0xE7389664, (q31_t)0x7D9423FB,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6D5FCFC,
+ (q31_t)0x7D808727, (q31_t)0xE6A4B616, (q31_t)0x7D769BB5,
+ (q31_t)0xE6737319, (q31_t)0x7D6C9CE9, (q31_t)0xE642340D,
+ (q31_t)0x7D628AC5, (q31_t)0xE610F8F9, (q31_t)0x7D58654C,
+ (q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE5AE8ED8,
+ (q31_t)0x7D43E05E, (q31_t)0xE57D5FDA, (q31_t)0x7D3980EC,
+ (q31_t)0xE54C34F3, (q31_t)0x7D2F0E2A, (q31_t)0xE51B0E2A,
+ (q31_t)0x7D24881A, (q31_t)0xE4E9EB86, (q31_t)0x7D19EEBE,
+ (q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE487B2CF,
+ (q31_t)0x7D048228, (q31_t)0xE4569CCB, (q31_t)0x7CF9AEF0,
+ (q31_t)0xE4258B0A, (q31_t)0x7CEEC873, (q31_t)0xE3F47D95,
+ (q31_t)0x7CE3CEB1, (q31_t)0xE3C37473, (q31_t)0x7CD8C1AD,
+ (q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE3616F47,
+ (q31_t)0x7CC26DE5, (q31_t)0xE330734C, (q31_t)0x7CB72724,
+ (q31_t)0xE2FF7BC3, (q31_t)0x7CABCD27, (q31_t)0xE2CE88B2,
+ (q31_t)0x7CA05FF1, (q31_t)0xE29D9A22, (q31_t)0x7C94DF82,
+ (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE23BCAA2,
+ (q31_t)0x7C7DA504, (q31_t)0xE20AE9C1, (q31_t)0x7C71EAF8,
+ (q31_t)0xE1DA0D7E, (q31_t)0x7C661DBB, (q31_t)0xE1A935E1,
+ (q31_t)0x7C5A3D4F, (q31_t)0xE17862F3, (q31_t)0x7C4E49B6,
+ (q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE116CB3D,
+ (q31_t)0x7C362904, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+ (q31_t)0xE0B54698, (q31_t)0x7C1DBBB2, (q31_t)0xE0848B7F,
+ (q31_t)0x7C116853, (q31_t)0xE053D541, (q31_t)0x7C0501D1,
+ (q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFF27773,
+ (q31_t)0x7BEBFB70, (q31_t)0xDFC1CFF2, (q31_t)0x7BDF5B94,
+ (q31_t)0xDF912D6A, (q31_t)0x7BD2A89E, (q31_t)0xDF608FE3,
+ (q31_t)0x7BC5E28F, (q31_t)0xDF2FF764, (q31_t)0x7BB9096A,
+ (q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDECED59B,
+ (q31_t)0x7B9F1DE5, (q31_t)0xDE9E4C60, (q31_t)0x7B920B89,
+ (q31_t)0xDE6DC84B, (q31_t)0x7B84E61E, (q31_t)0xDE3D4963,
+ (q31_t)0x7B77ADA8, (q31_t)0xDE0CCFB1, (q31_t)0x7B6A6227,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDDABEC07,
+ (q31_t)0x7B4F920E, (q31_t)0xDD7B8220, (q31_t)0x7B420D7A,
+ (q31_t)0xDD4B1D8B, (q31_t)0x7B3475E4, (q31_t)0xDD1ABE51,
+ (q31_t)0x7B26CB4F, (q31_t)0xDCEA6478, (q31_t)0x7B190DBB,
+ (q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC89C108,
+ (q31_t)0x7AFD59A3, (q31_t)0xDC597781, (q31_t)0x7AEF6323,
+ (q31_t)0xDC293379, (q31_t)0x7AE159AE, (q31_t)0xDBF8F4F8,
+ (q31_t)0x7AD33D45, (q31_t)0xDBC8BC05, (q31_t)0x7AC50DEB,
+ (q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB685AE8,
+ (q31_t)0x7AA8766E, (q31_t)0xDB3832CD, (q31_t)0x7A9A0E4F,
+ (q31_t)0xDB08105E, (q31_t)0x7A8B9348, (q31_t)0xDAD7F3A2,
+ (q31_t)0x7A7D055B, (q31_t)0xDAA7DCA1, (q31_t)0x7A6E648A,
+ (q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA47BFED,
+ (q31_t)0x7A50EA46, (q31_t)0xDA17BA4A, (q31_t)0x7A4210D8,
+ (q31_t)0xD9E7BA7E, (q31_t)0x7A33248F, (q31_t)0xD9B7C093,
+ (q31_t)0x7A24256E, (q31_t)0xD987CC8F, (q31_t)0x7A151377,
+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD927F65B,
+ (q31_t)0x79F6B711, (q31_t)0xD8F81439, (q31_t)0x79E76CA6,
+ (q31_t)0xD8C8381C, (q31_t)0x79D80F6F, (q31_t)0xD898620C,
+ (q31_t)0x79C89F6D, (q31_t)0xD868920F, (q31_t)0x79B91CA4,
+ (q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD809046D,
+ (q31_t)0x7999DEC3, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+ (q31_t)0xD7A98F73, (q31_t)0x797A55E0, (q31_t)0xD779DE46,
+ (q31_t)0x796A7554, (q31_t)0xD74A335A, (q31_t)0x795A820E,
+ (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6EAF05E,
+ (q31_t)0x793A6360, (q31_t)0xD6BB585D, (q31_t)0x792A37FE,
+ (q31_t)0xD68BC6BA, (q31_t)0x7919F9EB, (q31_t)0xD65C3B7B,
+ (q31_t)0x7909A92C, (q31_t)0xD62CB6A7, (q31_t)0x78F945C3,
+ (q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD5CDC062,
+ (q31_t)0x78D846FB, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1,
+ (q31_t)0xD56EE424, (q31_t)0x78B6FDA8, (q31_t)0xD53F7FDA,
+ (q31_t)0x78A63D10, (q31_t)0xD5102227, (q31_t)0x789569DE,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD4B17AA7,
+ (q31_t)0x78738BB3, (q31_t)0xD48230E8, (q31_t)0x786280BF,
+ (q31_t)0xD452EDDE, (q31_t)0x7851633B, (q31_t)0xD423B190,
+ (q31_t)0x78403328, (q31_t)0xD3F47C06, (q31_t)0x782EF08B,
+ (q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3962559,
+ (q31_t)0x780C33B8, (q31_t)0xD3670445, (q31_t)0x77FAB988,
+ (q31_t)0xD337EA12, (q31_t)0x77E92CD8, (q31_t)0xD308D6C6,
+ (q31_t)0x77D78DAA, (q31_t)0xD2D9CA6A, (q31_t)0x77C5DC01,
+ (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD27BC69C,
+ (q31_t)0x77A24148, (q31_t)0xD24CCF38, (q31_t)0x7790583D,
+ (q31_t)0xD21DDEE1, (q31_t)0x777E5CC3, (q31_t)0xD1EEF59E,
+ (q31_t)0x776C4EDB, (q31_t)0xD1C01374, (q31_t)0x775A2E88,
+ (q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD162648F,
+ (q31_t)0x7735B6AE, (q31_t)0xD13397E1, (q31_t)0x77235F2D,
+ (q31_t)0xD104D26B, (q31_t)0x7710F54B, (q31_t)0xD0D61433,
+ (q31_t)0x76FE790E, (q31_t)0xD0A75D42, (q31_t)0x76EBEA77,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD04A054D,
+ (q31_t)0x76C69646, (q31_t)0xD01B6459, (q31_t)0x76B3D0B3,
+ (q31_t)0xCFECCAC7, (q31_t)0x76A0F8D2, (q31_t)0xCFBE389F,
+ (q31_t)0x768E0EA5, (q31_t)0xCF8FADE8, (q31_t)0x767B1230,
+ (q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF32AEEB,
+ (q31_t)0x7654E279, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xCED5CE08, (q31_t)0x762E69C3, (q31_t)0xCEA768F2,
+ (q31_t)0x761B1211, (q31_t)0xCE790B78, (q31_t)0x7607A827,
+ (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCE1C6776,
+ (q31_t)0x75E09DBD, (q31_t)0xCDEE20FC, (q31_t)0x75CCFD42,
+ (q31_t)0xCDBFE23A, (q31_t)0x75B94A9C, (q31_t)0xCD91AB38,
+ (q31_t)0x75A585CF, (q31_t)0xCD637BFD, (q31_t)0x7591AEDD,
+ (q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCD0734F8,
+ (q31_t)0x7569CA98, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B,
+ (q31_t)0xCCAB0D65, (q31_t)0x75419DE6, (q31_t)0xCC7D0577,
+ (q31_t)0x752D6C6C, (q31_t)0xCC4F057B, (q31_t)0x751928E0,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBF31D75,
+ (q31_t)0x74F06B9E, (q31_t)0xCBC53578, (q31_t)0x74DBF1EF,
+ (q31_t)0xCB975589, (q31_t)0x74C7663A, (q31_t)0xCB697DB0,
+ (q31_t)0x74B2C883, (q31_t)0xCB3BADF2, (q31_t)0x749E18CD,
+ (q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAE026E8,
+ (q31_t)0x74748371, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1,
+ (q31_t)0xCA84C0A2, (q31_t)0x744AA63E, (q31_t)0xCA5719DB,
+ (q31_t)0x74359CBD, (q31_t)0xCA297B5A, (q31_t)0x74208150,
+ (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9CE5748,
+ (q31_t)0x73F614C0, (q31_t)0xC9A0D1C4, (q31_t)0x73E0C3A3,
+ (q31_t)0xC97354A3, (q31_t)0x73CB60A7, (q31_t)0xC945DFEC,
+ (q31_t)0x73B5EBD0, (q31_t)0xC91873A5, (q31_t)0x73A06522,
+ (q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC8BDB485,
+ (q31_t)0x73752249, (q31_t)0xC89061BA, (q31_t)0x735F6626,
+ (q31_t)0xC863177B, (q31_t)0x73499838, (q31_t)0xC835D5D0,
+ (q31_t)0x7333B883, (q31_t)0xC8089CBF, (q31_t)0x731DC709,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7AE4489,
+ (q31_t)0x72F1AED8, (q31_t)0xC7812571, (q31_t)0x72DB8828,
+ (q31_t)0xC7540F10, (q31_t)0x72C54FC0, (q31_t)0xC727016C,
+ (q31_t)0x72AF05A6, (q31_t)0xC6F9FC8D, (q31_t)0x7298A9DC,
+ (q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC6A00D36,
+ (q31_t)0x726BBD48, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+ (q31_t)0xC6464144, (q31_t)0x723E8A1F, (q31_t)0xC61968A2,
+ (q31_t)0x7227D61C, (q31_t)0xC5EC98ED, (q31_t)0x7211107D,
+ (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC593146A,
+ (q31_t)0x71E3507F, (q31_t)0xC5665FA8, (q31_t)0x71CC5626,
+ (q31_t)0xC539B3F0, (q31_t)0x71B54A40, (q31_t)0xC50D1148,
+ (q31_t)0x719E2CD2, (q31_t)0xC4E077B8, (q31_t)0x7186FDDE,
+ (q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC4875FF8,
+ (q31_t)0x71586B73, (q31_t)0xC45AE1D7, (q31_t)0x71410804,
+ (q31_t)0xC42E6CE8, (q31_t)0x7129931E, (q31_t)0xC4020132,
+ (q31_t)0x71120CC5, (q31_t)0xC3D59EBD, (q31_t)0x70FA74FB,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC37CF5B0,
+ (q31_t)0x70CB1127, (q31_t)0xC350AF25, (q31_t)0x70B34524,
+ (q31_t)0xC32471F6, (q31_t)0x709B67C0, (q31_t)0xC2F83E2A,
+ (q31_t)0x708378FE, (q31_t)0xC2CC13C7, (q31_t)0x706B78E3,
+ (q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC273DB58,
+ (q31_t)0x703B44AC, (q31_t)0xC247CD5A, (q31_t)0x70231099,
+ (q31_t)0xC21BC8E0, (q31_t)0x700ACB3B, (q31_t)0xC1EFCDF2,
+ (q31_t)0x6FF27496, (q31_t)0xC1C3DC96, (q31_t)0x6FDA0CAD,
+ (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC16C16B0,
+ (q31_t)0x6FA90920, (q31_t)0xC1404233, (q31_t)0x6F906D84,
+ (q31_t)0xC1147763, (q31_t)0x6F77C0B3, (q31_t)0xC0E8B648,
+ (q31_t)0x6F5F02B1, (q31_t)0xC0BCFEE7, (q31_t)0x6F463383,
+ (q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC065AD70,
+ (q31_t)0x6F1461AF, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12,
+ (q31_t)0xC00E8335, (q31_t)0x6EE24B57, (q31_t)0xBFE2FCDF,
+ (q31_t)0x6EC92682, (q31_t)0xBFB7806C, (q31_t)0x6EAFF098,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF60A54A,
+ (q31_t)0x6E7D5193, (q31_t)0xBF3546A8, (q31_t)0x6E63E87F,
+ (q31_t)0xBF09F204, (q31_t)0x6E4A6E65, (q31_t)0xBEDEA765,
+ (q31_t)0x6E30E349, (q31_t)0xBEB366D1, (q31_t)0x6E17472F,
+ (q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE5D03E5,
+ (q31_t)0x6DE3DC11, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+ (q31_t)0xBE06C977, (q31_t)0x6DB02D29, (q31_t)0xBDDBBB7F,
+ (q31_t)0x6D963C54, (q31_t)0xBDB0B7BA, (q31_t)0x6D7C3A98,
+ (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD5ACEE5,
+ (q31_t)0x6D48047E, (q31_t)0xBD2FE9E1, (q31_t)0x6D2DD027,
+ (q31_t)0xBD050F2C, (q31_t)0x6D138AFA, (q31_t)0xBCDA3ECA,
+ (q31_t)0x6CF934FB, (q31_t)0xBCAF78C3, (q31_t)0x6CDECE2E,
+ (q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC5A0BE1,
+ (q31_t)0x6CA9CE3A, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C,
+ (q31_t)0xBC04C8BA, (q31_t)0x6C748B3F, (q31_t)0xBBDA36DC,
+ (q31_t)0x6C59D0A9, (q31_t)0xBBAFAF81, (q31_t)0x6C3F055D,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB5AC06C,
+ (q31_t)0x6C093CB6, (q31_t)0xBB3058C0, (q31_t)0x6BEE3F62,
+ (q31_t)0xBB05FBB0, (q31_t)0x6BD3316A, (q31_t)0xBADBA943,
+ (q31_t)0x6BB812D0, (q31_t)0xBAB1617F, (q31_t)0x6B9CE39B,
+ (q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA5CF210,
+ (q31_t)0x6B66536A, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278,
+ (q31_t)0xBA08AD94, (q31_t)0x6B2F80FA, (q31_t)0xB9DE9B83,
+ (q31_t)0x6B13FEF5, (q31_t)0xB9B49442, (q31_t)0x6AF86C6C,
+ (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB960A64B,
+ (q31_t)0x6AC115E1, (q31_t)0xB936BFA3, (q31_t)0x6AA551E8,
+ (q31_t)0xB90CE3E6, (q31_t)0x6A897D7D, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xB8B94D44, (q31_t)0x6A51A361,
+ (q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB865E299,
+ (q31_t)0x6A1987B0, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A,
+ (q31_t)0xB812A419, (q31_t)0x69E12A8C, (q31_t)0xB7E9157A,
+ (q31_t)0x69C4E37A, (q31_t)0xB7BF91F8, (q31_t)0x69A88C18,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB76CAC68,
+ (q31_t)0x696FAC78, (q31_t)0xB7434A67, (q31_t)0x69532442,
+ (q31_t)0xB719F39D, (q31_t)0x69368BCE, (q31_t)0xB6F0A811,
+ (q31_t)0x6919E320, (q31_t)0xB6C767CA, (q31_t)0x68FD2A3D,
+ (q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB6750921,
+ (q31_t)0x68C387E9, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+ (q31_t)0xB622D7D5, (q31_t)0x6889A4F5, (q31_t)0xB5F9D042,
+ (q31_t)0x686C9B4B, (q31_t)0xB5D0D41A, (q31_t)0x684F8186,
+ (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB57EFE21,
+ (q31_t)0x68151DBE, (q31_t)0xB556245E, (q31_t)0x67F7D3C4,
+ (q31_t)0xB52D561E, (q31_t)0x67DA79C2, (q31_t)0xB5049368,
+ (q31_t)0x67BD0FBC, (q31_t)0xB4DBDC42, (q31_t)0x679F95B7,
+ (q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB48A90C0,
+ (q31_t)0x676471C0, (q31_t)0xB461FC70, (q31_t)0x6746C7D7,
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+ (q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x80ACE9AB,
+ (q31_t)0x0D21DC87, (q31_t)0x80A7CB49, (q31_t)0x0CEFDB75,
+ (q31_t)0x80A2C08B, (q31_t)0x0CBDD865, (q31_t)0x809DC970,
+ (q31_t)0x0C8BD35E, (q31_t)0x8098E5FB, (q31_t)0x0C59CC67,
+ (q31_t)0x8094162B, (q31_t)0x0C27C389, (q31_t)0x808F5A02,
+ (q31_t)0x0BF5B8CB, (q31_t)0x808AB180, (q31_t)0x0BC3AC35,
+ (q31_t)0x80861CA5, (q31_t)0x0B919DCE, (q31_t)0x80819B74,
+ (q31_t)0x0B5F8D9F, (q31_t)0x807D2DEB, (q31_t)0x0B2D7BAE,
+ (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80748DD9,
+ (q31_t)0x0AC952AA, (q31_t)0x80705B50, (q31_t)0x0A973BA5,
+ (q31_t)0x806C3C73, (q31_t)0x0A6522FE, (q31_t)0x80683143,
+ (q31_t)0x0A3308BC, (q31_t)0x806439C0, (q31_t)0x0A00ECE8,
+ (q31_t)0x806055EA, (q31_t)0x09CECF89, (q31_t)0x805C85C3,
+ (q31_t)0x099CB0A7, (q31_t)0x8058C94C, (q31_t)0x096A9049,
+ (q31_t)0x80552083, (q31_t)0x09386E77, (q31_t)0x80518B6B,
+ (q31_t)0x09064B3A, (q31_t)0x804E0A03, (q31_t)0x08D42698,
+ (q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x80474248,
+ (q31_t)0x086FD947, (q31_t)0x8043FBF6, (q31_t)0x083DB0A7,
+ (q31_t)0x8040C956, (q31_t)0x080B86C1, (q31_t)0x803DAA69,
+ (q31_t)0x07D95B9E, (q31_t)0x803A9F31, (q31_t)0x07A72F45,
+ (q31_t)0x8037A7AC, (q31_t)0x077501BE, (q31_t)0x8034C3DC,
+ (q31_t)0x0742D310, (q31_t)0x8031F3C1, (q31_t)0x0710A344,
+ (q31_t)0x802F375C, (q31_t)0x06DE7261, (q31_t)0x802C8EAD,
+ (q31_t)0x06AC406F, (q31_t)0x8029F9B4, (q31_t)0x067A0D75,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80250AE7,
+ (q31_t)0x0615A48A, (q31_t)0x8022B113, (q31_t)0x05E36EA9,
+ (q31_t)0x80206AF8, (q31_t)0x05B137DF, (q31_t)0x801E3894,
+ (q31_t)0x057F0034, (q31_t)0x801C19E9, (q31_t)0x054CC7B0,
+ (q31_t)0x801A0EF7, (q31_t)0x051A8E5C, (q31_t)0x801817BF,
+ (q31_t)0x04E8543D, (q31_t)0x80163440, (q31_t)0x04B6195D,
+ (q31_t)0x8014647A, (q31_t)0x0483DDC3, (q31_t)0x8012A86F,
+ (q31_t)0x0451A176, (q31_t)0x8011001E, (q31_t)0x041F647F,
+ (q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x800DEAAC,
+ (q31_t)0x03BAE8B1, (q31_t)0x800C7D8C, (q31_t)0x0388A9E9,
+ (q31_t)0x800B2427, (q31_t)0x03566A96, (q31_t)0x8009DE7D,
+ (q31_t)0x03242ABF, (q31_t)0x8008AC90, (q31_t)0x02F1EA6B,
+ (q31_t)0x80078E5E, (q31_t)0x02BFA9A4, (q31_t)0x800683E8,
+ (q31_t)0x028D6870, (q31_t)0x80058D2E, (q31_t)0x025B26D7,
+ (q31_t)0x8004AA31, (q31_t)0x0228E4E1, (q31_t)0x8003DAF0,
+ (q31_t)0x01F6A296, (q31_t)0x80031F6C, (q31_t)0x01C45FFE,
+ (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x8001E39B,
+ (q31_t)0x015FDA03, (q31_t)0x8001634D, (q31_t)0x012D96B0,
+ (q31_t)0x8000F6BD, (q31_t)0x00FB532F, (q31_t)0x80009DE9,
+ (q31_t)0x00C90F88, (q31_t)0x800058D3, (q31_t)0x0096CBC1,
+ (q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x800009DE,
+ (q31_t)0x003243F5, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x800009DE, (q31_t)0xFFCDBC0A, (q31_t)0x8000277A,
+ (q31_t)0xFF9B781D, (q31_t)0x800058D3, (q31_t)0xFF69343E,
+ (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8000F6BD,
+ (q31_t)0xFF04ACD0, (q31_t)0x8001634D, (q31_t)0xFED2694F,
+ (q31_t)0x8001E39B, (q31_t)0xFEA025FC, (q31_t)0x800277A5,
+ (q31_t)0xFE6DE2E0, (q31_t)0x80031F6C, (q31_t)0xFE3BA001,
+ (q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x8004AA31,
+ (q31_t)0xFDD71B1E, (q31_t)0x80058D2E, (q31_t)0xFDA4D928,
+ (q31_t)0x800683E8, (q31_t)0xFD72978F, (q31_t)0x80078E5E,
+ (q31_t)0xFD40565B, (q31_t)0x8008AC90, (q31_t)0xFD0E1594,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800B2427,
+ (q31_t)0xFCA99569, (q31_t)0x800C7D8C, (q31_t)0xFC775616,
+ (q31_t)0x800DEAAC, (q31_t)0xFC45174E, (q31_t)0x800F6B88,
+ (q31_t)0xFC12D919, (q31_t)0x8011001E, (q31_t)0xFBE09B80,
+ (q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x8014647A,
+ (q31_t)0xFB7C223C, (q31_t)0x80163440, (q31_t)0xFB49E6A2,
+ (q31_t)0x801817BF, (q31_t)0xFB17ABC2, (q31_t)0x801A0EF7,
+ (q31_t)0xFAE571A4, (q31_t)0x801C19E9, (q31_t)0xFAB3384F,
+ (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80206AF8,
+ (q31_t)0xFA4EC820, (q31_t)0x8022B113, (q31_t)0xFA1C9156,
+ (q31_t)0x80250AE7, (q31_t)0xF9EA5B75, (q31_t)0x80277872,
+ (q31_t)0xF9B82683, (q31_t)0x8029F9B4, (q31_t)0xF985F28A,
+ (q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x802F375C,
+ (q31_t)0xF9218D9E, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB,
+ (q31_t)0x8034C3DC, (q31_t)0xF8BD2CEF, (q31_t)0x8037A7AC,
+ (q31_t)0xF88AFE41, (q31_t)0x803A9F31, (q31_t)0xF858D0BA,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8040C956,
+ (q31_t)0xF7F4793E, (q31_t)0x8043FBF6, (q31_t)0xF7C24F58,
+ (q31_t)0x80474248, (q31_t)0xF79026B8, (q31_t)0x804A9C4D,
+ (q31_t)0xF75DFF65, (q31_t)0x804E0A03, (q31_t)0xF72BD967,
+ (q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x80552083,
+ (q31_t)0xF6C79188, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+ (q31_t)0x805C85C3, (q31_t)0xF6634F58, (q31_t)0x806055EA,
+ (q31_t)0xF6313076, (q31_t)0x806439C0, (q31_t)0xF5FF1317,
+ (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x806C3C73,
+ (q31_t)0xF59ADD01, (q31_t)0x80705B50, (q31_t)0xF568C45A,
+ (q31_t)0x80748DD9, (q31_t)0xF536AD55, (q31_t)0x8078D40D,
+ (q31_t)0xF50497FA, (q31_t)0x807D2DEB, (q31_t)0xF4D28451,
+ (q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x80861CA5,
+ (q31_t)0xF46E6231, (q31_t)0x808AB180, (q31_t)0xF43C53CA,
+ (q31_t)0x808F5A02, (q31_t)0xF40A4734, (q31_t)0x8094162B,
+ (q31_t)0xF3D83C76, (q31_t)0x8098E5FB, (q31_t)0xF3A63398,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A2C08B,
+ (q31_t)0xF342279A, (q31_t)0x80A7CB49, (q31_t)0xF310248A,
+ (q31_t)0x80ACE9AB, (q31_t)0xF2DE2378, (q31_t)0x80B21BAF,
+ (q31_t)0xF2AC246D, (q31_t)0x80B76155, (q31_t)0xF27A2770,
+ (q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C22783,
+ (q31_t)0xF21633C0, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C,
+ (q31_t)0x80CD3C2F, (q31_t)0xF1B248A5, (q31_t)0x80D2E3F1,
+ (q31_t)0xF1805662, (q31_t)0x80D89F51, (q31_t)0xF14E665C,
+ (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80E450E2,
+ (q31_t)0xF0EA8D23, (q31_t)0x80EA4712, (q31_t)0xF0B8A401,
+ (q31_t)0x80F050DB, (q31_t)0xF086BD39, (q31_t)0x80F66E3C,
+ (q31_t)0xF054D8D4, (q31_t)0x80FC9F35, (q31_t)0xF022F6DA,
+ (q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x81093BE8,
+ (q31_t)0xEFBF3A44, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8,
+ (q31_t)0x811626EC, (q31_t)0xEF5B87B5, (q31_t)0x811CB9CA,
+ (q31_t)0xEF29B243, (q31_t)0x81236039, (q31_t)0xEEF7DF6A,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8130E7C8,
+ (q31_t)0xEE9441A0, (q31_t)0x8137C8E6, (q31_t)0xEE6276BF,
+ (q31_t)0x813EBD90, (q31_t)0xEE30AE95, (q31_t)0x8145C5C6,
+ (q31_t)0xEDFEE92B, (q31_t)0x814CE188, (q31_t)0xEDCD2687,
+ (q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x815B53A8,
+ (q31_t)0xED69A9B2, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+ (q31_t)0x816A13E6, (q31_t)0xED063855, (q31_t)0x8171914E,
+ (q31_t)0xECD48406, (q31_t)0x8179223A, (q31_t)0xECA2D2AC,
+ (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81887E9A,
+ (q31_t)0xEC3F78F5, (q31_t)0x81904A0C, (q31_t)0xEC0DD0A8,
+ (q31_t)0x819828FD, (q31_t)0xEBDC2B6D, (q31_t)0x81A01B6C,
+ (q31_t)0xEBAA894E, (q31_t)0x81A82159, (q31_t)0xEB78EA52,
+ (q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81B867A4,
+ (q31_t)0xEB15B5E0, (q31_t)0x81C0A801, (q31_t)0xEAE4207A,
+ (q31_t)0x81C8FBD5, (q31_t)0xEAB28E55, (q31_t)0x81D16320,
+ (q31_t)0xEA80FF79, (q31_t)0x81D9DDE1, (q31_t)0xEA4F73EE,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81EB0DBD,
+ (q31_t)0xE9EC66E8, (q31_t)0x81F3C2D7, (q31_t)0xE9BAE57C,
+ (q31_t)0x81FC8B60, (q31_t)0xE9896780, (q31_t)0x82056758,
+ (q31_t)0xE957ECFB, (q31_t)0x820E56BE, (q31_t)0xE92675F4,
+ (q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82206FCB,
+ (q31_t)0xE8C3927F, (q31_t)0x82299971, (q31_t)0xE8922621,
+ (q31_t)0x8232D67E, (q31_t)0xE860BD60, (q31_t)0x823C26F2,
+ (q31_t)0xE82F5844, (q31_t)0x82458ACB, (q31_t)0xE7FDF6D3,
+ (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82588CA6,
+ (q31_t)0xE79B3F16, (q31_t)0x82622AA5, (q31_t)0xE769E8D8,
+ (q31_t)0x826BDC04, (q31_t)0xE7389664, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x827F78D8, (q31_t)0xE6D5FCFC,
+ (q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x82936316,
+ (q31_t)0xE6737319, (q31_t)0x829D753A, (q31_t)0xE642340D,
+ (q31_t)0x82A79AB3, (q31_t)0xE610F8F9, (q31_t)0x82B1D381,
+ (q31_t)0xE5DFC1E4, (q31_t)0x82BC1FA1, (q31_t)0xE5AE8ED8,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82D0F1D5,
+ (q31_t)0xE54C34F3, (q31_t)0x82DB77E5, (q31_t)0xE51B0E2A,
+ (q31_t)0x82E61141, (q31_t)0xE4E9EB86, (q31_t)0x82F0BDE8,
+ (q31_t)0xE4B8CD10, (q31_t)0x82FB7DD8, (q31_t)0xE487B2CF,
+ (q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x8311378C,
+ (q31_t)0xE4258B0A, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+ (q31_t)0x83273E52, (q31_t)0xE3C37473, (q31_t)0x83325E97,
+ (q31_t)0xE3926FAC, (q31_t)0x833D921A, (q31_t)0xE3616F47,
+ (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835432D8,
+ (q31_t)0xE2FF7BC3, (q31_t)0x835FA00E, (q31_t)0xE2CE88B2,
+ (q31_t)0x836B207D, (q31_t)0xE29D9A22, (q31_t)0x8376B422,
+ (q31_t)0xE26CB01A, (q31_t)0x83825AFB, (q31_t)0xE23BCAA2,
+ (q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x8399E244,
+ (q31_t)0xE1DA0D7E, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1,
+ (q31_t)0x83B1B649, (q31_t)0xE17862F3, (q31_t)0x83BDBD0D,
+ (q31_t)0xE14794B9, (q31_t)0x83C9D6FB, (q31_t)0xE116CB3D,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83E2444D,
+ (q31_t)0xE0B54698, (q31_t)0x83EE97AC, (q31_t)0xE0848B7F,
+ (q31_t)0x83FAFE2E, (q31_t)0xE053D541, (q31_t)0x840777CF,
+ (q31_t)0xE02323E5, (q31_t)0x8414048F, (q31_t)0xDFF27773,
+ (q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x842D5761,
+ (q31_t)0xDF912D6A, (q31_t)0x843A1D70, (q31_t)0xDF608FE3,
+ (q31_t)0x8446F695, (q31_t)0xDF2FF764, (q31_t)0x8453E2CE,
+ (q31_t)0xDEFF63F4, (q31_t)0x8460E21A, (q31_t)0xDECED59B,
+ (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x847B19E1,
+ (q31_t)0xDE6DC84B, (q31_t)0x84885257, (q31_t)0xDE3D4963,
+ (q31_t)0x84959DD9, (q31_t)0xDE0CCFB1, (q31_t)0x84A2FC62,
+ (q31_t)0xDDDC5B3A, (q31_t)0x84B06DF1, (q31_t)0xDDABEC07,
+ (q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84CB8A1B,
+ (q31_t)0xDD4B1D8B, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51,
+ (q31_t)0x84E6F244, (q31_t)0xDCEA6478, (q31_t)0x84F4C2D3,
+ (q31_t)0xDCBA1008, (q31_t)0x8502A65C, (q31_t)0xDC89C108,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x851EA652,
+ (q31_t)0xDC293379, (q31_t)0x852CC2BA, (q31_t)0xDBF8F4F8,
+ (q31_t)0x853AF214, (q31_t)0xDBC8BC05, (q31_t)0x8549345C,
+ (q31_t)0xDB9888A8, (q31_t)0x85578991, (q31_t)0xDB685AE8,
+ (q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x85746CB7,
+ (q31_t)0xDB08105E, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x85919B75, (q31_t)0xDAA7DCA1, (q31_t)0x85A04F28,
+ (q31_t)0xDA77CB62, (q31_t)0x85AF15B9, (q31_t)0xDA47BFED,
+ (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85CCDB70,
+ (q31_t)0xD9E7BA7E, (q31_t)0x85DBDA91, (q31_t)0xD9B7C093,
+ (q31_t)0x85EAEC88, (q31_t)0xD987CC8F, (q31_t)0x85FA1152,
+ (q31_t)0xD957DE7A, (q31_t)0x860948EE, (q31_t)0xD927F65B,
+ (q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x8627F090,
+ (q31_t)0xD8C8381C, (q31_t)0x86376092, (q31_t)0xD898620C,
+ (q31_t)0x8646E35B, (q31_t)0xD868920F, (q31_t)0x865678EA,
+ (q31_t)0xD838C82D, (q31_t)0x8666213C, (q31_t)0xD809046D,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x8685AA1F,
+ (q31_t)0xD7A98F73, (q31_t)0x86958AAB, (q31_t)0xD779DE46,
+ (q31_t)0x86A57DF1, (q31_t)0xD74A335A, (q31_t)0x86B583EE,
+ (q31_t)0xD71A8EB5, (q31_t)0x86C59C9F, (q31_t)0xD6EAF05E,
+ (q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86E60614,
+ (q31_t)0xD68BC6BA, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B,
+ (q31_t)0x8706BA3C, (q31_t)0xD62CB6A7, (q31_t)0x8717304E,
+ (q31_t)0xD5FD3847, (q31_t)0x8727B904, (q31_t)0xD5CDC062,
+ (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x87490257,
+ (q31_t)0xD56EE424, (q31_t)0x8759C2EF, (q31_t)0xD53F7FDA,
+ (q31_t)0x876A9621, (q31_t)0xD5102227, (q31_t)0x877B7BEC,
+ (q31_t)0xD4E0CB14, (q31_t)0x878C744C, (q31_t)0xD4B17AA7,
+ (q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87AE9CC5,
+ (q31_t)0xD452EDDE, (q31_t)0x87BFCCD7, (q31_t)0xD423B190,
+ (q31_t)0x87D10F75, (q31_t)0xD3F47C06, (q31_t)0x87E2649B,
+ (q31_t)0xD3C54D46, (q31_t)0x87F3CC47, (q31_t)0xD3962559,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8816D327,
+ (q31_t)0xD337EA12, (q31_t)0x88287255, (q31_t)0xD308D6C6,
+ (q31_t)0x883A23FE, (q31_t)0xD2D9CA6A, (q31_t)0x884BE820,
+ (q31_t)0xD2AAC504, (q31_t)0x885DBEB7, (q31_t)0xD27BC69C,
+ (q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8881A33C,
+ (q31_t)0xD21DDEE1, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+ (q31_t)0x88A5D177, (q31_t)0xD1C01374, (q31_t)0x88B80431,
+ (q31_t)0xD191386D, (q31_t)0x88CA4951, (q31_t)0xD162648F,
+ (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x88EF0AB4,
+ (q31_t)0xD104D26B, (q31_t)0x890186F1, (q31_t)0xD0D61433,
+ (q31_t)0x89141589, (q31_t)0xD0A75D42, (q31_t)0x8926B677,
+ (q31_t)0xD078AD9D, (q31_t)0x893969B9, (q31_t)0xD04A054D,
+ (q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x895F072D,
+ (q31_t)0xCFECCAC7, (q31_t)0x8971F15A, (q31_t)0xCFBE389F,
+ (q31_t)0x8984EDCF, (q31_t)0xCF8FADE8, (q31_t)0x8997FC89,
+ (q31_t)0xCF612AAA, (q31_t)0x89AB1D86, (q31_t)0xCF32AEEB,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89D1963C,
+ (q31_t)0xCED5CE08, (q31_t)0x89E4EDEE, (q31_t)0xCEA768F2,
+ (q31_t)0x89F857D8, (q31_t)0xCE790B78, (q31_t)0x8A0BD3F5,
+ (q31_t)0xCE4AB5A2, (q31_t)0x8A1F6242, (q31_t)0xCE1C6776,
+ (q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A46B563,
+ (q31_t)0xCDBFE23A, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38,
+ (q31_t)0x8A6E5122, (q31_t)0xCD637BFD, (q31_t)0x8A823A35,
+ (q31_t)0xCD355490, (q31_t)0x8A963567, (q31_t)0xCD0734F8,
+ (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8ABE6219,
+ (q31_t)0xCCAB0D65, (q31_t)0x8AD29393, (q31_t)0xCC7D0577,
+ (q31_t)0x8AE6D71F, (q31_t)0xCC4F057B, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC210D78, (q31_t)0x8B0F9461, (q31_t)0xCBF31D75,
+ (q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B3899C5,
+ (q31_t)0xCB975589, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0,
+ (q31_t)0x8B61E732, (q31_t)0xCB3BADF2, (q31_t)0x8B76A8E4,
+ (q31_t)0xCB0DE658, (q31_t)0x8B8B7C8F, (q31_t)0xCAE026E8,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BB559C1,
+ (q31_t)0xCA84C0A2, (q31_t)0x8BCA6342, (q31_t)0xCA5719DB,
+ (q31_t)0x8BDF7EAF, (q31_t)0xCA297B5A, (q31_t)0x8BF4AC05,
+ (q31_t)0xC9FBE527, (q31_t)0x8C09EB40, (q31_t)0xC9CE5748,
+ (q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C349F58,
+ (q31_t)0xC97354A3, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+ (q31_t)0x8C5F9ADD, (q31_t)0xC91873A5, (q31_t)0x8C753361,
+ (q31_t)0xC8EB0FD6, (q31_t)0x8C8ADDB6, (q31_t)0xC8BDB485,
+ (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CB667C7,
+ (q31_t)0xC863177B, (q31_t)0x8CCC477D, (q31_t)0xC835D5D0,
+ (q31_t)0x8CE238F6, (q31_t)0xC8089CBF, (q31_t)0x8CF83C30,
+ (q31_t)0xC7DB6C50, (q31_t)0x8D0E5127, (q31_t)0xC7AE4489,
+ (q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D3AB03F,
+ (q31_t)0xC7540F10, (q31_t)0x8D50FA59, (q31_t)0xC727016C,
+ (q31_t)0x8D675623, (q31_t)0xC6F9FC8D, (q31_t)0x8D7DC399,
+ (q31_t)0xC6CD0079, (q31_t)0x8D9442B7, (q31_t)0xC6A00D36,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DC175E0,
+ (q31_t)0xC6464144, (q31_t)0x8DD829E4, (q31_t)0xC61968A2,
+ (q31_t)0x8DEEEF82, (q31_t)0xC5EC98ED, (q31_t)0x8E05C6B7,
+ (q31_t)0xC5BFD22E, (q31_t)0x8E1CAF80, (q31_t)0xC593146A,
+ (q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E4AB5BF,
+ (q31_t)0xC539B3F0, (q31_t)0x8E61D32D, (q31_t)0xC50D1148,
+ (q31_t)0x8E790222, (q31_t)0xC4E077B8, (q31_t)0x8E904298,
+ (q31_t)0xC4B3E746, (q31_t)0x8EA7948C, (q31_t)0xC4875FF8,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8ED66CE1,
+ (q31_t)0xC42E6CE8, (q31_t)0x8EEDF33B, (q31_t)0xC4020132,
+ (q31_t)0x8F058B04, (q31_t)0xC3D59EBD, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x8F34EED8, (q31_t)0xC37CF5B0,
+ (q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F64983F,
+ (q31_t)0xC32471F6, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A,
+ (q31_t)0x8F94871D, (q31_t)0xC2CC13C7, (q31_t)0x8FAC988E,
+ (q31_t)0xC29FF2D4, (q31_t)0x8FC4BB53, (q31_t)0xC273DB58,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x8FF534C4,
+ (q31_t)0xC21BC8E0, (q31_t)0x900D8B69, (q31_t)0xC1EFCDF2,
+ (q31_t)0x9025F352, (q31_t)0xC1C3DC96, (q31_t)0x903E6C7A,
+ (q31_t)0xC197F4D3, (q31_t)0x9056F6DF, (q31_t)0xC16C16B0,
+ (q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90883F4C,
+ (q31_t)0xC1147763, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+ (q31_t)0x90B9CC7C, (q31_t)0xC0BCFEE7, (q31_t)0x90D2ACD3,
+ (q31_t)0xC0915147, (q31_t)0x90EB9E50, (q31_t)0xC065AD70,
+ (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x911DB4A8,
+ (q31_t)0xC00E8335, (q31_t)0x9136D97D, (q31_t)0xBFE2FCDF,
+ (q31_t)0x91500F67, (q31_t)0xBFB7806C, (q31_t)0x91695663,
+ (q31_t)0xBF8C0DE2, (q31_t)0x9182AE6C, (q31_t)0xBF60A54A,
+ (q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91B5919A,
+ (q31_t)0xBF09F204, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765,
+ (q31_t)0x91E8B8D0, (q31_t)0xBEB366D1, (q31_t)0x920265E4,
+ (q31_t)0xBE88304F, (q31_t)0x921C23EE, (q31_t)0xBE5D03E5,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x924FD2D6,
+ (q31_t)0xBE06C977, (q31_t)0x9269C3AC, (q31_t)0xBDDBBB7F,
+ (q31_t)0x9283C567, (q31_t)0xBDB0B7BA, (q31_t)0x929DD805,
+ (q31_t)0xBD85BE2F, (q31_t)0x92B7FB82, (q31_t)0xBD5ACEE5,
+ (q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x92EC7505,
+ (q31_t)0xBD050F2C, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA,
+ (q31_t)0x932131D1, (q31_t)0xBCAF78C3, (q31_t)0x933BA968,
+ (q31_t)0xBC84BD1E, (q31_t)0x935631C5, (q31_t)0xBC5A0BE1,
+ (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x938B74C0,
+ (q31_t)0xBC04C8BA, (q31_t)0x93A62F56, (q31_t)0xBBDA36DC,
+ (q31_t)0x93C0FAA2, (q31_t)0xBBAFAF81, (q31_t)0x93DBD69F,
+ (q31_t)0xBB8532AF, (q31_t)0x93F6C34A, (q31_t)0xBB5AC06C,
+ (q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x942CCE95,
+ (q31_t)0xBB05FBB0, (q31_t)0x9447ED2F, (q31_t)0xBADBA943,
+ (q31_t)0x94631C64, (q31_t)0xBAB1617F, (q31_t)0x947E5C32,
+ (q31_t)0xBA87246C, (q31_t)0x9499AC95, (q31_t)0xBA5CF210,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94D07F05,
+ (q31_t)0xBA08AD94, (q31_t)0x94EC010B, (q31_t)0xB9DE9B83,
+ (q31_t)0x95079393, (q31_t)0xB9B49442, (q31_t)0x9523369B,
+ (q31_t)0xB98A97D8, (q31_t)0x953EEA1E, (q31_t)0xB960A64B,
+ (q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x95768282,
+ (q31_t)0xB90CE3E6, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x95AE5C9E, (q31_t)0xB8B94D44, (q31_t)0x95CA6246,
+ (q31_t)0xB88F926C, (q31_t)0x95E6784F, (q31_t)0xB865E299,
+ (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x961ED573,
+ (q31_t)0xB812A419, (q31_t)0x963B1C85, (q31_t)0xB7E9157A,
+ (q31_t)0x965773E7, (q31_t)0xB7BF91F8, (q31_t)0x9673DB94,
+ (q31_t)0xB796199B, (q31_t)0x96905387, (q31_t)0xB76CAC68,
+ (q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96C97431,
+ (q31_t)0xB719F39D, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811,
+ (q31_t)0x9702D5C2, (q31_t)0xB6C767CA, (q31_t)0x971F9ED6,
+ (q31_t)0xB69E32CD, (q31_t)0x973C7816, (q31_t)0xB6750921,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97765B0A,
+ (q31_t)0xB622D7D5, (q31_t)0x979364B5, (q31_t)0xB5F9D042,
+ (q31_t)0x97B07E7A, (q31_t)0xB5D0D41A, (q31_t)0x97CDA855,
+ (q31_t)0xB5A7E362, (q31_t)0x97EAE241, (q31_t)0xB57EFE21,
+ (q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9825863D,
+ (q31_t)0xB52D561E, (q31_t)0x9842F043, (q31_t)0xB5049368,
+ (q31_t)0x98606A48, (q31_t)0xB4DBDC42, (q31_t)0x987DF449,
+ (q31_t)0xB4B330B2, (q31_t)0x989B8E3F, (q31_t)0xB48A90C0,
+ (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98D6F1FE,
+ (q31_t)0xB43973C9, (q31_t)0x98F4BBBC, (q31_t)0xB410F6D2,
+ (q31_t)0x9912955E, (q31_t)0xB3E88591, (q31_t)0x99307EE0,
+ (q31_t)0xB3C0200C, (q31_t)0x994E783C, (q31_t)0xB397C649,
+ (q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x998A9A73,
+ (q31_t)0xB3473622, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB,
+ (q31_t)0x99C6FBDE, (q31_t)0xB2F6D54F, (q31_t)0x99E5443A,
+ (q31_t)0xB2CEB6B5, (q31_t)0x9A039C56, (q31_t)0xB2A6A401,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A407BB8,
+ (q31_t)0xB256A26A, (q31_t)0x9A5F02F5, (q31_t)0xB22EB392,
+ (q31_t)0x9A7D99DD, (q31_t)0xB206D0BA, (q31_t)0x9A9C406D,
+ (q31_t)0xB1DEF9E8, (q31_t)0x9ABAF6A0, (q31_t)0xB1B72F23,
+ (q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9AF891DB,
+ (q31_t)0xB167BDD6, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+ (q31_t)0x9B366B67, (q31_t)0xB1187D05, (q31_t)0x9B556F80,
+ (q31_t)0xB0F0EEDA, (q31_t)0x9B748320, (q31_t)0xB0C96CDF,
+ (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BB2D8DD,
+ (q31_t)0xB07A8D97, (q31_t)0x9BD21AF2, (q31_t)0xB0533055,
+ (q31_t)0x9BF16C7A, (q31_t)0xB02BDF5C, (q31_t)0x9C10CD70,
+ (q31_t)0xB0049AB2, (q31_t)0x9C303DCF, (q31_t)0xAFDD625F,
+ (q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C6F4CB5,
+ (q31_t)0xAF8F16D0, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1,
+ (q31_t)0x9CAE9907, (q31_t)0xAF40FCE0, (q31_t)0x9CCE562B,
+ (q31_t)0xAF1A0293, (q31_t)0x9CEE229C, (q31_t)0xAEF314BF,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D2DE94D,
+ (q31_t)0xAEA55E9D, (q31_t)0x9D4DE384, (q31_t)0xAE7E965B,
+ (q31_t)0x9D6DECF4, (q31_t)0xAE57DAAA, (q31_t)0x9D8E0596,
+ (q31_t)0xAE312B91, (q31_t)0x9DAE2D68, (q31_t)0xAE0A8916,
+ (q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9DEEAA82,
+ (q31_t)0xADBD6A10, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91,
+ (q31_t)0x9E2F641A, (q31_t)0xAD707DC8, (q31_t)0x9E4FD789,
+ (q31_t)0xAD4A1ABA, (q31_t)0x9E705A09, (q31_t)0xAD23C46D,
+ (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9EB18C26,
+ (q31_t)0xACD73E30, (q31_t)0x9ED23BB9, (q31_t)0xACB10E4A,
+ (q31_t)0x9EF2FA48, (q31_t)0xAC8AEB3E, (q31_t)0x9F13C7D0,
+ (q31_t)0xAC64D510, (q31_t)0x9F34A449, (q31_t)0xAC3ECBC7,
+ (q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F7689FF,
+ (q31_t)0xABF2DFFA, (q31_t)0x9F979331, (q31_t)0xABCCFD82,
+ (q31_t)0x9FB8AB41, (q31_t)0xABA72806, (q31_t)0x9FD9D22A,
+ (q31_t)0xAB815F8C, (q31_t)0x9FFB07E7, (q31_t)0xAB5BA41A,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA03D9FC7,
+ (q31_t)0xAB105464, (q31_t)0xA05F01E1, (q31_t)0xAAEAC02B,
+ (q31_t)0xA08072BA, (q31_t)0xAAC53912, (q31_t)0xA0A1F24C,
+ (q31_t)0xAA9FBF1D, (q31_t)0xA0C38094, (q31_t)0xAA7A5253,
+ (q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA106C92E,
+ (q31_t)0xAA2FA055, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+ (q31_t)0xA14A4C5E, (q31_t)0xA9E52347, (q31_t)0xA16C23E1,
+ (q31_t)0xA9BFF8A8, (q31_t)0xA18E09F9, (q31_t)0xA99ADB56,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1D201D7,
+ (q31_t)0xA950C8AF, (q31_t)0xA1F41391, (q31_t)0xA92BD366,
+ (q31_t)0xA21633CD, (q31_t)0xA906EB81, (q31_t)0xA2386283,
+ (q31_t)0xA8E21106, (q31_t)0xA25A9FB1, (q31_t)0xA8BD43FA,
+ (q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA29F4559,
+ (q31_t)0xA873D246, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9,
+ (q31_t)0xA2E4249A, (q31_t)0xA82A9693, (q31_t)0xA306A9C7,
+ (q31_t)0xA8060D08, (q31_t)0xA3293D4B, (q31_t)0xA7E1910E,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA36E8F40,
+ (q31_t)0xA798C1E4, (q31_t)0xA3914DA7, (q31_t)0xA7746EC0,
+ (q31_t)0xA3B41A4F, (q31_t)0xA7502943, (q31_t)0xA3D6F533,
+ (q31_t)0xA72BF173, (q31_t)0xA3F9DE4D, (q31_t)0xA707C756,
+ (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA43FDB0F,
+ (q31_t)0xA6BF9C4B, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68,
+ (q31_t)0xA4861069, (q31_t)0xA677A84E, (q31_t)0xA4A94042,
+ (q31_t)0xA653C302, (q31_t)0xA4CC7E31, (q31_t)0xA62FEB8B,
+ (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA513243B,
+ (q31_t)0xA5E8662F, (q31_t)0xA5368C4B, (q31_t)0xA5C4B855,
+ (q31_t)0xA55A025B, (q31_t)0xA5A11865, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xA5A11865, (q31_t)0xA55A025B,
+ (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA5E8662F,
+ (q31_t)0xA513243B, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31,
+ (q31_t)0xA62FEB8B, (q31_t)0xA4CC7E31, (q31_t)0xA653C302,
+ (q31_t)0xA4A94042, (q31_t)0xA677A84E, (q31_t)0xA4861069,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6BF9C4B,
+ (q31_t)0xA43FDB0F, (q31_t)0xA6E3AAF2, (q31_t)0xA41CD598,
+ (q31_t)0xA707C756, (q31_t)0xA3F9DE4D, (q31_t)0xA72BF173,
+ (q31_t)0xA3D6F533, (q31_t)0xA7502943, (q31_t)0xA3B41A4F,
+ (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA798C1E4,
+ (q31_t)0xA36E8F40, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+ (q31_t)0xA7E1910E, (q31_t)0xA3293D4B, (q31_t)0xA8060D08,
+ (q31_t)0xA306A9C7, (q31_t)0xA82A9693, (q31_t)0xA2E4249A,
+ (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA873D246,
+ (q31_t)0xA29F4559, (q31_t)0xA8988463, (q31_t)0xA27CEB4F,
+ (q31_t)0xA8BD43FA, (q31_t)0xA25A9FB1, (q31_t)0xA8E21106,
+ (q31_t)0xA2386283, (q31_t)0xA906EB81, (q31_t)0xA21633CD,
+ (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA950C8AF,
+ (q31_t)0xA1D201D7, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2,
+ (q31_t)0xA99ADB56, (q31_t)0xA18E09F9, (q31_t)0xA9BFF8A8,
+ (q31_t)0xA16C23E1, (q31_t)0xA9E52347, (q31_t)0xA14A4C5E,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA2FA055,
+ (q31_t)0xA106C92E, (q31_t)0xAA54F2B9, (q31_t)0xA0E51D8C,
+ (q31_t)0xAA7A5253, (q31_t)0xA0C38094, (q31_t)0xAA9FBF1D,
+ (q31_t)0xA0A1F24C, (q31_t)0xAAC53912, (q31_t)0xA08072BA,
+ (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB105464,
+ (q31_t)0xA03D9FC7, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72,
+ (q31_t)0xAB5BA41A, (q31_t)0x9FFB07E7, (q31_t)0xAB815F8C,
+ (q31_t)0x9FD9D22A, (q31_t)0xABA72806, (q31_t)0x9FB8AB41,
+ (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xABF2DFFA,
+ (q31_t)0x9F7689FF, (q31_t)0xAC18CF68, (q31_t)0x9F558FB0,
+ (q31_t)0xAC3ECBC7, (q31_t)0x9F34A449, (q31_t)0xAC64D510,
+ (q31_t)0x9F13C7D0, (q31_t)0xAC8AEB3E, (q31_t)0x9EF2FA48,
+ (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACD73E30,
+ (q31_t)0x9EB18C26, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94,
+ (q31_t)0xAD23C46D, (q31_t)0x9E705A09, (q31_t)0xAD4A1ABA,
+ (q31_t)0x9E4FD789, (q31_t)0xAD707DC8, (q31_t)0x9E2F641A,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADBD6A10,
+ (q31_t)0x9DEEAA82, (q31_t)0xADE3F33E, (q31_t)0x9DCE6462,
+ (q31_t)0xAE0A8916, (q31_t)0x9DAE2D68, (q31_t)0xAE312B91,
+ (q31_t)0x9D8E0596, (q31_t)0xAE57DAAA, (q31_t)0x9D6DECF4,
+ (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAEA55E9D,
+ (q31_t)0x9D2DE94D, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xAEF314BF, (q31_t)0x9CEE229C, (q31_t)0xAF1A0293,
+ (q31_t)0x9CCE562B, (q31_t)0xAF40FCE0, (q31_t)0x9CAE9907,
+ (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAF8F16D0,
+ (q31_t)0x9C6F4CB5, (q31_t)0xAFB63667, (q31_t)0x9C4FBD92,
+ (q31_t)0xAFDD625F, (q31_t)0x9C303DCF, (q31_t)0xB0049AB2,
+ (q31_t)0x9C10CD70, (q31_t)0xB02BDF5C, (q31_t)0x9BF16C7A,
+ (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB07A8D97,
+ (q31_t)0x9BB2D8DD, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640,
+ (q31_t)0xB0C96CDF, (q31_t)0x9B748320, (q31_t)0xB0F0EEDA,
+ (q31_t)0x9B556F80, (q31_t)0xB1187D05, (q31_t)0x9B366B67,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB167BDD6,
+ (q31_t)0x9AF891DB, (q31_t)0xB18F7070, (q31_t)0x9AD9BC71,
+ (q31_t)0xB1B72F23, (q31_t)0x9ABAF6A0, (q31_t)0xB1DEF9E8,
+ (q31_t)0x9A9C406D, (q31_t)0xB206D0BA, (q31_t)0x9A7D99DD,
+ (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB256A26A,
+ (q31_t)0x9A407BB8, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C,
+ (q31_t)0xB2A6A401, (q31_t)0x9A039C56, (q31_t)0xB2CEB6B5,
+ (q31_t)0x99E5443A, (q31_t)0xB2F6D54F, (q31_t)0x99C6FBDE,
+ (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3473622,
+ (q31_t)0x998A9A73, (q31_t)0xB36F784E, (q31_t)0x996C816F,
+ (q31_t)0xB397C649, (q31_t)0x994E783C, (q31_t)0xB3C0200C,
+ (q31_t)0x99307EE0, (q31_t)0xB3E88591, (q31_t)0x9912955E,
+ (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB43973C9,
+ (q31_t)0x98D6F1FE, (q31_t)0xB461FC70, (q31_t)0x98B93828,
+ (q31_t)0xB48A90C0, (q31_t)0x989B8E3F, (q31_t)0xB4B330B2,
+ (q31_t)0x987DF449, (q31_t)0xB4DBDC42, (q31_t)0x98606A48,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB52D561E,
+ (q31_t)0x9825863D, (q31_t)0xB556245E, (q31_t)0x98082C3B,
+ (q31_t)0xB57EFE21, (q31_t)0x97EAE241, (q31_t)0xB5A7E362,
+ (q31_t)0x97CDA855, (q31_t)0xB5D0D41A, (q31_t)0x97B07E7A,
+ (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB622D7D5,
+ (q31_t)0x97765B0A, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+ (q31_t)0xB6750921, (q31_t)0x973C7816, (q31_t)0xB69E32CD,
+ (q31_t)0x971F9ED6, (q31_t)0xB6C767CA, (q31_t)0x9702D5C2,
+ (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB719F39D,
+ (q31_t)0x96C97431, (q31_t)0xB7434A67, (q31_t)0x96ACDBBD,
+ (q31_t)0xB76CAC68, (q31_t)0x96905387, (q31_t)0xB796199B,
+ (q31_t)0x9673DB94, (q31_t)0xB7BF91F8, (q31_t)0x965773E7,
+ (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB812A419,
+ (q31_t)0x961ED573, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5,
+ (q31_t)0xB865E299, (q31_t)0x95E6784F, (q31_t)0xB88F926C,
+ (q31_t)0x95CA6246, (q31_t)0xB8B94D44, (q31_t)0x95AE5C9E,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB90CE3E6,
+ (q31_t)0x95768282, (q31_t)0xB936BFA3, (q31_t)0x955AAE17,
+ (q31_t)0xB960A64B, (q31_t)0x953EEA1E, (q31_t)0xB98A97D8,
+ (q31_t)0x9523369B, (q31_t)0xB9B49442, (q31_t)0x95079393,
+ (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA08AD94,
+ (q31_t)0x94D07F05, (q31_t)0xBA32CA70, (q31_t)0x94B50D87,
+ (q31_t)0xBA5CF210, (q31_t)0x9499AC95, (q31_t)0xBA87246C,
+ (q31_t)0x947E5C32, (q31_t)0xBAB1617F, (q31_t)0x94631C64,
+ (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB05FBB0,
+ (q31_t)0x942CCE95, (q31_t)0xBB3058C0, (q31_t)0x9411C09D,
+ (q31_t)0xBB5AC06C, (q31_t)0x93F6C34A, (q31_t)0xBB8532AF,
+ (q31_t)0x93DBD69F, (q31_t)0xBBAFAF81, (q31_t)0x93C0FAA2,
+ (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC04C8BA,
+ (q31_t)0x938B74C0, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4,
+ (q31_t)0xBC5A0BE1, (q31_t)0x935631C5, (q31_t)0xBC84BD1E,
+ (q31_t)0x933BA968, (q31_t)0xBCAF78C3, (q31_t)0x932131D1,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD050F2C,
+ (q31_t)0x92EC7505, (q31_t)0xBD2FE9E1, (q31_t)0x92D22FD8,
+ (q31_t)0xBD5ACEE5, (q31_t)0x92B7FB82, (q31_t)0xBD85BE2F,
+ (q31_t)0x929DD805, (q31_t)0xBDB0B7BA, (q31_t)0x9283C567,
+ (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE06C977,
+ (q31_t)0x924FD2D6, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+ (q31_t)0xBE5D03E5, (q31_t)0x921C23EE, (q31_t)0xBE88304F,
+ (q31_t)0x920265E4, (q31_t)0xBEB366D1, (q31_t)0x91E8B8D0,
+ (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF09F204,
+ (q31_t)0x91B5919A, (q31_t)0xBF3546A8, (q31_t)0x919C1780,
+ (q31_t)0xBF60A54A, (q31_t)0x9182AE6C, (q31_t)0xBF8C0DE2,
+ (q31_t)0x91695663, (q31_t)0xBFB7806C, (q31_t)0x91500F67,
+ (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC00E8335,
+ (q31_t)0x911DB4A8, (q31_t)0xC03A1368, (q31_t)0x9104A0ED,
+ (q31_t)0xC065AD70, (q31_t)0x90EB9E50, (q31_t)0xC0915147,
+ (q31_t)0x90D2ACD3, (q31_t)0xC0BCFEE7, (q31_t)0x90B9CC7C,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1147763,
+ (q31_t)0x90883F4C, (q31_t)0xC1404233, (q31_t)0x906F927B,
+ (q31_t)0xC16C16B0, (q31_t)0x9056F6DF, (q31_t)0xC197F4D3,
+ (q31_t)0x903E6C7A, (q31_t)0xC1C3DC96, (q31_t)0x9025F352,
+ (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC21BC8E0,
+ (q31_t)0x8FF534C4, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66,
+ (q31_t)0xC273DB58, (q31_t)0x8FC4BB53, (q31_t)0xC29FF2D4,
+ (q31_t)0x8FAC988E, (q31_t)0xC2CC13C7, (q31_t)0x8F94871D,
+ (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC32471F6,
+ (q31_t)0x8F64983F, (q31_t)0xC350AF25, (q31_t)0x8F4CBADB,
+ (q31_t)0xC37CF5B0, (q31_t)0x8F34EED8, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xC3D59EBD, (q31_t)0x8F058B04,
+ (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC42E6CE8,
+ (q31_t)0x8ED66CE1, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB,
+ (q31_t)0xC4875FF8, (q31_t)0x8EA7948C, (q31_t)0xC4B3E746,
+ (q31_t)0x8E904298, (q31_t)0xC4E077B8, (q31_t)0x8E790222,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC539B3F0,
+ (q31_t)0x8E4AB5BF, (q31_t)0xC5665FA8, (q31_t)0x8E33A9D9,
+ (q31_t)0xC593146A, (q31_t)0x8E1CAF80, (q31_t)0xC5BFD22E,
+ (q31_t)0x8E05C6B7, (q31_t)0xC5EC98ED, (q31_t)0x8DEEEF82,
+ (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC6464144,
+ (q31_t)0x8DC175E0, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+ (q31_t)0xC6A00D36, (q31_t)0x8D9442B7, (q31_t)0xC6CD0079,
+ (q31_t)0x8D7DC399, (q31_t)0xC6F9FC8D, (q31_t)0x8D675623,
+ (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7540F10,
+ (q31_t)0x8D3AB03F, (q31_t)0xC7812571, (q31_t)0x8D2477D8,
+ (q31_t)0xC7AE4489, (q31_t)0x8D0E5127, (q31_t)0xC7DB6C50,
+ (q31_t)0x8CF83C30, (q31_t)0xC8089CBF, (q31_t)0x8CE238F6,
+ (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC863177B,
+ (q31_t)0x8CB667C7, (q31_t)0xC89061BA, (q31_t)0x8CA099D9,
+ (q31_t)0xC8BDB485, (q31_t)0x8C8ADDB6, (q31_t)0xC8EB0FD6,
+ (q31_t)0x8C753361, (q31_t)0xC91873A5, (q31_t)0x8C5F9ADD,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC97354A3,
+ (q31_t)0x8C349F58, (q31_t)0xC9A0D1C4, (q31_t)0x8C1F3C5C,
+ (q31_t)0xC9CE5748, (q31_t)0x8C09EB40, (q31_t)0xC9FBE527,
+ (q31_t)0x8BF4AC05, (q31_t)0xCA297B5A, (q31_t)0x8BDF7EAF,
+ (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCA84C0A2,
+ (q31_t)0x8BB559C1, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F,
+ (q31_t)0xCAE026E8, (q31_t)0x8B8B7C8F, (q31_t)0xCB0DE658,
+ (q31_t)0x8B76A8E4, (q31_t)0xCB3BADF2, (q31_t)0x8B61E732,
+ (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCB975589,
+ (q31_t)0x8B3899C5, (q31_t)0xCBC53578, (q31_t)0x8B240E10,
+ (q31_t)0xCBF31D75, (q31_t)0x8B0F9461, (q31_t)0xCC210D78,
+ (q31_t)0x8AFB2CBA, (q31_t)0xCC4F057B, (q31_t)0x8AE6D71F,
+ (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCAB0D65,
+ (q31_t)0x8ABE6219, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4,
+ (q31_t)0xCD0734F8, (q31_t)0x8A963567, (q31_t)0xCD355490,
+ (q31_t)0x8A823A35, (q31_t)0xCD637BFD, (q31_t)0x8A6E5122,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDBFE23A,
+ (q31_t)0x8A46B563, (q31_t)0xCDEE20FC, (q31_t)0x8A3302BD,
+ (q31_t)0xCE1C6776, (q31_t)0x8A1F6242, (q31_t)0xCE4AB5A2,
+ (q31_t)0x8A0BD3F5, (q31_t)0xCE790B78, (q31_t)0x89F857D8,
+ (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCED5CE08,
+ (q31_t)0x89D1963C, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xCF32AEEB, (q31_t)0x89AB1D86, (q31_t)0xCF612AAA,
+ (q31_t)0x8997FC89, (q31_t)0xCF8FADE8, (q31_t)0x8984EDCF,
+ (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xCFECCAC7,
+ (q31_t)0x895F072D, (q31_t)0xD01B6459, (q31_t)0x894C2F4C,
+ (q31_t)0xD04A054D, (q31_t)0x893969B9, (q31_t)0xD078AD9D,
+ (q31_t)0x8926B677, (q31_t)0xD0A75D42, (q31_t)0x89141589,
+ (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD104D26B,
+ (q31_t)0x88EF0AB4, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3,
+ (q31_t)0xD162648F, (q31_t)0x88CA4951, (q31_t)0xD191386D,
+ (q31_t)0x88B80431, (q31_t)0xD1C01374, (q31_t)0x88A5D177,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD21DDEE1,
+ (q31_t)0x8881A33C, (q31_t)0xD24CCF38, (q31_t)0x886FA7C2,
+ (q31_t)0xD27BC69C, (q31_t)0x885DBEB7, (q31_t)0xD2AAC504,
+ (q31_t)0x884BE820, (q31_t)0xD2D9CA6A, (q31_t)0x883A23FE,
+ (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD337EA12,
+ (q31_t)0x8816D327, (q31_t)0xD3670445, (q31_t)0x88054677,
+ (q31_t)0xD3962559, (q31_t)0x87F3CC47, (q31_t)0xD3C54D46,
+ (q31_t)0x87E2649B, (q31_t)0xD3F47C06, (q31_t)0x87D10F75,
+ (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD452EDDE,
+ (q31_t)0x87AE9CC5, (q31_t)0xD48230E8, (q31_t)0x879D7F40,
+ (q31_t)0xD4B17AA7, (q31_t)0x878C744C, (q31_t)0xD4E0CB14,
+ (q31_t)0x877B7BEC, (q31_t)0xD5102227, (q31_t)0x876A9621,
+ (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD56EE424,
+ (q31_t)0x87490257, (q31_t)0xD59E4EFE, (q31_t)0x8738545E,
+ (q31_t)0xD5CDC062, (q31_t)0x8727B904, (q31_t)0xD5FD3847,
+ (q31_t)0x8717304E, (q31_t)0xD62CB6A7, (q31_t)0x8706BA3C,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD68BC6BA,
+ (q31_t)0x86E60614, (q31_t)0xD6BB585D, (q31_t)0x86D5C802,
+ (q31_t)0xD6EAF05E, (q31_t)0x86C59C9F, (q31_t)0xD71A8EB5,
+ (q31_t)0x86B583EE, (q31_t)0xD74A335A, (q31_t)0x86A57DF1,
+ (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7A98F73,
+ (q31_t)0x8685AA1F, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+ (q31_t)0xD809046D, (q31_t)0x8666213C, (q31_t)0xD838C82D,
+ (q31_t)0x865678EA, (q31_t)0xD868920F, (q31_t)0x8646E35B,
+ (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8C8381C,
+ (q31_t)0x8627F090, (q31_t)0xD8F81439, (q31_t)0x86189359,
+ (q31_t)0xD927F65B, (q31_t)0x860948EE, (q31_t)0xD957DE7A,
+ (q31_t)0x85FA1152, (q31_t)0xD987CC8F, (q31_t)0x85EAEC88,
+ (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xD9E7BA7E,
+ (q31_t)0x85CCDB70, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27,
+ (q31_t)0xDA47BFED, (q31_t)0x85AF15B9, (q31_t)0xDA77CB62,
+ (q31_t)0x85A04F28, (q31_t)0xDAA7DCA1, (q31_t)0x85919B75,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB08105E,
+ (q31_t)0x85746CB7, (q31_t)0xDB3832CD, (q31_t)0x8565F1B0,
+ (q31_t)0xDB685AE8, (q31_t)0x85578991, (q31_t)0xDB9888A8,
+ (q31_t)0x8549345C, (q31_t)0xDBC8BC05, (q31_t)0x853AF214,
+ (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC293379,
+ (q31_t)0x851EA652, (q31_t)0xDC597781, (q31_t)0x85109CDC,
+ (q31_t)0xDC89C108, (q31_t)0x8502A65C, (q31_t)0xDCBA1008,
+ (q31_t)0x84F4C2D3, (q31_t)0xDCEA6478, (q31_t)0x84E6F244,
+ (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD4B1D8B,
+ (q31_t)0x84CB8A1B, (q31_t)0xDD7B8220, (q31_t)0x84BDF285,
+ (q31_t)0xDDABEC07, (q31_t)0x84B06DF1, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84A2FC62, (q31_t)0xDE0CCFB1, (q31_t)0x84959DD9,
+ (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE6DC84B,
+ (q31_t)0x847B19E1, (q31_t)0xDE9E4C60, (q31_t)0x846DF476,
+ (q31_t)0xDECED59B, (q31_t)0x8460E21A, (q31_t)0xDEFF63F4,
+ (q31_t)0x8453E2CE, (q31_t)0xDF2FF764, (q31_t)0x8446F695,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDF912D6A,
+ (q31_t)0x842D5761, (q31_t)0xDFC1CFF2, (q31_t)0x8420A46B,
+ (q31_t)0xDFF27773, (q31_t)0x8414048F, (q31_t)0xE02323E5,
+ (q31_t)0x840777CF, (q31_t)0xE053D541, (q31_t)0x83FAFE2E,
+ (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0B54698,
+ (q31_t)0x83E2444D, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+ (q31_t)0xE116CB3D, (q31_t)0x83C9D6FB, (q31_t)0xE14794B9,
+ (q31_t)0x83BDBD0D, (q31_t)0xE17862F3, (q31_t)0x83B1B649,
+ (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE1DA0D7E,
+ (q31_t)0x8399E244, (q31_t)0xE20AE9C1, (q31_t)0x838E1507,
+ (q31_t)0xE23BCAA2, (q31_t)0x83825AFB, (q31_t)0xE26CB01A,
+ (q31_t)0x8376B422, (q31_t)0xE29D9A22, (q31_t)0x836B207D,
+ (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE2FF7BC3,
+ (q31_t)0x835432D8, (q31_t)0xE330734C, (q31_t)0x8348D8DB,
+ (q31_t)0xE3616F47, (q31_t)0x833D921A, (q31_t)0xE3926FAC,
+ (q31_t)0x83325E97, (q31_t)0xE3C37473, (q31_t)0x83273E52,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4258B0A,
+ (q31_t)0x8311378C, (q31_t)0xE4569CCB, (q31_t)0x8306510F,
+ (q31_t)0xE487B2CF, (q31_t)0x82FB7DD8, (q31_t)0xE4B8CD10,
+ (q31_t)0x82F0BDE8, (q31_t)0xE4E9EB86, (q31_t)0x82E61141,
+ (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE54C34F3,
+ (q31_t)0x82D0F1D5, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13,
+ (q31_t)0xE5AE8ED8, (q31_t)0x82BC1FA1, (q31_t)0xE5DFC1E4,
+ (q31_t)0x82B1D381, (q31_t)0xE610F8F9, (q31_t)0x82A79AB3,
+ (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6737319,
+ (q31_t)0x82936316, (q31_t)0xE6A4B616, (q31_t)0x8289644A,
+ (q31_t)0xE6D5FCFC, (q31_t)0x827F78D8, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xE7389664, (q31_t)0x826BDC04,
+ (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE79B3F16,
+ (q31_t)0x82588CA6, (q31_t)0xE7CC9917, (q31_t)0x824F0208,
+ (q31_t)0xE7FDF6D3, (q31_t)0x82458ACB, (q31_t)0xE82F5844,
+ (q31_t)0x823C26F2, (q31_t)0xE860BD60, (q31_t)0x8232D67E,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8C3927F,
+ (q31_t)0x82206FCB, (q31_t)0xE8F50273, (q31_t)0x8217598F,
+ (q31_t)0xE92675F4, (q31_t)0x820E56BE, (q31_t)0xE957ECFB,
+ (q31_t)0x82056758, (q31_t)0xE9896780, (q31_t)0x81FC8B60,
+ (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xE9EC66E8,
+ (q31_t)0x81EB0DBD, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+ (q31_t)0xEA4F73EE, (q31_t)0x81D9DDE1, (q31_t)0xEA80FF79,
+ (q31_t)0x81D16320, (q31_t)0xEAB28E55, (q31_t)0x81C8FBD5,
+ (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB15B5E0,
+ (q31_t)0x81B867A4, (q31_t)0xEB474E80, (q31_t)0x81B03AC1,
+ (q31_t)0xEB78EA52, (q31_t)0x81A82159, (q31_t)0xEBAA894E,
+ (q31_t)0x81A01B6C, (q31_t)0xEBDC2B6D, (q31_t)0x819828FD,
+ (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC3F78F5,
+ (q31_t)0x81887E9A, (q31_t)0xEC71244F, (q31_t)0x8180C6A9,
+ (q31_t)0xECA2D2AC, (q31_t)0x8179223A, (q31_t)0xECD48406,
+ (q31_t)0x8171914E, (q31_t)0xED063855, (q31_t)0x816A13E6,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED69A9B2,
+ (q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3,
+ (q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B,
+ (q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90,
+ (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0,
+ (q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39,
+ (q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243,
+ (q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC,
+ (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44,
+ (q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3,
+ (q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4,
+ (q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB,
+ (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23,
+ (q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C,
+ (q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662,
+ (q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0,
+ (q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C,
+ (q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D,
+ (q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB,
+ (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A,
+ (q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+ (q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76,
+ (q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02,
+ (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231,
+ (q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74,
+ (q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA,
+ (q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9,
+ (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01,
+ (q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143,
+ (q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076,
+ (q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188,
+ (q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B,
+ (q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65,
+ (q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248,
+ (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E,
+ (q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69,
+ (q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41,
+ (q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E,
+ (q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD,
+ (q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683,
+ (q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7,
+ (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820,
+ (q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894,
+ (q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4,
+ (q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C,
+ (q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F,
+ (q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919,
+ (q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC,
+ (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569,
+ (q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D,
+ (q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B,
+ (q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8,
+ (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E,
+ (q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0,
+ (q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0,
+ (q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B,
+ (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0,
+ (q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9,
+ (q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D,
+ (q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+ @brief q15 Twiddle factors Table
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
+
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ fori = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_16_q15[24] = {
+ (q15_t)0x7FFF, (q15_t)0x0000,
+ (q15_t)0x7641, (q15_t)0x30FB,
+ (q15_t)0x5A82, (q15_t)0x5A82,
+ (q15_t)0x30FB, (q15_t)0x7641,
+ (q15_t)0x0000, (q15_t)0x7FFF,
+ (q15_t)0xCF04, (q15_t)0x7641,
+ (q15_t)0xA57D, (q15_t)0x5A82,
+ (q15_t)0x89BE, (q15_t)0x30FB,
+ (q15_t)0x8000, (q15_t)0x0000,
+ (q15_t)0x89BE, (q15_t)0xCF04,
+ (q15_t)0xA57D, (q15_t)0xA57D,
+ (q15_t)0xCF04, (q15_t)0x89BE
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_32_q15[48] = {
+ (q15_t)0x7FFF, (q15_t)0x0000,
+ (q15_t)0x7D8A, (q15_t)0x18F8,
+ (q15_t)0x7641, (q15_t)0x30FB,
+ (q15_t)0x6A6D, (q15_t)0x471C,
+ (q15_t)0x5A82, (q15_t)0x5A82,
+ (q15_t)0x471C, (q15_t)0x6A6D,
+ (q15_t)0x30FB, (q15_t)0x7641,
+ (q15_t)0x18F8, (q15_t)0x7D8A,
+ (q15_t)0x0000, (q15_t)0x7FFF,
+ (q15_t)0xE707, (q15_t)0x7D8A,
+ (q15_t)0xCF04, (q15_t)0x7641,
+ (q15_t)0xB8E3, (q15_t)0x6A6D,
+ (q15_t)0xA57D, (q15_t)0x5A82,
+ (q15_t)0x9592, (q15_t)0x471C,
+ (q15_t)0x89BE, (q15_t)0x30FB,
+ (q15_t)0x8275, (q15_t)0x18F8,
+ (q15_t)0x8000, (q15_t)0x0000,
+ (q15_t)0x8275, (q15_t)0xE707,
+ (q15_t)0x89BE, (q15_t)0xCF04,
+ (q15_t)0x9592, (q15_t)0xB8E3,
+ (q15_t)0xA57D, (q15_t)0xA57D,
+ (q15_t)0xB8E3, (q15_t)0x9592,
+ (q15_t)0xCF04, (q15_t)0x89BE,
+ (q15_t)0xE707, (q15_t)0x8275
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_64_q15[96] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_128_q15[192] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_256_q15[384] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826,
+ (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE,
+ (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17,
+ (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4,
+ (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B,
+ (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4,
+ (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8,
+ (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24,
+ (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_512_q15[768] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82,
+ (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F,
+ (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8,
+ (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3,
+ (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98,
+ (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E,
+ (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D,
+ (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824,
+ (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8,
+ (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073,
+ (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325,
+ (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869,
+ (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB,
+ (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81,
+ (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269,
+ (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA,
+ (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D,
+ (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D,
+ (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7,
+ (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3,
+ (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF,
+ (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD,
+ (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD,
+ (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A,
+ (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9,
+ (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96,
+ (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E,
+ (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F,
+ (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9,
+ (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909,
+ (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF,
+ (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+
+ */
+const q15_t twiddleCoef_1024_q15[1536] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9,
+ (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED,
+ (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710,
+ (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33,
+ (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53,
+ (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072,
+ (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E,
+ (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8,
+ (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD,
+ (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47,
+ (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF,
+ (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC,
+ (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161,
+ (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5,
+ (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8,
+ (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767,
+ (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5,
+ (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61,
+ (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC,
+ (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55,
+ (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC,
+ (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5,
+ (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326,
+ (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496,
+ (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604,
+ (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F,
+ (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8,
+ (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40,
+ (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07,
+ (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68,
+ (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5,
+ (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121,
+ (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A,
+ (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0,
+ (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524,
+ (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3,
+ (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F,
+ (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58,
+ (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E,
+ (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1,
+ (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21,
+ (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E,
+ (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE,
+ (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302,
+ (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433,
+ (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560,
+ (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A,
+ (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0,
+ (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4,
+ (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10,
+ (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29,
+ (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E,
+ (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50,
+ (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E,
+ (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068,
+ (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F,
+ (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371,
+ (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C,
+ (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563,
+ (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657,
+ (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746,
+ (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832,
+ (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919,
+ (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC,
+ (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8,
+ (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F,
+ (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62,
+ (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30,
+ (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB,
+ (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1,
+ (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141,
+ (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA,
+ (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF,
+ (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x3604, (q15_t)0x740B,
+ (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x3496, (q15_t)0x74B2,
+ (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3326, (q15_t)0x7555,
+ (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x31B5, (q15_t)0x75F4,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x3041, (q15_t)0x768E,
+ (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2ECC, (q15_t)0x7723,
+ (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2D55, (q15_t)0x77B4,
+ (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2BDC, (q15_t)0x7840,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2A61, (q15_t)0x78C7,
+ (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x28E5, (q15_t)0x794A,
+ (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x2767, (q15_t)0x79C8,
+ (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x25E8, (q15_t)0x7A42,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2467, (q15_t)0x7AB6,
+ (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x22E5, (q15_t)0x7B26,
+ (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x2161, (q15_t)0x7B92,
+ (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x1FDC, (q15_t)0x7BF8,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1E56, (q15_t)0x7C5A,
+ (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1CCF, (q15_t)0x7CB7,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1B47, (q15_t)0x7D0F,
+ (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x19BD, (q15_t)0x7D62,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1833, (q15_t)0x7DB0,
+ (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x16A8, (q15_t)0x7DFA,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x151B, (q15_t)0x7E3F,
+ (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x138E, (q15_t)0x7E7F,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1201, (q15_t)0x7EBA,
+ (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1072, (q15_t)0x7EF0,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0EE3, (q15_t)0x7F21,
+ (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0D53, (q15_t)0x7F4D,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0BC3, (q15_t)0x7F75,
+ (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A33, (q15_t)0x7F97,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x08A2, (q15_t)0x7FB5,
+ (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0710, (q15_t)0x7FCE,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x057F, (q15_t)0x7FE1,
+ (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x03ED, (q15_t)0x7FF0,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x025B, (q15_t)0x7FFA,
+ (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x00C9, (q15_t)0x7FFF,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF36, (q15_t)0x7FFF,
+ (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFDA4, (q15_t)0x7FFA,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC12, (q15_t)0x7FF0,
+ (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFA80, (q15_t)0x7FE1,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF8EF, (q15_t)0x7FCE,
+ (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF75D, (q15_t)0x7FB5,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF5CC, (q15_t)0x7F97,
+ (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF43C, (q15_t)0x7F75,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF2AC, (q15_t)0x7F4D,
+ (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF11C, (q15_t)0x7F21,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEF8D, (q15_t)0x7EF0,
+ (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEDFE, (q15_t)0x7EBA,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEC71, (q15_t)0x7E7F,
+ (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEAE4, (q15_t)0x7E3F,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE957, (q15_t)0x7DFA,
+ (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE7CC, (q15_t)0x7DB0,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE642, (q15_t)0x7D62,
+ (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE4B8, (q15_t)0x7D0F,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE330, (q15_t)0x7CB7,
+ (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE1A9, (q15_t)0x7C5A,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE023, (q15_t)0x7BF8,
+ (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDE9E, (q15_t)0x7B92,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD1A, (q15_t)0x7B26,
+ (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDB98, (q15_t)0x7AB6,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA17, (q15_t)0x7A42,
+ (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD898, (q15_t)0x79C8,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD71A, (q15_t)0x794A,
+ (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD59E, (q15_t)0x78C7,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD423, (q15_t)0x7840,
+ (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD2AA, (q15_t)0x77B4,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD133, (q15_t)0x7723,
+ (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xCFBE, (q15_t)0x768E,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCE4A, (q15_t)0x75F4,
+ (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCCD9, (q15_t)0x7555,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCB69, (q15_t)0x74B2,
+ (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xC9FB, (q15_t)0x740B,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC890, (q15_t)0x735F,
+ (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC727, (q15_t)0x72AF,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC5BF, (q15_t)0x71FA,
+ (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC45A, (q15_t)0x7141,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC2F8, (q15_t)0x7083,
+ (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC197, (q15_t)0x6FC1,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC03A, (q15_t)0x6EFB,
+ (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBEDE, (q15_t)0x6E30,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBD85, (q15_t)0x6D62,
+ (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC2F, (q15_t)0x6C8F,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBADB, (q15_t)0x6BB8,
+ (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB98A, (q15_t)0x6ADC,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB83C, (q15_t)0x69FD,
+ (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB6F0, (q15_t)0x6919,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5A7, (q15_t)0x6832,
+ (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB461, (q15_t)0x6746,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB31E, (q15_t)0x6657,
+ (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB1DE, (q15_t)0x6563,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0A1, (q15_t)0x646C,
+ (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAF68, (q15_t)0x6371,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE31, (q15_t)0x6271,
+ (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xACFD, (q15_t)0x616F,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xABCC, (q15_t)0x6068,
+ (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAA9F, (q15_t)0x5F5E,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA975, (q15_t)0x5E50,
+ (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA84F, (q15_t)0x5D3E,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA72B, (q15_t)0x5C29,
+ (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA60C, (q15_t)0x5B10,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA4EF, (q15_t)0x59F3,
+ (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA3D6, (q15_t)0x58D4,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA2C1, (q15_t)0x57B0,
+ (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1AF, (q15_t)0x568A,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0A1, (q15_t)0x5560,
+ (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9F97, (q15_t)0x5433,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E90, (q15_t)0x5302,
+ (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9D8E, (q15_t)0x51CE,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C8E, (q15_t)0x5097,
+ (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9B93, (q15_t)0x4F5E,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A9C, (q15_t)0x4E21,
+ (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99A8, (q15_t)0x4CE1,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98B9, (q15_t)0x4B9E,
+ (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x97CD, (q15_t)0x4A58,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x96E6, (q15_t)0x490F,
+ (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9602, (q15_t)0x47C3,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9523, (q15_t)0x4675,
+ (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9447, (q15_t)0x4524,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9370, (q15_t)0x43D0,
+ (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x929D, (q15_t)0x427A,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x91CF, (q15_t)0x4121,
+ (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9104, (q15_t)0x3FC5,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x903E, (q15_t)0x3E68,
+ (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8F7C, (q15_t)0x3D07,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EBE, (q15_t)0x3BA5,
+ (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E05, (q15_t)0x3A40,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D50, (q15_t)0x38D8,
+ (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CA0, (q15_t)0x376F,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BF4, (q15_t)0x3604,
+ (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B4D, (q15_t)0x3496,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AAA, (q15_t)0x3326,
+ (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A0B, (q15_t)0x31B5,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8971, (q15_t)0x3041,
+ (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x88DC, (q15_t)0x2ECC,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x884B, (q15_t)0x2D55,
+ (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87BF, (q15_t)0x2BDC,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8738, (q15_t)0x2A61,
+ (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86B5, (q15_t)0x28E5,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8637, (q15_t)0x2767,
+ (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85BD, (q15_t)0x25E8,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8549, (q15_t)0x2467,
+ (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84D9, (q15_t)0x22E5,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x846D, (q15_t)0x2161,
+ (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8407, (q15_t)0x1FDC,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83A5, (q15_t)0x1E56,
+ (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x8348, (q15_t)0x1CCF,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82F0, (q15_t)0x1B47,
+ (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x829D, (q15_t)0x19BD,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x824F, (q15_t)0x1833,
+ (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8205, (q15_t)0x16A8,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81C0, (q15_t)0x151B,
+ (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8180, (q15_t)0x138E,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8145, (q15_t)0x1201,
+ (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x810F, (q15_t)0x1072,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80DE, (q15_t)0x0EE3,
+ (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80B2, (q15_t)0x0D53,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x808A, (q15_t)0x0BC3,
+ (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8068, (q15_t)0x0A33,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x804A, (q15_t)0x08A2,
+ (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8031, (q15_t)0x0710,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x801E, (q15_t)0x057F,
+ (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x800F, (q15_t)0x03ED,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8005, (q15_t)0x025B,
+ (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8000, (q15_t)0x00C9,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF36,
+ (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8005, (q15_t)0xFDA4,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800F, (q15_t)0xFC12,
+ (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801E, (q15_t)0xFA80,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8031, (q15_t)0xF8EF,
+ (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x804A, (q15_t)0xF75D,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8068, (q15_t)0xF5CC,
+ (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x808A, (q15_t)0xF43C,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80B2, (q15_t)0xF2AC,
+ (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80DE, (q15_t)0xF11C,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x810F, (q15_t)0xEF8D,
+ (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8145, (q15_t)0xEDFE,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8180, (q15_t)0xEC71,
+ (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81C0, (q15_t)0xEAE4,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8205, (q15_t)0xE957,
+ (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x824F, (q15_t)0xE7CC,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x829D, (q15_t)0xE642,
+ (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82F0, (q15_t)0xE4B8,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8348, (q15_t)0xE330,
+ (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x83A5, (q15_t)0xE1A9,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x8407, (q15_t)0xE023,
+ (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x846D, (q15_t)0xDE9E,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84D9, (q15_t)0xDD1A,
+ (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x8549, (q15_t)0xDB98,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85BD, (q15_t)0xDA17,
+ (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8637, (q15_t)0xD898,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86B5, (q15_t)0xD71A,
+ (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8738, (q15_t)0xD59E,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x87BF, (q15_t)0xD423,
+ (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x884B, (q15_t)0xD2AA,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88DC, (q15_t)0xD133,
+ (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8971, (q15_t)0xCFBE,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A0B, (q15_t)0xCE4A,
+ (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8AAA, (q15_t)0xCCD9,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B4D, (q15_t)0xCB69,
+ (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BF4, (q15_t)0xC9FB,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CA0, (q15_t)0xC890,
+ (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D50, (q15_t)0xC727,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E05, (q15_t)0xC5BF,
+ (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8EBE, (q15_t)0xC45A,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F7C, (q15_t)0xC2F8,
+ (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x903E, (q15_t)0xC197,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9104, (q15_t)0xC03A,
+ (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x91CF, (q15_t)0xBEDE,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x929D, (q15_t)0xBD85,
+ (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9370, (q15_t)0xBC2F,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9447, (q15_t)0xBADB,
+ (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x9523, (q15_t)0xB98A,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9602, (q15_t)0xB83C,
+ (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96E6, (q15_t)0xB6F0,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x97CD, (q15_t)0xB5A7,
+ (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x98B9, (q15_t)0xB461,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x99A8, (q15_t)0xB31E,
+ (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A9C, (q15_t)0xB1DE,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B93, (q15_t)0xB0A1,
+ (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C8E, (q15_t)0xAF68,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D8E, (q15_t)0xAE31,
+ (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E90, (q15_t)0xACFD,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F97, (q15_t)0xABCC,
+ (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA0A1, (q15_t)0xAA9F,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975,
+ (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B,
+ (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF,
+ (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1,
+ (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1,
+ (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90,
+ (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E,
+ (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C,
+ (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9,
+ (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6,
+ (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523,
+ (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370,
+ (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF,
+ (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E,
+ (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE,
+ (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50,
+ (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4,
+ (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA,
+ (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971,
+ (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B,
+ (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738,
+ (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637,
+ (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549,
+ (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D,
+ (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5,
+ (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0,
+ (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F,
+ (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0,
+ (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145,
+ (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE,
+ (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A,
+ (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A,
+ (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E,
+ (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005,
+ (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_2048_q15[3072] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064,
+ (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D,
+ (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6,
+ (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388,
+ (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451,
+ (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A,
+ (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC,
+ (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775,
+ (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D,
+ (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE,
+ (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97,
+ (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F,
+ (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF,
+ (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7,
+ (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F,
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+ (q15_t)0x3A40, (q15_t)0x71FA, (q15_t)0x39E6, (q15_t)0x7227,
+ (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3932, (q15_t)0x7282,
+ (q15_t)0x38D8, (q15_t)0x72AF, (q15_t)0x387E, (q15_t)0x72DB,
+ (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x37CA, (q15_t)0x7333,
+ (q15_t)0x376F, (q15_t)0x735F, (q15_t)0x3714, (q15_t)0x738A,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x365F, (q15_t)0x73E0,
+ (q15_t)0x3604, (q15_t)0x740B, (q15_t)0x35A8, (q15_t)0x7435,
+ (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x34F2, (q15_t)0x7489,
+ (q15_t)0x3496, (q15_t)0x74B2, (q15_t)0x343A, (q15_t)0x74DB,
+ (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3382, (q15_t)0x752D,
+ (q15_t)0x3326, (q15_t)0x7555, (q15_t)0x32CA, (q15_t)0x757D,
+ (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x3211, (q15_t)0x75CC,
+ (q15_t)0x31B5, (q15_t)0x75F4, (q15_t)0x3158, (q15_t)0x761B,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x309E, (q15_t)0x7668,
+ (q15_t)0x3041, (q15_t)0x768E, (q15_t)0x2FE4, (q15_t)0x76B3,
+ (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2F29, (q15_t)0x76FE,
+ (q15_t)0x2ECC, (q15_t)0x7723, (q15_t)0x2E6E, (q15_t)0x7747,
+ (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2DB3, (q15_t)0x7790,
+ (q15_t)0x2D55, (q15_t)0x77B4, (q15_t)0x2CF7, (q15_t)0x77D7,
+ (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2C3A, (q15_t)0x781D,
+ (q15_t)0x2BDC, (q15_t)0x7840, (q15_t)0x2B7D, (q15_t)0x7862,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2AC0, (q15_t)0x78A6,
+ (q15_t)0x2A61, (q15_t)0x78C7, (q15_t)0x2A02, (q15_t)0x78E8,
+ (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x2944, (q15_t)0x792A,
+ (q15_t)0x28E5, (q15_t)0x794A, (q15_t)0x2886, (q15_t)0x796A,
+ (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x27C7, (q15_t)0x79A9,
+ (q15_t)0x2767, (q15_t)0x79C8, (q15_t)0x2707, (q15_t)0x79E7,
+ (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x2648, (q15_t)0x7A24,
+ (q15_t)0x25E8, (q15_t)0x7A42, (q15_t)0x2588, (q15_t)0x7A5F,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x24C7, (q15_t)0x7A9A,
+ (q15_t)0x2467, (q15_t)0x7AB6, (q15_t)0x2407, (q15_t)0x7AD3,
+ (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x2345, (q15_t)0x7B0B,
+ (q15_t)0x22E5, (q15_t)0x7B26, (q15_t)0x2284, (q15_t)0x7B42,
+ (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x21C2, (q15_t)0x7B77,
+ (q15_t)0x2161, (q15_t)0x7B92, (q15_t)0x2100, (q15_t)0x7BAC,
+ (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x203E, (q15_t)0x7BDF,
+ (q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1F7B, (q15_t)0x7C11,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EB8, (q15_t)0x7C42,
+ (q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1DF5, (q15_t)0x7C71,
+ (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D31, (q15_t)0x7CA0,
+ (q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C6D, (q15_t)0x7CCD,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BA9, (q15_t)0x7CF9,
+ (q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1AE4, (q15_t)0x7D24,
+ (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A20, (q15_t)0x7D4E,
+ (q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x195B, (q15_t)0x7D76,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1896, (q15_t)0x7D9D,
+ (q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x17D0, (q15_t)0x7DC3,
+ (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x170A, (q15_t)0x7DE8,
+ (q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1645, (q15_t)0x7E0C,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x157F, (q15_t)0x7E2E,
+ (q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14B8, (q15_t)0x7E4F,
+ (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x13F2, (q15_t)0x7E6F,
+ (q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x132B, (q15_t)0x7E8E,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1264, (q15_t)0x7EAB,
+ (q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x119D, (q15_t)0x7EC8,
+ (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x10D6, (q15_t)0x7EE3,
+ (q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x100E, (q15_t)0x7EFD,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F47, (q15_t)0x7F15,
+ (q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0E7F, (q15_t)0x7F2D,
+ (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DB7, (q15_t)0x7F43,
+ (q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0CEF, (q15_t)0x7F58,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C27, (q15_t)0x7F6B,
+ (q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B5F, (q15_t)0x7F7E,
+ (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A97, (q15_t)0x7F8F,
+ (q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x09CE, (q15_t)0x7F9F,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0906, (q15_t)0x7FAE,
+ (q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x083D, (q15_t)0x7FBC,
+ (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0775, (q15_t)0x7FC8,
+ (q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06AC, (q15_t)0x7FD3,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x05E3, (q15_t)0x7FDD,
+ (q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x051A, (q15_t)0x7FE5,
+ (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0451, (q15_t)0x7FED,
+ (q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x0388, (q15_t)0x7FF3,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02BF, (q15_t)0x7FF8,
+ (q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x01F6, (q15_t)0x7FFC,
+ (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x012D, (q15_t)0x7FFE,
+ (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF9B, (q15_t)0x7FFF,
+ (q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFED2, (q15_t)0x7FFE,
+ (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE09, (q15_t)0x7FFC,
+ (q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD40, (q15_t)0x7FF8,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC77, (q15_t)0x7FF3,
+ (q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBAE, (q15_t)0x7FED,
+ (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFAE5, (q15_t)0x7FE5,
+ (q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA1C, (q15_t)0x7FDD,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF953, (q15_t)0x7FD3,
+ (q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF88A, (q15_t)0x7FC8,
+ (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7C2, (q15_t)0x7FBC,
+ (q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF6F9, (q15_t)0x7FAE,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF631, (q15_t)0x7F9F,
+ (q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF568, (q15_t)0x7F8F,
+ (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4A0, (q15_t)0x7F7E,
+ (q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF3D8, (q15_t)0x7F6B,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF310, (q15_t)0x7F58,
+ (q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF248, (q15_t)0x7F43,
+ (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF180, (q15_t)0x7F2D,
+ (q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0B8, (q15_t)0x7F15,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEFF1, (q15_t)0x7EFD,
+ (q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF29, (q15_t)0x7EE3,
+ (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE62, (q15_t)0x7EC8,
+ (q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xED9B, (q15_t)0x7EAB,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xECD4, (q15_t)0x7E8E,
+ (q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC0D, (q15_t)0x7E6F,
+ (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB47, (q15_t)0x7E4F,
+ (q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEA80, (q15_t)0x7E2E,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9BA, (q15_t)0x7E0C,
+ (q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE8F5, (q15_t)0x7DE8,
+ (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE82F, (q15_t)0x7DC3,
+ (q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE769, (q15_t)0x7D9D,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6A4, (q15_t)0x7D76,
+ (q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE5DF, (q15_t)0x7D4E,
+ (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE51B, (q15_t)0x7D24,
+ (q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE456, (q15_t)0x7CF9,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE392, (q15_t)0x7CCD,
+ (q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2CE, (q15_t)0x7CA0,
+ (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE20A, (q15_t)0x7C71,
+ (q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE147, (q15_t)0x7C42,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE084, (q15_t)0x7C11,
+ (q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFC1, (q15_t)0x7BDF,
+ (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDEFF, (q15_t)0x7BAC,
+ (q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE3D, (q15_t)0x7B77,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD7B, (q15_t)0x7B42,
+ (q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCBA, (q15_t)0x7B0B,
+ (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDBF8, (q15_t)0x7AD3,
+ (q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB38, (q15_t)0x7A9A,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA77, (q15_t)0x7A5F,
+ (q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9B7, (q15_t)0x7A24,
+ (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD8F8, (q15_t)0x79E7,
+ (q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD838, (q15_t)0x79A9,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD779, (q15_t)0x796A,
+ (q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6BB, (q15_t)0x792A,
+ (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD5FD, (q15_t)0x78E8,
+ (q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD53F, (q15_t)0x78A6,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD482, (q15_t)0x7862,
+ (q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3C5, (q15_t)0x781D,
+ (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD308, (q15_t)0x77D7,
+ (q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD24C, (q15_t)0x7790,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD191, (q15_t)0x7747,
+ (q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD0D6, (q15_t)0x76FE,
+ (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD01B, (q15_t)0x76B3,
+ (q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF61, (q15_t)0x7668,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCEA7, (q15_t)0x761B,
+ (q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCDEE, (q15_t)0x75CC,
+ (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD35, (q15_t)0x757D,
+ (q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCC7D, (q15_t)0x752D,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBC5, (q15_t)0x74DB,
+ (q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB0D, (q15_t)0x7489,
+ (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA57, (q15_t)0x7435,
+ (q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9A0, (q15_t)0x73E0,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC8EB, (q15_t)0x738A,
+ (q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC835, (q15_t)0x7333,
+ (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC781, (q15_t)0x72DB,
+ (q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6CD, (q15_t)0x7282,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC619, (q15_t)0x7227,
+ (q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC566, (q15_t)0x71CC,
+ (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4B3, (q15_t)0x716F,
+ (q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC402, (q15_t)0x7112,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC350, (q15_t)0x70B3,
+ (q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC29F, (q15_t)0x7053,
+ (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC1EF, (q15_t)0x6FF2,
+ (q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC140, (q15_t)0x6F90,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC091, (q15_t)0x6F2D,
+ (q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xBFE2, (q15_t)0x6EC9,
+ (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF35, (q15_t)0x6E63,
+ (q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBE88, (q15_t)0x6DFD,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBDDB, (q15_t)0x6D96,
+ (q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD2F, (q15_t)0x6D2D,
+ (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC84, (q15_t)0x6CC4,
+ (q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBBDA, (q15_t)0x6C59,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB30, (q15_t)0x6BEE,
+ (q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBA87, (q15_t)0x6B81,
+ (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB9DE, (q15_t)0x6B13,
+ (q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB936, (q15_t)0x6AA5,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB88F, (q15_t)0x6A35,
+ (q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB7E9, (q15_t)0x69C4,
+ (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB743, (q15_t)0x6953,
+ (q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB69E, (q15_t)0x68E0,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5F9, (q15_t)0x686C,
+ (q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB556, (q15_t)0x67F7,
+ (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4B3, (q15_t)0x6782,
+ (q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB410, (q15_t)0x670B,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB36F, (q15_t)0x6693,
+ (q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2CE, (q15_t)0x661A,
+ (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB22E, (q15_t)0x65A0,
+ (q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB18F, (q15_t)0x6526,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0F0, (q15_t)0x64AA,
+ (q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB053, (q15_t)0x642D,
+ (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFB6, (q15_t)0x63B0,
+ (q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF1A, (q15_t)0x6331,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE7E, (q15_t)0x62B2,
+ (q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xADE3, (q15_t)0x6231,
+ (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD4A, (q15_t)0x61B0,
+ (q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACB1, (q15_t)0x612D,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC18, (q15_t)0x60AA,
+ (q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xAB81, (q15_t)0x6026,
+ (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAAEA, (q15_t)0x5FA0,
+ (q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA54, (q15_t)0x5F1A,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9BF, (q15_t)0x5E93,
+ (q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA92B, (q15_t)0x5E0B,
+ (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA898, (q15_t)0x5D83,
+ (q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA806, (q15_t)0x5CF9,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA774, (q15_t)0x5C6E,
+ (q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA6E3, (q15_t)0x5BE3,
+ (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA653, (q15_t)0x5B56,
+ (q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5C4, (q15_t)0x5AC9,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA536, (q15_t)0x5A3B,
+ (q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4A9, (q15_t)0x59AC,
+ (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA41C, (q15_t)0x591C,
+ (q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA391, (q15_t)0x588B,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA306, (q15_t)0x57F9,
+ (q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA27C, (q15_t)0x5767,
+ (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1F4, (q15_t)0x56D4,
+ (q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA16C, (q15_t)0x5640,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0E5, (q15_t)0x55AB,
+ (q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA05F, (q15_t)0x5515,
+ (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FD9, (q15_t)0x547E,
+ (q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F55, (q15_t)0x53E7,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9ED2, (q15_t)0x534E,
+ (q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E4F, (q15_t)0x52B5,
+ (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DCE, (q15_t)0x521C,
+ (q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D4D, (q15_t)0x5181,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CCE, (q15_t)0x50E5,
+ (q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C4F, (q15_t)0x5049,
+ (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BD2, (q15_t)0x4FAC,
+ (q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B55, (q15_t)0x4F0F,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AD9, (q15_t)0x4E70,
+ (q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A5F, (q15_t)0x4DD1,
+ (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99E5, (q15_t)0x4D31,
+ (q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x996C, (q15_t)0x4C90,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98F4, (q15_t)0x4BEF,
+ (q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x987D, (q15_t)0x4B4C,
+ (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9808, (q15_t)0x4AA9,
+ (q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x9793, (q15_t)0x4A06,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x971F, (q15_t)0x4961,
+ (q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96AC, (q15_t)0x48BC,
+ (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x963B, (q15_t)0x4816,
+ (q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95CA, (q15_t)0x4770,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x955A, (q15_t)0x46C9,
+ (q15_t)0x9523, (q15_t)0x4675, (q15_t)0x94EC, (q15_t)0x4621,
+ (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x947E, (q15_t)0x4578,
+ (q15_t)0x9447, (q15_t)0x4524, (q15_t)0x9411, (q15_t)0x44CF,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93A6, (q15_t)0x4425,
+ (q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x933B, (q15_t)0x437B,
+ (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92D2, (q15_t)0x42D0,
+ (q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9269, (q15_t)0x4224,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9202, (q15_t)0x4177,
+ (q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x919C, (q15_t)0x40CA,
+ (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9136, (q15_t)0x401D,
+ (q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90D2, (q15_t)0x3F6E,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x906F, (q15_t)0x3EBF,
+ (q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x900D, (q15_t)0x3E10,
+ (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FAC, (q15_t)0x3D60,
+ (q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F4C, (q15_t)0x3CAF,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EED, (q15_t)0x3BFD,
+ (q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8E90, (q15_t)0x3B4C,
+ (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E33, (q15_t)0x3A99,
+ (q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DD8, (q15_t)0x39E6,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D7D, (q15_t)0x3932,
+ (q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D24, (q15_t)0x387E,
+ (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CCC, (q15_t)0x37CA,
+ (q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C75, (q15_t)0x3714,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C1F, (q15_t)0x365F,
+ (q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BCA, (q15_t)0x35A8,
+ (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B76, (q15_t)0x34F2,
+ (q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B24, (q15_t)0x343A,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AD2, (q15_t)0x3382,
+ (q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A82, (q15_t)0x32CA,
+ (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A33, (q15_t)0x3211,
+ (q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89E4, (q15_t)0x3158,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8997, (q15_t)0x309E,
+ (q15_t)0x8971, (q15_t)0x3041, (q15_t)0x894C, (q15_t)0x2FE4,
+ (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8901, (q15_t)0x2F29,
+ (q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88B8, (q15_t)0x2E6E,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x886F, (q15_t)0x2DB3,
+ (q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x8828, (q15_t)0x2CF7,
+ (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87E2, (q15_t)0x2C3A,
+ (q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x879D, (q15_t)0x2B7D,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8759, (q15_t)0x2AC0,
+ (q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8717, (q15_t)0x2A02,
+ (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86D5, (q15_t)0x2944,
+ (q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x8695, (q15_t)0x2886,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8656, (q15_t)0x27C7,
+ (q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8618, (q15_t)0x2707,
+ (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85DB, (q15_t)0x2648,
+ (q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85A0, (q15_t)0x2588,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8565, (q15_t)0x24C7,
+ (q15_t)0x8549, (q15_t)0x2467, (q15_t)0x852C, (q15_t)0x2407,
+ (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84F4, (q15_t)0x2345,
+ (q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84BD, (q15_t)0x2284,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8488, (q15_t)0x21C2,
+ (q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8453, (q15_t)0x2100,
+ (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8420, (q15_t)0x203E,
+ (q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83EE, (q15_t)0x1F7B,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83BD, (q15_t)0x1EB8,
+ (q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x838E, (q15_t)0x1DF5,
+ (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x835F, (q15_t)0x1D31,
+ (q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x8332, (q15_t)0x1C6D,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8306, (q15_t)0x1BA9,
+ (q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82DB, (q15_t)0x1AE4,
+ (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82B1, (q15_t)0x1A20,
+ (q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8289, (q15_t)0x195B,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8262, (q15_t)0x1896,
+ (q15_t)0x824F, (q15_t)0x1833, (q15_t)0x823C, (q15_t)0x17D0,
+ (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8217, (q15_t)0x170A,
+ (q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81F3, (q15_t)0x1645,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D1, (q15_t)0x157F,
+ (q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B0, (q15_t)0x14B8,
+ (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8190, (q15_t)0x13F2,
+ (q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8171, (q15_t)0x132B,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8154, (q15_t)0x1264,
+ (q15_t)0x8145, (q15_t)0x1201, (q15_t)0x8137, (q15_t)0x119D,
+ (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x811C, (q15_t)0x10D6,
+ (q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8102, (q15_t)0x100E,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80EA, (q15_t)0x0F47,
+ (q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D2, (q15_t)0x0E7F,
+ (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80BC, (q15_t)0x0DB7,
+ (q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80A7, (q15_t)0x0CEF,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8094, (q15_t)0x0C27,
+ (q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8081, (q15_t)0x0B5F,
+ (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8070, (q15_t)0x0A97,
+ (q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8060, (q15_t)0x09CE,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8051, (q15_t)0x0906,
+ (q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8043, (q15_t)0x083D,
+ (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8037, (q15_t)0x0775,
+ (q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802C, (q15_t)0x06AC,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8022, (q15_t)0x05E3,
+ (q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801A, (q15_t)0x051A,
+ (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8012, (q15_t)0x0451,
+ (q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800C, (q15_t)0x0388,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8007, (q15_t)0x02BF,
+ (q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8003, (q15_t)0x01F6,
+ (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x012D,
+ (q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0064,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF9B,
+ (q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8001, (q15_t)0xFED2,
+ (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE09,
+ (q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8007, (q15_t)0xFD40,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800C, (q15_t)0xFC77,
+ (q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8012, (q15_t)0xFBAE,
+ (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801A, (q15_t)0xFAE5,
+ (q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8022, (q15_t)0xFA1C,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x802C, (q15_t)0xF953,
+ (q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8037, (q15_t)0xF88A,
+ (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8043, (q15_t)0xF7C2,
+ (q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x8051, (q15_t)0xF6F9,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8060, (q15_t)0xF631,
+ (q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x8070, (q15_t)0xF568,
+ (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x8081, (q15_t)0xF4A0,
+ (q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x8094, (q15_t)0xF3D8,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A7, (q15_t)0xF310,
+ (q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80BC, (q15_t)0xF248,
+ (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80D2, (q15_t)0xF180,
+ (q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80EA, (q15_t)0xF0B8,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x8102, (q15_t)0xEFF1,
+ (q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x811C, (q15_t)0xEF29,
+ (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8137, (q15_t)0xEE62,
+ (q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x8154, (q15_t)0xED9B,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8171, (q15_t)0xECD4,
+ (q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8190, (q15_t)0xEC0D,
+ (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81B0, (q15_t)0xEB47,
+ (q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81D1, (q15_t)0xEA80,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81F3, (q15_t)0xE9BA,
+ (q15_t)0x8205, (q15_t)0xE957, (q15_t)0x8217, (q15_t)0xE8F5,
+ (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x823C, (q15_t)0xE82F,
+ (q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8262, (q15_t)0xE769,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8289, (q15_t)0xE6A4,
+ (q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82B1, (q15_t)0xE5DF,
+ (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82DB, (q15_t)0xE51B,
+ (q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x8306, (q15_t)0xE456,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8332, (q15_t)0xE392,
+ (q15_t)0x8348, (q15_t)0xE330, (q15_t)0x835F, (q15_t)0xE2CE,
+ (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x838E, (q15_t)0xE20A,
+ (q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83BD, (q15_t)0xE147,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83EE, (q15_t)0xE084,
+ (q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8420, (q15_t)0xDFC1,
+ (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8453, (q15_t)0xDEFF,
+ (q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x8488, (q15_t)0xDE3D,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84BD, (q15_t)0xDD7B,
+ (q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84F4, (q15_t)0xDCBA,
+ (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x852C, (q15_t)0xDBF8,
+ (q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8565, (q15_t)0xDB38,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85A0, (q15_t)0xDA77,
+ (q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85DB, (q15_t)0xD9B7,
+ (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8618, (q15_t)0xD8F8,
+ (q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8656, (q15_t)0xD838,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8695, (q15_t)0xD779,
+ (q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86D5, (q15_t)0xD6BB,
+ (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8717, (q15_t)0xD5FD,
+ (q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8759, (q15_t)0xD53F,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x879D, (q15_t)0xD482,
+ (q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87E2, (q15_t)0xD3C5,
+ (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8828, (q15_t)0xD308,
+ (q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x886F, (q15_t)0xD24C,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88B8, (q15_t)0xD191,
+ (q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x8901, (q15_t)0xD0D6,
+ (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x894C, (q15_t)0xD01B,
+ (q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8997, (q15_t)0xCF61,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89E4, (q15_t)0xCEA7,
+ (q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A33, (q15_t)0xCDEE,
+ (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A82, (q15_t)0xCD35,
+ (q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8AD2, (q15_t)0xCC7D,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B24, (q15_t)0xCBC5,
+ (q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B76, (q15_t)0xCB0D,
+ (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BCA, (q15_t)0xCA57,
+ (q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C1F, (q15_t)0xC9A0,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C75, (q15_t)0xC8EB,
+ (q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CCC, (q15_t)0xC835,
+ (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D24, (q15_t)0xC781,
+ (q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D7D, (q15_t)0xC6CD,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DD8, (q15_t)0xC619,
+ (q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E33, (q15_t)0xC566,
+ (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E90, (q15_t)0xC4B3,
+ (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8EED, (q15_t)0xC402,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F4C, (q15_t)0xC350,
+ (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8FAC, (q15_t)0xC29F,
+ (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x900D, (q15_t)0xC1EF,
+ (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x906F, (q15_t)0xC140,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90D2, (q15_t)0xC091,
+ (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x9136, (q15_t)0xBFE2,
+ (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x919C, (q15_t)0xBF35,
+ (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x9202, (q15_t)0xBE88,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9269, (q15_t)0xBDDB,
+ (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92D2, (q15_t)0xBD2F,
+ (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x933B, (q15_t)0xBC84,
+ (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x93A6, (q15_t)0xBBDA,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9411, (q15_t)0xBB30,
+ (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x947E, (q15_t)0xBA87,
+ (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94EC, (q15_t)0xB9DE,
+ (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x955A, (q15_t)0xB936,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95CA, (q15_t)0xB88F,
+ (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x963B, (q15_t)0xB7E9,
+ (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96AC, (q15_t)0xB743,
+ (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x971F, (q15_t)0xB69E,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9793, (q15_t)0xB5F9,
+ (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x9808, (q15_t)0xB556,
+ (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x987D, (q15_t)0xB4B3,
+ (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98F4, (q15_t)0xB410,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x996C, (q15_t)0xB36F,
+ (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99E5, (q15_t)0xB2CE,
+ (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A5F, (q15_t)0xB22E,
+ (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9AD9, (q15_t)0xB18F,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B55, (q15_t)0xB0F0,
+ (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BD2, (q15_t)0xB053,
+ (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C4F, (q15_t)0xAFB6,
+ (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CCE, (q15_t)0xAF1A,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D4D, (q15_t)0xAE7E,
+ (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DCE, (q15_t)0xADE3,
+ (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E4F, (q15_t)0xAD4A,
+ (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9ED2, (q15_t)0xACB1,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F55, (q15_t)0xAC18,
+ (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FD9, (q15_t)0xAB81,
+ (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA05F, (q15_t)0xAAEA,
+ (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0E5, (q15_t)0xAA54,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA16C, (q15_t)0xA9BF,
+ (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1F4, (q15_t)0xA92B,
+ (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA27C, (q15_t)0xA898,
+ (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA306, (q15_t)0xA806,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA391, (q15_t)0xA774,
+ (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA41C, (q15_t)0xA6E3,
+ (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4A9, (q15_t)0xA653,
+ (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA536, (q15_t)0xA5C4,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5C4, (q15_t)0xA536,
+ (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA653, (q15_t)0xA4A9,
+ (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6E3, (q15_t)0xA41C,
+ (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA774, (q15_t)0xA391,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA806, (q15_t)0xA306,
+ (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA898, (q15_t)0xA27C,
+ (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA92B, (q15_t)0xA1F4,
+ (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA9BF, (q15_t)0xA16C,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA54, (q15_t)0xA0E5,
+ (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAEA, (q15_t)0xA05F,
+ (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB81, (q15_t)0x9FD9,
+ (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xAC18, (q15_t)0x9F55,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACB1, (q15_t)0x9ED2,
+ (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD4A, (q15_t)0x9E4F,
+ (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADE3, (q15_t)0x9DCE,
+ (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE7E, (q15_t)0x9D4D,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF1A, (q15_t)0x9CCE,
+ (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAFB6, (q15_t)0x9C4F,
+ (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB053, (q15_t)0x9BD2,
+ (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0F0, (q15_t)0x9B55,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB18F, (q15_t)0x9AD9,
+ (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB22E, (q15_t)0x9A5F,
+ (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2CE, (q15_t)0x99E5,
+ (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB36F, (q15_t)0x996C,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB410, (q15_t)0x98F4,
+ (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB4B3, (q15_t)0x987D,
+ (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB556, (q15_t)0x9808,
+ (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5F9, (q15_t)0x9793,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB69E, (q15_t)0x971F,
+ (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB743, (q15_t)0x96AC,
+ (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7E9, (q15_t)0x963B,
+ (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB88F, (q15_t)0x95CA,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB936, (q15_t)0x955A,
+ (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9DE, (q15_t)0x94EC,
+ (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA87, (q15_t)0x947E,
+ (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB30, (q15_t)0x9411,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBDA, (q15_t)0x93A6,
+ (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC84, (q15_t)0x933B,
+ (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD2F, (q15_t)0x92D2,
+ (q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDDB, (q15_t)0x9269,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE88, (q15_t)0x9202,
+ (q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF35, (q15_t)0x919C,
+ (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFE2, (q15_t)0x9136,
+ (q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC091, (q15_t)0x90D2,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC140, (q15_t)0x906F,
+ (q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1EF, (q15_t)0x900D,
+ (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC29F, (q15_t)0x8FAC,
+ (q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC350, (q15_t)0x8F4C,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC402, (q15_t)0x8EED,
+ (q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC4B3, (q15_t)0x8E90,
+ (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC566, (q15_t)0x8E33,
+ (q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC619, (q15_t)0x8DD8,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6CD, (q15_t)0x8D7D,
+ (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC781, (q15_t)0x8D24,
+ (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC835, (q15_t)0x8CCC,
+ (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8EB, (q15_t)0x8C75,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9A0, (q15_t)0x8C1F,
+ (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA57, (q15_t)0x8BCA,
+ (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB0D, (q15_t)0x8B76,
+ (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCBC5, (q15_t)0x8B24,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC7D, (q15_t)0x8AD2,
+ (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD35, (q15_t)0x8A82,
+ (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDEE, (q15_t)0x8A33,
+ (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCEA7, (q15_t)0x89E4,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF61, (q15_t)0x8997,
+ (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xD01B, (q15_t)0x894C,
+ (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0D6, (q15_t)0x8901,
+ (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD191, (q15_t)0x88B8,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD24C, (q15_t)0x886F,
+ (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD308, (q15_t)0x8828,
+ (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD3C5, (q15_t)0x87E2,
+ (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD482, (q15_t)0x879D,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD53F, (q15_t)0x8759,
+ (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5FD, (q15_t)0x8717,
+ (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD6BB, (q15_t)0x86D5,
+ (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD779, (q15_t)0x8695,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD838, (q15_t)0x8656,
+ (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8F8, (q15_t)0x8618,
+ (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD9B7, (q15_t)0x85DB,
+ (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA77, (q15_t)0x85A0,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB38, (q15_t)0x8565,
+ (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBF8, (q15_t)0x852C,
+ (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDCBA, (q15_t)0x84F4,
+ (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD7B, (q15_t)0x84BD,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE3D, (q15_t)0x8488,
+ (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDEFF, (q15_t)0x8453,
+ (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDFC1, (q15_t)0x8420,
+ (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE084, (q15_t)0x83EE,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE147, (q15_t)0x83BD,
+ (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE20A, (q15_t)0x838E,
+ (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE2CE, (q15_t)0x835F,
+ (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE392, (q15_t)0x8332,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306,
+ (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB,
+ (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1,
+ (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262,
+ (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C,
+ (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217,
+ (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1,
+ (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0,
+ (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190,
+ (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154,
+ (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137,
+ (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C,
+ (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA,
+ (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2,
+ (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC,
+ (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094,
+ (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081,
+ (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070,
+ (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051,
+ (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043,
+ (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037,
+ (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022,
+ (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A,
+ (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012,
+ (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007,
+ (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003,
+ (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001,
+ (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_4096_q15[6144] =
+{
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032,
+ (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096,
+ (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB,
+ (q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F,
+ (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4,
+ (q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228,
+ (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D,
+ (q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356,
+ (q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA,
+ (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F,
+ (q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483,
+ (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8,
+ (q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C,
+ (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1,
+ (q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A,
+ (q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE,
+ (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742,
+ (q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7,
+ (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B,
+ (q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F,
+ (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4,
+ (q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C,
+ (q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00,
+ (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65,
+ (q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9,
+ (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D,
+ (q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91,
+ (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5,
+ (q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD,
+ (q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21,
+ (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85,
+ (q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9,
+ (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D,
+ (q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1,
+ (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15,
+ (q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD,
+ (q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040,
+ (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4,
+ (q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108,
+ (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B,
+ (q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF,
+ (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EB3, (q15_t)0x1232,
+ (q15_t)0x7EAB, (q15_t)0x1264, (q15_t)0x7EA4, (q15_t)0x1296,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E95, (q15_t)0x12F9,
+ (q15_t)0x7E8E, (q15_t)0x132B, (q15_t)0x7E86, (q15_t)0x135D,
+ (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E77, (q15_t)0x13C0,
+ (q15_t)0x7E6F, (q15_t)0x13F2, (q15_t)0x7E67, (q15_t)0x1423,
+ (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E57, (q15_t)0x1487,
+ (q15_t)0x7E4F, (q15_t)0x14B8, (q15_t)0x7E47, (q15_t)0x14EA,
+ (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E37, (q15_t)0x154D,
+ (q15_t)0x7E2E, (q15_t)0x157F, (q15_t)0x7E26, (q15_t)0x15B0,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E14, (q15_t)0x1613,
+ (q15_t)0x7E0C, (q15_t)0x1645, (q15_t)0x7E03, (q15_t)0x1676,
+ (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DF1, (q15_t)0x16D9,
+ (q15_t)0x7DE8, (q15_t)0x170A, (q15_t)0x7DDF, (q15_t)0x173C,
+ (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DCD, (q15_t)0x179F,
+ (q15_t)0x7DC3, (q15_t)0x17D0, (q15_t)0x7DBA, (q15_t)0x1802,
+ (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7DA7, (q15_t)0x1864,
+ (q15_t)0x7D9D, (q15_t)0x1896, (q15_t)0x7D94, (q15_t)0x18C7,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D80, (q15_t)0x192A,
+ (q15_t)0x7D76, (q15_t)0x195B, (q15_t)0x7D6C, (q15_t)0x198C,
+ (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D58, (q15_t)0x19EF,
+ (q15_t)0x7D4E, (q15_t)0x1A20, (q15_t)0x7D43, (q15_t)0x1A51,
+ (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D2F, (q15_t)0x1AB3,
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+ (q15_t)0x2DB3, (q15_t)0x7790, (q15_t)0x2D84, (q15_t)0x77A2,
+ (q15_t)0x2D55, (q15_t)0x77B4, (q15_t)0x2D26, (q15_t)0x77C5,
+ (q15_t)0x2CF7, (q15_t)0x77D7, (q15_t)0x2CC8, (q15_t)0x77E9,
+ (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2C69, (q15_t)0x780C,
+ (q15_t)0x2C3A, (q15_t)0x781D, (q15_t)0x2C0B, (q15_t)0x782E,
+ (q15_t)0x2BDC, (q15_t)0x7840, (q15_t)0x2BAD, (q15_t)0x7851,
+ (q15_t)0x2B7D, (q15_t)0x7862, (q15_t)0x2B4E, (q15_t)0x7873,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2AEF, (q15_t)0x7895,
+ (q15_t)0x2AC0, (q15_t)0x78A6, (q15_t)0x2A91, (q15_t)0x78B6,
+ (q15_t)0x2A61, (q15_t)0x78C7, (q15_t)0x2A32, (q15_t)0x78D8,
+ (q15_t)0x2A02, (q15_t)0x78E8, (q15_t)0x29D3, (q15_t)0x78F9,
+ (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x2974, (q15_t)0x7919,
+ (q15_t)0x2944, (q15_t)0x792A, (q15_t)0x2915, (q15_t)0x793A,
+ (q15_t)0x28E5, (q15_t)0x794A, (q15_t)0x28B5, (q15_t)0x795A,
+ (q15_t)0x2886, (q15_t)0x796A, (q15_t)0x2856, (q15_t)0x797A,
+ (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x27F6, (q15_t)0x7999,
+ (q15_t)0x27C7, (q15_t)0x79A9, (q15_t)0x2797, (q15_t)0x79B9,
+ (q15_t)0x2767, (q15_t)0x79C8, (q15_t)0x2737, (q15_t)0x79D8,
+ (q15_t)0x2707, (q15_t)0x79E7, (q15_t)0x26D8, (q15_t)0x79F6,
+ (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x2678, (q15_t)0x7A15,
+ (q15_t)0x2648, (q15_t)0x7A24, (q15_t)0x2618, (q15_t)0x7A33,
+ (q15_t)0x25E8, (q15_t)0x7A42, (q15_t)0x25B8, (q15_t)0x7A50,
+ (q15_t)0x2588, (q15_t)0x7A5F, (q15_t)0x2558, (q15_t)0x7A6E,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x24F7, (q15_t)0x7A8B,
+ (q15_t)0x24C7, (q15_t)0x7A9A, (q15_t)0x2497, (q15_t)0x7AA8,
+ (q15_t)0x2467, (q15_t)0x7AB6, (q15_t)0x2437, (q15_t)0x7AC5,
+ (q15_t)0x2407, (q15_t)0x7AD3, (q15_t)0x23D6, (q15_t)0x7AE1,
+ (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x2376, (q15_t)0x7AFD,
+ (q15_t)0x2345, (q15_t)0x7B0B, (q15_t)0x2315, (q15_t)0x7B19,
+ (q15_t)0x22E5, (q15_t)0x7B26, (q15_t)0x22B4, (q15_t)0x7B34,
+ (q15_t)0x2284, (q15_t)0x7B42, (q15_t)0x2254, (q15_t)0x7B4F,
+ (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x21F3, (q15_t)0x7B6A,
+ (q15_t)0x21C2, (q15_t)0x7B77, (q15_t)0x2192, (q15_t)0x7B84,
+ (q15_t)0x2161, (q15_t)0x7B92, (q15_t)0x2131, (q15_t)0x7B9F,
+ (q15_t)0x2100, (q15_t)0x7BAC, (q15_t)0x20D0, (q15_t)0x7BB9,
+ (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x206E, (q15_t)0x7BD2,
+ (q15_t)0x203E, (q15_t)0x7BDF, (q15_t)0x200D, (q15_t)0x7BEB,
+ (q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1FAC, (q15_t)0x7C05,
+ (q15_t)0x1F7B, (q15_t)0x7C11, (q15_t)0x1F4A, (q15_t)0x7C1D,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EE9, (q15_t)0x7C36,
+ (q15_t)0x1EB8, (q15_t)0x7C42, (q15_t)0x1E87, (q15_t)0x7C4E,
+ (q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1E25, (q15_t)0x7C66,
+ (q15_t)0x1DF5, (q15_t)0x7C71, (q15_t)0x1DC4, (q15_t)0x7C7D,
+ (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D62, (q15_t)0x7C94,
+ (q15_t)0x1D31, (q15_t)0x7CA0, (q15_t)0x1D00, (q15_t)0x7CAB,
+ (q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C9E, (q15_t)0x7CC2,
+ (q15_t)0x1C6D, (q15_t)0x7CCD, (q15_t)0x1C3C, (q15_t)0x7CD8,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BDA, (q15_t)0x7CEE,
+ (q15_t)0x1BA9, (q15_t)0x7CF9, (q15_t)0x1B78, (q15_t)0x7D04,
+ (q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1B16, (q15_t)0x7D19,
+ (q15_t)0x1AE4, (q15_t)0x7D24, (q15_t)0x1AB3, (q15_t)0x7D2F,
+ (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A51, (q15_t)0x7D43,
+ (q15_t)0x1A20, (q15_t)0x7D4E, (q15_t)0x19EF, (q15_t)0x7D58,
+ (q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x198C, (q15_t)0x7D6C,
+ (q15_t)0x195B, (q15_t)0x7D76, (q15_t)0x192A, (q15_t)0x7D80,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x18C7, (q15_t)0x7D94,
+ (q15_t)0x1896, (q15_t)0x7D9D, (q15_t)0x1864, (q15_t)0x7DA7,
+ (q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x1802, (q15_t)0x7DBA,
+ (q15_t)0x17D0, (q15_t)0x7DC3, (q15_t)0x179F, (q15_t)0x7DCD,
+ (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x173C, (q15_t)0x7DDF,
+ (q15_t)0x170A, (q15_t)0x7DE8, (q15_t)0x16D9, (q15_t)0x7DF1,
+ (q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1676, (q15_t)0x7E03,
+ (q15_t)0x1645, (q15_t)0x7E0C, (q15_t)0x1613, (q15_t)0x7E14,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x15B0, (q15_t)0x7E26,
+ (q15_t)0x157F, (q15_t)0x7E2E, (q15_t)0x154D, (q15_t)0x7E37,
+ (q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14EA, (q15_t)0x7E47,
+ (q15_t)0x14B8, (q15_t)0x7E4F, (q15_t)0x1487, (q15_t)0x7E57,
+ (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x1423, (q15_t)0x7E67,
+ (q15_t)0x13F2, (q15_t)0x7E6F, (q15_t)0x13C0, (q15_t)0x7E77,
+ (q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x135D, (q15_t)0x7E86,
+ (q15_t)0x132B, (q15_t)0x7E8E, (q15_t)0x12F9, (q15_t)0x7E95,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1296, (q15_t)0x7EA4,
+ (q15_t)0x1264, (q15_t)0x7EAB, (q15_t)0x1232, (q15_t)0x7EB3,
+ (q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x11CF, (q15_t)0x7EC1,
+ (q15_t)0x119D, (q15_t)0x7EC8, (q15_t)0x116B, (q15_t)0x7ECF,
+ (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1108, (q15_t)0x7EDC,
+ (q15_t)0x10D6, (q15_t)0x7EE3, (q15_t)0x10A4, (q15_t)0x7EE9,
+ (q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x1040, (q15_t)0x7EF6,
+ (q15_t)0x100E, (q15_t)0x7EFD, (q15_t)0x0FDD, (q15_t)0x7F03,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F79, (q15_t)0x7F0F,
+ (q15_t)0x0F47, (q15_t)0x7F15, (q15_t)0x0F15, (q15_t)0x7F1B,
+ (q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0EB1, (q15_t)0x7F27,
+ (q15_t)0x0E7F, (q15_t)0x7F2D, (q15_t)0x0E4D, (q15_t)0x7F32,
+ (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DE9, (q15_t)0x7F3D,
+ (q15_t)0x0DB7, (q15_t)0x7F43, (q15_t)0x0D85, (q15_t)0x7F48,
+ (q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0D21, (q15_t)0x7F53,
+ (q15_t)0x0CEF, (q15_t)0x7F58, (q15_t)0x0CBD, (q15_t)0x7F5D,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C59, (q15_t)0x7F67,
+ (q15_t)0x0C27, (q15_t)0x7F6B, (q15_t)0x0BF5, (q15_t)0x7F70,
+ (q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B91, (q15_t)0x7F79,
+ (q15_t)0x0B5F, (q15_t)0x7F7E, (q15_t)0x0B2D, (q15_t)0x7F82,
+ (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0AC9, (q15_t)0x7F8B,
+ (q15_t)0x0A97, (q15_t)0x7F8F, (q15_t)0x0A65, (q15_t)0x7F93,
+ (q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x0A00, (q15_t)0x7F9B,
+ (q15_t)0x09CE, (q15_t)0x7F9F, (q15_t)0x099C, (q15_t)0x7FA3,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0938, (q15_t)0x7FAA,
+ (q15_t)0x0906, (q15_t)0x7FAE, (q15_t)0x08D4, (q15_t)0x7FB1,
+ (q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x086F, (q15_t)0x7FB8,
+ (q15_t)0x083D, (q15_t)0x7FBC, (q15_t)0x080B, (q15_t)0x7FBF,
+ (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x07A7, (q15_t)0x7FC5,
+ (q15_t)0x0775, (q15_t)0x7FC8, (q15_t)0x0742, (q15_t)0x7FCB,
+ (q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06DE, (q15_t)0x7FD0,
+ (q15_t)0x06AC, (q15_t)0x7FD3, (q15_t)0x067A, (q15_t)0x7FD6,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0615, (q15_t)0x7FDA,
+ (q15_t)0x05E3, (q15_t)0x7FDD, (q15_t)0x05B1, (q15_t)0x7FDF,
+ (q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x054C, (q15_t)0x7FE3,
+ (q15_t)0x051A, (q15_t)0x7FE5, (q15_t)0x04E8, (q15_t)0x7FE7,
+ (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0483, (q15_t)0x7FEB,
+ (q15_t)0x0451, (q15_t)0x7FED, (q15_t)0x041F, (q15_t)0x7FEE,
+ (q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x03BA, (q15_t)0x7FF2,
+ (q15_t)0x0388, (q15_t)0x7FF3, (q15_t)0x0356, (q15_t)0x7FF4,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02F1, (q15_t)0x7FF7,
+ (q15_t)0x02BF, (q15_t)0x7FF8, (q15_t)0x028D, (q15_t)0x7FF9,
+ (q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x0228, (q15_t)0x7FFB,
+ (q15_t)0x01F6, (q15_t)0x7FFC, (q15_t)0x01C4, (q15_t)0x7FFC,
+ (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x015F, (q15_t)0x7FFE,
+ (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x00FB, (q15_t)0x7FFF,
+ (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0096, (q15_t)0x7FFF,
+ (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0032, (q15_t)0x7FFF,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFFCD, (q15_t)0x7FFF,
+ (q15_t)0xFF9B, (q15_t)0x7FFF, (q15_t)0xFF69, (q15_t)0x7FFF,
+ (q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFF04, (q15_t)0x7FFF,
+ (q15_t)0xFED2, (q15_t)0x7FFE, (q15_t)0xFEA0, (q15_t)0x7FFE,
+ (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE3B, (q15_t)0x7FFC,
+ (q15_t)0xFE09, (q15_t)0x7FFC, (q15_t)0xFDD7, (q15_t)0x7FFB,
+ (q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD72, (q15_t)0x7FF9,
+ (q15_t)0xFD40, (q15_t)0x7FF8, (q15_t)0xFD0E, (q15_t)0x7FF7,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFCA9, (q15_t)0x7FF4,
+ (q15_t)0xFC77, (q15_t)0x7FF3, (q15_t)0xFC45, (q15_t)0x7FF2,
+ (q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBE0, (q15_t)0x7FEE,
+ (q15_t)0xFBAE, (q15_t)0x7FED, (q15_t)0xFB7C, (q15_t)0x7FEB,
+ (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFB17, (q15_t)0x7FE7,
+ (q15_t)0xFAE5, (q15_t)0x7FE5, (q15_t)0xFAB3, (q15_t)0x7FE3,
+ (q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA4E, (q15_t)0x7FDF,
+ (q15_t)0xFA1C, (q15_t)0x7FDD, (q15_t)0xF9EA, (q15_t)0x7FDA,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF985, (q15_t)0x7FD6,
+ (q15_t)0xF953, (q15_t)0x7FD3, (q15_t)0xF921, (q15_t)0x7FD0,
+ (q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF8BD, (q15_t)0x7FCB,
+ (q15_t)0xF88A, (q15_t)0x7FC8, (q15_t)0xF858, (q15_t)0x7FC5,
+ (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7F4, (q15_t)0x7FBF,
+ (q15_t)0xF7C2, (q15_t)0x7FBC, (q15_t)0xF790, (q15_t)0x7FB8,
+ (q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF72B, (q15_t)0x7FB1,
+ (q15_t)0xF6F9, (q15_t)0x7FAE, (q15_t)0xF6C7, (q15_t)0x7FAA,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF663, (q15_t)0x7FA3,
+ (q15_t)0xF631, (q15_t)0x7F9F, (q15_t)0xF5FF, (q15_t)0x7F9B,
+ (q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF59A, (q15_t)0x7F93,
+ (q15_t)0xF568, (q15_t)0x7F8F, (q15_t)0xF536, (q15_t)0x7F8B,
+ (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4D2, (q15_t)0x7F82,
+ (q15_t)0xF4A0, (q15_t)0x7F7E, (q15_t)0xF46E, (q15_t)0x7F79,
+ (q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF40A, (q15_t)0x7F70,
+ (q15_t)0xF3D8, (q15_t)0x7F6B, (q15_t)0xF3A6, (q15_t)0x7F67,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF342, (q15_t)0x7F5D,
+ (q15_t)0xF310, (q15_t)0x7F58, (q15_t)0xF2DE, (q15_t)0x7F53,
+ (q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF27A, (q15_t)0x7F48,
+ (q15_t)0xF248, (q15_t)0x7F43, (q15_t)0xF216, (q15_t)0x7F3D,
+ (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF1B2, (q15_t)0x7F32,
+ (q15_t)0xF180, (q15_t)0x7F2D, (q15_t)0xF14E, (q15_t)0x7F27,
+ (q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0EA, (q15_t)0x7F1B,
+ (q15_t)0xF0B8, (q15_t)0x7F15, (q15_t)0xF086, (q15_t)0x7F0F,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xF022, (q15_t)0x7F03,
+ (q15_t)0xEFF1, (q15_t)0x7EFD, (q15_t)0xEFBF, (q15_t)0x7EF6,
+ (q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF5B, (q15_t)0x7EE9,
+ (q15_t)0xEF29, (q15_t)0x7EE3, (q15_t)0xEEF7, (q15_t)0x7EDC,
+ (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE94, (q15_t)0x7ECF,
+ (q15_t)0xEE62, (q15_t)0x7EC8, (q15_t)0xEE30, (q15_t)0x7EC1,
+ (q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xEDCD, (q15_t)0x7EB3,
+ (q15_t)0xED9B, (q15_t)0x7EAB, (q15_t)0xED69, (q15_t)0x7EA4,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xED06, (q15_t)0x7E95,
+ (q15_t)0xECD4, (q15_t)0x7E8E, (q15_t)0xECA2, (q15_t)0x7E86,
+ (q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC3F, (q15_t)0x7E77,
+ (q15_t)0xEC0D, (q15_t)0x7E6F, (q15_t)0xEBDC, (q15_t)0x7E67,
+ (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB78, (q15_t)0x7E57,
+ (q15_t)0xEB47, (q15_t)0x7E4F, (q15_t)0xEB15, (q15_t)0x7E47,
+ (q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEAB2, (q15_t)0x7E37,
+ (q15_t)0xEA80, (q15_t)0x7E2E, (q15_t)0xEA4F, (q15_t)0x7E26,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9EC, (q15_t)0x7E14,
+ (q15_t)0xE9BA, (q15_t)0x7E0C, (q15_t)0xE989, (q15_t)0x7E03,
+ (q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE926, (q15_t)0x7DF1,
+ (q15_t)0xE8F5, (q15_t)0x7DE8, (q15_t)0xE8C3, (q15_t)0x7DDF,
+ (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE860, (q15_t)0x7DCD,
+ (q15_t)0xE82F, (q15_t)0x7DC3, (q15_t)0xE7FD, (q15_t)0x7DBA,
+ (q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE79B, (q15_t)0x7DA7,
+ (q15_t)0xE769, (q15_t)0x7D9D, (q15_t)0xE738, (q15_t)0x7D94,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6D5, (q15_t)0x7D80,
+ (q15_t)0xE6A4, (q15_t)0x7D76, (q15_t)0xE673, (q15_t)0x7D6C,
+ (q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE610, (q15_t)0x7D58,
+ (q15_t)0xE5DF, (q15_t)0x7D4E, (q15_t)0xE5AE, (q15_t)0x7D43,
+ (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE54C, (q15_t)0x7D2F,
+ (q15_t)0xE51B, (q15_t)0x7D24, (q15_t)0xE4E9, (q15_t)0x7D19,
+ (q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE487, (q15_t)0x7D04,
+ (q15_t)0xE456, (q15_t)0x7CF9, (q15_t)0xE425, (q15_t)0x7CEE,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE3C3, (q15_t)0x7CD8,
+ (q15_t)0xE392, (q15_t)0x7CCD, (q15_t)0xE361, (q15_t)0x7CC2,
+ (q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2FF, (q15_t)0x7CAB,
+ (q15_t)0xE2CE, (q15_t)0x7CA0, (q15_t)0xE29D, (q15_t)0x7C94,
+ (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE23B, (q15_t)0x7C7D,
+ (q15_t)0xE20A, (q15_t)0x7C71, (q15_t)0xE1DA, (q15_t)0x7C66,
+ (q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE178, (q15_t)0x7C4E,
+ (q15_t)0xE147, (q15_t)0x7C42, (q15_t)0xE116, (q15_t)0x7C36,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE0B5, (q15_t)0x7C1D,
+ (q15_t)0xE084, (q15_t)0x7C11, (q15_t)0xE053, (q15_t)0x7C05,
+ (q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFF2, (q15_t)0x7BEB,
+ (q15_t)0xDFC1, (q15_t)0x7BDF, (q15_t)0xDF91, (q15_t)0x7BD2,
+ (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDF2F, (q15_t)0x7BB9,
+ (q15_t)0xDEFF, (q15_t)0x7BAC, (q15_t)0xDECE, (q15_t)0x7B9F,
+ (q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE6D, (q15_t)0x7B84,
+ (q15_t)0xDE3D, (q15_t)0x7B77, (q15_t)0xDE0C, (q15_t)0x7B6A,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDDAB, (q15_t)0x7B4F,
+ (q15_t)0xDD7B, (q15_t)0x7B42, (q15_t)0xDD4B, (q15_t)0x7B34,
+ (q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCEA, (q15_t)0x7B19,
+ (q15_t)0xDCBA, (q15_t)0x7B0B, (q15_t)0xDC89, (q15_t)0x7AFD,
+ (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDC29, (q15_t)0x7AE1,
+ (q15_t)0xDBF8, (q15_t)0x7AD3, (q15_t)0xDBC8, (q15_t)0x7AC5,
+ (q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB68, (q15_t)0x7AA8,
+ (q15_t)0xDB38, (q15_t)0x7A9A, (q15_t)0xDB08, (q15_t)0x7A8B,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDAA7, (q15_t)0x7A6E,
+ (q15_t)0xDA77, (q15_t)0x7A5F, (q15_t)0xDA47, (q15_t)0x7A50,
+ (q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9E7, (q15_t)0x7A33,
+ (q15_t)0xD9B7, (q15_t)0x7A24, (q15_t)0xD987, (q15_t)0x7A15,
+ (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD927, (q15_t)0x79F6,
+ (q15_t)0xD8F8, (q15_t)0x79E7, (q15_t)0xD8C8, (q15_t)0x79D8,
+ (q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD868, (q15_t)0x79B9,
+ (q15_t)0xD838, (q15_t)0x79A9, (q15_t)0xD809, (q15_t)0x7999,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD7A9, (q15_t)0x797A,
+ (q15_t)0xD779, (q15_t)0x796A, (q15_t)0xD74A, (q15_t)0x795A,
+ (q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6EA, (q15_t)0x793A,
+ (q15_t)0xD6BB, (q15_t)0x792A, (q15_t)0xD68B, (q15_t)0x7919,
+ (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD62C, (q15_t)0x78F9,
+ (q15_t)0xD5FD, (q15_t)0x78E8, (q15_t)0xD5CD, (q15_t)0x78D8,
+ (q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD56E, (q15_t)0x78B6,
+ (q15_t)0xD53F, (q15_t)0x78A6, (q15_t)0xD510, (q15_t)0x7895,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD4B1, (q15_t)0x7873,
+ (q15_t)0xD482, (q15_t)0x7862, (q15_t)0xD452, (q15_t)0x7851,
+ (q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3F4, (q15_t)0x782E,
+ (q15_t)0xD3C5, (q15_t)0x781D, (q15_t)0xD396, (q15_t)0x780C,
+ (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD337, (q15_t)0x77E9,
+ (q15_t)0xD308, (q15_t)0x77D7, (q15_t)0xD2D9, (q15_t)0x77C5,
+ (q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD27B, (q15_t)0x77A2,
+ (q15_t)0xD24C, (q15_t)0x7790, (q15_t)0xD21D, (q15_t)0x777E,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD1C0, (q15_t)0x775A,
+ (q15_t)0xD191, (q15_t)0x7747, (q15_t)0xD162, (q15_t)0x7735,
+ (q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD104, (q15_t)0x7710,
+ (q15_t)0xD0D6, (q15_t)0x76FE, (q15_t)0xD0A7, (q15_t)0x76EB,
+ (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD04A, (q15_t)0x76C6,
+ (q15_t)0xD01B, (q15_t)0x76B3, (q15_t)0xCFEC, (q15_t)0x76A0,
+ (q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF8F, (q15_t)0x767B,
+ (q15_t)0xCF61, (q15_t)0x7668, (q15_t)0xCF32, (q15_t)0x7654,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCED5, (q15_t)0x762E,
+ (q15_t)0xCEA7, (q15_t)0x761B, (q15_t)0xCE79, (q15_t)0x7607,
+ (q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCE1C, (q15_t)0x75E0,
+ (q15_t)0xCDEE, (q15_t)0x75CC, (q15_t)0xCDBF, (q15_t)0x75B9,
+ (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD63, (q15_t)0x7591,
+ (q15_t)0xCD35, (q15_t)0x757D, (q15_t)0xCD07, (q15_t)0x7569,
+ (q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCCAB, (q15_t)0x7541,
+ (q15_t)0xCC7D, (q15_t)0x752D, (q15_t)0xCC4F, (q15_t)0x7519,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBF3, (q15_t)0x74F0,
+ (q15_t)0xCBC5, (q15_t)0x74DB, (q15_t)0xCB97, (q15_t)0x74C7,
+ (q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB3B, (q15_t)0x749E,
+ (q15_t)0xCB0D, (q15_t)0x7489, (q15_t)0xCAE0, (q15_t)0x7474,
+ (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA84, (q15_t)0x744A,
+ (q15_t)0xCA57, (q15_t)0x7435, (q15_t)0xCA29, (q15_t)0x7420,
+ (q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9CE, (q15_t)0x73F6,
+ (q15_t)0xC9A0, (q15_t)0x73E0, (q15_t)0xC973, (q15_t)0x73CB,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC918, (q15_t)0x73A0,
+ (q15_t)0xC8EB, (q15_t)0x738A, (q15_t)0xC8BD, (q15_t)0x7375,
+ (q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC863, (q15_t)0x7349,
+ (q15_t)0xC835, (q15_t)0x7333, (q15_t)0xC808, (q15_t)0x731D,
+ (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC7AE, (q15_t)0x72F1,
+ (q15_t)0xC781, (q15_t)0x72DB, (q15_t)0xC754, (q15_t)0x72C5,
+ (q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6F9, (q15_t)0x7298,
+ (q15_t)0xC6CD, (q15_t)0x7282, (q15_t)0xC6A0, (q15_t)0x726B,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC646, (q15_t)0x723E,
+ (q15_t)0xC619, (q15_t)0x7227, (q15_t)0xC5EC, (q15_t)0x7211,
+ (q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC593, (q15_t)0x71E3,
+ (q15_t)0xC566, (q15_t)0x71CC, (q15_t)0xC539, (q15_t)0x71B5,
+ (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4E0, (q15_t)0x7186,
+ (q15_t)0xC4B3, (q15_t)0x716F, (q15_t)0xC487, (q15_t)0x7158,
+ (q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC42E, (q15_t)0x7129,
+ (q15_t)0xC402, (q15_t)0x7112, (q15_t)0xC3D5, (q15_t)0x70FA,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC37C, (q15_t)0x70CB,
+ (q15_t)0xC350, (q15_t)0x70B3, (q15_t)0xC324, (q15_t)0x709B,
+ (q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC2CC, (q15_t)0x706B,
+ (q15_t)0xC29F, (q15_t)0x7053, (q15_t)0xC273, (q15_t)0x703B,
+ (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC21B, (q15_t)0x700A,
+ (q15_t)0xC1EF, (q15_t)0x6FF2, (q15_t)0xC1C3, (q15_t)0x6FDA,
+ (q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC16C, (q15_t)0x6FA9,
+ (q15_t)0xC140, (q15_t)0x6F90, (q15_t)0xC114, (q15_t)0x6F77,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC0BC, (q15_t)0x6F46,
+ (q15_t)0xC091, (q15_t)0x6F2D, (q15_t)0xC065, (q15_t)0x6F14,
+ (q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xC00E, (q15_t)0x6EE2,
+ (q15_t)0xBFE2, (q15_t)0x6EC9, (q15_t)0xBFB7, (q15_t)0x6EAF,
+ (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF60, (q15_t)0x6E7D,
+ (q15_t)0xBF35, (q15_t)0x6E63, (q15_t)0xBF09, (q15_t)0x6E4A,
+ (q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBEB3, (q15_t)0x6E17,
+ (q15_t)0xBE88, (q15_t)0x6DFD, (q15_t)0xBE5D, (q15_t)0x6DE3,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBE06, (q15_t)0x6DB0,
+ (q15_t)0xBDDB, (q15_t)0x6D96, (q15_t)0xBDB0, (q15_t)0x6D7C,
+ (q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD5A, (q15_t)0x6D48,
+ (q15_t)0xBD2F, (q15_t)0x6D2D, (q15_t)0xBD05, (q15_t)0x6D13,
+ (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBCAF, (q15_t)0x6CDE,
+ (q15_t)0xBC84, (q15_t)0x6CC4, (q15_t)0xBC5A, (q15_t)0x6CA9,
+ (q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBC04, (q15_t)0x6C74,
+ (q15_t)0xBBDA, (q15_t)0x6C59, (q15_t)0xBBAF, (q15_t)0x6C3F,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB5A, (q15_t)0x6C09,
+ (q15_t)0xBB30, (q15_t)0x6BEE, (q15_t)0xBB05, (q15_t)0x6BD3,
+ (q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBAB1, (q15_t)0x6B9C,
+ (q15_t)0xBA87, (q15_t)0x6B81, (q15_t)0xBA5C, (q15_t)0x6B66,
+ (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xBA08, (q15_t)0x6B2F,
+ (q15_t)0xB9DE, (q15_t)0x6B13, (q15_t)0xB9B4, (q15_t)0x6AF8,
+ (q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB960, (q15_t)0x6AC1,
+ (q15_t)0xB936, (q15_t)0x6AA5, (q15_t)0xB90C, (q15_t)0x6A89,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB8B9, (q15_t)0x6A51,
+ (q15_t)0xB88F, (q15_t)0x6A35, (q15_t)0xB865, (q15_t)0x6A19,
+ (q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB812, (q15_t)0x69E1,
+ (q15_t)0xB7E9, (q15_t)0x69C4, (q15_t)0xB7BF, (q15_t)0x69A8,
+ (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB76C, (q15_t)0x696F,
+ (q15_t)0xB743, (q15_t)0x6953, (q15_t)0xB719, (q15_t)0x6936,
+ (q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB6C7, (q15_t)0x68FD,
+ (q15_t)0xB69E, (q15_t)0x68E0, (q15_t)0xB675, (q15_t)0x68C3,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB622, (q15_t)0x6889,
+ (q15_t)0xB5F9, (q15_t)0x686C, (q15_t)0xB5D0, (q15_t)0x684F,
+ (q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB57E, (q15_t)0x6815,
+ (q15_t)0xB556, (q15_t)0x67F7, (q15_t)0xB52D, (q15_t)0x67DA,
+ (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4DB, (q15_t)0x679F,
+ (q15_t)0xB4B3, (q15_t)0x6782, (q15_t)0xB48A, (q15_t)0x6764,
+ (q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB439, (q15_t)0x6729,
+ (q15_t)0xB410, (q15_t)0x670B, (q15_t)0xB3E8, (q15_t)0x66ED,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB397, (q15_t)0x66B1,
+ (q15_t)0xB36F, (q15_t)0x6693, (q15_t)0xB347, (q15_t)0x6675,
+ (q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2F6, (q15_t)0x6639,
+ (q15_t)0xB2CE, (q15_t)0x661A, (q15_t)0xB2A6, (q15_t)0x65FC,
+ (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB256, (q15_t)0x65BF,
+ (q15_t)0xB22E, (q15_t)0x65A0, (q15_t)0xB206, (q15_t)0x6582,
+ (q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB1B7, (q15_t)0x6545,
+ (q15_t)0xB18F, (q15_t)0x6526, (q15_t)0xB167, (q15_t)0x6507,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB118, (q15_t)0x64C9,
+ (q15_t)0xB0F0, (q15_t)0x64AA, (q15_t)0xB0C9, (q15_t)0x648B,
+ (q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB07A, (q15_t)0x644D,
+ (q15_t)0xB053, (q15_t)0x642D, (q15_t)0xB02B, (q15_t)0x640E,
+ (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFDD, (q15_t)0x63CF,
+ (q15_t)0xAFB6, (q15_t)0x63B0, (q15_t)0xAF8F, (q15_t)0x6390,
+ (q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF40, (q15_t)0x6351,
+ (q15_t)0xAF1A, (q15_t)0x6331, (q15_t)0xAEF3, (q15_t)0x6311,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAEA5, (q15_t)0x62D2,
+ (q15_t)0xAE7E, (q15_t)0x62B2, (q15_t)0xAE57, (q15_t)0x6292,
+ (q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xAE0A, (q15_t)0x6251,
+ (q15_t)0xADE3, (q15_t)0x6231, (q15_t)0xADBD, (q15_t)0x6211,
+ (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD70, (q15_t)0x61D0,
+ (q15_t)0xAD4A, (q15_t)0x61B0, (q15_t)0xAD23, (q15_t)0x618F,
+ (q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACD7, (q15_t)0x614E,
+ (q15_t)0xACB1, (q15_t)0x612D, (q15_t)0xAC8A, (q15_t)0x610D,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC3E, (q15_t)0x60CB,
+ (q15_t)0xAC18, (q15_t)0x60AA, (q15_t)0xABF2, (q15_t)0x6089,
+ (q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xABA7, (q15_t)0x6047,
+ (q15_t)0xAB81, (q15_t)0x6026, (q15_t)0xAB5B, (q15_t)0x6004,
+ (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAB10, (q15_t)0x5FC2,
+ (q15_t)0xAAEA, (q15_t)0x5FA0, (q15_t)0xAAC5, (q15_t)0x5F7F,
+ (q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA7A, (q15_t)0x5F3C,
+ (q15_t)0xAA54, (q15_t)0x5F1A, (q15_t)0xAA2F, (q15_t)0x5EF9,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9E5, (q15_t)0x5EB5,
+ (q15_t)0xA9BF, (q15_t)0x5E93, (q15_t)0xA99A, (q15_t)0x5E71,
+ (q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA950, (q15_t)0x5E2D,
+ (q15_t)0xA92B, (q15_t)0x5E0B, (q15_t)0xA906, (q15_t)0x5DE9,
+ (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA8BD, (q15_t)0x5DA5,
+ (q15_t)0xA898, (q15_t)0x5D83, (q15_t)0xA873, (q15_t)0x5D60,
+ (q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA82A, (q15_t)0x5D1B,
+ (q15_t)0xA806, (q15_t)0x5CF9, (q15_t)0xA7E1, (q15_t)0x5CD6,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA798, (q15_t)0x5C91,
+ (q15_t)0xA774, (q15_t)0x5C6E, (q15_t)0xA750, (q15_t)0x5C4B,
+ (q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA707, (q15_t)0x5C06,
+ (q15_t)0xA6E3, (q15_t)0x5BE3, (q15_t)0xA6BF, (q15_t)0x5BC0,
+ (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA677, (q15_t)0x5B79,
+ (q15_t)0xA653, (q15_t)0x5B56, (q15_t)0xA62F, (q15_t)0x5B33,
+ (q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5E8, (q15_t)0x5AEC,
+ (q15_t)0xA5C4, (q15_t)0x5AC9, (q15_t)0xA5A1, (q15_t)0x5AA5,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA55A, (q15_t)0x5A5E,
+ (q15_t)0xA536, (q15_t)0x5A3B, (q15_t)0xA513, (q15_t)0x5A17,
+ (q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4CC, (q15_t)0x59D0,
+ (q15_t)0xA4A9, (q15_t)0x59AC, (q15_t)0xA486, (q15_t)0x5988,
+ (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA43F, (q15_t)0x5940,
+ (q15_t)0xA41C, (q15_t)0x591C, (q15_t)0xA3F9, (q15_t)0x58F8,
+ (q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA3B4, (q15_t)0x58AF,
+ (q15_t)0xA391, (q15_t)0x588B, (q15_t)0xA36E, (q15_t)0x5867,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA329, (q15_t)0x581E,
+ (q15_t)0xA306, (q15_t)0x57F9, (q15_t)0xA2E4, (q15_t)0x57D5,
+ (q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA29F, (q15_t)0x578C,
+ (q15_t)0xA27C, (q15_t)0x5767, (q15_t)0xA25A, (q15_t)0x5742,
+ (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA216, (q15_t)0x56F9,
+ (q15_t)0xA1F4, (q15_t)0x56D4, (q15_t)0xA1D2, (q15_t)0x56AF,
+ (q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA18E, (q15_t)0x5665,
+ (q15_t)0xA16C, (q15_t)0x5640, (q15_t)0xA14A, (q15_t)0x561A,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA106, (q15_t)0x55D0,
+ (q15_t)0xA0E5, (q15_t)0x55AB, (q15_t)0xA0C3, (q15_t)0x5585,
+ (q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA080, (q15_t)0x553A,
+ (q15_t)0xA05F, (q15_t)0x5515, (q15_t)0xA03D, (q15_t)0x54EF,
+ (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FFB, (q15_t)0x54A4,
+ (q15_t)0x9FD9, (q15_t)0x547E, (q15_t)0x9FB8, (q15_t)0x5458,
+ (q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F76, (q15_t)0x540D,
+ (q15_t)0x9F55, (q15_t)0x53E7, (q15_t)0x9F34, (q15_t)0x53C1,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9EF2, (q15_t)0x5375,
+ (q15_t)0x9ED2, (q15_t)0x534E, (q15_t)0x9EB1, (q15_t)0x5328,
+ (q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E70, (q15_t)0x52DC,
+ (q15_t)0x9E4F, (q15_t)0x52B5, (q15_t)0x9E2F, (q15_t)0x528F,
+ (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DEE, (q15_t)0x5242,
+ (q15_t)0x9DCE, (q15_t)0x521C, (q15_t)0x9DAE, (q15_t)0x51F5,
+ (q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D6D, (q15_t)0x51A8,
+ (q15_t)0x9D4D, (q15_t)0x5181, (q15_t)0x9D2D, (q15_t)0x515A,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CEE, (q15_t)0x510C,
+ (q15_t)0x9CCE, (q15_t)0x50E5, (q15_t)0x9CAE, (q15_t)0x50BF,
+ (q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C6F, (q15_t)0x5070,
+ (q15_t)0x9C4F, (q15_t)0x5049, (q15_t)0x9C30, (q15_t)0x5022,
+ (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BF1, (q15_t)0x4FD4,
+ (q15_t)0x9BD2, (q15_t)0x4FAC, (q15_t)0x9BB2, (q15_t)0x4F85,
+ (q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B74, (q15_t)0x4F36,
+ (q15_t)0x9B55, (q15_t)0x4F0F, (q15_t)0x9B36, (q15_t)0x4EE7,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AF8, (q15_t)0x4E98,
+ (q15_t)0x9AD9, (q15_t)0x4E70, (q15_t)0x9ABA, (q15_t)0x4E48,
+ (q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A7D, (q15_t)0x4DF9,
+ (q15_t)0x9A5F, (q15_t)0x4DD1, (q15_t)0x9A40, (q15_t)0x4DA9,
+ (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x9A03, (q15_t)0x4D59,
+ (q15_t)0x99E5, (q15_t)0x4D31, (q15_t)0x99C6, (q15_t)0x4D09,
+ (q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x998A, (q15_t)0x4CB8,
+ (q15_t)0x996C, (q15_t)0x4C90, (q15_t)0x994E, (q15_t)0x4C68,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9912, (q15_t)0x4C17,
+ (q15_t)0x98F4, (q15_t)0x4BEF, (q15_t)0x98D6, (q15_t)0x4BC6,
+ (q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x989B, (q15_t)0x4B75,
+ (q15_t)0x987D, (q15_t)0x4B4C, (q15_t)0x9860, (q15_t)0x4B24,
+ (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9825, (q15_t)0x4AD2,
+ (q15_t)0x9808, (q15_t)0x4AA9, (q15_t)0x97EA, (q15_t)0x4A81,
+ (q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x97B0, (q15_t)0x4A2F,
+ (q15_t)0x9793, (q15_t)0x4A06, (q15_t)0x9776, (q15_t)0x49DD,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x973C, (q15_t)0x498A,
+ (q15_t)0x971F, (q15_t)0x4961, (q15_t)0x9702, (q15_t)0x4938,
+ (q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96C9, (q15_t)0x48E6,
+ (q15_t)0x96AC, (q15_t)0x48BC, (q15_t)0x9690, (q15_t)0x4893,
+ (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9657, (q15_t)0x4840,
+ (q15_t)0x963B, (q15_t)0x4816, (q15_t)0x961E, (q15_t)0x47ED,
+ (q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95E6, (q15_t)0x479A,
+ (q15_t)0x95CA, (q15_t)0x4770, (q15_t)0x95AE, (q15_t)0x4746,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9576, (q15_t)0x46F3,
+ (q15_t)0x955A, (q15_t)0x46C9, (q15_t)0x953E, (q15_t)0x469F,
+ (q15_t)0x9523, (q15_t)0x4675, (q15_t)0x9507, (q15_t)0x464B,
+ (q15_t)0x94EC, (q15_t)0x4621, (q15_t)0x94D0, (q15_t)0x45F7,
+ (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9499, (q15_t)0x45A3,
+ (q15_t)0x947E, (q15_t)0x4578, (q15_t)0x9463, (q15_t)0x454E,
+ (q15_t)0x9447, (q15_t)0x4524, (q15_t)0x942C, (q15_t)0x44FA,
+ (q15_t)0x9411, (q15_t)0x44CF, (q15_t)0x93F6, (q15_t)0x44A5,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93C0, (q15_t)0x4450,
+ (q15_t)0x93A6, (q15_t)0x4425, (q15_t)0x938B, (q15_t)0x43FB,
+ (q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x9356, (q15_t)0x43A5,
+ (q15_t)0x933B, (q15_t)0x437B, (q15_t)0x9321, (q15_t)0x4350,
+ (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92EC, (q15_t)0x42FA,
+ (q15_t)0x92D2, (q15_t)0x42D0, (q15_t)0x92B7, (q15_t)0x42A5,
+ (q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9283, (q15_t)0x424F,
+ (q15_t)0x9269, (q15_t)0x4224, (q15_t)0x924F, (q15_t)0x41F9,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x921C, (q15_t)0x41A2,
+ (q15_t)0x9202, (q15_t)0x4177, (q15_t)0x91E8, (q15_t)0x414C,
+ (q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x91B5, (q15_t)0x40F6,
+ (q15_t)0x919C, (q15_t)0x40CA, (q15_t)0x9182, (q15_t)0x409F,
+ (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9150, (q15_t)0x4048,
+ (q15_t)0x9136, (q15_t)0x401D, (q15_t)0x911D, (q15_t)0x3FF1,
+ (q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90EB, (q15_t)0x3F9A,
+ (q15_t)0x90D2, (q15_t)0x3F6E, (q15_t)0x90B9, (q15_t)0x3F43,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x9088, (q15_t)0x3EEB,
+ (q15_t)0x906F, (q15_t)0x3EBF, (q15_t)0x9056, (q15_t)0x3E93,
+ (q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x9025, (q15_t)0x3E3C,
+ (q15_t)0x900D, (q15_t)0x3E10, (q15_t)0x8FF5, (q15_t)0x3DE4,
+ (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FC4, (q15_t)0x3D8C,
+ (q15_t)0x8FAC, (q15_t)0x3D60, (q15_t)0x8F94, (q15_t)0x3D33,
+ (q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F64, (q15_t)0x3CDB,
+ (q15_t)0x8F4C, (q15_t)0x3CAF, (q15_t)0x8F34, (q15_t)0x3C83,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8F05, (q15_t)0x3C2A,
+ (q15_t)0x8EED, (q15_t)0x3BFD, (q15_t)0x8ED6, (q15_t)0x3BD1,
+ (q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8EA7, (q15_t)0x3B78,
+ (q15_t)0x8E90, (q15_t)0x3B4C, (q15_t)0x8E79, (q15_t)0x3B1F,
+ (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E4A, (q15_t)0x3AC6,
+ (q15_t)0x8E33, (q15_t)0x3A99, (q15_t)0x8E1C, (q15_t)0x3A6C,
+ (q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DEE, (q15_t)0x3A13,
+ (q15_t)0x8DD8, (q15_t)0x39E6, (q15_t)0x8DC1, (q15_t)0x39B9,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D94, (q15_t)0x395F,
+ (q15_t)0x8D7D, (q15_t)0x3932, (q15_t)0x8D67, (q15_t)0x3906,
+ (q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D3A, (q15_t)0x38AB,
+ (q15_t)0x8D24, (q15_t)0x387E, (q15_t)0x8D0E, (q15_t)0x3851,
+ (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CE2, (q15_t)0x37F7,
+ (q15_t)0x8CCC, (q15_t)0x37CA, (q15_t)0x8CB6, (q15_t)0x379C,
+ (q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C8A, (q15_t)0x3742,
+ (q15_t)0x8C75, (q15_t)0x3714, (q15_t)0x8C5F, (q15_t)0x36E7,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C34, (q15_t)0x368C,
+ (q15_t)0x8C1F, (q15_t)0x365F, (q15_t)0x8C09, (q15_t)0x3631,
+ (q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BDF, (q15_t)0x35D6,
+ (q15_t)0x8BCA, (q15_t)0x35A8, (q15_t)0x8BB5, (q15_t)0x357B,
+ (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B8B, (q15_t)0x351F,
+ (q15_t)0x8B76, (q15_t)0x34F2, (q15_t)0x8B61, (q15_t)0x34C4,
+ (q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B38, (q15_t)0x3468,
+ (q15_t)0x8B24, (q15_t)0x343A, (q15_t)0x8B0F, (q15_t)0x340C,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AE6, (q15_t)0x33B0,
+ (q15_t)0x8AD2, (q15_t)0x3382, (q15_t)0x8ABE, (q15_t)0x3354,
+ (q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A96, (q15_t)0x32F8,
+ (q15_t)0x8A82, (q15_t)0x32CA, (q15_t)0x8A6E, (q15_t)0x329C,
+ (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A46, (q15_t)0x3240,
+ (q15_t)0x8A33, (q15_t)0x3211, (q15_t)0x8A1F, (q15_t)0x31E3,
+ (q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89F8, (q15_t)0x3186,
+ (q15_t)0x89E4, (q15_t)0x3158, (q15_t)0x89D1, (q15_t)0x312A,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x89AB, (q15_t)0x30CD,
+ (q15_t)0x8997, (q15_t)0x309E, (q15_t)0x8984, (q15_t)0x3070,
+ (q15_t)0x8971, (q15_t)0x3041, (q15_t)0x895F, (q15_t)0x3013,
+ (q15_t)0x894C, (q15_t)0x2FE4, (q15_t)0x8939, (q15_t)0x2FB5,
+ (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8914, (q15_t)0x2F58,
+ (q15_t)0x8901, (q15_t)0x2F29, (q15_t)0x88EF, (q15_t)0x2EFB,
+ (q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88CA, (q15_t)0x2E9D,
+ (q15_t)0x88B8, (q15_t)0x2E6E, (q15_t)0x88A5, (q15_t)0x2E3F,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8881, (q15_t)0x2DE2,
+ (q15_t)0x886F, (q15_t)0x2DB3, (q15_t)0x885D, (q15_t)0x2D84,
+ (q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x883A, (q15_t)0x2D26,
+ (q15_t)0x8828, (q15_t)0x2CF7, (q15_t)0x8816, (q15_t)0x2CC8,
+ (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87F3, (q15_t)0x2C69,
+ (q15_t)0x87E2, (q15_t)0x2C3A, (q15_t)0x87D1, (q15_t)0x2C0B,
+ (q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x87AE, (q15_t)0x2BAD,
+ (q15_t)0x879D, (q15_t)0x2B7D, (q15_t)0x878C, (q15_t)0x2B4E,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x876A, (q15_t)0x2AEF,
+ (q15_t)0x8759, (q15_t)0x2AC0, (q15_t)0x8749, (q15_t)0x2A91,
+ (q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8727, (q15_t)0x2A32,
+ (q15_t)0x8717, (q15_t)0x2A02, (q15_t)0x8706, (q15_t)0x29D3,
+ (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86E6, (q15_t)0x2974,
+ (q15_t)0x86D5, (q15_t)0x2944, (q15_t)0x86C5, (q15_t)0x2915,
+ (q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x86A5, (q15_t)0x28B5,
+ (q15_t)0x8695, (q15_t)0x2886, (q15_t)0x8685, (q15_t)0x2856,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8666, (q15_t)0x27F6,
+ (q15_t)0x8656, (q15_t)0x27C7, (q15_t)0x8646, (q15_t)0x2797,
+ (q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8627, (q15_t)0x2737,
+ (q15_t)0x8618, (q15_t)0x2707, (q15_t)0x8609, (q15_t)0x26D8,
+ (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85EA, (q15_t)0x2678,
+ (q15_t)0x85DB, (q15_t)0x2648, (q15_t)0x85CC, (q15_t)0x2618,
+ (q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85AF, (q15_t)0x25B8,
+ (q15_t)0x85A0, (q15_t)0x2588, (q15_t)0x8591, (q15_t)0x2558,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8574, (q15_t)0x24F7,
+ (q15_t)0x8565, (q15_t)0x24C7, (q15_t)0x8557, (q15_t)0x2497,
+ (q15_t)0x8549, (q15_t)0x2467, (q15_t)0x853A, (q15_t)0x2437,
+ (q15_t)0x852C, (q15_t)0x2407, (q15_t)0x851E, (q15_t)0x23D6,
+ (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x8502, (q15_t)0x2376,
+ (q15_t)0x84F4, (q15_t)0x2345, (q15_t)0x84E6, (q15_t)0x2315,
+ (q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84CB, (q15_t)0x22B4,
+ (q15_t)0x84BD, (q15_t)0x2284, (q15_t)0x84B0, (q15_t)0x2254,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8495, (q15_t)0x21F3,
+ (q15_t)0x8488, (q15_t)0x21C2, (q15_t)0x847B, (q15_t)0x2192,
+ (q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8460, (q15_t)0x2131,
+ (q15_t)0x8453, (q15_t)0x2100, (q15_t)0x8446, (q15_t)0x20D0,
+ (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x842D, (q15_t)0x206E,
+ (q15_t)0x8420, (q15_t)0x203E, (q15_t)0x8414, (q15_t)0x200D,
+ (q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83FA, (q15_t)0x1FAC,
+ (q15_t)0x83EE, (q15_t)0x1F7B, (q15_t)0x83E2, (q15_t)0x1F4A,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83C9, (q15_t)0x1EE9,
+ (q15_t)0x83BD, (q15_t)0x1EB8, (q15_t)0x83B1, (q15_t)0x1E87,
+ (q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x8399, (q15_t)0x1E25,
+ (q15_t)0x838E, (q15_t)0x1DF5, (q15_t)0x8382, (q15_t)0x1DC4,
+ (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x836B, (q15_t)0x1D62,
+ (q15_t)0x835F, (q15_t)0x1D31, (q15_t)0x8354, (q15_t)0x1D00,
+ (q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x833D, (q15_t)0x1C9E,
+ (q15_t)0x8332, (q15_t)0x1C6D, (q15_t)0x8327, (q15_t)0x1C3C,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8311, (q15_t)0x1BDA,
+ (q15_t)0x8306, (q15_t)0x1BA9, (q15_t)0x82FB, (q15_t)0x1B78,
+ (q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82E6, (q15_t)0x1B16,
+ (q15_t)0x82DB, (q15_t)0x1AE4, (q15_t)0x82D0, (q15_t)0x1AB3,
+ (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82BC, (q15_t)0x1A51,
+ (q15_t)0x82B1, (q15_t)0x1A20, (q15_t)0x82A7, (q15_t)0x19EF,
+ (q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8293, (q15_t)0x198C,
+ (q15_t)0x8289, (q15_t)0x195B, (q15_t)0x827F, (q15_t)0x192A,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x826B, (q15_t)0x18C7,
+ (q15_t)0x8262, (q15_t)0x1896, (q15_t)0x8258, (q15_t)0x1864,
+ (q15_t)0x824F, (q15_t)0x1833, (q15_t)0x8245, (q15_t)0x1802,
+ (q15_t)0x823C, (q15_t)0x17D0, (q15_t)0x8232, (q15_t)0x179F,
+ (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8220, (q15_t)0x173C,
+ (q15_t)0x8217, (q15_t)0x170A, (q15_t)0x820E, (q15_t)0x16D9,
+ (q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81FC, (q15_t)0x1676,
+ (q15_t)0x81F3, (q15_t)0x1645, (q15_t)0x81EB, (q15_t)0x1613,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D9, (q15_t)0x15B0,
+ (q15_t)0x81D1, (q15_t)0x157F, (q15_t)0x81C8, (q15_t)0x154D,
+ (q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B8, (q15_t)0x14EA,
+ (q15_t)0x81B0, (q15_t)0x14B8, (q15_t)0x81A8, (q15_t)0x1487,
+ (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8198, (q15_t)0x1423,
+ (q15_t)0x8190, (q15_t)0x13F2, (q15_t)0x8188, (q15_t)0x13C0,
+ (q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8179, (q15_t)0x135D,
+ (q15_t)0x8171, (q15_t)0x132B, (q15_t)0x816A, (q15_t)0x12F9,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x815B, (q15_t)0x1296,
+ (q15_t)0x8154, (q15_t)0x1264, (q15_t)0x814C, (q15_t)0x1232,
+ (q15_t)0x8145, (q15_t)0x1201, (q15_t)0x813E, (q15_t)0x11CF,
+ (q15_t)0x8137, (q15_t)0x119D, (q15_t)0x8130, (q15_t)0x116B,
+ (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x8123, (q15_t)0x1108,
+ (q15_t)0x811C, (q15_t)0x10D6, (q15_t)0x8116, (q15_t)0x10A4,
+ (q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8109, (q15_t)0x1040,
+ (q15_t)0x8102, (q15_t)0x100E, (q15_t)0x80FC, (q15_t)0x0FDD,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80F0, (q15_t)0x0F79,
+ (q15_t)0x80EA, (q15_t)0x0F47, (q15_t)0x80E4, (q15_t)0x0F15,
+ (q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D8, (q15_t)0x0EB1,
+ (q15_t)0x80D2, (q15_t)0x0E7F, (q15_t)0x80CD, (q15_t)0x0E4D,
+ (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80C2, (q15_t)0x0DE9,
+ (q15_t)0x80BC, (q15_t)0x0DB7, (q15_t)0x80B7, (q15_t)0x0D85,
+ (q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80AC, (q15_t)0x0D21,
+ (q15_t)0x80A7, (q15_t)0x0CEF, (q15_t)0x80A2, (q15_t)0x0CBD,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8098, (q15_t)0x0C59,
+ (q15_t)0x8094, (q15_t)0x0C27, (q15_t)0x808F, (q15_t)0x0BF5,
+ (q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8086, (q15_t)0x0B91,
+ (q15_t)0x8081, (q15_t)0x0B5F, (q15_t)0x807D, (q15_t)0x0B2D,
+ (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8074, (q15_t)0x0AC9,
+ (q15_t)0x8070, (q15_t)0x0A97, (q15_t)0x806C, (q15_t)0x0A65,
+ (q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8064, (q15_t)0x0A00,
+ (q15_t)0x8060, (q15_t)0x09CE, (q15_t)0x805C, (q15_t)0x099C,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8055, (q15_t)0x0938,
+ (q15_t)0x8051, (q15_t)0x0906, (q15_t)0x804E, (q15_t)0x08D4,
+ (q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8047, (q15_t)0x086F,
+ (q15_t)0x8043, (q15_t)0x083D, (q15_t)0x8040, (q15_t)0x080B,
+ (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x803A, (q15_t)0x07A7,
+ (q15_t)0x8037, (q15_t)0x0775, (q15_t)0x8034, (q15_t)0x0742,
+ (q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802F, (q15_t)0x06DE,
+ (q15_t)0x802C, (q15_t)0x06AC, (q15_t)0x8029, (q15_t)0x067A,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8025, (q15_t)0x0615,
+ (q15_t)0x8022, (q15_t)0x05E3, (q15_t)0x8020, (q15_t)0x05B1,
+ (q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801C, (q15_t)0x054C,
+ (q15_t)0x801A, (q15_t)0x051A, (q15_t)0x8018, (q15_t)0x04E8,
+ (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8014, (q15_t)0x0483,
+ (q15_t)0x8012, (q15_t)0x0451, (q15_t)0x8011, (q15_t)0x041F,
+ (q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800D, (q15_t)0x03BA,
+ (q15_t)0x800C, (q15_t)0x0388, (q15_t)0x800B, (q15_t)0x0356,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8008, (q15_t)0x02F1,
+ (q15_t)0x8007, (q15_t)0x02BF, (q15_t)0x8006, (q15_t)0x028D,
+ (q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8004, (q15_t)0x0228,
+ (q15_t)0x8003, (q15_t)0x01F6, (q15_t)0x8003, (q15_t)0x01C4,
+ (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x015F,
+ (q15_t)0x8001, (q15_t)0x012D, (q15_t)0x8000, (q15_t)0x00FB,
+ (q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0096,
+ (q15_t)0x8000, (q15_t)0x0064, (q15_t)0x8000, (q15_t)0x0032,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFFCD,
+ (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFF69,
+ (q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF04,
+ (q15_t)0x8001, (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFEA0,
+ (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE3B,
+ (q15_t)0x8003, (q15_t)0xFE09, (q15_t)0x8004, (q15_t)0xFDD7,
+ (q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8006, (q15_t)0xFD72,
+ (q15_t)0x8007, (q15_t)0xFD40, (q15_t)0x8008, (q15_t)0xFD0E,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800B, (q15_t)0xFCA9,
+ (q15_t)0x800C, (q15_t)0xFC77, (q15_t)0x800D, (q15_t)0xFC45,
+ (q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8011, (q15_t)0xFBE0,
+ (q15_t)0x8012, (q15_t)0xFBAE, (q15_t)0x8014, (q15_t)0xFB7C,
+ (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x8018, (q15_t)0xFB17,
+ (q15_t)0x801A, (q15_t)0xFAE5, (q15_t)0x801C, (q15_t)0xFAB3,
+ (q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8020, (q15_t)0xFA4E,
+ (q15_t)0x8022, (q15_t)0xFA1C, (q15_t)0x8025, (q15_t)0xF9EA,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8029, (q15_t)0xF985,
+ (q15_t)0x802C, (q15_t)0xF953, (q15_t)0x802F, (q15_t)0xF921,
+ (q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8034, (q15_t)0xF8BD,
+ (q15_t)0x8037, (q15_t)0xF88A, (q15_t)0x803A, (q15_t)0xF858,
+ (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8040, (q15_t)0xF7F4,
+ (q15_t)0x8043, (q15_t)0xF7C2, (q15_t)0x8047, (q15_t)0xF790,
+ (q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x804E, (q15_t)0xF72B,
+ (q15_t)0x8051, (q15_t)0xF6F9, (q15_t)0x8055, (q15_t)0xF6C7,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x805C, (q15_t)0xF663,
+ (q15_t)0x8060, (q15_t)0xF631, (q15_t)0x8064, (q15_t)0xF5FF,
+ (q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x806C, (q15_t)0xF59A,
+ (q15_t)0x8070, (q15_t)0xF568, (q15_t)0x8074, (q15_t)0xF536,
+ (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x807D, (q15_t)0xF4D2,
+ (q15_t)0x8081, (q15_t)0xF4A0, (q15_t)0x8086, (q15_t)0xF46E,
+ (q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x808F, (q15_t)0xF40A,
+ (q15_t)0x8094, (q15_t)0xF3D8, (q15_t)0x8098, (q15_t)0xF3A6,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A2, (q15_t)0xF342,
+ (q15_t)0x80A7, (q15_t)0xF310, (q15_t)0x80AC, (q15_t)0xF2DE,
+ (q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80B7, (q15_t)0xF27A,
+ (q15_t)0x80BC, (q15_t)0xF248, (q15_t)0x80C2, (q15_t)0xF216,
+ (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80CD, (q15_t)0xF1B2,
+ (q15_t)0x80D2, (q15_t)0xF180, (q15_t)0x80D8, (q15_t)0xF14E,
+ (q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80E4, (q15_t)0xF0EA,
+ (q15_t)0x80EA, (q15_t)0xF0B8, (q15_t)0x80F0, (q15_t)0xF086,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x80FC, (q15_t)0xF022,
+ (q15_t)0x8102, (q15_t)0xEFF1, (q15_t)0x8109, (q15_t)0xEFBF,
+ (q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x8116, (q15_t)0xEF5B,
+ (q15_t)0x811C, (q15_t)0xEF29, (q15_t)0x8123, (q15_t)0xEEF7,
+ (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8130, (q15_t)0xEE94,
+ (q15_t)0x8137, (q15_t)0xEE62, (q15_t)0x813E, (q15_t)0xEE30,
+ (q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x814C, (q15_t)0xEDCD,
+ (q15_t)0x8154, (q15_t)0xED9B, (q15_t)0x815B, (q15_t)0xED69,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x816A, (q15_t)0xED06,
+ (q15_t)0x8171, (q15_t)0xECD4, (q15_t)0x8179, (q15_t)0xECA2,
+ (q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8188, (q15_t)0xEC3F,
+ (q15_t)0x8190, (q15_t)0xEC0D, (q15_t)0x8198, (q15_t)0xEBDC,
+ (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81A8, (q15_t)0xEB78,
+ (q15_t)0x81B0, (q15_t)0xEB47, (q15_t)0x81B8, (q15_t)0xEB15,
+ (q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81C8, (q15_t)0xEAB2,
+ (q15_t)0x81D1, (q15_t)0xEA80, (q15_t)0x81D9, (q15_t)0xEA4F,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81EB, (q15_t)0xE9EC,
+ (q15_t)0x81F3, (q15_t)0xE9BA, (q15_t)0x81FC, (q15_t)0xE989,
+ (q15_t)0x8205, (q15_t)0xE957, (q15_t)0x820E, (q15_t)0xE926,
+ (q15_t)0x8217, (q15_t)0xE8F5, (q15_t)0x8220, (q15_t)0xE8C3,
+ (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x8232, (q15_t)0xE860,
+ (q15_t)0x823C, (q15_t)0xE82F, (q15_t)0x8245, (q15_t)0xE7FD,
+ (q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8258, (q15_t)0xE79B,
+ (q15_t)0x8262, (q15_t)0xE769, (q15_t)0x826B, (q15_t)0xE738,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x827F, (q15_t)0xE6D5,
+ (q15_t)0x8289, (q15_t)0xE6A4, (q15_t)0x8293, (q15_t)0xE673,
+ (q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82A7, (q15_t)0xE610,
+ (q15_t)0x82B1, (q15_t)0xE5DF, (q15_t)0x82BC, (q15_t)0xE5AE,
+ (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82D0, (q15_t)0xE54C,
+ (q15_t)0x82DB, (q15_t)0xE51B, (q15_t)0x82E6, (q15_t)0xE4E9,
+ (q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x82FB, (q15_t)0xE487,
+ (q15_t)0x8306, (q15_t)0xE456, (q15_t)0x8311, (q15_t)0xE425,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8327, (q15_t)0xE3C3,
+ (q15_t)0x8332, (q15_t)0xE392, (q15_t)0x833D, (q15_t)0xE361,
+ (q15_t)0x8348, (q15_t)0xE330, (q15_t)0x8354, (q15_t)0xE2FF,
+ (q15_t)0x835F, (q15_t)0xE2CE, (q15_t)0x836B, (q15_t)0xE29D,
+ (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x8382, (q15_t)0xE23B,
+ (q15_t)0x838E, (q15_t)0xE20A, (q15_t)0x8399, (q15_t)0xE1DA,
+ (q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83B1, (q15_t)0xE178,
+ (q15_t)0x83BD, (q15_t)0xE147, (q15_t)0x83C9, (q15_t)0xE116,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83E2, (q15_t)0xE0B5,
+ (q15_t)0x83EE, (q15_t)0xE084, (q15_t)0x83FA, (q15_t)0xE053,
+ (q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8414, (q15_t)0xDFF2,
+ (q15_t)0x8420, (q15_t)0xDFC1, (q15_t)0x842D, (q15_t)0xDF91,
+ (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8446, (q15_t)0xDF2F,
+ (q15_t)0x8453, (q15_t)0xDEFF, (q15_t)0x8460, (q15_t)0xDECE,
+ (q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x847B, (q15_t)0xDE6D,
+ (q15_t)0x8488, (q15_t)0xDE3D, (q15_t)0x8495, (q15_t)0xDE0C,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84B0, (q15_t)0xDDAB,
+ (q15_t)0x84BD, (q15_t)0xDD7B, (q15_t)0x84CB, (q15_t)0xDD4B,
+ (q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84E6, (q15_t)0xDCEA,
+ (q15_t)0x84F4, (q15_t)0xDCBA, (q15_t)0x8502, (q15_t)0xDC89,
+ (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x851E, (q15_t)0xDC29,
+ (q15_t)0x852C, (q15_t)0xDBF8, (q15_t)0x853A, (q15_t)0xDBC8,
+ (q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8557, (q15_t)0xDB68,
+ (q15_t)0x8565, (q15_t)0xDB38, (q15_t)0x8574, (q15_t)0xDB08,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8591, (q15_t)0xDAA7,
+ (q15_t)0x85A0, (q15_t)0xDA77, (q15_t)0x85AF, (q15_t)0xDA47,
+ (q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85CC, (q15_t)0xD9E7,
+ (q15_t)0x85DB, (q15_t)0xD9B7, (q15_t)0x85EA, (q15_t)0xD987,
+ (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8609, (q15_t)0xD927,
+ (q15_t)0x8618, (q15_t)0xD8F8, (q15_t)0x8627, (q15_t)0xD8C8,
+ (q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8646, (q15_t)0xD868,
+ (q15_t)0x8656, (q15_t)0xD838, (q15_t)0x8666, (q15_t)0xD809,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8685, (q15_t)0xD7A9,
+ (q15_t)0x8695, (q15_t)0xD779, (q15_t)0x86A5, (q15_t)0xD74A,
+ (q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86C5, (q15_t)0xD6EA,
+ (q15_t)0x86D5, (q15_t)0xD6BB, (q15_t)0x86E6, (q15_t)0xD68B,
+ (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8706, (q15_t)0xD62C,
+ (q15_t)0x8717, (q15_t)0xD5FD, (q15_t)0x8727, (q15_t)0xD5CD,
+ (q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8749, (q15_t)0xD56E,
+ (q15_t)0x8759, (q15_t)0xD53F, (q15_t)0x876A, (q15_t)0xD510,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x878C, (q15_t)0xD4B1,
+ (q15_t)0x879D, (q15_t)0xD482, (q15_t)0x87AE, (q15_t)0xD452,
+ (q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87D1, (q15_t)0xD3F4,
+ (q15_t)0x87E2, (q15_t)0xD3C5, (q15_t)0x87F3, (q15_t)0xD396,
+ (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8816, (q15_t)0xD337,
+ (q15_t)0x8828, (q15_t)0xD308, (q15_t)0x883A, (q15_t)0xD2D9,
+ (q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x885D, (q15_t)0xD27B,
+ (q15_t)0x886F, (q15_t)0xD24C, (q15_t)0x8881, (q15_t)0xD21D,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88A5, (q15_t)0xD1C0,
+ (q15_t)0x88B8, (q15_t)0xD191, (q15_t)0x88CA, (q15_t)0xD162,
+ (q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x88EF, (q15_t)0xD104,
+ (q15_t)0x8901, (q15_t)0xD0D6, (q15_t)0x8914, (q15_t)0xD0A7,
+ (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8939, (q15_t)0xD04A,
+ (q15_t)0x894C, (q15_t)0xD01B, (q15_t)0x895F, (q15_t)0xCFEC,
+ (q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8984, (q15_t)0xCF8F,
+ (q15_t)0x8997, (q15_t)0xCF61, (q15_t)0x89AB, (q15_t)0xCF32,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89D1, (q15_t)0xCED5,
+ (q15_t)0x89E4, (q15_t)0xCEA7, (q15_t)0x89F8, (q15_t)0xCE79,
+ (q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A1F, (q15_t)0xCE1C,
+ (q15_t)0x8A33, (q15_t)0xCDEE, (q15_t)0x8A46, (q15_t)0xCDBF,
+ (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A6E, (q15_t)0xCD63,
+ (q15_t)0x8A82, (q15_t)0xCD35, (q15_t)0x8A96, (q15_t)0xCD07,
+ (q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8ABE, (q15_t)0xCCAB,
+ (q15_t)0x8AD2, (q15_t)0xCC7D, (q15_t)0x8AE6, (q15_t)0xCC4F,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B0F, (q15_t)0xCBF3,
+ (q15_t)0x8B24, (q15_t)0xCBC5, (q15_t)0x8B38, (q15_t)0xCB97,
+ (q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B61, (q15_t)0xCB3B,
+ (q15_t)0x8B76, (q15_t)0xCB0D, (q15_t)0x8B8B, (q15_t)0xCAE0,
+ (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BB5, (q15_t)0xCA84,
+ (q15_t)0x8BCA, (q15_t)0xCA57, (q15_t)0x8BDF, (q15_t)0xCA29,
+ (q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C09, (q15_t)0xC9CE,
+ (q15_t)0x8C1F, (q15_t)0xC9A0, (q15_t)0x8C34, (q15_t)0xC973,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C5F, (q15_t)0xC918,
+ (q15_t)0x8C75, (q15_t)0xC8EB, (q15_t)0x8C8A, (q15_t)0xC8BD,
+ (q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CB6, (q15_t)0xC863,
+ (q15_t)0x8CCC, (q15_t)0xC835, (q15_t)0x8CE2, (q15_t)0xC808,
+ (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D0E, (q15_t)0xC7AE,
+ (q15_t)0x8D24, (q15_t)0xC781, (q15_t)0x8D3A, (q15_t)0xC754,
+ (q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D67, (q15_t)0xC6F9,
+ (q15_t)0x8D7D, (q15_t)0xC6CD, (q15_t)0x8D94, (q15_t)0xC6A0,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DC1, (q15_t)0xC646,
+ (q15_t)0x8DD8, (q15_t)0xC619, (q15_t)0x8DEE, (q15_t)0xC5EC,
+ (q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E1C, (q15_t)0xC593,
+ (q15_t)0x8E33, (q15_t)0xC566, (q15_t)0x8E4A, (q15_t)0xC539,
+ (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E79, (q15_t)0xC4E0,
+ (q15_t)0x8E90, (q15_t)0xC4B3, (q15_t)0x8EA7, (q15_t)0xC487,
+ (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8ED6, (q15_t)0xC42E,
+ (q15_t)0x8EED, (q15_t)0xC402, (q15_t)0x8F05, (q15_t)0xC3D5,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F34, (q15_t)0xC37C,
+ (q15_t)0x8F4C, (q15_t)0xC350, (q15_t)0x8F64, (q15_t)0xC324,
+ (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8F94, (q15_t)0xC2CC,
+ (q15_t)0x8FAC, (q15_t)0xC29F, (q15_t)0x8FC4, (q15_t)0xC273,
+ (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x8FF5, (q15_t)0xC21B,
+ (q15_t)0x900D, (q15_t)0xC1EF, (q15_t)0x9025, (q15_t)0xC1C3,
+ (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x9056, (q15_t)0xC16C,
+ (q15_t)0x906F, (q15_t)0xC140, (q15_t)0x9088, (q15_t)0xC114,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90B9, (q15_t)0xC0BC,
+ (q15_t)0x90D2, (q15_t)0xC091, (q15_t)0x90EB, (q15_t)0xC065,
+ (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x911D, (q15_t)0xC00E,
+ (q15_t)0x9136, (q15_t)0xBFE2, (q15_t)0x9150, (q15_t)0xBFB7,
+ (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x9182, (q15_t)0xBF60,
+ (q15_t)0x919C, (q15_t)0xBF35, (q15_t)0x91B5, (q15_t)0xBF09,
+ (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x91E8, (q15_t)0xBEB3,
+ (q15_t)0x9202, (q15_t)0xBE88, (q15_t)0x921C, (q15_t)0xBE5D,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x924F, (q15_t)0xBE06,
+ (q15_t)0x9269, (q15_t)0xBDDB, (q15_t)0x9283, (q15_t)0xBDB0,
+ (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92B7, (q15_t)0xBD5A,
+ (q15_t)0x92D2, (q15_t)0xBD2F, (q15_t)0x92EC, (q15_t)0xBD05,
+ (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9321, (q15_t)0xBCAF,
+ (q15_t)0x933B, (q15_t)0xBC84, (q15_t)0x9356, (q15_t)0xBC5A,
+ (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x938B, (q15_t)0xBC04,
+ (q15_t)0x93A6, (q15_t)0xBBDA, (q15_t)0x93C0, (q15_t)0xBBAF,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x93F6, (q15_t)0xBB5A,
+ (q15_t)0x9411, (q15_t)0xBB30, (q15_t)0x942C, (q15_t)0xBB05,
+ (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x9463, (q15_t)0xBAB1,
+ (q15_t)0x947E, (q15_t)0xBA87, (q15_t)0x9499, (q15_t)0xBA5C,
+ (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94D0, (q15_t)0xBA08,
+ (q15_t)0x94EC, (q15_t)0xB9DE, (q15_t)0x9507, (q15_t)0xB9B4,
+ (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x953E, (q15_t)0xB960,
+ (q15_t)0x955A, (q15_t)0xB936, (q15_t)0x9576, (q15_t)0xB90C,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95AE, (q15_t)0xB8B9,
+ (q15_t)0x95CA, (q15_t)0xB88F, (q15_t)0x95E6, (q15_t)0xB865,
+ (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x961E, (q15_t)0xB812,
+ (q15_t)0x963B, (q15_t)0xB7E9, (q15_t)0x9657, (q15_t)0xB7BF,
+ (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x9690, (q15_t)0xB76C,
+ (q15_t)0x96AC, (q15_t)0xB743, (q15_t)0x96C9, (q15_t)0xB719,
+ (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x9702, (q15_t)0xB6C7,
+ (q15_t)0x971F, (q15_t)0xB69E, (q15_t)0x973C, (q15_t)0xB675,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9776, (q15_t)0xB622,
+ (q15_t)0x9793, (q15_t)0xB5F9, (q15_t)0x97B0, (q15_t)0xB5D0,
+ (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x97EA, (q15_t)0xB57E,
+ (q15_t)0x9808, (q15_t)0xB556, (q15_t)0x9825, (q15_t)0xB52D,
+ (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x9860, (q15_t)0xB4DB,
+ (q15_t)0x987D, (q15_t)0xB4B3, (q15_t)0x989B, (q15_t)0xB48A,
+ (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98D6, (q15_t)0xB439,
+ (q15_t)0x98F4, (q15_t)0xB410, (q15_t)0x9912, (q15_t)0xB3E8,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x994E, (q15_t)0xB397,
+ (q15_t)0x996C, (q15_t)0xB36F, (q15_t)0x998A, (q15_t)0xB347,
+ (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99C6, (q15_t)0xB2F6,
+ (q15_t)0x99E5, (q15_t)0xB2CE, (q15_t)0x9A03, (q15_t)0xB2A6,
+ (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A40, (q15_t)0xB256,
+ (q15_t)0x9A5F, (q15_t)0xB22E, (q15_t)0x9A7D, (q15_t)0xB206,
+ (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9ABA, (q15_t)0xB1B7,
+ (q15_t)0x9AD9, (q15_t)0xB18F, (q15_t)0x9AF8, (q15_t)0xB167,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B36, (q15_t)0xB118,
+ (q15_t)0x9B55, (q15_t)0xB0F0, (q15_t)0x9B74, (q15_t)0xB0C9,
+ (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BB2, (q15_t)0xB07A,
+ (q15_t)0x9BD2, (q15_t)0xB053, (q15_t)0x9BF1, (q15_t)0xB02B,
+ (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C30, (q15_t)0xAFDD,
+ (q15_t)0x9C4F, (q15_t)0xAFB6, (q15_t)0x9C6F, (q15_t)0xAF8F,
+ (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CAE, (q15_t)0xAF40,
+ (q15_t)0x9CCE, (q15_t)0xAF1A, (q15_t)0x9CEE, (q15_t)0xAEF3,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D2D, (q15_t)0xAEA5,
+ (q15_t)0x9D4D, (q15_t)0xAE7E, (q15_t)0x9D6D, (q15_t)0xAE57,
+ (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DAE, (q15_t)0xAE0A,
+ (q15_t)0x9DCE, (q15_t)0xADE3, (q15_t)0x9DEE, (q15_t)0xADBD,
+ (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E2F, (q15_t)0xAD70,
+ (q15_t)0x9E4F, (q15_t)0xAD4A, (q15_t)0x9E70, (q15_t)0xAD23,
+ (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9EB1, (q15_t)0xACD7,
+ (q15_t)0x9ED2, (q15_t)0xACB1, (q15_t)0x9EF2, (q15_t)0xAC8A,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F34, (q15_t)0xAC3E,
+ (q15_t)0x9F55, (q15_t)0xAC18, (q15_t)0x9F76, (q15_t)0xABF2,
+ (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FB8, (q15_t)0xABA7,
+ (q15_t)0x9FD9, (q15_t)0xAB81, (q15_t)0x9FFB, (q15_t)0xAB5B,
+ (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA03D, (q15_t)0xAB10,
+ (q15_t)0xA05F, (q15_t)0xAAEA, (q15_t)0xA080, (q15_t)0xAAC5,
+ (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0C3, (q15_t)0xAA7A,
+ (q15_t)0xA0E5, (q15_t)0xAA54, (q15_t)0xA106, (q15_t)0xAA2F,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA14A, (q15_t)0xA9E5,
+ (q15_t)0xA16C, (q15_t)0xA9BF, (q15_t)0xA18E, (q15_t)0xA99A,
+ (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1D2, (q15_t)0xA950,
+ (q15_t)0xA1F4, (q15_t)0xA92B, (q15_t)0xA216, (q15_t)0xA906,
+ (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA25A, (q15_t)0xA8BD,
+ (q15_t)0xA27C, (q15_t)0xA898, (q15_t)0xA29F, (q15_t)0xA873,
+ (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA2E4, (q15_t)0xA82A,
+ (q15_t)0xA306, (q15_t)0xA806, (q15_t)0xA329, (q15_t)0xA7E1,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA36E, (q15_t)0xA798,
+ (q15_t)0xA391, (q15_t)0xA774, (q15_t)0xA3B4, (q15_t)0xA750,
+ (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA3F9, (q15_t)0xA707,
+ (q15_t)0xA41C, (q15_t)0xA6E3, (q15_t)0xA43F, (q15_t)0xA6BF,
+ (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA486, (q15_t)0xA677,
+ (q15_t)0xA4A9, (q15_t)0xA653, (q15_t)0xA4CC, (q15_t)0xA62F,
+ (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA513, (q15_t)0xA5E8,
+ (q15_t)0xA536, (q15_t)0xA5C4, (q15_t)0xA55A, (q15_t)0xA5A1,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5A1, (q15_t)0xA55A,
+ (q15_t)0xA5C4, (q15_t)0xA536, (q15_t)0xA5E8, (q15_t)0xA513,
+ (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA62F, (q15_t)0xA4CC,
+ (q15_t)0xA653, (q15_t)0xA4A9, (q15_t)0xA677, (q15_t)0xA486,
+ (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6BF, (q15_t)0xA43F,
+ (q15_t)0xA6E3, (q15_t)0xA41C, (q15_t)0xA707, (q15_t)0xA3F9,
+ (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA750, (q15_t)0xA3B4,
+ (q15_t)0xA774, (q15_t)0xA391, (q15_t)0xA798, (q15_t)0xA36E,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA7E1, (q15_t)0xA329,
+ (q15_t)0xA806, (q15_t)0xA306, (q15_t)0xA82A, (q15_t)0xA2E4,
+ (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA873, (q15_t)0xA29F,
+ (q15_t)0xA898, (q15_t)0xA27C, (q15_t)0xA8BD, (q15_t)0xA25A,
+ (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA906, (q15_t)0xA216,
+ (q15_t)0xA92B, (q15_t)0xA1F4, (q15_t)0xA950, (q15_t)0xA1D2,
+ (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA99A, (q15_t)0xA18E,
+ (q15_t)0xA9BF, (q15_t)0xA16C, (q15_t)0xA9E5, (q15_t)0xA14A,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA2F, (q15_t)0xA106,
+ (q15_t)0xAA54, (q15_t)0xA0E5, (q15_t)0xAA7A, (q15_t)0xA0C3,
+ (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAC5, (q15_t)0xA080,
+ (q15_t)0xAAEA, (q15_t)0xA05F, (q15_t)0xAB10, (q15_t)0xA03D,
+ (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB5B, (q15_t)0x9FFB,
+ (q15_t)0xAB81, (q15_t)0x9FD9, (q15_t)0xABA7, (q15_t)0x9FB8,
+ (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xABF2, (q15_t)0x9F76,
+ (q15_t)0xAC18, (q15_t)0x9F55, (q15_t)0xAC3E, (q15_t)0x9F34,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAC8A, (q15_t)0x9EF2,
+ (q15_t)0xACB1, (q15_t)0x9ED2, (q15_t)0xACD7, (q15_t)0x9EB1,
+ (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD23, (q15_t)0x9E70,
+ (q15_t)0xAD4A, (q15_t)0x9E4F, (q15_t)0xAD70, (q15_t)0x9E2F,
+ (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADBD, (q15_t)0x9DEE,
+ (q15_t)0xADE3, (q15_t)0x9DCE, (q15_t)0xAE0A, (q15_t)0x9DAE,
+ (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE57, (q15_t)0x9D6D,
+ (q15_t)0xAE7E, (q15_t)0x9D4D, (q15_t)0xAEA5, (q15_t)0x9D2D,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAEF3, (q15_t)0x9CEE,
+ (q15_t)0xAF1A, (q15_t)0x9CCE, (q15_t)0xAF40, (q15_t)0x9CAE,
+ (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAF8F, (q15_t)0x9C6F,
+ (q15_t)0xAFB6, (q15_t)0x9C4F, (q15_t)0xAFDD, (q15_t)0x9C30,
+ (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB02B, (q15_t)0x9BF1,
+ (q15_t)0xB053, (q15_t)0x9BD2, (q15_t)0xB07A, (q15_t)0x9BB2,
+ (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0C9, (q15_t)0x9B74,
+ (q15_t)0xB0F0, (q15_t)0x9B55, (q15_t)0xB118, (q15_t)0x9B36,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB167, (q15_t)0x9AF8,
+ (q15_t)0xB18F, (q15_t)0x9AD9, (q15_t)0xB1B7, (q15_t)0x9ABA,
+ (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB206, (q15_t)0x9A7D,
+ (q15_t)0xB22E, (q15_t)0x9A5F, (q15_t)0xB256, (q15_t)0x9A40,
+ (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2A6, (q15_t)0x9A03,
+ (q15_t)0xB2CE, (q15_t)0x99E5, (q15_t)0xB2F6, (q15_t)0x99C6,
+ (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB347, (q15_t)0x998A,
+ (q15_t)0xB36F, (q15_t)0x996C, (q15_t)0xB397, (q15_t)0x994E,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB3E8, (q15_t)0x9912,
+ (q15_t)0xB410, (q15_t)0x98F4, (q15_t)0xB439, (q15_t)0x98D6,
+ (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB48A, (q15_t)0x989B,
+ (q15_t)0xB4B3, (q15_t)0x987D, (q15_t)0xB4DB, (q15_t)0x9860,
+ (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB52D, (q15_t)0x9825,
+ (q15_t)0xB556, (q15_t)0x9808, (q15_t)0xB57E, (q15_t)0x97EA,
+ (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5D0, (q15_t)0x97B0,
+ (q15_t)0xB5F9, (q15_t)0x9793, (q15_t)0xB622, (q15_t)0x9776,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB675, (q15_t)0x973C,
+ (q15_t)0xB69E, (q15_t)0x971F, (q15_t)0xB6C7, (q15_t)0x9702,
+ (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB719, (q15_t)0x96C9,
+ (q15_t)0xB743, (q15_t)0x96AC, (q15_t)0xB76C, (q15_t)0x9690,
+ (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7BF, (q15_t)0x9657,
+ (q15_t)0xB7E9, (q15_t)0x963B, (q15_t)0xB812, (q15_t)0x961E,
+ (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB865, (q15_t)0x95E6,
+ (q15_t)0xB88F, (q15_t)0x95CA, (q15_t)0xB8B9, (q15_t)0x95AE,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB90C, (q15_t)0x9576,
+ (q15_t)0xB936, (q15_t)0x955A, (q15_t)0xB960, (q15_t)0x953E,
+ (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9B4, (q15_t)0x9507,
+ (q15_t)0xB9DE, (q15_t)0x94EC, (q15_t)0xBA08, (q15_t)0x94D0,
+ (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA5C, (q15_t)0x9499,
+ (q15_t)0xBA87, (q15_t)0x947E, (q15_t)0xBAB1, (q15_t)0x9463,
+ (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB05, (q15_t)0x942C,
+ (q15_t)0xBB30, (q15_t)0x9411, (q15_t)0xBB5A, (q15_t)0x93F6,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBAF, (q15_t)0x93C0,
+ (q15_t)0xBBDA, (q15_t)0x93A6, (q15_t)0xBC04, (q15_t)0x938B,
+ (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC5A, (q15_t)0x9356,
+ (q15_t)0xBC84, (q15_t)0x933B, (q15_t)0xBCAF, (q15_t)0x9321,
+ (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD05, (q15_t)0x92EC,
+ (q15_t)0xBD2F, (q15_t)0x92D2, (q15_t)0xBD5A, (q15_t)0x92B7,
+ (q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDB0, (q15_t)0x9283,
+ (q15_t)0xBDDB, (q15_t)0x9269, (q15_t)0xBE06, (q15_t)0x924F,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE5D, (q15_t)0x921C,
+ (q15_t)0xBE88, (q15_t)0x9202, (q15_t)0xBEB3, (q15_t)0x91E8,
+ (q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF09, (q15_t)0x91B5,
+ (q15_t)0xBF35, (q15_t)0x919C, (q15_t)0xBF60, (q15_t)0x9182,
+ (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFB7, (q15_t)0x9150,
+ (q15_t)0xBFE2, (q15_t)0x9136, (q15_t)0xC00E, (q15_t)0x911D,
+ (q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC065, (q15_t)0x90EB,
+ (q15_t)0xC091, (q15_t)0x90D2, (q15_t)0xC0BC, (q15_t)0x90B9,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC114, (q15_t)0x9088,
+ (q15_t)0xC140, (q15_t)0x906F, (q15_t)0xC16C, (q15_t)0x9056,
+ (q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1C3, (q15_t)0x9025,
+ (q15_t)0xC1EF, (q15_t)0x900D, (q15_t)0xC21B, (q15_t)0x8FF5,
+ (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC273, (q15_t)0x8FC4,
+ (q15_t)0xC29F, (q15_t)0x8FAC, (q15_t)0xC2CC, (q15_t)0x8F94,
+ (q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC324, (q15_t)0x8F64,
+ (q15_t)0xC350, (q15_t)0x8F4C, (q15_t)0xC37C, (q15_t)0x8F34,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC3D5, (q15_t)0x8F05,
+ (q15_t)0xC402, (q15_t)0x8EED, (q15_t)0xC42E, (q15_t)0x8ED6,
+ (q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC487, (q15_t)0x8EA7,
+ (q15_t)0xC4B3, (q15_t)0x8E90, (q15_t)0xC4E0, (q15_t)0x8E79,
+ (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC539, (q15_t)0x8E4A,
+ (q15_t)0xC566, (q15_t)0x8E33, (q15_t)0xC593, (q15_t)0x8E1C,
+ (q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC5EC, (q15_t)0x8DEE,
+ (q15_t)0xC619, (q15_t)0x8DD8, (q15_t)0xC646, (q15_t)0x8DC1,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6A0, (q15_t)0x8D94,
+ (q15_t)0xC6CD, (q15_t)0x8D7D, (q15_t)0xC6F9, (q15_t)0x8D67,
+ (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC754, (q15_t)0x8D3A,
+ (q15_t)0xC781, (q15_t)0x8D24, (q15_t)0xC7AE, (q15_t)0x8D0E,
+ (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC808, (q15_t)0x8CE2,
+ (q15_t)0xC835, (q15_t)0x8CCC, (q15_t)0xC863, (q15_t)0x8CB6,
+ (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8BD, (q15_t)0x8C8A,
+ (q15_t)0xC8EB, (q15_t)0x8C75, (q15_t)0xC918, (q15_t)0x8C5F,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC973, (q15_t)0x8C34,
+ (q15_t)0xC9A0, (q15_t)0x8C1F, (q15_t)0xC9CE, (q15_t)0x8C09,
+ (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA29, (q15_t)0x8BDF,
+ (q15_t)0xCA57, (q15_t)0x8BCA, (q15_t)0xCA84, (q15_t)0x8BB5,
+ (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCAE0, (q15_t)0x8B8B,
+ (q15_t)0xCB0D, (q15_t)0x8B76, (q15_t)0xCB3B, (q15_t)0x8B61,
+ (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCB97, (q15_t)0x8B38,
+ (q15_t)0xCBC5, (q15_t)0x8B24, (q15_t)0xCBF3, (q15_t)0x8B0F,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC4F, (q15_t)0x8AE6,
+ (q15_t)0xCC7D, (q15_t)0x8AD2, (q15_t)0xCCAB, (q15_t)0x8ABE,
+ (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD07, (q15_t)0x8A96,
+ (q15_t)0xCD35, (q15_t)0x8A82, (q15_t)0xCD63, (q15_t)0x8A6E,
+ (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDBF, (q15_t)0x8A46,
+ (q15_t)0xCDEE, (q15_t)0x8A33, (q15_t)0xCE1C, (q15_t)0x8A1F,
+ (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCE79, (q15_t)0x89F8,
+ (q15_t)0xCEA7, (q15_t)0x89E4, (q15_t)0xCED5, (q15_t)0x89D1,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF32, (q15_t)0x89AB,
+ (q15_t)0xCF61, (q15_t)0x8997, (q15_t)0xCF8F, (q15_t)0x8984,
+ (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xCFEC, (q15_t)0x895F,
+ (q15_t)0xD01B, (q15_t)0x894C, (q15_t)0xD04A, (q15_t)0x8939,
+ (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0A7, (q15_t)0x8914,
+ (q15_t)0xD0D6, (q15_t)0x8901, (q15_t)0xD104, (q15_t)0x88EF,
+ (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD162, (q15_t)0x88CA,
+ (q15_t)0xD191, (q15_t)0x88B8, (q15_t)0xD1C0, (q15_t)0x88A5,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD21D, (q15_t)0x8881,
+ (q15_t)0xD24C, (q15_t)0x886F, (q15_t)0xD27B, (q15_t)0x885D,
+ (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD2D9, (q15_t)0x883A,
+ (q15_t)0xD308, (q15_t)0x8828, (q15_t)0xD337, (q15_t)0x8816,
+ (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3,
+ (q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1,
+ (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE,
+ (q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A,
+ (q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749,
+ (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727,
+ (q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706,
+ (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6,
+ (q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5,
+ (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5,
+ (q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666,
+ (q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646,
+ (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627,
+ (q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609,
+ (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA,
+ (q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC,
+ (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF,
+ (q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574,
+ (q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557,
+ (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A,
+ (q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E,
+ (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502,
+ (q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6,
+ (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB,
+ (q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495,
+ (q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B,
+ (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460,
+ (q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446,
+ (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D,
+ (q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414,
+ (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA,
+ (q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9,
+ (q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1,
+ (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399,
+ (q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382,
+ (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B,
+ (q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354,
+ (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D,
+ (q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311,
+ (q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB,
+ (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6,
+ (q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0,
+ (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC,
+ (q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7,
+ (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293,
+ (q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B,
+ (q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258,
+ (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245,
+ (q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232,
+ (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220,
+ (q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E,
+ (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC,
+ (q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9,
+ (q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8,
+ (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8,
+ (q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8,
+ (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198,
+ (q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188,
+ (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179,
+ (q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B,
+ (q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C,
+ (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E,
+ (q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130,
+ (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123,
+ (q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116,
+ (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109,
+ (q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0,
+ (q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4,
+ (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8,
+ (q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD,
+ (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2,
+ (q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7,
+ (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC,
+ (q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098,
+ (q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F,
+ (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086,
+ (q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D,
+ (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074,
+ (q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C,
+ (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064,
+ (q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055,
+ (q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E,
+ (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047,
+ (q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040,
+ (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A,
+ (q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034,
+ (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F,
+ (q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025,
+ (q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020,
+ (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C,
+ (q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018,
+ (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014,
+ (q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011,
+ (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D,
+ (q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008,
+ (q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006,
+ (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004,
+ (q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003,
+ (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001,
+ (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000,
+ (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000,
+ (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+ @} end of CFFT_CIFFT group
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16)
+
+const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH] =
+{
+ /* radix 4, size 12 */
+ 8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32)
+const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH] =
+{
+ /* 4x2, size 24 */
+ 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+ 88,208, 104,176, 120,240, 152,200, 184,232
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64)
+const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH] =
+{
+ /* radix 4, size 56 */
+ 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+ 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+ 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128)
+const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH] =
+{
+ /* 4x2, size 112 */
+ 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+ 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+ 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+ 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+ 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+ 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256)
+const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH] =
+{
+ /* radix 4, size 240 */
+ 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+ 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+ 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+ 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+ 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+ 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+ 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+ 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+ 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+ 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+ 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+ 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+ 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+ 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512)
+const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH] =
+{
+ /* 4x2, size 480 */
+ 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+ 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+ 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+ 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+ 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+ 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+ 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+ 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+ 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+ 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+ 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+ 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+ 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+ 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+ 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+ 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+ 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+ 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+ 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+ 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+ 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+ 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+ 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+ 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+ 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+ 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+ 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+ 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+ 3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024)
+const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH] =
+{
+ /* radix 4, size 992 */
+ 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+ 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+ 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+ 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+ 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+ 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+ 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+ 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+ 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+ 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+ 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+ 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+ 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+ 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+ 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+ 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+ 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+ 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+ 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+ 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+ 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+ 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+ 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+ 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+ 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+ 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+ 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+ 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+ 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+ 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+ 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+ 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+ 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+ 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+ 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+ 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+ 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+ 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+ 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+ 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+ 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+ 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+ 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+ 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+ 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+ 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+ 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+ 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+ 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+ 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+ 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+ 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+ 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+ 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+ 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+ 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+ 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+ 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+ 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+ 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+ 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+ 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+ 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+ 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+ 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+ 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+ 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+ 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+ 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048)
+const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH] =
+{
+ /* 4x2, size 1984 */
+ 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+ 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+ 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+ 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+ 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+ 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+ 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+ 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+ 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+ 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+ 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+ 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+ 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+ 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+ 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+ 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+ 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+ 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+ 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+ 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+ 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+ 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+ 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+ 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+ 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+ 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+ 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+ 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+ 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+ 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+ 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+ 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+ 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+ 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+ 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+ 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+ 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+ 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+ 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+ 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+ 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+ 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+ 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+ 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+ 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+ 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+ 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+ 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+ 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+ 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+ 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+ 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+ 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+ 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+ 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+ 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+ 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+ 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+ 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+ 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+ 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+ 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+ 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+ 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+ 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+ 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+ 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+ 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+ 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+ 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+ 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+ 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+ 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+ 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+ 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+ 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+ 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+ 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+ 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+ 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+ 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+ 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+ 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+ 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+ 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+ 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+ 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+ 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+ 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+ 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+ 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+ 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+ 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+ 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+ 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+ 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+ 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+ 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+ 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+ 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+ 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+ 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+ 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+ 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+ 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+ 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+ 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+ 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+ 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+ 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+ 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+ 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+ 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+ 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+ 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+ 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+ 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+ 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+ 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+ 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+ 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+ 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+ 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+ 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+ 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+ 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+ 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+ 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+ 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+ 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+ 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+ 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+ 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+ 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+ 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+ 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+ 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+ 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+ 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+ 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+ 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+ 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+ 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+ 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+ 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+ 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+ 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+ 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+ 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+ 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+ 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096)
+const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH] =
+{
+ /* radix 4, size 4032 */
+ 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+ 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+ 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+ 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+ 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+ 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+ 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+ 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+ 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+ 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+ 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+ 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+ 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
+ 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248,
+ 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912,
+ 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368,
+ 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032,
+ 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320,
+ 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176,
+ 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464,
+ 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632,
+ 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776,
+ 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832,
+ 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688,
+ 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976,
+ 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144,
+ 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288,
+ 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576,
+ 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432,
+ 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720,
+ 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888,
+ 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032,
+ 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088,
+ 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944,
+ 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232,
+ 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400,
+ 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544,
+ 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256,
+ 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496,
+ 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784,
+ 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376,
+ 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232,
+ 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152,
+ 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008,
+ 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296,
+ 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888,
+ 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744,
+ 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896,
+ 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560,
+ 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728,
+ 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392,
+ 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680,
+ 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312,
+ 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976,
+ 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432,
+ 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288,
+ 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576,
+ 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480,
+ 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720,
+ 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312,
+ 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840,
+ 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896,
+ 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136,
+ 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424,
+ 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016,
+ 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872,
+ 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024,
+ 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688,
+ 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856,
+ 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144,
+ 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808,
+ 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440,
+ 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104,
+ 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560,
+ 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224,
+ 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416,
+ 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464,
+ 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752,
+ 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344,
+ 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584,
+ 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640,
+ 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168,
+ 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760,
+ 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000,
+ 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288,
+ 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960,
+ 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624,
+ 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792,
+ 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456,
+ 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376,
+ 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424,
+ 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016,
+ 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256,
+ 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544,
+ 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832,
+ 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496,
+ 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472,
+ 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712,
+ 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152,
+ 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816,
+ 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272,
+ 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936,
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+ 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464,
+ 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064,
+ 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136,
+ 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600,
+ 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744,
+ 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208,
+ 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280,
+ 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928,
+ 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488,
+ 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848,
+ 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264,
+ 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128,
+ 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640,
+ 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784,
+ 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296,
+ 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992,
+ 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600,
+ 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448,
+ 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168,
+ 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776,
+ 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312,
+ 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+ 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+ 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+ 31480,32120, 31736,32632, 32248,32504
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
+
+const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] =
+{
+ /* 8x2, size 20 */
+ 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
+
+const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] =
+{
+ /* 8x4, size 48 */
+ 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208,
+ 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208,
+ 152,224, 176,208, 184,232, 216,240, 200,224, 232,240
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
+
+const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] =
+{
+ /* radix 8, size 56 */
+ 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200,
+ 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400,
+ 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480,
+ 368,424, 376,488, 440,496
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
+
+const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] =
+{
+ /* 8x2, size 208 */
+ 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768,
+ 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520,
+ 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776,
+ 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320,
+ 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400,
+ 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584,
+ 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600,
+ 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608,
+ 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864,
+ 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808,
+ 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832,
+ 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008,
+ 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
+
+const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] =
+{
+ /* 8x4, size 440 */
+ 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640,
+ 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768,
+ 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384,
+ 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984,
+ 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608,
+ 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736,
+ 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864,
+ 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992,
+ 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104,
+ 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720,
+ 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160,
+ 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936,
+ 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048,
+ 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808,
+ 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544,
+ 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880,
+ 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496,
+ 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120,
+ 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552,
+ 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824,
+ 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672,
+ 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016,
+ 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640,
+ 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432,
+ 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936,
+ 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960,
+ 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648,
+ 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936,
+ 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928,
+ 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840,
+ 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888,
+ 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032,
+ 1960,1968, 2008,2032, 1992,2016, 2024,2032
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
+
+const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] =
+{
+ /* radix 8, size 448 */
+ 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576,
+ 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152,
+ 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216,
+ 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280,
+ 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344,
+ 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408,
+ 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472,
+ 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544,
+ 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120,
+ 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696,
+ 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272,
+ 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848,
+ 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416,
+ 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992,
+ 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576,
+ 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152,
+ 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728,
+ 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808,
+ 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384,
+ 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960,
+ 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536,
+ 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136,
+ 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224,
+ 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328,
+ 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416,
+ 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520,
+ 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616,
+ 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744,
+ 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872,
+ 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000,
+ 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176,
+ 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368,
+ 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560,
+ 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888,
+ 3448,3952, 3512,4016, 3576,4080
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
+
+const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] =
+{
+ /* 8x2, size 1800 */
+ 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048,
+ 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048,
+ 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696,
+ 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648,
+ 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248,
+ 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200,
+ 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800,
+ 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752,
+ 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352,
+ 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304,
+ 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936,
+ 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856,
+ 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488,
+ 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408,
+ 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040,
+ 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960,
+ 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592,
+ 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096,
+ 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544,
+ 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080,
+ 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400,
+ 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120,
+ 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656,
+ 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168,
+ 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696,
+ 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208,
+ 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736,
+ 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272,
+ 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480,
+ 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312,
+ 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848,
+ 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280,
+ 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888,
+ 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288,
+ 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928,
+ 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464,
+ 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592,
+ 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504,
+ 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040,
+ 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136,
+ 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088,
+ 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816,
+ 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576,
+ 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664,
+ 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264,
+ 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800,
+ 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304,
+ 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840,
+ 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376,
+ 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392,
+ 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344,
+ 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944,
+ 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480,
+ 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016,
+ 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032,
+ 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984,
+ 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584,
+ 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632,
+ 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632,
+ 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168,
+ 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704,
+ 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208,
+ 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744,
+ 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248,
+ 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784,
+ 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320,
+ 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824,
+ 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360,
+ 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896,
+ 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400,
+ 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936,
+ 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440,
+ 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976,
+ 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512,
+ 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016,
+ 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552,
+ 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088,
+ 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592,
+ 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128,
+ 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160,
+ 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176,
+ 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712,
+ 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216,
+ 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752,
+ 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416,
+ 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304,
+ 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624,
+ 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296,
+ 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680,
+ 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208,
+ 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400,
+ 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808,
+ 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688,
+ 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976,
+ 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160,
+ 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344,
+ 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728,
+ 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736,
+ 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928,
+ 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872,
+ 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672,
+ 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208,
+ 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456,
+ 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248,
+ 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784,
+ 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448,
+ 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824,
+ 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240,
+ 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504,
+ 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168,
+ 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264,
+ 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456,
+ 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552,
+ 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312,
+ 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576,
+ 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248,
+ 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504,
+ 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360,
+ 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624,
+ 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384,
+ 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264,
+ 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664,
+ 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520,
+ 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280,
+ 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536,
+ 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048,
+ 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752,
+ 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992,
+ 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280,
+ 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856,
+ 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024,
+ 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624,
+ 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104,
+ 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664,
+ 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280,
+ 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688,
+ 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952,
+ 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456,
+ 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864,
+ 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784,
+ 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048,
+ 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728,
+ 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096,
+ 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112,
+ 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984,
+ 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160,
+ 8112,8136, 8120,8168, 8136,8160, 8152,8176
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
+
+const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] =
+{
+ /* 8x2, size 3808 */
+ 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024,
+ 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824,
+ 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752,
+ 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680,
+ 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576,
+ 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376,
+ 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304,
+ 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232,
+ 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048,
+ 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928,
+ 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856,
+ 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784,
+ 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712,
+ 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480,
+ 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408,
+ 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336,
+ 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264,
+ 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064,
+ 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960,
+ 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792,
+ 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496,
+ 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328,
+ 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032,
+ 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928,
+ 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856,
+ 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560,
+ 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392,
+ 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096,
+ 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240,
+ 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600,
+ 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432,
+ 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136,
+ 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968,
+ 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640,
+ 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392,
+ 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176,
+ 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008,
+ 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712,
+ 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096,
+ 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712,
+ 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480,
+ 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248,
+ 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080,
+ 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784,
+ 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248,
+ 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288,
+ 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128,
+ 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824,
+ 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656,
+ 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328,
+ 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400,
+ 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864,
+ 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280,
+ 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400,
+ 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168,
+ 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904,
+ 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552,
+ 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440,
+ 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272,
+ 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976,
+ 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288,
+ 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480,
+ 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168,
+ 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016,
+ 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848,
+ 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520,
+ 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440,
+ 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056,
+ 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320,
+ 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592,
+ 3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208,
+ 3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096,
+ 3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592,
+ 3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632,
+ 3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472,
+ 3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168,
+ 3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360,
+ 3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672,
+ 3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240,
+ 3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208,
+ 4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624,
+ 4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208,
+ 4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448,
+ 4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744,
+ 4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328,
+ 4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280,
+ 4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216,
+ 4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784,
+ 4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600,
+ 4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320,
+ 4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480,
+ 4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856,
+ 4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368,
+ 4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360,
+ 4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248,
+ 4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896,
+ 4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632,
+ 4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400,
+ 4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520,
+ 4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936,
+ 4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400,
+ 5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472,
+ 5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256,
+ 5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976,
+ 5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640,
+ 5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512,
+ 5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520,
+ 5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048,
+ 5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408,
+ 5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552,
+ 5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288,
+ 5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088,
+ 5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672,
+ 5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592,
+ 5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560,
+ 5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128,
+ 5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440,
+ 5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664,
+ 5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328,
+ 5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168,
+ 5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712,
+ 5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704,
+ 6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592,
+ 6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240,
+ 6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416,
+ 6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240,
+ 6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296,
+ 6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776,
+ 6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680,
+ 6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280,
+ 6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568,
+ 6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816,
+ 6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448,
+ 6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352,
+ 6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336,
+ 6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856,
+ 6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720,
+ 6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392,
+ 6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600,
+ 6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928,
+ 6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488,
+ 6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432,
+ 7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368,
+ 7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968,
+ 7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752,
+ 7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472,
+ 7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608,
+ 7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008,
+ 7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488,
+ 7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544,
+ 7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376,
+ 7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048,
+ 7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760,
+ 7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584,
+ 7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640,
+ 7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120,
+ 7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528,
+ 7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624,
+ 7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408,
+ 7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160,
+ 7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792,
+ 7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664,
+ 7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680,
+ 8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200,
+ 8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560,
+ 8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736,
+ 8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320,
+ 8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448,
+ 8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760,
+ 8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464,
+ 8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392,
+ 8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576,
+ 8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896,
+ 8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688,
+ 8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432,
+ 8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736,
+ 8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968,
+ 8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376,
+ 8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472,
+ 8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424,
+ 8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008,
+ 8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536,
+ 8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512,
+ 8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736,
+ 9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048,
+ 9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728,
+ 9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584,
+ 9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248,
+ 9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408,
+ 9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112,
+ 9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040,
+ 9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616,
+ 9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640,
+ 9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664,
+ 9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688,
+ 9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616,
+ 9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312,
+ 9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336,
+ 9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392,
+ 9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656,
+ 9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408,
+ 9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192,
+ 9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584,
+ 10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760,
+ 10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208,
+ 10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816,
+ 10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664,
+ 10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816,
+ 10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328,
+ 10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296,
+ 10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400,
+ 10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480,
+ 10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304,
+ 10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912,
+ 10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296,
+ 10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360,
+ 10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464,
+ 10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440,
+ 10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344,
+ 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800,
+ 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464,
+ 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968,
+ 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368,
+ 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440,
+ 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488,
+ 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528,
+ 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400,
+ 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440,
+ 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552,
+ 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056,
+ 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424,
+ 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760,
+ 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008,
+ 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408,
+ 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648,
+ 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120,
+ 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440,
+ 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656,
+ 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552,
+ 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160,
+ 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720,
+ 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760,
+ 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672,
+ 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624,
+ 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728,
+ 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736,
+ 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608,
+ 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512,
+ 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760,
+ 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296,
+ 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664,
+ 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712,
+ 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816,
+ 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824,
+ 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696,
+ 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832,
+ 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544,
+ 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584,
+ 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496,
+ 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688,
+ 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920,
+ 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344,
+ 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576,
+ 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400,
+ 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448,
+ 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696,
+ 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816,
+ 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344,
+ 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976,
+ 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416,
+ 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496,
+ 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488,
+ 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536,
+ 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592,
+ 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736,
+ 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664,
+ 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064,
+ 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464,
+ 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816,
+ 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768,
+ 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576,
+ 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592,
+ 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536,
+ 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664,
+ 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616,
+ 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704,
+ 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728,
+ 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488,
+ 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384,
+ 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560,
+ 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392,
+ 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528,
+ 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464,
+ 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304,
+ 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632,
+ 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808,
+ 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704,
+ 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832,
+ 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712,
+ 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848,
+ 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600,
+ 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640,
+ 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728,
+ 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928,
+ 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384,
+ 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616,
+ 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656,
+ 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504,
+ 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528,
+ 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776,
+ 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880,
+ 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024,
+ 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232,
+ 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024,
+ 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544,
+ 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872,
+ 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016,
+ 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160,
+ 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304,
+ 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008,
+ 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152,
+ 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296,
+ 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632,
+ 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768,
+ 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760,
+ 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184,
+ 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856,
+ 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000,
+ 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160,
+ 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264,
+ 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048,
+ 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184,
+ 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264,
+ 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208,
+ 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352,
+ 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368,
+ 16328,16352, 16360,16368
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
+
+const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] =
+{
+ /* radix 8, size 4032 */
+ 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512,
+ 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184,
+ 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600,
+ 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016,
+ 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432,
+ 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848,
+ 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264,
+ 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680,
+ 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160,
+ 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672,
+ 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088,
+ 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760,
+ 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176,
+ 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592,
+ 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008,
+ 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424,
+ 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840,
+ 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224,
+ 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800,
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+ 14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840,
+ 14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352,
+ 14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864,
+ 14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376,
+ 14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952,
+ 14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688,
+ 14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296,
+ 14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904,
+ 14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416,
+ 14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928,
+ 14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440,
+ 14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016,
+ 14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752,
+ 15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360,
+ 15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968,
+ 15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576,
+ 15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088,
+ 15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600,
+ 15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304,
+ 15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912,
+ 15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520,
+ 15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128,
+ 15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864,
+ 15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376,
+ 15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952,
+ 15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560,
+ 15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168,
+ 16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904,
+ 16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512,
+ 16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120,
+ 16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728,
+ 16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024,
+ 16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632,
+ 16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240,
+ 16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976,
+ 16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584,
+ 16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192,
+ 16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088,
+ 17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696,
+ 17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304,
+ 17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040,
+ 17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648,
+ 17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256,
+ 17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152,
+ 17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856,
+ 17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592,
+ 17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200,
+ 17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808,
+ 17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416,
+ 17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312,
+ 18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240,
+ 18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848,
+ 18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456,
+ 18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192,
+ 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864,
+ 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792,
+ 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496,
+ 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328,
+ 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936,
+ 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544,
+ 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440,
+ 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368,
+ 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072,
+ 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904,
+ 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512,
+ 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408,
+ 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112,
+ 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040,
+ 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968,
+ 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576,
+ 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472,
+ 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176,
+ 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104,
+ 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032,
+ 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736,
+ 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224,
+ 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152,
+ 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080,
+ 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784,
+ 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776,
+ 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800,
+ 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728,
+ 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656,
+ 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360,
+ 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768,
+ 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696,
+ 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400,
+ 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328,
+ 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416,
+ 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760,
+ 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464,
+ 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392,
+ 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480,
+ 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920,
+ 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848,
+ 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552,
+ 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960,
+ 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080,
+ 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104,
+ 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096,
+ 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536,
+ 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656,
+ 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680,
+ 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088,
+ 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208,
+ 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648,
+ 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648,
+ 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768,
+ 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208,
+ 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808,
+ 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248,
+ 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368,
+ 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384,
+ 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824,
+ 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424,
+ 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376,
+ 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496,
+ 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024,
+ 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464,
+ 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576,
+ 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528,
+ 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640,
+ 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688,
+ 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216,
+ 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752,
+ 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312,
+ 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864,
+ 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928,
+ 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504,
+ 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632,
+ 32248,32696
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
+
+const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] =
+{
+ /* radix 4, size 12 */
+ 8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
+const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] =
+{
+ /* 4x2, size 24 */
+ 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+ 88,208, 104,176, 120,240, 152,200, 184,232
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
+const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] =
+{
+ /* radix 4, size 56 */
+ 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+ 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+ 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
+const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] =
+{
+ /* 4x2, size 112 */
+ 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+ 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+ 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+ 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+ 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+ 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
+const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] =
+{
+ /* radix 4, size 240 */
+ 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+ 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+ 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+ 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+ 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+ 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+ 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+ 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+ 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+ 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+ 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+ 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+ 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+ 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
+const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] =
+{
+ /* 4x2, size 480 */
+ 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+ 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+ 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+ 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+ 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+ 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+ 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+ 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+ 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+ 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+ 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+ 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+ 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+ 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+ 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+ 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+ 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+ 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+ 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+ 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+ 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+ 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+ 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+ 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+ 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+ 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+ 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+ 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+ 3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
+const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] =
+{
+ /* radix 4, size 992 */
+ 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+ 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+ 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+ 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+ 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+ 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+ 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+ 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+ 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+ 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+ 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+ 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+ 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+ 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+ 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+ 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+ 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+ 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+ 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+ 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+ 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+ 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+ 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+ 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+ 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+ 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+ 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+ 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+ 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+ 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+ 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+ 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+ 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+ 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+ 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+ 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+ 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+ 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+ 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+ 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+ 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+ 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+ 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+ 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+ 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+ 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+ 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+ 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+ 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+ 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+ 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+ 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+ 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+ 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+ 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+ 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+ 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+ 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+ 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+ 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+ 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+ 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+ 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+ 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+ 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+ 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+ 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+ 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+ 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
+const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] =
+{
+ /* 4x2, size 1984 */
+ 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+ 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+ 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+ 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+ 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+ 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+ 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+ 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+ 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+ 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+ 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+ 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+ 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+ 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+ 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+ 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+ 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+ 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+ 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+ 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+ 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+ 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+ 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+ 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+ 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+ 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+ 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+ 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+ 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+ 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+ 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+ 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+ 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+ 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+ 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+ 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+ 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+ 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+ 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+ 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+ 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+ 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+ 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+ 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+ 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+ 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+ 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+ 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+ 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+ 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+ 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+ 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+ 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+ 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+ 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+ 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+ 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+ 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+ 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+ 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+ 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+ 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+ 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+ 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+ 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+ 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+ 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+ 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+ 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+ 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+ 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+ 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+ 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+ 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+ 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+ 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+ 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+ 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+ 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+ 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+ 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+ 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+ 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+ 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+ 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+ 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+ 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+ 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+ 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+ 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+ 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+ 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+ 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+ 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+ 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+ 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+ 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+ 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+ 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+ 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+ 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+ 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+ 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+ 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+ 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+ 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+ 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+ 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+ 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+ 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+ 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+ 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+ 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+ 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+ 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+ 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+ 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+ 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+ 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+ 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+ 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+ 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+ 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+ 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+ 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+ 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+ 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+ 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+ 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+ 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+ 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+ 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+ 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+ 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+ 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+ 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+ 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+ 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+ 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+ 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+ 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+ 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+ 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+ 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+ 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+ 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+ 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+ 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+ 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+ 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+ 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
+const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] =
+{
+ /* radix 4, size 4032 */
+ 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+ 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+ 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+ 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+ 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+ 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+ 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+ 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+ 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+ 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+ 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+ 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+ 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
+ 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248,
+ 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912,
+ 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368,
+ 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032,
+ 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320,
+ 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176,
+ 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464,
+ 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632,
+ 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776,
+ 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832,
+ 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688,
+ 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976,
+ 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144,
+ 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288,
+ 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576,
+ 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432,
+ 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720,
+ 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888,
+ 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032,
+ 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088,
+ 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944,
+ 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232,
+ 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400,
+ 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544,
+ 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256,
+ 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496,
+ 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784,
+ 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376,
+ 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232,
+ 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152,
+ 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008,
+ 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296,
+ 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888,
+ 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744,
+ 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896,
+ 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560,
+ 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728,
+ 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392,
+ 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680,
+ 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312,
+ 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976,
+ 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432,
+ 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288,
+ 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576,
+ 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480,
+ 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720,
+ 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312,
+ 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840,
+ 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896,
+ 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136,
+ 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424,
+ 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016,
+ 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872,
+ 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024,
+ 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688,
+ 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856,
+ 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144,
+ 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808,
+ 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440,
+ 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104,
+ 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560,
+ 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224,
+ 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416,
+ 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464,
+ 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752,
+ 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344,
+ 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584,
+ 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640,
+ 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168,
+ 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760,
+ 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000,
+ 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288,
+ 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960,
+ 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624,
+ 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792,
+ 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456,
+ 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376,
+ 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424,
+ 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016,
+ 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256,
+ 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544,
+ 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832,
+ 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496,
+ 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472,
+ 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712,
+ 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152,
+ 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816,
+ 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272,
+ 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936,
+ 5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800,
+ 5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848,
+ 5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136,
+ 5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112,
+ 5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776,
+ 5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216,
+ 5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456,
+ 6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432,
+ 6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096,
+ 6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672,
+ 6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720,
+ 6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696,
+ 6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744,
+ 6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800,
+ 6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848,
+ 6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016,
+ 6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064,
+ 6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352,
+ 6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024,
+ 6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072,
+ 6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048,
+ 6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712,
+ 6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152,
+ 6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200,
+ 7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176,
+ 7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416,
+ 7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704,
+ 7216,12512, 7224,28896, 7240,18656, 7248,10464, 7256,26848, 7272,22752,
+ 7280,14560, 7288,30944, 7304,17632, 7312,9440, 7320,25824, 7336,21728,
+ 7344,13536, 7352,29920, 7368,19680, 7376,11488, 7384,27872, 7400,23776,
+ 7408,15584, 7416,31968, 7432,17120, 7440,8928, 7448,25312, 7464,21216,
+ 7472,13024, 7480,29408, 7496,19168, 7504,10976, 7512,27360, 7528,23264,
+ 7536,15072, 7544,31456, 7560,18144, 7568,9952, 7576,26336, 7592,22240,
+ 7600,14048, 7608,30432, 7624,20192, 7632,12000, 7640,28384, 7648,7904,
+ 7656,24288, 7664,16096, 7672,32480, 7688,16864, 7696,8672, 7704,25056,
+ 7720,20960, 7728,12768, 7736,29152, 7752,18912, 7760,10720, 7768,27104,
+ 7784,23008, 7792,14816, 7800,31200, 7816,17888, 7824,9696, 7832,26080,
+ 7848,21984, 7856,13792, 7864,30176, 7880,19936, 7888,11744, 7896,28128,
+ 7912,24032, 7920,15840, 7928,32224, 7944,17376, 7952,9184, 7960,25568,
+ 7976,21472, 7984,13280, 7992,29664, 8008,19424, 8016,11232, 8024,27616,
+ 8040,23520, 8048,15328, 8056,31712, 8072,18400, 8080,10208, 8088,26592,
+ 8104,22496, 8112,14304, 8120,30688, 8136,20448, 8144,12256, 8152,28640,
+ 8168,24544, 8176,16352, 8184,32736, 8200,16400, 8216,24592, 8232,20496,
+ 8240,12304, 8248,28688, 8264,18448, 8272,10256, 8280,26640, 8296,22544,
+ 8304,14352, 8312,30736, 8328,17424, 8336,9232, 8344,25616, 8360,21520,
+ 8368,13328, 8376,29712, 8392,19472, 8400,11280, 8408,27664, 8424,23568,
+ 8432,15376, 8440,31760, 8456,16912, 8464,8720, 8472,25104, 8488,21008,
+ 8496,12816, 8504,29200, 8520,18960, 8528,10768, 8536,27152, 8552,23056,
+ 8560,14864, 8568,31248, 8584,17936, 8592,9744, 8600,26128, 8616,22032,
+ 8624,13840, 8632,30224, 8648,19984, 8656,11792, 8664,28176, 8680,24080,
+ 8688,15888, 8696,32272, 8712,16656, 8728,24848, 8744,20752, 8752,12560,
+ 8760,28944, 8776,18704, 8784,10512, 8792,26896, 8808,22800, 8816,14608,
+ 8824,30992, 8840,17680, 8848,9488, 8856,25872, 8872,21776, 8880,13584,
+ 8888,29968, 8904,19728, 8912,11536, 8920,27920, 8936,23824, 8944,15632,
+ 8952,32016, 8968,17168, 8984,25360, 9000,21264, 9008,13072, 9016,29456,
+ 9032,19216, 9040,11024, 9048,27408, 9064,23312, 9072,15120, 9080,31504,
+ 9096,18192, 9104,10000, 9112,26384, 9128,22288, 9136,14096, 9144,30480,
+ 9160,20240, 9168,12048, 9176,28432, 9192,24336, 9200,16144, 9208,32528,
+ 9224,16528, 9240,24720, 9256,20624, 9264,12432, 9272,28816, 9288,18576,
+ 9296,10384, 9304,26768, 9320,22672, 9328,14480, 9336,30864, 9352,17552,
+ 9368,25744, 9384,21648, 9392,13456, 9400,29840, 9416,19600, 9424,11408,
+ 9432,27792, 9448,23696, 9456,15504, 9464,31888, 9480,17040, 9496,25232,
+ 9512,21136, 9520,12944, 9528,29328, 9544,19088, 9552,10896, 9560,27280,
+ 9576,23184, 9584,14992, 9592,31376, 9608,18064, 9616,9872, 9624,26256,
+ 9640,22160, 9648,13968, 9656,30352, 9672,20112, 9680,11920, 9688,28304,
+ 9704,24208, 9712,16016, 9720,32400, 9736,16784, 9752,24976, 9768,20880,
+ 9776,12688, 9784,29072, 9800,18832, 9808,10640, 9816,27024, 9832,22928,
+ 9840,14736, 9848,31120, 9864,17808, 9880,26000, 9896,21904, 9904,13712,
+ 9912,30096, 9928,19856, 9936,11664, 9944,28048, 9960,23952, 9968,15760,
+ 9976,32144, 9992,17296, 10008,25488, 10024,21392, 10032,13200, 10040,29584,
+ 10056,19344, 10064,11152, 10072,27536, 10088,23440, 10096,15248, 10104,31632,
+ 10120,18320, 10136,26512, 10152,22416, 10160,14224, 10168,30608, 10184,20368,
+ 10192,12176, 10200,28560, 10216,24464, 10224,16272, 10232,32656, 10248,16464,
+ 10264,24656, 10280,20560, 10288,12368, 10296,28752, 10312,18512, 10328,26704,
+ 10344,22608, 10352,14416, 10360,30800, 10376,17488, 10392,25680, 10408,21584,
+ 10416,13392, 10424,29776, 10440,19536, 10448,11344, 10456,27728, 10472,23632,
+ 10480,15440, 10488,31824, 10504,16976, 10520,25168, 10536,21072, 10544,12880,
+ 10552,29264, 10568,19024, 10576,10832, 10584,27216, 10600,23120, 10608,14928,
+ 10616,31312, 10632,18000, 10648,26192, 10664,22096, 10672,13904, 10680,30288,
+ 10696,20048, 10704,11856, 10712,28240, 10728,24144, 10736,15952, 10744,32336,
+ 10760,16720, 10776,24912, 10792,20816, 10800,12624, 10808,29008, 10824,18768,
+ 10840,26960, 10856,22864, 10864,14672, 10872,31056, 10888,17744, 10904,25936,
+ 10920,21840, 10928,13648, 10936,30032, 10952,19792, 10960,11600, 10968,27984,
+ 10984,23888, 10992,15696, 11000,32080, 11016,17232, 11032,25424, 11048,21328,
+ 11056,13136, 11064,29520, 11080,19280, 11096,27472, 11112,23376, 11120,15184,
+ 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544,
+ 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592,
+ 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640,
+ 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808,
+ 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760,
+ 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008,
+ 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440,
+ 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176,
+ 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848,
+ 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088,
+ 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968,
+ 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824,
+ 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648,
+ 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384,
+ 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624,
+ 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528,
+ 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768,
+ 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504,
+ 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136,
+ 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088,
+ 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872,
+ 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304,
+ 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928,
+ 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808,
+ 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664,
+ 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248,
+ 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416,
+ 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368,
+ 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848,
+ 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584,
+ 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728,
+ 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360,
+ 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096,
+ 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336,
+ 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912,
+ 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152,
+ 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080,
+ 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424,
+ 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664,
+ 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592,
+ 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592,
+ 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520,
+ 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664,
+ 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296,
+ 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032,
+ 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176,
+ 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040,
+ 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968,
+ 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728,
+ 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312,
+ 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384,
+ 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624,
+ 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864,
+ 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936,
+ 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328,
+ 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472,
+ 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400,
+ 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976,
+ 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904,
+ 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048,
+ 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440,
+ 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512,
+ 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584,
+ 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728,
+ 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656,
+ 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192,
+ 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120,
+ 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264,
+ 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792,
+ 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720,
+ 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448,
+ 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376,
+ 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520,
+ 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664,
+ 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784,
+ 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080,
+ 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152,
+ 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968,
+ 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112,
+ 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944,
+ 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528,
+ 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360,
+ 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744,
+ 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768,
+ 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064,
+ 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184,
+ 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328,
+ 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048,
+ 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880,
+ 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368,
+ 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488,
+ 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824,
+ 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848,
+ 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336,
+ 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168,
+ 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128,
+ 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152,
+ 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640,
+ 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664,
+ 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664,
+ 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688,
+ 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176,
+ 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200,
+ 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824,
+ 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848,
+ 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528,
+ 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552,
+ 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768,
+ 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352,
+ 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376,
+ 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048,
+ 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976,
+ 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656,
+ 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680,
+ 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752,
+ 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144,
+ 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360,
+ 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056,
+ 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496,
+ 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616,
+ 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928,
+ 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464,
+ 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064,
+ 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136,
+ 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600,
+ 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744,
+ 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208,
+ 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280,
+ 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928,
+ 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488,
+ 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848,
+ 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264,
+ 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128,
+ 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640,
+ 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784,
+ 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296,
+ 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992,
+ 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600,
+ 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448,
+ 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168,
+ 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776,
+ 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312,
+ 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+ 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+ 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+ 31480,32120, 31736,32632, 32248,32504
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+/**
+ @par
+ Example code for Double Precision Floating-point RFFT Twiddle factors Generation:
+ @par
+ TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'+ @par + Real and Imag values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_rfft_32[32] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, //0.19509, 0.98079 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, //0.38268, 0.92388 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, //0.55557, 0.83147 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //0.70711, 0.70711 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, //0.83147, 0.55557 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, //0.92388, 0.38268 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, //0.98079, 0.19509 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, //0.98079,-0.19509 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, //0.92388,-0.38268 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, //0.83147,-0.55557 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //0.70711,-0.70711 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, //0.55557,-0.83147 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, //0.38268,-0.92388 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, //0.19509,-0.98079 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) +const uint64_t twiddleCoefF64_rfft_64[64] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) +const uint64_t twiddleCoefF64_rfft_128[128] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) +const uint64_t twiddleCoefF64_rfft_256[256] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997 + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) +const uint64_t twiddleCoefF64_rfft_512[512] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, //0.012272, 0.99992' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997' + 0x3fa2d865759455cd, 0x3feffa72effef75d, //0.036807, 0.99932' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3faf656e79f820e0, 0x3feff095658e71ad, //0.061321, 0.99812' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //0.085797, 0.99631' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //0.085797, -0.99631' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, //0.061321, -0.99812' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, //0.036807, -0.99932' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, //0.012272, -0.99992' + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) +const uint64_t twiddleCoefF64_rfft_1024[1024] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992' + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997' + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953' + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932' + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848' + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812' + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729' + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631' + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272' + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541' + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807' + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068' + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321' + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565' + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797' + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017' + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631' + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729' + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812' + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932' + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997' + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992' + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) +const uint64_t twiddleCoefF64_rfft_2048[2048] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) +const uint64_t twiddleCoefF64_rfft_4096[4096] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, //0.0046019, 0.99999 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, //0.0076698, 0.99997 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, //0.0076698, -0.99997 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, //0.0046019, -0.99999 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 +}; + +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) +/** + @par + Example code for Floating-point RFFT Twiddle factors Generation: + @par +
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'+ @par + Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { + 0.000000000f, 1.000000000f, + 0.195090322f, 0.980785280f, + 0.382683432f, 0.923879533f, + 0.555570233f, 0.831469612f, + 0.707106781f, 0.707106781f, + 0.831469612f, 0.555570233f, + 0.923879533f, 0.382683432f, + 0.980785280f, 0.195090322f, + 1.000000000f, 0.000000000f, + 0.980785280f, -0.195090322f, + 0.923879533f, -0.382683432f, + 0.831469612f, -0.555570233f, + 0.707106781f, -0.707106781f, + 0.555570233f, -0.831469612f, + 0.382683432f, -0.923879533f, + 0.195090322f, -0.980785280f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) +const float32_t twiddleCoef_rfft_64[64] = { + 0.000000000000000f, 1.000000000000000f, + 0.098017140329561f, 0.995184726672197f, + 0.195090322016128f, 0.980785280403230f, + 0.290284677254462f, 0.956940335732209f, + 0.382683432365090f, 0.923879532511287f, + 0.471396736825998f, 0.881921264348355f, + 0.555570233019602f, 0.831469612302545f, + 0.634393284163645f, 0.773010453362737f, + 0.707106781186547f, 0.707106781186548f, + 0.773010453362737f, 0.634393284163645f, + 0.831469612302545f, 0.555570233019602f, + 0.881921264348355f, 0.471396736825998f, + 0.923879532511287f, 0.382683432365090f, + 0.956940335732209f, 0.290284677254462f, + 0.980785280403230f, 0.195090322016128f, + 0.995184726672197f, 0.098017140329561f, + 1.000000000000000f, 0.000000000000000f, + 0.995184726672197f, -0.098017140329561f, + 0.980785280403230f, -0.195090322016128f, + 0.956940335732209f, -0.290284677254462f, + 0.923879532511287f, -0.382683432365090f, + 0.881921264348355f, -0.471396736825998f, + 0.831469612302545f, -0.555570233019602f, + 0.773010453362737f, -0.634393284163645f, + 0.707106781186548f, -0.707106781186547f, + 0.634393284163645f, -0.773010453362737f, + 0.555570233019602f, -0.831469612302545f, + 0.471396736825998f, -0.881921264348355f, + 0.382683432365090f, -0.923879532511287f, + 0.290284677254462f, -0.956940335732209f, + 0.195090322016129f, -0.980785280403230f, + 0.098017140329561f, -0.995184726672197f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) +const float32_t twiddleCoef_rfft_128[128] = { + 0.000000000f, 1.000000000f, + 0.049067674f, 0.998795456f, + 0.098017140f, 0.995184727f, + 0.146730474f, 0.989176510f, + 0.195090322f, 0.980785280f, + 0.242980180f, 0.970031253f, + 0.290284677f, 0.956940336f, + 0.336889853f, 0.941544065f, + 0.382683432f, 0.923879533f, + 0.427555093f, 0.903989293f, + 0.471396737f, 0.881921264f, + 0.514102744f, 0.857728610f, + 0.555570233f, 0.831469612f, + 0.595699304f, 0.803207531f, + 0.634393284f, 0.773010453f, + 0.671558955f, 0.740951125f, + 0.707106781f, 0.707106781f, + 0.740951125f, 0.671558955f, + 0.773010453f, 0.634393284f, + 0.803207531f, 0.595699304f, + 0.831469612f, 0.555570233f, + 0.857728610f, 0.514102744f, + 0.881921264f, 0.471396737f, + 0.903989293f, 0.427555093f, + 0.923879533f, 0.382683432f, + 0.941544065f, 0.336889853f, + 0.956940336f, 0.290284677f, + 0.970031253f, 0.242980180f, + 0.980785280f, 0.195090322f, + 0.989176510f, 0.146730474f, + 0.995184727f, 0.098017140f, + 0.998795456f, 0.049067674f, + 1.000000000f, 0.000000000f, + 0.998795456f, -0.049067674f, + 0.995184727f, -0.098017140f, + 0.989176510f, -0.146730474f, + 0.980785280f, -0.195090322f, + 0.970031253f, -0.242980180f, + 0.956940336f, -0.290284677f, + 0.941544065f, -0.336889853f, + 0.923879533f, -0.382683432f, + 0.903989293f, -0.427555093f, + 0.881921264f, -0.471396737f, + 0.857728610f, -0.514102744f, + 0.831469612f, -0.555570233f, + 0.803207531f, -0.595699304f, + 0.773010453f, -0.634393284f, + 0.740951125f, -0.671558955f, + 0.707106781f, -0.707106781f, + 0.671558955f, -0.740951125f, + 0.634393284f, -0.773010453f, + 0.595699304f, -0.803207531f, + 0.555570233f, -0.831469612f, + 0.514102744f, -0.857728610f, + 0.471396737f, -0.881921264f, + 0.427555093f, -0.903989293f, + 0.382683432f, -0.923879533f, + 0.336889853f, -0.941544065f, + 0.290284677f, -0.956940336f, + 0.242980180f, -0.970031253f, + 0.195090322f, -0.980785280f, + 0.146730474f, -0.989176510f, + 0.098017140f, -0.995184727f, + 0.049067674f, -0.998795456f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) +const float32_t twiddleCoef_rfft_256[256] = { + 0.000000000f, 1.000000000f, + 0.024541229f, 0.999698819f, + 0.049067674f, 0.998795456f, + 0.073564564f, 0.997290457f, + 0.098017140f, 0.995184727f, + 0.122410675f, 0.992479535f, + 0.146730474f, 0.989176510f, + 0.170961889f, 0.985277642f, + 0.195090322f, 0.980785280f, + 0.219101240f, 0.975702130f, + 0.242980180f, 0.970031253f, + 0.266712757f, 0.963776066f, + 0.290284677f, 0.956940336f, + 0.313681740f, 0.949528181f, + 0.336889853f, 0.941544065f, + 0.359895037f, 0.932992799f, + 0.382683432f, 0.923879533f, + 0.405241314f, 0.914209756f, + 0.427555093f, 0.903989293f, + 0.449611330f, 0.893224301f, + 0.471396737f, 0.881921264f, + 0.492898192f, 0.870086991f, + 0.514102744f, 0.857728610f, + 0.534997620f, 0.844853565f, + 0.555570233f, 0.831469612f, + 0.575808191f, 0.817584813f, + 0.595699304f, 0.803207531f, + 0.615231591f, 0.788346428f, + 0.634393284f, 0.773010453f, + 0.653172843f, 0.757208847f, + 0.671558955f, 0.740951125f, + 0.689540545f, 0.724247083f, + 0.707106781f, 0.707106781f, + 0.724247083f, 0.689540545f, + 0.740951125f, 0.671558955f, + 0.757208847f, 0.653172843f, + 0.773010453f, 0.634393284f, + 0.788346428f, 0.615231591f, + 0.803207531f, 0.595699304f, + 0.817584813f, 0.575808191f, + 0.831469612f, 0.555570233f, + 0.844853565f, 0.534997620f, + 0.857728610f, 0.514102744f, + 0.870086991f, 0.492898192f, + 0.881921264f, 0.471396737f, + 0.893224301f, 0.449611330f, + 0.903989293f, 0.427555093f, + 0.914209756f, 0.405241314f, + 0.923879533f, 0.382683432f, + 0.932992799f, 0.359895037f, + 0.941544065f, 0.336889853f, + 0.949528181f, 0.313681740f, + 0.956940336f, 0.290284677f, + 0.963776066f, 0.266712757f, + 0.970031253f, 0.242980180f, + 0.975702130f, 0.219101240f, + 0.980785280f, 0.195090322f, + 0.985277642f, 0.170961889f, + 0.989176510f, 0.146730474f, + 0.992479535f, 0.122410675f, + 0.995184727f, 0.098017140f, + 0.997290457f, 0.073564564f, + 0.998795456f, 0.049067674f, + 0.999698819f, 0.024541229f, + 1.000000000f, 0.000000000f, + 0.999698819f, -0.024541229f, + 0.998795456f, -0.049067674f, + 0.997290457f, -0.073564564f, + 0.995184727f, -0.098017140f, + 0.992479535f, -0.122410675f, + 0.989176510f, -0.146730474f, + 0.985277642f, -0.170961889f, + 0.980785280f, -0.195090322f, + 0.975702130f, -0.219101240f, + 0.970031253f, -0.242980180f, + 0.963776066f, -0.266712757f, + 0.956940336f, -0.290284677f, + 0.949528181f, -0.313681740f, + 0.941544065f, -0.336889853f, + 0.932992799f, -0.359895037f, + 0.923879533f, -0.382683432f, + 0.914209756f, -0.405241314f, + 0.903989293f, -0.427555093f, + 0.893224301f, -0.449611330f, + 0.881921264f, -0.471396737f, + 0.870086991f, -0.492898192f, + 0.857728610f, -0.514102744f, + 0.844853565f, -0.534997620f, + 0.831469612f, -0.555570233f, + 0.817584813f, -0.575808191f, + 0.803207531f, -0.595699304f, + 0.788346428f, -0.615231591f, + 0.773010453f, -0.634393284f, + 0.757208847f, -0.653172843f, + 0.740951125f, -0.671558955f, + 0.724247083f, -0.689540545f, + 0.707106781f, -0.707106781f, + 0.689540545f, -0.724247083f, + 0.671558955f, -0.740951125f, + 0.653172843f, -0.757208847f, + 0.634393284f, -0.773010453f, + 0.615231591f, -0.788346428f, + 0.595699304f, -0.803207531f, + 0.575808191f, -0.817584813f, + 0.555570233f, -0.831469612f, + 0.534997620f, -0.844853565f, + 0.514102744f, -0.857728610f, + 0.492898192f, -0.870086991f, + 0.471396737f, -0.881921264f, + 0.449611330f, -0.893224301f, + 0.427555093f, -0.903989293f, + 0.405241314f, -0.914209756f, + 0.382683432f, -0.923879533f, + 0.359895037f, -0.932992799f, + 0.336889853f, -0.941544065f, + 0.313681740f, -0.949528181f, + 0.290284677f, -0.956940336f, + 0.266712757f, -0.963776066f, + 0.242980180f, -0.970031253f, + 0.219101240f, -0.975702130f, + 0.195090322f, -0.980785280f, + 0.170961889f, -0.985277642f, + 0.146730474f, -0.989176510f, + 0.122410675f, -0.992479535f, + 0.098017140f, -0.995184727f, + 0.073564564f, -0.997290457f, + 0.049067674f, -0.998795456f, + 0.024541229f, -0.999698819f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) +const float32_t twiddleCoef_rfft_512[512] = { + 0.000000000f, 1.000000000f, + 0.012271538f, 0.999924702f, + 0.024541229f, 0.999698819f, + 0.036807223f, 0.999322385f, + 0.049067674f, 0.998795456f, + 0.061320736f, 0.998118113f, + 0.073564564f, 0.997290457f, + 0.085797312f, 0.996312612f, + 0.098017140f, 0.995184727f, + 0.110222207f, 0.993906970f, + 0.122410675f, 0.992479535f, + 0.134580709f, 0.990902635f, + 0.146730474f, 0.989176510f, + 0.158858143f, 0.987301418f, + 0.170961889f, 0.985277642f, + 0.183039888f, 0.983105487f, + 0.195090322f, 0.980785280f, + 0.207111376f, 0.978317371f, + 0.219101240f, 0.975702130f, + 0.231058108f, 0.972939952f, + 0.242980180f, 0.970031253f, + 0.254865660f, 0.966976471f, + 0.266712757f, 0.963776066f, + 0.278519689f, 0.960430519f, + 0.290284677f, 0.956940336f, + 0.302005949f, 0.953306040f, + 0.313681740f, 0.949528181f, + 0.325310292f, 0.945607325f, + 0.336889853f, 0.941544065f, + 0.348418680f, 0.937339012f, + 0.359895037f, 0.932992799f, + 0.371317194f, 0.928506080f, + 0.382683432f, 0.923879533f, + 0.393992040f, 0.919113852f, + 0.405241314f, 0.914209756f, + 0.416429560f, 0.909167983f, + 0.427555093f, 0.903989293f, + 0.438616239f, 0.898674466f, + 0.449611330f, 0.893224301f, + 0.460538711f, 0.887639620f, + 0.471396737f, 0.881921264f, + 0.482183772f, 0.876070094f, + 0.492898192f, 0.870086991f, + 0.503538384f, 0.863972856f, + 0.514102744f, 0.857728610f, + 0.524589683f, 0.851355193f, + 0.534997620f, 0.844853565f, + 0.545324988f, 0.838224706f, + 0.555570233f, 0.831469612f, + 0.565731811f, 0.824589303f, + 0.575808191f, 0.817584813f, + 0.585797857f, 0.810457198f, + 0.595699304f, 0.803207531f, + 0.605511041f, 0.795836905f, + 0.615231591f, 0.788346428f, + 0.624859488f, 0.780737229f, + 0.634393284f, 0.773010453f, + 0.643831543f, 0.765167266f, + 0.653172843f, 0.757208847f, + 0.662415778f, 0.749136395f, + 0.671558955f, 0.740951125f, + 0.680600998f, 0.732654272f, + 0.689540545f, 0.724247083f, + 0.698376249f, 0.715730825f, + 0.707106781f, 0.707106781f, + 0.715730825f, 0.698376249f, + 0.724247083f, 0.689540545f, + 0.732654272f, 0.680600998f, + 0.740951125f, 0.671558955f, + 0.749136395f, 0.662415778f, + 0.757208847f, 0.653172843f, + 0.765167266f, 0.643831543f, + 0.773010453f, 0.634393284f, + 0.780737229f, 0.624859488f, + 0.788346428f, 0.615231591f, + 0.795836905f, 0.605511041f, + 0.803207531f, 0.595699304f, + 0.810457198f, 0.585797857f, + 0.817584813f, 0.575808191f, + 0.824589303f, 0.565731811f, + 0.831469612f, 0.555570233f, + 0.838224706f, 0.545324988f, + 0.844853565f, 0.534997620f, + 0.851355193f, 0.524589683f, + 0.857728610f, 0.514102744f, + 0.863972856f, 0.503538384f, + 0.870086991f, 0.492898192f, + 0.876070094f, 0.482183772f, + 0.881921264f, 0.471396737f, + 0.887639620f, 0.460538711f, + 0.893224301f, 0.449611330f, + 0.898674466f, 0.438616239f, + 0.903989293f, 0.427555093f, + 0.909167983f, 0.416429560f, + 0.914209756f, 0.405241314f, + 0.919113852f, 0.393992040f, + 0.923879533f, 0.382683432f, + 0.928506080f, 0.371317194f, + 0.932992799f, 0.359895037f, + 0.937339012f, 0.348418680f, + 0.941544065f, 0.336889853f, + 0.945607325f, 0.325310292f, + 0.949528181f, 0.313681740f, + 0.953306040f, 0.302005949f, + 0.956940336f, 0.290284677f, + 0.960430519f, 0.278519689f, + 0.963776066f, 0.266712757f, + 0.966976471f, 0.254865660f, + 0.970031253f, 0.242980180f, + 0.972939952f, 0.231058108f, + 0.975702130f, 0.219101240f, + 0.978317371f, 0.207111376f, + 0.980785280f, 0.195090322f, + 0.983105487f, 0.183039888f, + 0.985277642f, 0.170961889f, + 0.987301418f, 0.158858143f, + 0.989176510f, 0.146730474f, + 0.990902635f, 0.134580709f, + 0.992479535f, 0.122410675f, + 0.993906970f, 0.110222207f, + 0.995184727f, 0.098017140f, + 0.996312612f, 0.085797312f, + 0.997290457f, 0.073564564f, + 0.998118113f, 0.061320736f, + 0.998795456f, 0.049067674f, + 0.999322385f, 0.036807223f, + 0.999698819f, 0.024541229f, + 0.999924702f, 0.012271538f, + 1.000000000f, 0.000000000f, + 0.999924702f, -0.012271538f, + 0.999698819f, -0.024541229f, + 0.999322385f, -0.036807223f, + 0.998795456f, -0.049067674f, + 0.998118113f, -0.061320736f, + 0.997290457f, -0.073564564f, + 0.996312612f, -0.085797312f, + 0.995184727f, -0.098017140f, + 0.993906970f, -0.110222207f, + 0.992479535f, -0.122410675f, + 0.990902635f, -0.134580709f, + 0.989176510f, -0.146730474f, + 0.987301418f, -0.158858143f, + 0.985277642f, -0.170961889f, + 0.983105487f, -0.183039888f, + 0.980785280f, -0.195090322f, + 0.978317371f, -0.207111376f, + 0.975702130f, -0.219101240f, + 0.972939952f, -0.231058108f, + 0.970031253f, -0.242980180f, + 0.966976471f, -0.254865660f, + 0.963776066f, -0.266712757f, + 0.960430519f, -0.278519689f, + 0.956940336f, -0.290284677f, + 0.953306040f, -0.302005949f, + 0.949528181f, -0.313681740f, + 0.945607325f, -0.325310292f, + 0.941544065f, -0.336889853f, + 0.937339012f, -0.348418680f, + 0.932992799f, -0.359895037f, + 0.928506080f, -0.371317194f, + 0.923879533f, -0.382683432f, + 0.919113852f, -0.393992040f, + 0.914209756f, -0.405241314f, + 0.909167983f, -0.416429560f, + 0.903989293f, -0.427555093f, + 0.898674466f, -0.438616239f, + 0.893224301f, -0.449611330f, + 0.887639620f, -0.460538711f, + 0.881921264f, 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-0.990695025f, + 0.134580709f, -0.990902635f, + 0.133060525f, -0.991107914f, + 0.131540029f, -0.991310860f, + 0.130019223f, -0.991511473f, + 0.128498111f, -0.991709754f, + 0.126976696f, -0.991905700f, + 0.125454983f, -0.992099313f, + 0.123932975f, -0.992290591f, + 0.122410675f, -0.992479535f, + 0.120888087f, -0.992666142f, + 0.119365215f, -0.992850414f, + 0.117842062f, -0.993032350f, + 0.116318631f, -0.993211949f, + 0.114794927f, -0.993389211f, + 0.113270952f, -0.993564136f, + 0.111746711f, -0.993736722f, + 0.110222207f, -0.993906970f, + 0.108697444f, -0.994074879f, + 0.107172425f, -0.994240449f, + 0.105647154f, -0.994403680f, + 0.104121634f, -0.994564571f, + 0.102595869f, -0.994723121f, + 0.101069863f, -0.994879331f, + 0.099543619f, -0.995033199f, + 0.098017140f, -0.995184727f, + 0.096490431f, -0.995333912f, + 0.094963495f, -0.995480755f, + 0.093436336f, -0.995625256f, + 0.091908956f, -0.995767414f, + 0.090381361f, -0.995907229f, + 0.088853553f, -0.996044701f, + 0.087325535f, -0.996179829f, + 0.085797312f, -0.996312612f, + 0.084268888f, -0.996443051f, + 0.082740265f, -0.996571146f, + 0.081211447f, -0.996696895f, + 0.079682438f, -0.996820299f, + 0.078153242f, -0.996941358f, + 0.076623861f, -0.997060070f, + 0.075094301f, -0.997176437f, + 0.073564564f, -0.997290457f, + 0.072034653f, -0.997402130f, + 0.070504573f, -0.997511456f, + 0.068974328f, -0.997618435f, + 0.067443920f, -0.997723067f, + 0.065913353f, -0.997825350f, + 0.064382631f, -0.997925286f, + 0.062851758f, -0.998022874f, + 0.061320736f, -0.998118113f, + 0.059789571f, -0.998211003f, + 0.058258265f, -0.998301545f, + 0.056726821f, -0.998389737f, + 0.055195244f, -0.998475581f, + 0.053663538f, -0.998559074f, + 0.052131705f, -0.998640218f, + 0.050599749f, -0.998719012f, + 0.049067674f, -0.998795456f, + 0.047535484f, -0.998869550f, + 0.046003182f, -0.998941293f, + 0.044470772f, -0.999010686f, + 0.042938257f, -0.999077728f, + 0.041405641f, -0.999142419f, + 0.039872928f, -0.999204759f, + 0.038340120f, -0.999264747f, + 0.036807223f, -0.999322385f, + 0.035274239f, -0.999377670f, + 0.033741172f, -0.999430605f, + 0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALL_TABLES) */ + +/** + @ingroup RealFFT + */ + +/** + @addtogroup RealFFT_Table Real FFT Tables + @{ + */ + +/** + @par + Generation of realCoefA array: + @par + n = 4096 +
for (i = 0; i < n; i++)
+ {
+ pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+ pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32)
+const float32_t realCoefA[8192] = {
+ 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f,
+ 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f,
+ 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f,
+ 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f,
+ 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f,
+ 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f,
+ 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f,
+ 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f,
+ 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f,
+ 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f,
+ 0.492330402135849f, -0.499941170215607f, 0.491946935653687f, -0.499935150146484f,
+ 0.491563498973846f, -0.499928832054138f, 0.491180062294006f, -0.499922215938568f,
+ 0.490796625614166f, -0.499915301799774f, 0.490413218736649f, -0.499908089637756f,
+ 0.490029782056808f, -0.499900579452515f, 0.489646375179291f, -0.499892801046371f,
+ 0.489262968301773f, -0.499884694814682f, 0.488879561424255f, -0.499876320362091f,
+ 0.488496154546738f, -0.499867647886276f, 0.488112777471542f, -0.499858677387238f,
+ 0.487729400396347f, -0.499849408864975f, 0.487346023321152f, -0.499839842319489f,
+ 0.486962646245956f, -0.499830007553101f, 0.486579269170761f, -0.499819844961166f,
+ 0.486195921897888f, -0.499809414148331f, 0.485812574625015f, -0.499798685312271f,
+ 0.485429257154465f, -0.499787658452988f, 0.485045909881592f, -0.499776333570480f,
+ 0.484662592411041f, -0.499764710664749f, 0.484279274940491f, -0.499752789735794f,
+ 0.483895987272263f, -0.499740600585938f, 0.483512699604034f, -0.499728083610535f,
+ 0.483129411935806f, -0.499715298414230f, 0.482746154069901f, -0.499702215194702f,
+ 0.482362866401672f, -0.499688833951950f, 0.481979638338089f, -0.499675154685974f,
+ 0.481596380472183f, -0.499661177396774f, 0.481213152408600f, -0.499646931886673f,
+ 0.480829954147339f, -0.499632388353348f, 0.480446726083755f, -0.499617516994476f,
+ 0.480063527822495f, -0.499602377414703f, 0.479680359363556f, -0.499586939811707f,
+ 0.479297190904617f, -0.499571204185486f, 0.478914022445679f, -0.499555170536041f,
+ 0.478530883789063f, -0.499538868665695f, 0.478147745132446f, -0.499522238969803f,
+ 0.477764606475830f, -0.499505341053009f, 0.477381497621536f, -0.499488145112991f,
+ 0.476998418569565f, -0.499470651149750f, 0.476615339517593f, -0.499452859163284f,
+ 0.476232260465622f, -0.499434769153595f, 0.475849211215973f, -0.499416410923004f,
+ 0.475466161966324f, -0.499397724866867f, 0.475083142518997f, -0.499378770589828f,
+ 0.474700123071671f, -0.499359518289566f, 0.474317133426666f, -0.499339967966080f,
+ 0.473934143781662f, -0.499320119619370f, 0.473551183938980f, -0.499299973249435f,
+ 0.473168224096298f, -0.499279528856277f, 0.472785294055939f, -0.499258816242218f,
+ 0.472402364015579f, -0.499237775802612f, 0.472019463777542f, -0.499216467142105f,
+ 0.471636593341827f, -0.499194860458374f, 0.471253722906113f, -0.499172955751419f,
+ 0.470870882272720f, -0.499150782823563f, 0.470488041639328f, -0.499128282070160f,
+ 0.470105201005936f, -0.499105513095856f, 0.469722419977188f, -0.499082416296005f,
+ 0.469339638948441f, -0.499059051275253f, 0.468956857919693f, -0.499035388231277f,
+ 0.468574106693268f, -0.499011427164078f, 0.468191385269165f, -0.498987197875977f,
+ 0.467808693647385f, -0.498962640762329f, 0.467426002025604f, -0.498937815427780f,
+ 0.467043310403824f, -0.498912662267685f, 0.466660678386688f, -0.498887240886688f,
+ 0.466278046369553f, -0.498861521482468f, 0.465895414352417f, -0.498835533857346f,
+ 0.465512841939926f, -0.498809218406677f, 0.465130269527435f, -0.498782604932785f,
+ 0.464747726917267f, -0.498755723237991f, 0.464365184307098f, -0.498728543519974f,
+ 0.463982671499252f, -0.498701065778732f, 0.463600188493729f, -0.498673290014267f,
+ 0.463217705488205f, -0.498645216226578f, 0.462835282087326f, -0.498616874217987f,
+ 0.462452858686447f, -0.498588204383850f, 0.462070435285568f, -0.498559266328812f,
+ 0.461688071489334f, -0.498530030250549f, 0.461305707693100f, -0.498500496149063f,
+ 0.460923373699188f, -0.498470664024353f, 0.460541069507599f, -0.498440563678741f,
+ 0.460158795118332f, -0.498410135507584f, 0.459776520729065f, -0.498379439115524f,
+ 0.459394276142120f, -0.498348444700241f, 0.459012061357498f, -0.498317152261734f,
+ 0.458629876375198f, -0.498285561800003f, 0.458247691392899f, -0.498253703117371f,
+ 0.457865566015244f, -0.498221516609192f, 0.457483440637589f, -0.498189061880112f,
+ 0.457101345062256f, -0.498156309127808f, 0.456719279289246f, -0.498123258352280f,
+ 0.456337243318558f, -0.498089909553528f, 0.455955207347870f, -0.498056292533875f,
+ 0.455573230981827f, -0.498022347688675f, 0.455191254615784f, -0.497988134622574f,
+ 0.454809308052063f, -0.497953623533249f, 0.454427421092987f, -0.497918814420700f,
+ 0.454045534133911f, -0.497883707284927f, 0.453663676977158f, -0.497848302125931f,
+ 0.453281819820404f, -0.497812628746033f, 0.452900022268295f, -0.497776657342911f,
+ 0.452518254518509f, -0.497740387916565f, 0.452136516571045f, -0.497703820466995f,
+ 0.451754778623581f, -0.497666954994202f, 0.451373100280762f, -0.497629791498184f,
+ 0.450991421937943f, -0.497592359781265f, 0.450609803199768f, -0.497554630041122f,
+ 0.450228184461594f, -0.497516602277756f, 0.449846625328064f, -0.497478276491165f,
+ 0.449465066194534f, -0.497439652681351f, 0.449083566665649f, -0.497400760650635f,
+ 0.448702067136765f, -0.497361570596695f, 0.448320597410202f, -0.497322082519531f,
+ 0.447939187288284f, -0.497282296419144f, 0.447557777166367f, -0.497242212295532f,
+ 0.447176426649094f, -0.497201830148697f, 0.446795076131821f, -0.497161179780960f,
+ 0.446413785219193f, -0.497120231389999f, 0.446032524108887f, -0.497078984975815f,
+ 0.445651292800903f, -0.497037440538406f, 0.445270061492920f, -0.496995598077774f,
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+ 0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f,
+ 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f,
+ 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f,
+ 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f,
+ 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f,
+ 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f,
+ 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f,
+ 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f,
+ 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f,
+ 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f,
+ 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f,
+ 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f,
+ 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f,
+ 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f,
+};
+
+
+/**
+ @par
+ Generation of realCoefB array:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+ pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ */
+
+const float32_t realCoefB[8192] = {
+ 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f,
+ 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f,
+ 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f,
+ 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f,
+ 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f,
+ 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f,
+ 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f,
+ 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f,
+ 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f,
+ 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f,
+ 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f,
+ 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f,
+ 0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f,
+ 0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f,
+ 0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f,
+ 0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f,
+ 0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f,
+ 0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f,
+ 0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f,
+ 0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f,
+ 0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f,
+ 0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f,
+ 0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f,
+ 0.517637133598328f, 0.499688833951950f, 0.518020391464233f, 0.499675154685974f,
+ 0.518403589725494f, 0.499661177396774f, 0.518786847591400f, 0.499646931886673f,
+ 0.519170045852661f, 0.499632388353348f, 0.519553244113922f, 0.499617516994476f,
+ 0.519936442375183f, 0.499602377414703f, 0.520319640636444f, 0.499586939811707f,
+ 0.520702838897705f, 0.499571204185486f, 0.521085977554321f, 0.499555170536041f,
+ 0.521469116210938f, 0.499538868665695f, 0.521852254867554f, 0.499522238969803f,
+ 0.522235393524170f, 0.499505341053009f, 0.522618472576141f, 0.499488145112991f,
+ 0.523001611232758f, 0.499470651149750f, 0.523384690284729f, 0.499452859163284f,
+ 0.523767769336700f, 0.499434769153595f, 0.524150788784027f, 0.499416410923004f,
+ 0.524533808231354f, 0.499397724866867f, 0.524916887283325f, 0.499378770589828f,
+ 0.525299847126007f, 0.499359518289566f, 0.525682866573334f, 0.499339967966080f,
+ 0.526065826416016f, 0.499320119619370f, 0.526448845863342f, 0.499299973249435f,
+ 0.526831746101379f, 0.499279528856277f, 0.527214705944061f, 0.499258816242218f,
+ 0.527597606182098f, 0.499237775802612f, 0.527980506420136f, 0.499216467142105f,
+ 0.528363406658173f, 0.499194860458374f, 0.528746306896210f, 0.499172955751419f,
+ 0.529129147529602f, 0.499150782823563f, 0.529511988162994f, 0.499128282070160f,
+ 0.529894769191742f, 0.499105513095856f, 0.530277609825134f, 0.499082416296005f,
+ 0.530660390853882f, 0.499059051275253f, 0.531043112277985f, 0.499035388231277f,
+ 0.531425893306732f, 0.499011427164078f, 0.531808614730835f, 0.498987197875977f,
+ 0.532191336154938f, 0.498962640762329f, 0.532573997974396f, 0.498937815427780f,
+ 0.532956659793854f, 0.498912662267685f, 0.533339321613312f, 0.498887240886688f,
+ 0.533721983432770f, 0.498861521482468f, 0.534104585647583f, 0.498835533857346f,
+ 0.534487187862396f, 0.498809218406677f, 0.534869730472565f, 0.498782604932785f,
+ 0.535252273082733f, 0.498755723237991f, 0.535634815692902f, 0.498728543519974f,
+ 0.536017298698425f, 0.498701065778732f, 0.536399841308594f, 0.498673290014267f,
+ 0.536782264709473f, 0.498645216226578f, 0.537164747714996f, 0.498616874217987f,
+ 0.537547171115875f, 0.498588204383850f, 0.537929534912109f, 0.498559266328812f,
+ 0.538311958312988f, 0.498530030250549f, 0.538694262504578f, 0.498500496149063f,
+ 0.539076626300812f, 0.498470664024353f, 0.539458930492401f, 0.498440563678741f,
+ 0.539841234683990f, 0.498410135507584f, 0.540223479270935f, 0.498379439115524f,
+ 0.540605723857880f, 0.498348444700241f, 0.540987968444824f, 0.498317152261734f,
+ 0.541370153427124f, 0.498285561800003f, 0.541752278804779f, 0.498253703117371f,
+ 0.542134463787079f, 0.498221516609192f, 0.542516589164734f, 0.498189061880112f,
+ 0.542898654937744f, 0.498156309127808f, 0.543280720710754f, 0.498123258352280f,
+ 0.543662786483765f, 0.498089909553528f, 0.544044792652130f, 0.498056292533875f,
+ 0.544426798820496f, 0.498022347688675f, 0.544808745384216f, 0.497988134622574f,
+ 0.545190691947937f, 0.497953623533249f, 0.545572578907013f, 0.497918814420700f,
+ 0.545954465866089f, 0.497883707284927f, 0.546336352825165f, 0.497848302125931f,
+ 0.546718180179596f, 0.497812628746033f, 0.547099947929382f, 0.497776657342911f,
+ 0.547481775283813f, 0.497740387916565f, 0.547863483428955f, 0.497703820466995f,
+ 0.548245191574097f, 0.497666954994202f, 0.548626899719238f, 0.497629791498184f,
+ 0.549008548259735f, 0.497592359781265f, 0.549390196800232f, 0.497554630041122f,
+ 0.549771785736084f, 0.497516602277756f, 0.550153374671936f, 0.497478276491165f,
+ 0.550534904003143f, 0.497439652681351f, 0.550916433334351f, 0.497400760650635f,
+ 0.551297962665558f, 0.497361570596695f, 0.551679372787476f, 0.497322082519531f,
+ 0.552060842514038f, 0.497282296419144f, 0.552442193031311f, 0.497242212295532f,
+ 0.552823603153229f, 0.497201830148697f, 0.553204894065857f, 0.497161179780960f,
+ 0.553586184978485f, 0.497120231389999f, 0.553967475891113f, 0.497078984975815f,
+ 0.554348707199097f, 0.497037440538406f, 0.554729938507080f, 0.496995598077774f,
+ 0.555111110210419f, 0.496953487396240f, 0.555492222309113f, 0.496911078691483f,
+ 0.555873334407806f, 0.496868371963501f, 0.556254446506500f, 0.496825367212296f,
+ 0.556635499000549f, 0.496782064437866f, 0.557016491889954f, 0.496738493442535f,
+ 0.557397484779358f, 0.496694594621658f, 0.557778418064117f, 0.496650427579880f,
+ 0.558159291744232f, 0.496605962514877f, 0.558540165424347f, 0.496561229228973f,
+ 0.558921039104462f, 0.496516168117523f, 0.559301853179932f, 0.496470838785172f,
+ 0.559682607650757f, 0.496425211429596f, 0.560063362121582f, 0.496379286050797f,
+ 0.560444056987762f, 0.496333062648773f, 0.560824692249298f, 0.496286571025848f,
+ 0.561205327510834f, 0.496239781379700f, 0.561585903167725f, 0.496192663908005f,
+ 0.561966478824615f, 0.496145308017731f, 0.562346994876862f, 0.496097624301910f,
+ 0.562727510929108f, 0.496049642562866f, 0.563107967376709f, 0.496001392602921f,
+ 0.563488364219666f, 0.495952844619751f, 0.563868701457977f, 0.495903998613358f,
+ 0.564249038696289f, 0.495854884386063f, 0.564629375934601f, 0.495805442333221f,
+ 0.565009593963623f, 0.495755732059479f, 0.565389811992645f, 0.495705723762512f,
+ 0.565770030021667f, 0.495655417442322f, 0.566150128841400f, 0.495604842901230f,
+ 0.566530287265778f, 0.495553970336914f, 0.566910326480865f, 0.495502769947052f,
+ 0.567290365695953f, 0.495451331138611f, 0.567670345306396f, 0.495399564504623f,
+ 0.568050265312195f, 0.495347499847412f, 0.568430185317993f, 0.495295166969299f,
+ 0.568810045719147f, 0.495242536067963f, 0.569189906120300f, 0.495189607143402f,
+ 0.569569647312164f, 0.495136409997940f, 0.569949388504028f, 0.495082914829254f,
+ 0.570329129695892f, 0.495029091835022f, 0.570708811283112f, 0.494975030422211f,
+ 0.571088373661041f, 0.494920641183853f, 0.571467995643616f, 0.494865983724594f,
+ 0.571847498416901f, 0.494810998439789f, 0.572227001190186f, 0.494755744934082f,
+ 0.572606444358826f, 0.494700223207474f, 0.572985887527466f, 0.494644373655319f,
+ 0.573365211486816f, 0.494588255882263f, 0.573744535446167f, 0.494531840085983f,
+ 0.574123859405518f, 0.494475126266479f, 0.574503064155579f, 0.494418144226074f,
+ 0.574882268905640f, 0.494360834360123f, 0.575261414051056f, 0.494303256273270f,
+ 0.575640499591827f, 0.494245409965515f, 0.576019585132599f, 0.494187235832214f,
+ 0.576398611068726f, 0.494128793478012f, 0.576777577400208f, 0.494070053100586f,
+ 0.577156484127045f, 0.494011014699936f, 0.577535390853882f, 0.493951678276062f,
+ 0.577914178371429f, 0.493892073631287f, 0.578292965888977f, 0.493832170963287f,
+ 0.578671753406525f, 0.493771970272064f, 0.579050421714783f, 0.493711471557617f,
+ 0.579429090023041f, 0.493650704622269f, 0.579807698726654f, 0.493589639663696f,
+ 0.580186247825623f, 0.493528276681900f, 0.580564737319946f, 0.493466645479202f,
+ 0.580943167209625f, 0.493404686450958f, 0.581321597099304f, 0.493342459201813f,
+ 0.581699967384338f, 0.493279963731766f, 0.582078278064728f, 0.493217140436172f,
+ 0.582456588745117f, 0.493154048919678f, 0.582834780216217f, 0.493090659379959f,
+ 0.583212971687317f, 0.493026971817017f, 0.583591103553772f, 0.492963016033173f,
+ 0.583969175815582f, 0.492898762226105f, 0.584347188472748f, 0.492834210395813f,
+ 0.584725141525269f, 0.492769360542297f, 0.585103094577789f, 0.492704242467880f,
+ 0.585480928421021f, 0.492638826370239f, 0.585858762264252f, 0.492573112249374f,
+ 0.586236536502838f, 0.492507129907608f, 0.586614251136780f, 0.492440819740295f,
+ 0.586991965770721f, 0.492374241352081f, 0.587369561195374f, 0.492307394742966f,
+ 0.587747097015381f, 0.492240220308304f, 0.588124632835388f, 0.492172777652740f,
+ 0.588502109050751f, 0.492105036973953f, 0.588879525661469f, 0.492037028074265f,
+ 0.589256882667542f, 0.491968721151352f, 0.589634180068970f, 0.491900116205215f,
+ 0.590011477470398f, 0.491831213235855f, 0.590388655662537f, 0.491762012243271f,
+ 0.590765833854675f, 0.491692543029785f, 0.591142892837524f, 0.491622805595398f,
+ 0.591519951820374f, 0.491552740335464f, 0.591896951198578f, 0.491482406854630f,
+ 0.592273890972137f, 0.491411775350571f, 0.592650771141052f, 0.491340845823288f,
+ 0.593027591705322f, 0.491269648075104f, 0.593404352664948f, 0.491198152303696f,
+ 0.593781054019928f, 0.491126358509064f, 0.594157755374908f, 0.491054296493530f,
+ 0.594534337520599f, 0.490981936454773f, 0.594910860061646f, 0.490909278392792f,
+ 0.595287382602692f, 0.490836352109909f, 0.595663845539093f, 0.490763127803802f,
+ 0.596040189266205f, 0.490689605474472f, 0.596416532993317f, 0.490615785121918f,
+ 0.596792817115784f, 0.490541696548462f, 0.597168982028961f, 0.490467309951782f,
+ 0.597545146942139f, 0.490392625331879f, 0.597921252250671f, 0.490317672491074f,
+ 0.598297297954559f, 0.490242421627045f, 0.598673284053802f, 0.490166902542114f,
+ 0.599049210548401f, 0.490091055631638f, 0.599425077438354f, 0.490014940500259f,
+ 0.599800884723663f, 0.489938557147980f, 0.600176632404327f, 0.489861875772476f,
+ 0.600552320480347f, 0.489784896373749f, 0.600927948951721f, 0.489707618951797f,
+ 0.601303517818451f, 0.489630073308945f, 0.601679027080536f, 0.489552229642868f,
+ 0.602054476737976f, 0.489474087953568f, 0.602429866790771f, 0.489395678043365f,
+ 0.602805197238922f, 0.489316970109940f, 0.603180468082428f, 0.489237964153290f,
+ 0.603555679321289f, 0.489158689975739f, 0.603930830955505f, 0.489079117774963f,
+ 0.604305922985077f, 0.488999247550964f, 0.604680955410004f, 0.488919109106064f,
+ 0.605055928230286f, 0.488838672637939f, 0.605430841445923f, 0.488757967948914f,
+ 0.605805635452271f, 0.488676935434341f, 0.606180429458618f, 0.488595664501190f,
+ 0.606555163860321f, 0.488514065742493f, 0.606929838657379f, 0.488432198762894f,
+ 0.607304394245148f, 0.488350033760071f, 0.607678949832916f, 0.488267600536346f,
+ 0.608053386211395f, 0.488184869289398f, 0.608427822589874f, 0.488101840019226f,
+ 0.608802139759064f, 0.488018542528152f, 0.609176397323608f, 0.487934947013855f,
+ 0.609550595283508f, 0.487851053476334f, 0.609924793243408f, 0.487766891717911f,
+ 0.610298871994019f, 0.487682431936264f, 0.610672831535339f, 0.487597703933716f,
+ 0.611046791076660f, 0.487512677907944f, 0.611420691013336f, 0.487427353858948f,
+ 0.611794531345367f, 0.487341761589050f, 0.612168252468109f, 0.487255871295929f,
+ 0.612541973590851f, 0.487169682979584f, 0.612915575504303f, 0.487083226442337f,
+ 0.613289117813110f, 0.486996471881866f, 0.613662600517273f, 0.486909449100494f,
+ 0.614036023616791f, 0.486822128295898f, 0.614409387111664f, 0.486734509468079f,
+ 0.614782691001892f, 0.486646622419357f, 0.615155875682831f, 0.486558437347412f,
+ 0.615529060363770f, 0.486469984054565f, 0.615902125835419f, 0.486381232738495f,
+ 0.616275131702423f, 0.486292183399200f, 0.616648077964783f, 0.486202865839005f,
+ 0.617020964622498f, 0.486113250255585f, 0.617393791675568f, 0.486023366451263f,
+ 0.617766559123993f, 0.485933154821396f, 0.618139207363129f, 0.485842704772949f,
+ 0.618511795997620f, 0.485751956701279f, 0.618884325027466f, 0.485660910606384f,
+ 0.619256794452667f, 0.485569566488266f, 0.619629204273224f, 0.485477954149246f,
+ 0.620001494884491f, 0.485386073589325f, 0.620373785495758f, 0.485293895006180f,
+ 0.620745956897736f, 0.485201418399811f, 0.621118068695068f, 0.485108673572540f,
+ 0.621490061283112f, 0.485015630722046f, 0.621862053871155f, 0.484922289848328f,
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+ 0.590765833854675f, -0.491692543029785f, 0.590388655662537f, -0.491762012243271f,
+ 0.590011477470398f, -0.491831213235855f, 0.589634180068970f, -0.491900116205215f,
+ 0.589256882667542f, -0.491968721151352f, 0.588879525661469f, -0.492037028074265f,
+ 0.588502109050751f, -0.492105036973953f, 0.588124632835388f, -0.492172777652740f,
+ 0.587747097015381f, -0.492240220308304f, 0.587369561195374f, -0.492307394742966f,
+ 0.586991965770721f, -0.492374241352081f, 0.586614251136780f, -0.492440819740295f,
+ 0.586236536502838f, -0.492507129907608f, 0.585858762264252f, -0.492573112249374f,
+ 0.585480928421021f, -0.492638826370239f, 0.585103094577789f, -0.492704242467880f,
+ 0.584725141525269f, -0.492769360542297f, 0.584347188472748f, -0.492834210395813f,
+ 0.583969175815582f, -0.492898762226105f, 0.583591103553772f, -0.492963016033173f,
+ 0.583212971687317f, -0.493026971817017f, 0.582834780216217f, -0.493090659379959f,
+ 0.582456588745117f, -0.493154048919678f, 0.582078278064728f, -0.493217140436172f,
+ 0.581699967384338f, -0.493279963731766f, 0.581321597099304f, -0.493342459201813f,
+ 0.580943167209625f, -0.493404686450958f, 0.580564737319946f, -0.493466645479202f,
+ 0.580186247825623f, -0.493528276681900f, 0.579807698726654f, -0.493589639663696f,
+ 0.579429090023041f, -0.493650704622269f, 0.579050421714783f, -0.493711471557617f,
+ 0.578671753406525f, -0.493771970272064f, 0.578292965888977f, -0.493832170963287f,
+ 0.577914178371429f, -0.493892073631287f, 0.577535390853882f, -0.493951678276062f,
+ 0.577156484127045f, -0.494011014699936f, 0.576777577400208f, -0.494070053100586f,
+ 0.576398611068726f, -0.494128793478012f, 0.576019585132599f, -0.494187235832214f,
+ 0.575640499591827f, -0.494245409965515f, 0.575261414051056f, -0.494303256273270f,
+ 0.574882268905640f, -0.494360834360123f, 0.574503064155579f, -0.494418144226074f,
+ 0.574123859405518f, -0.494475126266479f, 0.573744535446167f, -0.494531840085983f,
+ 0.573365211486816f, -0.494588255882263f, 0.572985887527466f, -0.494644373655319f,
+ 0.572606444358826f, -0.494700223207474f, 0.572227001190186f, -0.494755744934082f,
+ 0.571847498416901f, -0.494810998439789f, 0.571467995643616f, -0.494865983724594f,
+ 0.571088373661041f, -0.494920641183853f, 0.570708811283112f, -0.494975030422211f,
+ 0.570329129695892f, -0.495029091835022f, 0.569949388504028f, -0.495082914829254f,
+ 0.569569647312164f, -0.495136409997940f, 0.569189906120300f, -0.495189607143402f,
+ 0.568810045719147f, -0.495242536067963f, 0.568430185317993f, -0.495295166969299f,
+ 0.568050265312195f, -0.495347499847412f, 0.567670345306396f, -0.495399564504623f,
+ 0.567290365695953f, -0.495451331138611f, 0.566910326480865f, -0.495502769947052f,
+ 0.566530287265778f, -0.495553970336914f, 0.566150128841400f, -0.495604842901230f,
+ 0.565770030021667f, -0.495655417442322f, 0.565389811992645f, -0.495705723762512f,
+ 0.565009593963623f, -0.495755732059479f, 0.564629375934601f, -0.495805442333221f,
+ 0.564249038696289f, -0.495854884386063f, 0.563868701457977f, -0.495903998613358f,
+ 0.563488364219666f, -0.495952844619751f, 0.563107967376709f, -0.496001392602921f,
+ 0.562727510929108f, -0.496049642562866f, 0.562346994876862f, -0.496097624301910f,
+ 0.561966478824615f, -0.496145308017731f, 0.561585903167725f, -0.496192663908005f,
+ 0.561205327510834f, -0.496239781379700f, 0.560824692249298f, -0.496286571025848f,
+ 0.560444056987762f, -0.496333062648773f, 0.560063362121582f, -0.496379286050797f,
+ 0.559682607650757f, -0.496425211429596f, 0.559301853179932f, -0.496470838785172f,
+ 0.558921039104462f, -0.496516168117523f, 0.558540165424347f, -0.496561229228973f,
+ 0.558159291744232f, -0.496605962514877f, 0.557778418064117f, -0.496650427579880f,
+ 0.557397484779358f, -0.496694594621658f, 0.557016491889954f, -0.496738493442535f,
+ 0.556635499000549f, -0.496782064437866f, 0.556254446506500f, -0.496825367212296f,
+ 0.555873334407806f, -0.496868371963501f, 0.555492222309113f, -0.496911078691483f,
+ 0.555111110210419f, -0.496953487396240f, 0.554729938507080f, -0.496995598077774f,
+ 0.554348707199097f, -0.497037440538406f, 0.553967475891113f, -0.497078984975815f,
+ 0.553586184978485f, -0.497120231389999f, 0.553204894065857f, -0.497161179780960f,
+ 0.552823603153229f, -0.497201830148697f, 0.552442193031311f, -0.497242212295532f,
+ 0.552060842514038f, -0.497282296419144f, 0.551679372787476f, -0.497322082519531f,
+ 0.551297962665558f, -0.497361570596695f, 0.550916433334351f, -0.497400760650635f,
+ 0.550534904003143f, -0.497439652681351f, 0.550153374671936f, -0.497478276491165f,
+ 0.549771785736084f, -0.497516602277756f, 0.549390196800232f, -0.497554630041122f,
+ 0.549008548259735f, -0.497592359781265f, 0.548626899719238f, -0.497629791498184f,
+ 0.548245191574097f, -0.497666954994202f, 0.547863483428955f, -0.497703820466995f,
+ 0.547481775283813f, -0.497740387916565f, 0.547099947929382f, -0.497776657342911f,
+ 0.546718180179596f, -0.497812628746033f, 0.546336352825165f, -0.497848302125931f,
+ 0.545954465866089f, -0.497883707284927f, 0.545572578907013f, -0.497918814420700f,
+ 0.545190691947937f, -0.497953623533249f, 0.544808745384216f, -0.497988134622574f,
+ 0.544426798820496f, -0.498022347688675f, 0.544044792652130f, -0.498056292533875f,
+ 0.543662786483765f, -0.498089909553528f, 0.543280720710754f, -0.498123258352280f,
+ 0.542898654937744f, -0.498156309127808f, 0.542516589164734f, -0.498189061880112f,
+ 0.542134463787079f, -0.498221516609192f, 0.541752278804779f, -0.498253703117371f,
+ 0.541370153427124f, -0.498285561800003f, 0.540987968444824f, -0.498317152261734f,
+ 0.540605723857880f, -0.498348444700241f, 0.540223479270935f, -0.498379439115524f,
+ 0.539841234683990f, -0.498410135507584f, 0.539458930492401f, -0.498440563678741f,
+ 0.539076626300812f, -0.498470664024353f, 0.538694262504578f, -0.498500496149063f,
+ 0.538311958312988f, -0.498530030250549f, 0.537929534912109f, -0.498559266328812f,
+ 0.537547171115875f, -0.498588204383850f, 0.537164747714996f, -0.498616874217987f,
+ 0.536782264709473f, -0.498645216226578f, 0.536399841308594f, -0.498673290014267f,
+ 0.536017298698425f, -0.498701065778732f, 0.535634815692902f, -0.498728543519974f,
+ 0.535252273082733f, -0.498755723237991f, 0.534869730472565f, -0.498782604932785f,
+ 0.534487187862396f, -0.498809218406677f, 0.534104585647583f, -0.498835533857346f,
+ 0.533721983432770f, -0.498861521482468f, 0.533339321613312f, -0.498887240886688f,
+ 0.532956659793854f, -0.498912662267685f, 0.532573997974396f, -0.498937815427780f,
+ 0.532191336154938f, -0.498962640762329f, 0.531808614730835f, -0.498987197875977f,
+ 0.531425893306732f, -0.499011427164078f, 0.531043112277985f, -0.499035388231277f,
+ 0.530660390853882f, -0.499059051275253f, 0.530277609825134f, -0.499082416296005f,
+ 0.529894769191742f, -0.499105513095856f, 0.529511988162994f, -0.499128282070160f,
+ 0.529129147529602f, -0.499150782823563f, 0.528746306896210f, -0.499172955751419f,
+ 0.528363406658173f, -0.499194860458374f, 0.527980506420136f, -0.499216467142105f,
+ 0.527597606182098f, -0.499237775802612f, 0.527214705944061f, -0.499258816242218f,
+ 0.526831746101379f, -0.499279528856277f, 0.526448845863342f, -0.499299973249435f,
+ 0.526065826416016f, -0.499320119619370f, 0.525682866573334f, -0.499339967966080f,
+ 0.525299847126007f, -0.499359518289566f, 0.524916887283325f, -0.499378770589828f,
+ 0.524533808231354f, -0.499397724866867f, 0.524150788784027f, -0.499416410923004f,
+ 0.523767769336700f, -0.499434769153595f, 0.523384690284729f, -0.499452859163284f,
+ 0.523001611232758f, -0.499470651149750f, 0.522618472576141f, -0.499488145112991f,
+ 0.522235393524170f, -0.499505341053009f, 0.521852254867554f, -0.499522238969803f,
+ 0.521469116210938f, -0.499538868665695f, 0.521085977554321f, -0.499555170536041f,
+ 0.520702838897705f, -0.499571204185486f, 0.520319640636444f, -0.499586939811707f,
+ 0.519936442375183f, -0.499602377414703f, 0.519553244113922f, -0.499617516994476f,
+ 0.519170045852661f, -0.499632388353348f, 0.518786847591400f, -0.499646931886673f,
+ 0.518403589725494f, -0.499661177396774f, 0.518020391464233f, -0.499675154685974f,
+ 0.517637133598328f, -0.499688833951950f, 0.517253875732422f, -0.499702215194702f,
+ 0.516870558261871f, -0.499715298414230f, 0.516487300395966f, -0.499728083610535f,
+ 0.516103982925415f, -0.499740600585938f, 0.515720725059509f, -0.499752789735794f,
+ 0.515337407588959f, -0.499764710664749f, 0.514954090118408f, -0.499776333570480f,
+ 0.514570772647858f, -0.499787658452988f, 0.514187395572662f, -0.499798685312271f,
+ 0.513804078102112f, -0.499809414148331f, 0.513420701026917f, -0.499819844961166f,
+ 0.513037383556366f, -0.499830007553101f, 0.512654006481171f, -0.499839842319489f,
+ 0.512270629405975f, -0.499849408864975f, 0.511887252330780f, -0.499858677387238f,
+ 0.511503815650940f, -0.499867647886276f, 0.511120438575745f, -0.499876320362091f,
+ 0.510737061500549f, -0.499884694814682f, 0.510353624820709f, -0.499892801046371f,
+ 0.509970188140869f, -0.499900579452515f, 0.509586811065674f, -0.499908089637756f,
+ 0.509203374385834f, -0.499915301799774f, 0.508819937705994f, -0.499922215938568f,
+ 0.508436501026154f, -0.499928832054138f, 0.508053064346313f, -0.499935150146484f,
+ 0.507669627666473f, -0.499941170215607f, 0.507286131381989f, -0.499946922063828f,
+ 0.506902694702148f, -0.499952346086502f, 0.506519258022308f, -0.499957501888275f,
+ 0.506135761737823f, -0.499962359666824f, 0.505752325057983f, -0.499966919422150f,
+ 0.505368828773499f, -0.499971181154251f, 0.504985332489014f, -0.499975144863129f,
+ 0.504601895809174f, -0.499978810548782f, 0.504218399524689f, -0.499982208013535f,
+ 0.503834903240204f, -0.499985307455063f, 0.503451406955719f, -0.499988079071045f,
+ 0.503067970275879f, -0.499990582466125f, 0.502684473991394f, -0.499992787837982f,
+ 0.502300977706909f, -0.499994695186615f, 0.501917481422424f, -0.499996334314346f,
+ 0.501533985137939f, -0.499997645616531f, 0.501150488853455f, -0.499998688697815f,
+ 0.500766992568970f, -0.499999403953552f, 0.500383496284485f, -0.499999850988388f,
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31)
+/**
+ @par
+ Generation fixed-point realCoefAQ31 array in Q31 format:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+ pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q31 format
+ round(pATable[i] * pow(2, 31))
+*/
+const q31_t realCoefAQ31[8192] = {
+ (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c,
+ (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a,
+ (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8,
+ (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74,
+ (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee,
+ (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547,
+ (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e,
+ (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594,
+ (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489,
+ (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c,
+ (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d,
+ (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c,
+ (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a,
+ (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356,
+ (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80,
+ (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188,
+ (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e,
+ (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731,
+ (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3,
+ (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452,
+ (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae,
+ (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8,
+ (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff,
+ (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3,
+ (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4,
+ (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872,
+ (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd,
+ (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364,
+ (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8,
+ (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7,
+ (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3,
+ (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b,
+ (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e,
+ (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd,
+ (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047,
+ (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c,
+ (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac,
+ (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7,
+ (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c,
+ (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b,
+ (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5,
+ (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018,
+ (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54,
+ (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a,
+ (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859,
+ (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421,
+ (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1,
+ (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939,
+ (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289,
+ (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1,
+ (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0,
+ (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986,
+ (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33,
+ (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6,
+ (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910,
+ (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f,
+ (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44,
+ (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d,
+ (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc,
+ (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f,
+ (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6,
+ (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1,
+ (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf,
+ (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1,
+ (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145,
+ (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb,
+ (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03,
+ (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d,
+ (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07,
+ (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3,
+ (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e,
+ (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa,
+ (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4,
+ (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce,
+ (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97,
+ (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e,
+ (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92,
+ (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3,
+ (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2,
+ (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c,
+ (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223,
+ (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85,
+ (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2,
+ (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9,
+ (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a,
+ (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5,
+ (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548,
+ (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64,
+ (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48,
+ (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3,
+ (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065,
+ (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d,
+ (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b,
+ (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e,
+ (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6,
+ (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33,
+ (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42,
+ (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815,
+ (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa,
+ (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901,
+ (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019,
+ (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2,
+ (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a,
+ (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3,
+ (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa,
+ (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf,
+ (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762,
+ (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2,
+ (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be,
+ (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686,
+ (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09,
+ (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147,
+ (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e,
+ (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee,
+ (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257,
+ (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77,
+ (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f,
+ (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add,
+ (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120,
+ (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119,
+ (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6,
+ (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26,
+ (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39,
+ (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff,
+ (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276,
+ (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d,
+ (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075,
+ (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb,
+ (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530,
+ (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613,
+ (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3,
+ (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df,
+ (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6,
+ (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58,
+ (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94,
+ (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678,
+ (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05,
+ (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a,
+ (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, (q31_t)0xc1706115,
+ (q31_t)0x3274f5c3, (q31_t)0xc17308a1, (q31_t)0x3268ade3, (q31_t)0xc175b296,
+ (q31_t)0x325c6688, (q31_t)0xc1785ef4, (q31_t)0x32501fb5, (q31_t)0xc17b0dbb,
+ (q31_t)0x3243d968, (q31_t)0xc17dbeec, (q31_t)0x323793a3, (q31_t)0xc1807285,
+ (q31_t)0x322b4e66, (q31_t)0xc1832888, (q31_t)0x321f09b1, (q31_t)0xc185e0f3,
+ (q31_t)0x3212c585, (q31_t)0xc1889bc6, (q31_t)0x320681e3, (q31_t)0xc18b5903,
+ (q31_t)0x31fa3ecb, (q31_t)0xc18e18a7, (q31_t)0x31edfc3d, (q31_t)0xc190dab4,
+ (q31_t)0x31e1ba3a, (q31_t)0xc1939f29, (q31_t)0x31d578c2, (q31_t)0xc1966606,
+ (q31_t)0x31c937d6, (q31_t)0xc1992f4c, (q31_t)0x31bcf777, (q31_t)0xc19bfaf9,
+ (q31_t)0x31b0b7a4, (q31_t)0xc19ec90d, (q31_t)0x31a4785e, (q31_t)0xc1a1998a,
+ (q31_t)0x319839a6, (q31_t)0xc1a46c6e, (q31_t)0x318bfb7d, (q31_t)0xc1a741b9,
+ (q31_t)0x317fbde2, (q31_t)0xc1aa196c, (q31_t)0x317380d6, (q31_t)0xc1acf386,
+ (q31_t)0x31674459, (q31_t)0xc1afd007, (q31_t)0x315b086d, (q31_t)0xc1b2aef0,
+ (q31_t)0x314ecd11, (q31_t)0xc1b5903f, (q31_t)0x31429247, (q31_t)0xc1b873f5,
+ (q31_t)0x3136580d, (q31_t)0xc1bb5a11, (q31_t)0x312a1e66, (q31_t)0xc1be4294,
+ (q31_t)0x311de551, (q31_t)0xc1c12d7e, (q31_t)0x3111accf, (q31_t)0xc1c41ace,
+ (q31_t)0x310574e0, (q31_t)0xc1c70a84, (q31_t)0x30f93d86, (q31_t)0xc1c9fca0,
+ (q31_t)0x30ed06bf, (q31_t)0xc1ccf122, (q31_t)0x30e0d08d, (q31_t)0xc1cfe80a,
+ (q31_t)0x30d49af1, (q31_t)0xc1d2e158, (q31_t)0x30c865ea, (q31_t)0xc1d5dd0c,
+ (q31_t)0x30bc317a, (q31_t)0xc1d8db25, (q31_t)0x30affda0, (q31_t)0xc1dbdba3,
+ (q31_t)0x30a3ca5d, (q31_t)0xc1dede87, (q31_t)0x309797b2, (q31_t)0xc1e1e3d0,
+ (q31_t)0x308b659f, (q31_t)0xc1e4eb7e, (q31_t)0x307f3424, (q31_t)0xc1e7f591,
+ (q31_t)0x30730342, (q31_t)0xc1eb0209, (q31_t)0x3066d2fa, (q31_t)0xc1ee10e5,
+ (q31_t)0x305aa34c, (q31_t)0xc1f12227, (q31_t)0x304e7438, (q31_t)0xc1f435cc,
+ (q31_t)0x304245c0, (q31_t)0xc1f74bd6, (q31_t)0x303617e2, (q31_t)0xc1fa6445,
+ (q31_t)0x3029eaa1, (q31_t)0xc1fd7f17, (q31_t)0x301dbdfb, (q31_t)0xc2009c4e,
+ (q31_t)0x301191f3, (q31_t)0xc203bbe8, (q31_t)0x30056687, (q31_t)0xc206dde6,
+ (q31_t)0x2ff93bba, (q31_t)0xc20a0248, (q31_t)0x2fed118a, (q31_t)0xc20d290d,
+ (q31_t)0x2fe0e7f9, (q31_t)0xc2105236, (q31_t)0x2fd4bf08, (q31_t)0xc2137dc2,
+ (q31_t)0x2fc896b5, (q31_t)0xc216abb1, (q31_t)0x2fbc6f03, (q31_t)0xc219dc03,
+ (q31_t)0x2fb047f2, (q31_t)0xc21d0eb8, (q31_t)0x2fa42181, (q31_t)0xc22043d0,
+ (q31_t)0x2f97fbb2, (q31_t)0xc2237b4b, (q31_t)0x2f8bd685, (q31_t)0xc226b528,
+ (q31_t)0x2f7fb1fa, (q31_t)0xc229f167, (q31_t)0x2f738e12, (q31_t)0xc22d3009,
+ (q31_t)0x2f676ace, (q31_t)0xc230710d, (q31_t)0x2f5b482d, (q31_t)0xc233b473,
+ (q31_t)0x2f4f2630, (q31_t)0xc236fa3b, (q31_t)0x2f4304d8, (q31_t)0xc23a4265,
+ (q31_t)0x2f36e426, (q31_t)0xc23d8cf1, (q31_t)0x2f2ac419, (q31_t)0xc240d9de,
+ (q31_t)0x2f1ea4b2, (q31_t)0xc244292c, (q31_t)0x2f1285f2, (q31_t)0xc2477adc,
+ (q31_t)0x2f0667d9, (q31_t)0xc24aceed, (q31_t)0x2efa4a67, (q31_t)0xc24e255e,
+ (q31_t)0x2eee2d9d, (q31_t)0xc2517e31, (q31_t)0x2ee2117c, (q31_t)0xc254d965,
+ (q31_t)0x2ed5f604, (q31_t)0xc25836f9, (q31_t)0x2ec9db35, (q31_t)0xc25b96ee,
+ (q31_t)0x2ebdc110, (q31_t)0xc25ef943, (q31_t)0x2eb1a796, (q31_t)0xc2625df8,
+ (q31_t)0x2ea58ec6, (q31_t)0xc265c50e, (q31_t)0x2e9976a1, (q31_t)0xc2692e83,
+ (q31_t)0x2e8d5f29, (q31_t)0xc26c9a58, (q31_t)0x2e81485c, (q31_t)0xc270088e,
+ (q31_t)0x2e75323c, (q31_t)0xc2737922, (q31_t)0x2e691cc9, (q31_t)0xc276ec16,
+ (q31_t)0x2e5d0804, (q31_t)0xc27a616a, (q31_t)0x2e50f3ed, (q31_t)0xc27dd91c,
+ (q31_t)0x2e44e084, (q31_t)0xc281532e, (q31_t)0x2e38cdcb, (q31_t)0xc284cf9f,
+ (q31_t)0x2e2cbbc1, (q31_t)0xc2884e6e, (q31_t)0x2e20aa67, (q31_t)0xc28bcf9c,
+ (q31_t)0x2e1499bd, (q31_t)0xc28f5329, (q31_t)0x2e0889c4, (q31_t)0xc292d914,
+ (q31_t)0x2dfc7a7c, (q31_t)0xc296615d, (q31_t)0x2df06be6, (q31_t)0xc299ec05,
+ (q31_t)0x2de45e03, (q31_t)0xc29d790a, (q31_t)0x2dd850d2, (q31_t)0xc2a1086d,
+ (q31_t)0x2dcc4454, (q31_t)0xc2a49a2e, (q31_t)0x2dc0388a, (q31_t)0xc2a82e4d,
+ (q31_t)0x2db42d74, (q31_t)0xc2abc4c9, (q31_t)0x2da82313, (q31_t)0xc2af5da2,
+ (q31_t)0x2d9c1967, (q31_t)0xc2b2f8d8, (q31_t)0x2d901070, (q31_t)0xc2b6966c,
+ (q31_t)0x2d84082f, (q31_t)0xc2ba365c, (q31_t)0x2d7800a5, (q31_t)0xc2bdd8a9,
+ (q31_t)0x2d6bf9d1, (q31_t)0xc2c17d52, (q31_t)0x2d5ff3b5, (q31_t)0xc2c52459,
+ (q31_t)0x2d53ee51, (q31_t)0xc2c8cdbb, (q31_t)0x2d47e9a5, (q31_t)0xc2cc7979,
+ (q31_t)0x2d3be5b1, (q31_t)0xc2d02794, (q31_t)0x2d2fe277, (q31_t)0xc2d3d80a,
+ (q31_t)0x2d23dff7, (q31_t)0xc2d78add, (q31_t)0x2d17de31, (q31_t)0xc2db400a,
+ (q31_t)0x2d0bdd25, (q31_t)0xc2def794, (q31_t)0x2cffdcd4, (q31_t)0xc2e2b178,
+ (q31_t)0x2cf3dd3f, (q31_t)0xc2e66db8, (q31_t)0x2ce7de66, (q31_t)0xc2ea2c53,
+ (q31_t)0x2cdbe04a, (q31_t)0xc2eded49, (q31_t)0x2ccfe2ea, (q31_t)0xc2f1b099,
+ (q31_t)0x2cc3e648, (q31_t)0xc2f57644, (q31_t)0x2cb7ea63, (q31_t)0xc2f93e4a,
+ (q31_t)0x2cabef3d, (q31_t)0xc2fd08a9, (q31_t)0x2c9ff4d6, (q31_t)0xc300d563,
+ (q31_t)0x2c93fb2e, (q31_t)0xc304a477, (q31_t)0x2c880245, (q31_t)0xc30875e5,
+ (q31_t)0x2c7c0a1d, (q31_t)0xc30c49ad, (q31_t)0x2c7012b5, (q31_t)0xc3101fce,
+ (q31_t)0x2c641c0e, (q31_t)0xc313f848, (q31_t)0x2c582629, (q31_t)0xc317d31c,
+ (q31_t)0x2c4c3106, (q31_t)0xc31bb049, (q31_t)0x2c403ca5, (q31_t)0xc31f8fcf,
+ (q31_t)0x2c344908, (q31_t)0xc32371ae, (q31_t)0x2c28562d, (q31_t)0xc32755e5,
+ (q31_t)0x2c1c6417, (q31_t)0xc32b3c75, (q31_t)0x2c1072c4, (q31_t)0xc32f255e,
+ (q31_t)0x2c048237, (q31_t)0xc333109e, (q31_t)0x2bf8926f, (q31_t)0xc336fe37,
+ (q31_t)0x2beca36c, (q31_t)0xc33aee27, (q31_t)0x2be0b52f, (q31_t)0xc33ee070,
+ (q31_t)0x2bd4c7ba, (q31_t)0xc342d510, (q31_t)0x2bc8db0b, (q31_t)0xc346cc07,
+ (q31_t)0x2bbcef23, (q31_t)0xc34ac556, (q31_t)0x2bb10404, (q31_t)0xc34ec0fc,
+ (q31_t)0x2ba519ad, (q31_t)0xc352bef9, (q31_t)0x2b99301f, (q31_t)0xc356bf4d,
+ (q31_t)0x2b8d475b, (q31_t)0xc35ac1f7, (q31_t)0x2b815f60, (q31_t)0xc35ec6f8,
+ (q31_t)0x2b75782f, (q31_t)0xc362ce50, (q31_t)0x2b6991ca, (q31_t)0xc366d7fd,
+ (q31_t)0x2b5dac2f, (q31_t)0xc36ae401, (q31_t)0x2b51c760, (q31_t)0xc36ef25b,
+ (q31_t)0x2b45e35d, (q31_t)0xc373030a, (q31_t)0x2b3a0027, (q31_t)0xc377160f,
+ (q31_t)0x2b2e1dbe, (q31_t)0xc37b2b6a, (q31_t)0x2b223c22, (q31_t)0xc37f4319,
+ (q31_t)0x2b165b54, (q31_t)0xc3835d1e, (q31_t)0x2b0a7b54, (q31_t)0xc3877978,
+ (q31_t)0x2afe9c24, (q31_t)0xc38b9827, (q31_t)0x2af2bdc3, (q31_t)0xc38fb92a,
+ (q31_t)0x2ae6e031, (q31_t)0xc393dc82, (q31_t)0x2adb0370, (q31_t)0xc398022f,
+ (q31_t)0x2acf277f, (q31_t)0xc39c2a2f, (q31_t)0x2ac34c60, (q31_t)0xc3a05484,
+ (q31_t)0x2ab77212, (q31_t)0xc3a4812c, (q31_t)0x2aab9896, (q31_t)0xc3a8b028,
+ (q31_t)0x2a9fbfed, (q31_t)0xc3ace178, (q31_t)0x2a93e817, (q31_t)0xc3b1151b,
+ (q31_t)0x2a881114, (q31_t)0xc3b54b11, (q31_t)0x2a7c3ae5, (q31_t)0xc3b9835a,
+ (q31_t)0x2a70658a, (q31_t)0xc3bdbdf6, (q31_t)0x2a649105, (q31_t)0xc3c1fae5,
+ (q31_t)0x2a58bd54, (q31_t)0xc3c63a26, (q31_t)0x2a4cea79, (q31_t)0xc3ca7bba,
+ (q31_t)0x2a411874, (q31_t)0xc3cebfa0, (q31_t)0x2a354746, (q31_t)0xc3d305d8,
+ (q31_t)0x2a2976ef, (q31_t)0xc3d74e62, (q31_t)0x2a1da770, (q31_t)0xc3db993e,
+ (q31_t)0x2a11d8c8, (q31_t)0xc3dfe66c, (q31_t)0x2a060af9, (q31_t)0xc3e435ea,
+ (q31_t)0x29fa3e03, (q31_t)0xc3e887bb, (q31_t)0x29ee71e6, (q31_t)0xc3ecdbdc,
+ (q31_t)0x29e2a6a3, (q31_t)0xc3f1324e, (q31_t)0x29d6dc3b, (q31_t)0xc3f58b10,
+ (q31_t)0x29cb12ad, (q31_t)0xc3f9e624, (q31_t)0x29bf49fa, (q31_t)0xc3fe4388,
+ (q31_t)0x29b38223, (q31_t)0xc402a33c, (q31_t)0x29a7bb28, (q31_t)0xc4070540,
+ (q31_t)0x299bf509, (q31_t)0xc40b6994, (q31_t)0x29902fc7, (q31_t)0xc40fd037,
+ (q31_t)0x29846b63, (q31_t)0xc414392b, (q31_t)0x2978a7dd, (q31_t)0xc418a46d,
+ (q31_t)0x296ce535, (q31_t)0xc41d11ff, (q31_t)0x2961236c, (q31_t)0xc42181e0,
+ (q31_t)0x29556282, (q31_t)0xc425f410, (q31_t)0x2949a278, (q31_t)0xc42a688f,
+ (q31_t)0x293de34e, (q31_t)0xc42edf5c, (q31_t)0x29322505, (q31_t)0xc4335877,
+ (q31_t)0x2926679c, (q31_t)0xc437d3e1, (q31_t)0x291aab16, (q31_t)0xc43c5199,
+ (q31_t)0x290eef71, (q31_t)0xc440d19e, (q31_t)0x290334af, (q31_t)0xc44553f2,
+ (q31_t)0x28f77acf, (q31_t)0xc449d892, (q31_t)0x28ebc1d3, (q31_t)0xc44e5f80,
+ (q31_t)0x28e009ba, (q31_t)0xc452e8bc, (q31_t)0x28d45286, (q31_t)0xc4577444,
+ (q31_t)0x28c89c37, (q31_t)0xc45c0219, (q31_t)0x28bce6cd, (q31_t)0xc460923b,
+ (q31_t)0x28b13248, (q31_t)0xc46524a9, (q31_t)0x28a57ea9, (q31_t)0xc469b963,
+ (q31_t)0x2899cbf1, (q31_t)0xc46e5069, (q31_t)0x288e1a20, (q31_t)0xc472e9bc,
+ (q31_t)0x28826936, (q31_t)0xc477855a, (q31_t)0x2876b934, (q31_t)0xc47c2344,
+ (q31_t)0x286b0a1a, (q31_t)0xc480c379, (q31_t)0x285f5be9, (q31_t)0xc48565f9,
+ (q31_t)0x2853aea1, (q31_t)0xc48a0ac4, (q31_t)0x28480243, (q31_t)0xc48eb1db,
+ (q31_t)0x283c56cf, (q31_t)0xc4935b3c, (q31_t)0x2830ac45, (q31_t)0xc49806e7,
+ (q31_t)0x282502a7, (q31_t)0xc49cb4dd, (q31_t)0x281959f4, (q31_t)0xc4a1651c,
+ (q31_t)0x280db22d, (q31_t)0xc4a617a6, (q31_t)0x28020b52, (q31_t)0xc4aacc7a,
+ (q31_t)0x27f66564, (q31_t)0xc4af8397, (q31_t)0x27eac063, (q31_t)0xc4b43cfd,
+ (q31_t)0x27df1c50, (q31_t)0xc4b8f8ad, (q31_t)0x27d3792b, (q31_t)0xc4bdb6a6,
+ (q31_t)0x27c7d6f4, (q31_t)0xc4c276e8, (q31_t)0x27bc35ad, (q31_t)0xc4c73972,
+ (q31_t)0x27b09555, (q31_t)0xc4cbfe45, (q31_t)0x27a4f5ed, (q31_t)0xc4d0c560,
+ (q31_t)0x27995776, (q31_t)0xc4d58ec3, (q31_t)0x278db9ef, (q31_t)0xc4da5a6f,
+ (q31_t)0x27821d59, (q31_t)0xc4df2862, (q31_t)0x277681b6, (q31_t)0xc4e3f89c,
+ (q31_t)0x276ae704, (q31_t)0xc4e8cb1e, (q31_t)0x275f4d45, (q31_t)0xc4ed9fe7,
+ (q31_t)0x2753b479, (q31_t)0xc4f276f7, (q31_t)0x27481ca1, (q31_t)0xc4f7504e,
+ (q31_t)0x273c85bc, (q31_t)0xc4fc2bec, (q31_t)0x2730efcc, (q31_t)0xc50109d0,
+ (q31_t)0x27255ad1, (q31_t)0xc505e9fb, (q31_t)0x2719c6cb, (q31_t)0xc50acc6b,
+ (q31_t)0x270e33bb, (q31_t)0xc50fb121, (q31_t)0x2702a1a1, (q31_t)0xc514981d,
+ (q31_t)0x26f7107e, (q31_t)0xc519815f, (q31_t)0x26eb8052, (q31_t)0xc51e6ce6,
+ (q31_t)0x26dff11d, (q31_t)0xc5235ab2, (q31_t)0x26d462e1, (q31_t)0xc5284ac3,
+ (q31_t)0x26c8d59c, (q31_t)0xc52d3d18, (q31_t)0x26bd4951, (q31_t)0xc53231b3,
+ (q31_t)0x26b1bdff, (q31_t)0xc5372891, (q31_t)0x26a633a6, (q31_t)0xc53c21b4,
+ (q31_t)0x269aaa48, (q31_t)0xc5411d1b, (q31_t)0x268f21e5, (q31_t)0xc5461ac6,
+ (q31_t)0x26839a7c, (q31_t)0xc54b1ab4, (q31_t)0x26781410, (q31_t)0xc5501ce5,
+ (q31_t)0x266c8e9f, (q31_t)0xc555215a, (q31_t)0x26610a2a, (q31_t)0xc55a2812,
+ (q31_t)0x265586b3, (q31_t)0xc55f310d, (q31_t)0x264a0438, (q31_t)0xc5643c4a,
+ (q31_t)0x263e82bc, (q31_t)0xc56949ca, (q31_t)0x2633023e, (q31_t)0xc56e598c,
+ (q31_t)0x262782be, (q31_t)0xc5736b90, (q31_t)0x261c043d, (q31_t)0xc5787fd6,
+ (q31_t)0x261086bc, (q31_t)0xc57d965d, (q31_t)0x26050a3b, (q31_t)0xc582af26,
+ (q31_t)0x25f98ebb, (q31_t)0xc587ca31, (q31_t)0x25ee143b, (q31_t)0xc58ce77c,
+ (q31_t)0x25e29abc, (q31_t)0xc5920708, (q31_t)0x25d72240, (q31_t)0xc59728d5,
+ (q31_t)0x25cbaac5, (q31_t)0xc59c4ce3, (q31_t)0x25c0344d, (q31_t)0xc5a17330,
+ (q31_t)0x25b4bed8, (q31_t)0xc5a69bbe, (q31_t)0x25a94a67, (q31_t)0xc5abc68c,
+ (q31_t)0x259dd6f9, (q31_t)0xc5b0f399, (q31_t)0x25926490, (q31_t)0xc5b622e6,
+ (q31_t)0x2586f32c, (q31_t)0xc5bb5472, (q31_t)0x257b82cd, (q31_t)0xc5c0883d,
+ (q31_t)0x25701374, (q31_t)0xc5c5be47, (q31_t)0x2564a521, (q31_t)0xc5caf690,
+ (q31_t)0x255937d5, (q31_t)0xc5d03118, (q31_t)0x254dcb8f, (q31_t)0xc5d56ddd,
+ (q31_t)0x25426051, (q31_t)0xc5daace1, (q31_t)0x2536f61b, (q31_t)0xc5dfee22,
+ (q31_t)0x252b8cee, (q31_t)0xc5e531a1, (q31_t)0x252024c9, (q31_t)0xc5ea775e,
+ (q31_t)0x2514bdad, (q31_t)0xc5efbf58, (q31_t)0x2509579b, (q31_t)0xc5f5098f,
+ (q31_t)0x24fdf294, (q31_t)0xc5fa5603, (q31_t)0x24f28e96, (q31_t)0xc5ffa4b3,
+ (q31_t)0x24e72ba4, (q31_t)0xc604f5a0, (q31_t)0x24dbc9bd, (q31_t)0xc60a48c9,
+ (q31_t)0x24d068e2, (q31_t)0xc60f9e2e, (q31_t)0x24c50914, (q31_t)0xc614f5cf,
+ (q31_t)0x24b9aa52, (q31_t)0xc61a4fac, (q31_t)0x24ae4c9d, (q31_t)0xc61fabc4,
+ (q31_t)0x24a2eff6, (q31_t)0xc6250a18, (q31_t)0x2497945d, (q31_t)0xc62a6aa6,
+ (q31_t)0x248c39d3, (q31_t)0xc62fcd6f, (q31_t)0x2480e057, (q31_t)0xc6353273,
+ (q31_t)0x247587eb, (q31_t)0xc63a99b1, (q31_t)0x246a308f, (q31_t)0xc6400329,
+ (q31_t)0x245eda43, (q31_t)0xc6456edb, (q31_t)0x24538507, (q31_t)0xc64adcc7,
+ (q31_t)0x244830dd, (q31_t)0xc6504ced, (q31_t)0x243cddc4, (q31_t)0xc655bf4c,
+ (q31_t)0x24318bbe, (q31_t)0xc65b33e4, (q31_t)0x24263ac9, (q31_t)0xc660aab5,
+ (q31_t)0x241aeae8, (q31_t)0xc66623be, (q31_t)0x240f9c1a, (q31_t)0xc66b9f01,
+ (q31_t)0x24044e60, (q31_t)0xc6711c7b, (q31_t)0x23f901ba, (q31_t)0xc6769c2e,
+ (q31_t)0x23edb628, (q31_t)0xc67c1e18, (q31_t)0x23e26bac, (q31_t)0xc681a23a,
+ (q31_t)0x23d72245, (q31_t)0xc6872894, (q31_t)0x23cbd9f4, (q31_t)0xc68cb124,
+ (q31_t)0x23c092b9, (q31_t)0xc6923bec, (q31_t)0x23b54c95, (q31_t)0xc697c8eb,
+ (q31_t)0x23aa0788, (q31_t)0xc69d5820, (q31_t)0x239ec393, (q31_t)0xc6a2e98b,
+ (q31_t)0x239380b6, (q31_t)0xc6a87d2d, (q31_t)0x23883ef2, (q31_t)0xc6ae1304,
+ (q31_t)0x237cfe47, (q31_t)0xc6b3ab12, (q31_t)0x2371beb5, (q31_t)0xc6b94554,
+ (q31_t)0x2366803c, (q31_t)0xc6bee1cd, (q31_t)0x235b42df, (q31_t)0xc6c4807a,
+ (q31_t)0x2350069b, (q31_t)0xc6ca215c, (q31_t)0x2344cb73, (q31_t)0xc6cfc472,
+ (q31_t)0x23399167, (q31_t)0xc6d569be, (q31_t)0x232e5876, (q31_t)0xc6db113d,
+ (q31_t)0x232320a2, (q31_t)0xc6e0baf0, (q31_t)0x2317e9eb, (q31_t)0xc6e666d7,
+ (q31_t)0x230cb451, (q31_t)0xc6ec14f2, (q31_t)0x23017fd5, (q31_t)0xc6f1c540,
+ (q31_t)0x22f64c77, (q31_t)0xc6f777c1, (q31_t)0x22eb1a37, (q31_t)0xc6fd2c75,
+ (q31_t)0x22dfe917, (q31_t)0xc702e35c, (q31_t)0x22d4b916, (q31_t)0xc7089c75,
+ (q31_t)0x22c98a35, (q31_t)0xc70e57c0, (q31_t)0x22be5c74, (q31_t)0xc714153e,
+ (q31_t)0x22b32fd4, (q31_t)0xc719d4ed, (q31_t)0x22a80456, (q31_t)0xc71f96ce,
+ (q31_t)0x229cd9f8, (q31_t)0xc7255ae0, (q31_t)0x2291b0bd, (q31_t)0xc72b2123,
+ (q31_t)0x228688a4, (q31_t)0xc730e997, (q31_t)0x227b61af, (q31_t)0xc736b43c,
+ (q31_t)0x22703bdc, (q31_t)0xc73c8111, (q31_t)0x2265172e, (q31_t)0xc7425016,
+ (q31_t)0x2259f3a3, (q31_t)0xc748214c, (q31_t)0x224ed13d, (q31_t)0xc74df4b1,
+ (q31_t)0x2243affc, (q31_t)0xc753ca46, (q31_t)0x22388fe1, (q31_t)0xc759a20a,
+ (q31_t)0x222d70eb, (q31_t)0xc75f7bfe, (q31_t)0x2222531c, (q31_t)0xc7655820,
+ (q31_t)0x22173674, (q31_t)0xc76b3671, (q31_t)0x220c1af3, (q31_t)0xc77116f0,
+ (q31_t)0x22010099, (q31_t)0xc776f99d, (q31_t)0x21f5e768, (q31_t)0xc77cde79,
+ (q31_t)0x21eacf5f, (q31_t)0xc782c582, (q31_t)0x21dfb87f, (q31_t)0xc788aeb9,
+ (q31_t)0x21d4a2c8, (q31_t)0xc78e9a1d, (q31_t)0x21c98e3b, (q31_t)0xc79487ae,
+ (q31_t)0x21be7ad8, (q31_t)0xc79a776c, (q31_t)0x21b368a0, (q31_t)0xc7a06957,
+ (q31_t)0x21a85793, (q31_t)0xc7a65d6e, (q31_t)0x219d47b1, (q31_t)0xc7ac53b1,
+ (q31_t)0x219238fb, (q31_t)0xc7b24c20, (q31_t)0x21872b72, (q31_t)0xc7b846ba,
+ (q31_t)0x217c1f15, (q31_t)0xc7be4381, (q31_t)0x217113e5, (q31_t)0xc7c44272,
+ (q31_t)0x216609e3, (q31_t)0xc7ca438f, (q31_t)0x215b0110, (q31_t)0xc7d046d6,
+ (q31_t)0x214ff96a, (q31_t)0xc7d64c47, (q31_t)0x2144f2f3, (q31_t)0xc7dc53e3,
+ (q31_t)0x2139edac, (q31_t)0xc7e25daa, (q31_t)0x212ee995, (q31_t)0xc7e8699a,
+ (q31_t)0x2123e6ad, (q31_t)0xc7ee77b3, (q31_t)0x2118e4f6, (q31_t)0xc7f487f6,
+ (q31_t)0x210de470, (q31_t)0xc7fa9a62, (q31_t)0x2102e51c, (q31_t)0xc800aef7,
+ (q31_t)0x20f7e6f9, (q31_t)0xc806c5b5, (q31_t)0x20ecea09, (q31_t)0xc80cde9b,
+ (q31_t)0x20e1ee4b, (q31_t)0xc812f9a9, (q31_t)0x20d6f3c1, (q31_t)0xc81916df,
+ (q31_t)0x20cbfa6a, (q31_t)0xc81f363d, (q31_t)0x20c10247, (q31_t)0xc82557c3,
+ (q31_t)0x20b60b58, (q31_t)0xc82b7b70, (q31_t)0x20ab159e, (q31_t)0xc831a143,
+ (q31_t)0x20a0211a, (q31_t)0xc837c93e, (q31_t)0x20952dcb, (q31_t)0xc83df35f,
+ (q31_t)0x208a3bb2, (q31_t)0xc8441fa6, (q31_t)0x207f4acf, (q31_t)0xc84a4e14,
+ (q31_t)0x20745b24, (q31_t)0xc8507ea7, (q31_t)0x20696cb0, (q31_t)0xc856b160,
+ (q31_t)0x205e7f74, (q31_t)0xc85ce63e, (q31_t)0x2053936f, (q31_t)0xc8631d42,
+ (q31_t)0x2048a8a4, (q31_t)0xc869566a, (q31_t)0x203dbf11, (q31_t)0xc86f91b7,
+ (q31_t)0x2032d6b8, (q31_t)0xc875cf28, (q31_t)0x2027ef99, (q31_t)0xc87c0ebd,
+ (q31_t)0x201d09b4, (q31_t)0xc8825077, (q31_t)0x2012250a, (q31_t)0xc8889454,
+ (q31_t)0x2007419b, (q31_t)0xc88eda54, (q31_t)0x1ffc5f67, (q31_t)0xc8952278,
+ (q31_t)0x1ff17e70, (q31_t)0xc89b6cbf, (q31_t)0x1fe69eb4, (q31_t)0xc8a1b928,
+ (q31_t)0x1fdbc036, (q31_t)0xc8a807b4, (q31_t)0x1fd0e2f5, (q31_t)0xc8ae5862,
+ (q31_t)0x1fc606f1, (q31_t)0xc8b4ab32, (q31_t)0x1fbb2c2c, (q31_t)0xc8bb0023,
+ (q31_t)0x1fb052a5, (q31_t)0xc8c15736, (q31_t)0x1fa57a5d, (q31_t)0xc8c7b06b,
+ (q31_t)0x1f9aa354, (q31_t)0xc8ce0bc0, (q31_t)0x1f8fcd8b, (q31_t)0xc8d46936,
+ (q31_t)0x1f84f902, (q31_t)0xc8dac8cd, (q31_t)0x1f7a25ba, (q31_t)0xc8e12a84,
+ (q31_t)0x1f6f53b3, (q31_t)0xc8e78e5b, (q31_t)0x1f6482ed, (q31_t)0xc8edf452,
+ (q31_t)0x1f59b369, (q31_t)0xc8f45c68, (q31_t)0x1f4ee527, (q31_t)0xc8fac69e,
+ (q31_t)0x1f441828, (q31_t)0xc90132f2, (q31_t)0x1f394c6b, (q31_t)0xc907a166,
+ (q31_t)0x1f2e81f3, (q31_t)0xc90e11f7, (q31_t)0x1f23b8be, (q31_t)0xc91484a8,
+ (q31_t)0x1f18f0ce, (q31_t)0xc91af976, (q31_t)0x1f0e2a22, (q31_t)0xc9217062,
+ (q31_t)0x1f0364bc, (q31_t)0xc927e96b, (q31_t)0x1ef8a09b, (q31_t)0xc92e6492,
+ (q31_t)0x1eedddc0, (q31_t)0xc934e1d6, (q31_t)0x1ee31c2b, (q31_t)0xc93b6137,
+ (q31_t)0x1ed85bdd, (q31_t)0xc941e2b4, (q31_t)0x1ecd9cd7, (q31_t)0xc948664d,
+ (q31_t)0x1ec2df18, (q31_t)0xc94eec03, (q31_t)0x1eb822a1, (q31_t)0xc95573d4,
+ (q31_t)0x1ead6773, (q31_t)0xc95bfdc1, (q31_t)0x1ea2ad8d, (q31_t)0xc96289c9,
+ (q31_t)0x1e97f4f1, (q31_t)0xc96917ec, (q31_t)0x1e8d3d9e, (q31_t)0xc96fa82a,
+ (q31_t)0x1e828796, (q31_t)0xc9763a83, (q31_t)0x1e77d2d8, (q31_t)0xc97ccef5,
+ (q31_t)0x1e6d1f65, (q31_t)0xc9836582, (q31_t)0x1e626d3e, (q31_t)0xc989fe29,
+ (q31_t)0x1e57bc62, (q31_t)0xc99098e9, (q31_t)0x1e4d0cd2, (q31_t)0xc99735c2,
+ (q31_t)0x1e425e8f, (q31_t)0xc99dd4b4, (q31_t)0x1e37b199, (q31_t)0xc9a475bf,
+ (q31_t)0x1e2d05f1, (q31_t)0xc9ab18e3, (q31_t)0x1e225b96, (q31_t)0xc9b1be1e,
+ (q31_t)0x1e17b28a, (q31_t)0xc9b86572, (q31_t)0x1e0d0acc, (q31_t)0xc9bf0edd,
+ (q31_t)0x1e02645d, (q31_t)0xc9c5ba60, (q31_t)0x1df7bf3e, (q31_t)0xc9cc67fa,
+ (q31_t)0x1ded1b6e, (q31_t)0xc9d317ab, (q31_t)0x1de278ef, (q31_t)0xc9d9c973,
+ (q31_t)0x1dd7d7c1, (q31_t)0xc9e07d51, (q31_t)0x1dcd37e4, (q31_t)0xc9e73346,
+ (q31_t)0x1dc29958, (q31_t)0xc9edeb50, (q31_t)0x1db7fc1e, (q31_t)0xc9f4a570,
+ (q31_t)0x1dad6036, (q31_t)0xc9fb61a5, (q31_t)0x1da2c5a2, (q31_t)0xca021fef,
+ (q31_t)0x1d982c60, (q31_t)0xca08e04f, (q31_t)0x1d8d9472, (q31_t)0xca0fa2c3,
+ (q31_t)0x1d82fdd8, (q31_t)0xca16674b, (q31_t)0x1d786892, (q31_t)0xca1d2de7,
+ (q31_t)0x1d6dd4a2, (q31_t)0xca23f698, (q31_t)0x1d634206, (q31_t)0xca2ac15b,
+ (q31_t)0x1d58b0c0, (q31_t)0xca318e32, (q31_t)0x1d4e20d0, (q31_t)0xca385d1d,
+ (q31_t)0x1d439236, (q31_t)0xca3f2e19, (q31_t)0x1d3904f4, (q31_t)0xca460129,
+ (q31_t)0x1d2e7908, (q31_t)0xca4cd64b, (q31_t)0x1d23ee74, (q31_t)0xca53ad7e,
+ (q31_t)0x1d196538, (q31_t)0xca5a86c4, (q31_t)0x1d0edd55, (q31_t)0xca61621b,
+ (q31_t)0x1d0456ca, (q31_t)0xca683f83, (q31_t)0x1cf9d199, (q31_t)0xca6f1efc,
+ (q31_t)0x1cef4dc2, (q31_t)0xca760086, (q31_t)0x1ce4cb44, (q31_t)0xca7ce420,
+ (q31_t)0x1cda4a21, (q31_t)0xca83c9ca, (q31_t)0x1ccfca59, (q31_t)0xca8ab184,
+ (q31_t)0x1cc54bec, (q31_t)0xca919b4e, (q31_t)0x1cbacedb, (q31_t)0xca988727,
+ (q31_t)0x1cb05326, (q31_t)0xca9f750f, (q31_t)0x1ca5d8cd, (q31_t)0xcaa66506,
+ (q31_t)0x1c9b5fd2, (q31_t)0xcaad570c, (q31_t)0x1c90e834, (q31_t)0xcab44b1f,
+ (q31_t)0x1c8671f3, (q31_t)0xcabb4141, (q31_t)0x1c7bfd11, (q31_t)0xcac23971,
+ (q31_t)0x1c71898d, (q31_t)0xcac933ae, (q31_t)0x1c671768, (q31_t)0xcad02ff8,
+ (q31_t)0x1c5ca6a2, (q31_t)0xcad72e4f, (q31_t)0x1c52373c, (q31_t)0xcade2eb3,
+ (q31_t)0x1c47c936, (q31_t)0xcae53123, (q31_t)0x1c3d5c91, (q31_t)0xcaec35a0,
+ (q31_t)0x1c32f14d, (q31_t)0xcaf33c28, (q31_t)0x1c28876a, (q31_t)0xcafa44bc,
+ (q31_t)0x1c1e1ee9, (q31_t)0xcb014f5b, (q31_t)0x1c13b7c9, (q31_t)0xcb085c05,
+ (q31_t)0x1c09520d, (q31_t)0xcb0f6aba, (q31_t)0x1bfeedb3, (q31_t)0xcb167b79,
+ (q31_t)0x1bf48abd, (q31_t)0xcb1d8e43, (q31_t)0x1bea292b, (q31_t)0xcb24a316,
+ (q31_t)0x1bdfc8fc, (q31_t)0xcb2bb9f4, (q31_t)0x1bd56a32, (q31_t)0xcb32d2da,
+ (q31_t)0x1bcb0cce, (q31_t)0xcb39edca, (q31_t)0x1bc0b0ce, (q31_t)0xcb410ac3,
+ (q31_t)0x1bb65634, (q31_t)0xcb4829c4, (q31_t)0x1babfd01, (q31_t)0xcb4f4acd,
+ (q31_t)0x1ba1a534, (q31_t)0xcb566ddf, (q31_t)0x1b974ece, (q31_t)0xcb5d92f8,
+ (q31_t)0x1b8cf9cf, (q31_t)0xcb64ba19, (q31_t)0x1b82a638, (q31_t)0xcb6be341,
+ (q31_t)0x1b785409, (q31_t)0xcb730e70, (q31_t)0x1b6e0342, (q31_t)0xcb7a3ba5,
+ (q31_t)0x1b63b3e5, (q31_t)0xcb816ae1, (q31_t)0x1b5965f1, (q31_t)0xcb889c23,
+ (q31_t)0x1b4f1967, (q31_t)0xcb8fcf6b, (q31_t)0x1b44ce46, (q31_t)0xcb9704b9,
+ (q31_t)0x1b3a8491, (q31_t)0xcb9e3c0b, (q31_t)0x1b303c46, (q31_t)0xcba57563,
+ (q31_t)0x1b25f566, (q31_t)0xcbacb0bf, (q31_t)0x1b1baff2, (q31_t)0xcbb3ee20,
+ (q31_t)0x1b116beb, (q31_t)0xcbbb2d85, (q31_t)0x1b072950, (q31_t)0xcbc26eee,
+ (q31_t)0x1afce821, (q31_t)0xcbc9b25a, (q31_t)0x1af2a860, (q31_t)0xcbd0f7ca,
+ (q31_t)0x1ae86a0d, (q31_t)0xcbd83f3d, (q31_t)0x1ade2d28, (q31_t)0xcbdf88b3,
+ (q31_t)0x1ad3f1b1, (q31_t)0xcbe6d42b, (q31_t)0x1ac9b7a9, (q31_t)0xcbee21a5,
+ (q31_t)0x1abf7f11, (q31_t)0xcbf57121, (q31_t)0x1ab547e8, (q31_t)0xcbfcc29f,
+ (q31_t)0x1aab122f, (q31_t)0xcc04161e, (q31_t)0x1aa0dde7, (q31_t)0xcc0b6b9e,
+ (q31_t)0x1a96ab0f, (q31_t)0xcc12c31f, (q31_t)0x1a8c79a9, (q31_t)0xcc1a1ca0,
+ (q31_t)0x1a8249b4, (q31_t)0xcc217822, (q31_t)0x1a781b31, (q31_t)0xcc28d5a3,
+ (q31_t)0x1a6dee21, (q31_t)0xcc303524, (q31_t)0x1a63c284, (q31_t)0xcc3796a5,
+ (q31_t)0x1a599859, (q31_t)0xcc3efa25, (q31_t)0x1a4f6fa3, (q31_t)0xcc465fa3,
+ (q31_t)0x1a454860, (q31_t)0xcc4dc720, (q31_t)0x1a3b2292, (q31_t)0xcc55309b,
+ (q31_t)0x1a30fe38, (q31_t)0xcc5c9c14, (q31_t)0x1a26db54, (q31_t)0xcc64098b,
+ (q31_t)0x1a1cb9e5, (q31_t)0xcc6b78ff, (q31_t)0x1a1299ec, (q31_t)0xcc72ea70,
+ (q31_t)0x1a087b69, (q31_t)0xcc7a5dde, (q31_t)0x19fe5e5e, (q31_t)0xcc81d349,
+ (q31_t)0x19f442c9, (q31_t)0xcc894aaf, (q31_t)0x19ea28ac, (q31_t)0xcc90c412,
+ (q31_t)0x19e01006, (q31_t)0xcc983f70, (q31_t)0x19d5f8d9, (q31_t)0xcc9fbcca,
+ (q31_t)0x19cbe325, (q31_t)0xcca73c1e, (q31_t)0x19c1cee9, (q31_t)0xccaebd6e,
+ (q31_t)0x19b7bc27, (q31_t)0xccb640b8, (q31_t)0x19adaadf, (q31_t)0xccbdc5fc,
+ (q31_t)0x19a39b11, (q31_t)0xccc54d3a, (q31_t)0x19998cbe, (q31_t)0xccccd671,
+ (q31_t)0x198f7fe6, (q31_t)0xccd461a2, (q31_t)0x19857489, (q31_t)0xccdbeecc,
+ (q31_t)0x197b6aa8, (q31_t)0xcce37def, (q31_t)0x19716243, (q31_t)0xcceb0f0a,
+ (q31_t)0x19675b5a, (q31_t)0xccf2a21d, (q31_t)0x195d55ef, (q31_t)0xccfa3729,
+ (q31_t)0x19535201, (q31_t)0xcd01ce2b, (q31_t)0x19494f90, (q31_t)0xcd096725,
+ (q31_t)0x193f4e9e, (q31_t)0xcd110216, (q31_t)0x19354f2a, (q31_t)0xcd189efe,
+ (q31_t)0x192b5135, (q31_t)0xcd203ddc, (q31_t)0x192154bf, (q31_t)0xcd27deb0,
+ (q31_t)0x191759c9, (q31_t)0xcd2f817b, (q31_t)0x190d6053, (q31_t)0xcd37263a,
+ (q31_t)0x1903685d, (q31_t)0xcd3eccef, (q31_t)0x18f971e8, (q31_t)0xcd467599,
+ (q31_t)0x18ef7cf4, (q31_t)0xcd4e2037, (q31_t)0x18e58982, (q31_t)0xcd55ccca,
+ (q31_t)0x18db9792, (q31_t)0xcd5d7b50, (q31_t)0x18d1a724, (q31_t)0xcd652bcb,
+ (q31_t)0x18c7b838, (q31_t)0xcd6cde39, (q31_t)0x18bdcad0, (q31_t)0xcd74929a,
+ (q31_t)0x18b3deeb, (q31_t)0xcd7c48ee, (q31_t)0x18a9f48a, (q31_t)0xcd840134,
+ (q31_t)0x18a00bae, (q31_t)0xcd8bbb6d, (q31_t)0x18962456, (q31_t)0xcd937798,
+ (q31_t)0x188c3e83, (q31_t)0xcd9b35b4, (q31_t)0x18825a35, (q31_t)0xcda2f5c2,
+ (q31_t)0x1878776d, (q31_t)0xcdaab7c0, (q31_t)0x186e962b, (q31_t)0xcdb27bb0,
+ (q31_t)0x1864b670, (q31_t)0xcdba4190, (q31_t)0x185ad83c, (q31_t)0xcdc20960,
+ (q31_t)0x1850fb8e, (q31_t)0xcdc9d320, (q31_t)0x18472069, (q31_t)0xcdd19ed0,
+ (q31_t)0x183d46cc, (q31_t)0xcdd96c6f, (q31_t)0x18336eb7, (q31_t)0xcde13bfd,
+ (q31_t)0x1829982b, (q31_t)0xcde90d79, (q31_t)0x181fc328, (q31_t)0xcdf0e0e4,
+ (q31_t)0x1815efae, (q31_t)0xcdf8b63d, (q31_t)0x180c1dbf, (q31_t)0xce008d84,
+ (q31_t)0x18024d59, (q31_t)0xce0866b8, (q31_t)0x17f87e7f, (q31_t)0xce1041d9,
+ (q31_t)0x17eeb130, (q31_t)0xce181ee8, (q31_t)0x17e4e56c, (q31_t)0xce1ffde2,
+ (q31_t)0x17db1b34, (q31_t)0xce27dec9, (q31_t)0x17d15288, (q31_t)0xce2fc19c,
+ (q31_t)0x17c78b68, (q31_t)0xce37a65b, (q31_t)0x17bdc5d6, (q31_t)0xce3f8d05,
+ (q31_t)0x17b401d1, (q31_t)0xce47759a, (q31_t)0x17aa3f5a, (q31_t)0xce4f6019,
+ (q31_t)0x17a07e70, (q31_t)0xce574c84, (q31_t)0x1796bf16, (q31_t)0xce5f3ad8,
+ (q31_t)0x178d014a, (q31_t)0xce672b16, (q31_t)0x1783450d, (q31_t)0xce6f1d3d,
+ (q31_t)0x17798a60, (q31_t)0xce77114e, (q31_t)0x176fd143, (q31_t)0xce7f0748,
+ (q31_t)0x176619b6, (q31_t)0xce86ff2a, (q31_t)0x175c63ba, (q31_t)0xce8ef8f4,
+ (q31_t)0x1752af4f, (q31_t)0xce96f4a7, (q31_t)0x1748fc75, (q31_t)0xce9ef241,
+ (q31_t)0x173f4b2e, (q31_t)0xcea6f1c2, (q31_t)0x17359b78, (q31_t)0xceaef32b,
+ (q31_t)0x172bed55, (q31_t)0xceb6f67a, (q31_t)0x172240c5, (q31_t)0xcebefbb0,
+ (q31_t)0x171895c9, (q31_t)0xcec702cb, (q31_t)0x170eec60, (q31_t)0xcecf0bcd,
+ (q31_t)0x1705448b, (q31_t)0xced716b4, (q31_t)0x16fb9e4b, (q31_t)0xcedf2380,
+ (q31_t)0x16f1f99f, (q31_t)0xcee73231, (q31_t)0x16e85689, (q31_t)0xceef42c7,
+ (q31_t)0x16deb508, (q31_t)0xcef75541, (q31_t)0x16d5151d, (q31_t)0xceff699f,
+ (q31_t)0x16cb76c9, (q31_t)0xcf077fe1, (q31_t)0x16c1da0b, (q31_t)0xcf0f9805,
+ (q31_t)0x16b83ee4, (q31_t)0xcf17b20d, (q31_t)0x16aea555, (q31_t)0xcf1fcdf8,
+ (q31_t)0x16a50d5d, (q31_t)0xcf27ebc5, (q31_t)0x169b76fe, (q31_t)0xcf300b74,
+ (q31_t)0x1691e237, (q31_t)0xcf382d05, (q31_t)0x16884f09, (q31_t)0xcf405077,
+ (q31_t)0x167ebd74, (q31_t)0xcf4875ca, (q31_t)0x16752d79, (q31_t)0xcf509cfe,
+ (q31_t)0x166b9f18, (q31_t)0xcf58c613, (q31_t)0x16621251, (q31_t)0xcf60f108,
+ (q31_t)0x16588725, (q31_t)0xcf691ddd, (q31_t)0x164efd94, (q31_t)0xcf714c91,
+ (q31_t)0x1645759f, (q31_t)0xcf797d24, (q31_t)0x163bef46, (q31_t)0xcf81af97,
+ (q31_t)0x16326a88, (q31_t)0xcf89e3e8, (q31_t)0x1628e767, (q31_t)0xcf921a17,
+ (q31_t)0x161f65e4, (q31_t)0xcf9a5225, (q31_t)0x1615e5fd, (q31_t)0xcfa28c10,
+ (q31_t)0x160c67b4, (q31_t)0xcfaac7d8, (q31_t)0x1602eb0a, (q31_t)0xcfb3057d,
+ (q31_t)0x15f96ffd, (q31_t)0xcfbb4500, (q31_t)0x15eff690, (q31_t)0xcfc3865e,
+ (q31_t)0x15e67ec1, (q31_t)0xcfcbc999, (q31_t)0x15dd0892, (q31_t)0xcfd40eaf,
+ (q31_t)0x15d39403, (q31_t)0xcfdc55a1, (q31_t)0x15ca2115, (q31_t)0xcfe49e6d,
+ (q31_t)0x15c0afc6, (q31_t)0xcfece915, (q31_t)0x15b74019, (q31_t)0xcff53597,
+ (q31_t)0x15add20d, (q31_t)0xcffd83f4, (q31_t)0x15a465a3, (q31_t)0xd005d42a,
+ (q31_t)0x159afadb, (q31_t)0xd00e2639, (q31_t)0x159191b5, (q31_t)0xd0167a22,
+ (q31_t)0x15882a32, (q31_t)0xd01ecfe4, (q31_t)0x157ec452, (q31_t)0xd027277e,
+ (q31_t)0x15756016, (q31_t)0xd02f80f1, (q31_t)0x156bfd7d, (q31_t)0xd037dc3b,
+ (q31_t)0x15629c89, (q31_t)0xd040395d, (q31_t)0x15593d3a, (q31_t)0xd0489856,
+ (q31_t)0x154fdf8f, (q31_t)0xd050f926, (q31_t)0x15468389, (q31_t)0xd0595bcd,
+ (q31_t)0x153d292a, (q31_t)0xd061c04a, (q31_t)0x1533d070, (q31_t)0xd06a269d,
+ (q31_t)0x152a795d, (q31_t)0xd0728ec6, (q31_t)0x152123f0, (q31_t)0xd07af8c4,
+ (q31_t)0x1517d02b, (q31_t)0xd0836497, (q31_t)0x150e7e0d, (q31_t)0xd08bd23f,
+ (q31_t)0x15052d97, (q31_t)0xd09441bb, (q31_t)0x14fbdec9, (q31_t)0xd09cb30b,
+ (q31_t)0x14f291a4, (q31_t)0xd0a5262f, (q31_t)0x14e94627, (q31_t)0xd0ad9b26,
+ (q31_t)0x14dffc54, (q31_t)0xd0b611f1, (q31_t)0x14d6b42b, (q31_t)0xd0be8a8d,
+ (q31_t)0x14cd6dab, (q31_t)0xd0c704fd, (q31_t)0x14c428d6, (q31_t)0xd0cf813e,
+ (q31_t)0x14bae5ab, (q31_t)0xd0d7ff51, (q31_t)0x14b1a42c, (q31_t)0xd0e07f36,
+ (q31_t)0x14a86458, (q31_t)0xd0e900ec, (q31_t)0x149f2630, (q31_t)0xd0f18472,
+ (q31_t)0x1495e9b3, (q31_t)0xd0fa09c9, (q31_t)0x148caee4, (q31_t)0xd10290f0,
+ (q31_t)0x148375c1, (q31_t)0xd10b19e7, (q31_t)0x147a3e4b, (q31_t)0xd113a4ad,
+ (q31_t)0x14710883, (q31_t)0xd11c3142, (q31_t)0x1467d469, (q31_t)0xd124bfa6,
+ (q31_t)0x145ea1fd, (q31_t)0xd12d4fd9, (q31_t)0x14557140, (q31_t)0xd135e1d9,
+ (q31_t)0x144c4232, (q31_t)0xd13e75a8, (q31_t)0x144314d3, (q31_t)0xd1470b44,
+ (q31_t)0x1439e923, (q31_t)0xd14fa2ad, (q31_t)0x1430bf24, (q31_t)0xd1583be2,
+ (q31_t)0x142796d5, (q31_t)0xd160d6e5, (q31_t)0x141e7037, (q31_t)0xd16973b3,
+ (q31_t)0x14154b4a, (q31_t)0xd172124d, (q31_t)0x140c280e, (q31_t)0xd17ab2b3,
+ (q31_t)0x14030684, (q31_t)0xd18354e4, (q31_t)0x13f9e6ad, (q31_t)0xd18bf8e0,
+ (q31_t)0x13f0c887, (q31_t)0xd1949ea6, (q31_t)0x13e7ac15, (q31_t)0xd19d4636,
+ (q31_t)0x13de9156, (q31_t)0xd1a5ef90, (q31_t)0x13d5784a, (q31_t)0xd1ae9ab4,
+ (q31_t)0x13cc60f2, (q31_t)0xd1b747a0, (q31_t)0x13c34b4f, (q31_t)0xd1bff656,
+ (q31_t)0x13ba3760, (q31_t)0xd1c8a6d4, (q31_t)0x13b12526, (q31_t)0xd1d1591a,
+ (q31_t)0x13a814a2, (q31_t)0xd1da0d28, (q31_t)0x139f05d3, (q31_t)0xd1e2c2fd,
+ (q31_t)0x1395f8ba, (q31_t)0xd1eb7a9a, (q31_t)0x138ced57, (q31_t)0xd1f433fd,
+ (q31_t)0x1383e3ab, (q31_t)0xd1fcef27, (q31_t)0x137adbb6, (q31_t)0xd205ac17,
+ (q31_t)0x1371d579, (q31_t)0xd20e6acc, (q31_t)0x1368d0f3, (q31_t)0xd2172b48,
+ (q31_t)0x135fce26, (q31_t)0xd21fed88, (q31_t)0x1356cd11, (q31_t)0xd228b18d,
+ (q31_t)0x134dcdb4, (q31_t)0xd2317756, (q31_t)0x1344d011, (q31_t)0xd23a3ee4,
+ (q31_t)0x133bd427, (q31_t)0xd2430835, (q31_t)0x1332d9f7, (q31_t)0xd24bd34a,
+ (q31_t)0x1329e181, (q31_t)0xd254a021, (q31_t)0x1320eac6, (q31_t)0xd25d6ebc,
+ (q31_t)0x1317f5c6, (q31_t)0xd2663f19, (q31_t)0x130f0280, (q31_t)0xd26f1138,
+ (q31_t)0x130610f7, (q31_t)0xd277e518, (q31_t)0x12fd2129, (q31_t)0xd280babb,
+ (q31_t)0x12f43318, (q31_t)0xd289921e, (q31_t)0x12eb46c3, (q31_t)0xd2926b41,
+ (q31_t)0x12e25c2b, (q31_t)0xd29b4626, (q31_t)0x12d97350, (q31_t)0xd2a422ca,
+ (q31_t)0x12d08c33, (q31_t)0xd2ad012e, (q31_t)0x12c7a6d4, (q31_t)0xd2b5e151,
+ (q31_t)0x12bec333, (q31_t)0xd2bec333, (q31_t)0x12b5e151, (q31_t)0xd2c7a6d4,
+ (q31_t)0x12ad012e, (q31_t)0xd2d08c33, (q31_t)0x12a422ca, (q31_t)0xd2d97350,
+ (q31_t)0x129b4626, (q31_t)0xd2e25c2b, (q31_t)0x12926b41, (q31_t)0xd2eb46c3,
+ (q31_t)0x1289921e, (q31_t)0xd2f43318, (q31_t)0x1280babb, (q31_t)0xd2fd2129,
+ (q31_t)0x1277e518, (q31_t)0xd30610f7, (q31_t)0x126f1138, (q31_t)0xd30f0280,
+ (q31_t)0x12663f19, (q31_t)0xd317f5c6, (q31_t)0x125d6ebc, (q31_t)0xd320eac6,
+ (q31_t)0x1254a021, (q31_t)0xd329e181, (q31_t)0x124bd34a, (q31_t)0xd332d9f7,
+ (q31_t)0x12430835, (q31_t)0xd33bd427, (q31_t)0x123a3ee4, (q31_t)0xd344d011,
+ (q31_t)0x12317756, (q31_t)0xd34dcdb4, (q31_t)0x1228b18d, (q31_t)0xd356cd11,
+ (q31_t)0x121fed88, (q31_t)0xd35fce26, (q31_t)0x12172b48, (q31_t)0xd368d0f3,
+ (q31_t)0x120e6acc, (q31_t)0xd371d579, (q31_t)0x1205ac17, (q31_t)0xd37adbb6,
+ (q31_t)0x11fcef27, (q31_t)0xd383e3ab, (q31_t)0x11f433fd, (q31_t)0xd38ced57,
+ (q31_t)0x11eb7a9a, (q31_t)0xd395f8ba, (q31_t)0x11e2c2fd, (q31_t)0xd39f05d3,
+ (q31_t)0x11da0d28, (q31_t)0xd3a814a2, (q31_t)0x11d1591a, (q31_t)0xd3b12526,
+ (q31_t)0x11c8a6d4, (q31_t)0xd3ba3760, (q31_t)0x11bff656, (q31_t)0xd3c34b4f,
+ (q31_t)0x11b747a0, (q31_t)0xd3cc60f2, (q31_t)0x11ae9ab4, (q31_t)0xd3d5784a,
+ (q31_t)0x11a5ef90, (q31_t)0xd3de9156, (q31_t)0x119d4636, (q31_t)0xd3e7ac15,
+ (q31_t)0x11949ea6, (q31_t)0xd3f0c887, (q31_t)0x118bf8e0, (q31_t)0xd3f9e6ad,
+ (q31_t)0x118354e4, (q31_t)0xd4030684, (q31_t)0x117ab2b3, (q31_t)0xd40c280e,
+ (q31_t)0x1172124d, (q31_t)0xd4154b4a, (q31_t)0x116973b3, (q31_t)0xd41e7037,
+ (q31_t)0x1160d6e5, (q31_t)0xd42796d5, (q31_t)0x11583be2, (q31_t)0xd430bf24,
+ (q31_t)0x114fa2ad, (q31_t)0xd439e923, (q31_t)0x11470b44, (q31_t)0xd44314d3,
+ (q31_t)0x113e75a8, (q31_t)0xd44c4232, (q31_t)0x1135e1d9, (q31_t)0xd4557140,
+ (q31_t)0x112d4fd9, (q31_t)0xd45ea1fd, (q31_t)0x1124bfa6, (q31_t)0xd467d469,
+ (q31_t)0x111c3142, (q31_t)0xd4710883, (q31_t)0x1113a4ad, (q31_t)0xd47a3e4b,
+ (q31_t)0x110b19e7, (q31_t)0xd48375c1, (q31_t)0x110290f0, (q31_t)0xd48caee4,
+ (q31_t)0x10fa09c9, (q31_t)0xd495e9b3, (q31_t)0x10f18472, (q31_t)0xd49f2630,
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+ (q31_t)0x10d7ff51, (q31_t)0xd4bae5ab, (q31_t)0x10cf813e, (q31_t)0xd4c428d6,
+ (q31_t)0x10c704fd, (q31_t)0xd4cd6dab, (q31_t)0x10be8a8d, (q31_t)0xd4d6b42b,
+ (q31_t)0x10b611f1, (q31_t)0xd4dffc54, (q31_t)0x10ad9b26, (q31_t)0xd4e94627,
+ (q31_t)0x10a5262f, (q31_t)0xd4f291a4, (q31_t)0x109cb30b, (q31_t)0xd4fbdec9,
+ (q31_t)0x109441bb, (q31_t)0xd5052d97, (q31_t)0x108bd23f, (q31_t)0xd50e7e0d,
+ (q31_t)0x10836497, (q31_t)0xd517d02b, (q31_t)0x107af8c4, (q31_t)0xd52123f0,
+ (q31_t)0x10728ec6, (q31_t)0xd52a795d, (q31_t)0x106a269d, (q31_t)0xd533d070,
+ (q31_t)0x1061c04a, (q31_t)0xd53d292a, (q31_t)0x10595bcd, (q31_t)0xd5468389,
+ (q31_t)0x1050f926, (q31_t)0xd54fdf8f, (q31_t)0x10489856, (q31_t)0xd5593d3a,
+ (q31_t)0x1040395d, (q31_t)0xd5629c89, (q31_t)0x1037dc3b, (q31_t)0xd56bfd7d,
+ (q31_t)0x102f80f1, (q31_t)0xd5756016, (q31_t)0x1027277e, (q31_t)0xd57ec452,
+ (q31_t)0x101ecfe4, (q31_t)0xd5882a32, (q31_t)0x10167a22, (q31_t)0xd59191b5,
+ (q31_t)0x100e2639, (q31_t)0xd59afadb, (q31_t)0x1005d42a, (q31_t)0xd5a465a3,
+ (q31_t)0xffd83f4, (q31_t)0xd5add20d, (q31_t)0xff53597, (q31_t)0xd5b74019,
+ (q31_t)0xfece915, (q31_t)0xd5c0afc6, (q31_t)0xfe49e6d, (q31_t)0xd5ca2115,
+ (q31_t)0xfdc55a1, (q31_t)0xd5d39403, (q31_t)0xfd40eaf, (q31_t)0xd5dd0892,
+ (q31_t)0xfcbc999, (q31_t)0xd5e67ec1, (q31_t)0xfc3865e, (q31_t)0xd5eff690,
+ (q31_t)0xfbb4500, (q31_t)0xd5f96ffd, (q31_t)0xfb3057d, (q31_t)0xd602eb0a,
+ (q31_t)0xfaac7d8, (q31_t)0xd60c67b4, (q31_t)0xfa28c10, (q31_t)0xd615e5fd,
+ (q31_t)0xf9a5225, (q31_t)0xd61f65e4, (q31_t)0xf921a17, (q31_t)0xd628e767,
+ (q31_t)0xf89e3e8, (q31_t)0xd6326a88, (q31_t)0xf81af97, (q31_t)0xd63bef46,
+ (q31_t)0xf797d24, (q31_t)0xd645759f, (q31_t)0xf714c91, (q31_t)0xd64efd94,
+ (q31_t)0xf691ddd, (q31_t)0xd6588725, (q31_t)0xf60f108, (q31_t)0xd6621251,
+ (q31_t)0xf58c613, (q31_t)0xd66b9f18, (q31_t)0xf509cfe, (q31_t)0xd6752d79,
+ (q31_t)0xf4875ca, (q31_t)0xd67ebd74, (q31_t)0xf405077, (q31_t)0xd6884f09,
+ (q31_t)0xf382d05, (q31_t)0xd691e237, (q31_t)0xf300b74, (q31_t)0xd69b76fe,
+ (q31_t)0xf27ebc5, (q31_t)0xd6a50d5d, (q31_t)0xf1fcdf8, (q31_t)0xd6aea555,
+ (q31_t)0xf17b20d, (q31_t)0xd6b83ee4, (q31_t)0xf0f9805, (q31_t)0xd6c1da0b,
+ (q31_t)0xf077fe1, (q31_t)0xd6cb76c9, (q31_t)0xeff699f, (q31_t)0xd6d5151d,
+ (q31_t)0xef75541, (q31_t)0xd6deb508, (q31_t)0xeef42c7, (q31_t)0xd6e85689,
+ (q31_t)0xee73231, (q31_t)0xd6f1f99f, (q31_t)0xedf2380, (q31_t)0xd6fb9e4b,
+ (q31_t)0xed716b4, (q31_t)0xd705448b, (q31_t)0xecf0bcd, (q31_t)0xd70eec60,
+ (q31_t)0xec702cb, (q31_t)0xd71895c9, (q31_t)0xebefbb0, (q31_t)0xd72240c5,
+ (q31_t)0xeb6f67a, (q31_t)0xd72bed55, (q31_t)0xeaef32b, (q31_t)0xd7359b78,
+ (q31_t)0xea6f1c2, (q31_t)0xd73f4b2e, (q31_t)0xe9ef241, (q31_t)0xd748fc75,
+ (q31_t)0xe96f4a7, (q31_t)0xd752af4f, (q31_t)0xe8ef8f4, (q31_t)0xd75c63ba,
+ (q31_t)0xe86ff2a, (q31_t)0xd76619b6, (q31_t)0xe7f0748, (q31_t)0xd76fd143,
+ (q31_t)0xe77114e, (q31_t)0xd7798a60, (q31_t)0xe6f1d3d, (q31_t)0xd783450d,
+ (q31_t)0xe672b16, (q31_t)0xd78d014a, (q31_t)0xe5f3ad8, (q31_t)0xd796bf16,
+ (q31_t)0xe574c84, (q31_t)0xd7a07e70, (q31_t)0xe4f6019, (q31_t)0xd7aa3f5a,
+ (q31_t)0xe47759a, (q31_t)0xd7b401d1, (q31_t)0xe3f8d05, (q31_t)0xd7bdc5d6,
+ (q31_t)0xe37a65b, (q31_t)0xd7c78b68, (q31_t)0xe2fc19c, (q31_t)0xd7d15288,
+ (q31_t)0xe27dec9, (q31_t)0xd7db1b34, (q31_t)0xe1ffde2, (q31_t)0xd7e4e56c,
+ (q31_t)0xe181ee8, (q31_t)0xd7eeb130, (q31_t)0xe1041d9, (q31_t)0xd7f87e7f,
+ (q31_t)0xe0866b8, (q31_t)0xd8024d59, (q31_t)0xe008d84, (q31_t)0xd80c1dbf,
+ (q31_t)0xdf8b63d, (q31_t)0xd815efae, (q31_t)0xdf0e0e4, (q31_t)0xd81fc328,
+ (q31_t)0xde90d79, (q31_t)0xd829982b, (q31_t)0xde13bfd, (q31_t)0xd8336eb7,
+ (q31_t)0xdd96c6f, (q31_t)0xd83d46cc, (q31_t)0xdd19ed0, (q31_t)0xd8472069,
+ (q31_t)0xdc9d320, (q31_t)0xd850fb8e, (q31_t)0xdc20960, (q31_t)0xd85ad83c,
+ (q31_t)0xdba4190, (q31_t)0xd864b670, (q31_t)0xdb27bb0, (q31_t)0xd86e962b,
+ (q31_t)0xdaab7c0, (q31_t)0xd878776d, (q31_t)0xda2f5c2, (q31_t)0xd8825a35,
+ (q31_t)0xd9b35b4, (q31_t)0xd88c3e83, (q31_t)0xd937798, (q31_t)0xd8962456,
+ (q31_t)0xd8bbb6d, (q31_t)0xd8a00bae, (q31_t)0xd840134, (q31_t)0xd8a9f48a,
+ (q31_t)0xd7c48ee, (q31_t)0xd8b3deeb, (q31_t)0xd74929a, (q31_t)0xd8bdcad0,
+ (q31_t)0xd6cde39, (q31_t)0xd8c7b838, (q31_t)0xd652bcb, (q31_t)0xd8d1a724,
+ (q31_t)0xd5d7b50, (q31_t)0xd8db9792, (q31_t)0xd55ccca, (q31_t)0xd8e58982,
+ (q31_t)0xd4e2037, (q31_t)0xd8ef7cf4, (q31_t)0xd467599, (q31_t)0xd8f971e8,
+ (q31_t)0xd3eccef, (q31_t)0xd903685d, (q31_t)0xd37263a, (q31_t)0xd90d6053,
+ (q31_t)0xd2f817b, (q31_t)0xd91759c9, (q31_t)0xd27deb0, (q31_t)0xd92154bf,
+ (q31_t)0xd203ddc, (q31_t)0xd92b5135, (q31_t)0xd189efe, (q31_t)0xd9354f2a,
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+ (q31_t)0xd01ce2b, (q31_t)0xd9535201, (q31_t)0xcfa3729, (q31_t)0xd95d55ef,
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+ (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659,
+ (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354,
+ (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674,
+ (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9,
+ (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23,
+ (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2,
+ (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065,
+ (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d,
+ (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39,
+ (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858,
+ (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c,
+ (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703,
+ (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e,
+ (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c,
+ (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d,
+ (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01,
+ (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718,
+ (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652,
+ (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae,
+ (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d,
+ (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf,
+ (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092,
+ (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78,
+ (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280,
+ (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa,
+ (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6,
+ (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364,
+ (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3,
+ (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4,
+ (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77,
+ (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c,
+ (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82,
+ (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9,
+ (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12,
+ (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c,
+ (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128,
+ (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6,
+ (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4,
+};
+
+
+/**
+ @par
+ Generation of realCoefBQ31 array:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+ pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q31 format
+ round(pBTable[i] * pow(2, 31))
+ */
+
+const q31_t realCoefBQ31[8192] = {
+ (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4,
+ (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6,
+ (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128,
+ (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c,
+ (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12,
+ (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9,
+ (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82,
+ (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c,
+ (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77,
+ (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4,
+ (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3,
+ (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364,
+ (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6,
+ (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa,
+ (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280,
+ (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78,
+ (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092,
+ (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf,
+ (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d,
+ (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae,
+ (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652,
+ (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718,
+ (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01,
+ (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d,
+ (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c,
+ (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e,
+ (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703,
+ (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c,
+ (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858,
+ (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39,
+ (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d,
+ (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065,
+ (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2,
+ (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23,
+ (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9,
+ (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674,
+ (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354,
+ (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659,
+ (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84,
+ (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5,
+ (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b,
+ (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8,
+ (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac,
+ (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996,
+ (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7,
+ (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf,
+ (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f,
+ (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7,
+ (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77,
+ (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f,
+ (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50,
+ (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a,
+ (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd,
+ (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a,
+ (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0,
+ (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1,
+ (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc,
+ (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3,
+ (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334,
+ (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1,
+ (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a,
+ (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f,
+ (q31_t)0x4613e1c5, (q31_t)0x3fb5f4ea, (q31_t)0x4620641a, (q31_t)0x3fb4c231,
+ (q31_t)0x462ce634, (q31_t)0x3fb38d02, (q31_t)0x46396810, (q31_t)0x3fb2555f,
+ (q31_t)0x4645e9af, (q31_t)0x3fb11b48, (q31_t)0x46526b10, (q31_t)0x3fafdebb,
+ (q31_t)0x465eec33, (q31_t)0x3fae9fbb, (q31_t)0x466b6d16, (q31_t)0x3fad5e45,
+ (q31_t)0x4677edbb, (q31_t)0x3fac1a5b, (q31_t)0x46846e1f, (q31_t)0x3faad3fd,
+ (q31_t)0x4690ee44, (q31_t)0x3fa98b2a, (q31_t)0x469d6e27, (q31_t)0x3fa83fe3,
+ (q31_t)0x46a9edc9, (q31_t)0x3fa6f228, (q31_t)0x46b66d29, (q31_t)0x3fa5a1f9,
+ (q31_t)0x46c2ec48, (q31_t)0x3fa44f55, (q31_t)0x46cf6b23, (q31_t)0x3fa2fa3d,
+ (q31_t)0x46dbe9bb, (q31_t)0x3fa1a2b2, (q31_t)0x46e86810, (q31_t)0x3fa048b2,
+ (q31_t)0x46f4e620, (q31_t)0x3f9eec3e, (q31_t)0x470163eb, (q31_t)0x3f9d8d56,
+ (q31_t)0x470de172, (q31_t)0x3f9c2bfb, (q31_t)0x471a5eb3, (q31_t)0x3f9ac82c,
+ (q31_t)0x4726dbae, (q31_t)0x3f9961e8, (q31_t)0x47335862, (q31_t)0x3f97f932,
+ (q31_t)0x473fd4cf, (q31_t)0x3f968e07, (q31_t)0x474c50f4, (q31_t)0x3f952069,
+ (q31_t)0x4758ccd2, (q31_t)0x3f93b058, (q31_t)0x47654867, (q31_t)0x3f923dd2,
+ (q31_t)0x4771c3b3, (q31_t)0x3f90c8da, (q31_t)0x477e3eb5, (q31_t)0x3f8f516e,
+ (q31_t)0x478ab96e, (q31_t)0x3f8dd78f, (q31_t)0x479733dc, (q31_t)0x3f8c5b3d,
+ (q31_t)0x47a3adff, (q31_t)0x3f8adc77, (q31_t)0x47b027d7, (q31_t)0x3f895b3e,
+ (q31_t)0x47bca163, (q31_t)0x3f87d792, (q31_t)0x47c91aa3, (q31_t)0x3f865174,
+ (q31_t)0x47d59396, (q31_t)0x3f84c8e2, (q31_t)0x47e20c3b, (q31_t)0x3f833ddd,
+ (q31_t)0x47ee8493, (q31_t)0x3f81b065, (q31_t)0x47fafc9c, (q31_t)0x3f80207b,
+ (q31_t)0x48077457, (q31_t)0x3f7e8e1e, (q31_t)0x4813ebc2, (q31_t)0x3f7cf94e,
+ (q31_t)0x482062de, (q31_t)0x3f7b620c, (q31_t)0x482cd9a9, (q31_t)0x3f79c857,
+ (q31_t)0x48395024, (q31_t)0x3f782c30, (q31_t)0x4845c64d, (q31_t)0x3f768d96,
+ (q31_t)0x48523c25, (q31_t)0x3f74ec8a, (q31_t)0x485eb1ab, (q31_t)0x3f73490b,
+ (q31_t)0x486b26de, (q31_t)0x3f71a31b, (q31_t)0x48779bbe, (q31_t)0x3f6ffab8,
+ (q31_t)0x4884104b, (q31_t)0x3f6e4fe3, (q31_t)0x48908483, (q31_t)0x3f6ca29c,
+ (q31_t)0x489cf867, (q31_t)0x3f6af2e3, (q31_t)0x48a96bf6, (q31_t)0x3f6940b8,
+ (q31_t)0x48b5df30, (q31_t)0x3f678c1c, (q31_t)0x48c25213, (q31_t)0x3f65d50d,
+ (q31_t)0x48cec4a0, (q31_t)0x3f641b8d, (q31_t)0x48db36d6, (q31_t)0x3f625f9b,
+ (q31_t)0x48e7a8b5, (q31_t)0x3f60a138, (q31_t)0x48f41a3c, (q31_t)0x3f5ee063,
+ (q31_t)0x49008b6a, (q31_t)0x3f5d1d1d, (q31_t)0x490cfc40, (q31_t)0x3f5b5765,
+ (q31_t)0x49196cbc, (q31_t)0x3f598f3c, (q31_t)0x4925dcdf, (q31_t)0x3f57c4a2,
+ (q31_t)0x49324ca7, (q31_t)0x3f55f796, (q31_t)0x493ebc14, (q31_t)0x3f54281a,
+ (q31_t)0x494b2b27, (q31_t)0x3f52562c, (q31_t)0x495799dd, (q31_t)0x3f5081cd,
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+ (q31_t)0x7f13110f, (q31_t)0xad84609, (q31_t)0x7f1530f7, (q31_t)0xacbe35b,
+ (q31_t)0x7f174e70, (q31_t)0xabf8043, (q31_t)0x7f19697a, (q31_t)0xab31cc1,
+ (q31_t)0x7f1b8215, (q31_t)0xaa6b8d5, (q31_t)0x7f1d9842, (q31_t)0xa9a5480,
+ (q31_t)0x7f1fabff, (q31_t)0xa8defc3, (q31_t)0x7f21bd4e, (q31_t)0xa818a9d,
+ (q31_t)0x7f23cc2e, (q31_t)0xa752510, (q31_t)0x7f25d89e, (q31_t)0xa68bf1b,
+ (q31_t)0x7f27e29f, (q31_t)0xa5c58c0, (q31_t)0x7f29ea31, (q31_t)0xa4ff1fe,
+ (q31_t)0x7f2bef53, (q31_t)0xa438ad7, (q31_t)0x7f2df206, (q31_t)0xa37234a,
+ (q31_t)0x7f2ff24a, (q31_t)0xa2abb59, (q31_t)0x7f31f01d, (q31_t)0xa1e5303,
+ (q31_t)0x7f33eb81, (q31_t)0xa11ea49, (q31_t)0x7f35e476, (q31_t)0xa05812c,
+ (q31_t)0x7f37dafa, (q31_t)0x9f917ac, (q31_t)0x7f39cf0e, (q31_t)0x9ecadc9,
+ (q31_t)0x7f3bc0b3, (q31_t)0x9e04385, (q31_t)0x7f3dafe7, (q31_t)0x9d3d8df,
+ (q31_t)0x7f3f9cab, (q31_t)0x9c76dd8, (q31_t)0x7f4186ff, (q31_t)0x9bb0271,
+ (q31_t)0x7f436ee3, (q31_t)0x9ae96aa, (q31_t)0x7f455456, (q31_t)0x9a22a83,
+ (q31_t)0x7f473759, (q31_t)0x995bdfd, (q31_t)0x7f4917eb, (q31_t)0x9895118,
+ (q31_t)0x7f4af60d, (q31_t)0x97ce3d5, (q31_t)0x7f4cd1be, (q31_t)0x9707635,
+ (q31_t)0x7f4eaafe, (q31_t)0x9640837, (q31_t)0x7f5081cd, (q31_t)0x95799dd,
+ (q31_t)0x7f52562c, (q31_t)0x94b2b27, (q31_t)0x7f54281a, (q31_t)0x93ebc14,
+ (q31_t)0x7f55f796, (q31_t)0x9324ca7, (q31_t)0x7f57c4a2, (q31_t)0x925dcdf,
+ (q31_t)0x7f598f3c, (q31_t)0x9196cbc, (q31_t)0x7f5b5765, (q31_t)0x90cfc40,
+ (q31_t)0x7f5d1d1d, (q31_t)0x9008b6a, (q31_t)0x7f5ee063, (q31_t)0x8f41a3c,
+ (q31_t)0x7f60a138, (q31_t)0x8e7a8b5, (q31_t)0x7f625f9b, (q31_t)0x8db36d6,
+ (q31_t)0x7f641b8d, (q31_t)0x8cec4a0, (q31_t)0x7f65d50d, (q31_t)0x8c25213,
+ (q31_t)0x7f678c1c, (q31_t)0x8b5df30, (q31_t)0x7f6940b8, (q31_t)0x8a96bf6,
+ (q31_t)0x7f6af2e3, (q31_t)0x89cf867, (q31_t)0x7f6ca29c, (q31_t)0x8908483,
+ (q31_t)0x7f6e4fe3, (q31_t)0x884104b, (q31_t)0x7f6ffab8, (q31_t)0x8779bbe,
+ (q31_t)0x7f71a31b, (q31_t)0x86b26de, (q31_t)0x7f73490b, (q31_t)0x85eb1ab,
+ (q31_t)0x7f74ec8a, (q31_t)0x8523c25, (q31_t)0x7f768d96, (q31_t)0x845c64d,
+ (q31_t)0x7f782c30, (q31_t)0x8395024, (q31_t)0x7f79c857, (q31_t)0x82cd9a9,
+ (q31_t)0x7f7b620c, (q31_t)0x82062de, (q31_t)0x7f7cf94e, (q31_t)0x813ebc2,
+ (q31_t)0x7f7e8e1e, (q31_t)0x8077457, (q31_t)0x7f80207b, (q31_t)0x7fafc9c,
+ (q31_t)0x7f81b065, (q31_t)0x7ee8493, (q31_t)0x7f833ddd, (q31_t)0x7e20c3b,
+ (q31_t)0x7f84c8e2, (q31_t)0x7d59396, (q31_t)0x7f865174, (q31_t)0x7c91aa3,
+ (q31_t)0x7f87d792, (q31_t)0x7bca163, (q31_t)0x7f895b3e, (q31_t)0x7b027d7,
+ (q31_t)0x7f8adc77, (q31_t)0x7a3adff, (q31_t)0x7f8c5b3d, (q31_t)0x79733dc,
+ (q31_t)0x7f8dd78f, (q31_t)0x78ab96e, (q31_t)0x7f8f516e, (q31_t)0x77e3eb5,
+ (q31_t)0x7f90c8da, (q31_t)0x771c3b3, (q31_t)0x7f923dd2, (q31_t)0x7654867,
+ (q31_t)0x7f93b058, (q31_t)0x758ccd2, (q31_t)0x7f952069, (q31_t)0x74c50f4,
+ (q31_t)0x7f968e07, (q31_t)0x73fd4cf, (q31_t)0x7f97f932, (q31_t)0x7335862,
+ (q31_t)0x7f9961e8, (q31_t)0x726dbae, (q31_t)0x7f9ac82c, (q31_t)0x71a5eb3,
+ (q31_t)0x7f9c2bfb, (q31_t)0x70de172, (q31_t)0x7f9d8d56, (q31_t)0x70163eb,
+ (q31_t)0x7f9eec3e, (q31_t)0x6f4e620, (q31_t)0x7fa048b2, (q31_t)0x6e86810,
+ (q31_t)0x7fa1a2b2, (q31_t)0x6dbe9bb, (q31_t)0x7fa2fa3d, (q31_t)0x6cf6b23,
+ (q31_t)0x7fa44f55, (q31_t)0x6c2ec48, (q31_t)0x7fa5a1f9, (q31_t)0x6b66d29,
+ (q31_t)0x7fa6f228, (q31_t)0x6a9edc9, (q31_t)0x7fa83fe3, (q31_t)0x69d6e27,
+ (q31_t)0x7fa98b2a, (q31_t)0x690ee44, (q31_t)0x7faad3fd, (q31_t)0x6846e1f,
+ (q31_t)0x7fac1a5b, (q31_t)0x677edbb, (q31_t)0x7fad5e45, (q31_t)0x66b6d16,
+ (q31_t)0x7fae9fbb, (q31_t)0x65eec33, (q31_t)0x7fafdebb, (q31_t)0x6526b10,
+ (q31_t)0x7fb11b48, (q31_t)0x645e9af, (q31_t)0x7fb2555f, (q31_t)0x6396810,
+ (q31_t)0x7fb38d02, (q31_t)0x62ce634, (q31_t)0x7fb4c231, (q31_t)0x620641a,
+ (q31_t)0x7fb5f4ea, (q31_t)0x613e1c5, (q31_t)0x7fb7252f, (q31_t)0x6075f33,
+ (q31_t)0x7fb852ff, (q31_t)0x5fadc66, (q31_t)0x7fb97e5a, (q31_t)0x5ee595d,
+ (q31_t)0x7fbaa740, (q31_t)0x5e1d61b, (q31_t)0x7fbbcdb1, (q31_t)0x5d5529e,
+ (q31_t)0x7fbcf1ad, (q31_t)0x5c8cee7, (q31_t)0x7fbe1334, (q31_t)0x5bc4af8,
+ (q31_t)0x7fbf3246, (q31_t)0x5afc6d0, (q31_t)0x7fc04ee3, (q31_t)0x5a3426f,
+ (q31_t)0x7fc1690a, (q31_t)0x596bdd7, (q31_t)0x7fc280bc, (q31_t)0x58a3908,
+ (q31_t)0x7fc395f9, (q31_t)0x57db403, (q31_t)0x7fc4a8c1, (q31_t)0x5712ec7,
+ (q31_t)0x7fc5b913, (q31_t)0x564a955, (q31_t)0x7fc6c6f0, (q31_t)0x55823ae,
+ (q31_t)0x7fc7d258, (q31_t)0x54b9dd3, (q31_t)0x7fc8db4a, (q31_t)0x53f17c3,
+ (q31_t)0x7fc9e1c6, (q31_t)0x532917f, (q31_t)0x7fcae5cd, (q31_t)0x5260b08,
+ (q31_t)0x7fcbe75e, (q31_t)0x519845e, (q31_t)0x7fcce67a, (q31_t)0x50cfd82,
+ (q31_t)0x7fcde320, (q31_t)0x5007674, (q31_t)0x7fcedd50, (q31_t)0x4f3ef35,
+ (q31_t)0x7fcfd50b, (q31_t)0x4e767c5, (q31_t)0x7fd0ca4f, (q31_t)0x4dae024,
+ (q31_t)0x7fd1bd1e, (q31_t)0x4ce5854, (q31_t)0x7fd2ad77, (q31_t)0x4c1d054,
+ (q31_t)0x7fd39b5a, (q31_t)0x4b54825, (q31_t)0x7fd486c7, (q31_t)0x4a8bfc7,
+ (q31_t)0x7fd56fbe, (q31_t)0x49c373c, (q31_t)0x7fd6563f, (q31_t)0x48fae83,
+ (q31_t)0x7fd73a4a, (q31_t)0x483259d, (q31_t)0x7fd81bdf, (q31_t)0x4769c8b,
+ (q31_t)0x7fd8fafe, (q31_t)0x46a134c, (q31_t)0x7fd9d7a7, (q31_t)0x45d89e2,
+ (q31_t)0x7fdab1d9, (q31_t)0x451004d, (q31_t)0x7fdb8996, (q31_t)0x444768d,
+ (q31_t)0x7fdc5edc, (q31_t)0x437eca4, (q31_t)0x7fdd31ac, (q31_t)0x42b6290,
+ (q31_t)0x7fde0205, (q31_t)0x41ed854, (q31_t)0x7fdecfe8, (q31_t)0x4124dee,
+ (q31_t)0x7fdf9b55, (q31_t)0x405c361, (q31_t)0x7fe0644b, (q31_t)0x3f938ac,
+ (q31_t)0x7fe12acb, (q31_t)0x3ecadcf, (q31_t)0x7fe1eed5, (q31_t)0x3e022cc,
+ (q31_t)0x7fe2b067, (q31_t)0x3d397a3, (q31_t)0x7fe36f84, (q31_t)0x3c70c54,
+ (q31_t)0x7fe42c2a, (q31_t)0x3ba80df, (q31_t)0x7fe4e659, (q31_t)0x3adf546,
+ (q31_t)0x7fe59e12, (q31_t)0x3a16988, (q31_t)0x7fe65354, (q31_t)0x394dda7,
+ (q31_t)0x7fe7061f, (q31_t)0x38851a2, (q31_t)0x7fe7b674, (q31_t)0x37bc57b,
+ (q31_t)0x7fe86452, (q31_t)0x36f3931, (q31_t)0x7fe90fb9, (q31_t)0x362acc5,
+ (q31_t)0x7fe9b8a9, (q31_t)0x3562038, (q31_t)0x7fea5f23, (q31_t)0x3499389,
+ (q31_t)0x7feb0326, (q31_t)0x33d06bb, (q31_t)0x7feba4b2, (q31_t)0x33079cc,
+ (q31_t)0x7fec43c7, (q31_t)0x323ecbe, (q31_t)0x7fece065, (q31_t)0x3175f91,
+ (q31_t)0x7fed7a8c, (q31_t)0x30ad245, (q31_t)0x7fee123d, (q31_t)0x2fe44dc,
+ (q31_t)0x7feea776, (q31_t)0x2f1b755, (q31_t)0x7fef3a39, (q31_t)0x2e529b0,
+ (q31_t)0x7fefca84, (q31_t)0x2d89bf0, (q31_t)0x7ff05858, (q31_t)0x2cc0e13,
+ (q31_t)0x7ff0e3b6, (q31_t)0x2bf801a, (q31_t)0x7ff16c9c, (q31_t)0x2b2f207,
+ (q31_t)0x7ff1f30b, (q31_t)0x2a663d8, (q31_t)0x7ff27703, (q31_t)0x299d590,
+ (q31_t)0x7ff2f884, (q31_t)0x28d472e, (q31_t)0x7ff3778e, (q31_t)0x280b8b3,
+ (q31_t)0x7ff3f420, (q31_t)0x2742a1f, (q31_t)0x7ff46e3c, (q31_t)0x2679b73,
+ (q31_t)0x7ff4e5e0, (q31_t)0x25b0caf, (q31_t)0x7ff55b0d, (q31_t)0x24e7dd4,
+ (q31_t)0x7ff5cdc3, (q31_t)0x241eee2, (q31_t)0x7ff63e01, (q31_t)0x2355fd9,
+ (q31_t)0x7ff6abc8, (q31_t)0x228d0bb, (q31_t)0x7ff71718, (q31_t)0x21c4188,
+ (q31_t)0x7ff77ff1, (q31_t)0x20fb240, (q31_t)0x7ff7e652, (q31_t)0x20322e3,
+ (q31_t)0x7ff84a3c, (q31_t)0x1f69373, (q31_t)0x7ff8abae, (q31_t)0x1ea03ef,
+ (q31_t)0x7ff90aaa, (q31_t)0x1dd7459, (q31_t)0x7ff9672d, (q31_t)0x1d0e4b0,
+ (q31_t)0x7ff9c13a, (q31_t)0x1c454f5, (q31_t)0x7ffa18cf, (q31_t)0x1b7c528,
+ (q31_t)0x7ffa6dec, (q31_t)0x1ab354b, (q31_t)0x7ffac092, (q31_t)0x19ea55d,
+ (q31_t)0x7ffb10c1, (q31_t)0x192155f, (q31_t)0x7ffb5e78, (q31_t)0x1858552,
+ (q31_t)0x7ffba9b8, (q31_t)0x178f536, (q31_t)0x7ffbf280, (q31_t)0x16c650b,
+ (q31_t)0x7ffc38d1, (q31_t)0x15fd4d2, (q31_t)0x7ffc7caa, (q31_t)0x153448c,
+ (q31_t)0x7ffcbe0c, (q31_t)0x146b438, (q31_t)0x7ffcfcf6, (q31_t)0x13a23d8,
+ (q31_t)0x7ffd3969, (q31_t)0x12d936c, (q31_t)0x7ffd7364, (q31_t)0x12102f4,
+ (q31_t)0x7ffdaae7, (q31_t)0x1147271, (q31_t)0x7ffddff3, (q31_t)0x107e1e3,
+ (q31_t)0x7ffe1288, (q31_t)0xfb514b, (q31_t)0x7ffe42a4, (q31_t)0xeec0aa,
+ (q31_t)0x7ffe704a, (q31_t)0xe22fff, (q31_t)0x7ffe9b77, (q31_t)0xd59f4c,
+ (q31_t)0x7ffec42d, (q31_t)0xc90e90, (q31_t)0x7ffeea6c, (q31_t)0xbc7dcc,
+ (q31_t)0x7fff0e32, (q31_t)0xafed02, (q31_t)0x7fff2f82, (q31_t)0xa35c30,
+ (q31_t)0x7fff4e59, (q31_t)0x96cb58, (q31_t)0x7fff6ab9, (q31_t)0x8a3a7b,
+ (q31_t)0x7fff84a1, (q31_t)0x7da998, (q31_t)0x7fff9c12, (q31_t)0x7118b0,
+ (q31_t)0x7fffb10b, (q31_t)0x6487c4, (q31_t)0x7fffc38c, (q31_t)0x57f6d4,
+ (q31_t)0x7fffd396, (q31_t)0x4b65e1, (q31_t)0x7fffe128, (q31_t)0x3ed4ea,
+ (q31_t)0x7fffec43, (q31_t)0x3243f1, (q31_t)0x7ffff4e6, (q31_t)0x25b2f7,
+ (q31_t)0x7ffffb11, (q31_t)0x1921fb, (q31_t)0x7ffffec4, (q31_t)0xc90fe,
+ (q31_t)0x7fffffff, (q31_t)0x0, (q31_t)0x7ffffec4, (q31_t)0xfff36f02,
+ (q31_t)0x7ffffb11, (q31_t)0xffe6de05, (q31_t)0x7ffff4e6, (q31_t)0xffda4d09,
+ (q31_t)0x7fffec43, (q31_t)0xffcdbc0f, (q31_t)0x7fffe128, (q31_t)0xffc12b16,
+ (q31_t)0x7fffd396, (q31_t)0xffb49a1f, (q31_t)0x7fffc38c, (q31_t)0xffa8092c,
+ (q31_t)0x7fffb10b, (q31_t)0xff9b783c, (q31_t)0x7fff9c12, (q31_t)0xff8ee750,
+ (q31_t)0x7fff84a1, (q31_t)0xff825668, (q31_t)0x7fff6ab9, (q31_t)0xff75c585,
+ (q31_t)0x7fff4e59, (q31_t)0xff6934a8, (q31_t)0x7fff2f82, (q31_t)0xff5ca3d0,
+ (q31_t)0x7fff0e32, (q31_t)0xff5012fe, (q31_t)0x7ffeea6c, (q31_t)0xff438234,
+ (q31_t)0x7ffec42d, (q31_t)0xff36f170, (q31_t)0x7ffe9b77, (q31_t)0xff2a60b4,
+ (q31_t)0x7ffe704a, (q31_t)0xff1dd001, (q31_t)0x7ffe42a4, (q31_t)0xff113f56,
+ (q31_t)0x7ffe1288, (q31_t)0xff04aeb5, (q31_t)0x7ffddff3, (q31_t)0xfef81e1d,
+ (q31_t)0x7ffdaae7, (q31_t)0xfeeb8d8f, (q31_t)0x7ffd7364, (q31_t)0xfedefd0c,
+ (q31_t)0x7ffd3969, (q31_t)0xfed26c94, (q31_t)0x7ffcfcf6, (q31_t)0xfec5dc28,
+ (q31_t)0x7ffcbe0c, (q31_t)0xfeb94bc8, (q31_t)0x7ffc7caa, (q31_t)0xfeacbb74,
+ (q31_t)0x7ffc38d1, (q31_t)0xfea02b2e, (q31_t)0x7ffbf280, (q31_t)0xfe939af5,
+ (q31_t)0x7ffba9b8, (q31_t)0xfe870aca, (q31_t)0x7ffb5e78, (q31_t)0xfe7a7aae,
+ (q31_t)0x7ffb10c1, (q31_t)0xfe6deaa1, (q31_t)0x7ffac092, (q31_t)0xfe615aa3,
+ (q31_t)0x7ffa6dec, (q31_t)0xfe54cab5, (q31_t)0x7ffa18cf, (q31_t)0xfe483ad8,
+ (q31_t)0x7ff9c13a, (q31_t)0xfe3bab0b, (q31_t)0x7ff9672d, (q31_t)0xfe2f1b50,
+ (q31_t)0x7ff90aaa, (q31_t)0xfe228ba7, (q31_t)0x7ff8abae, (q31_t)0xfe15fc11,
+ (q31_t)0x7ff84a3c, (q31_t)0xfe096c8d, (q31_t)0x7ff7e652, (q31_t)0xfdfcdd1d,
+ (q31_t)0x7ff77ff1, (q31_t)0xfdf04dc0, (q31_t)0x7ff71718, (q31_t)0xfde3be78,
+ (q31_t)0x7ff6abc8, (q31_t)0xfdd72f45, (q31_t)0x7ff63e01, (q31_t)0xfdcaa027,
+ (q31_t)0x7ff5cdc3, (q31_t)0xfdbe111e, (q31_t)0x7ff55b0d, (q31_t)0xfdb1822c,
+ (q31_t)0x7ff4e5e0, (q31_t)0xfda4f351, (q31_t)0x7ff46e3c, (q31_t)0xfd98648d,
+ (q31_t)0x7ff3f420, (q31_t)0xfd8bd5e1, (q31_t)0x7ff3778e, (q31_t)0xfd7f474d,
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+ (q31_t)0x5d09b389, (q31_t)0xc6f777c1, (q31_t)0x5cfe802b, (q31_t)0xc6f1c540,
+ (q31_t)0x5cf34baf, (q31_t)0xc6ec14f2, (q31_t)0x5ce81615, (q31_t)0xc6e666d7,
+ (q31_t)0x5cdcdf5e, (q31_t)0xc6e0baf0, (q31_t)0x5cd1a78a, (q31_t)0xc6db113d,
+ (q31_t)0x5cc66e99, (q31_t)0xc6d569be, (q31_t)0x5cbb348d, (q31_t)0xc6cfc472,
+ (q31_t)0x5caff965, (q31_t)0xc6ca215c, (q31_t)0x5ca4bd21, (q31_t)0xc6c4807a,
+ (q31_t)0x5c997fc4, (q31_t)0xc6bee1cd, (q31_t)0x5c8e414b, (q31_t)0xc6b94554,
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+ (q31_t)0x5c6c7f4a, (q31_t)0xc6a87d2d, (q31_t)0x5c613c6d, (q31_t)0xc6a2e98b,
+ (q31_t)0x5c55f878, (q31_t)0xc69d5820, (q31_t)0x5c4ab36b, (q31_t)0xc697c8eb,
+ (q31_t)0x5c3f6d47, (q31_t)0xc6923bec, (q31_t)0x5c34260c, (q31_t)0xc68cb124,
+ (q31_t)0x5c28ddbb, (q31_t)0xc6872894, (q31_t)0x5c1d9454, (q31_t)0xc681a23a,
+ (q31_t)0x5c1249d8, (q31_t)0xc67c1e18, (q31_t)0x5c06fe46, (q31_t)0xc6769c2e,
+ (q31_t)0x5bfbb1a0, (q31_t)0xc6711c7b, (q31_t)0x5bf063e6, (q31_t)0xc66b9f01,
+ (q31_t)0x5be51518, (q31_t)0xc66623be, (q31_t)0x5bd9c537, (q31_t)0xc660aab5,
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+ (q31_t)0x5bb7cf23, (q31_t)0xc6504ced, (q31_t)0x5bac7af9, (q31_t)0xc64adcc7,
+ (q31_t)0x5ba125bd, (q31_t)0xc6456edb, (q31_t)0x5b95cf71, (q31_t)0xc6400329,
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+ (q31_t)0x5b73c62d, (q31_t)0xc62fcd6f, (q31_t)0x5b686ba3, (q31_t)0xc62a6aa6,
+ (q31_t)0x5b5d100a, (q31_t)0xc6250a18, (q31_t)0x5b51b363, (q31_t)0xc61fabc4,
+ (q31_t)0x5b4655ae, (q31_t)0xc61a4fac, (q31_t)0x5b3af6ec, (q31_t)0xc614f5cf,
+ (q31_t)0x5b2f971e, (q31_t)0xc60f9e2e, (q31_t)0x5b243643, (q31_t)0xc60a48c9,
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+ (q31_t)0x5b020d6c, (q31_t)0xc5fa5603, (q31_t)0x5af6a865, (q31_t)0xc5f5098f,
+ (q31_t)0x5aeb4253, (q31_t)0xc5efbf58, (q31_t)0x5adfdb37, (q31_t)0xc5ea775e,
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+ (q31_t)0x5aa6c82b, (q31_t)0xc5d03118, (q31_t)0x5a9b5adf, (q31_t)0xc5caf690,
+ (q31_t)0x5a8fec8c, (q31_t)0xc5c5be47, (q31_t)0x5a847d33, (q31_t)0xc5c0883d,
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+ (q31_t)0x5a622907, (q31_t)0xc5b0f399, (q31_t)0x5a56b599, (q31_t)0xc5abc68c,
+ (q31_t)0x5a4b4128, (q31_t)0xc5a69bbe, (q31_t)0x5a3fcbb3, (q31_t)0xc5a17330,
+ (q31_t)0x5a34553b, (q31_t)0xc59c4ce3, (q31_t)0x5a28ddc0, (q31_t)0xc59728d5,
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+ (q31_t)0x5a067145, (q31_t)0xc587ca31, (q31_t)0x59faf5c5, (q31_t)0xc582af26,
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+ (q31_t)0x59d87d42, (q31_t)0xc5736b90, (q31_t)0x59ccfdc2, (q31_t)0xc56e598c,
+ (q31_t)0x59c17d44, (q31_t)0xc56949ca, (q31_t)0x59b5fbc8, (q31_t)0xc5643c4a,
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+ (q31_t)0x59937161, (q31_t)0xc555215a, (q31_t)0x5987ebf0, (q31_t)0xc5501ce5,
+ (q31_t)0x597c6584, (q31_t)0xc54b1ab4, (q31_t)0x5970de1b, (q31_t)0xc5461ac6,
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+ (q31_t)0x594e4201, (q31_t)0xc5372891, (q31_t)0x5942b6af, (q31_t)0xc53231b3,
+ (q31_t)0x59372a64, (q31_t)0xc52d3d18, (q31_t)0x592b9d1f, (q31_t)0xc5284ac3,
+ (q31_t)0x59200ee3, (q31_t)0xc5235ab2, (q31_t)0x59147fae, (q31_t)0xc51e6ce6,
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+ (q31_t)0x58ac4b87, (q31_t)0xc4f276f7, (q31_t)0x58a0b2bb, (q31_t)0xc4ed9fe7,
+ (q31_t)0x589518fc, (q31_t)0xc4e8cb1e, (q31_t)0x58897e4a, (q31_t)0xc4e3f89c,
+ (q31_t)0x587de2a7, (q31_t)0xc4df2862, (q31_t)0x58724611, (q31_t)0xc4da5a6f,
+ (q31_t)0x5866a88a, (q31_t)0xc4d58ec3, (q31_t)0x585b0a13, (q31_t)0xc4d0c560,
+ (q31_t)0x584f6aab, (q31_t)0xc4cbfe45, (q31_t)0x5843ca53, (q31_t)0xc4c73972,
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+ (q31_t)0x5820e3b0, (q31_t)0xc4b8f8ad, (q31_t)0x58153f9d, (q31_t)0xc4b43cfd,
+ (q31_t)0x58099a9c, (q31_t)0xc4af8397, (q31_t)0x57fdf4ae, (q31_t)0xc4aacc7a,
+ (q31_t)0x57f24dd3, (q31_t)0xc4a617a6, (q31_t)0x57e6a60c, (q31_t)0xc4a1651c,
+ (q31_t)0x57dafd59, (q31_t)0xc49cb4dd, (q31_t)0x57cf53bb, (q31_t)0xc49806e7,
+ (q31_t)0x57c3a931, (q31_t)0xc4935b3c, (q31_t)0x57b7fdbd, (q31_t)0xc48eb1db,
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+ (q31_t)0x5766340f, (q31_t)0xc46e5069, (q31_t)0x575a8157, (q31_t)0xc469b963,
+ (q31_t)0x574ecdb8, (q31_t)0xc46524a9, (q31_t)0x57431933, (q31_t)0xc460923b,
+ (q31_t)0x573763c9, (q31_t)0xc45c0219, (q31_t)0x572bad7a, (q31_t)0xc4577444,
+ (q31_t)0x571ff646, (q31_t)0xc452e8bc, (q31_t)0x57143e2d, (q31_t)0xc44e5f80,
+ (q31_t)0x57088531, (q31_t)0xc449d892, (q31_t)0x56fccb51, (q31_t)0xc44553f2,
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+ (q31_t)0x56aa9d7e, (q31_t)0xc425f410, (q31_t)0x569edc94, (q31_t)0xc42181e0,
+ (q31_t)0x56931acb, (q31_t)0xc41d11ff, (q31_t)0x56875823, (q31_t)0xc418a46d,
+ (q31_t)0x567b949d, (q31_t)0xc414392b, (q31_t)0x566fd039, (q31_t)0xc40fd037,
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+ (q31_t)0x564c7ddd, (q31_t)0xc402a33c, (q31_t)0x5640b606, (q31_t)0xc3fe4388,
+ (q31_t)0x5634ed53, (q31_t)0xc3f9e624, (q31_t)0x562923c5, (q31_t)0xc3f58b10,
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+ (q31_t)0x558f9a76, (q31_t)0xc3bdbdf6, (q31_t)0x5583c51b, (q31_t)0xc3b9835a,
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+ (q31_t)0x545ae653, (q31_t)0xc352bef9, (q31_t)0x544efbfc, (q31_t)0xc34ec0fc,
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+ (q31_t)0x542b3846, (q31_t)0xc342d510, (q31_t)0x541f4ad1, (q31_t)0xc33ee070,
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+ (q31_t)0x539be3f2, (q31_t)0xc313f848, (q31_t)0x538fed4b, (q31_t)0xc3101fce,
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+ (q31_t)0x533c19b8, (q31_t)0xc2f57644, (q31_t)0x53301d16, (q31_t)0xc2f1b099,
+ (q31_t)0x53241fb6, (q31_t)0xc2eded49, (q31_t)0x5318219a, (q31_t)0xc2ea2c53,
+ (q31_t)0x530c22c1, (q31_t)0xc2e66db8, (q31_t)0x5300232c, (q31_t)0xc2e2b178,
+ (q31_t)0x52f422db, (q31_t)0xc2def794, (q31_t)0x52e821cf, (q31_t)0xc2db400a,
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+ (q31_t)0x527bf7d1, (q31_t)0xc2ba365c, (q31_t)0x526fef90, (q31_t)0xc2b6966c,
+ (q31_t)0x5263e699, (q31_t)0xc2b2f8d8, (q31_t)0x5257dced, (q31_t)0xc2af5da2,
+ (q31_t)0x524bd28c, (q31_t)0xc2abc4c9, (q31_t)0x523fc776, (q31_t)0xc2a82e4d,
+ (q31_t)0x5233bbac, (q31_t)0xc2a49a2e, (q31_t)0x5227af2e, (q31_t)0xc2a1086d,
+ (q31_t)0x521ba1fd, (q31_t)0xc29d790a, (q31_t)0x520f941a, (q31_t)0xc299ec05,
+ (q31_t)0x52038584, (q31_t)0xc296615d, (q31_t)0x51f7763c, (q31_t)0xc292d914,
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+ (q31_t)0x51d3443f, (q31_t)0xc2884e6e, (q31_t)0x51c73235, (q31_t)0xc284cf9f,
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+ (q31_t)0x51a2f7fc, (q31_t)0xc27a616a, (q31_t)0x5196e337, (q31_t)0xc276ec16,
+ (q31_t)0x518acdc4, (q31_t)0xc2737922, (q31_t)0x517eb7a4, (q31_t)0xc270088e,
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+ (q31_t)0x512a09fc, (q31_t)0xc25836f9, (q31_t)0x511dee84, (q31_t)0xc254d965,
+ (q31_t)0x5111d263, (q31_t)0xc2517e31, (q31_t)0x5105b599, (q31_t)0xc24e255e,
+ (q31_t)0x50f99827, (q31_t)0xc24aceed, (q31_t)0x50ed7a0e, (q31_t)0xc2477adc,
+ (q31_t)0x50e15b4e, (q31_t)0xc244292c, (q31_t)0x50d53be7, (q31_t)0xc240d9de,
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+ (q31_t)0x50b0d9d0, (q31_t)0xc236fa3b, (q31_t)0x50a4b7d3, (q31_t)0xc233b473,
+ (q31_t)0x50989532, (q31_t)0xc230710d, (q31_t)0x508c71ee, (q31_t)0xc22d3009,
+ (q31_t)0x50804e06, (q31_t)0xc229f167, (q31_t)0x5074297b, (q31_t)0xc226b528,
+ (q31_t)0x5068044e, (q31_t)0xc2237b4b, (q31_t)0x505bde7f, (q31_t)0xc22043d0,
+ (q31_t)0x504fb80e, (q31_t)0xc21d0eb8, (q31_t)0x504390fd, (q31_t)0xc219dc03,
+ (q31_t)0x5037694b, (q31_t)0xc216abb1, (q31_t)0x502b40f8, (q31_t)0xc2137dc2,
+ (q31_t)0x501f1807, (q31_t)0xc2105236, (q31_t)0x5012ee76, (q31_t)0xc20d290d,
+ (q31_t)0x5006c446, (q31_t)0xc20a0248, (q31_t)0x4ffa9979, (q31_t)0xc206dde6,
+ (q31_t)0x4fee6e0d, (q31_t)0xc203bbe8, (q31_t)0x4fe24205, (q31_t)0xc2009c4e,
+ (q31_t)0x4fd6155f, (q31_t)0xc1fd7f17, (q31_t)0x4fc9e81e, (q31_t)0xc1fa6445,
+ (q31_t)0x4fbdba40, (q31_t)0xc1f74bd6, (q31_t)0x4fb18bc8, (q31_t)0xc1f435cc,
+ (q31_t)0x4fa55cb4, (q31_t)0xc1f12227, (q31_t)0x4f992d06, (q31_t)0xc1ee10e5,
+ (q31_t)0x4f8cfcbe, (q31_t)0xc1eb0209, (q31_t)0x4f80cbdc, (q31_t)0xc1e7f591,
+ (q31_t)0x4f749a61, (q31_t)0xc1e4eb7e, (q31_t)0x4f68684e, (q31_t)0xc1e1e3d0,
+ (q31_t)0x4f5c35a3, (q31_t)0xc1dede87, (q31_t)0x4f500260, (q31_t)0xc1dbdba3,
+ (q31_t)0x4f43ce86, (q31_t)0xc1d8db25, (q31_t)0x4f379a16, (q31_t)0xc1d5dd0c,
+ (q31_t)0x4f2b650f, (q31_t)0xc1d2e158, (q31_t)0x4f1f2f73, (q31_t)0xc1cfe80a,
+ (q31_t)0x4f12f941, (q31_t)0xc1ccf122, (q31_t)0x4f06c27a, (q31_t)0xc1c9fca0,
+ (q31_t)0x4efa8b20, (q31_t)0xc1c70a84, (q31_t)0x4eee5331, (q31_t)0xc1c41ace,
+ (q31_t)0x4ee21aaf, (q31_t)0xc1c12d7e, (q31_t)0x4ed5e19a, (q31_t)0xc1be4294,
+ (q31_t)0x4ec9a7f3, (q31_t)0xc1bb5a11, (q31_t)0x4ebd6db9, (q31_t)0xc1b873f5,
+ (q31_t)0x4eb132ef, (q31_t)0xc1b5903f, (q31_t)0x4ea4f793, (q31_t)0xc1b2aef0,
+ (q31_t)0x4e98bba7, (q31_t)0xc1afd007, (q31_t)0x4e8c7f2a, (q31_t)0xc1acf386,
+ (q31_t)0x4e80421e, (q31_t)0xc1aa196c, (q31_t)0x4e740483, (q31_t)0xc1a741b9,
+ (q31_t)0x4e67c65a, (q31_t)0xc1a46c6e, (q31_t)0x4e5b87a2, (q31_t)0xc1a1998a,
+ (q31_t)0x4e4f485c, (q31_t)0xc19ec90d, (q31_t)0x4e430889, (q31_t)0xc19bfaf9,
+ (q31_t)0x4e36c82a, (q31_t)0xc1992f4c, (q31_t)0x4e2a873e, (q31_t)0xc1966606,
+ (q31_t)0x4e1e45c6, (q31_t)0xc1939f29, (q31_t)0x4e1203c3, (q31_t)0xc190dab4,
+ (q31_t)0x4e05c135, (q31_t)0xc18e18a7, (q31_t)0x4df97e1d, (q31_t)0xc18b5903,
+ (q31_t)0x4ded3a7b, (q31_t)0xc1889bc6, (q31_t)0x4de0f64f, (q31_t)0xc185e0f3,
+ (q31_t)0x4dd4b19a, (q31_t)0xc1832888, (q31_t)0x4dc86c5d, (q31_t)0xc1807285,
+ (q31_t)0x4dbc2698, (q31_t)0xc17dbeec, (q31_t)0x4dafe04b, (q31_t)0xc17b0dbb,
+ (q31_t)0x4da39978, (q31_t)0xc1785ef4, (q31_t)0x4d97521d, (q31_t)0xc175b296,
+ (q31_t)0x4d8b0a3d, (q31_t)0xc17308a1, (q31_t)0x4d7ec1d6, (q31_t)0xc1706115,
+ (q31_t)0x4d7278eb, (q31_t)0xc16dbbf3, (q31_t)0x4d662f7b, (q31_t)0xc16b193a,
+ (q31_t)0x4d59e586, (q31_t)0xc16878eb, (q31_t)0x4d4d9b0e, (q31_t)0xc165db05,
+ (q31_t)0x4d415013, (q31_t)0xc1633f8a, (q31_t)0x4d350495, (q31_t)0xc160a678,
+ (q31_t)0x4d28b894, (q31_t)0xc15e0fd1, (q31_t)0x4d1c6c11, (q31_t)0xc15b7b94,
+ (q31_t)0x4d101f0e, (q31_t)0xc158e9c1, (q31_t)0x4d03d189, (q31_t)0xc1565a58,
+ (q31_t)0x4cf78383, (q31_t)0xc153cd5a, (q31_t)0x4ceb34fe, (q31_t)0xc15142c6,
+ (q31_t)0x4cdee5f9, (q31_t)0xc14eba9d, (q31_t)0x4cd29676, (q31_t)0xc14c34df,
+ (q31_t)0x4cc64673, (q31_t)0xc149b18b, (q31_t)0x4cb9f5f3, (q31_t)0xc14730a3,
+ (q31_t)0x4cada4f5, (q31_t)0xc144b225, (q31_t)0x4ca1537a, (q31_t)0xc1423613,
+ (q31_t)0x4c950182, (q31_t)0xc13fbc6c, (q31_t)0x4c88af0e, (q31_t)0xc13d4530,
+ (q31_t)0x4c7c5c1e, (q31_t)0xc13ad060, (q31_t)0x4c7008b3, (q31_t)0xc1385dfb,
+ (q31_t)0x4c63b4ce, (q31_t)0xc135ee02, (q31_t)0x4c57606e, (q31_t)0xc1338075,
+ (q31_t)0x4c4b0b94, (q31_t)0xc1311553, (q31_t)0x4c3eb641, (q31_t)0xc12eac9d,
+ (q31_t)0x4c326075, (q31_t)0xc12c4653, (q31_t)0x4c260a31, (q31_t)0xc129e276,
+ (q31_t)0x4c19b374, (q31_t)0xc1278104, (q31_t)0x4c0d5c41, (q31_t)0xc12521ff,
+ (q31_t)0x4c010496, (q31_t)0xc122c566, (q31_t)0x4bf4ac75, (q31_t)0xc1206b39,
+ (q31_t)0x4be853de, (q31_t)0xc11e1379, (q31_t)0x4bdbfad1, (q31_t)0xc11bbe26,
+ (q31_t)0x4bcfa150, (q31_t)0xc1196b3f, (q31_t)0x4bc34759, (q31_t)0xc1171ac6,
+ (q31_t)0x4bb6ecef, (q31_t)0xc114ccb9, (q31_t)0x4baa9211, (q31_t)0xc1128119,
+ (q31_t)0x4b9e36c0, (q31_t)0xc11037e6, (q31_t)0x4b91dafc, (q31_t)0xc10df120,
+ (q31_t)0x4b857ec7, (q31_t)0xc10bacc8, (q31_t)0x4b79221f, (q31_t)0xc1096add,
+ (q31_t)0x4b6cc506, (q31_t)0xc1072b5f, (q31_t)0x4b60677c, (q31_t)0xc104ee4f,
+ (q31_t)0x4b540982, (q31_t)0xc102b3ac, (q31_t)0x4b47ab19, (q31_t)0xc1007b77,
+ (q31_t)0x4b3b4c40, (q31_t)0xc0fe45b0, (q31_t)0x4b2eecf8, (q31_t)0xc0fc1257,
+ (q31_t)0x4b228d42, (q31_t)0xc0f9e16b, (q31_t)0x4b162d1d, (q31_t)0xc0f7b2ee,
+ (q31_t)0x4b09cc8c, (q31_t)0xc0f586df, (q31_t)0x4afd6b8d, (q31_t)0xc0f35d3e,
+ (q31_t)0x4af10a22, (q31_t)0xc0f1360b, (q31_t)0x4ae4a84b, (q31_t)0xc0ef1147,
+ (q31_t)0x4ad84609, (q31_t)0xc0eceef1, (q31_t)0x4acbe35b, (q31_t)0xc0eacf09,
+ (q31_t)0x4abf8043, (q31_t)0xc0e8b190, (q31_t)0x4ab31cc1, (q31_t)0xc0e69686,
+ (q31_t)0x4aa6b8d5, (q31_t)0xc0e47deb, (q31_t)0x4a9a5480, (q31_t)0xc0e267be,
+ (q31_t)0x4a8defc3, (q31_t)0xc0e05401, (q31_t)0x4a818a9d, (q31_t)0xc0de42b2,
+ (q31_t)0x4a752510, (q31_t)0xc0dc33d2, (q31_t)0x4a68bf1b, (q31_t)0xc0da2762,
+ (q31_t)0x4a5c58c0, (q31_t)0xc0d81d61, (q31_t)0x4a4ff1fe, (q31_t)0xc0d615cf,
+ (q31_t)0x4a438ad7, (q31_t)0xc0d410ad, (q31_t)0x4a37234a, (q31_t)0xc0d20dfa,
+ (q31_t)0x4a2abb59, (q31_t)0xc0d00db6, (q31_t)0x4a1e5303, (q31_t)0xc0ce0fe3,
+ (q31_t)0x4a11ea49, (q31_t)0xc0cc147f, (q31_t)0x4a05812c, (q31_t)0xc0ca1b8a,
+ (q31_t)0x49f917ac, (q31_t)0xc0c82506, (q31_t)0x49ecadc9, (q31_t)0xc0c630f2,
+ (q31_t)0x49e04385, (q31_t)0xc0c43f4d, (q31_t)0x49d3d8df, (q31_t)0xc0c25019,
+ (q31_t)0x49c76dd8, (q31_t)0xc0c06355, (q31_t)0x49bb0271, (q31_t)0xc0be7901,
+ (q31_t)0x49ae96aa, (q31_t)0xc0bc911d, (q31_t)0x49a22a83, (q31_t)0xc0baabaa,
+ (q31_t)0x4995bdfd, (q31_t)0xc0b8c8a7, (q31_t)0x49895118, (q31_t)0xc0b6e815,
+ (q31_t)0x497ce3d5, (q31_t)0xc0b509f3, (q31_t)0x49707635, (q31_t)0xc0b32e42,
+ (q31_t)0x49640837, (q31_t)0xc0b15502, (q31_t)0x495799dd, (q31_t)0xc0af7e33,
+ (q31_t)0x494b2b27, (q31_t)0xc0ada9d4, (q31_t)0x493ebc14, (q31_t)0xc0abd7e6,
+ (q31_t)0x49324ca7, (q31_t)0xc0aa086a, (q31_t)0x4925dcdf, (q31_t)0xc0a83b5e,
+ (q31_t)0x49196cbc, (q31_t)0xc0a670c4, (q31_t)0x490cfc40, (q31_t)0xc0a4a89b,
+ (q31_t)0x49008b6a, (q31_t)0xc0a2e2e3, (q31_t)0x48f41a3c, (q31_t)0xc0a11f9d,
+ (q31_t)0x48e7a8b5, (q31_t)0xc09f5ec8, (q31_t)0x48db36d6, (q31_t)0xc09da065,
+ (q31_t)0x48cec4a0, (q31_t)0xc09be473, (q31_t)0x48c25213, (q31_t)0xc09a2af3,
+ (q31_t)0x48b5df30, (q31_t)0xc09873e4, (q31_t)0x48a96bf6, (q31_t)0xc096bf48,
+ (q31_t)0x489cf867, (q31_t)0xc0950d1d, (q31_t)0x48908483, (q31_t)0xc0935d64,
+ (q31_t)0x4884104b, (q31_t)0xc091b01d, (q31_t)0x48779bbe, (q31_t)0xc0900548,
+ (q31_t)0x486b26de, (q31_t)0xc08e5ce5, (q31_t)0x485eb1ab, (q31_t)0xc08cb6f5,
+ (q31_t)0x48523c25, (q31_t)0xc08b1376, (q31_t)0x4845c64d, (q31_t)0xc089726a,
+ (q31_t)0x48395024, (q31_t)0xc087d3d0, (q31_t)0x482cd9a9, (q31_t)0xc08637a9,
+ (q31_t)0x482062de, (q31_t)0xc0849df4, (q31_t)0x4813ebc2, (q31_t)0xc08306b2,
+ (q31_t)0x48077457, (q31_t)0xc08171e2, (q31_t)0x47fafc9c, (q31_t)0xc07fdf85,
+ (q31_t)0x47ee8493, (q31_t)0xc07e4f9b, (q31_t)0x47e20c3b, (q31_t)0xc07cc223,
+ (q31_t)0x47d59396, (q31_t)0xc07b371e, (q31_t)0x47c91aa3, (q31_t)0xc079ae8c,
+ (q31_t)0x47bca163, (q31_t)0xc078286e, (q31_t)0x47b027d7, (q31_t)0xc076a4c2,
+ (q31_t)0x47a3adff, (q31_t)0xc0752389, (q31_t)0x479733dc, (q31_t)0xc073a4c3,
+ (q31_t)0x478ab96e, (q31_t)0xc0722871, (q31_t)0x477e3eb5, (q31_t)0xc070ae92,
+ (q31_t)0x4771c3b3, (q31_t)0xc06f3726, (q31_t)0x47654867, (q31_t)0xc06dc22e,
+ (q31_t)0x4758ccd2, (q31_t)0xc06c4fa8, (q31_t)0x474c50f4, (q31_t)0xc06adf97,
+ (q31_t)0x473fd4cf, (q31_t)0xc06971f9, (q31_t)0x47335862, (q31_t)0xc06806ce,
+ (q31_t)0x4726dbae, (q31_t)0xc0669e18, (q31_t)0x471a5eb3, (q31_t)0xc06537d4,
+ (q31_t)0x470de172, (q31_t)0xc063d405, (q31_t)0x470163eb, (q31_t)0xc06272aa,
+ (q31_t)0x46f4e620, (q31_t)0xc06113c2, (q31_t)0x46e86810, (q31_t)0xc05fb74e,
+ (q31_t)0x46dbe9bb, (q31_t)0xc05e5d4e, (q31_t)0x46cf6b23, (q31_t)0xc05d05c3,
+ (q31_t)0x46c2ec48, (q31_t)0xc05bb0ab, (q31_t)0x46b66d29, (q31_t)0xc05a5e07,
+ (q31_t)0x46a9edc9, (q31_t)0xc0590dd8, (q31_t)0x469d6e27, (q31_t)0xc057c01d,
+ (q31_t)0x4690ee44, (q31_t)0xc05674d6, (q31_t)0x46846e1f, (q31_t)0xc0552c03,
+ (q31_t)0x4677edbb, (q31_t)0xc053e5a5, (q31_t)0x466b6d16, (q31_t)0xc052a1bb,
+ (q31_t)0x465eec33, (q31_t)0xc0516045, (q31_t)0x46526b10, (q31_t)0xc0502145,
+ (q31_t)0x4645e9af, (q31_t)0xc04ee4b8, (q31_t)0x46396810, (q31_t)0xc04daaa1,
+ (q31_t)0x462ce634, (q31_t)0xc04c72fe, (q31_t)0x4620641a, (q31_t)0xc04b3dcf,
+ (q31_t)0x4613e1c5, (q31_t)0xc04a0b16, (q31_t)0x46075f33, (q31_t)0xc048dad1,
+ (q31_t)0x45fadc66, (q31_t)0xc047ad01, (q31_t)0x45ee595d, (q31_t)0xc04681a6,
+ (q31_t)0x45e1d61b, (q31_t)0xc04558c0, (q31_t)0x45d5529e, (q31_t)0xc044324f,
+ (q31_t)0x45c8cee7, (q31_t)0xc0430e53, (q31_t)0x45bc4af8, (q31_t)0xc041eccc,
+ (q31_t)0x45afc6d0, (q31_t)0xc040cdba, (q31_t)0x45a3426f, (q31_t)0xc03fb11d,
+ (q31_t)0x4596bdd7, (q31_t)0xc03e96f6, (q31_t)0x458a3908, (q31_t)0xc03d7f44,
+ (q31_t)0x457db403, (q31_t)0xc03c6a07, (q31_t)0x45712ec7, (q31_t)0xc03b573f,
+ (q31_t)0x4564a955, (q31_t)0xc03a46ed, (q31_t)0x455823ae, (q31_t)0xc0393910,
+ (q31_t)0x454b9dd3, (q31_t)0xc0382da8, (q31_t)0x453f17c3, (q31_t)0xc03724b6,
+ (q31_t)0x4532917f, (q31_t)0xc0361e3a, (q31_t)0x45260b08, (q31_t)0xc0351a33,
+ (q31_t)0x4519845e, (q31_t)0xc03418a2, (q31_t)0x450cfd82, (q31_t)0xc0331986,
+ (q31_t)0x45007674, (q31_t)0xc0321ce0, (q31_t)0x44f3ef35, (q31_t)0xc03122b0,
+ (q31_t)0x44e767c5, (q31_t)0xc0302af5, (q31_t)0x44dae024, (q31_t)0xc02f35b1,
+ (q31_t)0x44ce5854, (q31_t)0xc02e42e2, (q31_t)0x44c1d054, (q31_t)0xc02d5289,
+ (q31_t)0x44b54825, (q31_t)0xc02c64a6, (q31_t)0x44a8bfc7, (q31_t)0xc02b7939,
+ (q31_t)0x449c373c, (q31_t)0xc02a9042, (q31_t)0x448fae83, (q31_t)0xc029a9c1,
+ (q31_t)0x4483259d, (q31_t)0xc028c5b6, (q31_t)0x44769c8b, (q31_t)0xc027e421,
+ (q31_t)0x446a134c, (q31_t)0xc0270502, (q31_t)0x445d89e2, (q31_t)0xc0262859,
+ (q31_t)0x4451004d, (q31_t)0xc0254e27, (q31_t)0x4444768d, (q31_t)0xc024766a,
+ (q31_t)0x4437eca4, (q31_t)0xc023a124, (q31_t)0x442b6290, (q31_t)0xc022ce54,
+ (q31_t)0x441ed854, (q31_t)0xc021fdfb, (q31_t)0x44124dee, (q31_t)0xc0213018,
+ (q31_t)0x4405c361, (q31_t)0xc02064ab, (q31_t)0x43f938ac, (q31_t)0xc01f9bb5,
+ (q31_t)0x43ecadcf, (q31_t)0xc01ed535, (q31_t)0x43e022cc, (q31_t)0xc01e112b,
+ (q31_t)0x43d397a3, (q31_t)0xc01d4f99, (q31_t)0x43c70c54, (q31_t)0xc01c907c,
+ (q31_t)0x43ba80df, (q31_t)0xc01bd3d6, (q31_t)0x43adf546, (q31_t)0xc01b19a7,
+ (q31_t)0x43a16988, (q31_t)0xc01a61ee, (q31_t)0x4394dda7, (q31_t)0xc019acac,
+ (q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c,
+ (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047,
+ (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd,
+ (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e,
+ (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b,
+ (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3,
+ (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7,
+ (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8,
+ (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364,
+ (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd,
+ (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872,
+ (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4,
+ (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3,
+ (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff,
+ (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8,
+ (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae,
+ (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452,
+ (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3,
+ (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731,
+ (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e,
+ (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188,
+ (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80,
+ (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356,
+ (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a,
+ (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c,
+ (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d,
+ (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c,
+ (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489,
+ (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594,
+ (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e,
+ (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547,
+ (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee,
+ (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74,
+ (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8,
+ (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a,
+ (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c,
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15)
+/**
+ @par
+ Generation fixed-point realCoefAQ15 array in Q15 format:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+ pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q15 format
+ round(pATable[i] * pow(2, 15))
+ */
+const q15_t __ALIGNED(4) realCoefAQ15[8192] = {
+ (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000,
+ (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000,
+ (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001,
+ (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001,
+ (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002,
+ (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003,
+ (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004,
+ (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005,
+ (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006,
+ (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007,
+ (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009,
+ (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b,
+ (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d,
+ (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f,
+ (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011,
+ (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013,
+ (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016,
+ (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018,
+ (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b,
+ (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e,
+ (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021,
+ (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024,
+ (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028,
+ (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b,
+ (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f,
+ (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033,
+ (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037,
+ (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b,
+ (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040,
+ (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044,
+ (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049,
+ (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e,
+ (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053,
+ (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058,
+ (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d,
+ (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062,
+ (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068,
+ (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e,
+ (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074,
+ (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a,
+ (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080,
+ (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086,
+ (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d,
+ (q15_t)0x3795, (q15_t)0xc08e, (q15_t)0x3788, (q15_t)0xc090, (q15_t)0x377c, (q15_t)0xc092, (q15_t)0x376f, (q15_t)0xc093,
+ (q15_t)0x3763, (q15_t)0xc095, (q15_t)0x3757, (q15_t)0xc097, (q15_t)0x374a, (q15_t)0xc098, (q15_t)0x373e, (q15_t)0xc09a,
+ (q15_t)0x3731, (q15_t)0xc09c, (q15_t)0x3725, (q15_t)0xc09e, (q15_t)0x3718, (q15_t)0xc09f, (q15_t)0x370c, (q15_t)0xc0a1,
+ (q15_t)0x36ff, (q15_t)0xc0a3, (q15_t)0x36f3, (q15_t)0xc0a5, (q15_t)0x36e7, (q15_t)0xc0a6, (q15_t)0x36da, (q15_t)0xc0a8,
+ (q15_t)0x36ce, (q15_t)0xc0aa, (q15_t)0x36c1, (q15_t)0xc0ac, (q15_t)0x36b5, (q15_t)0xc0ae, (q15_t)0x36a8, (q15_t)0xc0af,
+ (q15_t)0x369c, (q15_t)0xc0b1, (q15_t)0x3690, (q15_t)0xc0b3, (q15_t)0x3683, (q15_t)0xc0b5, (q15_t)0x3677, (q15_t)0xc0b7,
+ (q15_t)0x366a, (q15_t)0xc0b9, (q15_t)0x365e, (q15_t)0xc0bb, (q15_t)0x3651, (q15_t)0xc0bd, (q15_t)0x3645, (q15_t)0xc0be,
+ (q15_t)0x3639, (q15_t)0xc0c0, (q15_t)0x362c, (q15_t)0xc0c2, (q15_t)0x3620, (q15_t)0xc0c4, (q15_t)0x3613, (q15_t)0xc0c6,
+ (q15_t)0x3607, (q15_t)0xc0c8, (q15_t)0x35fa, (q15_t)0xc0ca, (q15_t)0x35ee, (q15_t)0xc0cc, (q15_t)0x35e2, (q15_t)0xc0ce,
+ (q15_t)0x35d5, (q15_t)0xc0d0, (q15_t)0x35c9, (q15_t)0xc0d2, (q15_t)0x35bc, (q15_t)0xc0d4, (q15_t)0x35b0, (q15_t)0xc0d6,
+ (q15_t)0x35a4, (q15_t)0xc0d8, (q15_t)0x3597, (q15_t)0xc0da, (q15_t)0x358b, (q15_t)0xc0dc, (q15_t)0x357e, (q15_t)0xc0de,
+ (q15_t)0x3572, (q15_t)0xc0e0, (q15_t)0x3566, (q15_t)0xc0e2, (q15_t)0x3559, (q15_t)0xc0e4, (q15_t)0x354d, (q15_t)0xc0e7,
+ (q15_t)0x3540, (q15_t)0xc0e9, (q15_t)0x3534, (q15_t)0xc0eb, (q15_t)0x3528, (q15_t)0xc0ed, (q15_t)0x351b, (q15_t)0xc0ef,
+ (q15_t)0x350f, (q15_t)0xc0f1, (q15_t)0x3503, (q15_t)0xc0f3, (q15_t)0x34f6, (q15_t)0xc0f6, (q15_t)0x34ea, (q15_t)0xc0f8,
+ (q15_t)0x34dd, (q15_t)0xc0fa, (q15_t)0x34d1, (q15_t)0xc0fc, (q15_t)0x34c5, (q15_t)0xc0fe, (q15_t)0x34b8, (q15_t)0xc100,
+ (q15_t)0x34ac, (q15_t)0xc103, (q15_t)0x34a0, (q15_t)0xc105, (q15_t)0x3493, (q15_t)0xc107, (q15_t)0x3487, (q15_t)0xc109,
+ (q15_t)0x347b, (q15_t)0xc10c, (q15_t)0x346e, (q15_t)0xc10e, (q15_t)0x3462, (q15_t)0xc110, (q15_t)0x3455, (q15_t)0xc113,
+ (q15_t)0x3449, (q15_t)0xc115, (q15_t)0x343d, (q15_t)0xc117, (q15_t)0x3430, (q15_t)0xc119, (q15_t)0x3424, (q15_t)0xc11c,
+ (q15_t)0x3418, (q15_t)0xc11e, (q15_t)0x340b, (q15_t)0xc120, (q15_t)0x33ff, (q15_t)0xc123, (q15_t)0x33f3, (q15_t)0xc125,
+ (q15_t)0x33e6, (q15_t)0xc128, (q15_t)0x33da, (q15_t)0xc12a, (q15_t)0x33ce, (q15_t)0xc12c, (q15_t)0x33c1, (q15_t)0xc12f,
+ (q15_t)0x33b5, (q15_t)0xc131, (q15_t)0x33a9, (q15_t)0xc134, (q15_t)0x339c, (q15_t)0xc136, (q15_t)0x3390, (q15_t)0xc138,
+ (q15_t)0x3384, (q15_t)0xc13b, (q15_t)0x3377, (q15_t)0xc13d, (q15_t)0x336b, (q15_t)0xc140, (q15_t)0x335f, (q15_t)0xc142,
+ (q15_t)0x3352, (q15_t)0xc145, (q15_t)0x3346, (q15_t)0xc147, (q15_t)0x333a, (q15_t)0xc14a, (q15_t)0x332d, (q15_t)0xc14c,
+ (q15_t)0x3321, (q15_t)0xc14f, (q15_t)0x3315, (q15_t)0xc151, (q15_t)0x3308, (q15_t)0xc154, (q15_t)0x32fc, (q15_t)0xc156,
+ (q15_t)0x32f0, (q15_t)0xc159, (q15_t)0x32e4, (q15_t)0xc15b, (q15_t)0x32d7, (q15_t)0xc15e, (q15_t)0x32cb, (q15_t)0xc161,
+ (q15_t)0x32bf, (q15_t)0xc163, (q15_t)0x32b2, (q15_t)0xc166, (q15_t)0x32a6, (q15_t)0xc168, (q15_t)0x329a, (q15_t)0xc16b,
+ (q15_t)0x328e, (q15_t)0xc16e, (q15_t)0x3281, (q15_t)0xc170, (q15_t)0x3275, (q15_t)0xc173, (q15_t)0x3269, (q15_t)0xc176,
+ (q15_t)0x325c, (q15_t)0xc178, (q15_t)0x3250, (q15_t)0xc17b, (q15_t)0x3244, (q15_t)0xc17e, (q15_t)0x3238, (q15_t)0xc180,
+ (q15_t)0x322b, (q15_t)0xc183, (q15_t)0x321f, (q15_t)0xc186, (q15_t)0x3213, (q15_t)0xc189, (q15_t)0x3207, (q15_t)0xc18b,
+ (q15_t)0x31fa, (q15_t)0xc18e, (q15_t)0x31ee, (q15_t)0xc191, (q15_t)0x31e2, (q15_t)0xc194, (q15_t)0x31d5, (q15_t)0xc196,
+ (q15_t)0x31c9, (q15_t)0xc199, (q15_t)0x31bd, (q15_t)0xc19c, (q15_t)0x31b1, (q15_t)0xc19f, (q15_t)0x31a4, (q15_t)0xc1a2,
+ (q15_t)0x3198, (q15_t)0xc1a4, (q15_t)0x318c, (q15_t)0xc1a7, (q15_t)0x3180, (q15_t)0xc1aa, (q15_t)0x3174, (q15_t)0xc1ad,
+ (q15_t)0x3167, (q15_t)0xc1b0, (q15_t)0x315b, (q15_t)0xc1b3, (q15_t)0x314f, (q15_t)0xc1b6, (q15_t)0x3143, (q15_t)0xc1b8,
+ (q15_t)0x3136, (q15_t)0xc1bb, (q15_t)0x312a, (q15_t)0xc1be, (q15_t)0x311e, (q15_t)0xc1c1, (q15_t)0x3112, (q15_t)0xc1c4,
+ (q15_t)0x3105, (q15_t)0xc1c7, (q15_t)0x30f9, (q15_t)0xc1ca, (q15_t)0x30ed, (q15_t)0xc1cd, (q15_t)0x30e1, (q15_t)0xc1d0,
+ (q15_t)0x30d5, (q15_t)0xc1d3, (q15_t)0x30c8, (q15_t)0xc1d6, (q15_t)0x30bc, (q15_t)0xc1d9, (q15_t)0x30b0, (q15_t)0xc1dc,
+ (q15_t)0x30a4, (q15_t)0xc1df, (q15_t)0x3098, (q15_t)0xc1e2, (q15_t)0x308b, (q15_t)0xc1e5, (q15_t)0x307f, (q15_t)0xc1e8,
+ (q15_t)0x3073, (q15_t)0xc1eb, (q15_t)0x3067, (q15_t)0xc1ee, (q15_t)0x305b, (q15_t)0xc1f1, (q15_t)0x304e, (q15_t)0xc1f4,
+ (q15_t)0x3042, (q15_t)0xc1f7, (q15_t)0x3036, (q15_t)0xc1fa, (q15_t)0x302a, (q15_t)0xc1fd, (q15_t)0x301e, (q15_t)0xc201,
+ (q15_t)0x3012, (q15_t)0xc204, (q15_t)0x3005, (q15_t)0xc207, (q15_t)0x2ff9, (q15_t)0xc20a, (q15_t)0x2fed, (q15_t)0xc20d,
+ (q15_t)0x2fe1, (q15_t)0xc210, (q15_t)0x2fd5, (q15_t)0xc213, (q15_t)0x2fc9, (q15_t)0xc217, (q15_t)0x2fbc, (q15_t)0xc21a,
+ (q15_t)0x2fb0, (q15_t)0xc21d, (q15_t)0x2fa4, (q15_t)0xc220, (q15_t)0x2f98, (q15_t)0xc223, (q15_t)0x2f8c, (q15_t)0xc227,
+ (q15_t)0x2f80, (q15_t)0xc22a, (q15_t)0x2f74, (q15_t)0xc22d, (q15_t)0x2f67, (q15_t)0xc230, (q15_t)0x2f5b, (q15_t)0xc234,
+ (q15_t)0x2f4f, (q15_t)0xc237, (q15_t)0x2f43, (q15_t)0xc23a, (q15_t)0x2f37, (q15_t)0xc23e, (q15_t)0x2f2b, (q15_t)0xc241,
+ (q15_t)0x2f1f, (q15_t)0xc244, (q15_t)0x2f13, (q15_t)0xc247, (q15_t)0x2f06, (q15_t)0xc24b, (q15_t)0x2efa, (q15_t)0xc24e,
+ (q15_t)0x2eee, (q15_t)0xc251, (q15_t)0x2ee2, (q15_t)0xc255, (q15_t)0x2ed6, (q15_t)0xc258, (q15_t)0x2eca, (q15_t)0xc25c,
+ (q15_t)0x2ebe, (q15_t)0xc25f, (q15_t)0x2eb2, (q15_t)0xc262, (q15_t)0x2ea6, (q15_t)0xc266, (q15_t)0x2e99, (q15_t)0xc269,
+ (q15_t)0x2e8d, (q15_t)0xc26d, (q15_t)0x2e81, (q15_t)0xc270, (q15_t)0x2e75, (q15_t)0xc273, (q15_t)0x2e69, (q15_t)0xc277,
+ (q15_t)0x2e5d, (q15_t)0xc27a, (q15_t)0x2e51, (q15_t)0xc27e, (q15_t)0x2e45, (q15_t)0xc281, (q15_t)0x2e39, (q15_t)0xc285,
+ (q15_t)0x2e2d, (q15_t)0xc288, (q15_t)0x2e21, (q15_t)0xc28c, (q15_t)0x2e15, (q15_t)0xc28f, (q15_t)0x2e09, (q15_t)0xc293,
+ (q15_t)0x2dfc, (q15_t)0xc296, (q15_t)0x2df0, (q15_t)0xc29a, (q15_t)0x2de4, (q15_t)0xc29d, (q15_t)0x2dd8, (q15_t)0xc2a1,
+ (q15_t)0x2dcc, (q15_t)0xc2a5, (q15_t)0x2dc0, (q15_t)0xc2a8, (q15_t)0x2db4, (q15_t)0xc2ac, (q15_t)0x2da8, (q15_t)0xc2af,
+ (q15_t)0x2d9c, (q15_t)0xc2b3, (q15_t)0x2d90, (q15_t)0xc2b7, (q15_t)0x2d84, (q15_t)0xc2ba, (q15_t)0x2d78, (q15_t)0xc2be,
+ (q15_t)0x2d6c, (q15_t)0xc2c1, (q15_t)0x2d60, (q15_t)0xc2c5, (q15_t)0x2d54, (q15_t)0xc2c9, (q15_t)0x2d48, (q15_t)0xc2cc,
+ (q15_t)0x2d3c, (q15_t)0xc2d0, (q15_t)0x2d30, (q15_t)0xc2d4, (q15_t)0x2d24, (q15_t)0xc2d8, (q15_t)0x2d18, (q15_t)0xc2db,
+ (q15_t)0x2d0c, (q15_t)0xc2df, (q15_t)0x2d00, (q15_t)0xc2e3, (q15_t)0x2cf4, (q15_t)0xc2e6, (q15_t)0x2ce8, (q15_t)0xc2ea,
+ (q15_t)0x2cdc, (q15_t)0xc2ee, (q15_t)0x2cd0, (q15_t)0xc2f2, (q15_t)0x2cc4, (q15_t)0xc2f5, (q15_t)0x2cb8, (q15_t)0xc2f9,
+ (q15_t)0x2cac, (q15_t)0xc2fd, (q15_t)0x2ca0, (q15_t)0xc301, (q15_t)0x2c94, (q15_t)0xc305, (q15_t)0x2c88, (q15_t)0xc308,
+ (q15_t)0x2c7c, (q15_t)0xc30c, (q15_t)0x2c70, (q15_t)0xc310, (q15_t)0x2c64, (q15_t)0xc314, (q15_t)0x2c58, (q15_t)0xc318,
+ (q15_t)0x2c4c, (q15_t)0xc31c, (q15_t)0x2c40, (q15_t)0xc320, (q15_t)0x2c34, (q15_t)0xc323, (q15_t)0x2c28, (q15_t)0xc327,
+ (q15_t)0x2c1c, (q15_t)0xc32b, (q15_t)0x2c10, (q15_t)0xc32f, (q15_t)0x2c05, (q15_t)0xc333, (q15_t)0x2bf9, (q15_t)0xc337,
+ (q15_t)0x2bed, (q15_t)0xc33b, (q15_t)0x2be1, (q15_t)0xc33f, (q15_t)0x2bd5, (q15_t)0xc343, (q15_t)0x2bc9, (q15_t)0xc347,
+ (q15_t)0x2bbd, (q15_t)0xc34b, (q15_t)0x2bb1, (q15_t)0xc34f, (q15_t)0x2ba5, (q15_t)0xc353, (q15_t)0x2b99, (q15_t)0xc357,
+ (q15_t)0x2b8d, (q15_t)0xc35b, (q15_t)0x2b81, (q15_t)0xc35f, (q15_t)0x2b75, (q15_t)0xc363, (q15_t)0x2b6a, (q15_t)0xc367,
+ (q15_t)0x2b5e, (q15_t)0xc36b, (q15_t)0x2b52, (q15_t)0xc36f, (q15_t)0x2b46, (q15_t)0xc373, (q15_t)0x2b3a, (q15_t)0xc377,
+ (q15_t)0x2b2e, (q15_t)0xc37b, (q15_t)0x2b22, (q15_t)0xc37f, (q15_t)0x2b16, (q15_t)0xc383, (q15_t)0x2b0a, (q15_t)0xc387,
+ (q15_t)0x2aff, (q15_t)0xc38c, (q15_t)0x2af3, (q15_t)0xc390, (q15_t)0x2ae7, (q15_t)0xc394, (q15_t)0x2adb, (q15_t)0xc398,
+ (q15_t)0x2acf, (q15_t)0xc39c, (q15_t)0x2ac3, (q15_t)0xc3a0, (q15_t)0x2ab7, (q15_t)0xc3a5, (q15_t)0x2aac, (q15_t)0xc3a9,
+ (q15_t)0x2aa0, (q15_t)0xc3ad, (q15_t)0x2a94, (q15_t)0xc3b1, (q15_t)0x2a88, (q15_t)0xc3b5, (q15_t)0x2a7c, (q15_t)0xc3ba,
+ (q15_t)0x2a70, (q15_t)0xc3be, (q15_t)0x2a65, (q15_t)0xc3c2, (q15_t)0x2a59, (q15_t)0xc3c6, (q15_t)0x2a4d, (q15_t)0xc3ca,
+ (q15_t)0x2a41, (q15_t)0xc3cf, (q15_t)0x2a35, (q15_t)0xc3d3, (q15_t)0x2a29, (q15_t)0xc3d7, (q15_t)0x2a1e, (q15_t)0xc3dc,
+ (q15_t)0x2a12, (q15_t)0xc3e0, (q15_t)0x2a06, (q15_t)0xc3e4, (q15_t)0x29fa, (q15_t)0xc3e9, (q15_t)0x29ee, (q15_t)0xc3ed,
+ (q15_t)0x29e3, (q15_t)0xc3f1, (q15_t)0x29d7, (q15_t)0xc3f6, (q15_t)0x29cb, (q15_t)0xc3fa, (q15_t)0x29bf, (q15_t)0xc3fe,
+ (q15_t)0x29b4, (q15_t)0xc403, (q15_t)0x29a8, (q15_t)0xc407, (q15_t)0x299c, (q15_t)0xc40b, (q15_t)0x2990, (q15_t)0xc410,
+ (q15_t)0x2984, (q15_t)0xc414, (q15_t)0x2979, (q15_t)0xc419, (q15_t)0x296d, (q15_t)0xc41d, (q15_t)0x2961, (q15_t)0xc422,
+ (q15_t)0x2955, (q15_t)0xc426, (q15_t)0x294a, (q15_t)0xc42a, (q15_t)0x293e, (q15_t)0xc42f, (q15_t)0x2932, (q15_t)0xc433,
+ (q15_t)0x2926, (q15_t)0xc438, (q15_t)0x291b, (q15_t)0xc43c, (q15_t)0x290f, (q15_t)0xc441, (q15_t)0x2903, (q15_t)0xc445,
+ (q15_t)0x28f7, (q15_t)0xc44a, (q15_t)0x28ec, (q15_t)0xc44e, (q15_t)0x28e0, (q15_t)0xc453, (q15_t)0x28d4, (q15_t)0xc457,
+ (q15_t)0x28c9, (q15_t)0xc45c, (q15_t)0x28bd, (q15_t)0xc461, (q15_t)0x28b1, (q15_t)0xc465, (q15_t)0x28a5, (q15_t)0xc46a,
+ (q15_t)0x289a, (q15_t)0xc46e, (q15_t)0x288e, (q15_t)0xc473, (q15_t)0x2882, (q15_t)0xc478, (q15_t)0x2877, (q15_t)0xc47c,
+ (q15_t)0x286b, (q15_t)0xc481, (q15_t)0x285f, (q15_t)0xc485, (q15_t)0x2854, (q15_t)0xc48a, (q15_t)0x2848, (q15_t)0xc48f,
+ (q15_t)0x283c, (q15_t)0xc493, (q15_t)0x2831, (q15_t)0xc498, (q15_t)0x2825, (q15_t)0xc49d, (q15_t)0x2819, (q15_t)0xc4a1,
+ (q15_t)0x280e, (q15_t)0xc4a6, (q15_t)0x2802, (q15_t)0xc4ab, (q15_t)0x27f6, (q15_t)0xc4b0, (q15_t)0x27eb, (q15_t)0xc4b4,
+ (q15_t)0x27df, (q15_t)0xc4b9, (q15_t)0x27d3, (q15_t)0xc4be, (q15_t)0x27c8, (q15_t)0xc4c2, (q15_t)0x27bc, (q15_t)0xc4c7,
+ (q15_t)0x27b1, (q15_t)0xc4cc, (q15_t)0x27a5, (q15_t)0xc4d1, (q15_t)0x2799, (q15_t)0xc4d6, (q15_t)0x278e, (q15_t)0xc4da,
+ (q15_t)0x2782, (q15_t)0xc4df, (q15_t)0x2777, (q15_t)0xc4e4, (q15_t)0x276b, (q15_t)0xc4e9, (q15_t)0x275f, (q15_t)0xc4ee,
+ (q15_t)0x2754, (q15_t)0xc4f2, (q15_t)0x2748, (q15_t)0xc4f7, (q15_t)0x273d, (q15_t)0xc4fc, (q15_t)0x2731, (q15_t)0xc501,
+ (q15_t)0x2725, (q15_t)0xc506, (q15_t)0x271a, (q15_t)0xc50b, (q15_t)0x270e, (q15_t)0xc510, (q15_t)0x2703, (q15_t)0xc515,
+ (q15_t)0x26f7, (q15_t)0xc51a, (q15_t)0x26ec, (q15_t)0xc51e, (q15_t)0x26e0, (q15_t)0xc523, (q15_t)0x26d4, (q15_t)0xc528,
+ (q15_t)0x26c9, (q15_t)0xc52d, (q15_t)0x26bd, (q15_t)0xc532, (q15_t)0x26b2, (q15_t)0xc537, (q15_t)0x26a6, (q15_t)0xc53c,
+ (q15_t)0x269b, (q15_t)0xc541, (q15_t)0x268f, (q15_t)0xc546, (q15_t)0x2684, (q15_t)0xc54b, (q15_t)0x2678, (q15_t)0xc550,
+ (q15_t)0x266d, (q15_t)0xc555, (q15_t)0x2661, (q15_t)0xc55a, (q15_t)0x2656, (q15_t)0xc55f, (q15_t)0x264a, (q15_t)0xc564,
+ (q15_t)0x263f, (q15_t)0xc569, (q15_t)0x2633, (q15_t)0xc56e, (q15_t)0x2628, (q15_t)0xc573, (q15_t)0x261c, (q15_t)0xc578,
+ (q15_t)0x2611, (q15_t)0xc57e, (q15_t)0x2605, (q15_t)0xc583, (q15_t)0x25fa, (q15_t)0xc588, (q15_t)0x25ee, (q15_t)0xc58d,
+ (q15_t)0x25e3, (q15_t)0xc592, (q15_t)0x25d7, (q15_t)0xc597, (q15_t)0x25cc, (q15_t)0xc59c, (q15_t)0x25c0, (q15_t)0xc5a1,
+ (q15_t)0x25b5, (q15_t)0xc5a7, (q15_t)0x25a9, (q15_t)0xc5ac, (q15_t)0x259e, (q15_t)0xc5b1, (q15_t)0x2592, (q15_t)0xc5b6,
+ (q15_t)0x2587, (q15_t)0xc5bb, (q15_t)0x257c, (q15_t)0xc5c1, (q15_t)0x2570, (q15_t)0xc5c6, (q15_t)0x2565, (q15_t)0xc5cb,
+ (q15_t)0x2559, (q15_t)0xc5d0, (q15_t)0x254e, (q15_t)0xc5d5, (q15_t)0x2542, (q15_t)0xc5db, (q15_t)0x2537, (q15_t)0xc5e0,
+ (q15_t)0x252c, (q15_t)0xc5e5, (q15_t)0x2520, (q15_t)0xc5ea, (q15_t)0x2515, (q15_t)0xc5f0, (q15_t)0x2509, (q15_t)0xc5f5,
+ (q15_t)0x24fe, (q15_t)0xc5fa, (q15_t)0x24f3, (q15_t)0xc600, (q15_t)0x24e7, (q15_t)0xc605, (q15_t)0x24dc, (q15_t)0xc60a,
+ (q15_t)0x24d0, (q15_t)0xc610, (q15_t)0x24c5, (q15_t)0xc615, (q15_t)0x24ba, (q15_t)0xc61a, (q15_t)0x24ae, (q15_t)0xc620,
+ (q15_t)0x24a3, (q15_t)0xc625, (q15_t)0x2498, (q15_t)0xc62a, (q15_t)0x248c, (q15_t)0xc630, (q15_t)0x2481, (q15_t)0xc635,
+ (q15_t)0x2476, (q15_t)0xc63b, (q15_t)0x246a, (q15_t)0xc640, (q15_t)0x245f, (q15_t)0xc645, (q15_t)0x2454, (q15_t)0xc64b,
+ (q15_t)0x2448, (q15_t)0xc650, (q15_t)0x243d, (q15_t)0xc656, (q15_t)0x2432, (q15_t)0xc65b, (q15_t)0x2426, (q15_t)0xc661,
+ (q15_t)0x241b, (q15_t)0xc666, (q15_t)0x2410, (q15_t)0xc66c, (q15_t)0x2404, (q15_t)0xc671, (q15_t)0x23f9, (q15_t)0xc677,
+ (q15_t)0x23ee, (q15_t)0xc67c, (q15_t)0x23e2, (q15_t)0xc682, (q15_t)0x23d7, (q15_t)0xc687, (q15_t)0x23cc, (q15_t)0xc68d,
+ (q15_t)0x23c1, (q15_t)0xc692, (q15_t)0x23b5, (q15_t)0xc698, (q15_t)0x23aa, (q15_t)0xc69d, (q15_t)0x239f, (q15_t)0xc6a3,
+ (q15_t)0x2394, (q15_t)0xc6a8, (q15_t)0x2388, (q15_t)0xc6ae, (q15_t)0x237d, (q15_t)0xc6b4, (q15_t)0x2372, (q15_t)0xc6b9,
+ (q15_t)0x2367, (q15_t)0xc6bf, (q15_t)0x235b, (q15_t)0xc6c5, (q15_t)0x2350, (q15_t)0xc6ca, (q15_t)0x2345, (q15_t)0xc6d0,
+ (q15_t)0x233a, (q15_t)0xc6d5, (q15_t)0x232e, (q15_t)0xc6db, (q15_t)0x2323, (q15_t)0xc6e1, (q15_t)0x2318, (q15_t)0xc6e6,
+ (q15_t)0x230d, (q15_t)0xc6ec, (q15_t)0x2301, (q15_t)0xc6f2, (q15_t)0x22f6, (q15_t)0xc6f7, (q15_t)0x22eb, (q15_t)0xc6fd,
+ (q15_t)0x22e0, (q15_t)0xc703, (q15_t)0x22d5, (q15_t)0xc709, (q15_t)0x22ca, (q15_t)0xc70e, (q15_t)0x22be, (q15_t)0xc714,
+ (q15_t)0x22b3, (q15_t)0xc71a, (q15_t)0x22a8, (q15_t)0xc720, (q15_t)0x229d, (q15_t)0xc725, (q15_t)0x2292, (q15_t)0xc72b,
+ (q15_t)0x2287, (q15_t)0xc731, (q15_t)0x227b, (q15_t)0xc737, (q15_t)0x2270, (q15_t)0xc73d, (q15_t)0x2265, (q15_t)0xc742,
+ (q15_t)0x225a, (q15_t)0xc748, (q15_t)0x224f, (q15_t)0xc74e, (q15_t)0x2244, (q15_t)0xc754, (q15_t)0x2239, (q15_t)0xc75a,
+ (q15_t)0x222d, (q15_t)0xc75f, (q15_t)0x2222, (q15_t)0xc765, (q15_t)0x2217, (q15_t)0xc76b, (q15_t)0x220c, (q15_t)0xc771,
+ (q15_t)0x2201, (q15_t)0xc777, (q15_t)0x21f6, (q15_t)0xc77d, (q15_t)0x21eb, (q15_t)0xc783, (q15_t)0x21e0, (q15_t)0xc789,
+ (q15_t)0x21d5, (q15_t)0xc78f, (q15_t)0x21ca, (q15_t)0xc795, (q15_t)0x21be, (q15_t)0xc79a, (q15_t)0x21b3, (q15_t)0xc7a0,
+ (q15_t)0x21a8, (q15_t)0xc7a6, (q15_t)0x219d, (q15_t)0xc7ac, (q15_t)0x2192, (q15_t)0xc7b2, (q15_t)0x2187, (q15_t)0xc7b8,
+ (q15_t)0x217c, (q15_t)0xc7be, (q15_t)0x2171, (q15_t)0xc7c4, (q15_t)0x2166, (q15_t)0xc7ca, (q15_t)0x215b, (q15_t)0xc7d0,
+ (q15_t)0x2150, (q15_t)0xc7d6, (q15_t)0x2145, (q15_t)0xc7dc, (q15_t)0x213a, (q15_t)0xc7e2, (q15_t)0x212f, (q15_t)0xc7e8,
+ (q15_t)0x2124, (q15_t)0xc7ee, (q15_t)0x2119, (q15_t)0xc7f5, (q15_t)0x210e, (q15_t)0xc7fb, (q15_t)0x2103, (q15_t)0xc801,
+ (q15_t)0x20f8, (q15_t)0xc807, (q15_t)0x20ed, (q15_t)0xc80d, (q15_t)0x20e2, (q15_t)0xc813, (q15_t)0x20d7, (q15_t)0xc819,
+ (q15_t)0x20cc, (q15_t)0xc81f, (q15_t)0x20c1, (q15_t)0xc825, (q15_t)0x20b6, (q15_t)0xc82b, (q15_t)0x20ab, (q15_t)0xc832,
+ (q15_t)0x20a0, (q15_t)0xc838, (q15_t)0x2095, (q15_t)0xc83e, (q15_t)0x208a, (q15_t)0xc844, (q15_t)0x207f, (q15_t)0xc84a,
+ (q15_t)0x2074, (q15_t)0xc850, (q15_t)0x2069, (q15_t)0xc857, (q15_t)0x205e, (q15_t)0xc85d, (q15_t)0x2054, (q15_t)0xc863,
+ (q15_t)0x2049, (q15_t)0xc869, (q15_t)0x203e, (q15_t)0xc870, (q15_t)0x2033, (q15_t)0xc876, (q15_t)0x2028, (q15_t)0xc87c,
+ (q15_t)0x201d, (q15_t)0xc882, (q15_t)0x2012, (q15_t)0xc889, (q15_t)0x2007, (q15_t)0xc88f, (q15_t)0x1ffc, (q15_t)0xc895,
+ (q15_t)0x1ff1, (q15_t)0xc89b, (q15_t)0x1fe7, (q15_t)0xc8a2, (q15_t)0x1fdc, (q15_t)0xc8a8, (q15_t)0x1fd1, (q15_t)0xc8ae,
+ (q15_t)0x1fc6, (q15_t)0xc8b5, (q15_t)0x1fbb, (q15_t)0xc8bb, (q15_t)0x1fb0, (q15_t)0xc8c1, (q15_t)0x1fa5, (q15_t)0xc8c8,
+ (q15_t)0x1f9b, (q15_t)0xc8ce, (q15_t)0x1f90, (q15_t)0xc8d4, (q15_t)0x1f85, (q15_t)0xc8db, (q15_t)0x1f7a, (q15_t)0xc8e1,
+ (q15_t)0x1f6f, (q15_t)0xc8e8, (q15_t)0x1f65, (q15_t)0xc8ee, (q15_t)0x1f5a, (q15_t)0xc8f4, (q15_t)0x1f4f, (q15_t)0xc8fb,
+ (q15_t)0x1f44, (q15_t)0xc901, (q15_t)0x1f39, (q15_t)0xc908, (q15_t)0x1f2f, (q15_t)0xc90e, (q15_t)0x1f24, (q15_t)0xc915,
+ (q15_t)0x1f19, (q15_t)0xc91b, (q15_t)0x1f0e, (q15_t)0xc921, (q15_t)0x1f03, (q15_t)0xc928, (q15_t)0x1ef9, (q15_t)0xc92e,
+ (q15_t)0x1eee, (q15_t)0xc935, (q15_t)0x1ee3, (q15_t)0xc93b, (q15_t)0x1ed8, (q15_t)0xc942, (q15_t)0x1ece, (q15_t)0xc948,
+ (q15_t)0x1ec3, (q15_t)0xc94f, (q15_t)0x1eb8, (q15_t)0xc955, (q15_t)0x1ead, (q15_t)0xc95c, (q15_t)0x1ea3, (q15_t)0xc963,
+ (q15_t)0x1e98, (q15_t)0xc969, (q15_t)0x1e8d, (q15_t)0xc970, (q15_t)0x1e83, (q15_t)0xc976, (q15_t)0x1e78, (q15_t)0xc97d,
+ (q15_t)0x1e6d, (q15_t)0xc983, (q15_t)0x1e62, (q15_t)0xc98a, (q15_t)0x1e58, (q15_t)0xc991, (q15_t)0x1e4d, (q15_t)0xc997,
+ (q15_t)0x1e42, (q15_t)0xc99e, (q15_t)0x1e38, (q15_t)0xc9a4, (q15_t)0x1e2d, (q15_t)0xc9ab, (q15_t)0x1e22, (q15_t)0xc9b2,
+ (q15_t)0x1e18, (q15_t)0xc9b8, (q15_t)0x1e0d, (q15_t)0xc9bf, (q15_t)0x1e02, (q15_t)0xc9c6, (q15_t)0x1df8, (q15_t)0xc9cc,
+ (q15_t)0x1ded, (q15_t)0xc9d3, (q15_t)0x1de2, (q15_t)0xc9da, (q15_t)0x1dd8, (q15_t)0xc9e0, (q15_t)0x1dcd, (q15_t)0xc9e7,
+ (q15_t)0x1dc3, (q15_t)0xc9ee, (q15_t)0x1db8, (q15_t)0xc9f5, (q15_t)0x1dad, (q15_t)0xc9fb, (q15_t)0x1da3, (q15_t)0xca02,
+ (q15_t)0x1d98, (q15_t)0xca09, (q15_t)0x1d8e, (q15_t)0xca10, (q15_t)0x1d83, (q15_t)0xca16, (q15_t)0x1d78, (q15_t)0xca1d,
+ (q15_t)0x1d6e, (q15_t)0xca24, (q15_t)0x1d63, (q15_t)0xca2b, (q15_t)0x1d59, (q15_t)0xca32, (q15_t)0x1d4e, (q15_t)0xca38,
+ (q15_t)0x1d44, (q15_t)0xca3f, (q15_t)0x1d39, (q15_t)0xca46, (q15_t)0x1d2e, (q15_t)0xca4d, (q15_t)0x1d24, (q15_t)0xca54,
+ (q15_t)0x1d19, (q15_t)0xca5b, (q15_t)0x1d0f, (q15_t)0xca61, (q15_t)0x1d04, (q15_t)0xca68, (q15_t)0x1cfa, (q15_t)0xca6f,
+ (q15_t)0x1cef, (q15_t)0xca76, (q15_t)0x1ce5, (q15_t)0xca7d, (q15_t)0x1cda, (q15_t)0xca84, (q15_t)0x1cd0, (q15_t)0xca8b,
+ (q15_t)0x1cc5, (q15_t)0xca92, (q15_t)0x1cbb, (q15_t)0xca99, (q15_t)0x1cb0, (q15_t)0xca9f, (q15_t)0x1ca6, (q15_t)0xcaa6,
+ (q15_t)0x1c9b, (q15_t)0xcaad, (q15_t)0x1c91, (q15_t)0xcab4, (q15_t)0x1c86, (q15_t)0xcabb, (q15_t)0x1c7c, (q15_t)0xcac2,
+ (q15_t)0x1c72, (q15_t)0xcac9, (q15_t)0x1c67, (q15_t)0xcad0, (q15_t)0x1c5d, (q15_t)0xcad7, (q15_t)0x1c52, (q15_t)0xcade,
+ (q15_t)0x1c48, (q15_t)0xcae5, (q15_t)0x1c3d, (q15_t)0xcaec, (q15_t)0x1c33, (q15_t)0xcaf3, (q15_t)0x1c29, (q15_t)0xcafa,
+ (q15_t)0x1c1e, (q15_t)0xcb01, (q15_t)0x1c14, (q15_t)0xcb08, (q15_t)0x1c09, (q15_t)0xcb0f, (q15_t)0x1bff, (q15_t)0xcb16,
+ (q15_t)0x1bf5, (q15_t)0xcb1e, (q15_t)0x1bea, (q15_t)0xcb25, (q15_t)0x1be0, (q15_t)0xcb2c, (q15_t)0x1bd5, (q15_t)0xcb33,
+ (q15_t)0x1bcb, (q15_t)0xcb3a, (q15_t)0x1bc1, (q15_t)0xcb41, (q15_t)0x1bb6, (q15_t)0xcb48, (q15_t)0x1bac, (q15_t)0xcb4f,
+ (q15_t)0x1ba2, (q15_t)0xcb56, (q15_t)0x1b97, (q15_t)0xcb5e, (q15_t)0x1b8d, (q15_t)0xcb65, (q15_t)0x1b83, (q15_t)0xcb6c,
+ (q15_t)0x1b78, (q15_t)0xcb73, (q15_t)0x1b6e, (q15_t)0xcb7a, (q15_t)0x1b64, (q15_t)0xcb81, (q15_t)0x1b59, (q15_t)0xcb89,
+ (q15_t)0x1b4f, (q15_t)0xcb90, (q15_t)0x1b45, (q15_t)0xcb97, (q15_t)0x1b3b, (q15_t)0xcb9e, (q15_t)0x1b30, (q15_t)0xcba5,
+ (q15_t)0x1b26, (q15_t)0xcbad, (q15_t)0x1b1c, (q15_t)0xcbb4, (q15_t)0x1b11, (q15_t)0xcbbb, (q15_t)0x1b07, (q15_t)0xcbc2,
+ (q15_t)0x1afd, (q15_t)0xcbca, (q15_t)0x1af3, (q15_t)0xcbd1, (q15_t)0x1ae8, (q15_t)0xcbd8, (q15_t)0x1ade, (q15_t)0xcbe0,
+ (q15_t)0x1ad4, (q15_t)0xcbe7, (q15_t)0x1aca, (q15_t)0xcbee, (q15_t)0x1abf, (q15_t)0xcbf5, (q15_t)0x1ab5, (q15_t)0xcbfd,
+ (q15_t)0x1aab, (q15_t)0xcc04, (q15_t)0x1aa1, (q15_t)0xcc0b, (q15_t)0x1a97, (q15_t)0xcc13, (q15_t)0x1a8c, (q15_t)0xcc1a,
+ (q15_t)0x1a82, (q15_t)0xcc21, (q15_t)0x1a78, (q15_t)0xcc29, (q15_t)0x1a6e, (q15_t)0xcc30, (q15_t)0x1a64, (q15_t)0xcc38,
+ (q15_t)0x1a5a, (q15_t)0xcc3f, (q15_t)0x1a4f, (q15_t)0xcc46, (q15_t)0x1a45, (q15_t)0xcc4e, (q15_t)0x1a3b, (q15_t)0xcc55,
+ (q15_t)0x1a31, (q15_t)0xcc5d, (q15_t)0x1a27, (q15_t)0xcc64, (q15_t)0x1a1d, (q15_t)0xcc6b, (q15_t)0x1a13, (q15_t)0xcc73,
+ (q15_t)0x1a08, (q15_t)0xcc7a, (q15_t)0x19fe, (q15_t)0xcc82, (q15_t)0x19f4, (q15_t)0xcc89, (q15_t)0x19ea, (q15_t)0xcc91,
+ (q15_t)0x19e0, (q15_t)0xcc98, (q15_t)0x19d6, (q15_t)0xcca0, (q15_t)0x19cc, (q15_t)0xcca7, (q15_t)0x19c2, (q15_t)0xccaf,
+ (q15_t)0x19b8, (q15_t)0xccb6, (q15_t)0x19ae, (q15_t)0xccbe, (q15_t)0x19a4, (q15_t)0xccc5, (q15_t)0x199a, (q15_t)0xcccd,
+ (q15_t)0x198f, (q15_t)0xccd4, (q15_t)0x1985, (q15_t)0xccdc, (q15_t)0x197b, (q15_t)0xcce3, (q15_t)0x1971, (q15_t)0xcceb,
+ (q15_t)0x1967, (q15_t)0xccf3, (q15_t)0x195d, (q15_t)0xccfa, (q15_t)0x1953, (q15_t)0xcd02, (q15_t)0x1949, (q15_t)0xcd09,
+ (q15_t)0x193f, (q15_t)0xcd11, (q15_t)0x1935, (q15_t)0xcd19, (q15_t)0x192b, (q15_t)0xcd20, (q15_t)0x1921, (q15_t)0xcd28,
+ (q15_t)0x1917, (q15_t)0xcd30, (q15_t)0x190d, (q15_t)0xcd37, (q15_t)0x1903, (q15_t)0xcd3f, (q15_t)0x18f9, (q15_t)0xcd46,
+ (q15_t)0x18ef, (q15_t)0xcd4e, (q15_t)0x18e6, (q15_t)0xcd56, (q15_t)0x18dc, (q15_t)0xcd5d, (q15_t)0x18d2, (q15_t)0xcd65,
+ (q15_t)0x18c8, (q15_t)0xcd6d, (q15_t)0x18be, (q15_t)0xcd75, (q15_t)0x18b4, (q15_t)0xcd7c, (q15_t)0x18aa, (q15_t)0xcd84,
+ (q15_t)0x18a0, (q15_t)0xcd8c, (q15_t)0x1896, (q15_t)0xcd93, (q15_t)0x188c, (q15_t)0xcd9b, (q15_t)0x1882, (q15_t)0xcda3,
+ (q15_t)0x1878, (q15_t)0xcdab, (q15_t)0x186f, (q15_t)0xcdb2, (q15_t)0x1865, (q15_t)0xcdba, (q15_t)0x185b, (q15_t)0xcdc2,
+ (q15_t)0x1851, (q15_t)0xcdca, (q15_t)0x1847, (q15_t)0xcdd2, (q15_t)0x183d, (q15_t)0xcdd9, (q15_t)0x1833, (q15_t)0xcde1,
+ (q15_t)0x182a, (q15_t)0xcde9, (q15_t)0x1820, (q15_t)0xcdf1, (q15_t)0x1816, (q15_t)0xcdf9, (q15_t)0x180c, (q15_t)0xce01,
+ (q15_t)0x1802, (q15_t)0xce08, (q15_t)0x17f8, (q15_t)0xce10, (q15_t)0x17ef, (q15_t)0xce18, (q15_t)0x17e5, (q15_t)0xce20,
+ (q15_t)0x17db, (q15_t)0xce28, (q15_t)0x17d1, (q15_t)0xce30, (q15_t)0x17c8, (q15_t)0xce38, (q15_t)0x17be, (q15_t)0xce40,
+ (q15_t)0x17b4, (q15_t)0xce47, (q15_t)0x17aa, (q15_t)0xce4f, (q15_t)0x17a0, (q15_t)0xce57, (q15_t)0x1797, (q15_t)0xce5f,
+ (q15_t)0x178d, (q15_t)0xce67, (q15_t)0x1783, (q15_t)0xce6f, (q15_t)0x177a, (q15_t)0xce77, (q15_t)0x1770, (q15_t)0xce7f,
+ (q15_t)0x1766, (q15_t)0xce87, (q15_t)0x175c, (q15_t)0xce8f, (q15_t)0x1753, (q15_t)0xce97, (q15_t)0x1749, (q15_t)0xce9f,
+ (q15_t)0x173f, (q15_t)0xcea7, (q15_t)0x1736, (q15_t)0xceaf, (q15_t)0x172c, (q15_t)0xceb7, (q15_t)0x1722, (q15_t)0xcebf,
+ (q15_t)0x1719, (q15_t)0xcec7, (q15_t)0x170f, (q15_t)0xcecf, (q15_t)0x1705, (q15_t)0xced7, (q15_t)0x16fc, (q15_t)0xcedf,
+ (q15_t)0x16f2, (q15_t)0xcee7, (q15_t)0x16e8, (q15_t)0xceef, (q15_t)0x16df, (q15_t)0xcef7, (q15_t)0x16d5, (q15_t)0xceff,
+ (q15_t)0x16cb, (q15_t)0xcf07, (q15_t)0x16c2, (q15_t)0xcf10, (q15_t)0x16b8, (q15_t)0xcf18, (q15_t)0x16af, (q15_t)0xcf20,
+ (q15_t)0x16a5, (q15_t)0xcf28, (q15_t)0x169b, (q15_t)0xcf30, (q15_t)0x1692, (q15_t)0xcf38, (q15_t)0x1688, (q15_t)0xcf40,
+ (q15_t)0x167f, (q15_t)0xcf48, (q15_t)0x1675, (q15_t)0xcf51, (q15_t)0x166c, (q15_t)0xcf59, (q15_t)0x1662, (q15_t)0xcf61,
+ (q15_t)0x1659, (q15_t)0xcf69, (q15_t)0x164f, (q15_t)0xcf71, (q15_t)0x1645, (q15_t)0xcf79, (q15_t)0x163c, (q15_t)0xcf82,
+ (q15_t)0x1632, (q15_t)0xcf8a, (q15_t)0x1629, (q15_t)0xcf92, (q15_t)0x161f, (q15_t)0xcf9a, (q15_t)0x1616, (q15_t)0xcfa3,
+ (q15_t)0x160c, (q15_t)0xcfab, (q15_t)0x1603, (q15_t)0xcfb3, (q15_t)0x15f9, (q15_t)0xcfbb, (q15_t)0x15f0, (q15_t)0xcfc4,
+ (q15_t)0x15e6, (q15_t)0xcfcc, (q15_t)0x15dd, (q15_t)0xcfd4, (q15_t)0x15d4, (q15_t)0xcfdc, (q15_t)0x15ca, (q15_t)0xcfe5,
+ (q15_t)0x15c1, (q15_t)0xcfed, (q15_t)0x15b7, (q15_t)0xcff5, (q15_t)0x15ae, (q15_t)0xcffe, (q15_t)0x15a4, (q15_t)0xd006,
+ (q15_t)0x159b, (q15_t)0xd00e, (q15_t)0x1592, (q15_t)0xd016, (q15_t)0x1588, (q15_t)0xd01f, (q15_t)0x157f, (q15_t)0xd027,
+ (q15_t)0x1575, (q15_t)0xd030, (q15_t)0x156c, (q15_t)0xd038, (q15_t)0x1563, (q15_t)0xd040, (q15_t)0x1559, (q15_t)0xd049,
+ (q15_t)0x1550, (q15_t)0xd051, (q15_t)0x1547, (q15_t)0xd059, (q15_t)0x153d, (q15_t)0xd062, (q15_t)0x1534, (q15_t)0xd06a,
+ (q15_t)0x152a, (q15_t)0xd073, (q15_t)0x1521, (q15_t)0xd07b, (q15_t)0x1518, (q15_t)0xd083, (q15_t)0x150e, (q15_t)0xd08c,
+ (q15_t)0x1505, (q15_t)0xd094, (q15_t)0x14fc, (q15_t)0xd09d, (q15_t)0x14f3, (q15_t)0xd0a5, (q15_t)0x14e9, (q15_t)0xd0ae,
+ (q15_t)0x14e0, (q15_t)0xd0b6, (q15_t)0x14d7, (q15_t)0xd0bf, (q15_t)0x14cd, (q15_t)0xd0c7, (q15_t)0x14c4, (q15_t)0xd0d0,
+ (q15_t)0x14bb, (q15_t)0xd0d8, (q15_t)0x14b2, (q15_t)0xd0e0, (q15_t)0x14a8, (q15_t)0xd0e9, (q15_t)0x149f, (q15_t)0xd0f2,
+ (q15_t)0x1496, (q15_t)0xd0fa, (q15_t)0x148d, (q15_t)0xd103, (q15_t)0x1483, (q15_t)0xd10b, (q15_t)0x147a, (q15_t)0xd114,
+ (q15_t)0x1471, (q15_t)0xd11c, (q15_t)0x1468, (q15_t)0xd125, (q15_t)0x145f, (q15_t)0xd12d, (q15_t)0x1455, (q15_t)0xd136,
+ (q15_t)0x144c, (q15_t)0xd13e, (q15_t)0x1443, (q15_t)0xd147, (q15_t)0x143a, (q15_t)0xd150, (q15_t)0x1431, (q15_t)0xd158,
+ (q15_t)0x1428, (q15_t)0xd161, (q15_t)0x141e, (q15_t)0xd169, (q15_t)0x1415, (q15_t)0xd172, (q15_t)0x140c, (q15_t)0xd17b,
+ (q15_t)0x1403, (q15_t)0xd183, (q15_t)0x13fa, (q15_t)0xd18c, (q15_t)0x13f1, (q15_t)0xd195, (q15_t)0x13e8, (q15_t)0xd19d,
+ (q15_t)0x13df, (q15_t)0xd1a6, (q15_t)0x13d5, (q15_t)0xd1af, (q15_t)0x13cc, (q15_t)0xd1b7, (q15_t)0x13c3, (q15_t)0xd1c0,
+ (q15_t)0x13ba, (q15_t)0xd1c9, (q15_t)0x13b1, (q15_t)0xd1d1, (q15_t)0x13a8, (q15_t)0xd1da, (q15_t)0x139f, (q15_t)0xd1e3,
+ (q15_t)0x1396, (q15_t)0xd1eb, (q15_t)0x138d, (q15_t)0xd1f4, (q15_t)0x1384, (q15_t)0xd1fd, (q15_t)0x137b, (q15_t)0xd206,
+ (q15_t)0x1372, (q15_t)0xd20e, (q15_t)0x1369, (q15_t)0xd217, (q15_t)0x1360, (q15_t)0xd220, (q15_t)0x1357, (q15_t)0xd229,
+ (q15_t)0x134e, (q15_t)0xd231, (q15_t)0x1345, (q15_t)0xd23a, (q15_t)0x133c, (q15_t)0xd243, (q15_t)0x1333, (q15_t)0xd24c,
+ (q15_t)0x132a, (q15_t)0xd255, (q15_t)0x1321, (q15_t)0xd25d, (q15_t)0x1318, (q15_t)0xd266, (q15_t)0x130f, (q15_t)0xd26f,
+ (q15_t)0x1306, (q15_t)0xd278, (q15_t)0x12fd, (q15_t)0xd281, (q15_t)0x12f4, (q15_t)0xd28a, (q15_t)0x12eb, (q15_t)0xd292,
+ (q15_t)0x12e2, (q15_t)0xd29b, (q15_t)0x12d9, (q15_t)0xd2a4, (q15_t)0x12d1, (q15_t)0xd2ad, (q15_t)0x12c8, (q15_t)0xd2b6,
+ (q15_t)0x12bf, (q15_t)0xd2bf, (q15_t)0x12b6, (q15_t)0xd2c8, (q15_t)0x12ad, (q15_t)0xd2d1, (q15_t)0x12a4, (q15_t)0xd2d9,
+ (q15_t)0x129b, (q15_t)0xd2e2, (q15_t)0x1292, (q15_t)0xd2eb, (q15_t)0x128a, (q15_t)0xd2f4, (q15_t)0x1281, (q15_t)0xd2fd,
+ (q15_t)0x1278, (q15_t)0xd306, (q15_t)0x126f, (q15_t)0xd30f, (q15_t)0x1266, (q15_t)0xd318, (q15_t)0x125d, (q15_t)0xd321,
+ (q15_t)0x1255, (q15_t)0xd32a, (q15_t)0x124c, (q15_t)0xd333, (q15_t)0x1243, (q15_t)0xd33c, (q15_t)0x123a, (q15_t)0xd345,
+ (q15_t)0x1231, (q15_t)0xd34e, (q15_t)0x1229, (q15_t)0xd357, (q15_t)0x1220, (q15_t)0xd360, (q15_t)0x1217, (q15_t)0xd369,
+ (q15_t)0x120e, (q15_t)0xd372, (q15_t)0x1206, (q15_t)0xd37b, (q15_t)0x11fd, (q15_t)0xd384, (q15_t)0x11f4, (q15_t)0xd38d,
+ (q15_t)0x11eb, (q15_t)0xd396, (q15_t)0x11e3, (q15_t)0xd39f, (q15_t)0x11da, (q15_t)0xd3a8, (q15_t)0x11d1, (q15_t)0xd3b1,
+ (q15_t)0x11c9, (q15_t)0xd3ba, (q15_t)0x11c0, (q15_t)0xd3c3, (q15_t)0x11b7, (q15_t)0xd3cc, (q15_t)0x11af, (q15_t)0xd3d5,
+ (q15_t)0x11a6, (q15_t)0xd3df, (q15_t)0x119d, (q15_t)0xd3e8, (q15_t)0x1195, (q15_t)0xd3f1, (q15_t)0x118c, (q15_t)0xd3fa,
+ (q15_t)0x1183, (q15_t)0xd403, (q15_t)0x117b, (q15_t)0xd40c, (q15_t)0x1172, (q15_t)0xd415, (q15_t)0x1169, (q15_t)0xd41e,
+ (q15_t)0x1161, (q15_t)0xd428, (q15_t)0x1158, (q15_t)0xd431, (q15_t)0x1150, (q15_t)0xd43a, (q15_t)0x1147, (q15_t)0xd443,
+ (q15_t)0x113e, (q15_t)0xd44c, (q15_t)0x1136, (q15_t)0xd455, (q15_t)0x112d, (q15_t)0xd45f, (q15_t)0x1125, (q15_t)0xd468,
+ (q15_t)0x111c, (q15_t)0xd471, (q15_t)0x1114, (q15_t)0xd47a, (q15_t)0x110b, (q15_t)0xd483, (q15_t)0x1103, (q15_t)0xd48d,
+ (q15_t)0x10fa, (q15_t)0xd496, (q15_t)0x10f2, (q15_t)0xd49f, (q15_t)0x10e9, (q15_t)0xd4a8, (q15_t)0x10e0, (q15_t)0xd4b2,
+ (q15_t)0x10d8, (q15_t)0xd4bb, (q15_t)0x10d0, (q15_t)0xd4c4, (q15_t)0x10c7, (q15_t)0xd4cd, (q15_t)0x10bf, (q15_t)0xd4d7,
+ (q15_t)0x10b6, (q15_t)0xd4e0, (q15_t)0x10ae, (q15_t)0xd4e9, (q15_t)0x10a5, (q15_t)0xd4f3, (q15_t)0x109d, (q15_t)0xd4fc,
+ (q15_t)0x1094, (q15_t)0xd505, (q15_t)0x108c, (q15_t)0xd50e, (q15_t)0x1083, (q15_t)0xd518, (q15_t)0x107b, (q15_t)0xd521,
+ (q15_t)0x1073, (q15_t)0xd52a, (q15_t)0x106a, (q15_t)0xd534, (q15_t)0x1062, (q15_t)0xd53d, (q15_t)0x1059, (q15_t)0xd547,
+ (q15_t)0x1051, (q15_t)0xd550, (q15_t)0x1049, (q15_t)0xd559, (q15_t)0x1040, (q15_t)0xd563, (q15_t)0x1038, (q15_t)0xd56c,
+ (q15_t)0x1030, (q15_t)0xd575, (q15_t)0x1027, (q15_t)0xd57f, (q15_t)0x101f, (q15_t)0xd588, (q15_t)0x1016, (q15_t)0xd592,
+ (q15_t)0x100e, (q15_t)0xd59b, (q15_t)0x1006, (q15_t)0xd5a4, (q15_t)0xffe, (q15_t)0xd5ae, (q15_t)0xff5, (q15_t)0xd5b7,
+ (q15_t)0xfed, (q15_t)0xd5c1, (q15_t)0xfe5, (q15_t)0xd5ca, (q15_t)0xfdc, (q15_t)0xd5d4, (q15_t)0xfd4, (q15_t)0xd5dd,
+ (q15_t)0xfcc, (q15_t)0xd5e6, (q15_t)0xfc4, (q15_t)0xd5f0, (q15_t)0xfbb, (q15_t)0xd5f9, (q15_t)0xfb3, (q15_t)0xd603,
+ (q15_t)0xfab, (q15_t)0xd60c, (q15_t)0xfa3, (q15_t)0xd616, (q15_t)0xf9a, (q15_t)0xd61f, (q15_t)0xf92, (q15_t)0xd629,
+ (q15_t)0xf8a, (q15_t)0xd632, (q15_t)0xf82, (q15_t)0xd63c, (q15_t)0xf79, (q15_t)0xd645, (q15_t)0xf71, (q15_t)0xd64f,
+ (q15_t)0xf69, (q15_t)0xd659, (q15_t)0xf61, (q15_t)0xd662, (q15_t)0xf59, (q15_t)0xd66c, (q15_t)0xf51, (q15_t)0xd675,
+ (q15_t)0xf48, (q15_t)0xd67f, (q15_t)0xf40, (q15_t)0xd688, (q15_t)0xf38, (q15_t)0xd692, (q15_t)0xf30, (q15_t)0xd69b,
+ (q15_t)0xf28, (q15_t)0xd6a5, (q15_t)0xf20, (q15_t)0xd6af, (q15_t)0xf18, (q15_t)0xd6b8, (q15_t)0xf10, (q15_t)0xd6c2,
+ (q15_t)0xf07, (q15_t)0xd6cb, (q15_t)0xeff, (q15_t)0xd6d5, (q15_t)0xef7, (q15_t)0xd6df, (q15_t)0xeef, (q15_t)0xd6e8,
+ (q15_t)0xee7, (q15_t)0xd6f2, (q15_t)0xedf, (q15_t)0xd6fc, (q15_t)0xed7, (q15_t)0xd705, (q15_t)0xecf, (q15_t)0xd70f,
+ (q15_t)0xec7, (q15_t)0xd719, (q15_t)0xebf, (q15_t)0xd722, (q15_t)0xeb7, (q15_t)0xd72c, (q15_t)0xeaf, (q15_t)0xd736,
+ (q15_t)0xea7, (q15_t)0xd73f, (q15_t)0xe9f, (q15_t)0xd749, (q15_t)0xe97, (q15_t)0xd753, (q15_t)0xe8f, (q15_t)0xd75c,
+ (q15_t)0xe87, (q15_t)0xd766, (q15_t)0xe7f, (q15_t)0xd770, (q15_t)0xe77, (q15_t)0xd77a, (q15_t)0xe6f, (q15_t)0xd783,
+ (q15_t)0xe67, (q15_t)0xd78d, (q15_t)0xe5f, (q15_t)0xd797, (q15_t)0xe57, (q15_t)0xd7a0, (q15_t)0xe4f, (q15_t)0xd7aa,
+ (q15_t)0xe47, (q15_t)0xd7b4, (q15_t)0xe40, (q15_t)0xd7be, (q15_t)0xe38, (q15_t)0xd7c8, (q15_t)0xe30, (q15_t)0xd7d1,
+ (q15_t)0xe28, (q15_t)0xd7db, (q15_t)0xe20, (q15_t)0xd7e5, (q15_t)0xe18, (q15_t)0xd7ef, (q15_t)0xe10, (q15_t)0xd7f8,
+ (q15_t)0xe08, (q15_t)0xd802, (q15_t)0xe01, (q15_t)0xd80c, (q15_t)0xdf9, (q15_t)0xd816, (q15_t)0xdf1, (q15_t)0xd820,
+ (q15_t)0xde9, (q15_t)0xd82a, (q15_t)0xde1, (q15_t)0xd833, (q15_t)0xdd9, (q15_t)0xd83d, (q15_t)0xdd2, (q15_t)0xd847,
+ (q15_t)0xdca, (q15_t)0xd851, (q15_t)0xdc2, (q15_t)0xd85b, (q15_t)0xdba, (q15_t)0xd865, (q15_t)0xdb2, (q15_t)0xd86f,
+ (q15_t)0xdab, (q15_t)0xd878, (q15_t)0xda3, (q15_t)0xd882, (q15_t)0xd9b, (q15_t)0xd88c, (q15_t)0xd93, (q15_t)0xd896,
+ (q15_t)0xd8c, (q15_t)0xd8a0, (q15_t)0xd84, (q15_t)0xd8aa, (q15_t)0xd7c, (q15_t)0xd8b4, (q15_t)0xd75, (q15_t)0xd8be,
+ (q15_t)0xd6d, (q15_t)0xd8c8, (q15_t)0xd65, (q15_t)0xd8d2, (q15_t)0xd5d, (q15_t)0xd8dc, (q15_t)0xd56, (q15_t)0xd8e6,
+ (q15_t)0xd4e, (q15_t)0xd8ef, (q15_t)0xd46, (q15_t)0xd8f9, (q15_t)0xd3f, (q15_t)0xd903, (q15_t)0xd37, (q15_t)0xd90d,
+ (q15_t)0xd30, (q15_t)0xd917, (q15_t)0xd28, (q15_t)0xd921, (q15_t)0xd20, (q15_t)0xd92b, (q15_t)0xd19, (q15_t)0xd935,
+ (q15_t)0xd11, (q15_t)0xd93f, (q15_t)0xd09, (q15_t)0xd949, (q15_t)0xd02, (q15_t)0xd953, (q15_t)0xcfa, (q15_t)0xd95d,
+ (q15_t)0xcf3, (q15_t)0xd967, (q15_t)0xceb, (q15_t)0xd971, (q15_t)0xce3, (q15_t)0xd97b, (q15_t)0xcdc, (q15_t)0xd985,
+ (q15_t)0xcd4, (q15_t)0xd98f, (q15_t)0xccd, (q15_t)0xd99a, (q15_t)0xcc5, (q15_t)0xd9a4, (q15_t)0xcbe, (q15_t)0xd9ae,
+ (q15_t)0xcb6, (q15_t)0xd9b8, (q15_t)0xcaf, (q15_t)0xd9c2, (q15_t)0xca7, (q15_t)0xd9cc, (q15_t)0xca0, (q15_t)0xd9d6,
+ (q15_t)0xc98, (q15_t)0xd9e0, (q15_t)0xc91, (q15_t)0xd9ea, (q15_t)0xc89, (q15_t)0xd9f4, (q15_t)0xc82, (q15_t)0xd9fe,
+ (q15_t)0xc7a, (q15_t)0xda08, (q15_t)0xc73, (q15_t)0xda13, (q15_t)0xc6b, (q15_t)0xda1d, (q15_t)0xc64, (q15_t)0xda27,
+ (q15_t)0xc5d, (q15_t)0xda31, (q15_t)0xc55, (q15_t)0xda3b, (q15_t)0xc4e, (q15_t)0xda45, (q15_t)0xc46, (q15_t)0xda4f,
+ (q15_t)0xc3f, (q15_t)0xda5a, (q15_t)0xc38, (q15_t)0xda64, (q15_t)0xc30, (q15_t)0xda6e, (q15_t)0xc29, (q15_t)0xda78,
+ (q15_t)0xc21, (q15_t)0xda82, (q15_t)0xc1a, (q15_t)0xda8c, (q15_t)0xc13, (q15_t)0xda97, (q15_t)0xc0b, (q15_t)0xdaa1,
+ (q15_t)0xc04, (q15_t)0xdaab, (q15_t)0xbfd, (q15_t)0xdab5, (q15_t)0xbf5, (q15_t)0xdabf, (q15_t)0xbee, (q15_t)0xdaca,
+ (q15_t)0xbe7, (q15_t)0xdad4, (q15_t)0xbe0, (q15_t)0xdade, (q15_t)0xbd8, (q15_t)0xdae8, (q15_t)0xbd1, (q15_t)0xdaf3,
+ (q15_t)0xbca, (q15_t)0xdafd, (q15_t)0xbc2, (q15_t)0xdb07, (q15_t)0xbbb, (q15_t)0xdb11, (q15_t)0xbb4, (q15_t)0xdb1c,
+ (q15_t)0xbad, (q15_t)0xdb26, (q15_t)0xba5, (q15_t)0xdb30, (q15_t)0xb9e, (q15_t)0xdb3b, (q15_t)0xb97, (q15_t)0xdb45,
+ (q15_t)0xb90, (q15_t)0xdb4f, (q15_t)0xb89, (q15_t)0xdb59, (q15_t)0xb81, (q15_t)0xdb64, (q15_t)0xb7a, (q15_t)0xdb6e,
+ (q15_t)0xb73, (q15_t)0xdb78, (q15_t)0xb6c, (q15_t)0xdb83, (q15_t)0xb65, (q15_t)0xdb8d, (q15_t)0xb5e, (q15_t)0xdb97,
+ (q15_t)0xb56, (q15_t)0xdba2, (q15_t)0xb4f, (q15_t)0xdbac, (q15_t)0xb48, (q15_t)0xdbb6, (q15_t)0xb41, (q15_t)0xdbc1,
+ (q15_t)0xb3a, (q15_t)0xdbcb, (q15_t)0xb33, (q15_t)0xdbd5, (q15_t)0xb2c, (q15_t)0xdbe0, (q15_t)0xb25, (q15_t)0xdbea,
+ (q15_t)0xb1e, (q15_t)0xdbf5, (q15_t)0xb16, (q15_t)0xdbff, (q15_t)0xb0f, (q15_t)0xdc09, (q15_t)0xb08, (q15_t)0xdc14,
+ (q15_t)0xb01, (q15_t)0xdc1e, (q15_t)0xafa, (q15_t)0xdc29, (q15_t)0xaf3, (q15_t)0xdc33, (q15_t)0xaec, (q15_t)0xdc3d,
+ (q15_t)0xae5, (q15_t)0xdc48, (q15_t)0xade, (q15_t)0xdc52, (q15_t)0xad7, (q15_t)0xdc5d, (q15_t)0xad0, (q15_t)0xdc67,
+ (q15_t)0xac9, (q15_t)0xdc72, (q15_t)0xac2, (q15_t)0xdc7c, (q15_t)0xabb, (q15_t)0xdc86, (q15_t)0xab4, (q15_t)0xdc91,
+ (q15_t)0xaad, (q15_t)0xdc9b, (q15_t)0xaa6, (q15_t)0xdca6, (q15_t)0xa9f, (q15_t)0xdcb0, (q15_t)0xa99, (q15_t)0xdcbb,
+ (q15_t)0xa92, (q15_t)0xdcc5, (q15_t)0xa8b, (q15_t)0xdcd0, (q15_t)0xa84, (q15_t)0xdcda, (q15_t)0xa7d, (q15_t)0xdce5,
+ (q15_t)0xa76, (q15_t)0xdcef, (q15_t)0xa6f, (q15_t)0xdcfa, (q15_t)0xa68, (q15_t)0xdd04, (q15_t)0xa61, (q15_t)0xdd0f,
+ (q15_t)0xa5b, (q15_t)0xdd19, (q15_t)0xa54, (q15_t)0xdd24, (q15_t)0xa4d, (q15_t)0xdd2e, (q15_t)0xa46, (q15_t)0xdd39,
+ (q15_t)0xa3f, (q15_t)0xdd44, (q15_t)0xa38, (q15_t)0xdd4e, (q15_t)0xa32, (q15_t)0xdd59, (q15_t)0xa2b, (q15_t)0xdd63,
+ (q15_t)0xa24, (q15_t)0xdd6e, (q15_t)0xa1d, (q15_t)0xdd78, (q15_t)0xa16, (q15_t)0xdd83, (q15_t)0xa10, (q15_t)0xdd8e,
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+ (q15_t)0x2, (q15_t)0xff05, (q15_t)0x2, (q15_t)0xff11, (q15_t)0x2, (q15_t)0xff1e, (q15_t)0x1, (q15_t)0xff2a,
+ (q15_t)0x1, (q15_t)0xff37, (q15_t)0x1, (q15_t)0xff44, (q15_t)0x1, (q15_t)0xff50, (q15_t)0x1, (q15_t)0xff5d,
+ (q15_t)0x1, (q15_t)0xff69, (q15_t)0x1, (q15_t)0xff76, (q15_t)0x0, (q15_t)0xff82, (q15_t)0x0, (q15_t)0xff8f,
+ (q15_t)0x0, (q15_t)0xff9b, (q15_t)0x0, (q15_t)0xffa8, (q15_t)0x0, (q15_t)0xffb5, (q15_t)0x0, (q15_t)0xffc1,
+ (q15_t)0x0, (q15_t)0xffce, (q15_t)0x0, (q15_t)0xffda, (q15_t)0x0, (q15_t)0xffe7, (q15_t)0x0, (q15_t)0xfff3,
+ (q15_t)0x0, (q15_t)0x0, (q15_t)0x0, (q15_t)0xd, (q15_t)0x0, (q15_t)0x19, (q15_t)0x0, (q15_t)0x26,
+ (q15_t)0x0, (q15_t)0x32, (q15_t)0x0, (q15_t)0x3f, (q15_t)0x0, (q15_t)0x4b, (q15_t)0x0, (q15_t)0x58,
+ (q15_t)0x0, (q15_t)0x65, (q15_t)0x0, (q15_t)0x71, (q15_t)0x0, (q15_t)0x7e, (q15_t)0x1, (q15_t)0x8a,
+ (q15_t)0x1, (q15_t)0x97, (q15_t)0x1, (q15_t)0xa3, (q15_t)0x1, (q15_t)0xb0, (q15_t)0x1, (q15_t)0xbc,
+ (q15_t)0x1, (q15_t)0xc9, (q15_t)0x1, (q15_t)0xd6, (q15_t)0x2, (q15_t)0xe2, (q15_t)0x2, (q15_t)0xef,
+ (q15_t)0x2, (q15_t)0xfb, (q15_t)0x2, (q15_t)0x108, (q15_t)0x2, (q15_t)0x114, (q15_t)0x3, (q15_t)0x121,
+ (q15_t)0x3, (q15_t)0x12e, (q15_t)0x3, (q15_t)0x13a, (q15_t)0x3, (q15_t)0x147, (q15_t)0x4, (q15_t)0x153,
+ (q15_t)0x4, (q15_t)0x160, (q15_t)0x4, (q15_t)0x16c, (q15_t)0x4, (q15_t)0x179, (q15_t)0x5, (q15_t)0x186,
+ (q15_t)0x5, (q15_t)0x192, (q15_t)0x5, (q15_t)0x19f, (q15_t)0x6, (q15_t)0x1ab, (q15_t)0x6, (q15_t)0x1b8,
+ (q15_t)0x6, (q15_t)0x1c4, (q15_t)0x7, (q15_t)0x1d1, (q15_t)0x7, (q15_t)0x1dd, (q15_t)0x7, (q15_t)0x1ea,
+ (q15_t)0x8, (q15_t)0x1f7, (q15_t)0x8, (q15_t)0x203, (q15_t)0x9, (q15_t)0x210, (q15_t)0x9, (q15_t)0x21c,
+ (q15_t)0x9, (q15_t)0x229, (q15_t)0xa, (q15_t)0x235, (q15_t)0xa, (q15_t)0x242, (q15_t)0xb, (q15_t)0x24e,
+ (q15_t)0xb, (q15_t)0x25b, (q15_t)0xc, (q15_t)0x268, (q15_t)0xc, (q15_t)0x274, (q15_t)0xd, (q15_t)0x281,
+ (q15_t)0xd, (q15_t)0x28d, (q15_t)0xe, (q15_t)0x29a, (q15_t)0xe, (q15_t)0x2a6, (q15_t)0xf, (q15_t)0x2b3,
+ (q15_t)0xf, (q15_t)0x2c0, (q15_t)0x10, (q15_t)0x2cc, (q15_t)0x10, (q15_t)0x2d9, (q15_t)0x11, (q15_t)0x2e5,
+ (q15_t)0x11, (q15_t)0x2f2, (q15_t)0x12, (q15_t)0x2fe, (q15_t)0x13, (q15_t)0x30b, (q15_t)0x13, (q15_t)0x317,
+ (q15_t)0x14, (q15_t)0x324, (q15_t)0x14, (q15_t)0x330, (q15_t)0x15, (q15_t)0x33d, (q15_t)0x16, (q15_t)0x34a,
+ (q15_t)0x16, (q15_t)0x356, (q15_t)0x17, (q15_t)0x363, (q15_t)0x18, (q15_t)0x36f, (q15_t)0x18, (q15_t)0x37c,
+ (q15_t)0x19, (q15_t)0x388, (q15_t)0x1a, (q15_t)0x395, (q15_t)0x1a, (q15_t)0x3a1, (q15_t)0x1b, (q15_t)0x3ae,
+ (q15_t)0x1c, (q15_t)0x3bb, (q15_t)0x1d, (q15_t)0x3c7, (q15_t)0x1d, (q15_t)0x3d4, (q15_t)0x1e, (q15_t)0x3e0,
+ (q15_t)0x1f, (q15_t)0x3ed, (q15_t)0x20, (q15_t)0x3f9, (q15_t)0x20, (q15_t)0x406, (q15_t)0x21, (q15_t)0x412,
+ (q15_t)0x22, (q15_t)0x41f, (q15_t)0x23, (q15_t)0x42b, (q15_t)0x24, (q15_t)0x438, (q15_t)0x24, (q15_t)0x444,
+ (q15_t)0x25, (q15_t)0x451, (q15_t)0x26, (q15_t)0x45e, (q15_t)0x27, (q15_t)0x46a, (q15_t)0x28, (q15_t)0x477,
+ (q15_t)0x29, (q15_t)0x483, (q15_t)0x2a, (q15_t)0x490, (q15_t)0x2b, (q15_t)0x49c, (q15_t)0x2b, (q15_t)0x4a9,
+ (q15_t)0x2c, (q15_t)0x4b5, (q15_t)0x2d, (q15_t)0x4c2, (q15_t)0x2e, (q15_t)0x4ce, (q15_t)0x2f, (q15_t)0x4db,
+ (q15_t)0x30, (q15_t)0x4e7, (q15_t)0x31, (q15_t)0x4f4, (q15_t)0x32, (q15_t)0x500, (q15_t)0x33, (q15_t)0x50d,
+ (q15_t)0x34, (q15_t)0x51a, (q15_t)0x35, (q15_t)0x526, (q15_t)0x36, (q15_t)0x533, (q15_t)0x37, (q15_t)0x53f,
+ (q15_t)0x38, (q15_t)0x54c, (q15_t)0x39, (q15_t)0x558, (q15_t)0x3a, (q15_t)0x565, (q15_t)0x3b, (q15_t)0x571,
+ (q15_t)0x3c, (q15_t)0x57e, (q15_t)0x3d, (q15_t)0x58a, (q15_t)0x3f, (q15_t)0x597, (q15_t)0x40, (q15_t)0x5a3,
+ (q15_t)0x41, (q15_t)0x5b0, (q15_t)0x42, (q15_t)0x5bc, (q15_t)0x43, (q15_t)0x5c9, (q15_t)0x44, (q15_t)0x5d5,
+ (q15_t)0x45, (q15_t)0x5e2, (q15_t)0x47, (q15_t)0x5ee, (q15_t)0x48, (q15_t)0x5fb, (q15_t)0x49, (q15_t)0x607,
+ (q15_t)0x4a, (q15_t)0x614, (q15_t)0x4b, (q15_t)0x620, (q15_t)0x4c, (q15_t)0x62d, (q15_t)0x4e, (q15_t)0x639,
+ (q15_t)0x4f, (q15_t)0x646, (q15_t)0x50, (q15_t)0x652, (q15_t)0x51, (q15_t)0x65f, (q15_t)0x53, (q15_t)0x66b,
+ (q15_t)0x54, (q15_t)0x678, (q15_t)0x55, (q15_t)0x684, (q15_t)0x56, (q15_t)0x691, (q15_t)0x58, (q15_t)0x69d,
+ (q15_t)0x59, (q15_t)0x6aa, (q15_t)0x5a, (q15_t)0x6b6, (q15_t)0x5c, (q15_t)0x6c3, (q15_t)0x5d, (q15_t)0x6cf,
+ (q15_t)0x5e, (q15_t)0x6dc, (q15_t)0x60, (q15_t)0x6e8, (q15_t)0x61, (q15_t)0x6f5, (q15_t)0x62, (q15_t)0x701,
+ (q15_t)0x64, (q15_t)0x70e, (q15_t)0x65, (q15_t)0x71a, (q15_t)0x67, (q15_t)0x727, (q15_t)0x68, (q15_t)0x733,
+ (q15_t)0x69, (q15_t)0x740, (q15_t)0x6b, (q15_t)0x74c, (q15_t)0x6c, (q15_t)0x759, (q15_t)0x6e, (q15_t)0x765,
+ (q15_t)0x6f, (q15_t)0x772, (q15_t)0x71, (q15_t)0x77e, (q15_t)0x72, (q15_t)0x78b, (q15_t)0x74, (q15_t)0x797,
+ (q15_t)0x75, (q15_t)0x7a4, (q15_t)0x77, (q15_t)0x7b0, (q15_t)0x78, (q15_t)0x7bd, (q15_t)0x7a, (q15_t)0x7c9,
+ (q15_t)0x7b, (q15_t)0x7d6, (q15_t)0x7d, (q15_t)0x7e2, (q15_t)0x7e, (q15_t)0x7ef, (q15_t)0x80, (q15_t)0x7fb,
+ (q15_t)0x81, (q15_t)0x807, (q15_t)0x83, (q15_t)0x814, (q15_t)0x85, (q15_t)0x820, (q15_t)0x86, (q15_t)0x82d,
+ (q15_t)0x88, (q15_t)0x839, (q15_t)0x89, (q15_t)0x846, (q15_t)0x8b, (q15_t)0x852, (q15_t)0x8d, (q15_t)0x85f,
+ (q15_t)0x8e, (q15_t)0x86b, (q15_t)0x90, (q15_t)0x878, (q15_t)0x92, (q15_t)0x884, (q15_t)0x93, (q15_t)0x891,
+ (q15_t)0x95, (q15_t)0x89d, (q15_t)0x97, (q15_t)0x8a9, (q15_t)0x98, (q15_t)0x8b6, (q15_t)0x9a, (q15_t)0x8c2,
+ (q15_t)0x9c, (q15_t)0x8cf, (q15_t)0x9e, (q15_t)0x8db, (q15_t)0x9f, (q15_t)0x8e8, (q15_t)0xa1, (q15_t)0x8f4,
+ (q15_t)0xa3, (q15_t)0x901, (q15_t)0xa5, (q15_t)0x90d, (q15_t)0xa6, (q15_t)0x919, (q15_t)0xa8, (q15_t)0x926,
+ (q15_t)0xaa, (q15_t)0x932, (q15_t)0xac, (q15_t)0x93f, (q15_t)0xae, (q15_t)0x94b, (q15_t)0xaf, (q15_t)0x958,
+ (q15_t)0xb1, (q15_t)0x964, (q15_t)0xb3, (q15_t)0x970, (q15_t)0xb5, (q15_t)0x97d, (q15_t)0xb7, (q15_t)0x989,
+ (q15_t)0xb9, (q15_t)0x996, (q15_t)0xbb, (q15_t)0x9a2, (q15_t)0xbd, (q15_t)0x9af, (q15_t)0xbe, (q15_t)0x9bb,
+ (q15_t)0xc0, (q15_t)0x9c7, (q15_t)0xc2, (q15_t)0x9d4, (q15_t)0xc4, (q15_t)0x9e0, (q15_t)0xc6, (q15_t)0x9ed,
+ (q15_t)0xc8, (q15_t)0x9f9, (q15_t)0xca, (q15_t)0xa06, (q15_t)0xcc, (q15_t)0xa12, (q15_t)0xce, (q15_t)0xa1e,
+ (q15_t)0xd0, (q15_t)0xa2b, (q15_t)0xd2, (q15_t)0xa37, (q15_t)0xd4, (q15_t)0xa44, (q15_t)0xd6, (q15_t)0xa50,
+ (q15_t)0xd8, (q15_t)0xa5c, (q15_t)0xda, (q15_t)0xa69, (q15_t)0xdc, (q15_t)0xa75, (q15_t)0xde, (q15_t)0xa82,
+ (q15_t)0xe0, (q15_t)0xa8e, (q15_t)0xe2, (q15_t)0xa9a, (q15_t)0xe4, (q15_t)0xaa7, (q15_t)0xe7, (q15_t)0xab3,
+ (q15_t)0xe9, (q15_t)0xac0, (q15_t)0xeb, (q15_t)0xacc, (q15_t)0xed, (q15_t)0xad8, (q15_t)0xef, (q15_t)0xae5,
+ (q15_t)0xf1, (q15_t)0xaf1, (q15_t)0xf3, (q15_t)0xafd, (q15_t)0xf6, (q15_t)0xb0a, (q15_t)0xf8, (q15_t)0xb16,
+ (q15_t)0xfa, (q15_t)0xb23, (q15_t)0xfc, (q15_t)0xb2f, (q15_t)0xfe, (q15_t)0xb3b, (q15_t)0x100, (q15_t)0xb48,
+ (q15_t)0x103, (q15_t)0xb54, (q15_t)0x105, (q15_t)0xb60, (q15_t)0x107, (q15_t)0xb6d, (q15_t)0x109, (q15_t)0xb79,
+ (q15_t)0x10c, (q15_t)0xb85, (q15_t)0x10e, (q15_t)0xb92, (q15_t)0x110, (q15_t)0xb9e, (q15_t)0x113, (q15_t)0xbab,
+ (q15_t)0x115, (q15_t)0xbb7, (q15_t)0x117, (q15_t)0xbc3, (q15_t)0x119, (q15_t)0xbd0, (q15_t)0x11c, (q15_t)0xbdc,
+ (q15_t)0x11e, (q15_t)0xbe8, (q15_t)0x120, (q15_t)0xbf5, (q15_t)0x123, (q15_t)0xc01, (q15_t)0x125, (q15_t)0xc0d,
+ (q15_t)0x128, (q15_t)0xc1a, (q15_t)0x12a, (q15_t)0xc26, (q15_t)0x12c, (q15_t)0xc32, (q15_t)0x12f, (q15_t)0xc3f,
+ (q15_t)0x131, (q15_t)0xc4b, (q15_t)0x134, (q15_t)0xc57, (q15_t)0x136, (q15_t)0xc64, (q15_t)0x138, (q15_t)0xc70,
+ (q15_t)0x13b, (q15_t)0xc7c, (q15_t)0x13d, (q15_t)0xc89, (q15_t)0x140, (q15_t)0xc95, (q15_t)0x142, (q15_t)0xca1,
+ (q15_t)0x145, (q15_t)0xcae, (q15_t)0x147, (q15_t)0xcba, (q15_t)0x14a, (q15_t)0xcc6, (q15_t)0x14c, (q15_t)0xcd3,
+ (q15_t)0x14f, (q15_t)0xcdf, (q15_t)0x151, (q15_t)0xceb, (q15_t)0x154, (q15_t)0xcf8, (q15_t)0x156, (q15_t)0xd04,
+ (q15_t)0x159, (q15_t)0xd10, (q15_t)0x15b, (q15_t)0xd1c, (q15_t)0x15e, (q15_t)0xd29, (q15_t)0x161, (q15_t)0xd35,
+ (q15_t)0x163, (q15_t)0xd41, (q15_t)0x166, (q15_t)0xd4e, (q15_t)0x168, (q15_t)0xd5a, (q15_t)0x16b, (q15_t)0xd66,
+ (q15_t)0x16e, (q15_t)0xd72, (q15_t)0x170, (q15_t)0xd7f, (q15_t)0x173, (q15_t)0xd8b, (q15_t)0x176, (q15_t)0xd97,
+ (q15_t)0x178, (q15_t)0xda4, (q15_t)0x17b, (q15_t)0xdb0, (q15_t)0x17e, (q15_t)0xdbc, (q15_t)0x180, (q15_t)0xdc8,
+ (q15_t)0x183, (q15_t)0xdd5, (q15_t)0x186, (q15_t)0xde1, (q15_t)0x189, (q15_t)0xded, (q15_t)0x18b, (q15_t)0xdf9,
+ (q15_t)0x18e, (q15_t)0xe06, (q15_t)0x191, (q15_t)0xe12, (q15_t)0x194, (q15_t)0xe1e, (q15_t)0x196, (q15_t)0xe2b,
+ (q15_t)0x199, (q15_t)0xe37, (q15_t)0x19c, (q15_t)0xe43, (q15_t)0x19f, (q15_t)0xe4f, (q15_t)0x1a2, (q15_t)0xe5c,
+ (q15_t)0x1a4, (q15_t)0xe68, (q15_t)0x1a7, (q15_t)0xe74, (q15_t)0x1aa, (q15_t)0xe80, (q15_t)0x1ad, (q15_t)0xe8c,
+ (q15_t)0x1b0, (q15_t)0xe99, (q15_t)0x1b3, (q15_t)0xea5, (q15_t)0x1b6, (q15_t)0xeb1, (q15_t)0x1b8, (q15_t)0xebd,
+ (q15_t)0x1bb, (q15_t)0xeca, (q15_t)0x1be, (q15_t)0xed6, (q15_t)0x1c1, (q15_t)0xee2, (q15_t)0x1c4, (q15_t)0xeee,
+ (q15_t)0x1c7, (q15_t)0xefb, (q15_t)0x1ca, (q15_t)0xf07, (q15_t)0x1cd, (q15_t)0xf13, (q15_t)0x1d0, (q15_t)0xf1f,
+ (q15_t)0x1d3, (q15_t)0xf2b, (q15_t)0x1d6, (q15_t)0xf38, (q15_t)0x1d9, (q15_t)0xf44, (q15_t)0x1dc, (q15_t)0xf50,
+ (q15_t)0x1df, (q15_t)0xf5c, (q15_t)0x1e2, (q15_t)0xf68, (q15_t)0x1e5, (q15_t)0xf75, (q15_t)0x1e8, (q15_t)0xf81,
+ (q15_t)0x1eb, (q15_t)0xf8d, (q15_t)0x1ee, (q15_t)0xf99, (q15_t)0x1f1, (q15_t)0xfa5, (q15_t)0x1f4, (q15_t)0xfb2,
+ (q15_t)0x1f7, (q15_t)0xfbe, (q15_t)0x1fa, (q15_t)0xfca, (q15_t)0x1fd, (q15_t)0xfd6, (q15_t)0x201, (q15_t)0xfe2,
+ (q15_t)0x204, (q15_t)0xfee, (q15_t)0x207, (q15_t)0xffb, (q15_t)0x20a, (q15_t)0x1007, (q15_t)0x20d, (q15_t)0x1013,
+ (q15_t)0x210, (q15_t)0x101f, (q15_t)0x213, (q15_t)0x102b, (q15_t)0x217, (q15_t)0x1037, (q15_t)0x21a, (q15_t)0x1044,
+ (q15_t)0x21d, (q15_t)0x1050, (q15_t)0x220, (q15_t)0x105c, (q15_t)0x223, (q15_t)0x1068, (q15_t)0x227, (q15_t)0x1074,
+ (q15_t)0x22a, (q15_t)0x1080, (q15_t)0x22d, (q15_t)0x108c, (q15_t)0x230, (q15_t)0x1099, (q15_t)0x234, (q15_t)0x10a5,
+ (q15_t)0x237, (q15_t)0x10b1, (q15_t)0x23a, (q15_t)0x10bd, (q15_t)0x23e, (q15_t)0x10c9, (q15_t)0x241, (q15_t)0x10d5,
+ (q15_t)0x244, (q15_t)0x10e1, (q15_t)0x247, (q15_t)0x10ed, (q15_t)0x24b, (q15_t)0x10fa, (q15_t)0x24e, (q15_t)0x1106,
+ (q15_t)0x251, (q15_t)0x1112, (q15_t)0x255, (q15_t)0x111e, (q15_t)0x258, (q15_t)0x112a, (q15_t)0x25c, (q15_t)0x1136,
+ (q15_t)0x25f, (q15_t)0x1142, (q15_t)0x262, (q15_t)0x114e, (q15_t)0x266, (q15_t)0x115a, (q15_t)0x269, (q15_t)0x1167,
+ (q15_t)0x26d, (q15_t)0x1173, (q15_t)0x270, (q15_t)0x117f, (q15_t)0x273, (q15_t)0x118b, (q15_t)0x277, (q15_t)0x1197,
+ (q15_t)0x27a, (q15_t)0x11a3, (q15_t)0x27e, (q15_t)0x11af, (q15_t)0x281, (q15_t)0x11bb, (q15_t)0x285, (q15_t)0x11c7,
+ (q15_t)0x288, (q15_t)0x11d3, (q15_t)0x28c, (q15_t)0x11df, (q15_t)0x28f, (q15_t)0x11eb, (q15_t)0x293, (q15_t)0x11f7,
+ (q15_t)0x296, (q15_t)0x1204, (q15_t)0x29a, (q15_t)0x1210, (q15_t)0x29d, (q15_t)0x121c, (q15_t)0x2a1, (q15_t)0x1228,
+ (q15_t)0x2a5, (q15_t)0x1234, (q15_t)0x2a8, (q15_t)0x1240, (q15_t)0x2ac, (q15_t)0x124c, (q15_t)0x2af, (q15_t)0x1258,
+ (q15_t)0x2b3, (q15_t)0x1264, (q15_t)0x2b7, (q15_t)0x1270, (q15_t)0x2ba, (q15_t)0x127c, (q15_t)0x2be, (q15_t)0x1288,
+ (q15_t)0x2c1, (q15_t)0x1294, (q15_t)0x2c5, (q15_t)0x12a0, (q15_t)0x2c9, (q15_t)0x12ac, (q15_t)0x2cc, (q15_t)0x12b8,
+ (q15_t)0x2d0, (q15_t)0x12c4, (q15_t)0x2d4, (q15_t)0x12d0, (q15_t)0x2d8, (q15_t)0x12dc, (q15_t)0x2db, (q15_t)0x12e8,
+ (q15_t)0x2df, (q15_t)0x12f4, (q15_t)0x2e3, (q15_t)0x1300, (q15_t)0x2e6, (q15_t)0x130c, (q15_t)0x2ea, (q15_t)0x1318,
+ (q15_t)0x2ee, (q15_t)0x1324, (q15_t)0x2f2, (q15_t)0x1330, (q15_t)0x2f5, (q15_t)0x133c, (q15_t)0x2f9, (q15_t)0x1348,
+ (q15_t)0x2fd, (q15_t)0x1354, (q15_t)0x301, (q15_t)0x1360, (q15_t)0x305, (q15_t)0x136c, (q15_t)0x308, (q15_t)0x1378,
+ (q15_t)0x30c, (q15_t)0x1384, (q15_t)0x310, (q15_t)0x1390, (q15_t)0x314, (q15_t)0x139c, (q15_t)0x318, (q15_t)0x13a8,
+ (q15_t)0x31c, (q15_t)0x13b4, (q15_t)0x320, (q15_t)0x13c0, (q15_t)0x323, (q15_t)0x13cc, (q15_t)0x327, (q15_t)0x13d8,
+ (q15_t)0x32b, (q15_t)0x13e4, (q15_t)0x32f, (q15_t)0x13f0, (q15_t)0x333, (q15_t)0x13fb, (q15_t)0x337, (q15_t)0x1407,
+ (q15_t)0x33b, (q15_t)0x1413, (q15_t)0x33f, (q15_t)0x141f, (q15_t)0x343, (q15_t)0x142b, (q15_t)0x347, (q15_t)0x1437,
+ (q15_t)0x34b, (q15_t)0x1443, (q15_t)0x34f, (q15_t)0x144f, (q15_t)0x353, (q15_t)0x145b, (q15_t)0x357, (q15_t)0x1467,
+ (q15_t)0x35b, (q15_t)0x1473, (q15_t)0x35f, (q15_t)0x147f, (q15_t)0x363, (q15_t)0x148b, (q15_t)0x367, (q15_t)0x1496,
+ (q15_t)0x36b, (q15_t)0x14a2, (q15_t)0x36f, (q15_t)0x14ae, (q15_t)0x373, (q15_t)0x14ba, (q15_t)0x377, (q15_t)0x14c6,
+ (q15_t)0x37b, (q15_t)0x14d2, (q15_t)0x37f, (q15_t)0x14de, (q15_t)0x383, (q15_t)0x14ea, (q15_t)0x387, (q15_t)0x14f6,
+ (q15_t)0x38c, (q15_t)0x1501, (q15_t)0x390, (q15_t)0x150d, (q15_t)0x394, (q15_t)0x1519, (q15_t)0x398, (q15_t)0x1525,
+ (q15_t)0x39c, (q15_t)0x1531, (q15_t)0x3a0, (q15_t)0x153d, (q15_t)0x3a5, (q15_t)0x1549, (q15_t)0x3a9, (q15_t)0x1554,
+ (q15_t)0x3ad, (q15_t)0x1560, (q15_t)0x3b1, (q15_t)0x156c, (q15_t)0x3b5, (q15_t)0x1578, (q15_t)0x3ba, (q15_t)0x1584,
+ (q15_t)0x3be, (q15_t)0x1590, (q15_t)0x3c2, (q15_t)0x159b, (q15_t)0x3c6, (q15_t)0x15a7, (q15_t)0x3ca, (q15_t)0x15b3,
+ (q15_t)0x3cf, (q15_t)0x15bf, (q15_t)0x3d3, (q15_t)0x15cb, (q15_t)0x3d7, (q15_t)0x15d7, (q15_t)0x3dc, (q15_t)0x15e2,
+ (q15_t)0x3e0, (q15_t)0x15ee, (q15_t)0x3e4, (q15_t)0x15fa, (q15_t)0x3e9, (q15_t)0x1606, (q15_t)0x3ed, (q15_t)0x1612,
+ (q15_t)0x3f1, (q15_t)0x161d, (q15_t)0x3f6, (q15_t)0x1629, (q15_t)0x3fa, (q15_t)0x1635, (q15_t)0x3fe, (q15_t)0x1641,
+ (q15_t)0x403, (q15_t)0x164c, (q15_t)0x407, (q15_t)0x1658, (q15_t)0x40b, (q15_t)0x1664, (q15_t)0x410, (q15_t)0x1670,
+ (q15_t)0x414, (q15_t)0x167c, (q15_t)0x419, (q15_t)0x1687, (q15_t)0x41d, (q15_t)0x1693, (q15_t)0x422, (q15_t)0x169f,
+ (q15_t)0x426, (q15_t)0x16ab, (q15_t)0x42a, (q15_t)0x16b6, (q15_t)0x42f, (q15_t)0x16c2, (q15_t)0x433, (q15_t)0x16ce,
+ (q15_t)0x438, (q15_t)0x16da, (q15_t)0x43c, (q15_t)0x16e5, (q15_t)0x441, (q15_t)0x16f1, (q15_t)0x445, (q15_t)0x16fd,
+ (q15_t)0x44a, (q15_t)0x1709, (q15_t)0x44e, (q15_t)0x1714, (q15_t)0x453, (q15_t)0x1720, (q15_t)0x457, (q15_t)0x172c,
+ (q15_t)0x45c, (q15_t)0x1737, (q15_t)0x461, (q15_t)0x1743, (q15_t)0x465, (q15_t)0x174f, (q15_t)0x46a, (q15_t)0x175b,
+ (q15_t)0x46e, (q15_t)0x1766, (q15_t)0x473, (q15_t)0x1772, (q15_t)0x478, (q15_t)0x177e, (q15_t)0x47c, (q15_t)0x1789,
+ (q15_t)0x481, (q15_t)0x1795, (q15_t)0x485, (q15_t)0x17a1, (q15_t)0x48a, (q15_t)0x17ac, (q15_t)0x48f, (q15_t)0x17b8,
+ (q15_t)0x493, (q15_t)0x17c4, (q15_t)0x498, (q15_t)0x17cf, (q15_t)0x49d, (q15_t)0x17db, (q15_t)0x4a1, (q15_t)0x17e7,
+ (q15_t)0x4a6, (q15_t)0x17f2, (q15_t)0x4ab, (q15_t)0x17fe, (q15_t)0x4b0, (q15_t)0x180a, (q15_t)0x4b4, (q15_t)0x1815,
+ (q15_t)0x4b9, (q15_t)0x1821, (q15_t)0x4be, (q15_t)0x182d, (q15_t)0x4c2, (q15_t)0x1838, (q15_t)0x4c7, (q15_t)0x1844,
+ (q15_t)0x4cc, (q15_t)0x184f, (q15_t)0x4d1, (q15_t)0x185b, (q15_t)0x4d6, (q15_t)0x1867, (q15_t)0x4da, (q15_t)0x1872,
+ (q15_t)0x4df, (q15_t)0x187e, (q15_t)0x4e4, (q15_t)0x1889, (q15_t)0x4e9, (q15_t)0x1895, (q15_t)0x4ee, (q15_t)0x18a1,
+ (q15_t)0x4f2, (q15_t)0x18ac, (q15_t)0x4f7, (q15_t)0x18b8, (q15_t)0x4fc, (q15_t)0x18c3, (q15_t)0x501, (q15_t)0x18cf,
+ (q15_t)0x506, (q15_t)0x18db, (q15_t)0x50b, (q15_t)0x18e6, (q15_t)0x510, (q15_t)0x18f2, (q15_t)0x515, (q15_t)0x18fd,
+ (q15_t)0x51a, (q15_t)0x1909, (q15_t)0x51e, (q15_t)0x1914, (q15_t)0x523, (q15_t)0x1920, (q15_t)0x528, (q15_t)0x192c,
+ (q15_t)0x52d, (q15_t)0x1937, (q15_t)0x532, (q15_t)0x1943, (q15_t)0x537, (q15_t)0x194e, (q15_t)0x53c, (q15_t)0x195a,
+ (q15_t)0x541, (q15_t)0x1965, (q15_t)0x546, (q15_t)0x1971, (q15_t)0x54b, (q15_t)0x197c, (q15_t)0x550, (q15_t)0x1988,
+ (q15_t)0x555, (q15_t)0x1993, (q15_t)0x55a, (q15_t)0x199f, (q15_t)0x55f, (q15_t)0x19aa, (q15_t)0x564, (q15_t)0x19b6,
+ (q15_t)0x569, (q15_t)0x19c1, (q15_t)0x56e, (q15_t)0x19cd, (q15_t)0x573, (q15_t)0x19d8, (q15_t)0x578, (q15_t)0x19e4,
+ (q15_t)0x57e, (q15_t)0x19ef, (q15_t)0x583, (q15_t)0x19fb, (q15_t)0x588, (q15_t)0x1a06, (q15_t)0x58d, (q15_t)0x1a12,
+ (q15_t)0x592, (q15_t)0x1a1d, (q15_t)0x597, (q15_t)0x1a29, (q15_t)0x59c, (q15_t)0x1a34, (q15_t)0x5a1, (q15_t)0x1a40,
+ (q15_t)0x5a7, (q15_t)0x1a4b, (q15_t)0x5ac, (q15_t)0x1a57, (q15_t)0x5b1, (q15_t)0x1a62, (q15_t)0x5b6, (q15_t)0x1a6e,
+ (q15_t)0x5bb, (q15_t)0x1a79, (q15_t)0x5c1, (q15_t)0x1a84, (q15_t)0x5c6, (q15_t)0x1a90, (q15_t)0x5cb, (q15_t)0x1a9b,
+ (q15_t)0x5d0, (q15_t)0x1aa7, (q15_t)0x5d5, (q15_t)0x1ab2, (q15_t)0x5db, (q15_t)0x1abe, (q15_t)0x5e0, (q15_t)0x1ac9,
+ (q15_t)0x5e5, (q15_t)0x1ad4, (q15_t)0x5ea, (q15_t)0x1ae0, (q15_t)0x5f0, (q15_t)0x1aeb, (q15_t)0x5f5, (q15_t)0x1af7,
+ (q15_t)0x5fa, (q15_t)0x1b02, (q15_t)0x600, (q15_t)0x1b0d, (q15_t)0x605, (q15_t)0x1b19, (q15_t)0x60a, (q15_t)0x1b24,
+ (q15_t)0x610, (q15_t)0x1b30, (q15_t)0x615, (q15_t)0x1b3b, (q15_t)0x61a, (q15_t)0x1b46, (q15_t)0x620, (q15_t)0x1b52,
+ (q15_t)0x625, (q15_t)0x1b5d, (q15_t)0x62a, (q15_t)0x1b68, (q15_t)0x630, (q15_t)0x1b74, (q15_t)0x635, (q15_t)0x1b7f,
+ (q15_t)0x63b, (q15_t)0x1b8a, (q15_t)0x640, (q15_t)0x1b96, (q15_t)0x645, (q15_t)0x1ba1, (q15_t)0x64b, (q15_t)0x1bac,
+ (q15_t)0x650, (q15_t)0x1bb8, (q15_t)0x656, (q15_t)0x1bc3, (q15_t)0x65b, (q15_t)0x1bce, (q15_t)0x661, (q15_t)0x1bda,
+ (q15_t)0x666, (q15_t)0x1be5, (q15_t)0x66c, (q15_t)0x1bf0, (q15_t)0x671, (q15_t)0x1bfc, (q15_t)0x677, (q15_t)0x1c07,
+ (q15_t)0x67c, (q15_t)0x1c12, (q15_t)0x682, (q15_t)0x1c1e, (q15_t)0x687, (q15_t)0x1c29, (q15_t)0x68d, (q15_t)0x1c34,
+ (q15_t)0x692, (q15_t)0x1c3f, (q15_t)0x698, (q15_t)0x1c4b, (q15_t)0x69d, (q15_t)0x1c56, (q15_t)0x6a3, (q15_t)0x1c61,
+ (q15_t)0x6a8, (q15_t)0x1c6c, (q15_t)0x6ae, (q15_t)0x1c78, (q15_t)0x6b4, (q15_t)0x1c83, (q15_t)0x6b9, (q15_t)0x1c8e,
+ (q15_t)0x6bf, (q15_t)0x1c99, (q15_t)0x6c5, (q15_t)0x1ca5, (q15_t)0x6ca, (q15_t)0x1cb0, (q15_t)0x6d0, (q15_t)0x1cbb,
+ (q15_t)0x6d5, (q15_t)0x1cc6, (q15_t)0x6db, (q15_t)0x1cd2, (q15_t)0x6e1, (q15_t)0x1cdd, (q15_t)0x6e6, (q15_t)0x1ce8,
+ (q15_t)0x6ec, (q15_t)0x1cf3, (q15_t)0x6f2, (q15_t)0x1cff, (q15_t)0x6f7, (q15_t)0x1d0a, (q15_t)0x6fd, (q15_t)0x1d15,
+ (q15_t)0x703, (q15_t)0x1d20, (q15_t)0x709, (q15_t)0x1d2b, (q15_t)0x70e, (q15_t)0x1d36, (q15_t)0x714, (q15_t)0x1d42,
+ (q15_t)0x71a, (q15_t)0x1d4d, (q15_t)0x720, (q15_t)0x1d58, (q15_t)0x725, (q15_t)0x1d63, (q15_t)0x72b, (q15_t)0x1d6e,
+ (q15_t)0x731, (q15_t)0x1d79, (q15_t)0x737, (q15_t)0x1d85, (q15_t)0x73d, (q15_t)0x1d90, (q15_t)0x742, (q15_t)0x1d9b,
+ (q15_t)0x748, (q15_t)0x1da6, (q15_t)0x74e, (q15_t)0x1db1, (q15_t)0x754, (q15_t)0x1dbc, (q15_t)0x75a, (q15_t)0x1dc7,
+ (q15_t)0x75f, (q15_t)0x1dd3, (q15_t)0x765, (q15_t)0x1dde, (q15_t)0x76b, (q15_t)0x1de9, (q15_t)0x771, (q15_t)0x1df4,
+ (q15_t)0x777, (q15_t)0x1dff, (q15_t)0x77d, (q15_t)0x1e0a, (q15_t)0x783, (q15_t)0x1e15, (q15_t)0x789, (q15_t)0x1e20,
+ (q15_t)0x78f, (q15_t)0x1e2b, (q15_t)0x795, (q15_t)0x1e36, (q15_t)0x79a, (q15_t)0x1e42, (q15_t)0x7a0, (q15_t)0x1e4d,
+ (q15_t)0x7a6, (q15_t)0x1e58, (q15_t)0x7ac, (q15_t)0x1e63, (q15_t)0x7b2, (q15_t)0x1e6e, (q15_t)0x7b8, (q15_t)0x1e79,
+ (q15_t)0x7be, (q15_t)0x1e84, (q15_t)0x7c4, (q15_t)0x1e8f, (q15_t)0x7ca, (q15_t)0x1e9a, (q15_t)0x7d0, (q15_t)0x1ea5,
+ (q15_t)0x7d6, (q15_t)0x1eb0, (q15_t)0x7dc, (q15_t)0x1ebb, (q15_t)0x7e2, (q15_t)0x1ec6, (q15_t)0x7e8, (q15_t)0x1ed1,
+ (q15_t)0x7ee, (q15_t)0x1edc, (q15_t)0x7f5, (q15_t)0x1ee7, (q15_t)0x7fb, (q15_t)0x1ef2, (q15_t)0x801, (q15_t)0x1efd,
+ (q15_t)0x807, (q15_t)0x1f08, (q15_t)0x80d, (q15_t)0x1f13, (q15_t)0x813, (q15_t)0x1f1e, (q15_t)0x819, (q15_t)0x1f29,
+ (q15_t)0x81f, (q15_t)0x1f34, (q15_t)0x825, (q15_t)0x1f3f, (q15_t)0x82b, (q15_t)0x1f4a, (q15_t)0x832, (q15_t)0x1f55,
+ (q15_t)0x838, (q15_t)0x1f60, (q15_t)0x83e, (q15_t)0x1f6b, (q15_t)0x844, (q15_t)0x1f76, (q15_t)0x84a, (q15_t)0x1f81,
+ (q15_t)0x850, (q15_t)0x1f8c, (q15_t)0x857, (q15_t)0x1f97, (q15_t)0x85d, (q15_t)0x1fa2, (q15_t)0x863, (q15_t)0x1fac,
+ (q15_t)0x869, (q15_t)0x1fb7, (q15_t)0x870, (q15_t)0x1fc2, (q15_t)0x876, (q15_t)0x1fcd, (q15_t)0x87c, (q15_t)0x1fd8,
+ (q15_t)0x882, (q15_t)0x1fe3, (q15_t)0x889, (q15_t)0x1fee, (q15_t)0x88f, (q15_t)0x1ff9, (q15_t)0x895, (q15_t)0x2004,
+ (q15_t)0x89b, (q15_t)0x200f, (q15_t)0x8a2, (q15_t)0x2019, (q15_t)0x8a8, (q15_t)0x2024, (q15_t)0x8ae, (q15_t)0x202f,
+ (q15_t)0x8b5, (q15_t)0x203a, (q15_t)0x8bb, (q15_t)0x2045, (q15_t)0x8c1, (q15_t)0x2050, (q15_t)0x8c8, (q15_t)0x205b,
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+ (q15_t)0x94f, (q15_t)0x213d, (q15_t)0x955, (q15_t)0x2148, (q15_t)0x95c, (q15_t)0x2153, (q15_t)0x963, (q15_t)0x215d,
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+ (q15_t)0x113e, (q15_t)0x2bb4, (q15_t)0x1147, (q15_t)0x2bbd, (q15_t)0x1150, (q15_t)0x2bc6, (q15_t)0x1158, (q15_t)0x2bcf,
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+ (q15_t)0x1278, (q15_t)0x2cfa, (q15_t)0x1281, (q15_t)0x2d03, (q15_t)0x128a, (q15_t)0x2d0c, (q15_t)0x1292, (q15_t)0x2d15,
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+ (q15_t)0x12e2, (q15_t)0x2d65, (q15_t)0x12eb, (q15_t)0x2d6e, (q15_t)0x12f4, (q15_t)0x2d76, (q15_t)0x12fd, (q15_t)0x2d7f,
+ (q15_t)0x1306, (q15_t)0x2d88, (q15_t)0x130f, (q15_t)0x2d91, (q15_t)0x1318, (q15_t)0x2d9a, (q15_t)0x1321, (q15_t)0x2da3,
+ (q15_t)0x132a, (q15_t)0x2dab, (q15_t)0x1333, (q15_t)0x2db4, (q15_t)0x133c, (q15_t)0x2dbd, (q15_t)0x1345, (q15_t)0x2dc6,
+ (q15_t)0x134e, (q15_t)0x2dcf, (q15_t)0x1357, (q15_t)0x2dd7, (q15_t)0x1360, (q15_t)0x2de0, (q15_t)0x1369, (q15_t)0x2de9,
+ (q15_t)0x1372, (q15_t)0x2df2, (q15_t)0x137b, (q15_t)0x2dfa, (q15_t)0x1384, (q15_t)0x2e03, (q15_t)0x138d, (q15_t)0x2e0c,
+ (q15_t)0x1396, (q15_t)0x2e15, (q15_t)0x139f, (q15_t)0x2e1d, (q15_t)0x13a8, (q15_t)0x2e26, (q15_t)0x13b1, (q15_t)0x2e2f,
+ (q15_t)0x13ba, (q15_t)0x2e37, (q15_t)0x13c3, (q15_t)0x2e40, (q15_t)0x13cc, (q15_t)0x2e49, (q15_t)0x13d5, (q15_t)0x2e51,
+ (q15_t)0x13df, (q15_t)0x2e5a, (q15_t)0x13e8, (q15_t)0x2e63, (q15_t)0x13f1, (q15_t)0x2e6b, (q15_t)0x13fa, (q15_t)0x2e74,
+ (q15_t)0x1403, (q15_t)0x2e7d, (q15_t)0x140c, (q15_t)0x2e85, (q15_t)0x1415, (q15_t)0x2e8e, (q15_t)0x141e, (q15_t)0x2e97,
+ (q15_t)0x1428, (q15_t)0x2e9f, (q15_t)0x1431, (q15_t)0x2ea8, (q15_t)0x143a, (q15_t)0x2eb0, (q15_t)0x1443, (q15_t)0x2eb9,
+ (q15_t)0x144c, (q15_t)0x2ec2, (q15_t)0x1455, (q15_t)0x2eca, (q15_t)0x145f, (q15_t)0x2ed3, (q15_t)0x1468, (q15_t)0x2edb,
+ (q15_t)0x1471, (q15_t)0x2ee4, (q15_t)0x147a, (q15_t)0x2eec, (q15_t)0x1483, (q15_t)0x2ef5, (q15_t)0x148d, (q15_t)0x2efd,
+ (q15_t)0x1496, (q15_t)0x2f06, (q15_t)0x149f, (q15_t)0x2f0e, (q15_t)0x14a8, (q15_t)0x2f17, (q15_t)0x14b2, (q15_t)0x2f20,
+ (q15_t)0x14bb, (q15_t)0x2f28, (q15_t)0x14c4, (q15_t)0x2f30, (q15_t)0x14cd, (q15_t)0x2f39, (q15_t)0x14d7, (q15_t)0x2f41,
+ (q15_t)0x14e0, (q15_t)0x2f4a, (q15_t)0x14e9, (q15_t)0x2f52, (q15_t)0x14f3, (q15_t)0x2f5b, (q15_t)0x14fc, (q15_t)0x2f63,
+ (q15_t)0x1505, (q15_t)0x2f6c, (q15_t)0x150e, (q15_t)0x2f74, (q15_t)0x1518, (q15_t)0x2f7d, (q15_t)0x1521, (q15_t)0x2f85,
+ (q15_t)0x152a, (q15_t)0x2f8d, (q15_t)0x1534, (q15_t)0x2f96, (q15_t)0x153d, (q15_t)0x2f9e, (q15_t)0x1547, (q15_t)0x2fa7,
+ (q15_t)0x1550, (q15_t)0x2faf, (q15_t)0x1559, (q15_t)0x2fb7, (q15_t)0x1563, (q15_t)0x2fc0, (q15_t)0x156c, (q15_t)0x2fc8,
+ (q15_t)0x1575, (q15_t)0x2fd0, (q15_t)0x157f, (q15_t)0x2fd9, (q15_t)0x1588, (q15_t)0x2fe1, (q15_t)0x1592, (q15_t)0x2fea,
+ (q15_t)0x159b, (q15_t)0x2ff2, (q15_t)0x15a4, (q15_t)0x2ffa, (q15_t)0x15ae, (q15_t)0x3002, (q15_t)0x15b7, (q15_t)0x300b,
+ (q15_t)0x15c1, (q15_t)0x3013, (q15_t)0x15ca, (q15_t)0x301b, (q15_t)0x15d4, (q15_t)0x3024, (q15_t)0x15dd, (q15_t)0x302c,
+ (q15_t)0x15e6, (q15_t)0x3034, (q15_t)0x15f0, (q15_t)0x303c, (q15_t)0x15f9, (q15_t)0x3045, (q15_t)0x1603, (q15_t)0x304d,
+ (q15_t)0x160c, (q15_t)0x3055, (q15_t)0x1616, (q15_t)0x305d, (q15_t)0x161f, (q15_t)0x3066, (q15_t)0x1629, (q15_t)0x306e,
+ (q15_t)0x1632, (q15_t)0x3076, (q15_t)0x163c, (q15_t)0x307e, (q15_t)0x1645, (q15_t)0x3087, (q15_t)0x164f, (q15_t)0x308f,
+ (q15_t)0x1659, (q15_t)0x3097, (q15_t)0x1662, (q15_t)0x309f, (q15_t)0x166c, (q15_t)0x30a7, (q15_t)0x1675, (q15_t)0x30af,
+ (q15_t)0x167f, (q15_t)0x30b8, (q15_t)0x1688, (q15_t)0x30c0, (q15_t)0x1692, (q15_t)0x30c8, (q15_t)0x169b, (q15_t)0x30d0,
+ (q15_t)0x16a5, (q15_t)0x30d8, (q15_t)0x16af, (q15_t)0x30e0, (q15_t)0x16b8, (q15_t)0x30e8, (q15_t)0x16c2, (q15_t)0x30f0,
+ (q15_t)0x16cb, (q15_t)0x30f9, (q15_t)0x16d5, (q15_t)0x3101, (q15_t)0x16df, (q15_t)0x3109, (q15_t)0x16e8, (q15_t)0x3111,
+ (q15_t)0x16f2, (q15_t)0x3119, (q15_t)0x16fc, (q15_t)0x3121, (q15_t)0x1705, (q15_t)0x3129, (q15_t)0x170f, (q15_t)0x3131,
+ (q15_t)0x1719, (q15_t)0x3139, (q15_t)0x1722, (q15_t)0x3141, (q15_t)0x172c, (q15_t)0x3149, (q15_t)0x1736, (q15_t)0x3151,
+ (q15_t)0x173f, (q15_t)0x3159, (q15_t)0x1749, (q15_t)0x3161, (q15_t)0x1753, (q15_t)0x3169, (q15_t)0x175c, (q15_t)0x3171,
+ (q15_t)0x1766, (q15_t)0x3179, (q15_t)0x1770, (q15_t)0x3181, (q15_t)0x177a, (q15_t)0x3189, (q15_t)0x1783, (q15_t)0x3191,
+ (q15_t)0x178d, (q15_t)0x3199, (q15_t)0x1797, (q15_t)0x31a1, (q15_t)0x17a0, (q15_t)0x31a9, (q15_t)0x17aa, (q15_t)0x31b1,
+ (q15_t)0x17b4, (q15_t)0x31b9, (q15_t)0x17be, (q15_t)0x31c0, (q15_t)0x17c8, (q15_t)0x31c8, (q15_t)0x17d1, (q15_t)0x31d0,
+ (q15_t)0x17db, (q15_t)0x31d8, (q15_t)0x17e5, (q15_t)0x31e0, (q15_t)0x17ef, (q15_t)0x31e8, (q15_t)0x17f8, (q15_t)0x31f0,
+ (q15_t)0x1802, (q15_t)0x31f8, (q15_t)0x180c, (q15_t)0x31ff, (q15_t)0x1816, (q15_t)0x3207, (q15_t)0x1820, (q15_t)0x320f,
+ (q15_t)0x182a, (q15_t)0x3217, (q15_t)0x1833, (q15_t)0x321f, (q15_t)0x183d, (q15_t)0x3227, (q15_t)0x1847, (q15_t)0x322e,
+ (q15_t)0x1851, (q15_t)0x3236, (q15_t)0x185b, (q15_t)0x323e, (q15_t)0x1865, (q15_t)0x3246, (q15_t)0x186f, (q15_t)0x324e,
+ (q15_t)0x1878, (q15_t)0x3255, (q15_t)0x1882, (q15_t)0x325d, (q15_t)0x188c, (q15_t)0x3265, (q15_t)0x1896, (q15_t)0x326d,
+ (q15_t)0x18a0, (q15_t)0x3274, (q15_t)0x18aa, (q15_t)0x327c, (q15_t)0x18b4, (q15_t)0x3284, (q15_t)0x18be, (q15_t)0x328b,
+ (q15_t)0x18c8, (q15_t)0x3293, (q15_t)0x18d2, (q15_t)0x329b, (q15_t)0x18dc, (q15_t)0x32a3, (q15_t)0x18e6, (q15_t)0x32aa,
+ (q15_t)0x18ef, (q15_t)0x32b2, (q15_t)0x18f9, (q15_t)0x32ba, (q15_t)0x1903, (q15_t)0x32c1, (q15_t)0x190d, (q15_t)0x32c9,
+ (q15_t)0x1917, (q15_t)0x32d0, (q15_t)0x1921, (q15_t)0x32d8, (q15_t)0x192b, (q15_t)0x32e0, (q15_t)0x1935, (q15_t)0x32e7,
+ (q15_t)0x193f, (q15_t)0x32ef, (q15_t)0x1949, (q15_t)0x32f7, (q15_t)0x1953, (q15_t)0x32fe, (q15_t)0x195d, (q15_t)0x3306,
+ (q15_t)0x1967, (q15_t)0x330d, (q15_t)0x1971, (q15_t)0x3315, (q15_t)0x197b, (q15_t)0x331d, (q15_t)0x1985, (q15_t)0x3324,
+ (q15_t)0x198f, (q15_t)0x332c, (q15_t)0x199a, (q15_t)0x3333, (q15_t)0x19a4, (q15_t)0x333b, (q15_t)0x19ae, (q15_t)0x3342,
+ (q15_t)0x19b8, (q15_t)0x334a, (q15_t)0x19c2, (q15_t)0x3351, (q15_t)0x19cc, (q15_t)0x3359, (q15_t)0x19d6, (q15_t)0x3360,
+ (q15_t)0x19e0, (q15_t)0x3368, (q15_t)0x19ea, (q15_t)0x336f, (q15_t)0x19f4, (q15_t)0x3377, (q15_t)0x19fe, (q15_t)0x337e,
+ (q15_t)0x1a08, (q15_t)0x3386, (q15_t)0x1a13, (q15_t)0x338d, (q15_t)0x1a1d, (q15_t)0x3395, (q15_t)0x1a27, (q15_t)0x339c,
+ (q15_t)0x1a31, (q15_t)0x33a3, (q15_t)0x1a3b, (q15_t)0x33ab, (q15_t)0x1a45, (q15_t)0x33b2, (q15_t)0x1a4f, (q15_t)0x33ba,
+ (q15_t)0x1a5a, (q15_t)0x33c1, (q15_t)0x1a64, (q15_t)0x33c8, (q15_t)0x1a6e, (q15_t)0x33d0, (q15_t)0x1a78, (q15_t)0x33d7,
+ (q15_t)0x1a82, (q15_t)0x33df, (q15_t)0x1a8c, (q15_t)0x33e6, (q15_t)0x1a97, (q15_t)0x33ed, (q15_t)0x1aa1, (q15_t)0x33f5,
+ (q15_t)0x1aab, (q15_t)0x33fc, (q15_t)0x1ab5, (q15_t)0x3403, (q15_t)0x1abf, (q15_t)0x340b, (q15_t)0x1aca, (q15_t)0x3412,
+ (q15_t)0x1ad4, (q15_t)0x3419, (q15_t)0x1ade, (q15_t)0x3420, (q15_t)0x1ae8, (q15_t)0x3428, (q15_t)0x1af3, (q15_t)0x342f,
+ (q15_t)0x1afd, (q15_t)0x3436, (q15_t)0x1b07, (q15_t)0x343e, (q15_t)0x1b11, (q15_t)0x3445, (q15_t)0x1b1c, (q15_t)0x344c,
+ (q15_t)0x1b26, (q15_t)0x3453, (q15_t)0x1b30, (q15_t)0x345b, (q15_t)0x1b3b, (q15_t)0x3462, (q15_t)0x1b45, (q15_t)0x3469,
+ (q15_t)0x1b4f, (q15_t)0x3470, (q15_t)0x1b59, (q15_t)0x3477, (q15_t)0x1b64, (q15_t)0x347f, (q15_t)0x1b6e, (q15_t)0x3486,
+ (q15_t)0x1b78, (q15_t)0x348d, (q15_t)0x1b83, (q15_t)0x3494, (q15_t)0x1b8d, (q15_t)0x349b, (q15_t)0x1b97, (q15_t)0x34a2,
+ (q15_t)0x1ba2, (q15_t)0x34aa, (q15_t)0x1bac, (q15_t)0x34b1, (q15_t)0x1bb6, (q15_t)0x34b8, (q15_t)0x1bc1, (q15_t)0x34bf,
+ (q15_t)0x1bcb, (q15_t)0x34c6, (q15_t)0x1bd5, (q15_t)0x34cd, (q15_t)0x1be0, (q15_t)0x34d4, (q15_t)0x1bea, (q15_t)0x34db,
+ (q15_t)0x1bf5, (q15_t)0x34e2, (q15_t)0x1bff, (q15_t)0x34ea, (q15_t)0x1c09, (q15_t)0x34f1, (q15_t)0x1c14, (q15_t)0x34f8,
+ (q15_t)0x1c1e, (q15_t)0x34ff, (q15_t)0x1c29, (q15_t)0x3506, (q15_t)0x1c33, (q15_t)0x350d, (q15_t)0x1c3d, (q15_t)0x3514,
+ (q15_t)0x1c48, (q15_t)0x351b, (q15_t)0x1c52, (q15_t)0x3522, (q15_t)0x1c5d, (q15_t)0x3529, (q15_t)0x1c67, (q15_t)0x3530,
+ (q15_t)0x1c72, (q15_t)0x3537, (q15_t)0x1c7c, (q15_t)0x353e, (q15_t)0x1c86, (q15_t)0x3545, (q15_t)0x1c91, (q15_t)0x354c,
+ (q15_t)0x1c9b, (q15_t)0x3553, (q15_t)0x1ca6, (q15_t)0x355a, (q15_t)0x1cb0, (q15_t)0x3561, (q15_t)0x1cbb, (q15_t)0x3567,
+ (q15_t)0x1cc5, (q15_t)0x356e, (q15_t)0x1cd0, (q15_t)0x3575, (q15_t)0x1cda, (q15_t)0x357c, (q15_t)0x1ce5, (q15_t)0x3583,
+ (q15_t)0x1cef, (q15_t)0x358a, (q15_t)0x1cfa, (q15_t)0x3591, (q15_t)0x1d04, (q15_t)0x3598, (q15_t)0x1d0f, (q15_t)0x359f,
+ (q15_t)0x1d19, (q15_t)0x35a5, (q15_t)0x1d24, (q15_t)0x35ac, (q15_t)0x1d2e, (q15_t)0x35b3, (q15_t)0x1d39, (q15_t)0x35ba,
+ (q15_t)0x1d44, (q15_t)0x35c1, (q15_t)0x1d4e, (q15_t)0x35c8, (q15_t)0x1d59, (q15_t)0x35ce, (q15_t)0x1d63, (q15_t)0x35d5,
+ (q15_t)0x1d6e, (q15_t)0x35dc, (q15_t)0x1d78, (q15_t)0x35e3, (q15_t)0x1d83, (q15_t)0x35ea, (q15_t)0x1d8e, (q15_t)0x35f0,
+ (q15_t)0x1d98, (q15_t)0x35f7, (q15_t)0x1da3, (q15_t)0x35fe, (q15_t)0x1dad, (q15_t)0x3605, (q15_t)0x1db8, (q15_t)0x360b,
+ (q15_t)0x1dc3, (q15_t)0x3612, (q15_t)0x1dcd, (q15_t)0x3619, (q15_t)0x1dd8, (q15_t)0x3620, (q15_t)0x1de2, (q15_t)0x3626,
+ (q15_t)0x1ded, (q15_t)0x362d, (q15_t)0x1df8, (q15_t)0x3634, (q15_t)0x1e02, (q15_t)0x363a, (q15_t)0x1e0d, (q15_t)0x3641,
+ (q15_t)0x1e18, (q15_t)0x3648, (q15_t)0x1e22, (q15_t)0x364e, (q15_t)0x1e2d, (q15_t)0x3655, (q15_t)0x1e38, (q15_t)0x365c,
+ (q15_t)0x1e42, (q15_t)0x3662, (q15_t)0x1e4d, (q15_t)0x3669, (q15_t)0x1e58, (q15_t)0x366f, (q15_t)0x1e62, (q15_t)0x3676,
+ (q15_t)0x1e6d, (q15_t)0x367d, (q15_t)0x1e78, (q15_t)0x3683, (q15_t)0x1e83, (q15_t)0x368a, (q15_t)0x1e8d, (q15_t)0x3690,
+ (q15_t)0x1e98, (q15_t)0x3697, (q15_t)0x1ea3, (q15_t)0x369d, (q15_t)0x1ead, (q15_t)0x36a4, (q15_t)0x1eb8, (q15_t)0x36ab,
+ (q15_t)0x1ec3, (q15_t)0x36b1, (q15_t)0x1ece, (q15_t)0x36b8, (q15_t)0x1ed8, (q15_t)0x36be, (q15_t)0x1ee3, (q15_t)0x36c5,
+ (q15_t)0x1eee, (q15_t)0x36cb, (q15_t)0x1ef9, (q15_t)0x36d2, (q15_t)0x1f03, (q15_t)0x36d8, (q15_t)0x1f0e, (q15_t)0x36df,
+ (q15_t)0x1f19, (q15_t)0x36e5, (q15_t)0x1f24, (q15_t)0x36eb, (q15_t)0x1f2f, (q15_t)0x36f2, (q15_t)0x1f39, (q15_t)0x36f8,
+ (q15_t)0x1f44, (q15_t)0x36ff, (q15_t)0x1f4f, (q15_t)0x3705, (q15_t)0x1f5a, (q15_t)0x370c, (q15_t)0x1f65, (q15_t)0x3712,
+ (q15_t)0x1f6f, (q15_t)0x3718, (q15_t)0x1f7a, (q15_t)0x371f, (q15_t)0x1f85, (q15_t)0x3725, (q15_t)0x1f90, (q15_t)0x372c,
+ (q15_t)0x1f9b, (q15_t)0x3732, (q15_t)0x1fa5, (q15_t)0x3738, (q15_t)0x1fb0, (q15_t)0x373f, (q15_t)0x1fbb, (q15_t)0x3745,
+ (q15_t)0x1fc6, (q15_t)0x374b, (q15_t)0x1fd1, (q15_t)0x3752, (q15_t)0x1fdc, (q15_t)0x3758, (q15_t)0x1fe7, (q15_t)0x375e,
+ (q15_t)0x1ff1, (q15_t)0x3765, (q15_t)0x1ffc, (q15_t)0x376b, (q15_t)0x2007, (q15_t)0x3771, (q15_t)0x2012, (q15_t)0x3777,
+ (q15_t)0x201d, (q15_t)0x377e, (q15_t)0x2028, (q15_t)0x3784, (q15_t)0x2033, (q15_t)0x378a, (q15_t)0x203e, (q15_t)0x3790,
+ (q15_t)0x2049, (q15_t)0x3797, (q15_t)0x2054, (q15_t)0x379d, (q15_t)0x205e, (q15_t)0x37a3, (q15_t)0x2069, (q15_t)0x37a9,
+ (q15_t)0x2074, (q15_t)0x37b0, (q15_t)0x207f, (q15_t)0x37b6, (q15_t)0x208a, (q15_t)0x37bc, (q15_t)0x2095, (q15_t)0x37c2,
+ (q15_t)0x20a0, (q15_t)0x37c8, (q15_t)0x20ab, (q15_t)0x37ce, (q15_t)0x20b6, (q15_t)0x37d5, (q15_t)0x20c1, (q15_t)0x37db,
+ (q15_t)0x20cc, (q15_t)0x37e1, (q15_t)0x20d7, (q15_t)0x37e7, (q15_t)0x20e2, (q15_t)0x37ed, (q15_t)0x20ed, (q15_t)0x37f3,
+ (q15_t)0x20f8, (q15_t)0x37f9, (q15_t)0x2103, (q15_t)0x37ff, (q15_t)0x210e, (q15_t)0x3805, (q15_t)0x2119, (q15_t)0x380b,
+ (q15_t)0x2124, (q15_t)0x3812, (q15_t)0x212f, (q15_t)0x3818, (q15_t)0x213a, (q15_t)0x381e, (q15_t)0x2145, (q15_t)0x3824,
+ (q15_t)0x2150, (q15_t)0x382a, (q15_t)0x215b, (q15_t)0x3830, (q15_t)0x2166, (q15_t)0x3836, (q15_t)0x2171, (q15_t)0x383c,
+ (q15_t)0x217c, (q15_t)0x3842, (q15_t)0x2187, (q15_t)0x3848, (q15_t)0x2192, (q15_t)0x384e, (q15_t)0x219d, (q15_t)0x3854,
+ (q15_t)0x21a8, (q15_t)0x385a, (q15_t)0x21b3, (q15_t)0x3860, (q15_t)0x21be, (q15_t)0x3866, (q15_t)0x21ca, (q15_t)0x386b,
+ (q15_t)0x21d5, (q15_t)0x3871, (q15_t)0x21e0, (q15_t)0x3877, (q15_t)0x21eb, (q15_t)0x387d, (q15_t)0x21f6, (q15_t)0x3883,
+ (q15_t)0x2201, (q15_t)0x3889, (q15_t)0x220c, (q15_t)0x388f, (q15_t)0x2217, (q15_t)0x3895, (q15_t)0x2222, (q15_t)0x389b,
+ (q15_t)0x222d, (q15_t)0x38a1, (q15_t)0x2239, (q15_t)0x38a6, (q15_t)0x2244, (q15_t)0x38ac, (q15_t)0x224f, (q15_t)0x38b2,
+ (q15_t)0x225a, (q15_t)0x38b8, (q15_t)0x2265, (q15_t)0x38be, (q15_t)0x2270, (q15_t)0x38c3, (q15_t)0x227b, (q15_t)0x38c9,
+ (q15_t)0x2287, (q15_t)0x38cf, (q15_t)0x2292, (q15_t)0x38d5, (q15_t)0x229d, (q15_t)0x38db, (q15_t)0x22a8, (q15_t)0x38e0,
+ (q15_t)0x22b3, (q15_t)0x38e6, (q15_t)0x22be, (q15_t)0x38ec, (q15_t)0x22ca, (q15_t)0x38f2, (q15_t)0x22d5, (q15_t)0x38f7,
+ (q15_t)0x22e0, (q15_t)0x38fd, (q15_t)0x22eb, (q15_t)0x3903, (q15_t)0x22f6, (q15_t)0x3909, (q15_t)0x2301, (q15_t)0x390e,
+ (q15_t)0x230d, (q15_t)0x3914, (q15_t)0x2318, (q15_t)0x391a, (q15_t)0x2323, (q15_t)0x391f, (q15_t)0x232e, (q15_t)0x3925,
+ (q15_t)0x233a, (q15_t)0x392b, (q15_t)0x2345, (q15_t)0x3930, (q15_t)0x2350, (q15_t)0x3936, (q15_t)0x235b, (q15_t)0x393b,
+ (q15_t)0x2367, (q15_t)0x3941, (q15_t)0x2372, (q15_t)0x3947, (q15_t)0x237d, (q15_t)0x394c, (q15_t)0x2388, (q15_t)0x3952,
+ (q15_t)0x2394, (q15_t)0x3958, (q15_t)0x239f, (q15_t)0x395d, (q15_t)0x23aa, (q15_t)0x3963, (q15_t)0x23b5, (q15_t)0x3968,
+ (q15_t)0x23c1, (q15_t)0x396e, (q15_t)0x23cc, (q15_t)0x3973, (q15_t)0x23d7, (q15_t)0x3979, (q15_t)0x23e2, (q15_t)0x397e,
+ (q15_t)0x23ee, (q15_t)0x3984, (q15_t)0x23f9, (q15_t)0x3989, (q15_t)0x2404, (q15_t)0x398f, (q15_t)0x2410, (q15_t)0x3994,
+ (q15_t)0x241b, (q15_t)0x399a, (q15_t)0x2426, (q15_t)0x399f, (q15_t)0x2432, (q15_t)0x39a5, (q15_t)0x243d, (q15_t)0x39aa,
+ (q15_t)0x2448, (q15_t)0x39b0, (q15_t)0x2454, (q15_t)0x39b5, (q15_t)0x245f, (q15_t)0x39bb, (q15_t)0x246a, (q15_t)0x39c0,
+ (q15_t)0x2476, (q15_t)0x39c5, (q15_t)0x2481, (q15_t)0x39cb, (q15_t)0x248c, (q15_t)0x39d0, (q15_t)0x2498, (q15_t)0x39d6,
+ (q15_t)0x24a3, (q15_t)0x39db, (q15_t)0x24ae, (q15_t)0x39e0, (q15_t)0x24ba, (q15_t)0x39e6, (q15_t)0x24c5, (q15_t)0x39eb,
+ (q15_t)0x24d0, (q15_t)0x39f0, (q15_t)0x24dc, (q15_t)0x39f6, (q15_t)0x24e7, (q15_t)0x39fb, (q15_t)0x24f3, (q15_t)0x3a00,
+ (q15_t)0x24fe, (q15_t)0x3a06, (q15_t)0x2509, (q15_t)0x3a0b, (q15_t)0x2515, (q15_t)0x3a10, (q15_t)0x2520, (q15_t)0x3a16,
+ (q15_t)0x252c, (q15_t)0x3a1b, (q15_t)0x2537, (q15_t)0x3a20, (q15_t)0x2542, (q15_t)0x3a25, (q15_t)0x254e, (q15_t)0x3a2b,
+ (q15_t)0x2559, (q15_t)0x3a30, (q15_t)0x2565, (q15_t)0x3a35, (q15_t)0x2570, (q15_t)0x3a3a, (q15_t)0x257c, (q15_t)0x3a3f,
+ (q15_t)0x2587, (q15_t)0x3a45, (q15_t)0x2592, (q15_t)0x3a4a, (q15_t)0x259e, (q15_t)0x3a4f, (q15_t)0x25a9, (q15_t)0x3a54,
+ (q15_t)0x25b5, (q15_t)0x3a59, (q15_t)0x25c0, (q15_t)0x3a5f, (q15_t)0x25cc, (q15_t)0x3a64, (q15_t)0x25d7, (q15_t)0x3a69,
+ (q15_t)0x25e3, (q15_t)0x3a6e, (q15_t)0x25ee, (q15_t)0x3a73, (q15_t)0x25fa, (q15_t)0x3a78, (q15_t)0x2605, (q15_t)0x3a7d,
+ (q15_t)0x2611, (q15_t)0x3a82, (q15_t)0x261c, (q15_t)0x3a88, (q15_t)0x2628, (q15_t)0x3a8d, (q15_t)0x2633, (q15_t)0x3a92,
+ (q15_t)0x263f, (q15_t)0x3a97, (q15_t)0x264a, (q15_t)0x3a9c, (q15_t)0x2656, (q15_t)0x3aa1, (q15_t)0x2661, (q15_t)0x3aa6,
+ (q15_t)0x266d, (q15_t)0x3aab, (q15_t)0x2678, (q15_t)0x3ab0, (q15_t)0x2684, (q15_t)0x3ab5, (q15_t)0x268f, (q15_t)0x3aba,
+ (q15_t)0x269b, (q15_t)0x3abf, (q15_t)0x26a6, (q15_t)0x3ac4, (q15_t)0x26b2, (q15_t)0x3ac9, (q15_t)0x26bd, (q15_t)0x3ace,
+ (q15_t)0x26c9, (q15_t)0x3ad3, (q15_t)0x26d4, (q15_t)0x3ad8, (q15_t)0x26e0, (q15_t)0x3add, (q15_t)0x26ec, (q15_t)0x3ae2,
+ (q15_t)0x26f7, (q15_t)0x3ae6, (q15_t)0x2703, (q15_t)0x3aeb, (q15_t)0x270e, (q15_t)0x3af0, (q15_t)0x271a, (q15_t)0x3af5,
+ (q15_t)0x2725, (q15_t)0x3afa, (q15_t)0x2731, (q15_t)0x3aff, (q15_t)0x273d, (q15_t)0x3b04, (q15_t)0x2748, (q15_t)0x3b09,
+ (q15_t)0x2754, (q15_t)0x3b0e, (q15_t)0x275f, (q15_t)0x3b12, (q15_t)0x276b, (q15_t)0x3b17, (q15_t)0x2777, (q15_t)0x3b1c,
+ (q15_t)0x2782, (q15_t)0x3b21, (q15_t)0x278e, (q15_t)0x3b26, (q15_t)0x2799, (q15_t)0x3b2a, (q15_t)0x27a5, (q15_t)0x3b2f,
+ (q15_t)0x27b1, (q15_t)0x3b34, (q15_t)0x27bc, (q15_t)0x3b39, (q15_t)0x27c8, (q15_t)0x3b3e, (q15_t)0x27d3, (q15_t)0x3b42,
+ (q15_t)0x27df, (q15_t)0x3b47, (q15_t)0x27eb, (q15_t)0x3b4c, (q15_t)0x27f6, (q15_t)0x3b50, (q15_t)0x2802, (q15_t)0x3b55,
+ (q15_t)0x280e, (q15_t)0x3b5a, (q15_t)0x2819, (q15_t)0x3b5f, (q15_t)0x2825, (q15_t)0x3b63, (q15_t)0x2831, (q15_t)0x3b68,
+ (q15_t)0x283c, (q15_t)0x3b6d, (q15_t)0x2848, (q15_t)0x3b71, (q15_t)0x2854, (q15_t)0x3b76, (q15_t)0x285f, (q15_t)0x3b7b,
+ (q15_t)0x286b, (q15_t)0x3b7f, (q15_t)0x2877, (q15_t)0x3b84, (q15_t)0x2882, (q15_t)0x3b88, (q15_t)0x288e, (q15_t)0x3b8d,
+ (q15_t)0x289a, (q15_t)0x3b92, (q15_t)0x28a5, (q15_t)0x3b96, (q15_t)0x28b1, (q15_t)0x3b9b, (q15_t)0x28bd, (q15_t)0x3b9f,
+ (q15_t)0x28c9, (q15_t)0x3ba4, (q15_t)0x28d4, (q15_t)0x3ba9, (q15_t)0x28e0, (q15_t)0x3bad, (q15_t)0x28ec, (q15_t)0x3bb2,
+ (q15_t)0x28f7, (q15_t)0x3bb6, (q15_t)0x2903, (q15_t)0x3bbb, (q15_t)0x290f, (q15_t)0x3bbf, (q15_t)0x291b, (q15_t)0x3bc4,
+ (q15_t)0x2926, (q15_t)0x3bc8, (q15_t)0x2932, (q15_t)0x3bcd, (q15_t)0x293e, (q15_t)0x3bd1, (q15_t)0x294a, (q15_t)0x3bd6,
+ (q15_t)0x2955, (q15_t)0x3bda, (q15_t)0x2961, (q15_t)0x3bde, (q15_t)0x296d, (q15_t)0x3be3, (q15_t)0x2979, (q15_t)0x3be7,
+ (q15_t)0x2984, (q15_t)0x3bec, (q15_t)0x2990, (q15_t)0x3bf0, (q15_t)0x299c, (q15_t)0x3bf5, (q15_t)0x29a8, (q15_t)0x3bf9,
+ (q15_t)0x29b4, (q15_t)0x3bfd, (q15_t)0x29bf, (q15_t)0x3c02, (q15_t)0x29cb, (q15_t)0x3c06, (q15_t)0x29d7, (q15_t)0x3c0a,
+ (q15_t)0x29e3, (q15_t)0x3c0f, (q15_t)0x29ee, (q15_t)0x3c13, (q15_t)0x29fa, (q15_t)0x3c17, (q15_t)0x2a06, (q15_t)0x3c1c,
+ (q15_t)0x2a12, (q15_t)0x3c20, (q15_t)0x2a1e, (q15_t)0x3c24, (q15_t)0x2a29, (q15_t)0x3c29, (q15_t)0x2a35, (q15_t)0x3c2d,
+ (q15_t)0x2a41, (q15_t)0x3c31, (q15_t)0x2a4d, (q15_t)0x3c36, (q15_t)0x2a59, (q15_t)0x3c3a, (q15_t)0x2a65, (q15_t)0x3c3e,
+ (q15_t)0x2a70, (q15_t)0x3c42, (q15_t)0x2a7c, (q15_t)0x3c46, (q15_t)0x2a88, (q15_t)0x3c4b, (q15_t)0x2a94, (q15_t)0x3c4f,
+ (q15_t)0x2aa0, (q15_t)0x3c53, (q15_t)0x2aac, (q15_t)0x3c57, (q15_t)0x2ab7, (q15_t)0x3c5b, (q15_t)0x2ac3, (q15_t)0x3c60,
+ (q15_t)0x2acf, (q15_t)0x3c64, (q15_t)0x2adb, (q15_t)0x3c68, (q15_t)0x2ae7, (q15_t)0x3c6c, (q15_t)0x2af3, (q15_t)0x3c70,
+ (q15_t)0x2aff, (q15_t)0x3c74, (q15_t)0x2b0a, (q15_t)0x3c79, (q15_t)0x2b16, (q15_t)0x3c7d, (q15_t)0x2b22, (q15_t)0x3c81,
+ (q15_t)0x2b2e, (q15_t)0x3c85, (q15_t)0x2b3a, (q15_t)0x3c89, (q15_t)0x2b46, (q15_t)0x3c8d, (q15_t)0x2b52, (q15_t)0x3c91,
+ (q15_t)0x2b5e, (q15_t)0x3c95, (q15_t)0x2b6a, (q15_t)0x3c99, (q15_t)0x2b75, (q15_t)0x3c9d, (q15_t)0x2b81, (q15_t)0x3ca1,
+ (q15_t)0x2b8d, (q15_t)0x3ca5, (q15_t)0x2b99, (q15_t)0x3ca9, (q15_t)0x2ba5, (q15_t)0x3cad, (q15_t)0x2bb1, (q15_t)0x3cb1,
+ (q15_t)0x2bbd, (q15_t)0x3cb5, (q15_t)0x2bc9, (q15_t)0x3cb9, (q15_t)0x2bd5, (q15_t)0x3cbd, (q15_t)0x2be1, (q15_t)0x3cc1,
+ (q15_t)0x2bed, (q15_t)0x3cc5, (q15_t)0x2bf9, (q15_t)0x3cc9, (q15_t)0x2c05, (q15_t)0x3ccd, (q15_t)0x2c10, (q15_t)0x3cd1,
+ (q15_t)0x2c1c, (q15_t)0x3cd5, (q15_t)0x2c28, (q15_t)0x3cd9, (q15_t)0x2c34, (q15_t)0x3cdd, (q15_t)0x2c40, (q15_t)0x3ce0,
+ (q15_t)0x2c4c, (q15_t)0x3ce4, (q15_t)0x2c58, (q15_t)0x3ce8, (q15_t)0x2c64, (q15_t)0x3cec, (q15_t)0x2c70, (q15_t)0x3cf0,
+ (q15_t)0x2c7c, (q15_t)0x3cf4, (q15_t)0x2c88, (q15_t)0x3cf8, (q15_t)0x2c94, (q15_t)0x3cfb, (q15_t)0x2ca0, (q15_t)0x3cff,
+ (q15_t)0x2cac, (q15_t)0x3d03, (q15_t)0x2cb8, (q15_t)0x3d07, (q15_t)0x2cc4, (q15_t)0x3d0b, (q15_t)0x2cd0, (q15_t)0x3d0e,
+ (q15_t)0x2cdc, (q15_t)0x3d12, (q15_t)0x2ce8, (q15_t)0x3d16, (q15_t)0x2cf4, (q15_t)0x3d1a, (q15_t)0x2d00, (q15_t)0x3d1d,
+ (q15_t)0x2d0c, (q15_t)0x3d21, (q15_t)0x2d18, (q15_t)0x3d25, (q15_t)0x2d24, (q15_t)0x3d28, (q15_t)0x2d30, (q15_t)0x3d2c,
+ (q15_t)0x2d3c, (q15_t)0x3d30, (q15_t)0x2d48, (q15_t)0x3d34, (q15_t)0x2d54, (q15_t)0x3d37, (q15_t)0x2d60, (q15_t)0x3d3b,
+ (q15_t)0x2d6c, (q15_t)0x3d3f, (q15_t)0x2d78, (q15_t)0x3d42, (q15_t)0x2d84, (q15_t)0x3d46, (q15_t)0x2d90, (q15_t)0x3d49,
+ (q15_t)0x2d9c, (q15_t)0x3d4d, (q15_t)0x2da8, (q15_t)0x3d51, (q15_t)0x2db4, (q15_t)0x3d54, (q15_t)0x2dc0, (q15_t)0x3d58,
+ (q15_t)0x2dcc, (q15_t)0x3d5b, (q15_t)0x2dd8, (q15_t)0x3d5f, (q15_t)0x2de4, (q15_t)0x3d63, (q15_t)0x2df0, (q15_t)0x3d66,
+ (q15_t)0x2dfc, (q15_t)0x3d6a, (q15_t)0x2e09, (q15_t)0x3d6d, (q15_t)0x2e15, (q15_t)0x3d71, (q15_t)0x2e21, (q15_t)0x3d74,
+ (q15_t)0x2e2d, (q15_t)0x3d78, (q15_t)0x2e39, (q15_t)0x3d7b, (q15_t)0x2e45, (q15_t)0x3d7f, (q15_t)0x2e51, (q15_t)0x3d82,
+ (q15_t)0x2e5d, (q15_t)0x3d86, (q15_t)0x2e69, (q15_t)0x3d89, (q15_t)0x2e75, (q15_t)0x3d8d, (q15_t)0x2e81, (q15_t)0x3d90,
+ (q15_t)0x2e8d, (q15_t)0x3d93, (q15_t)0x2e99, (q15_t)0x3d97, (q15_t)0x2ea6, (q15_t)0x3d9a, (q15_t)0x2eb2, (q15_t)0x3d9e,
+ (q15_t)0x2ebe, (q15_t)0x3da1, (q15_t)0x2eca, (q15_t)0x3da4, (q15_t)0x2ed6, (q15_t)0x3da8, (q15_t)0x2ee2, (q15_t)0x3dab,
+ (q15_t)0x2eee, (q15_t)0x3daf, (q15_t)0x2efa, (q15_t)0x3db2, (q15_t)0x2f06, (q15_t)0x3db5, (q15_t)0x2f13, (q15_t)0x3db9,
+ (q15_t)0x2f1f, (q15_t)0x3dbc, (q15_t)0x2f2b, (q15_t)0x3dbf, (q15_t)0x2f37, (q15_t)0x3dc2, (q15_t)0x2f43, (q15_t)0x3dc6,
+ (q15_t)0x2f4f, (q15_t)0x3dc9, (q15_t)0x2f5b, (q15_t)0x3dcc, (q15_t)0x2f67, (q15_t)0x3dd0, (q15_t)0x2f74, (q15_t)0x3dd3,
+ (q15_t)0x2f80, (q15_t)0x3dd6, (q15_t)0x2f8c, (q15_t)0x3dd9, (q15_t)0x2f98, (q15_t)0x3ddd, (q15_t)0x2fa4, (q15_t)0x3de0,
+ (q15_t)0x2fb0, (q15_t)0x3de3, (q15_t)0x2fbc, (q15_t)0x3de6, (q15_t)0x2fc9, (q15_t)0x3de9, (q15_t)0x2fd5, (q15_t)0x3ded,
+ (q15_t)0x2fe1, (q15_t)0x3df0, (q15_t)0x2fed, (q15_t)0x3df3, (q15_t)0x2ff9, (q15_t)0x3df6, (q15_t)0x3005, (q15_t)0x3df9,
+ (q15_t)0x3012, (q15_t)0x3dfc, (q15_t)0x301e, (q15_t)0x3dff, (q15_t)0x302a, (q15_t)0x3e03, (q15_t)0x3036, (q15_t)0x3e06,
+ (q15_t)0x3042, (q15_t)0x3e09, (q15_t)0x304e, (q15_t)0x3e0c, (q15_t)0x305b, (q15_t)0x3e0f, (q15_t)0x3067, (q15_t)0x3e12,
+ (q15_t)0x3073, (q15_t)0x3e15, (q15_t)0x307f, (q15_t)0x3e18, (q15_t)0x308b, (q15_t)0x3e1b, (q15_t)0x3098, (q15_t)0x3e1e,
+ (q15_t)0x30a4, (q15_t)0x3e21, (q15_t)0x30b0, (q15_t)0x3e24, (q15_t)0x30bc, (q15_t)0x3e27, (q15_t)0x30c8, (q15_t)0x3e2a,
+ (q15_t)0x30d5, (q15_t)0x3e2d, (q15_t)0x30e1, (q15_t)0x3e30, (q15_t)0x30ed, (q15_t)0x3e33, (q15_t)0x30f9, (q15_t)0x3e36,
+ (q15_t)0x3105, (q15_t)0x3e39, (q15_t)0x3112, (q15_t)0x3e3c, (q15_t)0x311e, (q15_t)0x3e3f, (q15_t)0x312a, (q15_t)0x3e42,
+ (q15_t)0x3136, (q15_t)0x3e45, (q15_t)0x3143, (q15_t)0x3e48, (q15_t)0x314f, (q15_t)0x3e4a, (q15_t)0x315b, (q15_t)0x3e4d,
+ (q15_t)0x3167, (q15_t)0x3e50, (q15_t)0x3174, (q15_t)0x3e53, (q15_t)0x3180, (q15_t)0x3e56, (q15_t)0x318c, (q15_t)0x3e59,
+ (q15_t)0x3198, (q15_t)0x3e5c, (q15_t)0x31a4, (q15_t)0x3e5e, (q15_t)0x31b1, (q15_t)0x3e61, (q15_t)0x31bd, (q15_t)0x3e64,
+ (q15_t)0x31c9, (q15_t)0x3e67, (q15_t)0x31d5, (q15_t)0x3e6a, (q15_t)0x31e2, (q15_t)0x3e6c, (q15_t)0x31ee, (q15_t)0x3e6f,
+ (q15_t)0x31fa, (q15_t)0x3e72, (q15_t)0x3207, (q15_t)0x3e75, (q15_t)0x3213, (q15_t)0x3e77, (q15_t)0x321f, (q15_t)0x3e7a,
+ (q15_t)0x322b, (q15_t)0x3e7d, (q15_t)0x3238, (q15_t)0x3e80, (q15_t)0x3244, (q15_t)0x3e82, (q15_t)0x3250, (q15_t)0x3e85,
+ (q15_t)0x325c, (q15_t)0x3e88, (q15_t)0x3269, (q15_t)0x3e8a, (q15_t)0x3275, (q15_t)0x3e8d, (q15_t)0x3281, (q15_t)0x3e90,
+ (q15_t)0x328e, (q15_t)0x3e92, (q15_t)0x329a, (q15_t)0x3e95, (q15_t)0x32a6, (q15_t)0x3e98, (q15_t)0x32b2, (q15_t)0x3e9a,
+ (q15_t)0x32bf, (q15_t)0x3e9d, (q15_t)0x32cb, (q15_t)0x3e9f, (q15_t)0x32d7, (q15_t)0x3ea2, (q15_t)0x32e4, (q15_t)0x3ea5,
+ (q15_t)0x32f0, (q15_t)0x3ea7, (q15_t)0x32fc, (q15_t)0x3eaa, (q15_t)0x3308, (q15_t)0x3eac, (q15_t)0x3315, (q15_t)0x3eaf,
+ (q15_t)0x3321, (q15_t)0x3eb1, (q15_t)0x332d, (q15_t)0x3eb4, (q15_t)0x333a, (q15_t)0x3eb6, (q15_t)0x3346, (q15_t)0x3eb9,
+ (q15_t)0x3352, (q15_t)0x3ebb, (q15_t)0x335f, (q15_t)0x3ebe, (q15_t)0x336b, (q15_t)0x3ec0, (q15_t)0x3377, (q15_t)0x3ec3,
+ (q15_t)0x3384, (q15_t)0x3ec5, (q15_t)0x3390, (q15_t)0x3ec8, (q15_t)0x339c, (q15_t)0x3eca, (q15_t)0x33a9, (q15_t)0x3ecc,
+ (q15_t)0x33b5, (q15_t)0x3ecf, (q15_t)0x33c1, (q15_t)0x3ed1, (q15_t)0x33ce, (q15_t)0x3ed4, (q15_t)0x33da, (q15_t)0x3ed6,
+ (q15_t)0x33e6, (q15_t)0x3ed8, (q15_t)0x33f3, (q15_t)0x3edb, (q15_t)0x33ff, (q15_t)0x3edd, (q15_t)0x340b, (q15_t)0x3ee0,
+ (q15_t)0x3418, (q15_t)0x3ee2, (q15_t)0x3424, (q15_t)0x3ee4, (q15_t)0x3430, (q15_t)0x3ee7, (q15_t)0x343d, (q15_t)0x3ee9,
+ (q15_t)0x3449, (q15_t)0x3eeb, (q15_t)0x3455, (q15_t)0x3eed, (q15_t)0x3462, (q15_t)0x3ef0, (q15_t)0x346e, (q15_t)0x3ef2,
+ (q15_t)0x347b, (q15_t)0x3ef4, (q15_t)0x3487, (q15_t)0x3ef7, (q15_t)0x3493, (q15_t)0x3ef9, (q15_t)0x34a0, (q15_t)0x3efb,
+ (q15_t)0x34ac, (q15_t)0x3efd, (q15_t)0x34b8, (q15_t)0x3f00, (q15_t)0x34c5, (q15_t)0x3f02, (q15_t)0x34d1, (q15_t)0x3f04,
+ (q15_t)0x34dd, (q15_t)0x3f06, (q15_t)0x34ea, (q15_t)0x3f08, (q15_t)0x34f6, (q15_t)0x3f0a, (q15_t)0x3503, (q15_t)0x3f0d,
+ (q15_t)0x350f, (q15_t)0x3f0f, (q15_t)0x351b, (q15_t)0x3f11, (q15_t)0x3528, (q15_t)0x3f13, (q15_t)0x3534, (q15_t)0x3f15,
+ (q15_t)0x3540, (q15_t)0x3f17, (q15_t)0x354d, (q15_t)0x3f19, (q15_t)0x3559, (q15_t)0x3f1c, (q15_t)0x3566, (q15_t)0x3f1e,
+ (q15_t)0x3572, (q15_t)0x3f20, (q15_t)0x357e, (q15_t)0x3f22, (q15_t)0x358b, (q15_t)0x3f24, (q15_t)0x3597, (q15_t)0x3f26,
+ (q15_t)0x35a4, (q15_t)0x3f28, (q15_t)0x35b0, (q15_t)0x3f2a, (q15_t)0x35bc, (q15_t)0x3f2c, (q15_t)0x35c9, (q15_t)0x3f2e,
+ (q15_t)0x35d5, (q15_t)0x3f30, (q15_t)0x35e2, (q15_t)0x3f32, (q15_t)0x35ee, (q15_t)0x3f34, (q15_t)0x35fa, (q15_t)0x3f36,
+ (q15_t)0x3607, (q15_t)0x3f38, (q15_t)0x3613, (q15_t)0x3f3a, (q15_t)0x3620, (q15_t)0x3f3c, (q15_t)0x362c, (q15_t)0x3f3e,
+ (q15_t)0x3639, (q15_t)0x3f40, (q15_t)0x3645, (q15_t)0x3f42, (q15_t)0x3651, (q15_t)0x3f43, (q15_t)0x365e, (q15_t)0x3f45,
+ (q15_t)0x366a, (q15_t)0x3f47, (q15_t)0x3677, (q15_t)0x3f49, (q15_t)0x3683, (q15_t)0x3f4b, (q15_t)0x3690, (q15_t)0x3f4d,
+ (q15_t)0x369c, (q15_t)0x3f4f, (q15_t)0x36a8, (q15_t)0x3f51, (q15_t)0x36b5, (q15_t)0x3f52, (q15_t)0x36c1, (q15_t)0x3f54,
+ (q15_t)0x36ce, (q15_t)0x3f56, (q15_t)0x36da, (q15_t)0x3f58, (q15_t)0x36e7, (q15_t)0x3f5a, (q15_t)0x36f3, (q15_t)0x3f5b,
+ (q15_t)0x36ff, (q15_t)0x3f5d, (q15_t)0x370c, (q15_t)0x3f5f, (q15_t)0x3718, (q15_t)0x3f61, (q15_t)0x3725, (q15_t)0x3f62,
+ (q15_t)0x3731, (q15_t)0x3f64, (q15_t)0x373e, (q15_t)0x3f66, (q15_t)0x374a, (q15_t)0x3f68, (q15_t)0x3757, (q15_t)0x3f69,
+ (q15_t)0x3763, (q15_t)0x3f6b, (q15_t)0x376f, (q15_t)0x3f6d, (q15_t)0x377c, (q15_t)0x3f6e, (q15_t)0x3788, (q15_t)0x3f70,
+ (q15_t)0x3795, (q15_t)0x3f72, (q15_t)0x37a1, (q15_t)0x3f73, (q15_t)0x37ae, (q15_t)0x3f75, (q15_t)0x37ba, (q15_t)0x3f77,
+ (q15_t)0x37c7, (q15_t)0x3f78, (q15_t)0x37d3, (q15_t)0x3f7a, (q15_t)0x37e0, (q15_t)0x3f7b, (q15_t)0x37ec, (q15_t)0x3f7d,
+ (q15_t)0x37f9, (q15_t)0x3f7f, (q15_t)0x3805, (q15_t)0x3f80, (q15_t)0x3811, (q15_t)0x3f82, (q15_t)0x381e, (q15_t)0x3f83,
+ (q15_t)0x382a, (q15_t)0x3f85, (q15_t)0x3837, (q15_t)0x3f86, (q15_t)0x3843, (q15_t)0x3f88, (q15_t)0x3850, (q15_t)0x3f89,
+ (q15_t)0x385c, (q15_t)0x3f8b, (q15_t)0x3869, (q15_t)0x3f8c, (q15_t)0x3875, (q15_t)0x3f8e, (q15_t)0x3882, (q15_t)0x3f8f,
+ (q15_t)0x388e, (q15_t)0x3f91, (q15_t)0x389b, (q15_t)0x3f92, (q15_t)0x38a7, (q15_t)0x3f94, (q15_t)0x38b4, (q15_t)0x3f95,
+ (q15_t)0x38c0, (q15_t)0x3f97, (q15_t)0x38cd, (q15_t)0x3f98, (q15_t)0x38d9, (q15_t)0x3f99, (q15_t)0x38e6, (q15_t)0x3f9b,
+ (q15_t)0x38f2, (q15_t)0x3f9c, (q15_t)0x38ff, (q15_t)0x3f9e, (q15_t)0x390b, (q15_t)0x3f9f, (q15_t)0x3918, (q15_t)0x3fa0,
+ (q15_t)0x3924, (q15_t)0x3fa2, (q15_t)0x3931, (q15_t)0x3fa3, (q15_t)0x393d, (q15_t)0x3fa4, (q15_t)0x394a, (q15_t)0x3fa6,
+ (q15_t)0x3956, (q15_t)0x3fa7, (q15_t)0x3963, (q15_t)0x3fa8, (q15_t)0x396f, (q15_t)0x3faa, (q15_t)0x397c, (q15_t)0x3fab,
+ (q15_t)0x3988, (q15_t)0x3fac, (q15_t)0x3995, (q15_t)0x3fad, (q15_t)0x39a1, (q15_t)0x3faf, (q15_t)0x39ae, (q15_t)0x3fb0,
+ (q15_t)0x39ba, (q15_t)0x3fb1, (q15_t)0x39c7, (q15_t)0x3fb2, (q15_t)0x39d3, (q15_t)0x3fb4, (q15_t)0x39e0, (q15_t)0x3fb5,
+ (q15_t)0x39ec, (q15_t)0x3fb6, (q15_t)0x39f9, (q15_t)0x3fb7, (q15_t)0x3a05, (q15_t)0x3fb8, (q15_t)0x3a12, (q15_t)0x3fb9,
+ (q15_t)0x3a1e, (q15_t)0x3fbb, (q15_t)0x3a2b, (q15_t)0x3fbc, (q15_t)0x3a37, (q15_t)0x3fbd, (q15_t)0x3a44, (q15_t)0x3fbe,
+ (q15_t)0x3a50, (q15_t)0x3fbf, (q15_t)0x3a5d, (q15_t)0x3fc0, (q15_t)0x3a69, (q15_t)0x3fc1, (q15_t)0x3a76, (q15_t)0x3fc3,
+ (q15_t)0x3a82, (q15_t)0x3fc4, (q15_t)0x3a8f, (q15_t)0x3fc5, (q15_t)0x3a9b, (q15_t)0x3fc6, (q15_t)0x3aa8, (q15_t)0x3fc7,
+ (q15_t)0x3ab4, (q15_t)0x3fc8, (q15_t)0x3ac1, (q15_t)0x3fc9, (q15_t)0x3acd, (q15_t)0x3fca, (q15_t)0x3ada, (q15_t)0x3fcb,
+ (q15_t)0x3ae6, (q15_t)0x3fcc, (q15_t)0x3af3, (q15_t)0x3fcd, (q15_t)0x3b00, (q15_t)0x3fce, (q15_t)0x3b0c, (q15_t)0x3fcf,
+ (q15_t)0x3b19, (q15_t)0x3fd0, (q15_t)0x3b25, (q15_t)0x3fd1, (q15_t)0x3b32, (q15_t)0x3fd2, (q15_t)0x3b3e, (q15_t)0x3fd3,
+ (q15_t)0x3b4b, (q15_t)0x3fd4, (q15_t)0x3b57, (q15_t)0x3fd5, (q15_t)0x3b64, (q15_t)0x3fd5, (q15_t)0x3b70, (q15_t)0x3fd6,
+ (q15_t)0x3b7d, (q15_t)0x3fd7, (q15_t)0x3b89, (q15_t)0x3fd8, (q15_t)0x3b96, (q15_t)0x3fd9, (q15_t)0x3ba2, (q15_t)0x3fda,
+ (q15_t)0x3baf, (q15_t)0x3fdb, (q15_t)0x3bbc, (q15_t)0x3fdc, (q15_t)0x3bc8, (q15_t)0x3fdc, (q15_t)0x3bd5, (q15_t)0x3fdd,
+ (q15_t)0x3be1, (q15_t)0x3fde, (q15_t)0x3bee, (q15_t)0x3fdf, (q15_t)0x3bfa, (q15_t)0x3fe0, (q15_t)0x3c07, (q15_t)0x3fe0,
+ (q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3,
+ (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6,
+ (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9,
+ (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec,
+ (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee,
+ (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0,
+ (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2,
+ (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4,
+ (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6,
+ (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8,
+ (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9,
+ (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb,
+ (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc,
+ (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd,
+ (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe,
+ (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff,
+ (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff,
+ (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000,
+ (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000,
+ (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000,
+};
+
+/**
+ @par
+ Generation of real_CoefB array:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+ pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q15 format
+ round(pBTable[i] * pow(2, 15))
+*/
+const q15_t __ALIGNED(4) realCoefBQ15[8192] = {
+ (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000,
+ (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000,
+ (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff,
+ (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff,
+ (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe,
+ (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd,
+ (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc,
+ (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb,
+ (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa,
+ (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9,
+ (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7,
+ (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5,
+ (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3,
+ (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1,
+ (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef,
+ (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed,
+ (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea,
+ (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8,
+ (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5,
+ (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2,
+ (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf,
+ (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc,
+ (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8,
+ (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5,
+ (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1,
+ (q15_t)0x44e7, (q15_t)0x3fd0, (q15_t)0x44f4, (q15_t)0x3fcf, (q15_t)0x4500, (q15_t)0x3fce, (q15_t)0x450d, (q15_t)0x3fcd,
+ (q15_t)0x451a, (q15_t)0x3fcc, (q15_t)0x4526, (q15_t)0x3fcb, (q15_t)0x4533, (q15_t)0x3fca, (q15_t)0x453f, (q15_t)0x3fc9,
+ (q15_t)0x454c, (q15_t)0x3fc8, (q15_t)0x4558, (q15_t)0x3fc7, (q15_t)0x4565, (q15_t)0x3fc6, (q15_t)0x4571, (q15_t)0x3fc5,
+ (q15_t)0x457e, (q15_t)0x3fc4, (q15_t)0x458a, (q15_t)0x3fc3, (q15_t)0x4597, (q15_t)0x3fc1, (q15_t)0x45a3, (q15_t)0x3fc0,
+ (q15_t)0x45b0, (q15_t)0x3fbf, (q15_t)0x45bc, (q15_t)0x3fbe, (q15_t)0x45c9, (q15_t)0x3fbd, (q15_t)0x45d5, (q15_t)0x3fbc,
+ (q15_t)0x45e2, (q15_t)0x3fbb, (q15_t)0x45ee, (q15_t)0x3fb9, (q15_t)0x45fb, (q15_t)0x3fb8, (q15_t)0x4607, (q15_t)0x3fb7,
+ (q15_t)0x4614, (q15_t)0x3fb6, (q15_t)0x4620, (q15_t)0x3fb5, (q15_t)0x462d, (q15_t)0x3fb4, (q15_t)0x4639, (q15_t)0x3fb2,
+ (q15_t)0x4646, (q15_t)0x3fb1, (q15_t)0x4652, (q15_t)0x3fb0, (q15_t)0x465f, (q15_t)0x3faf, (q15_t)0x466b, (q15_t)0x3fad,
+ (q15_t)0x4678, (q15_t)0x3fac, (q15_t)0x4684, (q15_t)0x3fab, (q15_t)0x4691, (q15_t)0x3faa, (q15_t)0x469d, (q15_t)0x3fa8,
+ (q15_t)0x46aa, (q15_t)0x3fa7, (q15_t)0x46b6, (q15_t)0x3fa6, (q15_t)0x46c3, (q15_t)0x3fa4, (q15_t)0x46cf, (q15_t)0x3fa3,
+ (q15_t)0x46dc, (q15_t)0x3fa2, (q15_t)0x46e8, (q15_t)0x3fa0, (q15_t)0x46f5, (q15_t)0x3f9f, (q15_t)0x4701, (q15_t)0x3f9e,
+ (q15_t)0x470e, (q15_t)0x3f9c, (q15_t)0x471a, (q15_t)0x3f9b, (q15_t)0x4727, (q15_t)0x3f99, (q15_t)0x4733, (q15_t)0x3f98,
+ (q15_t)0x4740, (q15_t)0x3f97, (q15_t)0x474c, (q15_t)0x3f95, (q15_t)0x4759, (q15_t)0x3f94, (q15_t)0x4765, (q15_t)0x3f92,
+ (q15_t)0x4772, (q15_t)0x3f91, (q15_t)0x477e, (q15_t)0x3f8f, (q15_t)0x478b, (q15_t)0x3f8e, (q15_t)0x4797, (q15_t)0x3f8c,
+ (q15_t)0x47a4, (q15_t)0x3f8b, (q15_t)0x47b0, (q15_t)0x3f89, (q15_t)0x47bd, (q15_t)0x3f88, (q15_t)0x47c9, (q15_t)0x3f86,
+ (q15_t)0x47d6, (q15_t)0x3f85, (q15_t)0x47e2, (q15_t)0x3f83, (q15_t)0x47ef, (q15_t)0x3f82, (q15_t)0x47fb, (q15_t)0x3f80,
+ (q15_t)0x4807, (q15_t)0x3f7f, (q15_t)0x4814, (q15_t)0x3f7d, (q15_t)0x4820, (q15_t)0x3f7b, (q15_t)0x482d, (q15_t)0x3f7a,
+ (q15_t)0x4839, (q15_t)0x3f78, (q15_t)0x4846, (q15_t)0x3f77, (q15_t)0x4852, (q15_t)0x3f75, (q15_t)0x485f, (q15_t)0x3f73,
+ (q15_t)0x486b, (q15_t)0x3f72, (q15_t)0x4878, (q15_t)0x3f70, (q15_t)0x4884, (q15_t)0x3f6e, (q15_t)0x4891, (q15_t)0x3f6d,
+ (q15_t)0x489d, (q15_t)0x3f6b, (q15_t)0x48a9, (q15_t)0x3f69, (q15_t)0x48b6, (q15_t)0x3f68, (q15_t)0x48c2, (q15_t)0x3f66,
+ (q15_t)0x48cf, (q15_t)0x3f64, (q15_t)0x48db, (q15_t)0x3f62, (q15_t)0x48e8, (q15_t)0x3f61, (q15_t)0x48f4, (q15_t)0x3f5f,
+ (q15_t)0x4901, (q15_t)0x3f5d, (q15_t)0x490d, (q15_t)0x3f5b, (q15_t)0x4919, (q15_t)0x3f5a, (q15_t)0x4926, (q15_t)0x3f58,
+ (q15_t)0x4932, (q15_t)0x3f56, (q15_t)0x493f, (q15_t)0x3f54, (q15_t)0x494b, (q15_t)0x3f52, (q15_t)0x4958, (q15_t)0x3f51,
+ (q15_t)0x4964, (q15_t)0x3f4f, (q15_t)0x4970, (q15_t)0x3f4d, (q15_t)0x497d, (q15_t)0x3f4b, (q15_t)0x4989, (q15_t)0x3f49,
+ (q15_t)0x4996, (q15_t)0x3f47, (q15_t)0x49a2, (q15_t)0x3f45, (q15_t)0x49af, (q15_t)0x3f43, (q15_t)0x49bb, (q15_t)0x3f42,
+ (q15_t)0x49c7, (q15_t)0x3f40, (q15_t)0x49d4, (q15_t)0x3f3e, (q15_t)0x49e0, (q15_t)0x3f3c, (q15_t)0x49ed, (q15_t)0x3f3a,
+ (q15_t)0x49f9, (q15_t)0x3f38, (q15_t)0x4a06, (q15_t)0x3f36, (q15_t)0x4a12, (q15_t)0x3f34, (q15_t)0x4a1e, (q15_t)0x3f32,
+ (q15_t)0x4a2b, (q15_t)0x3f30, (q15_t)0x4a37, (q15_t)0x3f2e, (q15_t)0x4a44, (q15_t)0x3f2c, (q15_t)0x4a50, (q15_t)0x3f2a,
+ (q15_t)0x4a5c, (q15_t)0x3f28, (q15_t)0x4a69, (q15_t)0x3f26, (q15_t)0x4a75, (q15_t)0x3f24, (q15_t)0x4a82, (q15_t)0x3f22,
+ (q15_t)0x4a8e, (q15_t)0x3f20, (q15_t)0x4a9a, (q15_t)0x3f1e, (q15_t)0x4aa7, (q15_t)0x3f1c, (q15_t)0x4ab3, (q15_t)0x3f19,
+ (q15_t)0x4ac0, (q15_t)0x3f17, (q15_t)0x4acc, (q15_t)0x3f15, (q15_t)0x4ad8, (q15_t)0x3f13, (q15_t)0x4ae5, (q15_t)0x3f11,
+ (q15_t)0x4af1, (q15_t)0x3f0f, (q15_t)0x4afd, (q15_t)0x3f0d, (q15_t)0x4b0a, (q15_t)0x3f0a, (q15_t)0x4b16, (q15_t)0x3f08,
+ (q15_t)0x4b23, (q15_t)0x3f06, (q15_t)0x4b2f, (q15_t)0x3f04, (q15_t)0x4b3b, (q15_t)0x3f02, (q15_t)0x4b48, (q15_t)0x3f00,
+ (q15_t)0x4b54, (q15_t)0x3efd, (q15_t)0x4b60, (q15_t)0x3efb, (q15_t)0x4b6d, (q15_t)0x3ef9, (q15_t)0x4b79, (q15_t)0x3ef7,
+ (q15_t)0x4b85, (q15_t)0x3ef4, (q15_t)0x4b92, (q15_t)0x3ef2, (q15_t)0x4b9e, (q15_t)0x3ef0, (q15_t)0x4bab, (q15_t)0x3eed,
+ (q15_t)0x4bb7, (q15_t)0x3eeb, (q15_t)0x4bc3, (q15_t)0x3ee9, (q15_t)0x4bd0, (q15_t)0x3ee7, (q15_t)0x4bdc, (q15_t)0x3ee4,
+ (q15_t)0x4be8, (q15_t)0x3ee2, (q15_t)0x4bf5, (q15_t)0x3ee0, (q15_t)0x4c01, (q15_t)0x3edd, (q15_t)0x4c0d, (q15_t)0x3edb,
+ (q15_t)0x4c1a, (q15_t)0x3ed8, (q15_t)0x4c26, (q15_t)0x3ed6, (q15_t)0x4c32, (q15_t)0x3ed4, (q15_t)0x4c3f, (q15_t)0x3ed1,
+ (q15_t)0x4c4b, (q15_t)0x3ecf, (q15_t)0x4c57, (q15_t)0x3ecc, (q15_t)0x4c64, (q15_t)0x3eca, (q15_t)0x4c70, (q15_t)0x3ec8,
+ (q15_t)0x4c7c, (q15_t)0x3ec5, (q15_t)0x4c89, (q15_t)0x3ec3, (q15_t)0x4c95, (q15_t)0x3ec0, (q15_t)0x4ca1, (q15_t)0x3ebe,
+ (q15_t)0x4cae, (q15_t)0x3ebb, (q15_t)0x4cba, (q15_t)0x3eb9, (q15_t)0x4cc6, (q15_t)0x3eb6, (q15_t)0x4cd3, (q15_t)0x3eb4,
+ (q15_t)0x4cdf, (q15_t)0x3eb1, (q15_t)0x4ceb, (q15_t)0x3eaf, (q15_t)0x4cf8, (q15_t)0x3eac, (q15_t)0x4d04, (q15_t)0x3eaa,
+ (q15_t)0x4d10, (q15_t)0x3ea7, (q15_t)0x4d1c, (q15_t)0x3ea5, (q15_t)0x4d29, (q15_t)0x3ea2, (q15_t)0x4d35, (q15_t)0x3e9f,
+ (q15_t)0x4d41, (q15_t)0x3e9d, (q15_t)0x4d4e, (q15_t)0x3e9a, (q15_t)0x4d5a, (q15_t)0x3e98, (q15_t)0x4d66, (q15_t)0x3e95,
+ (q15_t)0x4d72, (q15_t)0x3e92, (q15_t)0x4d7f, (q15_t)0x3e90, (q15_t)0x4d8b, (q15_t)0x3e8d, (q15_t)0x4d97, (q15_t)0x3e8a,
+ (q15_t)0x4da4, (q15_t)0x3e88, (q15_t)0x4db0, (q15_t)0x3e85, (q15_t)0x4dbc, (q15_t)0x3e82, (q15_t)0x4dc8, (q15_t)0x3e80,
+ (q15_t)0x4dd5, (q15_t)0x3e7d, (q15_t)0x4de1, (q15_t)0x3e7a, (q15_t)0x4ded, (q15_t)0x3e77, (q15_t)0x4df9, (q15_t)0x3e75,
+ (q15_t)0x4e06, (q15_t)0x3e72, (q15_t)0x4e12, (q15_t)0x3e6f, (q15_t)0x4e1e, (q15_t)0x3e6c, (q15_t)0x4e2b, (q15_t)0x3e6a,
+ (q15_t)0x4e37, (q15_t)0x3e67, (q15_t)0x4e43, (q15_t)0x3e64, (q15_t)0x4e4f, (q15_t)0x3e61, (q15_t)0x4e5c, (q15_t)0x3e5e,
+ (q15_t)0x4e68, (q15_t)0x3e5c, (q15_t)0x4e74, (q15_t)0x3e59, (q15_t)0x4e80, (q15_t)0x3e56, (q15_t)0x4e8c, (q15_t)0x3e53,
+ (q15_t)0x4e99, (q15_t)0x3e50, (q15_t)0x4ea5, (q15_t)0x3e4d, (q15_t)0x4eb1, (q15_t)0x3e4a, (q15_t)0x4ebd, (q15_t)0x3e48,
+ (q15_t)0x4eca, (q15_t)0x3e45, (q15_t)0x4ed6, (q15_t)0x3e42, (q15_t)0x4ee2, (q15_t)0x3e3f, (q15_t)0x4eee, (q15_t)0x3e3c,
+ (q15_t)0x4efb, (q15_t)0x3e39, (q15_t)0x4f07, (q15_t)0x3e36, (q15_t)0x4f13, (q15_t)0x3e33, (q15_t)0x4f1f, (q15_t)0x3e30,
+ (q15_t)0x4f2b, (q15_t)0x3e2d, (q15_t)0x4f38, (q15_t)0x3e2a, (q15_t)0x4f44, (q15_t)0x3e27, (q15_t)0x4f50, (q15_t)0x3e24,
+ (q15_t)0x4f5c, (q15_t)0x3e21, (q15_t)0x4f68, (q15_t)0x3e1e, (q15_t)0x4f75, (q15_t)0x3e1b, (q15_t)0x4f81, (q15_t)0x3e18,
+ (q15_t)0x4f8d, (q15_t)0x3e15, (q15_t)0x4f99, (q15_t)0x3e12, (q15_t)0x4fa5, (q15_t)0x3e0f, (q15_t)0x4fb2, (q15_t)0x3e0c,
+ (q15_t)0x4fbe, (q15_t)0x3e09, (q15_t)0x4fca, (q15_t)0x3e06, (q15_t)0x4fd6, (q15_t)0x3e03, (q15_t)0x4fe2, (q15_t)0x3dff,
+ (q15_t)0x4fee, (q15_t)0x3dfc, (q15_t)0x4ffb, (q15_t)0x3df9, (q15_t)0x5007, (q15_t)0x3df6, (q15_t)0x5013, (q15_t)0x3df3,
+ (q15_t)0x501f, (q15_t)0x3df0, (q15_t)0x502b, (q15_t)0x3ded, (q15_t)0x5037, (q15_t)0x3de9, (q15_t)0x5044, (q15_t)0x3de6,
+ (q15_t)0x5050, (q15_t)0x3de3, (q15_t)0x505c, (q15_t)0x3de0, (q15_t)0x5068, (q15_t)0x3ddd, (q15_t)0x5074, (q15_t)0x3dd9,
+ (q15_t)0x5080, (q15_t)0x3dd6, (q15_t)0x508c, (q15_t)0x3dd3, (q15_t)0x5099, (q15_t)0x3dd0, (q15_t)0x50a5, (q15_t)0x3dcc,
+ (q15_t)0x50b1, (q15_t)0x3dc9, (q15_t)0x50bd, (q15_t)0x3dc6, (q15_t)0x50c9, (q15_t)0x3dc2, (q15_t)0x50d5, (q15_t)0x3dbf,
+ (q15_t)0x50e1, (q15_t)0x3dbc, (q15_t)0x50ed, (q15_t)0x3db9, (q15_t)0x50fa, (q15_t)0x3db5, (q15_t)0x5106, (q15_t)0x3db2,
+ (q15_t)0x5112, (q15_t)0x3daf, (q15_t)0x511e, (q15_t)0x3dab, (q15_t)0x512a, (q15_t)0x3da8, (q15_t)0x5136, (q15_t)0x3da4,
+ (q15_t)0x5142, (q15_t)0x3da1, (q15_t)0x514e, (q15_t)0x3d9e, (q15_t)0x515a, (q15_t)0x3d9a, (q15_t)0x5167, (q15_t)0x3d97,
+ (q15_t)0x5173, (q15_t)0x3d93, (q15_t)0x517f, (q15_t)0x3d90, (q15_t)0x518b, (q15_t)0x3d8d, (q15_t)0x5197, (q15_t)0x3d89,
+ (q15_t)0x51a3, (q15_t)0x3d86, (q15_t)0x51af, (q15_t)0x3d82, (q15_t)0x51bb, (q15_t)0x3d7f, (q15_t)0x51c7, (q15_t)0x3d7b,
+ (q15_t)0x51d3, (q15_t)0x3d78, (q15_t)0x51df, (q15_t)0x3d74, (q15_t)0x51eb, (q15_t)0x3d71, (q15_t)0x51f7, (q15_t)0x3d6d,
+ (q15_t)0x5204, (q15_t)0x3d6a, (q15_t)0x5210, (q15_t)0x3d66, (q15_t)0x521c, (q15_t)0x3d63, (q15_t)0x5228, (q15_t)0x3d5f,
+ (q15_t)0x5234, (q15_t)0x3d5b, (q15_t)0x5240, (q15_t)0x3d58, (q15_t)0x524c, (q15_t)0x3d54, (q15_t)0x5258, (q15_t)0x3d51,
+ (q15_t)0x5264, (q15_t)0x3d4d, (q15_t)0x5270, (q15_t)0x3d49, (q15_t)0x527c, (q15_t)0x3d46, (q15_t)0x5288, (q15_t)0x3d42,
+ (q15_t)0x5294, (q15_t)0x3d3f, (q15_t)0x52a0, (q15_t)0x3d3b, (q15_t)0x52ac, (q15_t)0x3d37, (q15_t)0x52b8, (q15_t)0x3d34,
+ (q15_t)0x52c4, (q15_t)0x3d30, (q15_t)0x52d0, (q15_t)0x3d2c, (q15_t)0x52dc, (q15_t)0x3d28, (q15_t)0x52e8, (q15_t)0x3d25,
+ (q15_t)0x52f4, (q15_t)0x3d21, (q15_t)0x5300, (q15_t)0x3d1d, (q15_t)0x530c, (q15_t)0x3d1a, (q15_t)0x5318, (q15_t)0x3d16,
+ (q15_t)0x5324, (q15_t)0x3d12, (q15_t)0x5330, (q15_t)0x3d0e, (q15_t)0x533c, (q15_t)0x3d0b, (q15_t)0x5348, (q15_t)0x3d07,
+ (q15_t)0x5354, (q15_t)0x3d03, (q15_t)0x5360, (q15_t)0x3cff, (q15_t)0x536c, (q15_t)0x3cfb, (q15_t)0x5378, (q15_t)0x3cf8,
+ (q15_t)0x5384, (q15_t)0x3cf4, (q15_t)0x5390, (q15_t)0x3cf0, (q15_t)0x539c, (q15_t)0x3cec, (q15_t)0x53a8, (q15_t)0x3ce8,
+ (q15_t)0x53b4, (q15_t)0x3ce4, (q15_t)0x53c0, (q15_t)0x3ce0, (q15_t)0x53cc, (q15_t)0x3cdd, (q15_t)0x53d8, (q15_t)0x3cd9,
+ (q15_t)0x53e4, (q15_t)0x3cd5, (q15_t)0x53f0, (q15_t)0x3cd1, (q15_t)0x53fb, (q15_t)0x3ccd, (q15_t)0x5407, (q15_t)0x3cc9,
+ (q15_t)0x5413, (q15_t)0x3cc5, (q15_t)0x541f, (q15_t)0x3cc1, (q15_t)0x542b, (q15_t)0x3cbd, (q15_t)0x5437, (q15_t)0x3cb9,
+ (q15_t)0x5443, (q15_t)0x3cb5, (q15_t)0x544f, (q15_t)0x3cb1, (q15_t)0x545b, (q15_t)0x3cad, (q15_t)0x5467, (q15_t)0x3ca9,
+ (q15_t)0x5473, (q15_t)0x3ca5, (q15_t)0x547f, (q15_t)0x3ca1, (q15_t)0x548b, (q15_t)0x3c9d, (q15_t)0x5496, (q15_t)0x3c99,
+ (q15_t)0x54a2, (q15_t)0x3c95, (q15_t)0x54ae, (q15_t)0x3c91, (q15_t)0x54ba, (q15_t)0x3c8d, (q15_t)0x54c6, (q15_t)0x3c89,
+ (q15_t)0x54d2, (q15_t)0x3c85, (q15_t)0x54de, (q15_t)0x3c81, (q15_t)0x54ea, (q15_t)0x3c7d, (q15_t)0x54f6, (q15_t)0x3c79,
+ (q15_t)0x5501, (q15_t)0x3c74, (q15_t)0x550d, (q15_t)0x3c70, (q15_t)0x5519, (q15_t)0x3c6c, (q15_t)0x5525, (q15_t)0x3c68,
+ (q15_t)0x5531, (q15_t)0x3c64, (q15_t)0x553d, (q15_t)0x3c60, (q15_t)0x5549, (q15_t)0x3c5b, (q15_t)0x5554, (q15_t)0x3c57,
+ (q15_t)0x5560, (q15_t)0x3c53, (q15_t)0x556c, (q15_t)0x3c4f, (q15_t)0x5578, (q15_t)0x3c4b, (q15_t)0x5584, (q15_t)0x3c46,
+ (q15_t)0x5590, (q15_t)0x3c42, (q15_t)0x559b, (q15_t)0x3c3e, (q15_t)0x55a7, (q15_t)0x3c3a, (q15_t)0x55b3, (q15_t)0x3c36,
+ (q15_t)0x55bf, (q15_t)0x3c31, (q15_t)0x55cb, (q15_t)0x3c2d, (q15_t)0x55d7, (q15_t)0x3c29, (q15_t)0x55e2, (q15_t)0x3c24,
+ (q15_t)0x55ee, (q15_t)0x3c20, (q15_t)0x55fa, (q15_t)0x3c1c, (q15_t)0x5606, (q15_t)0x3c17, (q15_t)0x5612, (q15_t)0x3c13,
+ (q15_t)0x561d, (q15_t)0x3c0f, (q15_t)0x5629, (q15_t)0x3c0a, (q15_t)0x5635, (q15_t)0x3c06, (q15_t)0x5641, (q15_t)0x3c02,
+ (q15_t)0x564c, (q15_t)0x3bfd, (q15_t)0x5658, (q15_t)0x3bf9, (q15_t)0x5664, (q15_t)0x3bf5, (q15_t)0x5670, (q15_t)0x3bf0,
+ (q15_t)0x567c, (q15_t)0x3bec, (q15_t)0x5687, (q15_t)0x3be7, (q15_t)0x5693, (q15_t)0x3be3, (q15_t)0x569f, (q15_t)0x3bde,
+ (q15_t)0x56ab, (q15_t)0x3bda, (q15_t)0x56b6, (q15_t)0x3bd6, (q15_t)0x56c2, (q15_t)0x3bd1, (q15_t)0x56ce, (q15_t)0x3bcd,
+ (q15_t)0x56da, (q15_t)0x3bc8, (q15_t)0x56e5, (q15_t)0x3bc4, (q15_t)0x56f1, (q15_t)0x3bbf, (q15_t)0x56fd, (q15_t)0x3bbb,
+ (q15_t)0x5709, (q15_t)0x3bb6, (q15_t)0x5714, (q15_t)0x3bb2, (q15_t)0x5720, (q15_t)0x3bad, (q15_t)0x572c, (q15_t)0x3ba9,
+ (q15_t)0x5737, (q15_t)0x3ba4, (q15_t)0x5743, (q15_t)0x3b9f, (q15_t)0x574f, (q15_t)0x3b9b, (q15_t)0x575b, (q15_t)0x3b96,
+ (q15_t)0x5766, (q15_t)0x3b92, (q15_t)0x5772, (q15_t)0x3b8d, (q15_t)0x577e, (q15_t)0x3b88, (q15_t)0x5789, (q15_t)0x3b84,
+ (q15_t)0x5795, (q15_t)0x3b7f, (q15_t)0x57a1, (q15_t)0x3b7b, (q15_t)0x57ac, (q15_t)0x3b76, (q15_t)0x57b8, (q15_t)0x3b71,
+ (q15_t)0x57c4, (q15_t)0x3b6d, (q15_t)0x57cf, (q15_t)0x3b68, (q15_t)0x57db, (q15_t)0x3b63, (q15_t)0x57e7, (q15_t)0x3b5f,
+ (q15_t)0x57f2, (q15_t)0x3b5a, (q15_t)0x57fe, (q15_t)0x3b55, (q15_t)0x580a, (q15_t)0x3b50, (q15_t)0x5815, (q15_t)0x3b4c,
+ (q15_t)0x5821, (q15_t)0x3b47, (q15_t)0x582d, (q15_t)0x3b42, (q15_t)0x5838, (q15_t)0x3b3e, (q15_t)0x5844, (q15_t)0x3b39,
+ (q15_t)0x584f, (q15_t)0x3b34, (q15_t)0x585b, (q15_t)0x3b2f, (q15_t)0x5867, (q15_t)0x3b2a, (q15_t)0x5872, (q15_t)0x3b26,
+ (q15_t)0x587e, (q15_t)0x3b21, (q15_t)0x5889, (q15_t)0x3b1c, (q15_t)0x5895, (q15_t)0x3b17, (q15_t)0x58a1, (q15_t)0x3b12,
+ (q15_t)0x58ac, (q15_t)0x3b0e, (q15_t)0x58b8, (q15_t)0x3b09, (q15_t)0x58c3, (q15_t)0x3b04, (q15_t)0x58cf, (q15_t)0x3aff,
+ (q15_t)0x58db, (q15_t)0x3afa, (q15_t)0x58e6, (q15_t)0x3af5, (q15_t)0x58f2, (q15_t)0x3af0, (q15_t)0x58fd, (q15_t)0x3aeb,
+ (q15_t)0x5909, (q15_t)0x3ae6, (q15_t)0x5914, (q15_t)0x3ae2, (q15_t)0x5920, (q15_t)0x3add, (q15_t)0x592c, (q15_t)0x3ad8,
+ (q15_t)0x5937, (q15_t)0x3ad3, (q15_t)0x5943, (q15_t)0x3ace, (q15_t)0x594e, (q15_t)0x3ac9, (q15_t)0x595a, (q15_t)0x3ac4,
+ (q15_t)0x5965, (q15_t)0x3abf, (q15_t)0x5971, (q15_t)0x3aba, (q15_t)0x597c, (q15_t)0x3ab5, (q15_t)0x5988, (q15_t)0x3ab0,
+ (q15_t)0x5993, (q15_t)0x3aab, (q15_t)0x599f, (q15_t)0x3aa6, (q15_t)0x59aa, (q15_t)0x3aa1, (q15_t)0x59b6, (q15_t)0x3a9c,
+ (q15_t)0x59c1, (q15_t)0x3a97, (q15_t)0x59cd, (q15_t)0x3a92, (q15_t)0x59d8, (q15_t)0x3a8d, (q15_t)0x59e4, (q15_t)0x3a88,
+ (q15_t)0x59ef, (q15_t)0x3a82, (q15_t)0x59fb, (q15_t)0x3a7d, (q15_t)0x5a06, (q15_t)0x3a78, (q15_t)0x5a12, (q15_t)0x3a73,
+ (q15_t)0x5a1d, (q15_t)0x3a6e, (q15_t)0x5a29, (q15_t)0x3a69, (q15_t)0x5a34, (q15_t)0x3a64, (q15_t)0x5a40, (q15_t)0x3a5f,
+ (q15_t)0x5a4b, (q15_t)0x3a59, (q15_t)0x5a57, (q15_t)0x3a54, (q15_t)0x5a62, (q15_t)0x3a4f, (q15_t)0x5a6e, (q15_t)0x3a4a,
+ (q15_t)0x5a79, (q15_t)0x3a45, (q15_t)0x5a84, (q15_t)0x3a3f, (q15_t)0x5a90, (q15_t)0x3a3a, (q15_t)0x5a9b, (q15_t)0x3a35,
+ (q15_t)0x5aa7, (q15_t)0x3a30, (q15_t)0x5ab2, (q15_t)0x3a2b, (q15_t)0x5abe, (q15_t)0x3a25, (q15_t)0x5ac9, (q15_t)0x3a20,
+ (q15_t)0x5ad4, (q15_t)0x3a1b, (q15_t)0x5ae0, (q15_t)0x3a16, (q15_t)0x5aeb, (q15_t)0x3a10, (q15_t)0x5af7, (q15_t)0x3a0b,
+ (q15_t)0x5b02, (q15_t)0x3a06, (q15_t)0x5b0d, (q15_t)0x3a00, (q15_t)0x5b19, (q15_t)0x39fb, (q15_t)0x5b24, (q15_t)0x39f6,
+ (q15_t)0x5b30, (q15_t)0x39f0, (q15_t)0x5b3b, (q15_t)0x39eb, (q15_t)0x5b46, (q15_t)0x39e6, (q15_t)0x5b52, (q15_t)0x39e0,
+ (q15_t)0x5b5d, (q15_t)0x39db, (q15_t)0x5b68, (q15_t)0x39d6, (q15_t)0x5b74, (q15_t)0x39d0, (q15_t)0x5b7f, (q15_t)0x39cb,
+ (q15_t)0x5b8a, (q15_t)0x39c5, (q15_t)0x5b96, (q15_t)0x39c0, (q15_t)0x5ba1, (q15_t)0x39bb, (q15_t)0x5bac, (q15_t)0x39b5,
+ (q15_t)0x5bb8, (q15_t)0x39b0, (q15_t)0x5bc3, (q15_t)0x39aa, (q15_t)0x5bce, (q15_t)0x39a5, (q15_t)0x5bda, (q15_t)0x399f,
+ (q15_t)0x5be5, (q15_t)0x399a, (q15_t)0x5bf0, (q15_t)0x3994, (q15_t)0x5bfc, (q15_t)0x398f, (q15_t)0x5c07, (q15_t)0x3989,
+ (q15_t)0x5c12, (q15_t)0x3984, (q15_t)0x5c1e, (q15_t)0x397e, (q15_t)0x5c29, (q15_t)0x3979, (q15_t)0x5c34, (q15_t)0x3973,
+ (q15_t)0x5c3f, (q15_t)0x396e, (q15_t)0x5c4b, (q15_t)0x3968, (q15_t)0x5c56, (q15_t)0x3963, (q15_t)0x5c61, (q15_t)0x395d,
+ (q15_t)0x5c6c, (q15_t)0x3958, (q15_t)0x5c78, (q15_t)0x3952, (q15_t)0x5c83, (q15_t)0x394c, (q15_t)0x5c8e, (q15_t)0x3947,
+ (q15_t)0x5c99, (q15_t)0x3941, (q15_t)0x5ca5, (q15_t)0x393b, (q15_t)0x5cb0, (q15_t)0x3936, (q15_t)0x5cbb, (q15_t)0x3930,
+ (q15_t)0x5cc6, (q15_t)0x392b, (q15_t)0x5cd2, (q15_t)0x3925, (q15_t)0x5cdd, (q15_t)0x391f, (q15_t)0x5ce8, (q15_t)0x391a,
+ (q15_t)0x5cf3, (q15_t)0x3914, (q15_t)0x5cff, (q15_t)0x390e, (q15_t)0x5d0a, (q15_t)0x3909, (q15_t)0x5d15, (q15_t)0x3903,
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+ (q15_t)0x6a65, (q15_t)0x2ff2, (q15_t)0x6a6e, (q15_t)0x2fea, (q15_t)0x6a78, (q15_t)0x2fe1, (q15_t)0x6a81, (q15_t)0x2fd9,
+ (q15_t)0x6a8b, (q15_t)0x2fd0, (q15_t)0x6a94, (q15_t)0x2fc8, (q15_t)0x6a9d, (q15_t)0x2fc0, (q15_t)0x6aa7, (q15_t)0x2fb7,
+ (q15_t)0x6ab0, (q15_t)0x2faf, (q15_t)0x6ab9, (q15_t)0x2fa7, (q15_t)0x6ac3, (q15_t)0x2f9e, (q15_t)0x6acc, (q15_t)0x2f96,
+ (q15_t)0x6ad6, (q15_t)0x2f8d, (q15_t)0x6adf, (q15_t)0x2f85, (q15_t)0x6ae8, (q15_t)0x2f7d, (q15_t)0x6af2, (q15_t)0x2f74,
+ (q15_t)0x6afb, (q15_t)0x2f6c, (q15_t)0x6b04, (q15_t)0x2f63, (q15_t)0x6b0d, (q15_t)0x2f5b, (q15_t)0x6b17, (q15_t)0x2f52,
+ (q15_t)0x6b20, (q15_t)0x2f4a, (q15_t)0x6b29, (q15_t)0x2f41, (q15_t)0x6b33, (q15_t)0x2f39, (q15_t)0x6b3c, (q15_t)0x2f30,
+ (q15_t)0x6b45, (q15_t)0x2f28, (q15_t)0x6b4e, (q15_t)0x2f20, (q15_t)0x6b58, (q15_t)0x2f17, (q15_t)0x6b61, (q15_t)0x2f0e,
+ (q15_t)0x6b6a, (q15_t)0x2f06, (q15_t)0x6b73, (q15_t)0x2efd, (q15_t)0x6b7d, (q15_t)0x2ef5, (q15_t)0x6b86, (q15_t)0x2eec,
+ (q15_t)0x6b8f, (q15_t)0x2ee4, (q15_t)0x6b98, (q15_t)0x2edb, (q15_t)0x6ba1, (q15_t)0x2ed3, (q15_t)0x6bab, (q15_t)0x2eca,
+ (q15_t)0x6bb4, (q15_t)0x2ec2, (q15_t)0x6bbd, (q15_t)0x2eb9, (q15_t)0x6bc6, (q15_t)0x2eb0, (q15_t)0x6bcf, (q15_t)0x2ea8,
+ (q15_t)0x6bd8, (q15_t)0x2e9f, (q15_t)0x6be2, (q15_t)0x2e97, (q15_t)0x6beb, (q15_t)0x2e8e, (q15_t)0x6bf4, (q15_t)0x2e85,
+ (q15_t)0x6bfd, (q15_t)0x2e7d, (q15_t)0x6c06, (q15_t)0x2e74, (q15_t)0x6c0f, (q15_t)0x2e6b, (q15_t)0x6c18, (q15_t)0x2e63,
+ (q15_t)0x6c21, (q15_t)0x2e5a, (q15_t)0x6c2b, (q15_t)0x2e51, (q15_t)0x6c34, (q15_t)0x2e49, (q15_t)0x6c3d, (q15_t)0x2e40,
+ (q15_t)0x6c46, (q15_t)0x2e37, (q15_t)0x6c4f, (q15_t)0x2e2f, (q15_t)0x6c58, (q15_t)0x2e26, (q15_t)0x6c61, (q15_t)0x2e1d,
+ (q15_t)0x6c6a, (q15_t)0x2e15, (q15_t)0x6c73, (q15_t)0x2e0c, (q15_t)0x6c7c, (q15_t)0x2e03, (q15_t)0x6c85, (q15_t)0x2dfa,
+ (q15_t)0x6c8e, (q15_t)0x2df2, (q15_t)0x6c97, (q15_t)0x2de9, (q15_t)0x6ca0, (q15_t)0x2de0, (q15_t)0x6ca9, (q15_t)0x2dd7,
+ (q15_t)0x6cb2, (q15_t)0x2dcf, (q15_t)0x6cbb, (q15_t)0x2dc6, (q15_t)0x6cc4, (q15_t)0x2dbd, (q15_t)0x6ccd, (q15_t)0x2db4,
+ (q15_t)0x6cd6, (q15_t)0x2dab, (q15_t)0x6cdf, (q15_t)0x2da3, (q15_t)0x6ce8, (q15_t)0x2d9a, (q15_t)0x6cf1, (q15_t)0x2d91,
+ (q15_t)0x6cfa, (q15_t)0x2d88, (q15_t)0x6d03, (q15_t)0x2d7f, (q15_t)0x6d0c, (q15_t)0x2d76, (q15_t)0x6d15, (q15_t)0x2d6e,
+ (q15_t)0x6d1e, (q15_t)0x2d65, (q15_t)0x6d27, (q15_t)0x2d5c, (q15_t)0x6d2f, (q15_t)0x2d53, (q15_t)0x6d38, (q15_t)0x2d4a,
+ (q15_t)0x6d41, (q15_t)0x2d41, (q15_t)0x6d4a, (q15_t)0x2d38, (q15_t)0x6d53, (q15_t)0x2d2f, (q15_t)0x6d5c, (q15_t)0x2d27,
+ (q15_t)0x6d65, (q15_t)0x2d1e, (q15_t)0x6d6e, (q15_t)0x2d15, (q15_t)0x6d76, (q15_t)0x2d0c, (q15_t)0x6d7f, (q15_t)0x2d03,
+ (q15_t)0x6d88, (q15_t)0x2cfa, (q15_t)0x6d91, (q15_t)0x2cf1, (q15_t)0x6d9a, (q15_t)0x2ce8, (q15_t)0x6da3, (q15_t)0x2cdf,
+ (q15_t)0x6dab, (q15_t)0x2cd6, (q15_t)0x6db4, (q15_t)0x2ccd, (q15_t)0x6dbd, (q15_t)0x2cc4, (q15_t)0x6dc6, (q15_t)0x2cbb,
+ (q15_t)0x6dcf, (q15_t)0x2cb2, (q15_t)0x6dd7, (q15_t)0x2ca9, (q15_t)0x6de0, (q15_t)0x2ca0, (q15_t)0x6de9, (q15_t)0x2c97,
+ (q15_t)0x6df2, (q15_t)0x2c8e, (q15_t)0x6dfa, (q15_t)0x2c85, (q15_t)0x6e03, (q15_t)0x2c7c, (q15_t)0x6e0c, (q15_t)0x2c73,
+ (q15_t)0x6e15, (q15_t)0x2c6a, (q15_t)0x6e1d, (q15_t)0x2c61, (q15_t)0x6e26, (q15_t)0x2c58, (q15_t)0x6e2f, (q15_t)0x2c4f,
+ (q15_t)0x6e37, (q15_t)0x2c46, (q15_t)0x6e40, (q15_t)0x2c3d, (q15_t)0x6e49, (q15_t)0x2c34, (q15_t)0x6e51, (q15_t)0x2c2b,
+ (q15_t)0x6e5a, (q15_t)0x2c21, (q15_t)0x6e63, (q15_t)0x2c18, (q15_t)0x6e6b, (q15_t)0x2c0f, (q15_t)0x6e74, (q15_t)0x2c06,
+ (q15_t)0x6e7d, (q15_t)0x2bfd, (q15_t)0x6e85, (q15_t)0x2bf4, (q15_t)0x6e8e, (q15_t)0x2beb, (q15_t)0x6e97, (q15_t)0x2be2,
+ (q15_t)0x6e9f, (q15_t)0x2bd8, (q15_t)0x6ea8, (q15_t)0x2bcf, (q15_t)0x6eb0, (q15_t)0x2bc6, (q15_t)0x6eb9, (q15_t)0x2bbd,
+ (q15_t)0x6ec2, (q15_t)0x2bb4, (q15_t)0x6eca, (q15_t)0x2bab, (q15_t)0x6ed3, (q15_t)0x2ba1, (q15_t)0x6edb, (q15_t)0x2b98,
+ (q15_t)0x6ee4, (q15_t)0x2b8f, (q15_t)0x6eec, (q15_t)0x2b86, (q15_t)0x6ef5, (q15_t)0x2b7d, (q15_t)0x6efd, (q15_t)0x2b73,
+ (q15_t)0x6f06, (q15_t)0x2b6a, (q15_t)0x6f0e, (q15_t)0x2b61, (q15_t)0x6f17, (q15_t)0x2b58, (q15_t)0x6f20, (q15_t)0x2b4e,
+ (q15_t)0x6f28, (q15_t)0x2b45, (q15_t)0x6f30, (q15_t)0x2b3c, (q15_t)0x6f39, (q15_t)0x2b33, (q15_t)0x6f41, (q15_t)0x2b29,
+ (q15_t)0x6f4a, (q15_t)0x2b20, (q15_t)0x6f52, (q15_t)0x2b17, (q15_t)0x6f5b, (q15_t)0x2b0d, (q15_t)0x6f63, (q15_t)0x2b04,
+ (q15_t)0x6f6c, (q15_t)0x2afb, (q15_t)0x6f74, (q15_t)0x2af2, (q15_t)0x6f7d, (q15_t)0x2ae8, (q15_t)0x6f85, (q15_t)0x2adf,
+ (q15_t)0x6f8d, (q15_t)0x2ad6, (q15_t)0x6f96, (q15_t)0x2acc, (q15_t)0x6f9e, (q15_t)0x2ac3, (q15_t)0x6fa7, (q15_t)0x2ab9,
+ (q15_t)0x6faf, (q15_t)0x2ab0, (q15_t)0x6fb7, (q15_t)0x2aa7, (q15_t)0x6fc0, (q15_t)0x2a9d, (q15_t)0x6fc8, (q15_t)0x2a94,
+ (q15_t)0x6fd0, (q15_t)0x2a8b, (q15_t)0x6fd9, (q15_t)0x2a81, (q15_t)0x6fe1, (q15_t)0x2a78, (q15_t)0x6fea, (q15_t)0x2a6e,
+ (q15_t)0x6ff2, (q15_t)0x2a65, (q15_t)0x6ffa, (q15_t)0x2a5c, (q15_t)0x7002, (q15_t)0x2a52, (q15_t)0x700b, (q15_t)0x2a49,
+ (q15_t)0x7013, (q15_t)0x2a3f, (q15_t)0x701b, (q15_t)0x2a36, (q15_t)0x7024, (q15_t)0x2a2c, (q15_t)0x702c, (q15_t)0x2a23,
+ (q15_t)0x7034, (q15_t)0x2a1a, (q15_t)0x703c, (q15_t)0x2a10, (q15_t)0x7045, (q15_t)0x2a07, (q15_t)0x704d, (q15_t)0x29fd,
+ (q15_t)0x7055, (q15_t)0x29f4, (q15_t)0x705d, (q15_t)0x29ea, (q15_t)0x7066, (q15_t)0x29e1, (q15_t)0x706e, (q15_t)0x29d7,
+ (q15_t)0x7076, (q15_t)0x29ce, (q15_t)0x707e, (q15_t)0x29c4, (q15_t)0x7087, (q15_t)0x29bb, (q15_t)0x708f, (q15_t)0x29b1,
+ (q15_t)0x7097, (q15_t)0x29a7, (q15_t)0x709f, (q15_t)0x299e, (q15_t)0x70a7, (q15_t)0x2994, (q15_t)0x70af, (q15_t)0x298b,
+ (q15_t)0x70b8, (q15_t)0x2981, (q15_t)0x70c0, (q15_t)0x2978, (q15_t)0x70c8, (q15_t)0x296e, (q15_t)0x70d0, (q15_t)0x2965,
+ (q15_t)0x70d8, (q15_t)0x295b, (q15_t)0x70e0, (q15_t)0x2951, (q15_t)0x70e8, (q15_t)0x2948, (q15_t)0x70f0, (q15_t)0x293e,
+ (q15_t)0x70f9, (q15_t)0x2935, (q15_t)0x7101, (q15_t)0x292b, (q15_t)0x7109, (q15_t)0x2921, (q15_t)0x7111, (q15_t)0x2918,
+ (q15_t)0x7119, (q15_t)0x290e, (q15_t)0x7121, (q15_t)0x2904, (q15_t)0x7129, (q15_t)0x28fb, (q15_t)0x7131, (q15_t)0x28f1,
+ (q15_t)0x7139, (q15_t)0x28e7, (q15_t)0x7141, (q15_t)0x28de, (q15_t)0x7149, (q15_t)0x28d4, (q15_t)0x7151, (q15_t)0x28ca,
+ (q15_t)0x7159, (q15_t)0x28c1, (q15_t)0x7161, (q15_t)0x28b7, (q15_t)0x7169, (q15_t)0x28ad, (q15_t)0x7171, (q15_t)0x28a4,
+ (q15_t)0x7179, (q15_t)0x289a, (q15_t)0x7181, (q15_t)0x2890, (q15_t)0x7189, (q15_t)0x2886, (q15_t)0x7191, (q15_t)0x287d,
+ (q15_t)0x7199, (q15_t)0x2873, (q15_t)0x71a1, (q15_t)0x2869, (q15_t)0x71a9, (q15_t)0x2860, (q15_t)0x71b1, (q15_t)0x2856,
+ (q15_t)0x71b9, (q15_t)0x284c, (q15_t)0x71c0, (q15_t)0x2842, (q15_t)0x71c8, (q15_t)0x2838, (q15_t)0x71d0, (q15_t)0x282f,
+ (q15_t)0x71d8, (q15_t)0x2825, (q15_t)0x71e0, (q15_t)0x281b, (q15_t)0x71e8, (q15_t)0x2811, (q15_t)0x71f0, (q15_t)0x2808,
+ (q15_t)0x71f8, (q15_t)0x27fe, (q15_t)0x71ff, (q15_t)0x27f4, (q15_t)0x7207, (q15_t)0x27ea, (q15_t)0x720f, (q15_t)0x27e0,
+ (q15_t)0x7217, (q15_t)0x27d6, (q15_t)0x721f, (q15_t)0x27cd, (q15_t)0x7227, (q15_t)0x27c3, (q15_t)0x722e, (q15_t)0x27b9,
+ (q15_t)0x7236, (q15_t)0x27af, (q15_t)0x723e, (q15_t)0x27a5, (q15_t)0x7246, (q15_t)0x279b, (q15_t)0x724e, (q15_t)0x2791,
+ (q15_t)0x7255, (q15_t)0x2788, (q15_t)0x725d, (q15_t)0x277e, (q15_t)0x7265, (q15_t)0x2774, (q15_t)0x726d, (q15_t)0x276a,
+ (q15_t)0x7274, (q15_t)0x2760, (q15_t)0x727c, (q15_t)0x2756, (q15_t)0x7284, (q15_t)0x274c, (q15_t)0x728b, (q15_t)0x2742,
+ (q15_t)0x7293, (q15_t)0x2738, (q15_t)0x729b, (q15_t)0x272e, (q15_t)0x72a3, (q15_t)0x2724, (q15_t)0x72aa, (q15_t)0x271a,
+ (q15_t)0x72b2, (q15_t)0x2711, (q15_t)0x72ba, (q15_t)0x2707, (q15_t)0x72c1, (q15_t)0x26fd, (q15_t)0x72c9, (q15_t)0x26f3,
+ (q15_t)0x72d0, (q15_t)0x26e9, (q15_t)0x72d8, (q15_t)0x26df, (q15_t)0x72e0, (q15_t)0x26d5, (q15_t)0x72e7, (q15_t)0x26cb,
+ (q15_t)0x72ef, (q15_t)0x26c1, (q15_t)0x72f7, (q15_t)0x26b7, (q15_t)0x72fe, (q15_t)0x26ad, (q15_t)0x7306, (q15_t)0x26a3,
+ (q15_t)0x730d, (q15_t)0x2699, (q15_t)0x7315, (q15_t)0x268f, (q15_t)0x731d, (q15_t)0x2685, (q15_t)0x7324, (q15_t)0x267b,
+ (q15_t)0x732c, (q15_t)0x2671, (q15_t)0x7333, (q15_t)0x2666, (q15_t)0x733b, (q15_t)0x265c, (q15_t)0x7342, (q15_t)0x2652,
+ (q15_t)0x734a, (q15_t)0x2648, (q15_t)0x7351, (q15_t)0x263e, (q15_t)0x7359, (q15_t)0x2634, (q15_t)0x7360, (q15_t)0x262a,
+ (q15_t)0x7368, (q15_t)0x2620, (q15_t)0x736f, (q15_t)0x2616, (q15_t)0x7377, (q15_t)0x260c, (q15_t)0x737e, (q15_t)0x2602,
+ (q15_t)0x7386, (q15_t)0x25f8, (q15_t)0x738d, (q15_t)0x25ed, (q15_t)0x7395, (q15_t)0x25e3, (q15_t)0x739c, (q15_t)0x25d9,
+ (q15_t)0x73a3, (q15_t)0x25cf, (q15_t)0x73ab, (q15_t)0x25c5, (q15_t)0x73b2, (q15_t)0x25bb, (q15_t)0x73ba, (q15_t)0x25b1,
+ (q15_t)0x73c1, (q15_t)0x25a6, (q15_t)0x73c8, (q15_t)0x259c, (q15_t)0x73d0, (q15_t)0x2592, (q15_t)0x73d7, (q15_t)0x2588,
+ (q15_t)0x73df, (q15_t)0x257e, (q15_t)0x73e6, (q15_t)0x2574, (q15_t)0x73ed, (q15_t)0x2569, (q15_t)0x73f5, (q15_t)0x255f,
+ (q15_t)0x73fc, (q15_t)0x2555, (q15_t)0x7403, (q15_t)0x254b, (q15_t)0x740b, (q15_t)0x2541, (q15_t)0x7412, (q15_t)0x2536,
+ (q15_t)0x7419, (q15_t)0x252c, (q15_t)0x7420, (q15_t)0x2522, (q15_t)0x7428, (q15_t)0x2518, (q15_t)0x742f, (q15_t)0x250d,
+ (q15_t)0x7436, (q15_t)0x2503, (q15_t)0x743e, (q15_t)0x24f9, (q15_t)0x7445, (q15_t)0x24ef, (q15_t)0x744c, (q15_t)0x24e4,
+ (q15_t)0x7453, (q15_t)0x24da, (q15_t)0x745b, (q15_t)0x24d0, (q15_t)0x7462, (q15_t)0x24c5, (q15_t)0x7469, (q15_t)0x24bb,
+ (q15_t)0x7470, (q15_t)0x24b1, (q15_t)0x7477, (q15_t)0x24a7, (q15_t)0x747f, (q15_t)0x249c, (q15_t)0x7486, (q15_t)0x2492,
+ (q15_t)0x748d, (q15_t)0x2488, (q15_t)0x7494, (q15_t)0x247d, (q15_t)0x749b, (q15_t)0x2473, (q15_t)0x74a2, (q15_t)0x2469,
+ (q15_t)0x74aa, (q15_t)0x245e, (q15_t)0x74b1, (q15_t)0x2454, (q15_t)0x74b8, (q15_t)0x244a, (q15_t)0x74bf, (q15_t)0x243f,
+ (q15_t)0x74c6, (q15_t)0x2435, (q15_t)0x74cd, (q15_t)0x242b, (q15_t)0x74d4, (q15_t)0x2420, (q15_t)0x74db, (q15_t)0x2416,
+ (q15_t)0x74e2, (q15_t)0x240b, (q15_t)0x74ea, (q15_t)0x2401, (q15_t)0x74f1, (q15_t)0x23f7, (q15_t)0x74f8, (q15_t)0x23ec,
+ (q15_t)0x74ff, (q15_t)0x23e2, (q15_t)0x7506, (q15_t)0x23d7, (q15_t)0x750d, (q15_t)0x23cd, (q15_t)0x7514, (q15_t)0x23c3,
+ (q15_t)0x751b, (q15_t)0x23b8, (q15_t)0x7522, (q15_t)0x23ae, (q15_t)0x7529, (q15_t)0x23a3, (q15_t)0x7530, (q15_t)0x2399,
+ (q15_t)0x7537, (q15_t)0x238e, (q15_t)0x753e, (q15_t)0x2384, (q15_t)0x7545, (q15_t)0x237a, (q15_t)0x754c, (q15_t)0x236f,
+ (q15_t)0x7553, (q15_t)0x2365, (q15_t)0x755a, (q15_t)0x235a, (q15_t)0x7561, (q15_t)0x2350, (q15_t)0x7567, (q15_t)0x2345,
+ (q15_t)0x756e, (q15_t)0x233b, (q15_t)0x7575, (q15_t)0x2330, (q15_t)0x757c, (q15_t)0x2326, (q15_t)0x7583, (q15_t)0x231b,
+ (q15_t)0x758a, (q15_t)0x2311, (q15_t)0x7591, (q15_t)0x2306, (q15_t)0x7598, (q15_t)0x22fc, (q15_t)0x759f, (q15_t)0x22f1,
+ (q15_t)0x75a5, (q15_t)0x22e7, (q15_t)0x75ac, (q15_t)0x22dc, (q15_t)0x75b3, (q15_t)0x22d2, (q15_t)0x75ba, (q15_t)0x22c7,
+ (q15_t)0x75c1, (q15_t)0x22bc, (q15_t)0x75c8, (q15_t)0x22b2, (q15_t)0x75ce, (q15_t)0x22a7, (q15_t)0x75d5, (q15_t)0x229d,
+ (q15_t)0x75dc, (q15_t)0x2292, (q15_t)0x75e3, (q15_t)0x2288, (q15_t)0x75ea, (q15_t)0x227d, (q15_t)0x75f0, (q15_t)0x2272,
+ (q15_t)0x75f7, (q15_t)0x2268, (q15_t)0x75fe, (q15_t)0x225d, (q15_t)0x7605, (q15_t)0x2253, (q15_t)0x760b, (q15_t)0x2248,
+ (q15_t)0x7612, (q15_t)0x223d, (q15_t)0x7619, (q15_t)0x2233, (q15_t)0x7620, (q15_t)0x2228, (q15_t)0x7626, (q15_t)0x221e,
+ (q15_t)0x762d, (q15_t)0x2213, (q15_t)0x7634, (q15_t)0x2208, (q15_t)0x763a, (q15_t)0x21fe, (q15_t)0x7641, (q15_t)0x21f3,
+ (q15_t)0x7648, (q15_t)0x21e8, (q15_t)0x764e, (q15_t)0x21de, (q15_t)0x7655, (q15_t)0x21d3, (q15_t)0x765c, (q15_t)0x21c8,
+ (q15_t)0x7662, (q15_t)0x21be, (q15_t)0x7669, (q15_t)0x21b3, (q15_t)0x766f, (q15_t)0x21a8, (q15_t)0x7676, (q15_t)0x219e,
+ (q15_t)0x767d, (q15_t)0x2193, (q15_t)0x7683, (q15_t)0x2188, (q15_t)0x768a, (q15_t)0x217d, (q15_t)0x7690, (q15_t)0x2173,
+ (q15_t)0x7697, (q15_t)0x2168, (q15_t)0x769d, (q15_t)0x215d, (q15_t)0x76a4, (q15_t)0x2153, (q15_t)0x76ab, (q15_t)0x2148,
+ (q15_t)0x76b1, (q15_t)0x213d, (q15_t)0x76b8, (q15_t)0x2132, (q15_t)0x76be, (q15_t)0x2128, (q15_t)0x76c5, (q15_t)0x211d,
+ (q15_t)0x76cb, (q15_t)0x2112, (q15_t)0x76d2, (q15_t)0x2107, (q15_t)0x76d8, (q15_t)0x20fd, (q15_t)0x76df, (q15_t)0x20f2,
+ (q15_t)0x76e5, (q15_t)0x20e7, (q15_t)0x76eb, (q15_t)0x20dc, (q15_t)0x76f2, (q15_t)0x20d1, (q15_t)0x76f8, (q15_t)0x20c7,
+ (q15_t)0x76ff, (q15_t)0x20bc, (q15_t)0x7705, (q15_t)0x20b1, (q15_t)0x770c, (q15_t)0x20a6, (q15_t)0x7712, (q15_t)0x209b,
+ (q15_t)0x7718, (q15_t)0x2091, (q15_t)0x771f, (q15_t)0x2086, (q15_t)0x7725, (q15_t)0x207b, (q15_t)0x772c, (q15_t)0x2070,
+ (q15_t)0x7732, (q15_t)0x2065, (q15_t)0x7738, (q15_t)0x205b, (q15_t)0x773f, (q15_t)0x2050, (q15_t)0x7745, (q15_t)0x2045,
+ (q15_t)0x774b, (q15_t)0x203a, (q15_t)0x7752, (q15_t)0x202f, (q15_t)0x7758, (q15_t)0x2024, (q15_t)0x775e, (q15_t)0x2019,
+ (q15_t)0x7765, (q15_t)0x200f, (q15_t)0x776b, (q15_t)0x2004, (q15_t)0x7771, (q15_t)0x1ff9, (q15_t)0x7777, (q15_t)0x1fee,
+ (q15_t)0x777e, (q15_t)0x1fe3, (q15_t)0x7784, (q15_t)0x1fd8, (q15_t)0x778a, (q15_t)0x1fcd, (q15_t)0x7790, (q15_t)0x1fc2,
+ (q15_t)0x7797, (q15_t)0x1fb7, (q15_t)0x779d, (q15_t)0x1fac, (q15_t)0x77a3, (q15_t)0x1fa2, (q15_t)0x77a9, (q15_t)0x1f97,
+ (q15_t)0x77b0, (q15_t)0x1f8c, (q15_t)0x77b6, (q15_t)0x1f81, (q15_t)0x77bc, (q15_t)0x1f76, (q15_t)0x77c2, (q15_t)0x1f6b,
+ (q15_t)0x77c8, (q15_t)0x1f60, (q15_t)0x77ce, (q15_t)0x1f55, (q15_t)0x77d5, (q15_t)0x1f4a, (q15_t)0x77db, (q15_t)0x1f3f,
+ (q15_t)0x77e1, (q15_t)0x1f34, (q15_t)0x77e7, (q15_t)0x1f29, (q15_t)0x77ed, (q15_t)0x1f1e, (q15_t)0x77f3, (q15_t)0x1f13,
+ (q15_t)0x77f9, (q15_t)0x1f08, (q15_t)0x77ff, (q15_t)0x1efd, (q15_t)0x7805, (q15_t)0x1ef2, (q15_t)0x780b, (q15_t)0x1ee7,
+ (q15_t)0x7812, (q15_t)0x1edc, (q15_t)0x7818, (q15_t)0x1ed1, (q15_t)0x781e, (q15_t)0x1ec6, (q15_t)0x7824, (q15_t)0x1ebb,
+ (q15_t)0x782a, (q15_t)0x1eb0, (q15_t)0x7830, (q15_t)0x1ea5, (q15_t)0x7836, (q15_t)0x1e9a, (q15_t)0x783c, (q15_t)0x1e8f,
+ (q15_t)0x7842, (q15_t)0x1e84, (q15_t)0x7848, (q15_t)0x1e79, (q15_t)0x784e, (q15_t)0x1e6e, (q15_t)0x7854, (q15_t)0x1e63,
+ (q15_t)0x785a, (q15_t)0x1e58, (q15_t)0x7860, (q15_t)0x1e4d, (q15_t)0x7866, (q15_t)0x1e42, (q15_t)0x786b, (q15_t)0x1e36,
+ (q15_t)0x7871, (q15_t)0x1e2b, (q15_t)0x7877, (q15_t)0x1e20, (q15_t)0x787d, (q15_t)0x1e15, (q15_t)0x7883, (q15_t)0x1e0a,
+ (q15_t)0x7889, (q15_t)0x1dff, (q15_t)0x788f, (q15_t)0x1df4, (q15_t)0x7895, (q15_t)0x1de9, (q15_t)0x789b, (q15_t)0x1dde,
+ (q15_t)0x78a1, (q15_t)0x1dd3, (q15_t)0x78a6, (q15_t)0x1dc7, (q15_t)0x78ac, (q15_t)0x1dbc, (q15_t)0x78b2, (q15_t)0x1db1,
+ (q15_t)0x78b8, (q15_t)0x1da6, (q15_t)0x78be, (q15_t)0x1d9b, (q15_t)0x78c3, (q15_t)0x1d90, (q15_t)0x78c9, (q15_t)0x1d85,
+ (q15_t)0x78cf, (q15_t)0x1d79, (q15_t)0x78d5, (q15_t)0x1d6e, (q15_t)0x78db, (q15_t)0x1d63, (q15_t)0x78e0, (q15_t)0x1d58,
+ (q15_t)0x78e6, (q15_t)0x1d4d, (q15_t)0x78ec, (q15_t)0x1d42, (q15_t)0x78f2, (q15_t)0x1d36, (q15_t)0x78f7, (q15_t)0x1d2b,
+ (q15_t)0x78fd, (q15_t)0x1d20, (q15_t)0x7903, (q15_t)0x1d15, (q15_t)0x7909, (q15_t)0x1d0a, (q15_t)0x790e, (q15_t)0x1cff,
+ (q15_t)0x7914, (q15_t)0x1cf3, (q15_t)0x791a, (q15_t)0x1ce8, (q15_t)0x791f, (q15_t)0x1cdd, (q15_t)0x7925, (q15_t)0x1cd2,
+ (q15_t)0x792b, (q15_t)0x1cc6, (q15_t)0x7930, (q15_t)0x1cbb, (q15_t)0x7936, (q15_t)0x1cb0, (q15_t)0x793b, (q15_t)0x1ca5,
+ (q15_t)0x7941, (q15_t)0x1c99, (q15_t)0x7947, (q15_t)0x1c8e, (q15_t)0x794c, (q15_t)0x1c83, (q15_t)0x7952, (q15_t)0x1c78,
+ (q15_t)0x7958, (q15_t)0x1c6c, (q15_t)0x795d, (q15_t)0x1c61, (q15_t)0x7963, (q15_t)0x1c56, (q15_t)0x7968, (q15_t)0x1c4b,
+ (q15_t)0x796e, (q15_t)0x1c3f, (q15_t)0x7973, (q15_t)0x1c34, (q15_t)0x7979, (q15_t)0x1c29, (q15_t)0x797e, (q15_t)0x1c1e,
+ (q15_t)0x7984, (q15_t)0x1c12, (q15_t)0x7989, (q15_t)0x1c07, (q15_t)0x798f, (q15_t)0x1bfc, (q15_t)0x7994, (q15_t)0x1bf0,
+ (q15_t)0x799a, (q15_t)0x1be5, (q15_t)0x799f, (q15_t)0x1bda, (q15_t)0x79a5, (q15_t)0x1bce, (q15_t)0x79aa, (q15_t)0x1bc3,
+ (q15_t)0x79b0, (q15_t)0x1bb8, (q15_t)0x79b5, (q15_t)0x1bac, (q15_t)0x79bb, (q15_t)0x1ba1, (q15_t)0x79c0, (q15_t)0x1b96,
+ (q15_t)0x79c5, (q15_t)0x1b8a, (q15_t)0x79cb, (q15_t)0x1b7f, (q15_t)0x79d0, (q15_t)0x1b74, (q15_t)0x79d6, (q15_t)0x1b68,
+ (q15_t)0x79db, (q15_t)0x1b5d, (q15_t)0x79e0, (q15_t)0x1b52, (q15_t)0x79e6, (q15_t)0x1b46, (q15_t)0x79eb, (q15_t)0x1b3b,
+ (q15_t)0x79f0, (q15_t)0x1b30, (q15_t)0x79f6, (q15_t)0x1b24, (q15_t)0x79fb, (q15_t)0x1b19, (q15_t)0x7a00, (q15_t)0x1b0d,
+ (q15_t)0x7a06, (q15_t)0x1b02, (q15_t)0x7a0b, (q15_t)0x1af7, (q15_t)0x7a10, (q15_t)0x1aeb, (q15_t)0x7a16, (q15_t)0x1ae0,
+ (q15_t)0x7a1b, (q15_t)0x1ad4, (q15_t)0x7a20, (q15_t)0x1ac9, (q15_t)0x7a25, (q15_t)0x1abe, (q15_t)0x7a2b, (q15_t)0x1ab2,
+ (q15_t)0x7a30, (q15_t)0x1aa7, (q15_t)0x7a35, (q15_t)0x1a9b, (q15_t)0x7a3a, (q15_t)0x1a90, (q15_t)0x7a3f, (q15_t)0x1a84,
+ (q15_t)0x7a45, (q15_t)0x1a79, (q15_t)0x7a4a, (q15_t)0x1a6e, (q15_t)0x7a4f, (q15_t)0x1a62, (q15_t)0x7a54, (q15_t)0x1a57,
+ (q15_t)0x7a59, (q15_t)0x1a4b, (q15_t)0x7a5f, (q15_t)0x1a40, (q15_t)0x7a64, (q15_t)0x1a34, (q15_t)0x7a69, (q15_t)0x1a29,
+ (q15_t)0x7a6e, (q15_t)0x1a1d, (q15_t)0x7a73, (q15_t)0x1a12, (q15_t)0x7a78, (q15_t)0x1a06, (q15_t)0x7a7d, (q15_t)0x19fb,
+ (q15_t)0x7a82, (q15_t)0x19ef, (q15_t)0x7a88, (q15_t)0x19e4, (q15_t)0x7a8d, (q15_t)0x19d8, (q15_t)0x7a92, (q15_t)0x19cd,
+ (q15_t)0x7a97, (q15_t)0x19c1, (q15_t)0x7a9c, (q15_t)0x19b6, (q15_t)0x7aa1, (q15_t)0x19aa, (q15_t)0x7aa6, (q15_t)0x199f,
+ (q15_t)0x7aab, (q15_t)0x1993, (q15_t)0x7ab0, (q15_t)0x1988, (q15_t)0x7ab5, (q15_t)0x197c, (q15_t)0x7aba, (q15_t)0x1971,
+ (q15_t)0x7abf, (q15_t)0x1965, (q15_t)0x7ac4, (q15_t)0x195a, (q15_t)0x7ac9, (q15_t)0x194e, (q15_t)0x7ace, (q15_t)0x1943,
+ (q15_t)0x7ad3, (q15_t)0x1937, (q15_t)0x7ad8, (q15_t)0x192c, (q15_t)0x7add, (q15_t)0x1920, (q15_t)0x7ae2, (q15_t)0x1914,
+ (q15_t)0x7ae6, (q15_t)0x1909, (q15_t)0x7aeb, (q15_t)0x18fd, (q15_t)0x7af0, (q15_t)0x18f2, (q15_t)0x7af5, (q15_t)0x18e6,
+ (q15_t)0x7afa, (q15_t)0x18db, (q15_t)0x7aff, (q15_t)0x18cf, (q15_t)0x7b04, (q15_t)0x18c3, (q15_t)0x7b09, (q15_t)0x18b8,
+ (q15_t)0x7b0e, (q15_t)0x18ac, (q15_t)0x7b12, (q15_t)0x18a1, (q15_t)0x7b17, (q15_t)0x1895, (q15_t)0x7b1c, (q15_t)0x1889,
+ (q15_t)0x7b21, (q15_t)0x187e, (q15_t)0x7b26, (q15_t)0x1872, (q15_t)0x7b2a, (q15_t)0x1867, (q15_t)0x7b2f, (q15_t)0x185b,
+ (q15_t)0x7b34, (q15_t)0x184f, (q15_t)0x7b39, (q15_t)0x1844, (q15_t)0x7b3e, (q15_t)0x1838, (q15_t)0x7b42, (q15_t)0x182d,
+ (q15_t)0x7b47, (q15_t)0x1821, (q15_t)0x7b4c, (q15_t)0x1815, (q15_t)0x7b50, (q15_t)0x180a, (q15_t)0x7b55, (q15_t)0x17fe,
+ (q15_t)0x7b5a, (q15_t)0x17f2, (q15_t)0x7b5f, (q15_t)0x17e7, (q15_t)0x7b63, (q15_t)0x17db, (q15_t)0x7b68, (q15_t)0x17cf,
+ (q15_t)0x7b6d, (q15_t)0x17c4, (q15_t)0x7b71, (q15_t)0x17b8, (q15_t)0x7b76, (q15_t)0x17ac, (q15_t)0x7b7b, (q15_t)0x17a1,
+ (q15_t)0x7b7f, (q15_t)0x1795, (q15_t)0x7b84, (q15_t)0x1789, (q15_t)0x7b88, (q15_t)0x177e, (q15_t)0x7b8d, (q15_t)0x1772,
+ (q15_t)0x7b92, (q15_t)0x1766, (q15_t)0x7b96, (q15_t)0x175b, (q15_t)0x7b9b, (q15_t)0x174f, (q15_t)0x7b9f, (q15_t)0x1743,
+ (q15_t)0x7ba4, (q15_t)0x1737, (q15_t)0x7ba9, (q15_t)0x172c, (q15_t)0x7bad, (q15_t)0x1720, (q15_t)0x7bb2, (q15_t)0x1714,
+ (q15_t)0x7bb6, (q15_t)0x1709, (q15_t)0x7bbb, (q15_t)0x16fd, (q15_t)0x7bbf, (q15_t)0x16f1, (q15_t)0x7bc4, (q15_t)0x16e5,
+ (q15_t)0x7bc8, (q15_t)0x16da, (q15_t)0x7bcd, (q15_t)0x16ce, (q15_t)0x7bd1, (q15_t)0x16c2, (q15_t)0x7bd6, (q15_t)0x16b6,
+ (q15_t)0x7bda, (q15_t)0x16ab, (q15_t)0x7bde, (q15_t)0x169f, (q15_t)0x7be3, (q15_t)0x1693, (q15_t)0x7be7, (q15_t)0x1687,
+ (q15_t)0x7bec, (q15_t)0x167c, (q15_t)0x7bf0, (q15_t)0x1670, (q15_t)0x7bf5, (q15_t)0x1664, (q15_t)0x7bf9, (q15_t)0x1658,
+ (q15_t)0x7bfd, (q15_t)0x164c, (q15_t)0x7c02, (q15_t)0x1641, (q15_t)0x7c06, (q15_t)0x1635, (q15_t)0x7c0a, (q15_t)0x1629,
+ (q15_t)0x7c0f, (q15_t)0x161d, (q15_t)0x7c13, (q15_t)0x1612, (q15_t)0x7c17, (q15_t)0x1606, (q15_t)0x7c1c, (q15_t)0x15fa,
+ (q15_t)0x7c20, (q15_t)0x15ee, (q15_t)0x7c24, (q15_t)0x15e2, (q15_t)0x7c29, (q15_t)0x15d7, (q15_t)0x7c2d, (q15_t)0x15cb,
+ (q15_t)0x7c31, (q15_t)0x15bf, (q15_t)0x7c36, (q15_t)0x15b3, (q15_t)0x7c3a, (q15_t)0x15a7, (q15_t)0x7c3e, (q15_t)0x159b,
+ (q15_t)0x7c42, (q15_t)0x1590, (q15_t)0x7c46, (q15_t)0x1584, (q15_t)0x7c4b, (q15_t)0x1578, (q15_t)0x7c4f, (q15_t)0x156c,
+ (q15_t)0x7c53, (q15_t)0x1560, (q15_t)0x7c57, (q15_t)0x1554, (q15_t)0x7c5b, (q15_t)0x1549, (q15_t)0x7c60, (q15_t)0x153d,
+ (q15_t)0x7c64, (q15_t)0x1531, (q15_t)0x7c68, (q15_t)0x1525, (q15_t)0x7c6c, (q15_t)0x1519, (q15_t)0x7c70, (q15_t)0x150d,
+ (q15_t)0x7c74, (q15_t)0x1501, (q15_t)0x7c79, (q15_t)0x14f6, (q15_t)0x7c7d, (q15_t)0x14ea, (q15_t)0x7c81, (q15_t)0x14de,
+ (q15_t)0x7c85, (q15_t)0x14d2, (q15_t)0x7c89, (q15_t)0x14c6, (q15_t)0x7c8d, (q15_t)0x14ba, (q15_t)0x7c91, (q15_t)0x14ae,
+ (q15_t)0x7c95, (q15_t)0x14a2, (q15_t)0x7c99, (q15_t)0x1496, (q15_t)0x7c9d, (q15_t)0x148b, (q15_t)0x7ca1, (q15_t)0x147f,
+ (q15_t)0x7ca5, (q15_t)0x1473, (q15_t)0x7ca9, (q15_t)0x1467, (q15_t)0x7cad, (q15_t)0x145b, (q15_t)0x7cb1, (q15_t)0x144f,
+ (q15_t)0x7cb5, (q15_t)0x1443, (q15_t)0x7cb9, (q15_t)0x1437, (q15_t)0x7cbd, (q15_t)0x142b, (q15_t)0x7cc1, (q15_t)0x141f,
+ (q15_t)0x7cc5, (q15_t)0x1413, (q15_t)0x7cc9, (q15_t)0x1407, (q15_t)0x7ccd, (q15_t)0x13fb, (q15_t)0x7cd1, (q15_t)0x13f0,
+ (q15_t)0x7cd5, (q15_t)0x13e4, (q15_t)0x7cd9, (q15_t)0x13d8, (q15_t)0x7cdd, (q15_t)0x13cc, (q15_t)0x7ce0, (q15_t)0x13c0,
+ (q15_t)0x7ce4, (q15_t)0x13b4, (q15_t)0x7ce8, (q15_t)0x13a8, (q15_t)0x7cec, (q15_t)0x139c, (q15_t)0x7cf0, (q15_t)0x1390,
+ (q15_t)0x7cf4, (q15_t)0x1384, (q15_t)0x7cf8, (q15_t)0x1378, (q15_t)0x7cfb, (q15_t)0x136c, (q15_t)0x7cff, (q15_t)0x1360,
+ (q15_t)0x7d03, (q15_t)0x1354, (q15_t)0x7d07, (q15_t)0x1348, (q15_t)0x7d0b, (q15_t)0x133c, (q15_t)0x7d0e, (q15_t)0x1330,
+ (q15_t)0x7d12, (q15_t)0x1324, (q15_t)0x7d16, (q15_t)0x1318, (q15_t)0x7d1a, (q15_t)0x130c, (q15_t)0x7d1d, (q15_t)0x1300,
+ (q15_t)0x7d21, (q15_t)0x12f4, (q15_t)0x7d25, (q15_t)0x12e8, (q15_t)0x7d28, (q15_t)0x12dc, (q15_t)0x7d2c, (q15_t)0x12d0,
+ (q15_t)0x7d30, (q15_t)0x12c4, (q15_t)0x7d34, (q15_t)0x12b8, (q15_t)0x7d37, (q15_t)0x12ac, (q15_t)0x7d3b, (q15_t)0x12a0,
+ (q15_t)0x7d3f, (q15_t)0x1294, (q15_t)0x7d42, (q15_t)0x1288, (q15_t)0x7d46, (q15_t)0x127c, (q15_t)0x7d49, (q15_t)0x1270,
+ (q15_t)0x7d4d, (q15_t)0x1264, (q15_t)0x7d51, (q15_t)0x1258, (q15_t)0x7d54, (q15_t)0x124c, (q15_t)0x7d58, (q15_t)0x1240,
+ (q15_t)0x7d5b, (q15_t)0x1234, (q15_t)0x7d5f, (q15_t)0x1228, (q15_t)0x7d63, (q15_t)0x121c, (q15_t)0x7d66, (q15_t)0x1210,
+ (q15_t)0x7d6a, (q15_t)0x1204, (q15_t)0x7d6d, (q15_t)0x11f7, (q15_t)0x7d71, (q15_t)0x11eb, (q15_t)0x7d74, (q15_t)0x11df,
+ (q15_t)0x7d78, (q15_t)0x11d3, (q15_t)0x7d7b, (q15_t)0x11c7, (q15_t)0x7d7f, (q15_t)0x11bb, (q15_t)0x7d82, (q15_t)0x11af,
+ (q15_t)0x7d86, (q15_t)0x11a3, (q15_t)0x7d89, (q15_t)0x1197, (q15_t)0x7d8d, (q15_t)0x118b, (q15_t)0x7d90, (q15_t)0x117f,
+ (q15_t)0x7d93, (q15_t)0x1173, (q15_t)0x7d97, (q15_t)0x1167, (q15_t)0x7d9a, (q15_t)0x115a, (q15_t)0x7d9e, (q15_t)0x114e,
+ (q15_t)0x7da1, (q15_t)0x1142, (q15_t)0x7da4, (q15_t)0x1136, (q15_t)0x7da8, (q15_t)0x112a, (q15_t)0x7dab, (q15_t)0x111e,
+ (q15_t)0x7daf, (q15_t)0x1112, (q15_t)0x7db2, (q15_t)0x1106, (q15_t)0x7db5, (q15_t)0x10fa, (q15_t)0x7db9, (q15_t)0x10ed,
+ (q15_t)0x7dbc, (q15_t)0x10e1, (q15_t)0x7dbf, (q15_t)0x10d5, (q15_t)0x7dc2, (q15_t)0x10c9, (q15_t)0x7dc6, (q15_t)0x10bd,
+ (q15_t)0x7dc9, (q15_t)0x10b1, (q15_t)0x7dcc, (q15_t)0x10a5, (q15_t)0x7dd0, (q15_t)0x1099, (q15_t)0x7dd3, (q15_t)0x108c,
+ (q15_t)0x7dd6, (q15_t)0x1080, (q15_t)0x7dd9, (q15_t)0x1074, (q15_t)0x7ddd, (q15_t)0x1068, (q15_t)0x7de0, (q15_t)0x105c,
+ (q15_t)0x7de3, (q15_t)0x1050, (q15_t)0x7de6, (q15_t)0x1044, (q15_t)0x7de9, (q15_t)0x1037, (q15_t)0x7ded, (q15_t)0x102b,
+ (q15_t)0x7df0, (q15_t)0x101f, (q15_t)0x7df3, (q15_t)0x1013, (q15_t)0x7df6, (q15_t)0x1007, (q15_t)0x7df9, (q15_t)0xffb,
+ (q15_t)0x7dfc, (q15_t)0xfee, (q15_t)0x7dff, (q15_t)0xfe2, (q15_t)0x7e03, (q15_t)0xfd6, (q15_t)0x7e06, (q15_t)0xfca,
+ (q15_t)0x7e09, (q15_t)0xfbe, (q15_t)0x7e0c, (q15_t)0xfb2, (q15_t)0x7e0f, (q15_t)0xfa5, (q15_t)0x7e12, (q15_t)0xf99,
+ (q15_t)0x7e15, (q15_t)0xf8d, (q15_t)0x7e18, (q15_t)0xf81, (q15_t)0x7e1b, (q15_t)0xf75, (q15_t)0x7e1e, (q15_t)0xf68,
+ (q15_t)0x7e21, (q15_t)0xf5c, (q15_t)0x7e24, (q15_t)0xf50, (q15_t)0x7e27, (q15_t)0xf44, (q15_t)0x7e2a, (q15_t)0xf38,
+ (q15_t)0x7e2d, (q15_t)0xf2b, (q15_t)0x7e30, (q15_t)0xf1f, (q15_t)0x7e33, (q15_t)0xf13, (q15_t)0x7e36, (q15_t)0xf07,
+ (q15_t)0x7e39, (q15_t)0xefb, (q15_t)0x7e3c, (q15_t)0xeee, (q15_t)0x7e3f, (q15_t)0xee2, (q15_t)0x7e42, (q15_t)0xed6,
+ (q15_t)0x7e45, (q15_t)0xeca, (q15_t)0x7e48, (q15_t)0xebd, (q15_t)0x7e4a, (q15_t)0xeb1, (q15_t)0x7e4d, (q15_t)0xea5,
+ (q15_t)0x7e50, (q15_t)0xe99, (q15_t)0x7e53, (q15_t)0xe8c, (q15_t)0x7e56, (q15_t)0xe80, (q15_t)0x7e59, (q15_t)0xe74,
+ (q15_t)0x7e5c, (q15_t)0xe68, (q15_t)0x7e5e, (q15_t)0xe5c, (q15_t)0x7e61, (q15_t)0xe4f, (q15_t)0x7e64, (q15_t)0xe43,
+ (q15_t)0x7e67, (q15_t)0xe37, (q15_t)0x7e6a, (q15_t)0xe2b, (q15_t)0x7e6c, (q15_t)0xe1e, (q15_t)0x7e6f, (q15_t)0xe12,
+ (q15_t)0x7e72, (q15_t)0xe06, (q15_t)0x7e75, (q15_t)0xdf9, (q15_t)0x7e77, (q15_t)0xded, (q15_t)0x7e7a, (q15_t)0xde1,
+ (q15_t)0x7e7d, (q15_t)0xdd5, (q15_t)0x7e80, (q15_t)0xdc8, (q15_t)0x7e82, (q15_t)0xdbc, (q15_t)0x7e85, (q15_t)0xdb0,
+ (q15_t)0x7e88, (q15_t)0xda4, (q15_t)0x7e8a, (q15_t)0xd97, (q15_t)0x7e8d, (q15_t)0xd8b, (q15_t)0x7e90, (q15_t)0xd7f,
+ (q15_t)0x7e92, (q15_t)0xd72, (q15_t)0x7e95, (q15_t)0xd66, (q15_t)0x7e98, (q15_t)0xd5a, (q15_t)0x7e9a, (q15_t)0xd4e,
+ (q15_t)0x7e9d, (q15_t)0xd41, (q15_t)0x7e9f, (q15_t)0xd35, (q15_t)0x7ea2, (q15_t)0xd29, (q15_t)0x7ea5, (q15_t)0xd1c,
+ (q15_t)0x7ea7, (q15_t)0xd10, (q15_t)0x7eaa, (q15_t)0xd04, (q15_t)0x7eac, (q15_t)0xcf8, (q15_t)0x7eaf, (q15_t)0xceb,
+ (q15_t)0x7eb1, (q15_t)0xcdf, (q15_t)0x7eb4, (q15_t)0xcd3, (q15_t)0x7eb6, (q15_t)0xcc6, (q15_t)0x7eb9, (q15_t)0xcba,
+ (q15_t)0x7ebb, (q15_t)0xcae, (q15_t)0x7ebe, (q15_t)0xca1, (q15_t)0x7ec0, (q15_t)0xc95, (q15_t)0x7ec3, (q15_t)0xc89,
+ (q15_t)0x7ec5, (q15_t)0xc7c, (q15_t)0x7ec8, (q15_t)0xc70, (q15_t)0x7eca, (q15_t)0xc64, (q15_t)0x7ecc, (q15_t)0xc57,
+ (q15_t)0x7ecf, (q15_t)0xc4b, (q15_t)0x7ed1, (q15_t)0xc3f, (q15_t)0x7ed4, (q15_t)0xc32, (q15_t)0x7ed6, (q15_t)0xc26,
+ (q15_t)0x7ed8, (q15_t)0xc1a, (q15_t)0x7edb, (q15_t)0xc0d, (q15_t)0x7edd, (q15_t)0xc01, (q15_t)0x7ee0, (q15_t)0xbf5,
+ (q15_t)0x7ee2, (q15_t)0xbe8, (q15_t)0x7ee4, (q15_t)0xbdc, (q15_t)0x7ee7, (q15_t)0xbd0, (q15_t)0x7ee9, (q15_t)0xbc3,
+ (q15_t)0x7eeb, (q15_t)0xbb7, (q15_t)0x7eed, (q15_t)0xbab, (q15_t)0x7ef0, (q15_t)0xb9e, (q15_t)0x7ef2, (q15_t)0xb92,
+ (q15_t)0x7ef4, (q15_t)0xb85, (q15_t)0x7ef7, (q15_t)0xb79, (q15_t)0x7ef9, (q15_t)0xb6d, (q15_t)0x7efb, (q15_t)0xb60,
+ (q15_t)0x7efd, (q15_t)0xb54, (q15_t)0x7f00, (q15_t)0xb48, (q15_t)0x7f02, (q15_t)0xb3b, (q15_t)0x7f04, (q15_t)0xb2f,
+ (q15_t)0x7f06, (q15_t)0xb23, (q15_t)0x7f08, (q15_t)0xb16, (q15_t)0x7f0a, (q15_t)0xb0a, (q15_t)0x7f0d, (q15_t)0xafd,
+ (q15_t)0x7f0f, (q15_t)0xaf1, (q15_t)0x7f11, (q15_t)0xae5, (q15_t)0x7f13, (q15_t)0xad8, (q15_t)0x7f15, (q15_t)0xacc,
+ (q15_t)0x7f17, (q15_t)0xac0, (q15_t)0x7f19, (q15_t)0xab3, (q15_t)0x7f1c, (q15_t)0xaa7, (q15_t)0x7f1e, (q15_t)0xa9a,
+ (q15_t)0x7f20, (q15_t)0xa8e, (q15_t)0x7f22, (q15_t)0xa82, (q15_t)0x7f24, (q15_t)0xa75, (q15_t)0x7f26, (q15_t)0xa69,
+ (q15_t)0x7f28, (q15_t)0xa5c, (q15_t)0x7f2a, (q15_t)0xa50, (q15_t)0x7f2c, (q15_t)0xa44, (q15_t)0x7f2e, (q15_t)0xa37,
+ (q15_t)0x7f30, (q15_t)0xa2b, (q15_t)0x7f32, (q15_t)0xa1e, (q15_t)0x7f34, (q15_t)0xa12, (q15_t)0x7f36, (q15_t)0xa06,
+ (q15_t)0x7f38, (q15_t)0x9f9, (q15_t)0x7f3a, (q15_t)0x9ed, (q15_t)0x7f3c, (q15_t)0x9e0, (q15_t)0x7f3e, (q15_t)0x9d4,
+ (q15_t)0x7f40, (q15_t)0x9c7, (q15_t)0x7f42, (q15_t)0x9bb, (q15_t)0x7f43, (q15_t)0x9af, (q15_t)0x7f45, (q15_t)0x9a2,
+ (q15_t)0x7f47, (q15_t)0x996, (q15_t)0x7f49, (q15_t)0x989, (q15_t)0x7f4b, (q15_t)0x97d, (q15_t)0x7f4d, (q15_t)0x970,
+ (q15_t)0x7f4f, (q15_t)0x964, (q15_t)0x7f51, (q15_t)0x958, (q15_t)0x7f52, (q15_t)0x94b, (q15_t)0x7f54, (q15_t)0x93f,
+ (q15_t)0x7f56, (q15_t)0x932, (q15_t)0x7f58, (q15_t)0x926, (q15_t)0x7f5a, (q15_t)0x919, (q15_t)0x7f5b, (q15_t)0x90d,
+ (q15_t)0x7f5d, (q15_t)0x901, (q15_t)0x7f5f, (q15_t)0x8f4, (q15_t)0x7f61, (q15_t)0x8e8, (q15_t)0x7f62, (q15_t)0x8db,
+ (q15_t)0x7f64, (q15_t)0x8cf, (q15_t)0x7f66, (q15_t)0x8c2, (q15_t)0x7f68, (q15_t)0x8b6, (q15_t)0x7f69, (q15_t)0x8a9,
+ (q15_t)0x7f6b, (q15_t)0x89d, (q15_t)0x7f6d, (q15_t)0x891, (q15_t)0x7f6e, (q15_t)0x884, (q15_t)0x7f70, (q15_t)0x878,
+ (q15_t)0x7f72, (q15_t)0x86b, (q15_t)0x7f73, (q15_t)0x85f, (q15_t)0x7f75, (q15_t)0x852, (q15_t)0x7f77, (q15_t)0x846,
+ (q15_t)0x7f78, (q15_t)0x839, (q15_t)0x7f7a, (q15_t)0x82d, (q15_t)0x7f7b, (q15_t)0x820, (q15_t)0x7f7d, (q15_t)0x814,
+ (q15_t)0x7f7f, (q15_t)0x807, (q15_t)0x7f80, (q15_t)0x7fb, (q15_t)0x7f82, (q15_t)0x7ef, (q15_t)0x7f83, (q15_t)0x7e2,
+ (q15_t)0x7f85, (q15_t)0x7d6, (q15_t)0x7f86, (q15_t)0x7c9, (q15_t)0x7f88, (q15_t)0x7bd, (q15_t)0x7f89, (q15_t)0x7b0,
+ (q15_t)0x7f8b, (q15_t)0x7a4, (q15_t)0x7f8c, (q15_t)0x797, (q15_t)0x7f8e, (q15_t)0x78b, (q15_t)0x7f8f, (q15_t)0x77e,
+ (q15_t)0x7f91, (q15_t)0x772, (q15_t)0x7f92, (q15_t)0x765, (q15_t)0x7f94, (q15_t)0x759, (q15_t)0x7f95, (q15_t)0x74c,
+ (q15_t)0x7f97, (q15_t)0x740, (q15_t)0x7f98, (q15_t)0x733, (q15_t)0x7f99, (q15_t)0x727, (q15_t)0x7f9b, (q15_t)0x71a,
+ (q15_t)0x7f9c, (q15_t)0x70e, (q15_t)0x7f9e, (q15_t)0x701, (q15_t)0x7f9f, (q15_t)0x6f5, (q15_t)0x7fa0, (q15_t)0x6e8,
+ (q15_t)0x7fa2, (q15_t)0x6dc, (q15_t)0x7fa3, (q15_t)0x6cf, (q15_t)0x7fa4, (q15_t)0x6c3, (q15_t)0x7fa6, (q15_t)0x6b6,
+ (q15_t)0x7fa7, (q15_t)0x6aa, (q15_t)0x7fa8, (q15_t)0x69d, (q15_t)0x7faa, (q15_t)0x691, (q15_t)0x7fab, (q15_t)0x684,
+ (q15_t)0x7fac, (q15_t)0x678, (q15_t)0x7fad, (q15_t)0x66b, (q15_t)0x7faf, (q15_t)0x65f, (q15_t)0x7fb0, (q15_t)0x652,
+ (q15_t)0x7fb1, (q15_t)0x646, (q15_t)0x7fb2, (q15_t)0x639, (q15_t)0x7fb4, (q15_t)0x62d, (q15_t)0x7fb5, (q15_t)0x620,
+ (q15_t)0x7fb6, (q15_t)0x614, (q15_t)0x7fb7, (q15_t)0x607, (q15_t)0x7fb8, (q15_t)0x5fb, (q15_t)0x7fb9, (q15_t)0x5ee,
+ (q15_t)0x7fbb, (q15_t)0x5e2, (q15_t)0x7fbc, (q15_t)0x5d5, (q15_t)0x7fbd, (q15_t)0x5c9, (q15_t)0x7fbe, (q15_t)0x5bc,
+ (q15_t)0x7fbf, (q15_t)0x5b0, (q15_t)0x7fc0, (q15_t)0x5a3, (q15_t)0x7fc1, (q15_t)0x597, (q15_t)0x7fc3, (q15_t)0x58a,
+ (q15_t)0x7fc4, (q15_t)0x57e, (q15_t)0x7fc5, (q15_t)0x571, (q15_t)0x7fc6, (q15_t)0x565, (q15_t)0x7fc7, (q15_t)0x558,
+ (q15_t)0x7fc8, (q15_t)0x54c, (q15_t)0x7fc9, (q15_t)0x53f, (q15_t)0x7fca, (q15_t)0x533, (q15_t)0x7fcb, (q15_t)0x526,
+ (q15_t)0x7fcc, (q15_t)0x51a, (q15_t)0x7fcd, (q15_t)0x50d, (q15_t)0x7fce, (q15_t)0x500, (q15_t)0x7fcf, (q15_t)0x4f4,
+ (q15_t)0x7fd0, (q15_t)0x4e7, (q15_t)0x7fd1, (q15_t)0x4db, (q15_t)0x7fd2, (q15_t)0x4ce, (q15_t)0x7fd3, (q15_t)0x4c2,
+ (q15_t)0x7fd4, (q15_t)0x4b5, (q15_t)0x7fd5, (q15_t)0x4a9, (q15_t)0x7fd5, (q15_t)0x49c, (q15_t)0x7fd6, (q15_t)0x490,
+ (q15_t)0x7fd7, (q15_t)0x483, (q15_t)0x7fd8, (q15_t)0x477, (q15_t)0x7fd9, (q15_t)0x46a, (q15_t)0x7fda, (q15_t)0x45e,
+ (q15_t)0x7fdb, (q15_t)0x451, (q15_t)0x7fdc, (q15_t)0x444, (q15_t)0x7fdc, (q15_t)0x438, (q15_t)0x7fdd, (q15_t)0x42b,
+ (q15_t)0x7fde, (q15_t)0x41f, (q15_t)0x7fdf, (q15_t)0x412, (q15_t)0x7fe0, (q15_t)0x406, (q15_t)0x7fe0, (q15_t)0x3f9,
+ (q15_t)0x7fe1, (q15_t)0x3ed, (q15_t)0x7fe2, (q15_t)0x3e0, (q15_t)0x7fe3, (q15_t)0x3d4, (q15_t)0x7fe3, (q15_t)0x3c7,
+ (q15_t)0x7fe4, (q15_t)0x3bb, (q15_t)0x7fe5, (q15_t)0x3ae, (q15_t)0x7fe6, (q15_t)0x3a1, (q15_t)0x7fe6, (q15_t)0x395,
+ (q15_t)0x7fe7, (q15_t)0x388, (q15_t)0x7fe8, (q15_t)0x37c, (q15_t)0x7fe8, (q15_t)0x36f, (q15_t)0x7fe9, (q15_t)0x363,
+ (q15_t)0x7fea, (q15_t)0x356, (q15_t)0x7fea, (q15_t)0x34a, (q15_t)0x7feb, (q15_t)0x33d, (q15_t)0x7fec, (q15_t)0x330,
+ (q15_t)0x7fec, (q15_t)0x324, (q15_t)0x7fed, (q15_t)0x317, (q15_t)0x7fed, (q15_t)0x30b, (q15_t)0x7fee, (q15_t)0x2fe,
+ (q15_t)0x7fef, (q15_t)0x2f2, (q15_t)0x7fef, (q15_t)0x2e5, (q15_t)0x7ff0, (q15_t)0x2d9, (q15_t)0x7ff0, (q15_t)0x2cc,
+ (q15_t)0x7ff1, (q15_t)0x2c0, (q15_t)0x7ff1, (q15_t)0x2b3, (q15_t)0x7ff2, (q15_t)0x2a6, (q15_t)0x7ff2, (q15_t)0x29a,
+ (q15_t)0x7ff3, (q15_t)0x28d, (q15_t)0x7ff3, (q15_t)0x281, (q15_t)0x7ff4, (q15_t)0x274, (q15_t)0x7ff4, (q15_t)0x268,
+ (q15_t)0x7ff5, (q15_t)0x25b, (q15_t)0x7ff5, (q15_t)0x24e, (q15_t)0x7ff6, (q15_t)0x242, (q15_t)0x7ff6, (q15_t)0x235,
+ (q15_t)0x7ff7, (q15_t)0x229, (q15_t)0x7ff7, (q15_t)0x21c, (q15_t)0x7ff7, (q15_t)0x210, (q15_t)0x7ff8, (q15_t)0x203,
+ (q15_t)0x7ff8, (q15_t)0x1f7, (q15_t)0x7ff9, (q15_t)0x1ea, (q15_t)0x7ff9, (q15_t)0x1dd, (q15_t)0x7ff9, (q15_t)0x1d1,
+ (q15_t)0x7ffa, (q15_t)0x1c4, (q15_t)0x7ffa, (q15_t)0x1b8, (q15_t)0x7ffa, (q15_t)0x1ab, (q15_t)0x7ffb, (q15_t)0x19f,
+ (q15_t)0x7ffb, (q15_t)0x192, (q15_t)0x7ffb, (q15_t)0x186, (q15_t)0x7ffc, (q15_t)0x179, (q15_t)0x7ffc, (q15_t)0x16c,
+ (q15_t)0x7ffc, (q15_t)0x160, (q15_t)0x7ffc, (q15_t)0x153, (q15_t)0x7ffd, (q15_t)0x147, (q15_t)0x7ffd, (q15_t)0x13a,
+ (q15_t)0x7ffd, (q15_t)0x12e, (q15_t)0x7ffd, (q15_t)0x121, (q15_t)0x7ffe, (q15_t)0x114, (q15_t)0x7ffe, (q15_t)0x108,
+ (q15_t)0x7ffe, (q15_t)0xfb, (q15_t)0x7ffe, (q15_t)0xef, (q15_t)0x7ffe, (q15_t)0xe2, (q15_t)0x7fff, (q15_t)0xd6,
+ (q15_t)0x7fff, (q15_t)0xc9, (q15_t)0x7fff, (q15_t)0xbc, (q15_t)0x7fff, (q15_t)0xb0, (q15_t)0x7fff, (q15_t)0xa3,
+ (q15_t)0x7fff, (q15_t)0x97, (q15_t)0x7fff, (q15_t)0x8a, (q15_t)0x7fff, (q15_t)0x7e, (q15_t)0x7fff, (q15_t)0x71,
+ (q15_t)0x7fff, (q15_t)0x65, (q15_t)0x7fff, (q15_t)0x58, (q15_t)0x7fff, (q15_t)0x4b, (q15_t)0x7fff, (q15_t)0x3f,
+ (q15_t)0x7fff, (q15_t)0x32, (q15_t)0x7fff, (q15_t)0x26, (q15_t)0x7fff, (q15_t)0x19, (q15_t)0x7fff, (q15_t)0xd,
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfff3, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffda,
+ (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc1, (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffa8,
+ (q15_t)0x7fff, (q15_t)0xff9b, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff82, (q15_t)0x7fff, (q15_t)0xff76,
+ (q15_t)0x7fff, (q15_t)0xff69, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff50, (q15_t)0x7fff, (q15_t)0xff44,
+ (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff2a, (q15_t)0x7ffe, (q15_t)0xff1e, (q15_t)0x7ffe, (q15_t)0xff11,
+ (q15_t)0x7ffe, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfef8, (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffd, (q15_t)0xfedf,
+ (q15_t)0x7ffd, (q15_t)0xfed2, (q15_t)0x7ffd, (q15_t)0xfec6, (q15_t)0x7ffd, (q15_t)0xfeb9, (q15_t)0x7ffc, (q15_t)0xfead,
+ (q15_t)0x7ffc, (q15_t)0xfea0, (q15_t)0x7ffc, (q15_t)0xfe94, (q15_t)0x7ffc, (q15_t)0xfe87, (q15_t)0x7ffb, (q15_t)0xfe7a,
+ (q15_t)0x7ffb, (q15_t)0xfe6e, (q15_t)0x7ffb, (q15_t)0xfe61, (q15_t)0x7ffa, (q15_t)0xfe55, (q15_t)0x7ffa, (q15_t)0xfe48,
+ (q15_t)0x7ffa, (q15_t)0xfe3c, (q15_t)0x7ff9, (q15_t)0xfe2f, (q15_t)0x7ff9, (q15_t)0xfe23, (q15_t)0x7ff9, (q15_t)0xfe16,
+ (q15_t)0x7ff8, (q15_t)0xfe09, (q15_t)0x7ff8, (q15_t)0xfdfd, (q15_t)0x7ff7, (q15_t)0xfdf0, (q15_t)0x7ff7, (q15_t)0xfde4,
+ (q15_t)0x7ff7, (q15_t)0xfdd7, (q15_t)0x7ff6, (q15_t)0xfdcb, (q15_t)0x7ff6, (q15_t)0xfdbe, (q15_t)0x7ff5, (q15_t)0xfdb2,
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+ (q15_t)0x7ff3, (q15_t)0xfd73, (q15_t)0x7ff2, (q15_t)0xfd66, (q15_t)0x7ff2, (q15_t)0xfd5a, (q15_t)0x7ff1, (q15_t)0xfd4d,
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+ (q15_t)0x7fef, (q15_t)0xfd0e, (q15_t)0x7fee, (q15_t)0xfd02, (q15_t)0x7fed, (q15_t)0xfcf5, (q15_t)0x7fed, (q15_t)0xfce9,
+ (q15_t)0x7fec, (q15_t)0xfcdc, (q15_t)0x7fec, (q15_t)0xfcd0, (q15_t)0x7feb, (q15_t)0xfcc3, (q15_t)0x7fea, (q15_t)0xfcb6,
+ (q15_t)0x7fea, (q15_t)0xfcaa, (q15_t)0x7fe9, (q15_t)0xfc9d, (q15_t)0x7fe8, (q15_t)0xfc91, (q15_t)0x7fe8, (q15_t)0xfc84,
+ (q15_t)0x7fe7, (q15_t)0xfc78, (q15_t)0x7fe6, (q15_t)0xfc6b, (q15_t)0x7fe6, (q15_t)0xfc5f, (q15_t)0x7fe5, (q15_t)0xfc52,
+ (q15_t)0x7fe4, (q15_t)0xfc45, (q15_t)0x7fe3, (q15_t)0xfc39, (q15_t)0x7fe3, (q15_t)0xfc2c, (q15_t)0x7fe2, (q15_t)0xfc20,
+ (q15_t)0x7fe1, (q15_t)0xfc13, (q15_t)0x7fe0, (q15_t)0xfc07, (q15_t)0x7fe0, (q15_t)0xfbfa, (q15_t)0x7fdf, (q15_t)0xfbee,
+ (q15_t)0x7fde, (q15_t)0xfbe1, (q15_t)0x7fdd, (q15_t)0xfbd5, (q15_t)0x7fdc, (q15_t)0xfbc8, (q15_t)0x7fdc, (q15_t)0xfbbc,
+ (q15_t)0x7fdb, (q15_t)0xfbaf, (q15_t)0x7fda, (q15_t)0xfba2, (q15_t)0x7fd9, (q15_t)0xfb96, (q15_t)0x7fd8, (q15_t)0xfb89,
+ (q15_t)0x7fd7, (q15_t)0xfb7d, (q15_t)0x7fd6, (q15_t)0xfb70, (q15_t)0x7fd5, (q15_t)0xfb64, (q15_t)0x7fd5, (q15_t)0xfb57,
+ (q15_t)0x7fd4, (q15_t)0xfb4b, (q15_t)0x7fd3, (q15_t)0xfb3e, (q15_t)0x7fd2, (q15_t)0xfb32, (q15_t)0x7fd1, (q15_t)0xfb25,
+ (q15_t)0x7fd0, (q15_t)0xfb19, (q15_t)0x7fcf, (q15_t)0xfb0c, (q15_t)0x7fce, (q15_t)0xfb00, (q15_t)0x7fcd, (q15_t)0xfaf3,
+ (q15_t)0x7fcc, (q15_t)0xfae6, (q15_t)0x7fcb, (q15_t)0xfada, (q15_t)0x7fca, (q15_t)0xfacd, (q15_t)0x7fc9, (q15_t)0xfac1,
+ (q15_t)0x7fc8, (q15_t)0xfab4, (q15_t)0x7fc7, (q15_t)0xfaa8, (q15_t)0x7fc6, (q15_t)0xfa9b, (q15_t)0x7fc5, (q15_t)0xfa8f,
+ (q15_t)0x7fc4, (q15_t)0xfa82, (q15_t)0x7fc3, (q15_t)0xfa76, (q15_t)0x7fc1, (q15_t)0xfa69, (q15_t)0x7fc0, (q15_t)0xfa5d,
+ (q15_t)0x7fbf, (q15_t)0xfa50, (q15_t)0x7fbe, (q15_t)0xfa44, (q15_t)0x7fbd, (q15_t)0xfa37, (q15_t)0x7fbc, (q15_t)0xfa2b,
+ (q15_t)0x7fbb, (q15_t)0xfa1e, (q15_t)0x7fb9, (q15_t)0xfa12, (q15_t)0x7fb8, (q15_t)0xfa05, (q15_t)0x7fb7, (q15_t)0xf9f9,
+ (q15_t)0x7fb6, (q15_t)0xf9ec, (q15_t)0x7fb5, (q15_t)0xf9e0, (q15_t)0x7fb4, (q15_t)0xf9d3, (q15_t)0x7fb2, (q15_t)0xf9c7,
+ (q15_t)0x7fb1, (q15_t)0xf9ba, (q15_t)0x7fb0, (q15_t)0xf9ae, (q15_t)0x7faf, (q15_t)0xf9a1, (q15_t)0x7fad, (q15_t)0xf995,
+ (q15_t)0x7fac, (q15_t)0xf988, (q15_t)0x7fab, (q15_t)0xf97c, (q15_t)0x7faa, (q15_t)0xf96f, (q15_t)0x7fa8, (q15_t)0xf963,
+ (q15_t)0x7fa7, (q15_t)0xf956, (q15_t)0x7fa6, (q15_t)0xf94a, (q15_t)0x7fa4, (q15_t)0xf93d, (q15_t)0x7fa3, (q15_t)0xf931,
+ (q15_t)0x7fa2, (q15_t)0xf924, (q15_t)0x7fa0, (q15_t)0xf918, (q15_t)0x7f9f, (q15_t)0xf90b, (q15_t)0x7f9e, (q15_t)0xf8ff,
+ (q15_t)0x7f9c, (q15_t)0xf8f2, (q15_t)0x7f9b, (q15_t)0xf8e6, (q15_t)0x7f99, (q15_t)0xf8d9, (q15_t)0x7f98, (q15_t)0xf8cd,
+ (q15_t)0x7f97, (q15_t)0xf8c0, (q15_t)0x7f95, (q15_t)0xf8b4, (q15_t)0x7f94, (q15_t)0xf8a7, (q15_t)0x7f92, (q15_t)0xf89b,
+ (q15_t)0x7f91, (q15_t)0xf88e, (q15_t)0x7f8f, (q15_t)0xf882, (q15_t)0x7f8e, (q15_t)0xf875, (q15_t)0x7f8c, (q15_t)0xf869,
+ (q15_t)0x7f8b, (q15_t)0xf85c, (q15_t)0x7f89, (q15_t)0xf850, (q15_t)0x7f88, (q15_t)0xf843, (q15_t)0x7f86, (q15_t)0xf837,
+ (q15_t)0x7f85, (q15_t)0xf82a, (q15_t)0x7f83, (q15_t)0xf81e, (q15_t)0x7f82, (q15_t)0xf811, (q15_t)0x7f80, (q15_t)0xf805,
+ (q15_t)0x7f7f, (q15_t)0xf7f9, (q15_t)0x7f7d, (q15_t)0xf7ec, (q15_t)0x7f7b, (q15_t)0xf7e0, (q15_t)0x7f7a, (q15_t)0xf7d3,
+ (q15_t)0x7f78, (q15_t)0xf7c7, (q15_t)0x7f77, (q15_t)0xf7ba, (q15_t)0x7f75, (q15_t)0xf7ae, (q15_t)0x7f73, (q15_t)0xf7a1,
+ (q15_t)0x7f72, (q15_t)0xf795, (q15_t)0x7f70, (q15_t)0xf788, (q15_t)0x7f6e, (q15_t)0xf77c, (q15_t)0x7f6d, (q15_t)0xf76f,
+ (q15_t)0x7f6b, (q15_t)0xf763, (q15_t)0x7f69, (q15_t)0xf757, (q15_t)0x7f68, (q15_t)0xf74a, (q15_t)0x7f66, (q15_t)0xf73e,
+ (q15_t)0x7f64, (q15_t)0xf731, (q15_t)0x7f62, (q15_t)0xf725, (q15_t)0x7f61, (q15_t)0xf718, (q15_t)0x7f5f, (q15_t)0xf70c,
+ (q15_t)0x7f5d, (q15_t)0xf6ff, (q15_t)0x7f5b, (q15_t)0xf6f3, (q15_t)0x7f5a, (q15_t)0xf6e7, (q15_t)0x7f58, (q15_t)0xf6da,
+ (q15_t)0x7f56, (q15_t)0xf6ce, (q15_t)0x7f54, (q15_t)0xf6c1, (q15_t)0x7f52, (q15_t)0xf6b5, (q15_t)0x7f51, (q15_t)0xf6a8,
+ (q15_t)0x7f4f, (q15_t)0xf69c, (q15_t)0x7f4d, (q15_t)0xf690, (q15_t)0x7f4b, (q15_t)0xf683, (q15_t)0x7f49, (q15_t)0xf677,
+ (q15_t)0x7f47, (q15_t)0xf66a, (q15_t)0x7f45, (q15_t)0xf65e, (q15_t)0x7f43, (q15_t)0xf651, (q15_t)0x7f42, (q15_t)0xf645,
+ (q15_t)0x7f40, (q15_t)0xf639, (q15_t)0x7f3e, (q15_t)0xf62c, (q15_t)0x7f3c, (q15_t)0xf620, (q15_t)0x7f3a, (q15_t)0xf613,
+ (q15_t)0x7f38, (q15_t)0xf607, (q15_t)0x7f36, (q15_t)0xf5fa, (q15_t)0x7f34, (q15_t)0xf5ee, (q15_t)0x7f32, (q15_t)0xf5e2,
+ (q15_t)0x7f30, (q15_t)0xf5d5, (q15_t)0x7f2e, (q15_t)0xf5c9, (q15_t)0x7f2c, (q15_t)0xf5bc, (q15_t)0x7f2a, (q15_t)0xf5b0,
+ (q15_t)0x7f28, (q15_t)0xf5a4, (q15_t)0x7f26, (q15_t)0xf597, (q15_t)0x7f24, (q15_t)0xf58b, (q15_t)0x7f22, (q15_t)0xf57e,
+ (q15_t)0x7f20, (q15_t)0xf572, (q15_t)0x7f1e, (q15_t)0xf566, (q15_t)0x7f1c, (q15_t)0xf559, (q15_t)0x7f19, (q15_t)0xf54d,
+ (q15_t)0x7f17, (q15_t)0xf540, (q15_t)0x7f15, (q15_t)0xf534, (q15_t)0x7f13, (q15_t)0xf528, (q15_t)0x7f11, (q15_t)0xf51b,
+ (q15_t)0x7f0f, (q15_t)0xf50f, (q15_t)0x7f0d, (q15_t)0xf503, (q15_t)0x7f0a, (q15_t)0xf4f6, (q15_t)0x7f08, (q15_t)0xf4ea,
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+ (q15_t)0x64b1, (q15_t)0xcb90, (q15_t)0x64a7, (q15_t)0xcb89, (q15_t)0x649c, (q15_t)0xcb81, (q15_t)0x6492, (q15_t)0xcb7a,
+ (q15_t)0x6488, (q15_t)0xcb73, (q15_t)0x647d, (q15_t)0xcb6c, (q15_t)0x6473, (q15_t)0xcb65, (q15_t)0x6469, (q15_t)0xcb5e,
+ (q15_t)0x645e, (q15_t)0xcb56, (q15_t)0x6454, (q15_t)0xcb4f, (q15_t)0x644a, (q15_t)0xcb48, (q15_t)0x643f, (q15_t)0xcb41,
+ (q15_t)0x6435, (q15_t)0xcb3a, (q15_t)0x642b, (q15_t)0xcb33, (q15_t)0x6420, (q15_t)0xcb2c, (q15_t)0x6416, (q15_t)0xcb25,
+ (q15_t)0x640b, (q15_t)0xcb1e, (q15_t)0x6401, (q15_t)0xcb16, (q15_t)0x63f7, (q15_t)0xcb0f, (q15_t)0x63ec, (q15_t)0xcb08,
+ (q15_t)0x63e2, (q15_t)0xcb01, (q15_t)0x63d7, (q15_t)0xcafa, (q15_t)0x63cd, (q15_t)0xcaf3, (q15_t)0x63c3, (q15_t)0xcaec,
+ (q15_t)0x63b8, (q15_t)0xcae5, (q15_t)0x63ae, (q15_t)0xcade, (q15_t)0x63a3, (q15_t)0xcad7, (q15_t)0x6399, (q15_t)0xcad0,
+ (q15_t)0x638e, (q15_t)0xcac9, (q15_t)0x6384, (q15_t)0xcac2, (q15_t)0x637a, (q15_t)0xcabb, (q15_t)0x636f, (q15_t)0xcab4,
+ (q15_t)0x6365, (q15_t)0xcaad, (q15_t)0x635a, (q15_t)0xcaa6, (q15_t)0x6350, (q15_t)0xca9f, (q15_t)0x6345, (q15_t)0xca99,
+ (q15_t)0x633b, (q15_t)0xca92, (q15_t)0x6330, (q15_t)0xca8b, (q15_t)0x6326, (q15_t)0xca84, (q15_t)0x631b, (q15_t)0xca7d,
+ (q15_t)0x6311, (q15_t)0xca76, (q15_t)0x6306, (q15_t)0xca6f, (q15_t)0x62fc, (q15_t)0xca68, (q15_t)0x62f1, (q15_t)0xca61,
+ (q15_t)0x62e7, (q15_t)0xca5b, (q15_t)0x62dc, (q15_t)0xca54, (q15_t)0x62d2, (q15_t)0xca4d, (q15_t)0x62c7, (q15_t)0xca46,
+ (q15_t)0x62bc, (q15_t)0xca3f, (q15_t)0x62b2, (q15_t)0xca38, (q15_t)0x62a7, (q15_t)0xca32, (q15_t)0x629d, (q15_t)0xca2b,
+ (q15_t)0x6292, (q15_t)0xca24, (q15_t)0x6288, (q15_t)0xca1d, (q15_t)0x627d, (q15_t)0xca16, (q15_t)0x6272, (q15_t)0xca10,
+ (q15_t)0x6268, (q15_t)0xca09, (q15_t)0x625d, (q15_t)0xca02, (q15_t)0x6253, (q15_t)0xc9fb, (q15_t)0x6248, (q15_t)0xc9f5,
+ (q15_t)0x623d, (q15_t)0xc9ee, (q15_t)0x6233, (q15_t)0xc9e7, (q15_t)0x6228, (q15_t)0xc9e0, (q15_t)0x621e, (q15_t)0xc9da,
+ (q15_t)0x6213, (q15_t)0xc9d3, (q15_t)0x6208, (q15_t)0xc9cc, (q15_t)0x61fe, (q15_t)0xc9c6, (q15_t)0x61f3, (q15_t)0xc9bf,
+ (q15_t)0x61e8, (q15_t)0xc9b8, (q15_t)0x61de, (q15_t)0xc9b2, (q15_t)0x61d3, (q15_t)0xc9ab, (q15_t)0x61c8, (q15_t)0xc9a4,
+ (q15_t)0x61be, (q15_t)0xc99e, (q15_t)0x61b3, (q15_t)0xc997, (q15_t)0x61a8, (q15_t)0xc991, (q15_t)0x619e, (q15_t)0xc98a,
+ (q15_t)0x6193, (q15_t)0xc983, (q15_t)0x6188, (q15_t)0xc97d, (q15_t)0x617d, (q15_t)0xc976, (q15_t)0x6173, (q15_t)0xc970,
+ (q15_t)0x6168, (q15_t)0xc969, (q15_t)0x615d, (q15_t)0xc963, (q15_t)0x6153, (q15_t)0xc95c, (q15_t)0x6148, (q15_t)0xc955,
+ (q15_t)0x613d, (q15_t)0xc94f, (q15_t)0x6132, (q15_t)0xc948, (q15_t)0x6128, (q15_t)0xc942, (q15_t)0x611d, (q15_t)0xc93b,
+ (q15_t)0x6112, (q15_t)0xc935, (q15_t)0x6107, (q15_t)0xc92e, (q15_t)0x60fd, (q15_t)0xc928, (q15_t)0x60f2, (q15_t)0xc921,
+ (q15_t)0x60e7, (q15_t)0xc91b, (q15_t)0x60dc, (q15_t)0xc915, (q15_t)0x60d1, (q15_t)0xc90e, (q15_t)0x60c7, (q15_t)0xc908,
+ (q15_t)0x60bc, (q15_t)0xc901, (q15_t)0x60b1, (q15_t)0xc8fb, (q15_t)0x60a6, (q15_t)0xc8f4, (q15_t)0x609b, (q15_t)0xc8ee,
+ (q15_t)0x6091, (q15_t)0xc8e8, (q15_t)0x6086, (q15_t)0xc8e1, (q15_t)0x607b, (q15_t)0xc8db, (q15_t)0x6070, (q15_t)0xc8d4,
+ (q15_t)0x6065, (q15_t)0xc8ce, (q15_t)0x605b, (q15_t)0xc8c8, (q15_t)0x6050, (q15_t)0xc8c1, (q15_t)0x6045, (q15_t)0xc8bb,
+ (q15_t)0x603a, (q15_t)0xc8b5, (q15_t)0x602f, (q15_t)0xc8ae, (q15_t)0x6024, (q15_t)0xc8a8, (q15_t)0x6019, (q15_t)0xc8a2,
+ (q15_t)0x600f, (q15_t)0xc89b, (q15_t)0x6004, (q15_t)0xc895, (q15_t)0x5ff9, (q15_t)0xc88f, (q15_t)0x5fee, (q15_t)0xc889,
+ (q15_t)0x5fe3, (q15_t)0xc882, (q15_t)0x5fd8, (q15_t)0xc87c, (q15_t)0x5fcd, (q15_t)0xc876, (q15_t)0x5fc2, (q15_t)0xc870,
+ (q15_t)0x5fb7, (q15_t)0xc869, (q15_t)0x5fac, (q15_t)0xc863, (q15_t)0x5fa2, (q15_t)0xc85d, (q15_t)0x5f97, (q15_t)0xc857,
+ (q15_t)0x5f8c, (q15_t)0xc850, (q15_t)0x5f81, (q15_t)0xc84a, (q15_t)0x5f76, (q15_t)0xc844, (q15_t)0x5f6b, (q15_t)0xc83e,
+ (q15_t)0x5f60, (q15_t)0xc838, (q15_t)0x5f55, (q15_t)0xc832, (q15_t)0x5f4a, (q15_t)0xc82b, (q15_t)0x5f3f, (q15_t)0xc825,
+ (q15_t)0x5f34, (q15_t)0xc81f, (q15_t)0x5f29, (q15_t)0xc819, (q15_t)0x5f1e, (q15_t)0xc813, (q15_t)0x5f13, (q15_t)0xc80d,
+ (q15_t)0x5f08, (q15_t)0xc807, (q15_t)0x5efd, (q15_t)0xc801, (q15_t)0x5ef2, (q15_t)0xc7fb, (q15_t)0x5ee7, (q15_t)0xc7f5,
+ (q15_t)0x5edc, (q15_t)0xc7ee, (q15_t)0x5ed1, (q15_t)0xc7e8, (q15_t)0x5ec6, (q15_t)0xc7e2, (q15_t)0x5ebb, (q15_t)0xc7dc,
+ (q15_t)0x5eb0, (q15_t)0xc7d6, (q15_t)0x5ea5, (q15_t)0xc7d0, (q15_t)0x5e9a, (q15_t)0xc7ca, (q15_t)0x5e8f, (q15_t)0xc7c4,
+ (q15_t)0x5e84, (q15_t)0xc7be, (q15_t)0x5e79, (q15_t)0xc7b8, (q15_t)0x5e6e, (q15_t)0xc7b2, (q15_t)0x5e63, (q15_t)0xc7ac,
+ (q15_t)0x5e58, (q15_t)0xc7a6, (q15_t)0x5e4d, (q15_t)0xc7a0, (q15_t)0x5e42, (q15_t)0xc79a, (q15_t)0x5e36, (q15_t)0xc795,
+ (q15_t)0x5e2b, (q15_t)0xc78f, (q15_t)0x5e20, (q15_t)0xc789, (q15_t)0x5e15, (q15_t)0xc783, (q15_t)0x5e0a, (q15_t)0xc77d,
+ (q15_t)0x5dff, (q15_t)0xc777, (q15_t)0x5df4, (q15_t)0xc771, (q15_t)0x5de9, (q15_t)0xc76b, (q15_t)0x5dde, (q15_t)0xc765,
+ (q15_t)0x5dd3, (q15_t)0xc75f, (q15_t)0x5dc7, (q15_t)0xc75a, (q15_t)0x5dbc, (q15_t)0xc754, (q15_t)0x5db1, (q15_t)0xc74e,
+ (q15_t)0x5da6, (q15_t)0xc748, (q15_t)0x5d9b, (q15_t)0xc742, (q15_t)0x5d90, (q15_t)0xc73d, (q15_t)0x5d85, (q15_t)0xc737,
+ (q15_t)0x5d79, (q15_t)0xc731, (q15_t)0x5d6e, (q15_t)0xc72b, (q15_t)0x5d63, (q15_t)0xc725, (q15_t)0x5d58, (q15_t)0xc720,
+ (q15_t)0x5d4d, (q15_t)0xc71a, (q15_t)0x5d42, (q15_t)0xc714, (q15_t)0x5d36, (q15_t)0xc70e, (q15_t)0x5d2b, (q15_t)0xc709,
+ (q15_t)0x5d20, (q15_t)0xc703, (q15_t)0x5d15, (q15_t)0xc6fd, (q15_t)0x5d0a, (q15_t)0xc6f7, (q15_t)0x5cff, (q15_t)0xc6f2,
+ (q15_t)0x5cf3, (q15_t)0xc6ec, (q15_t)0x5ce8, (q15_t)0xc6e6, (q15_t)0x5cdd, (q15_t)0xc6e1, (q15_t)0x5cd2, (q15_t)0xc6db,
+ (q15_t)0x5cc6, (q15_t)0xc6d5, (q15_t)0x5cbb, (q15_t)0xc6d0, (q15_t)0x5cb0, (q15_t)0xc6ca, (q15_t)0x5ca5, (q15_t)0xc6c5,
+ (q15_t)0x5c99, (q15_t)0xc6bf, (q15_t)0x5c8e, (q15_t)0xc6b9, (q15_t)0x5c83, (q15_t)0xc6b4, (q15_t)0x5c78, (q15_t)0xc6ae,
+ (q15_t)0x5c6c, (q15_t)0xc6a8, (q15_t)0x5c61, (q15_t)0xc6a3, (q15_t)0x5c56, (q15_t)0xc69d, (q15_t)0x5c4b, (q15_t)0xc698,
+ (q15_t)0x5c3f, (q15_t)0xc692, (q15_t)0x5c34, (q15_t)0xc68d, (q15_t)0x5c29, (q15_t)0xc687, (q15_t)0x5c1e, (q15_t)0xc682,
+ (q15_t)0x5c12, (q15_t)0xc67c, (q15_t)0x5c07, (q15_t)0xc677, (q15_t)0x5bfc, (q15_t)0xc671, (q15_t)0x5bf0, (q15_t)0xc66c,
+ (q15_t)0x5be5, (q15_t)0xc666, (q15_t)0x5bda, (q15_t)0xc661, (q15_t)0x5bce, (q15_t)0xc65b, (q15_t)0x5bc3, (q15_t)0xc656,
+ (q15_t)0x5bb8, (q15_t)0xc650, (q15_t)0x5bac, (q15_t)0xc64b, (q15_t)0x5ba1, (q15_t)0xc645, (q15_t)0x5b96, (q15_t)0xc640,
+ (q15_t)0x5b8a, (q15_t)0xc63b, (q15_t)0x5b7f, (q15_t)0xc635, (q15_t)0x5b74, (q15_t)0xc630, (q15_t)0x5b68, (q15_t)0xc62a,
+ (q15_t)0x5b5d, (q15_t)0xc625, (q15_t)0x5b52, (q15_t)0xc620, (q15_t)0x5b46, (q15_t)0xc61a, (q15_t)0x5b3b, (q15_t)0xc615,
+ (q15_t)0x5b30, (q15_t)0xc610, (q15_t)0x5b24, (q15_t)0xc60a, (q15_t)0x5b19, (q15_t)0xc605, (q15_t)0x5b0d, (q15_t)0xc600,
+ (q15_t)0x5b02, (q15_t)0xc5fa, (q15_t)0x5af7, (q15_t)0xc5f5, (q15_t)0x5aeb, (q15_t)0xc5f0, (q15_t)0x5ae0, (q15_t)0xc5ea,
+ (q15_t)0x5ad4, (q15_t)0xc5e5, (q15_t)0x5ac9, (q15_t)0xc5e0, (q15_t)0x5abe, (q15_t)0xc5db, (q15_t)0x5ab2, (q15_t)0xc5d5,
+ (q15_t)0x5aa7, (q15_t)0xc5d0, (q15_t)0x5a9b, (q15_t)0xc5cb, (q15_t)0x5a90, (q15_t)0xc5c6, (q15_t)0x5a84, (q15_t)0xc5c1,
+ (q15_t)0x5a79, (q15_t)0xc5bb, (q15_t)0x5a6e, (q15_t)0xc5b6, (q15_t)0x5a62, (q15_t)0xc5b1, (q15_t)0x5a57, (q15_t)0xc5ac,
+ (q15_t)0x5a4b, (q15_t)0xc5a7, (q15_t)0x5a40, (q15_t)0xc5a1, (q15_t)0x5a34, (q15_t)0xc59c, (q15_t)0x5a29, (q15_t)0xc597,
+ (q15_t)0x5a1d, (q15_t)0xc592, (q15_t)0x5a12, (q15_t)0xc58d, (q15_t)0x5a06, (q15_t)0xc588, (q15_t)0x59fb, (q15_t)0xc583,
+ (q15_t)0x59ef, (q15_t)0xc57e, (q15_t)0x59e4, (q15_t)0xc578, (q15_t)0x59d8, (q15_t)0xc573, (q15_t)0x59cd, (q15_t)0xc56e,
+ (q15_t)0x59c1, (q15_t)0xc569, (q15_t)0x59b6, (q15_t)0xc564, (q15_t)0x59aa, (q15_t)0xc55f, (q15_t)0x599f, (q15_t)0xc55a,
+ (q15_t)0x5993, (q15_t)0xc555, (q15_t)0x5988, (q15_t)0xc550, (q15_t)0x597c, (q15_t)0xc54b, (q15_t)0x5971, (q15_t)0xc546,
+ (q15_t)0x5965, (q15_t)0xc541, (q15_t)0x595a, (q15_t)0xc53c, (q15_t)0x594e, (q15_t)0xc537, (q15_t)0x5943, (q15_t)0xc532,
+ (q15_t)0x5937, (q15_t)0xc52d, (q15_t)0x592c, (q15_t)0xc528, (q15_t)0x5920, (q15_t)0xc523, (q15_t)0x5914, (q15_t)0xc51e,
+ (q15_t)0x5909, (q15_t)0xc51a, (q15_t)0x58fd, (q15_t)0xc515, (q15_t)0x58f2, (q15_t)0xc510, (q15_t)0x58e6, (q15_t)0xc50b,
+ (q15_t)0x58db, (q15_t)0xc506, (q15_t)0x58cf, (q15_t)0xc501, (q15_t)0x58c3, (q15_t)0xc4fc, (q15_t)0x58b8, (q15_t)0xc4f7,
+ (q15_t)0x58ac, (q15_t)0xc4f2, (q15_t)0x58a1, (q15_t)0xc4ee, (q15_t)0x5895, (q15_t)0xc4e9, (q15_t)0x5889, (q15_t)0xc4e4,
+ (q15_t)0x587e, (q15_t)0xc4df, (q15_t)0x5872, (q15_t)0xc4da, (q15_t)0x5867, (q15_t)0xc4d6, (q15_t)0x585b, (q15_t)0xc4d1,
+ (q15_t)0x584f, (q15_t)0xc4cc, (q15_t)0x5844, (q15_t)0xc4c7, (q15_t)0x5838, (q15_t)0xc4c2, (q15_t)0x582d, (q15_t)0xc4be,
+ (q15_t)0x5821, (q15_t)0xc4b9, (q15_t)0x5815, (q15_t)0xc4b4, (q15_t)0x580a, (q15_t)0xc4b0, (q15_t)0x57fe, (q15_t)0xc4ab,
+ (q15_t)0x57f2, (q15_t)0xc4a6, (q15_t)0x57e7, (q15_t)0xc4a1, (q15_t)0x57db, (q15_t)0xc49d, (q15_t)0x57cf, (q15_t)0xc498,
+ (q15_t)0x57c4, (q15_t)0xc493, (q15_t)0x57b8, (q15_t)0xc48f, (q15_t)0x57ac, (q15_t)0xc48a, (q15_t)0x57a1, (q15_t)0xc485,
+ (q15_t)0x5795, (q15_t)0xc481, (q15_t)0x5789, (q15_t)0xc47c, (q15_t)0x577e, (q15_t)0xc478, (q15_t)0x5772, (q15_t)0xc473,
+ (q15_t)0x5766, (q15_t)0xc46e, (q15_t)0x575b, (q15_t)0xc46a, (q15_t)0x574f, (q15_t)0xc465, (q15_t)0x5743, (q15_t)0xc461,
+ (q15_t)0x5737, (q15_t)0xc45c, (q15_t)0x572c, (q15_t)0xc457, (q15_t)0x5720, (q15_t)0xc453, (q15_t)0x5714, (q15_t)0xc44e,
+ (q15_t)0x5709, (q15_t)0xc44a, (q15_t)0x56fd, (q15_t)0xc445, (q15_t)0x56f1, (q15_t)0xc441, (q15_t)0x56e5, (q15_t)0xc43c,
+ (q15_t)0x56da, (q15_t)0xc438, (q15_t)0x56ce, (q15_t)0xc433, (q15_t)0x56c2, (q15_t)0xc42f, (q15_t)0x56b6, (q15_t)0xc42a,
+ (q15_t)0x56ab, (q15_t)0xc426, (q15_t)0x569f, (q15_t)0xc422, (q15_t)0x5693, (q15_t)0xc41d, (q15_t)0x5687, (q15_t)0xc419,
+ (q15_t)0x567c, (q15_t)0xc414, (q15_t)0x5670, (q15_t)0xc410, (q15_t)0x5664, (q15_t)0xc40b, (q15_t)0x5658, (q15_t)0xc407,
+ (q15_t)0x564c, (q15_t)0xc403, (q15_t)0x5641, (q15_t)0xc3fe, (q15_t)0x5635, (q15_t)0xc3fa, (q15_t)0x5629, (q15_t)0xc3f6,
+ (q15_t)0x561d, (q15_t)0xc3f1, (q15_t)0x5612, (q15_t)0xc3ed, (q15_t)0x5606, (q15_t)0xc3e9, (q15_t)0x55fa, (q15_t)0xc3e4,
+ (q15_t)0x55ee, (q15_t)0xc3e0, (q15_t)0x55e2, (q15_t)0xc3dc, (q15_t)0x55d7, (q15_t)0xc3d7, (q15_t)0x55cb, (q15_t)0xc3d3,
+ (q15_t)0x55bf, (q15_t)0xc3cf, (q15_t)0x55b3, (q15_t)0xc3ca, (q15_t)0x55a7, (q15_t)0xc3c6, (q15_t)0x559b, (q15_t)0xc3c2,
+ (q15_t)0x5590, (q15_t)0xc3be, (q15_t)0x5584, (q15_t)0xc3ba, (q15_t)0x5578, (q15_t)0xc3b5, (q15_t)0x556c, (q15_t)0xc3b1,
+ (q15_t)0x5560, (q15_t)0xc3ad, (q15_t)0x5554, (q15_t)0xc3a9, (q15_t)0x5549, (q15_t)0xc3a5, (q15_t)0x553d, (q15_t)0xc3a0,
+ (q15_t)0x5531, (q15_t)0xc39c, (q15_t)0x5525, (q15_t)0xc398, (q15_t)0x5519, (q15_t)0xc394, (q15_t)0x550d, (q15_t)0xc390,
+ (q15_t)0x5501, (q15_t)0xc38c, (q15_t)0x54f6, (q15_t)0xc387, (q15_t)0x54ea, (q15_t)0xc383, (q15_t)0x54de, (q15_t)0xc37f,
+ (q15_t)0x54d2, (q15_t)0xc37b, (q15_t)0x54c6, (q15_t)0xc377, (q15_t)0x54ba, (q15_t)0xc373, (q15_t)0x54ae, (q15_t)0xc36f,
+ (q15_t)0x54a2, (q15_t)0xc36b, (q15_t)0x5496, (q15_t)0xc367, (q15_t)0x548b, (q15_t)0xc363, (q15_t)0x547f, (q15_t)0xc35f,
+ (q15_t)0x5473, (q15_t)0xc35b, (q15_t)0x5467, (q15_t)0xc357, (q15_t)0x545b, (q15_t)0xc353, (q15_t)0x544f, (q15_t)0xc34f,
+ (q15_t)0x5443, (q15_t)0xc34b, (q15_t)0x5437, (q15_t)0xc347, (q15_t)0x542b, (q15_t)0xc343, (q15_t)0x541f, (q15_t)0xc33f,
+ (q15_t)0x5413, (q15_t)0xc33b, (q15_t)0x5407, (q15_t)0xc337, (q15_t)0x53fb, (q15_t)0xc333, (q15_t)0x53f0, (q15_t)0xc32f,
+ (q15_t)0x53e4, (q15_t)0xc32b, (q15_t)0x53d8, (q15_t)0xc327, (q15_t)0x53cc, (q15_t)0xc323, (q15_t)0x53c0, (q15_t)0xc320,
+ (q15_t)0x53b4, (q15_t)0xc31c, (q15_t)0x53a8, (q15_t)0xc318, (q15_t)0x539c, (q15_t)0xc314, (q15_t)0x5390, (q15_t)0xc310,
+ (q15_t)0x5384, (q15_t)0xc30c, (q15_t)0x5378, (q15_t)0xc308, (q15_t)0x536c, (q15_t)0xc305, (q15_t)0x5360, (q15_t)0xc301,
+ (q15_t)0x5354, (q15_t)0xc2fd, (q15_t)0x5348, (q15_t)0xc2f9, (q15_t)0x533c, (q15_t)0xc2f5, (q15_t)0x5330, (q15_t)0xc2f2,
+ (q15_t)0x5324, (q15_t)0xc2ee, (q15_t)0x5318, (q15_t)0xc2ea, (q15_t)0x530c, (q15_t)0xc2e6, (q15_t)0x5300, (q15_t)0xc2e3,
+ (q15_t)0x52f4, (q15_t)0xc2df, (q15_t)0x52e8, (q15_t)0xc2db, (q15_t)0x52dc, (q15_t)0xc2d8, (q15_t)0x52d0, (q15_t)0xc2d4,
+ (q15_t)0x52c4, (q15_t)0xc2d0, (q15_t)0x52b8, (q15_t)0xc2cc, (q15_t)0x52ac, (q15_t)0xc2c9, (q15_t)0x52a0, (q15_t)0xc2c5,
+ (q15_t)0x5294, (q15_t)0xc2c1, (q15_t)0x5288, (q15_t)0xc2be, (q15_t)0x527c, (q15_t)0xc2ba, (q15_t)0x5270, (q15_t)0xc2b7,
+ (q15_t)0x5264, (q15_t)0xc2b3, (q15_t)0x5258, (q15_t)0xc2af, (q15_t)0x524c, (q15_t)0xc2ac, (q15_t)0x5240, (q15_t)0xc2a8,
+ (q15_t)0x5234, (q15_t)0xc2a5, (q15_t)0x5228, (q15_t)0xc2a1, (q15_t)0x521c, (q15_t)0xc29d, (q15_t)0x5210, (q15_t)0xc29a,
+ (q15_t)0x5204, (q15_t)0xc296, (q15_t)0x51f7, (q15_t)0xc293, (q15_t)0x51eb, (q15_t)0xc28f, (q15_t)0x51df, (q15_t)0xc28c,
+ (q15_t)0x51d3, (q15_t)0xc288, (q15_t)0x51c7, (q15_t)0xc285, (q15_t)0x51bb, (q15_t)0xc281, (q15_t)0x51af, (q15_t)0xc27e,
+ (q15_t)0x51a3, (q15_t)0xc27a, (q15_t)0x5197, (q15_t)0xc277, (q15_t)0x518b, (q15_t)0xc273, (q15_t)0x517f, (q15_t)0xc270,
+ (q15_t)0x5173, (q15_t)0xc26d, (q15_t)0x5167, (q15_t)0xc269, (q15_t)0x515a, (q15_t)0xc266, (q15_t)0x514e, (q15_t)0xc262,
+ (q15_t)0x5142, (q15_t)0xc25f, (q15_t)0x5136, (q15_t)0xc25c, (q15_t)0x512a, (q15_t)0xc258, (q15_t)0x511e, (q15_t)0xc255,
+ (q15_t)0x5112, (q15_t)0xc251, (q15_t)0x5106, (q15_t)0xc24e, (q15_t)0x50fa, (q15_t)0xc24b, (q15_t)0x50ed, (q15_t)0xc247,
+ (q15_t)0x50e1, (q15_t)0xc244, (q15_t)0x50d5, (q15_t)0xc241, (q15_t)0x50c9, (q15_t)0xc23e, (q15_t)0x50bd, (q15_t)0xc23a,
+ (q15_t)0x50b1, (q15_t)0xc237, (q15_t)0x50a5, (q15_t)0xc234, (q15_t)0x5099, (q15_t)0xc230, (q15_t)0x508c, (q15_t)0xc22d,
+ (q15_t)0x5080, (q15_t)0xc22a, (q15_t)0x5074, (q15_t)0xc227, (q15_t)0x5068, (q15_t)0xc223, (q15_t)0x505c, (q15_t)0xc220,
+ (q15_t)0x5050, (q15_t)0xc21d, (q15_t)0x5044, (q15_t)0xc21a, (q15_t)0x5037, (q15_t)0xc217, (q15_t)0x502b, (q15_t)0xc213,
+ (q15_t)0x501f, (q15_t)0xc210, (q15_t)0x5013, (q15_t)0xc20d, (q15_t)0x5007, (q15_t)0xc20a, (q15_t)0x4ffb, (q15_t)0xc207,
+ (q15_t)0x4fee, (q15_t)0xc204, (q15_t)0x4fe2, (q15_t)0xc201, (q15_t)0x4fd6, (q15_t)0xc1fd, (q15_t)0x4fca, (q15_t)0xc1fa,
+ (q15_t)0x4fbe, (q15_t)0xc1f7, (q15_t)0x4fb2, (q15_t)0xc1f4, (q15_t)0x4fa5, (q15_t)0xc1f1, (q15_t)0x4f99, (q15_t)0xc1ee,
+ (q15_t)0x4f8d, (q15_t)0xc1eb, (q15_t)0x4f81, (q15_t)0xc1e8, (q15_t)0x4f75, (q15_t)0xc1e5, (q15_t)0x4f68, (q15_t)0xc1e2,
+ (q15_t)0x4f5c, (q15_t)0xc1df, (q15_t)0x4f50, (q15_t)0xc1dc, (q15_t)0x4f44, (q15_t)0xc1d9, (q15_t)0x4f38, (q15_t)0xc1d6,
+ (q15_t)0x4f2b, (q15_t)0xc1d3, (q15_t)0x4f1f, (q15_t)0xc1d0, (q15_t)0x4f13, (q15_t)0xc1cd, (q15_t)0x4f07, (q15_t)0xc1ca,
+ (q15_t)0x4efb, (q15_t)0xc1c7, (q15_t)0x4eee, (q15_t)0xc1c4, (q15_t)0x4ee2, (q15_t)0xc1c1, (q15_t)0x4ed6, (q15_t)0xc1be,
+ (q15_t)0x4eca, (q15_t)0xc1bb, (q15_t)0x4ebd, (q15_t)0xc1b8, (q15_t)0x4eb1, (q15_t)0xc1b6, (q15_t)0x4ea5, (q15_t)0xc1b3,
+ (q15_t)0x4e99, (q15_t)0xc1b0, (q15_t)0x4e8c, (q15_t)0xc1ad, (q15_t)0x4e80, (q15_t)0xc1aa, (q15_t)0x4e74, (q15_t)0xc1a7,
+ (q15_t)0x4e68, (q15_t)0xc1a4, (q15_t)0x4e5c, (q15_t)0xc1a2, (q15_t)0x4e4f, (q15_t)0xc19f, (q15_t)0x4e43, (q15_t)0xc19c,
+ (q15_t)0x4e37, (q15_t)0xc199, (q15_t)0x4e2b, (q15_t)0xc196, (q15_t)0x4e1e, (q15_t)0xc194, (q15_t)0x4e12, (q15_t)0xc191,
+ (q15_t)0x4e06, (q15_t)0xc18e, (q15_t)0x4df9, (q15_t)0xc18b, (q15_t)0x4ded, (q15_t)0xc189, (q15_t)0x4de1, (q15_t)0xc186,
+ (q15_t)0x4dd5, (q15_t)0xc183, (q15_t)0x4dc8, (q15_t)0xc180, (q15_t)0x4dbc, (q15_t)0xc17e, (q15_t)0x4db0, (q15_t)0xc17b,
+ (q15_t)0x4da4, (q15_t)0xc178, (q15_t)0x4d97, (q15_t)0xc176, (q15_t)0x4d8b, (q15_t)0xc173, (q15_t)0x4d7f, (q15_t)0xc170,
+ (q15_t)0x4d72, (q15_t)0xc16e, (q15_t)0x4d66, (q15_t)0xc16b, (q15_t)0x4d5a, (q15_t)0xc168, (q15_t)0x4d4e, (q15_t)0xc166,
+ (q15_t)0x4d41, (q15_t)0xc163, (q15_t)0x4d35, (q15_t)0xc161, (q15_t)0x4d29, (q15_t)0xc15e, (q15_t)0x4d1c, (q15_t)0xc15b,
+ (q15_t)0x4d10, (q15_t)0xc159, (q15_t)0x4d04, (q15_t)0xc156, (q15_t)0x4cf8, (q15_t)0xc154, (q15_t)0x4ceb, (q15_t)0xc151,
+ (q15_t)0x4cdf, (q15_t)0xc14f, (q15_t)0x4cd3, (q15_t)0xc14c, (q15_t)0x4cc6, (q15_t)0xc14a, (q15_t)0x4cba, (q15_t)0xc147,
+ (q15_t)0x4cae, (q15_t)0xc145, (q15_t)0x4ca1, (q15_t)0xc142, (q15_t)0x4c95, (q15_t)0xc140, (q15_t)0x4c89, (q15_t)0xc13d,
+ (q15_t)0x4c7c, (q15_t)0xc13b, (q15_t)0x4c70, (q15_t)0xc138, (q15_t)0x4c64, (q15_t)0xc136, (q15_t)0x4c57, (q15_t)0xc134,
+ (q15_t)0x4c4b, (q15_t)0xc131, (q15_t)0x4c3f, (q15_t)0xc12f, (q15_t)0x4c32, (q15_t)0xc12c, (q15_t)0x4c26, (q15_t)0xc12a,
+ (q15_t)0x4c1a, (q15_t)0xc128, (q15_t)0x4c0d, (q15_t)0xc125, (q15_t)0x4c01, (q15_t)0xc123, (q15_t)0x4bf5, (q15_t)0xc120,
+ (q15_t)0x4be8, (q15_t)0xc11e, (q15_t)0x4bdc, (q15_t)0xc11c, (q15_t)0x4bd0, (q15_t)0xc119, (q15_t)0x4bc3, (q15_t)0xc117,
+ (q15_t)0x4bb7, (q15_t)0xc115, (q15_t)0x4bab, (q15_t)0xc113, (q15_t)0x4b9e, (q15_t)0xc110, (q15_t)0x4b92, (q15_t)0xc10e,
+ (q15_t)0x4b85, (q15_t)0xc10c, (q15_t)0x4b79, (q15_t)0xc109, (q15_t)0x4b6d, (q15_t)0xc107, (q15_t)0x4b60, (q15_t)0xc105,
+ (q15_t)0x4b54, (q15_t)0xc103, (q15_t)0x4b48, (q15_t)0xc100, (q15_t)0x4b3b, (q15_t)0xc0fe, (q15_t)0x4b2f, (q15_t)0xc0fc,
+ (q15_t)0x4b23, (q15_t)0xc0fa, (q15_t)0x4b16, (q15_t)0xc0f8, (q15_t)0x4b0a, (q15_t)0xc0f6, (q15_t)0x4afd, (q15_t)0xc0f3,
+ (q15_t)0x4af1, (q15_t)0xc0f1, (q15_t)0x4ae5, (q15_t)0xc0ef, (q15_t)0x4ad8, (q15_t)0xc0ed, (q15_t)0x4acc, (q15_t)0xc0eb,
+ (q15_t)0x4ac0, (q15_t)0xc0e9, (q15_t)0x4ab3, (q15_t)0xc0e7, (q15_t)0x4aa7, (q15_t)0xc0e4, (q15_t)0x4a9a, (q15_t)0xc0e2,
+ (q15_t)0x4a8e, (q15_t)0xc0e0, (q15_t)0x4a82, (q15_t)0xc0de, (q15_t)0x4a75, (q15_t)0xc0dc, (q15_t)0x4a69, (q15_t)0xc0da,
+ (q15_t)0x4a5c, (q15_t)0xc0d8, (q15_t)0x4a50, (q15_t)0xc0d6, (q15_t)0x4a44, (q15_t)0xc0d4, (q15_t)0x4a37, (q15_t)0xc0d2,
+ (q15_t)0x4a2b, (q15_t)0xc0d0, (q15_t)0x4a1e, (q15_t)0xc0ce, (q15_t)0x4a12, (q15_t)0xc0cc, (q15_t)0x4a06, (q15_t)0xc0ca,
+ (q15_t)0x49f9, (q15_t)0xc0c8, (q15_t)0x49ed, (q15_t)0xc0c6, (q15_t)0x49e0, (q15_t)0xc0c4, (q15_t)0x49d4, (q15_t)0xc0c2,
+ (q15_t)0x49c7, (q15_t)0xc0c0, (q15_t)0x49bb, (q15_t)0xc0be, (q15_t)0x49af, (q15_t)0xc0bd, (q15_t)0x49a2, (q15_t)0xc0bb,
+ (q15_t)0x4996, (q15_t)0xc0b9, (q15_t)0x4989, (q15_t)0xc0b7, (q15_t)0x497d, (q15_t)0xc0b5, (q15_t)0x4970, (q15_t)0xc0b3,
+ (q15_t)0x4964, (q15_t)0xc0b1, (q15_t)0x4958, (q15_t)0xc0af, (q15_t)0x494b, (q15_t)0xc0ae, (q15_t)0x493f, (q15_t)0xc0ac,
+ (q15_t)0x4932, (q15_t)0xc0aa, (q15_t)0x4926, (q15_t)0xc0a8, (q15_t)0x4919, (q15_t)0xc0a6, (q15_t)0x490d, (q15_t)0xc0a5,
+ (q15_t)0x4901, (q15_t)0xc0a3, (q15_t)0x48f4, (q15_t)0xc0a1, (q15_t)0x48e8, (q15_t)0xc09f, (q15_t)0x48db, (q15_t)0xc09e,
+ (q15_t)0x48cf, (q15_t)0xc09c, (q15_t)0x48c2, (q15_t)0xc09a, (q15_t)0x48b6, (q15_t)0xc098, (q15_t)0x48a9, (q15_t)0xc097,
+ (q15_t)0x489d, (q15_t)0xc095, (q15_t)0x4891, (q15_t)0xc093, (q15_t)0x4884, (q15_t)0xc092, (q15_t)0x4878, (q15_t)0xc090,
+ (q15_t)0x486b, (q15_t)0xc08e, (q15_t)0x485f, (q15_t)0xc08d, (q15_t)0x4852, (q15_t)0xc08b, (q15_t)0x4846, (q15_t)0xc089,
+ (q15_t)0x4839, (q15_t)0xc088, (q15_t)0x482d, (q15_t)0xc086, (q15_t)0x4820, (q15_t)0xc085, (q15_t)0x4814, (q15_t)0xc083,
+ (q15_t)0x4807, (q15_t)0xc081, (q15_t)0x47fb, (q15_t)0xc080, (q15_t)0x47ef, (q15_t)0xc07e, (q15_t)0x47e2, (q15_t)0xc07d,
+ (q15_t)0x47d6, (q15_t)0xc07b, (q15_t)0x47c9, (q15_t)0xc07a, (q15_t)0x47bd, (q15_t)0xc078, (q15_t)0x47b0, (q15_t)0xc077,
+ (q15_t)0x47a4, (q15_t)0xc075, (q15_t)0x4797, (q15_t)0xc074, (q15_t)0x478b, (q15_t)0xc072, (q15_t)0x477e, (q15_t)0xc071,
+ (q15_t)0x4772, (q15_t)0xc06f, (q15_t)0x4765, (q15_t)0xc06e, (q15_t)0x4759, (q15_t)0xc06c, (q15_t)0x474c, (q15_t)0xc06b,
+ (q15_t)0x4740, (q15_t)0xc069, (q15_t)0x4733, (q15_t)0xc068, (q15_t)0x4727, (q15_t)0xc067, (q15_t)0x471a, (q15_t)0xc065,
+ (q15_t)0x470e, (q15_t)0xc064, (q15_t)0x4701, (q15_t)0xc062, (q15_t)0x46f5, (q15_t)0xc061, (q15_t)0x46e8, (q15_t)0xc060,
+ (q15_t)0x46dc, (q15_t)0xc05e, (q15_t)0x46cf, (q15_t)0xc05d, (q15_t)0x46c3, (q15_t)0xc05c, (q15_t)0x46b6, (q15_t)0xc05a,
+ (q15_t)0x46aa, (q15_t)0xc059, (q15_t)0x469d, (q15_t)0xc058, (q15_t)0x4691, (q15_t)0xc056, (q15_t)0x4684, (q15_t)0xc055,
+ (q15_t)0x4678, (q15_t)0xc054, (q15_t)0x466b, (q15_t)0xc053, (q15_t)0x465f, (q15_t)0xc051, (q15_t)0x4652, (q15_t)0xc050,
+ (q15_t)0x4646, (q15_t)0xc04f, (q15_t)0x4639, (q15_t)0xc04e, (q15_t)0x462d, (q15_t)0xc04c, (q15_t)0x4620, (q15_t)0xc04b,
+ (q15_t)0x4614, (q15_t)0xc04a, (q15_t)0x4607, (q15_t)0xc049, (q15_t)0x45fb, (q15_t)0xc048, (q15_t)0x45ee, (q15_t)0xc047,
+ (q15_t)0x45e2, (q15_t)0xc045, (q15_t)0x45d5, (q15_t)0xc044, (q15_t)0x45c9, (q15_t)0xc043, (q15_t)0x45bc, (q15_t)0xc042,
+ (q15_t)0x45b0, (q15_t)0xc041, (q15_t)0x45a3, (q15_t)0xc040, (q15_t)0x4597, (q15_t)0xc03f, (q15_t)0x458a, (q15_t)0xc03d,
+ (q15_t)0x457e, (q15_t)0xc03c, (q15_t)0x4571, (q15_t)0xc03b, (q15_t)0x4565, (q15_t)0xc03a, (q15_t)0x4558, (q15_t)0xc039,
+ (q15_t)0x454c, (q15_t)0xc038, (q15_t)0x453f, (q15_t)0xc037, (q15_t)0x4533, (q15_t)0xc036, (q15_t)0x4526, (q15_t)0xc035,
+ (q15_t)0x451a, (q15_t)0xc034, (q15_t)0x450d, (q15_t)0xc033, (q15_t)0x4500, (q15_t)0xc032, (q15_t)0x44f4, (q15_t)0xc031,
+ (q15_t)0x44e7, (q15_t)0xc030, (q15_t)0x44db, (q15_t)0xc02f, (q15_t)0x44ce, (q15_t)0xc02e, (q15_t)0x44c2, (q15_t)0xc02d,
+ (q15_t)0x44b5, (q15_t)0xc02c, (q15_t)0x44a9, (q15_t)0xc02b, (q15_t)0x449c, (q15_t)0xc02b, (q15_t)0x4490, (q15_t)0xc02a,
+ (q15_t)0x4483, (q15_t)0xc029, (q15_t)0x4477, (q15_t)0xc028, (q15_t)0x446a, (q15_t)0xc027, (q15_t)0x445e, (q15_t)0xc026,
+ (q15_t)0x4451, (q15_t)0xc025, (q15_t)0x4444, (q15_t)0xc024, (q15_t)0x4438, (q15_t)0xc024, (q15_t)0x442b, (q15_t)0xc023,
+ (q15_t)0x441f, (q15_t)0xc022, (q15_t)0x4412, (q15_t)0xc021, (q15_t)0x4406, (q15_t)0xc020, (q15_t)0x43f9, (q15_t)0xc020,
+ (q15_t)0x43ed, (q15_t)0xc01f, (q15_t)0x43e0, (q15_t)0xc01e, (q15_t)0x43d4, (q15_t)0xc01d, (q15_t)0x43c7, (q15_t)0xc01d,
+ (q15_t)0x43bb, (q15_t)0xc01c, (q15_t)0x43ae, (q15_t)0xc01b, (q15_t)0x43a1, (q15_t)0xc01a, (q15_t)0x4395, (q15_t)0xc01a,
+ (q15_t)0x4388, (q15_t)0xc019, (q15_t)0x437c, (q15_t)0xc018, (q15_t)0x436f, (q15_t)0xc018, (q15_t)0x4363, (q15_t)0xc017,
+ (q15_t)0x4356, (q15_t)0xc016, (q15_t)0x434a, (q15_t)0xc016, (q15_t)0x433d, (q15_t)0xc015, (q15_t)0x4330, (q15_t)0xc014,
+ (q15_t)0x4324, (q15_t)0xc014, (q15_t)0x4317, (q15_t)0xc013, (q15_t)0x430b, (q15_t)0xc013, (q15_t)0x42fe, (q15_t)0xc012,
+ (q15_t)0x42f2, (q15_t)0xc011, (q15_t)0x42e5, (q15_t)0xc011, (q15_t)0x42d9, (q15_t)0xc010, (q15_t)0x42cc, (q15_t)0xc010,
+ (q15_t)0x42c0, (q15_t)0xc00f, (q15_t)0x42b3, (q15_t)0xc00f, (q15_t)0x42a6, (q15_t)0xc00e, (q15_t)0x429a, (q15_t)0xc00e,
+ (q15_t)0x428d, (q15_t)0xc00d, (q15_t)0x4281, (q15_t)0xc00d, (q15_t)0x4274, (q15_t)0xc00c, (q15_t)0x4268, (q15_t)0xc00c,
+ (q15_t)0x425b, (q15_t)0xc00b, (q15_t)0x424e, (q15_t)0xc00b, (q15_t)0x4242, (q15_t)0xc00a, (q15_t)0x4235, (q15_t)0xc00a,
+ (q15_t)0x4229, (q15_t)0xc009, (q15_t)0x421c, (q15_t)0xc009, (q15_t)0x4210, (q15_t)0xc009, (q15_t)0x4203, (q15_t)0xc008,
+ (q15_t)0x41f7, (q15_t)0xc008, (q15_t)0x41ea, (q15_t)0xc007, (q15_t)0x41dd, (q15_t)0xc007, (q15_t)0x41d1, (q15_t)0xc007,
+ (q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005,
+ (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004,
+ (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003,
+ (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002,
+ (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001,
+ (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001,
+ (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000,
+ (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000,
+ (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000,
+};
+
+#endif
+/**
+ @} end of RealFFT_Table group
+ */
+
+/**
+ @ingroup DCT4_IDCT4
+ */
+
+/**
+ @addtogroup DCT4_IDCT4_Table DCT Type IV Tables
+ @{
+ */
+
+/**
+ @brief Weights Table
+ */
+
+/**
+ @par
+ Weights tables are generated using the formula : weights[n] = e^(-j*n*pi/(2*N))+ @par + C command to generate the table +
+ for(i = 0; i< N; i++)
+ {
+ weights[(2*i)] = cos (i*c);
+ weights[(2*i)+1] = -sin (i*c);
+ }
+ @par
+ where N is the Number of weights to be calculated and c is pi/(2*N)
+ @par
+ In the tables below the real and imaginary values are placed alternatively, hence the
+ array length is 2*N.
+ */
+
+
+/**
+ @par
+ cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))+ @par + C command to generate the table + @par +
for(i = 0; i< N; i++)
+ {
+ cos_factors[i]= 2 * cos((2*i+1)*c/2);
+ }
+ @par
+ where N is the number of factors to generate and c is pi/(2*N)
+*/
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+ const float32_t Weights_128[256] = {
+ 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, -0.012271538285719925f,
+ 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, -0.036807222941358832f,
+ 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, -0.061320736302208578f,
+ 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, -0.085797312344439894f,
+ 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, -0.110222207293883060f,
+ 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, -0.134580708507126170f,
+ 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, -0.158858143333861450f,
+ 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, -0.183039887955140950f,
+ 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, -0.207111376192218560f,
+ 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, -0.231058108280671110f,
+ 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, -0.254865659604514570f,
+ 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, -0.278519689385053060f,
+ 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, -0.302005949319228080f,
+ 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, -0.325310292162262930f,
+ 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, -0.348418680249434560f,
+ 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, -0.371317193951837540f,
+ 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, -0.393992040061048100f,
+ 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, -0.416429560097637150f,
+ 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, -0.438616238538527660f,
+ 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, -0.460538710958240010f,
+ 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, -0.482183772079122720f,
+ 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, -0.503538383725717580f,
+ 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, -0.524589682678468950f,
+ 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, -0.545324988422046460f,
+ 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, -0.565731810783613120f,
+ 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, -0.585797857456438860f,
+ 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, -0.605511041404325550f,
+ 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, -0.624859488142386340f,
+ 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, -0.643831542889791390f,
+ 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, -0.662415777590171780f,
+ 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, -0.680600997795453020f,
+ 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, -0.698376249408972920f,
+ 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, -0.715730825283818590f,
+ 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, -0.732654271672412820f,
+ 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, -0.749136394523459260f,
+ 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, -0.765167265622458960f,
+ 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, -0.780737228572094380f,
+ 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, -0.795836904608883460f,
+ 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, -0.810457198252594770f,
+ 0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, -0.824589302785025290f,
+ 0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, -0.838224705554837970f,
+ 0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, -0.851355193105265200f,
+ 0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, -0.863972856121586700f,
+ 0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, -0.876070094195406600f,
+ 0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, -0.887639620402853930f,
+ 0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, -0.898674465693953820f,
+ 0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, -0.909167983090522270f,
+ 0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, -0.919113851690057770f,
+ 0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, -0.928506080473215480f,
+ 0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, -0.937339011912574960f,
+ 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, -0.945607325380521280f,
+ 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, -0.953306040354193750f,
+ 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, -0.960430519415565790f,
+ 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, -0.966976471044852070f,
+ 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, -0.972939952205560070f,
+ 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, -0.978317370719627650f,
+ 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, -0.983105487431216290f,
+ 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, -0.987301418157858430f,
+ 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, -0.990902635427780010f,
+ 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, -0.993906970002356060f,
+ 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, -0.996312612182778000f,
+ 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, -0.998118112900149180f,
+ 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, -0.999322384588349540f,
+ 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, -0.999924701839144500f
+};
+
+ const float32_t cos_factors_128[128] = {
+ 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
+ 0.999077727752645360f,
+ 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
+ 0.995767414467659820f,
+ 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
+ 0.990058210262297120f,
+ 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
+ 0.981963869109555240f,
+ 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
+ 0.971503890986251780f,
+ 0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
+ 0.958703474895871600f,
+ 0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
+ 0.943593458161960390f,
+ 0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
+ 0.926210242138311380f,
+ 0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
+ 0.906595704514915330f,
+ 0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
+ 0.884797098430937790f,
+ 0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
+ 0.860866938637767310f,
+ 0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
+ 0.834862874986380010f,
+ 0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
+ 0.806847553543799330f,
+ 0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
+ 0.776888465673232440f,
+ 0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
+ 0.745057785441466060f,
+ 0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
+ 0.711432195745216430f,
+ 0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
+ 0.676092703575316030f,
+ 0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
+ 0.639124444863775730f,
+ 0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
+ 0.600616479383868970f,
+ 0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
+ 0.560661576197336030f,
+ 0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
+ 0.519355990165589530f,
+ 0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
+ 0.476799230063322250f,
+ 0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
+ 0.433093818853152010f,
+ 0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
+ 0.388345046698826300f,
+ 0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
+ 0.342660717311994380f,
+ 0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
+ 0.296150888243623960f,
+ 0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
+ 0.248927605745720260f,
+ 0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
+ 0.201104634842091960f,
+ 0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
+ 0.152797185258443410f,
+ 0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
+ 0.104121633872054730f,
+ 0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
+ 0.055195244349690031f,
+ 0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
+ 0.006135884649154515f
+};
+
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+ const float32_t Weights_512[1024] = {
+ 1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, -0.003067956762965976f,
+ 0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, -0.009203754782059819f,
+ 0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, -0.015339206284988100f,
+ 0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, -0.021474080275469508f,
+ 0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, -0.027608145778965740f,
+ 0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, -0.033741171851377580f,
+ 0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, -0.039872927587739811f,
+ 0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, -0.046003182130914623f,
+ 0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, -0.052131704680283324f,
+ 0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, -0.058258264500435752f,
+ 0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, -0.064382630929857465f,
+ 0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, -0.070504573389613856f,
+ 0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f, -0.076623861392031492f,
+ 0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f, -0.082740264549375692f,
+ 0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f, -0.088853552582524600f,
+ 0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f, -0.094963495329638992f,
+ 0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f, -0.101069862754827820f,
+ 0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f, -0.107172424956808840f,
+ 0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f, -0.113270952177564350f,
+ 0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f, -0.119365214810991350f,
+ 0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f, -0.125454983411546230f,
+ 0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f, -0.131540028702883120f,
+ 0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f, -0.137620121586486040f,
+ 0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f, -0.143695033150294470f,
+ 0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f, -0.149764534677321510f,
+ 0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f, -0.155828397654265230f,
+ 0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f, -0.161886393780111830f,
+ 0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f, -0.167938294974731170f,
+ 0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f, -0.173983873387463820f,
+ 0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f, -0.180022901405699510f,
+ 0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f, -0.186055151663446630f,
+ 0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f, -0.192080397049892440f,
+ 0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f, -0.198098410717953560f,
+ 0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f, -0.204108966092816870f,
+ 0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f, -0.210111836880469610f,
+ 0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f, -0.216106797076219520f,
+ 0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f, -0.222093620973203510f,
+ 0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f, -0.228072083170885730f,
+ 0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f, -0.234041958583543430f,
+ 0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f, -0.240003022448741500f,
+ 0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f, -0.245955050335794590f,
+ 0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f, -0.251897818154216970f,
+ 0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f, -0.257831102162158990f,
+ 0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f, -0.263754678974831350f,
+ 0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f, -0.269668325572915090f,
+ 0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f, -0.275571819310958140f,
+ 0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f, -0.281464937925757940f,
+ 0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f, -0.287347459544729510f,
+ 0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f, -0.293219162694258630f,
+ 0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f, -0.299079826308040480f,
+ 0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f, -0.304929229735402370f,
+ 0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f, -0.310767152749611470f,
+ 0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f, -0.316593375556165850f,
+ 0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f, -0.322407678801069850f,
+ 0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f, -0.328209843579092500f,
+ 0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f, -0.333999651442009380f,
+ 0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f, -0.339776884406826850f,
+ 0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f, -0.345541324963989090f,
+ 0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f, -0.351292756085567090f,
+ 0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f, -0.357030961233429980f,
+ 0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f, -0.362755724367397230f,
+ 0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f, -0.368466829953372320f,
+ 0.928506080473215590f, -0.371317193951837540f, 0.927362525650401110f, -0.374164062971457930f,
+ 0.926210242138311380f, -0.377007410216418260f, 0.925049240782677580f, -0.379847208924051160f,
+ 0.923879532511286740f, -0.382683432365089780f, 0.922701128333878630f, -0.385516053843918850f,
+ 0.921514039342042010f, -0.388345046698826250f, 0.920318276709110590f, -0.391170384302253870f,
+ 0.919113851690057770f, -0.393992040061048100f, 0.917900775621390500f, -0.396809987416710310f,
+ 0.916679059921042700f, -0.399624199845646790f, 0.915448716088267830f, -0.402434650859418430f,
+ 0.914209755703530690f, -0.405241314004989860f, 0.912962190428398210f, -0.408044162864978690f,
+ 0.911706032005429880f, -0.410843171057903910f, 0.910441292258067250f, -0.413638312238434500f,
+ 0.909167983090522380f, -0.416429560097637150f, 0.907886116487666260f, -0.419216888363223910f,
+ 0.906595704514915330f, -0.422000270799799680f, 0.905296759318118820f, -0.424779681209108810f,
+ 0.903989293123443340f, -0.427555093430282080f, 0.902673318237258830f, -0.430326481340082610f,
+ 0.901348847046022030f, -0.433093818853151960f, 0.900015892016160280f, -0.435857079922255470f,
+ 0.898674465693953820f, -0.438616238538527660f, 0.897324580705418320f, -0.441371268731716670f,
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+ 0.870086991108711460f, -0.492898192229784040f, 0.868570705971340900f, -0.495565261825772540f,
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+ 0.170961888760301360f, -0.985277642388941220f, 0.167938294974731230f, -0.985797509167567370f,
+ 0.164913120489970090f, -0.986308097244598670f, 0.161886393780111910f, -0.986809401814185420f,
+ 0.158858143333861390f, -0.987301418157858430f, 0.155828397654265320f, -0.987784141644572180f,
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+ 0.140658239332849240f, -0.990058210262297120f, 0.137620121586486180f, -0.990485084256456980f,
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+ 0.128498110793793220f, -0.991709753669099530f, 0.125454983411546210f, -0.992099313142191800f,
+ 0.122410675199216280f, -0.992479534598709970f, 0.119365214810991350f, -0.992850414459865100f,
+ 0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f, -0.993564135520595300f,
+ 0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f, -0.994240449453187900f,
+ 0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f, -0.994879330794805620f,
+ 0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f, -0.995480755491926940f,
+ 0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f, -0.996044700901251970f,
+ 0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f, -0.996571145790554840f,
+ 0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f, -0.997060070339482960f,
+ 0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f, -0.997511456140303450f,
+ 0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f, -0.997925286198596000f,
+ 0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f, -0.998301544933892890f,
+ 0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f, -0.998640218180265270f,
+ 0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f, -0.998941293186856870f,
+ 0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f, -0.999204758618363890f,
+ 0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f, -0.999430604555461730f,
+ 0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f, -0.999618822495178640f,
+ 0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f, -0.999769405351215280f,
+ 0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f, -0.999882347454212560f,
+ 0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f, -0.999957644551963900f,
+ 0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f, -0.999995293809576190f
+};
+
+ const float32_t cos_factors_512[512] = {
+ 0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
+ 0.999942349676023910f,
+ 0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
+ 0.999735288260561680f,
+ 0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
+ 0.999377670388002850f,
+ 0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
+ 0.998869549914283560f,
+ 0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
+ 0.998211003360478190f,
+ 0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
+ 0.997402129901275300f,
+ 0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
+ 0.996443051350042630f,
+ 0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
+ 0.995333912140482280f,
+ 0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
+ 0.994074879304879370f,
+ 0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
+ 0.992666142448948020f,
+ 0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
+ 0.991107913723276890f,
+ 0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
+ 0.989400427791380380f,
+ 0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
+ 0.987543941794359230f,
+ 0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
+ 0.985538735312176060f,
+ 0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
+ 0.983385110321551180f,
+ 0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
+ 0.981083391150486710f,
+ 0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
+ 0.978633924429423210f,
+ 0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
+ 0.976037079039039020f,
+ 0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
+ 0.973293246054698250f,
+ 0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
+ 0.970402838687555500f,
+ 0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
+ 0.967366292222328510f,
+ 0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
+ 0.964184063951745830f,
+ 0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
+ 0.960856633107679660f,
+ 0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
+ 0.957384500788975860f,
+ 0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
+ 0.953768189885990330f,
+ 0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
+ 0.950008245001843000f,
+ 0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
+ 0.946105232370403450f,
+ 0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
+ 0.942059739771017310f,
+ 0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
+ 0.937872376439989890f,
+ 0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
+ 0.933543772978836170f,
+ 0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
+ 0.929074581259315860f,
+ 0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
+ 0.924465474325262600f,
+ 0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
+ 0.919717146291227360f,
+ 0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
+ 0.914830312237946200f,
+ 0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
+ 0.909805708104652220f,
+ 0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
+ 0.904644090578246240f,
+ 0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
+ 0.899346236979341570f,
+ 0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
+ 0.893912945145203250f,
+ 0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
+ 0.888345033309596350f,
+ 0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
+ 0.882643339979562790f,
+ 0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
+ 0.876808723809145650f,
+ 0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
+ 0.870842063470078980f,
+ 0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
+ 0.864744257519462380f,
+ 0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
+ 0.858516224264442740f,
+ 0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
+ 0.852158901623919830f,
+ 0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
+ 0.845673246987299070f,
+ 0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
+ 0.839060237070312740f,
+ 0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
+ 0.832320867767929680f,
+ 0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
+ 0.825456154004377550f,
+ 0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
+ 0.818467129580298660f,
+ 0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
+ 0.811354847017063730f,
+ 0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
+ 0.804120377398265810f,
+ 0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
+ 0.796764810208418830f,
+ 0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
+ 0.789289253168885650f,
+ 0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
+ 0.781694832071059390f,
+ 0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
+ 0.773982690606822900f,
+ 0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
+ 0.766153990196312920f,
+ 0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
+ 0.758209909813015280f,
+ 0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
+ 0.750151645806215070f,
+ 0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
+ 0.741980411720831070f,
+ 0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
+ 0.733697438114660370f,
+ 0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
+ 0.725303972373060770f,
+ 0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
+ 0.716801278521099540f,
+ 0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
+ 0.708190637033195400f,
+ 0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
+ 0.699473344640283770f,
+ 0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f,
+ 0.690650714134534720f,
+ 0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
+ 0.681724074171649820f,
+ 0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
+ 0.672694769070772970f,
+ 0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
+ 0.663564158612039880f,
+ 0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
+ 0.654333617831800550f,
+ 0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
+ 0.645004536815544040f,
+ 0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
+ 0.635578320488556230f,
+ 0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
+ 0.626056388404343520f,
+ 0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
+ 0.616440174530853650f,
+ 0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
+ 0.606731127034524480f,
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+ 0.596930708062196500f,
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+ 0.587040393520918080f,
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+ 0.577061672855679550f,
+ 0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
+ 0.566996048825108680f,
+ 0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
+ 0.556845037275160100f,
+ 0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
+ 0.546610166910834860f,
+ 0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
+ 0.536292979065963180f,
+ 0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
+ 0.525895027471084740f,
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+ 0.515417878019463150f,
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+ 0.504863108531267480f,
+ 0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
+ 0.494232308515959730f,
+ 0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
+ 0.483527078932918740f,
+ 0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
+ 0.472749031950342900f,
+ 0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
+ 0.461899790702462840f,
+ 0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
+ 0.450980989045103810f,
+ 0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
+ 0.439994271309633260f,
+ 0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
+ 0.428941292055329550f,
+ 0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
+ 0.417823715820212380f,
+ 0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
+ 0.406643216870369140f,
+ 0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
+ 0.395401478947816300f,
+ 0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
+ 0.384100195016935040f,
+ 0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
+ 0.372741067009515810f,
+ 0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
+ 0.361325805568454340f,
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+ 0.349856129790135030f,
+ 0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
+ 0.338333766965541290f,
+ 0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
+ 0.326760452320131790f,
+ 0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
+ 0.315137928752522440f,
+ 0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
+ 0.303467946572011370f,
+ 0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
+ 0.291752263234989370f,
+ 0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
+ 0.279992643080273380f,
+ 0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
+ 0.268190857063403180f,
+ 0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
+ 0.256348682489942910f,
+ 0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
+ 0.244467902747824210f,
+ 0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
+ 0.232550307038775330f,
+ 0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
+ 0.220597690108873650f,
+ 0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
+ 0.208611851978263460f,
+ 0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
+ 0.196594597670080220f,
+ 0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
+ 0.184547736938619640f,
+ 0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
+ 0.172473083996796030f,
+ 0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
+ 0.160372457242928400f,
+ 0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
+ 0.148247678986896200f,
+ 0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
+ 0.136100575175706200f,
+ 0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
+ 0.123932975118512200f,
+ 0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
+ 0.111746711211126660f,
+ 0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
+ 0.099543618660069444f,
+ 0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
+ 0.087325535206192226f,
+ 0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
+ 0.075094300847921291f,
+ 0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
+ 0.062851757564161420f,
+ 0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
+ 0.050599749036899337f,
+ 0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
+ 0.038340120373552791f,
+ 0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
+ 0.026074717829104040f,
+ 0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
+ 0.013805388528060349f,
+ 0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
+ 0.001533980186284766f
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+ const float32_t Weights_2048[4096] = {
+ 1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f, -0.000766990318742704f,
+ 0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f, -0.002300969151425805f,
+ 0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f, -0.003834942569706228f,
+ 0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f, -0.005368906963996343f,
+ 0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f, -0.006902858724729756f,
+ 0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f, -0.008436794242369799f,
+ 0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f, -0.009970709907418031f,
+ 0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f, -0.011504602110422714f,
+ 0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f, -0.013038467241987334f,
+ 0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f, -0.014572301692779064f,
+ 0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f, -0.016106101853537287f,
+ 0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f, -0.017639864115082053f,
+ 0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f, -0.019173584868322623f,
+ 0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f, -0.020707260504265895f,
+ 0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f, -0.022240887414024961f,
+ 0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f, -0.023774461988827555f,
+ 0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f, -0.025307980620024571f,
+ 0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f, -0.026841439699098531f,
+ 0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f, -0.028374835617672099f,
+ 0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f, -0.029908164767516555f,
+ 0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f, -0.031441423540560301f,
+ 0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f, -0.032974608328897335f,
+ 0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f, -0.034507715524795750f,
+ 0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f, -0.036040741520706229f,
+ 0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f, -0.037573682709270494f,
+ 0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f, -0.039106535483329888f,
+ 0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f, -0.040639296235933736f,
+ 0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f, -0.042171961360347947f,
+ 0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f, -0.043704527250063421f,
+ 0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f, -0.045236990298804590f,
+ 0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f, -0.046769346900537863f,
+ 0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f, -0.048301593449480144f,
+ 0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f, -0.049833726340107277f,
+ 0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f, -0.051365741967162593f,
+ 0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f, -0.052897636725665324f,
+ 0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f, -0.054429407010919133f,
+ 0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f, -0.055961049218520569f,
+ 0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f, -0.057492559744367566f,
+ 0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f, -0.059023934984667931f,
+ 0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f, -0.060555171335947788f,
+ 0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f, -0.062086265195060088f,
+ 0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f, -0.063617212959193106f,
+ 0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f, -0.065148011025878833f,
+ 0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f, -0.066678655793001557f,
+ 0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f, -0.068209143658806329f,
+ 0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f, -0.069739471021907307f,
+ 0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f, -0.071269634281296401f,
+ 0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f, -0.072799629836351673f,
+ 0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f, -0.074329454086845756f,
+ 0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f, -0.075859103432954447f,
+ 0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f, -0.077388574275265049f,
+ 0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f, -0.078917863014784942f,
+ 0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f, -0.080446966052950014f,
+ 0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f, -0.081975879791633066f,
+ 0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f, -0.083504600633152432f,
+ 0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f, -0.085033124980280275f,
+ 0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f, -0.086561449236251170f,
+ 0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f, -0.088089569804770507f,
+ 0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f, -0.089617483090022959f,
+ 0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f, -0.091145185496681005f,
+ 0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f, -0.092672673429913310f,
+ 0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f, -0.094199943295393204f,
+ 0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f, -0.095726991499307162f,
+ 0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f, -0.097253814448363271f,
+ 0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f, -0.098780408549799623f,
+ 0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f, -0.100306770211392860f,
+ 0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f, -0.101832895841466530f,
+ 0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f, -0.103358781848899610f,
+ 0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f, -0.104884424643134970f,
+ 0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f, -0.106409820634187680f,
+ 0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f, -0.107934966232653650f,
+ 0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f, -0.109459857849717980f,
+ 0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f, -0.110984491897163390f,
+ 0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f, -0.112508864787378690f,
+ 0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f, -0.114032972933367200f,
+ 0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f, -0.115556812748755260f,
+ 0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f, -0.117080380647800590f,
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+ 0.088853552582524684f, -0.996044700901251970f, 0.088089569804770507f,
+ -0.996112557742151130f,
+ 0.087325535206192226f, -0.996179828595696870f, 0.086561449236251239f,
+ -0.996246513422315520f,
+ 0.085797312344439880f, -0.996312612182778000f, 0.085033124980280414f,
+ -0.996378124838200210f,
+ 0.084268887593324127f, -0.996443051350042630f, 0.083504600633152404f,
+ -0.996507391680110820f,
+ 0.082740264549375803f, -0.996571145790554840f, 0.081975879791633108f,
+ -0.996634313643869900f,
+ 0.081211446809592386f, -0.996696895202896060f, 0.080446966052950097f,
+ -0.996758890430818000f,
+ 0.079682437971430126f, -0.996820299291165670f, 0.078917863014785095f,
+ -0.996881121747813850f,
+ 0.078153241632794315f, -0.996941357764982160f, 0.077388574275265049f,
+ -0.997001007307235290f,
+ 0.076623861392031617f, -0.997060070339482960f, 0.075859103432954503f,
+ -0.997118546826979980f,
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+ -0.997233740030466160f,
+ 0.073564563599667454f, -0.997290456678690210f, 0.072799629836351618f,
+ -0.997346586646633230f,
+ 0.072034653246889416f, -0.997402129901275300f, 0.071269634281296415f,
+ -0.997457086409941910f,
+ 0.070504573389614009f, -0.997511456140303450f, 0.069739471021907376f,
+ -0.997565239060375750f,
+ 0.068974327628266732f, -0.997618435138519550f, 0.068209143658806454f,
+ -0.997671044343441000f,
+ 0.067443919563664106f, -0.997723066644191640f, 0.066678655793001543f,
+ -0.997774502010167820f,
+ 0.065913352797003930f, -0.997825350411111640f, 0.065148011025878860f,
+ -0.997875611817110150f,
+ 0.064382630929857410f, -0.997925286198596000f, 0.063617212959193190f,
+ -0.997974373526346990f,
+ 0.062851757564161420f, -0.998022873771486240f, 0.062086265195060247f,
+ -0.998070786905482340f,
+ 0.061320736302208648f, -0.998118112900149180f, 0.060555171335947781f,
+ -0.998164851727646240f,
+ 0.059789570746640007f, -0.998211003360478190f, 0.059023934984667986f,
+ -0.998256567771495180f,
+ 0.058258264500435732f, -0.998301544933892890f, 0.057492559744367684f,
+ -0.998345934821212370f,
+ 0.056726821166907783f, -0.998389737407340160f, 0.055961049218520520f,
+ -0.998432952666508440f,
+ 0.055195244349690031f, -0.998475580573294770f, 0.054429407010919147f,
+ -0.998517621102622210f,
+ 0.053663537652730679f, -0.998559074229759310f, 0.052897636725665401f,
+ -0.998599939930320370f,
+ 0.052131704680283317f, -0.998640218180265270f, 0.051365741967162731f,
+ -0.998679908955899090f,
+ 0.050599749036899337f, -0.998719012233872940f, 0.049833726340107257f,
+ -0.998757527991183340f,
+ 0.049067674327418126f, -0.998795456205172410f, 0.048301593449480172f,
+ -0.998832796853527990f,
+ 0.047535484156959261f, -0.998869549914283560f, 0.046769346900537960f,
+ -0.998905715365818290f,
+ 0.046003182130914644f, -0.998941293186856870f, 0.045236990298804750f,
+ -0.998976283356469820f,
+ 0.044470771854938744f, -0.999010685854073380f, 0.043704527250063421f,
+ -0.999044500659429290f,
+ 0.042938256934940959f, -0.999077727752645360f, 0.042171961360348002f,
+ -0.999110367114174890f,
+ 0.041405640977076712f, -0.999142418724816910f, 0.040639296235933854f,
+ -0.999173882565716380f,
+ 0.039872927587739845f, -0.999204758618363890f, 0.039106535483329839f,
+ -0.999235046864595850f,
+ 0.038340120373552791f, -0.999264747286594420f, 0.037573682709270514f,
+ -0.999293859866887790f,
+ 0.036807222941358991f, -0.999322384588349540f, 0.036040741520706299f,
+ -0.999350321434199440f,
+ 0.035274238898213947f, -0.999377670388002850f, 0.034507715524795889f,
+ -0.999404431433671300f,
+ 0.033741171851377642f, -0.999430604555461730f, 0.032974608328897315f,
+ -0.999456189737977340f,
+ 0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f,
+ -0.999505596225325310f,
+ 0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f,
+ -0.999552650779456990f,
+ 0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f,
+ -0.999597353289648380f,
+ 0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f,
+ -0.999639703650710200f,
+ 0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f,
+ -0.999679701762987930f,
+ 0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f,
+ -0.999717347532362190f,
+ 0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f,
+ -0.999752640870248840f,
+ 0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f,
+ -0.999785581693599210f,
+ 0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f,
+ -0.999816169924900410f,
+ 0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f,
+ -0.999844405492175240f,
+ 0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f,
+ -0.999870288328982950f,
+ 0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f,
+ -0.999893818374418490f,
+ 0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f,
+ -0.999914995573113470f,
+ 0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f,
+ -0.999933819875236000f,
+ 0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f,
+ -0.999950291236490480f,
+ 0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f,
+ -0.999964409618118280f,
+ 0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f,
+ -0.999976174986897610f,
+ 0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f,
+ -0.999985587315143200f,
+ 0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f,
+ -0.999992646580707190f,
+ 0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f,
+ -0.999997352766978210f,
+ 0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f,
+ -0.999999705862882230f
+};
+ const float32_t cos_factors_2048[2048] = {
+ 0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
+ 0.999996396822294350f,
+ 0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
+ 0.999983454831937730f,
+ 0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
+ 0.999961100616462820f,
+ 0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
+ 0.999929334386276070f,
+ 0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
+ 0.999888156440373320f,
+ 0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
+ 0.999837567166337090f,
+ 0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
+ 0.999777567040332940f,
+ 0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
+ 0.999708156627104880f,
+ 0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
+ 0.999629336579970110f,
+ 0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
+ 0.999541107640812940f,
+ 0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
+ 0.999443470640077770f,
+ 0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
+ 0.999336426496761240f,
+ 0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
+ 0.999219976218403530f,
+ 0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
+ 0.999094120901079070f,
+ 0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
+ 0.998958861729386080f,
+ 0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
+ 0.998814199976435390f,
+ 0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
+ 0.998660137003838490f,
+ 0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
+ 0.998496674261694640f,
+ 0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
+ 0.998323813288577560f,
+ 0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f,
+ 0.998141555711520520f,
+ 0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f,
+ 0.997949903246001190f,
+ 0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f,
+ 0.997748857695925690f,
+ 0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f,
+ 0.997538420953611340f,
+ 0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f,
+ 0.997318594999768600f,
+ 0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f,
+ 0.997089381903483400f,
+ 0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f,
+ 0.996850783822196610f,
+ 0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f,
+ 0.996602803001684130f,
+ 0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f,
+ 0.996345441776035900f,
+ 0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f,
+ 0.996078702567633980f,
+ 0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f,
+ 0.995802587887129160f,
+ 0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f,
+ 0.995517100333418110f,
+ 0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f,
+ 0.995222242593618360f,
+ 0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f,
+ 0.994918017443043200f,
+ 0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f,
+ 0.994604427745175660f,
+ 0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f,
+ 0.994281476451641550f,
+ 0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f,
+ 0.993949166602181130f,
+ 0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f,
+ 0.993607501324621610f,
+ 0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f,
+ 0.993256483834846440f,
+ 0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f,
+ 0.992896117436765980f,
+ 0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f,
+ 0.992526405522286100f,
+ 0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f,
+ 0.992147351571276090f,
+ 0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f,
+ 0.991758959151536110f,
+ 0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f,
+ 0.991361231918763460f,
+ 0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f,
+ 0.990954173616518500f,
+ 0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f,
+ 0.990537788076188750f,
+ 0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f,
+ 0.990112079216953770f,
+ 0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f,
+ 0.989677051045747210f,
+ 0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f,
+ 0.989232707657220050f,
+ 0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f,
+ 0.988779053233701520f,
+ 0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f,
+ 0.988316092045159690f,
+ 0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f,
+ 0.987843828449161740f,
+ 0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f,
+ 0.987362266890832400f,
+ 0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f,
+ 0.986871411902812470f,
+ 0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f,
+ 0.986371268105216030f,
+ 0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f,
+ 0.985861840205586980f,
+ 0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f,
+ 0.985343132998854790f,
+ 0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f,
+ 0.984815151367289140f,
+ 0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f,
+ 0.984277900280454370f,
+ 0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f,
+ 0.983731384795162090f,
+ 0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f,
+ 0.983175610055424420f,
+ 0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f,
+ 0.982610581292404750f,
+ 0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f,
+ 0.982036303824369020f,
+ 0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f,
+ 0.981452783056635520f,
+ 0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f,
+ 0.980860024481523870f,
+ 0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f,
+ 0.980258033678303550f,
+ 0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f,
+ 0.979646816313141210f,
+ 0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f,
+ 0.979026378139047580f,
+ 0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f,
+ 0.978396724995823090f,
+ 0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f,
+ 0.977757862810002760f,
+ 0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f,
+ 0.977109797594800880f,
+ 0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f,
+ 0.976452535450054060f,
+ 0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f,
+ 0.975786082562163930f,
+ 0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f,
+ 0.975110445204038890f,
+ 0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f,
+ 0.974425629735034990f,
+ 0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f,
+ 0.973731642600896400f,
+ 0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f,
+ 0.973028490333694210f,
+ 0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f,
+ 0.972316179551765300f,
+ 0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f,
+ 0.971594716959650160f,
+ 0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f,
+ 0.970864109348029470f,
+ 0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f,
+ 0.970124363593660280f,
+ 0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f,
+ 0.969375486659311280f,
+ 0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f,
+ 0.968617485593697540f,
+ 0.968426560515983190f, 0.968235065737874320f, 0.968043001372022260f,
+ 0.967850367531413620f,
+ 0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f,
+ 0.967074139692867040f,
+ 0.966878660184995910f, 0.966682611887320080f, 0.966485994915169840f,
+ 0.966288809384209690f,
+ 0.966091055410438830f, 0.965892733110190860f, 0.965693842600133690f,
+ 0.965494383997269500f,
+ 0.965294357418934660f, 0.965093762982799590f, 0.964892600806868890f,
+ 0.964690871009481030f,
+ 0.964488573709308410f, 0.964285709025357480f, 0.964082277076968140f,
+ 0.963878277983814200f,
+ 0.963673711865903230f, 0.963468578843575950f, 0.963262879037507070f,
+ 0.963056612568704340f,
+ 0.962849779558509030f, 0.962642380128595710f, 0.962434414400972100f,
+ 0.962225882497979020f,
+ 0.962016784542290560f, 0.961807120656913540f, 0.961596890965187860f,
+ 0.961386095590786250f,
+ 0.961174734657714080f, 0.960962808290309780f, 0.960750316613243950f,
+ 0.960537259751520050f,
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+ 0.340137538973531880f,
+ 0.339416179869623410f, 0.338694621095921190f, 0.337972863076899830f,
+ 0.337250906237150650f,
+ 0.336528751001382350f, 0.335806397794420560f, 0.335083847041206580f,
+ 0.334361099166798900f,
+ 0.333638154596370920f, 0.332915013755212650f, 0.332191677068729320f,
+ 0.331468144962440920f,
+ 0.330744417861982890f, 0.330020496193105530f, 0.329296380381672800f,
+ 0.328572070853663690f,
+ 0.327847568035170960f, 0.327122872352400510f, 0.326397984231672660f,
+ 0.325672904099419900f,
+ 0.324947632382188430f, 0.324222169506637130f, 0.323496515899536760f,
+ 0.322770671987770710f,
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+ 0.319865401835630610f,
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+ 0.316957120988508150f,
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+ 0.314045856820250820f,
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+ 0.311131636732785270f,
+ 0.310402623062358880f, 0.309673426790066490f, 0.308944048344875710f,
+ 0.308214488155861220f,
+ 0.307484746652204160f, 0.306754824263192780f, 0.306024721418221900f,
+ 0.305294438546791720f,
+ 0.304563976078509050f, 0.303833334443086470f, 0.303102514070341060f,
+ 0.302371515390196130f,
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+ 0.299445746197739950f,
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+ 0.296517158507877410f,
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+ 0.264124575123527490f,
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+ 0.261164322860466590f,
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+ 0.234414785556295250f,
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+ 0.153176166043917870f,
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+ 0.150143693675208330f,
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+ 0.147109808096871850f,
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+ 0.144074537864995330f,
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+ 0.141037911548697770f,
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+ 0.137999957729862760f,
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+ 0.134960705002868830f,
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+ 0.131920181974319760f,
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+ 0.128878417262776660f,
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+ 0.125835439498487020f,
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+ 0.122791277323116900f,
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+ 0.119745959389479630f,
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+ 0.116699514361267840f,
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+ 0.113651970912781920f,
+ 0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f,
+ 0.110603357728661910f,
+ 0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
+ 0.107553703503615710f,
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+ 0.104503036942150550f,
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+ 0.101451386758302160f,
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+ 0.098398781675363881f,
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+ 0.095345250425617742f,
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+ 0.092290821750062355f,
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+ 0.086179387127484922f,
+ 0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f,
+ 0.083122438703613077f,
+ 0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
+ 0.080064707899690932f,
+ 0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
+ 0.077006223496245585f,
+ 0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
+ 0.073947014280897269f,
+ 0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
+ 0.070887109048087787f,
+ 0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
+ 0.067826536598810966f,
+ 0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
+ 0.064765325740339871f,
+ 0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
+ 0.061703505285957416f,
+ 0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
+ 0.058641104054683348f,
+ 0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
+ 0.055578150871004817f,
+ 0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
+ 0.052514674564603257f,
+ 0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
+ 0.049450703970084824f,
+ 0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
+ 0.046386267926707213f,
+ 0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
+ 0.043321395278109784f,
+ 0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
+ 0.040256114872041358f,
+ 0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
+ 0.037190455560088091f,
+ 0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
+ 0.034124446197403423f,
+ 0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
+ 0.031058115642434700f,
+ 0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
+ 0.027991492756653365f,
+ 0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
+ 0.024924606404281485f,
+ 0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
+ 0.021857485452021874f,
+ 0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
+ 0.018790158768784596f,
+ 0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
+ 0.015722655225417017f,
+ 0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
+ 0.012655003694430301f,
+ 0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
+ 0.009587233049729183f,
+ 0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
+ 0.006519372166339549f,
+ 0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
+ 0.003451449920135975f,
+ 0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
+ 0.000383495187571497f
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+ const float32_t Weights_8192[16384] = {
+ 1.000000000000000000f, -0.000000000000000000f, 0.999999981616429330f,
+ -0.000191747597310703f,
+ 0.999999926465717890f, -0.000383495187571396f, 0.999999834547867670f,
+ -0.000575242763732066f,
+ 0.999999705862882230f, -0.000766990318742704f, 0.999999540410766110f,
+ -0.000958737845553301f,
+ 0.999999338191525530f, -0.001150485337113849f, 0.999999099205167830f,
+ -0.001342232786374338f,
+ 0.999998823451701880f, -0.001533980186284766f, 0.999998510931137790f,
+ -0.001725727529795126f,
+ 0.999998161643486980f, -0.001917474809855419f, 0.999997775588762350f,
+ -0.002109222019415644f,
+ 0.999997352766978210f, -0.002300969151425805f, 0.999996893178149880f,
+ -0.002492716198835908f,
+ 0.999996396822294350f, -0.002684463154595962f, 0.999995863699429940f,
+ -0.002876210011655979f,
+ 0.999995293809576190f, -0.003067956762965976f, 0.999994687152754080f,
+ -0.003259703401475973f,
+ 0.999994043728985820f, -0.003451449920135994f, 0.999993363538295150f,
+ -0.003643196311896068f,
+ 0.999992646580707190f, -0.003834942569706228f, 0.999991892856248010f,
+ -0.004026688686516512f,
+ 0.999991102364945590f, -0.004218434655276963f, 0.999990275106828920f,
+ -0.004410180468937631f,
+ 0.999989411081928400f, -0.004601926120448571f, 0.999988510290275690f,
+ -0.004793671602759841f,
+ 0.999987572731904080f, -0.004985416908821511f, 0.999986598406848000f,
+ -0.005177162031583651f,
+ 0.999985587315143200f, -0.005368906963996343f, 0.999984539456826970f,
+ -0.005560651699009674f,
+ 0.999983454831937730f, -0.005752396229573736f, 0.999982333440515350f,
+ -0.005944140548638633f,
+ 0.999981175282601110f, -0.006135884649154475f, 0.999979980358237650f,
+ -0.006327628524071378f,
+ 0.999978748667468830f, -0.006519372166339468f, 0.999977480210339940f,
+ -0.006711115568908879f,
+ 0.999976174986897610f, -0.006902858724729756f, 0.999974832997189810f,
+ -0.007094601626752250f,
+ 0.999973454241265940f, -0.007286344267926521f, 0.999972038719176730f,
+ -0.007478086641202744f,
+ 0.999970586430974140f, -0.007669828739531097f, 0.999969097376711580f,
+ -0.007861570555861772f,
+ 0.999967571556443780f, -0.008053312083144972f, 0.999966008970226920f,
+ -0.008245053314330906f,
+ 0.999964409618118280f, -0.008436794242369799f, 0.999962773500176930f,
+ -0.008628534860211886f,
+ 0.999961100616462820f, -0.008820275160807412f, 0.999959390967037450f,
+ -0.009012015137106633f,
+ 0.999957644551963900f, -0.009203754782059819f, 0.999955861371306100f,
+ -0.009395494088617252f,
+ 0.999954041425129780f, -0.009587233049729225f, 0.999952184713501780f,
+ -0.009778971658346044f,
+ 0.999950291236490480f, -0.009970709907418031f, 0.999948360994165400f,
+ -0.010162447789895513f,
+ 0.999946393986597460f, -0.010354185298728842f, 0.999944390213859060f,
+ -0.010545922426868378f,
+ 0.999942349676023910f, -0.010737659167264491f, 0.999940272373166960f,
+ -0.010929395512867571f,
+ 0.999938158305364590f, -0.011121131456628021f, 0.999936007472694620f,
+ -0.011312866991496258f,
+ 0.999933819875236000f, -0.011504602110422714f, 0.999931595513069200f,
+ -0.011696336806357838f,
+ 0.999929334386276070f, -0.011888071072252092f, 0.999927036494939640f,
+ -0.012079804901055957f,
+ 0.999924701839144500f, -0.012271538285719925f, 0.999922330418976490f,
+ -0.012463271219194511f,
+ 0.999919922234522750f, -0.012655003694430242f, 0.999917477285871770f,
+ -0.012846735704377662f,
+ 0.999914995573113470f, -0.013038467241987334f, 0.999912477096339240f,
+ -0.013230198300209835f,
+ 0.999909921855641540f, -0.013421928871995765f, 0.999907329851114300f,
+ -0.013613658950295740f,
+ 0.999904701082852900f, -0.013805388528060391f, 0.999902035550953920f,
+ -0.013997117598240367f,
+ 0.999899333255515390f, -0.014188846153786345f, 0.999896594196636680f,
+ -0.014380574187649006f,
+ 0.999893818374418490f, -0.014572301692779064f, 0.999891005788962950f,
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+ -0.999974832997189810f,
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+ -0.999977480210339940f,
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+ -0.999979980358237650f,
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+ -0.999984539456826970f,
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+ -0.999986598406848000f,
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+ -0.999988510290275690f,
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+ -0.999990275106828920f,
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+ -0.999991892856248010f,
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+ -0.999993363538295150f,
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+ -0.999994687152754080f,
+ 0.003067956762966138f, -0.999995293809576190f, 0.002876210011656010f,
+ -0.999995863699429940f,
+ 0.002684463154596083f, -0.999996396822294350f, 0.002492716198835898f,
+ -0.999996893178149880f,
+ 0.002300969151425887f, -0.999997352766978210f, 0.002109222019415816f,
+ -0.999997775588762350f,
+ 0.001917474809855460f, -0.999998161643486980f, 0.001725727529795258f,
+ -0.999998510931137790f,
+ 0.001533980186284766f, -0.999998823451701880f, 0.001342232786374430f,
+ -0.999999099205167830f,
+ 0.001150485337113809f, -0.999999338191525530f, 0.000958737845553352f,
+ -0.999999540410766110f,
+ 0.000766990318742846f, -0.999999705862882230f, 0.000575242763732077f,
+ -0.999999834547867670f,
+ 0.000383495187571497f, -0.999999926465717890f, 0.000191747597310674f,
+ -0.999999981616429330f
+};
+
+ const float32_t cos_factors_8192[8192] = {
+ 1.999999990808214700f, 1.999999917273932200f, 1.999999770205369800f,
+ 1.999999549602533100f,
+ 1.999999255465430200f, 1.999998887794072000f, 1.999998446588471700f,
+ 1.999997931848645600f,
+ 1.999997343574612800f, 1.999996681766395000f, 1.999995946424016200f,
+ 1.999995137547503600f,
+ 1.999994255136887000f, 1.999993299192198700f, 1.999992269713474200f,
+ 1.999991166700750800f,
+ 1.999989990154069600f, 1.999988740073473500f, 1.999987416459008600f,
+ 1.999986019310723500f,
+ 1.999984548628669600f, 1.999983004412901000f, 1.999981386663474400f,
+ 1.999979695380449400f,
+ 1.999977930563888100f, 1.999976092213855400f, 1.999974180330418700f,
+ 1.999972194913648900f,
+ 1.999970135963618400f, 1.999968003480403000f, 1.999965797464081200f,
+ 1.999963517914734100f,
+ 1.999961164832445800f, 1.999958738217302300f, 1.999956238069392900f,
+ 1.999953664388809800f,
+ 1.999951017175647600f, 1.999948296430003500f, 1.999945502151977600f,
+ 1.999942634341672600f,
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+ 1.999930427779810900f,
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+ 1.999917044710405500f,
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+ 1.999902485141329400f,
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+ 1.999886749081147800f,
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+ 1.999851747525188200f,
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+ 1.999832482050000900f,
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+ 1.999812040124888700f,
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+ 1.999664683847668800f,
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+ 1.999606154115092500f,
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+ 1.999575124764850800f,
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+ 1.999474978999432800f,
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+ 1.999364247081633500f,
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+ 1.999324984063775700f,
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+ 1.999284544894541100f,
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+ 1.999242929597719200f,
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+ 1.999200138197791100f,
+ 1.999189256584633600f, 1.999178301467001900f, 1.999167272845298900f,
+ 1.999156170719930100f,
+ 1.999144995091303600f, 1.999133745959830600f, 1.999122423325924200f,
+ 1.999111027190001000f,
+ 1.999099557552479900f, 1.999088014413782800f, 1.999076397774334000f,
+ 1.999064707634560700f,
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+ 1.999017212080857400f,
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+ 1.998968540556831800f,
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+ 1.998707544408208700f,
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+ 1.998651817687737300f,
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+ 1.998594915211895600f,
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+ 1.998536837014157900f,
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+ 1.998477583128690100f,
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+ 1.998417153590349900f,
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+ 1.998355548434686400f,
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+ 1.998292767697940100f,
+ 1.998276888833522300f, 1.998260936498175400f, 1.998244910692486000f,
+ 1.998228811417043700f,
+ 1.998212638672439900f, 1.998196392459269400f, 1.998180072778129600f,
+ 1.998163679629620500f,
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+ 1.998097372373986300f,
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+ 1.998029889689147700f,
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+ 1.997961231614803200f,
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+ 1.997891398191342400f,
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+ 1.997820389459846700f,
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+ 1.997748205462088500f,
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+ 1.997290423310406100f,
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+ 1.997210013676516700f,
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+ 0.208052561419360520f, 0.207671143034492080f, 0.207289717014149830f,
+ 0.206908283372357230f,
+ 0.206526842123138070f, 0.206145393280517730f, 0.205763936858520150f,
+ 0.205382472871171230f,
+ 0.205001001332495910f, 0.204619522256519300f, 0.204238035657268250f,
+ 0.203856541548768030f,
+ 0.203475039945045950f, 0.203093530860128300f, 0.202712014308041620f,
+ 0.202330490302814110f,
+ 0.201948958858472420f, 0.201567419989045200f, 0.201185873708560170f,
+ 0.200804320031045230f,
+ 0.200422758970529910f, 0.200041190541042220f, 0.199659614756612230f,
+ 0.199278031631268500f,
+ 0.198896441179041650f, 0.198514843413961220f, 0.198133238350057030f,
+ 0.197751626001360480f,
+ 0.197370006381901520f, 0.196988379505712050f, 0.196606745386822960f,
+ 0.196225104039265410f,
+ 0.195843455477072190f, 0.195461799714274460f, 0.195080136764905570f,
+ 0.194698466642997730f,
+ 0.194316789362583340f, 0.193935104937696560f, 0.193553413382369890f,
+ 0.193171714710637930f,
+ 0.192790008936534220f, 0.192408296074092570f, 0.192026576137348330f,
+ 0.191644849140335360f,
+ 0.191263115097089540f, 0.190881374021645320f, 0.190499625928039040f,
+ 0.190117870830306100f,
+ 0.189736108742482030f, 0.189354339678604100f, 0.188972563652707950f,
+ 0.188590780678831250f,
+ 0.188208990771010640f, 0.187827193943283040f, 0.187445390209686870f,
+ 0.187063579584259070f,
+ 0.186681762081038650f, 0.186299937714063470f, 0.185918106497371700f,
+ 0.185536268445003070f,
+ 0.185154423570995760f, 0.184772571889390000f, 0.184390713414225000f,
+ 0.184008848159540110f,
+ 0.183626976139376310f, 0.183245097367773090f, 0.182863211858771880f,
+ 0.182481319626412670f,
+ 0.182099420684737420f, 0.181717515047787020f, 0.181335602729602590f,
+ 0.180953683744226880f,
+ 0.180571758105701030f, 0.180189825828068250f, 0.179807886925370670f,
+ 0.179425941411650660f,
+ 0.179043989300952110f, 0.178662030607317450f, 0.178280065344791100f,
+ 0.177898093527416370f,
+ 0.177516115169236820f, 0.177134130284297610f, 0.176752138886642350f,
+ 0.176370140990316640f,
+ 0.175988136609365020f, 0.175606125757832240f, 0.175224108449764660f,
+ 0.174842084699207030f,
+ 0.174460054520206240f, 0.174078017926807490f, 0.173695974933058080f,
+ 0.173313925553004180f,
+ 0.172931869800692250f, 0.172549807690170230f, 0.172167739235484620f,
+ 0.171785664450683800f,
+ 0.171403583349815180f, 0.171021495946926340f, 0.170639402256066410f,
+ 0.170257302291283000f,
+ 0.169875196066625710f, 0.169493083596143100f, 0.169110964893883830f,
+ 0.168728839973898290f,
+ 0.168346708850235140f, 0.167964571536945220f, 0.167582428048078130f,
+ 0.167200278397683750f,
+ 0.166818122599813570f, 0.166435960668517400f, 0.166053792617847200f,
+ 0.165671618461853270f,
+ 0.165289438214587970f, 0.164907251890102520f, 0.164525059502448390f,
+ 0.164142861065678550f,
+ 0.163760656593844480f, 0.163378446100999640f, 0.162996229601196390f,
+ 0.162614007108487250f,
+ 0.162231778636926370f, 0.161849544200566300f, 0.161467303813461580f,
+ 0.161085057489665670f,
+ 0.160702805243232240f, 0.160320547088216470f, 0.159938283038672050f,
+ 0.159556013108654580f,
+ 0.159173737312218650f, 0.158791455663418930f, 0.158409168176311760f,
+ 0.158026874864951870f,
+ 0.157644575743395960f, 0.157262270825699210f, 0.156879960125918730f,
+ 0.156497643658110590f,
+ 0.156115321436331000f, 0.155732993474637760f, 0.155350659787087090f,
+ 0.154968320387737170f,
+ 0.154585975290645110f, 0.154203624509868190f, 0.153821268059465250f,
+ 0.153438905953493550f,
+ 0.153056538206012340f, 0.152674164831079730f, 0.152291785842754070f,
+ 0.151909401255095250f,
+ 0.151527011082161540f, 0.151144615338013210f, 0.150762214036709470f,
+ 0.150379807192309620f,
+ 0.149997394818874590f, 0.149614976930463660f, 0.149232553541138180f,
+ 0.148850124664957870f,
+ 0.148467690315984390f, 0.148085250508278370f, 0.147702805255900570f,
+ 0.147320354572913260f,
+ 0.146937898473377210f, 0.146555436971355090f, 0.146172970080908520f,
+ 0.145790497816099230f,
+ 0.145408020190990560f, 0.145025537219644170f, 0.144643048916123810f,
+ 0.144260555294492000f,
+ 0.143878056368811510f, 0.143495552153146630f, 0.143113042661560050f,
+ 0.142730527908116440f,
+ 0.142348007906879320f, 0.141965482671912420f, 0.141582952217280980f,
+ 0.141200416557048680f,
+ 0.140817875705281120f, 0.140435329676042390f, 0.140052778483398480f,
+ 0.139670222141414250f,
+ 0.139287660664154770f, 0.138905094065686600f, 0.138522522360074780f,
+ 0.138139945561386200f,
+ 0.137757363683686740f, 0.137374776741042340f, 0.136992184747520560f,
+ 0.136609587717187310f,
+ 0.136226985664110460f, 0.135844378602356760f, 0.135461766545993150f,
+ 0.135079149509088060f,
+ 0.134696527505708320f, 0.134313900549922760f, 0.133931268655799020f,
+ 0.133548631837404950f,
+ 0.133165990108809860f, 0.132783343484081580f, 0.132400691977289760f,
+ 0.132018035602502530f,
+ 0.131635374373789940f, 0.131252708305220960f, 0.130870037410864640f,
+ 0.130487361704791580f,
+ 0.130104681201070800f, 0.129721995913773260f, 0.129339305856968730f,
+ 0.128956611044727220f,
+ 0.128573911491120210f, 0.128191207210217570f, 0.127808498216091110f,
+ 0.127425784522811530f,
+ 0.127043066144449680f, 0.126660343095077900f, 0.126277615388766920f,
+ 0.125894883039589430f,
+ 0.125512146061616980f, 0.125129404468921260f, 0.124746658275575490f,
+ 0.124363907495651240f,
+ 0.123981152143222060f, 0.123598392232359880f, 0.123215627777138580f,
+ 0.122832858791630880f,
+ 0.122450085289909640f, 0.122067307286049230f, 0.121684524794122440f,
+ 0.121301737828203960f,
+ 0.120918946402367330f, 0.120536150530686250f, 0.120153350227235940f,
+ 0.119770545506089950f,
+ 0.119387736381323830f, 0.119004922867011920f, 0.118622104977228730f,
+ 0.118239282726050290f,
+ 0.117856456127550970f, 0.117473625195807100f, 0.117090789944893860f,
+ 0.116707950388886520f,
+ 0.116325106541861910f, 0.115942258417895240f, 0.115559406031063570f,
+ 0.115176549395442460f,
+ 0.114793688525109290f, 0.114410823434140360f, 0.114027954136612060f,
+ 0.113645080646602280f,
+ 0.113262202978187320f, 0.112879321145445350f, 0.112496435162453430f,
+ 0.112113545043288730f,
+ 0.111730650802029900f, 0.111347752452754000f, 0.110964850009539970f,
+ 0.110581943486465610f,
+ 0.110199032897608850f, 0.109816118257049110f, 0.109433199578864170f,
+ 0.109050276877133770f,
+ 0.108667350165936400f, 0.108284419459350770f, 0.107901484771457020f,
+ 0.107518546116333660f,
+ 0.107135603508061170f, 0.106752656960718350f, 0.106369706488385940f,
+ 0.105986752105143480f,
+ 0.105603793825070680f, 0.105220831662248700f, 0.104837865630757090f,
+ 0.104454895744677270f,
+ 0.104071922018089540f, 0.103688944465074300f, 0.103305963099713400f,
+ 0.102922977936087120f,
+ 0.102539988988277600f, 0.102156996270365800f, 0.101773999796432830f,
+ 0.101390999580561250f,
+ 0.101007995636832020f, 0.100624987979327970f, 0.100241976622130760f,
+ 0.099858961579322170f,
+ 0.099475942864985456f, 0.099092920493202258f, 0.098709894478056073f,
+ 0.098326864833628791f,
+ 0.097943831574004214f, 0.097560794713264939f, 0.097177754265493674f,
+ 0.096794710244774623f,
+ 0.096411662665190329f, 0.096028611540825232f, 0.095645556885762609f,
+ 0.095262498714085819f,
+ 0.094879437039879722f, 0.094496371877227495f, 0.094113303240214247f,
+ 0.093730231142923864f,
+ 0.093347155599440373f, 0.092964076623849271f, 0.092580994230234359f,
+ 0.092197908432681386f,
+ 0.091814819245274432f, 0.091431726682099479f, 0.091048630757241303f,
+ 0.090665531484784803f,
+ 0.090282428878816323f, 0.089899322953420582f, 0.089516213722684160f,
+ 0.089133101200692441f,
+ 0.088749985401530951f, 0.088366866339286629f, 0.087983744028044805f,
+ 0.087600618481892656f,
+ 0.087217489714916191f, 0.086834357741201490f, 0.086451222574836131f,
+ 0.086068084229906014f,
+ 0.085684942720498897f, 0.085301798060701386f, 0.084918650264600160f,
+ 0.084535499346283349f,
+ 0.084152345319837438f, 0.083769188199350780f, 0.083386027998910095f,
+ 0.083002864732603973f,
+ 0.082619698414519799f, 0.082236529058745025f, 0.081853356679368619f,
+ 0.081470181290477811f,
+ 0.081087002906161790f, 0.080703821540508452f, 0.080320637207605849f,
+ 0.079937449921543474f,
+ 0.079554259696409127f, 0.079171066546292510f, 0.078787870485282088f,
+ 0.078404671527466441f,
+ 0.078021469686935602f, 0.077638264977777913f, 0.077255057414083589f,
+ 0.076871847009941652f,
+ 0.076488633779441206f, 0.076105417736672773f, 0.075722198895725248f,
+ 0.075338977270689375f,
+ 0.074955752875654230f, 0.074572525724710764f, 0.074189295831948693f,
+ 0.073806063211457842f,
+ 0.073422827877329483f, 0.073039589843653177f, 0.072656349124520389f,
+ 0.072273105734021334f,
+ 0.071889859686246352f, 0.071506610995287156f, 0.071123359675233852f,
+ 0.070740105740178361f,
+ 0.070356849204211397f, 0.069973590081423773f, 0.069590328385907715f,
+ 0.069207064131753759f,
+ 0.068823797333054326f, 0.068440528003900616f, 0.068057256158383886f,
+ 0.067673981810596848f,
+ 0.067290704974630494f, 0.066907425664577733f, 0.066524143894529736f,
+ 0.066140859678579578f,
+ 0.065757573030819083f, 0.065374283965340146f, 0.064990992496236119f,
+ 0.064607698637598646f,
+ 0.064224402403521202f, 0.063841103808096086f, 0.063457802865415636f,
+ 0.063074499589573618f,
+ 0.062691193994662109f, 0.062307886094775049f, 0.061924575904005130f,
+ 0.061541263436445129f,
+ 0.061157948706189229f, 0.060774631727329942f, 0.060391312513961619f,
+ 0.060007991080177375f,
+ 0.059624667440070382f, 0.059241341607735261f, 0.058858013597264912f,
+ 0.058474683422754095f,
+ 0.058091351098295878f, 0.057708016637985186f, 0.057324680055915692f,
+ 0.056941341366181127f,
+ 0.056558000582876661f, 0.056174657720095743f, 0.055791312791933681f,
+ 0.055407965812484541f,
+ 0.055024616795842439f, 0.054641265756102911f, 0.054257912707359794f,
+ 0.053874557663708772f,
+ 0.053491200639244271f, 0.053107841648060788f, 0.052724480704254229f,
+ 0.052341117821918783f,
+ 0.051957753015150501f, 0.051574386298044173f, 0.051191017684694640f,
+ 0.050807647189198162f,
+ 0.050424274825649297f, 0.050040900608144430f, 0.049657524550778251f,
+ 0.049274146667647289f,
+ 0.048890766972846805f, 0.048507385480472134f, 0.048124002204620014f,
+ 0.047740617159385448f,
+ 0.047357230358865306f, 0.046973841817155179f, 0.046590451548350717f,
+ 0.046207059566548990f,
+ 0.045823665885845313f, 0.045440270520336883f, 0.045056873484119603f,
+ 0.044673474791289434f,
+ 0.044290074455943754f, 0.043906672492178188f, 0.043523268914090238f,
+ 0.043139863735776100f,
+ 0.042756456971332048f, 0.042373048634855741f, 0.041989638740443119f,
+ 0.041606227302191955f,
+ 0.041222814334198304f, 0.040839399850560058f, 0.040455983865373815f,
+ 0.040072566392736257f,
+ 0.039689147446745419f, 0.039305727041497644f, 0.038922305191091085f,
+ 0.038538881909622631f,
+ 0.038155457211189216f, 0.037772031109889144f, 0.037388603619819022f,
+ 0.037005174755077273f,
+ 0.036621744529761024f, 0.036238312957967478f, 0.035854880053795196f,
+ 0.035471445831341021f,
+ 0.035088010304703626f, 0.034704573487980395f, 0.034321135395268765f,
+ 0.033937696040667535f,
+ 0.033554255438273790f, 0.033170813602186440f, 0.032787370546502645f,
+ 0.032403926285321405f,
+ 0.032020480832740429f, 0.031637034202857461f, 0.031253586409771626f,
+ 0.030870137467580314f,
+ 0.030486687390382738f, 0.030103236192276818f, 0.029719783887360508f,
+ 0.029336330489733147f,
+ 0.028952876013492331f, 0.028569420472737472f, 0.028185963881566689f,
+ 0.027802506254078142f,
+ 0.027419047604371360f, 0.027035587946544135f, 0.026652127294696067f,
+ 0.026268665662925468f,
+ 0.025885203065330677f, 0.025501739516011413f, 0.025118275029065638f,
+ 0.024734809618593138f,
+ 0.024351343298691951f, 0.023967876083461924f, 0.023584407987001611f,
+ 0.023200939023409587f,
+ 0.022817469206785804f, 0.022433998551228459f, 0.022050527070837558f,
+ 0.021667054779711814f,
+ 0.021283581691949955f, 0.020900107821652084f, 0.020516633182916549f,
+ 0.020133157789843505f,
+ 0.019749681656531803f, 0.019366204797080316f, 0.018982727225589285f,
+ 0.018599248956157190f,
+ 0.018215770002884327f, 0.017832290379869671f, 0.017448810101212228f,
+ 0.017065329181012358f,
+ 0.016681847633368677f, 0.016298365472381587f, 0.015914882712149747f,
+ 0.015531399366773606f,
+ 0.015147915450352307f, 0.014764430976985016f, 0.014380945960772247f,
+ 0.013997460415812761f,
+ 0.013613974356207112f, 0.013230487796054543f, 0.012847000749454314f,
+ 0.012463513230507034f,
+ 0.012080025253311559f, 0.011696536831968529f, 0.011313047980577277f,
+ 0.010929558713237145f,
+ 0.010546069044048827f, 0.010162578987111254f, 0.009779088556525145f,
+ 0.009395597766389905f,
+ 0.009012106630804949f, 0.008628615163871038f, 0.008245123379687167f,
+ 0.007861631292354124f,
+ 0.007478138915970929f, 0.007094646264638386f, 0.006711153352455981f,
+ 0.006327660193523208f,
+ 0.005944166801940901f, 0.005560673191808128f, 0.005177179377225743f,
+ 0.004793685372293270f,
+ 0.004410191191110246f, 0.004026696847777542f, 0.003643202356394263f,
+ 0.003259707731061291f,
+ 0.002876212985878184f, 0.002492718134944503f, 0.002109223192361147f,
+ 0.001725728172227238f,
+ 0.001342233088643682f, 0.000958737955710053f, 0.000575242787525925f,
+ 0.000191747598192208f
+};
+ #endif
+
+/**
+ @brief Weights Table
+ */
+
+/**
+ @par
+ Weights tables are generated using the formula : weights[n] = e^(-j*n*pi/(2*N))+ @par + C command to generate the table +
+ for(i = 0; i< N; i++)
+ {
+ weights[(2*i)] = cos(i*c);
+ weights[(2*i)+1] = -sin(i*c);
+ }
+ @par
+ where N is the Number of weights to be calculated and c is pi/(2*N)
+ @par
+ Converted the output to q15 format by multiplying with 2^31 and saturated if required.
+ @par
+ In the tables below the real and imaginary values are placed alternatively, hence the
+ array length is 2*N.
+ */
+
+/**
+ @par
+ cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))+ @par + C command to generate the table +
+ for (i = 0; i< N; i++)
+ {
+ cos_factors[i] = 2 * cos((2*i+1)*c/2);
+ }
+ @par
+ where N is the number of factors to generate and c is pi/(2*N)
+ @par
+ Then converted to q15 format by multiplying with 2^31 and saturated if required.
+*/
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+
+ const q15_t __ALIGNED(4) WeightsQ15_128[256] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7fe9, (q15_t)0xfb4a,
+ (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f87, (q15_t)0xf505,
+ (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7ed5, (q15_t)0xeec7,
+ (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7dd6, (q15_t)0xe893,
+ (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7c89, (q15_t)0xe26d,
+ (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7aef, (q15_t)0xdc5a,
+ (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7909, (q15_t)0xd65d,
+ (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x76d9, (q15_t)0xd079,
+ (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x745f, (q15_t)0xcab3,
+ (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x719e, (q15_t)0xc50e,
+ (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6e96, (q15_t)0xbf8d,
+ (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6b4a, (q15_t)0xba33,
+ (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x67bd, (q15_t)0xb505,
+ (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x63ef, (q15_t)0xb005,
+ (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x5fe3, (q15_t)0xab36,
+ (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5b9d, (q15_t)0xa69c,
+ (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x571d, (q15_t)0xa239,
+ (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5269, (q15_t)0x9e0f,
+ (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4d81, (q15_t)0x9a23,
+ (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4869, (q15_t)0x9674,
+ (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4325, (q15_t)0x9307,
+ (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3db8, (q15_t)0x8fdd,
+ (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3824, (q15_t)0x8cf9,
+ (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x326e, (q15_t)0x8a5b,
+ (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2c98, (q15_t)0x8806,
+ (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x26a8, (q15_t)0x85fb,
+ (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x209f, (q15_t)0x843b,
+ (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1a82, (q15_t)0x82c7,
+ (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x1455, (q15_t)0x81a1,
+ (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1139, (q15_t)0x812b, (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xe1b, (q15_t)0x80c8,
+ (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xafb, (q15_t)0x8079, (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x7d9, (q15_t)0x803e,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x324, (q15_t)0x800a, (q15_t)0x192, (q15_t)0x8003
+};
+ const q15_t __ALIGNED(4) cos_factorsQ15_128[128] = {
+ (q15_t)0x7fff, (q15_t)0x7ffa, (q15_t)0x7ff0, (q15_t)0x7fe1, (q15_t)0x7fce, (q15_t)0x7fb5, (q15_t)0x7f97, (q15_t)0x7f75,
+ (q15_t)0x7f4d, (q15_t)0x7f21, (q15_t)0x7ef0, (q15_t)0x7eba, (q15_t)0x7e7f, (q15_t)0x7e3f, (q15_t)0x7dfa, (q15_t)0x7db0,
+ (q15_t)0x7d62, (q15_t)0x7d0f, (q15_t)0x7cb7, (q15_t)0x7c5a, (q15_t)0x7bf8, (q15_t)0x7b92, (q15_t)0x7b26, (q15_t)0x7ab6,
+ (q15_t)0x7a42, (q15_t)0x79c8, (q15_t)0x794a, (q15_t)0x78c7, (q15_t)0x7840, (q15_t)0x77b4, (q15_t)0x7723, (q15_t)0x768e,
+ (q15_t)0x75f4, (q15_t)0x7555, (q15_t)0x74b2, (q15_t)0x740b, (q15_t)0x735f, (q15_t)0x72af, (q15_t)0x71fa, (q15_t)0x7141,
+ (q15_t)0x7083, (q15_t)0x6fc1, (q15_t)0x6efb, (q15_t)0x6e30, (q15_t)0x6d62, (q15_t)0x6c8f, (q15_t)0x6bb8, (q15_t)0x6adc,
+ (q15_t)0x69fd, (q15_t)0x6919, (q15_t)0x6832, (q15_t)0x6746, (q15_t)0x6657, (q15_t)0x6563, (q15_t)0x646c, (q15_t)0x6371,
+ (q15_t)0x6271, (q15_t)0x616f, (q15_t)0x6068, (q15_t)0x5f5e, (q15_t)0x5e50, (q15_t)0x5d3e, (q15_t)0x5c29, (q15_t)0x5b10,
+ (q15_t)0x59f3, (q15_t)0x58d4, (q15_t)0x57b0, (q15_t)0x568a, (q15_t)0x5560, (q15_t)0x5433, (q15_t)0x5302, (q15_t)0x51ce,
+ (q15_t)0x5097, (q15_t)0x4f5e, (q15_t)0x4e21, (q15_t)0x4ce1, (q15_t)0x4b9e, (q15_t)0x4a58, (q15_t)0x490f, (q15_t)0x47c3,
+ (q15_t)0x4675, (q15_t)0x4524, (q15_t)0x43d0, (q15_t)0x427a, (q15_t)0x4121, (q15_t)0x3fc5, (q15_t)0x3e68, (q15_t)0x3d07,
+ (q15_t)0x3ba5, (q15_t)0x3a40, (q15_t)0x38d8, (q15_t)0x376f, (q15_t)0x3604, (q15_t)0x3496, (q15_t)0x3326, (q15_t)0x31b5,
+ (q15_t)0x3041, (q15_t)0x2ecc, (q15_t)0x2d55, (q15_t)0x2bdc, (q15_t)0x2a61, (q15_t)0x28e5, (q15_t)0x2767, (q15_t)0x25e8,
+ (q15_t)0x2467, (q15_t)0x22e5, (q15_t)0x2161, (q15_t)0x1fdc, (q15_t)0x1e56, (q15_t)0x1ccf, (q15_t)0x1b47, (q15_t)0x19bd,
+ (q15_t)0x1833, (q15_t)0x16a8, (q15_t)0x151b, (q15_t)0x138e, (q15_t)0x1201, (q15_t)0x1072, (q15_t)0xee3, (q15_t)0xd53,
+ (q15_t)0xbc3, (q15_t)0xa33, (q15_t)0x8a2, (q15_t)0x710, (q15_t)0x57f, (q15_t)0x3ed, (q15_t)0x25b, (q15_t)0xc9
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+ const q15_t __ALIGNED(4) WeightsQ15_512[1024] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7ffe, (q15_t)0xfed3,
+ (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff8, (q15_t)0xfd41,
+ (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fed, (q15_t)0xfbaf,
+ (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fdd, (q15_t)0xfa1d,
+ (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fc8, (q15_t)0xf88b,
+ (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fae, (q15_t)0xf6fa,
+ (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f8f, (q15_t)0xf569,
+ (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f6b, (q15_t)0xf3d9,
+ (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f43, (q15_t)0xf249,
+ (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f15, (q15_t)0xf0b9,
+ (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7ee3, (q15_t)0xef2a,
+ (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eab, (q15_t)0xed9c,
+ (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e6f, (q15_t)0xec0e,
+ (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e2e, (q15_t)0xea81,
+ (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7de8, (q15_t)0xe8f6,
+ (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7d9d, (q15_t)0xe76a,
+ (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d4e, (q15_t)0xe5e0,
+ (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7cf9, (q15_t)0xe457,
+ (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7ca0, (q15_t)0xe2cf,
+ (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c42, (q15_t)0xe148,
+ (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bdf, (q15_t)0xdfc2,
+ (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b77, (q15_t)0xde3e,
+ (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b0b, (q15_t)0xdcbb,
+ (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7a9a, (q15_t)0xdb39,
+ (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a24, (q15_t)0xd9b8,
+ (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79a9, (q15_t)0xd839,
+ (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x792a, (q15_t)0xd6bc,
+ (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78a6, (q15_t)0xd540,
+ (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x781d, (q15_t)0xd3c6,
+ (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x7790, (q15_t)0xd24d,
+ (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x76fe, (q15_t)0xd0d7,
+ (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7668, (q15_t)0xcf62,
+ (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75cc, (q15_t)0xcdef,
+ (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x752d, (q15_t)0xcc7e,
+ (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x7489, (q15_t)0xcb0e,
+ (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x73e0, (q15_t)0xc9a1,
+ (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7333, (q15_t)0xc836,
+ (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x7282, (q15_t)0xc6ce,
+ (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71cc, (q15_t)0xc567,
+ (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x7112, (q15_t)0xc403,
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+ (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x83d, (q15_t)0x8044,
+ (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x775, (q15_t)0x8038, (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6ac, (q15_t)0x802d,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x51a, (q15_t)0x801b,
+ (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x451, (q15_t)0x8013, (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x388, (q15_t)0x800d,
+ (q15_t)0x324, (q15_t)0x800a, (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x1f6, (q15_t)0x8004,
+ (q15_t)0x192, (q15_t)0x8003, (q15_t)0x12d, (q15_t)0x8002, (q15_t)0xc9, (q15_t)0x8001, (q15_t)0x64, (q15_t)0x8001
+};
+
+ const q15_t __ALIGNED(4) cos_factorsQ15_512[512] = {
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ff9, (q15_t)0x7ff7,
+ (q15_t)0x7ff4, (q15_t)0x7ff2, (q15_t)0x7fee, (q15_t)0x7feb, (q15_t)0x7fe7, (q15_t)0x7fe3, (q15_t)0x7fdf, (q15_t)0x7fda,
+ (q15_t)0x7fd6, (q15_t)0x7fd0, (q15_t)0x7fcb, (q15_t)0x7fc5, (q15_t)0x7fbf, (q15_t)0x7fb8, (q15_t)0x7fb1, (q15_t)0x7faa,
+ (q15_t)0x7fa3, (q15_t)0x7f9b, (q15_t)0x7f93, (q15_t)0x7f8b, (q15_t)0x7f82, (q15_t)0x7f79, (q15_t)0x7f70, (q15_t)0x7f67,
+ (q15_t)0x7f5d, (q15_t)0x7f53, (q15_t)0x7f48, (q15_t)0x7f3d, (q15_t)0x7f32, (q15_t)0x7f27, (q15_t)0x7f1b, (q15_t)0x7f0f,
+ (q15_t)0x7f03, (q15_t)0x7ef6, (q15_t)0x7ee9, (q15_t)0x7edc, (q15_t)0x7ecf, (q15_t)0x7ec1, (q15_t)0x7eb3, (q15_t)0x7ea4,
+ (q15_t)0x7e95, (q15_t)0x7e86, (q15_t)0x7e77, (q15_t)0x7e67, (q15_t)0x7e57, (q15_t)0x7e47, (q15_t)0x7e37, (q15_t)0x7e26,
+ (q15_t)0x7e14, (q15_t)0x7e03, (q15_t)0x7df1, (q15_t)0x7ddf, (q15_t)0x7dcd, (q15_t)0x7dba, (q15_t)0x7da7, (q15_t)0x7d94,
+ (q15_t)0x7d80, (q15_t)0x7d6c, (q15_t)0x7d58, (q15_t)0x7d43, (q15_t)0x7d2f, (q15_t)0x7d19, (q15_t)0x7d04, (q15_t)0x7cee,
+ (q15_t)0x7cd8, (q15_t)0x7cc2, (q15_t)0x7cab, (q15_t)0x7c94, (q15_t)0x7c7d, (q15_t)0x7c66, (q15_t)0x7c4e, (q15_t)0x7c36,
+ (q15_t)0x7c1d, (q15_t)0x7c05, (q15_t)0x7beb, (q15_t)0x7bd2, (q15_t)0x7bb9, (q15_t)0x7b9f, (q15_t)0x7b84, (q15_t)0x7b6a,
+ (q15_t)0x7b4f, (q15_t)0x7b34, (q15_t)0x7b19, (q15_t)0x7afd, (q15_t)0x7ae1, (q15_t)0x7ac5, (q15_t)0x7aa8, (q15_t)0x7a8b,
+ (q15_t)0x7a6e, (q15_t)0x7a50, (q15_t)0x7a33, (q15_t)0x7a15, (q15_t)0x79f6, (q15_t)0x79d8, (q15_t)0x79b9, (q15_t)0x7999,
+ (q15_t)0x797a, (q15_t)0x795a, (q15_t)0x793a, (q15_t)0x7919, (q15_t)0x78f9, (q15_t)0x78d8, (q15_t)0x78b6, (q15_t)0x7895,
+ (q15_t)0x7873, (q15_t)0x7851, (q15_t)0x782e, (q15_t)0x780c, (q15_t)0x77e9, (q15_t)0x77c5, (q15_t)0x77a2, (q15_t)0x777e,
+ (q15_t)0x775a, (q15_t)0x7735, (q15_t)0x7710, (q15_t)0x76eb, (q15_t)0x76c6, (q15_t)0x76a0, (q15_t)0x767b, (q15_t)0x7654,
+ (q15_t)0x762e, (q15_t)0x7607, (q15_t)0x75e0, (q15_t)0x75b9, (q15_t)0x7591, (q15_t)0x7569, (q15_t)0x7541, (q15_t)0x7519,
+ (q15_t)0x74f0, (q15_t)0x74c7, (q15_t)0x749e, (q15_t)0x7474, (q15_t)0x744a, (q15_t)0x7420, (q15_t)0x73f6, (q15_t)0x73cb,
+ (q15_t)0x73a0, (q15_t)0x7375, (q15_t)0x7349, (q15_t)0x731d, (q15_t)0x72f1, (q15_t)0x72c5, (q15_t)0x7298, (q15_t)0x726b,
+ (q15_t)0x723e, (q15_t)0x7211, (q15_t)0x71e3, (q15_t)0x71b5, (q15_t)0x7186, (q15_t)0x7158, (q15_t)0x7129, (q15_t)0x70fa,
+ (q15_t)0x70cb, (q15_t)0x709b, (q15_t)0x706b, (q15_t)0x703b, (q15_t)0x700a, (q15_t)0x6fda, (q15_t)0x6fa9, (q15_t)0x6f77,
+ (q15_t)0x6f46, (q15_t)0x6f14, (q15_t)0x6ee2, (q15_t)0x6eaf, (q15_t)0x6e7d, (q15_t)0x6e4a, (q15_t)0x6e17, (q15_t)0x6de3,
+ (q15_t)0x6db0, (q15_t)0x6d7c, (q15_t)0x6d48, (q15_t)0x6d13, (q15_t)0x6cde, (q15_t)0x6ca9, (q15_t)0x6c74, (q15_t)0x6c3f,
+ (q15_t)0x6c09, (q15_t)0x6bd3, (q15_t)0x6b9c, (q15_t)0x6b66, (q15_t)0x6b2f, (q15_t)0x6af8, (q15_t)0x6ac1, (q15_t)0x6a89,
+ (q15_t)0x6a51, (q15_t)0x6a19, (q15_t)0x69e1, (q15_t)0x69a8, (q15_t)0x696f, (q15_t)0x6936, (q15_t)0x68fd, (q15_t)0x68c3,
+ (q15_t)0x6889, (q15_t)0x684f, (q15_t)0x6815, (q15_t)0x67da, (q15_t)0x679f, (q15_t)0x6764, (q15_t)0x6729, (q15_t)0x66ed,
+ (q15_t)0x66b1, (q15_t)0x6675, (q15_t)0x6639, (q15_t)0x65fc, (q15_t)0x65bf, (q15_t)0x6582, (q15_t)0x6545, (q15_t)0x6507,
+ (q15_t)0x64c9, (q15_t)0x648b, (q15_t)0x644d, (q15_t)0x640e, (q15_t)0x63cf, (q15_t)0x6390, (q15_t)0x6351, (q15_t)0x6311,
+ (q15_t)0x62d2, (q15_t)0x6292, (q15_t)0x6251, (q15_t)0x6211, (q15_t)0x61d0, (q15_t)0x618f, (q15_t)0x614e, (q15_t)0x610d,
+ (q15_t)0x60cb, (q15_t)0x6089, (q15_t)0x6047, (q15_t)0x6004, (q15_t)0x5fc2, (q15_t)0x5f7f, (q15_t)0x5f3c, (q15_t)0x5ef9,
+ (q15_t)0x5eb5, (q15_t)0x5e71, (q15_t)0x5e2d, (q15_t)0x5de9, (q15_t)0x5da5, (q15_t)0x5d60, (q15_t)0x5d1b, (q15_t)0x5cd6,
+ (q15_t)0x5c91, (q15_t)0x5c4b, (q15_t)0x5c06, (q15_t)0x5bc0, (q15_t)0x5b79, (q15_t)0x5b33, (q15_t)0x5aec, (q15_t)0x5aa5,
+ (q15_t)0x5a5e, (q15_t)0x5a17, (q15_t)0x59d0, (q15_t)0x5988, (q15_t)0x5940, (q15_t)0x58f8, (q15_t)0x58af, (q15_t)0x5867,
+ (q15_t)0x581e, (q15_t)0x57d5, (q15_t)0x578c, (q15_t)0x5742, (q15_t)0x56f9, (q15_t)0x56af, (q15_t)0x5665, (q15_t)0x561a,
+ (q15_t)0x55d0, (q15_t)0x5585, (q15_t)0x553a, (q15_t)0x54ef, (q15_t)0x54a4, (q15_t)0x5458, (q15_t)0x540d, (q15_t)0x53c1,
+ (q15_t)0x5375, (q15_t)0x5328, (q15_t)0x52dc, (q15_t)0x528f, (q15_t)0x5242, (q15_t)0x51f5, (q15_t)0x51a8, (q15_t)0x515a,
+ (q15_t)0x510c, (q15_t)0x50bf, (q15_t)0x5070, (q15_t)0x5022, (q15_t)0x4fd4, (q15_t)0x4f85, (q15_t)0x4f36, (q15_t)0x4ee7,
+ (q15_t)0x4e98, (q15_t)0x4e48, (q15_t)0x4df9, (q15_t)0x4da9, (q15_t)0x4d59, (q15_t)0x4d09, (q15_t)0x4cb8, (q15_t)0x4c68,
+ (q15_t)0x4c17, (q15_t)0x4bc6, (q15_t)0x4b75, (q15_t)0x4b24, (q15_t)0x4ad2, (q15_t)0x4a81, (q15_t)0x4a2f, (q15_t)0x49dd,
+ (q15_t)0x498a, (q15_t)0x4938, (q15_t)0x48e6, (q15_t)0x4893, (q15_t)0x4840, (q15_t)0x47ed, (q15_t)0x479a, (q15_t)0x4746,
+ (q15_t)0x46f3, (q15_t)0x469f, (q15_t)0x464b, (q15_t)0x45f7, (q15_t)0x45a3, (q15_t)0x454e, (q15_t)0x44fa, (q15_t)0x44a5,
+ (q15_t)0x4450, (q15_t)0x43fb, (q15_t)0x43a5, (q15_t)0x4350, (q15_t)0x42fa, (q15_t)0x42a5, (q15_t)0x424f, (q15_t)0x41f9,
+ (q15_t)0x41a2, (q15_t)0x414c, (q15_t)0x40f6, (q15_t)0x409f, (q15_t)0x4048, (q15_t)0x3ff1, (q15_t)0x3f9a, (q15_t)0x3f43,
+ (q15_t)0x3eeb, (q15_t)0x3e93, (q15_t)0x3e3c, (q15_t)0x3de4, (q15_t)0x3d8c, (q15_t)0x3d33, (q15_t)0x3cdb, (q15_t)0x3c83,
+ (q15_t)0x3c2a, (q15_t)0x3bd1, (q15_t)0x3b78, (q15_t)0x3b1f, (q15_t)0x3ac6, (q15_t)0x3a6c, (q15_t)0x3a13, (q15_t)0x39b9,
+ (q15_t)0x395f, (q15_t)0x3906, (q15_t)0x38ab, (q15_t)0x3851, (q15_t)0x37f7, (q15_t)0x379c, (q15_t)0x3742, (q15_t)0x36e7,
+ (q15_t)0x368c, (q15_t)0x3631, (q15_t)0x35d6, (q15_t)0x357b, (q15_t)0x351f, (q15_t)0x34c4, (q15_t)0x3468, (q15_t)0x340c,
+ (q15_t)0x33b0, (q15_t)0x3354, (q15_t)0x32f8, (q15_t)0x329c, (q15_t)0x3240, (q15_t)0x31e3, (q15_t)0x3186, (q15_t)0x312a,
+ (q15_t)0x30cd, (q15_t)0x3070, (q15_t)0x3013, (q15_t)0x2fb5, (q15_t)0x2f58, (q15_t)0x2efb, (q15_t)0x2e9d, (q15_t)0x2e3f,
+ (q15_t)0x2de2, (q15_t)0x2d84, (q15_t)0x2d26, (q15_t)0x2cc8, (q15_t)0x2c69, (q15_t)0x2c0b, (q15_t)0x2bad, (q15_t)0x2b4e,
+ (q15_t)0x2aef, (q15_t)0x2a91, (q15_t)0x2a32, (q15_t)0x29d3, (q15_t)0x2974, (q15_t)0x2915, (q15_t)0x28b5, (q15_t)0x2856,
+ (q15_t)0x27f6, (q15_t)0x2797, (q15_t)0x2737, (q15_t)0x26d8, (q15_t)0x2678, (q15_t)0x2618, (q15_t)0x25b8, (q15_t)0x2558,
+ (q15_t)0x24f7, (q15_t)0x2497, (q15_t)0x2437, (q15_t)0x23d6, (q15_t)0x2376, (q15_t)0x2315, (q15_t)0x22b4, (q15_t)0x2254,
+ (q15_t)0x21f3, (q15_t)0x2192, (q15_t)0x2131, (q15_t)0x20d0, (q15_t)0x206e, (q15_t)0x200d, (q15_t)0x1fac, (q15_t)0x1f4a,
+ (q15_t)0x1ee9, (q15_t)0x1e87, (q15_t)0x1e25, (q15_t)0x1dc4, (q15_t)0x1d62, (q15_t)0x1d00, (q15_t)0x1c9e, (q15_t)0x1c3c,
+ (q15_t)0x1bda, (q15_t)0x1b78, (q15_t)0x1b16, (q15_t)0x1ab3, (q15_t)0x1a51, (q15_t)0x19ef, (q15_t)0x198c, (q15_t)0x192a,
+ (q15_t)0x18c7, (q15_t)0x1864, (q15_t)0x1802, (q15_t)0x179f, (q15_t)0x173c, (q15_t)0x16d9, (q15_t)0x1676, (q15_t)0x1613,
+ (q15_t)0x15b0, (q15_t)0x154d, (q15_t)0x14ea, (q15_t)0x1487, (q15_t)0x1423, (q15_t)0x13c0, (q15_t)0x135d, (q15_t)0x12f9,
+ (q15_t)0x1296, (q15_t)0x1232, (q15_t)0x11cf, (q15_t)0x116b, (q15_t)0x1108, (q15_t)0x10a4, (q15_t)0x1040, (q15_t)0xfdd,
+ (q15_t)0xf79, (q15_t)0xf15, (q15_t)0xeb1, (q15_t)0xe4d, (q15_t)0xde9, (q15_t)0xd85, (q15_t)0xd21, (q15_t)0xcbd,
+ (q15_t)0xc59, (q15_t)0xbf5, (q15_t)0xb91, (q15_t)0xb2d, (q15_t)0xac9, (q15_t)0xa65, (q15_t)0xa00, (q15_t)0x99c,
+ (q15_t)0x938, (q15_t)0x8d4, (q15_t)0x86f, (q15_t)0x80b, (q15_t)0x7a7, (q15_t)0x742, (q15_t)0x6de, (q15_t)0x67a,
+ (q15_t)0x615, (q15_t)0x5b1, (q15_t)0x54c, (q15_t)0x4e8, (q15_t)0x483, (q15_t)0x41f, (q15_t)0x3ba, (q15_t)0x356,
+ (q15_t)0x2f1, (q15_t)0x28d, (q15_t)0x228, (q15_t)0x1c4, (q15_t)0x15f, (q15_t)0xfb, (q15_t)0x96, (q15_t)0x32
+};
+
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+ const q15_t __ALIGNED(4) WeightsQ15_2048[4096] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffb5,
+ (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff51,
+ (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeec,
+ (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffd, (q15_t)0xfe88,
+ (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe23,
+ (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffa, (q15_t)0xfdbe,
+ (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff8, (q15_t)0xfd5a,
+ (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff6, (q15_t)0xfcf5,
+ (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfc91,
+ (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc2c,
+ (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbc8,
+ (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7fea, (q15_t)0xfb64,
+ (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe6, (q15_t)0xfaff,
+ (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe2, (q15_t)0xfa9b,
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+ (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cc5, (q15_t)0x8f59,
+ (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c6c, (q15_t)0x8f2a,
+ (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c14, (q15_t)0x8efa,
+ (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bbb, (q15_t)0x8ecb,
+ (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b62, (q15_t)0x8e9c,
+ (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b09, (q15_t)0x8e6e,
+ (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3aaf, (q15_t)0x8e40,
+ (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a56, (q15_t)0x8e12,
+ (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x39fd, (q15_t)0x8de4,
+ (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39a3, (q15_t)0x8db7,
+ (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x3949, (q15_t)0x8d8a,
+ (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x38ef, (q15_t)0x8d5d,
+ (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x3895, (q15_t)0x8d30,
+ (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x383b, (q15_t)0x8d04,
+ (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37e0, (q15_t)0x8cd8,
+ (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3786, (q15_t)0x8cac,
+ (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x372b, (q15_t)0x8c81,
+ (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36d0, (q15_t)0x8c55,
+ (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3675, (q15_t)0x8c2a,
+ (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x361a, (q15_t)0x8c00,
+ (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35bf, (q15_t)0x8bd5,
+ (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3564, (q15_t)0x8bab,
+ (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x3508, (q15_t)0x8b82,
+ (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34ad, (q15_t)0x8b58,
+ (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3451, (q15_t)0x8b2f,
+ (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x33f5, (q15_t)0x8b06,
+ (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x3399, (q15_t)0x8add,
+ (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x333d, (q15_t)0x8ab5,
+ (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32e1, (q15_t)0x8a8d,
+ (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3285, (q15_t)0x8a65,
+ (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x3228, (q15_t)0x8a3d,
+ (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31cc, (q15_t)0x8a16,
+ (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x316f, (q15_t)0x89ef,
+ (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3112, (q15_t)0x89c8,
+ (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30b6, (q15_t)0x89a2,
+ (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x3059, (q15_t)0x897c,
+ (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x2ffb, (q15_t)0x8956,
+ (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2f9e, (q15_t)0x8931,
+ (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f41, (q15_t)0x890b,
+ (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ee3, (q15_t)0x88e6,
+ (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e86, (q15_t)0x88c2,
+ (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e28, (q15_t)0x889d,
+ (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2dca, (q15_t)0x8879,
+ (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d6c, (q15_t)0x8855,
+ (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d0e, (q15_t)0x8832,
+ (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cb0, (q15_t)0x880f,
+ (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c52, (q15_t)0x87ec,
+ (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2bf3, (q15_t)0x87c9,
+ (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2b95, (q15_t)0x87a7,
+ (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b36, (q15_t)0x8784,
+ (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ad8, (q15_t)0x8763,
+ (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a79, (q15_t)0x8741,
+ (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a1a, (q15_t)0x8720,
+ (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29bb, (q15_t)0x86ff,
+ (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x295c, (q15_t)0x86de,
+ (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x28fd, (q15_t)0x86be,
+ (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x289d, (q15_t)0x869e,
+ (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x283e, (q15_t)0x867e,
+ (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27df, (q15_t)0x865f,
+ (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x277f, (q15_t)0x8640,
+ (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x271f, (q15_t)0x8621,
+ (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26c0, (q15_t)0x8602,
+ (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2660, (q15_t)0x85e4,
+ (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2600, (q15_t)0x85c6,
+ (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25a0, (q15_t)0x85a8,
+ (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2540, (q15_t)0x858b,
+ (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24df, (q15_t)0x856e,
+ (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x247f, (q15_t)0x8551,
+ (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x241f, (q15_t)0x8534,
+ (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23be, (q15_t)0x8518,
+ (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x235e, (q15_t)0x84fc,
+ (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x22fd, (q15_t)0x84e1,
+ (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x229c, (q15_t)0x84c5,
+ (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x223b, (q15_t)0x84aa,
+ (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21da, (q15_t)0x848f,
+ (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x2179, (q15_t)0x8475,
+ (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x2118, (q15_t)0x845b,
+ (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20b7, (q15_t)0x8441,
+ (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2056, (q15_t)0x8427,
+ (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x1ff5, (q15_t)0x840e,
+ (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1f93, (q15_t)0x83f5,
+ (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f32, (q15_t)0x83dd,
+ (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ed0, (q15_t)0x83c4,
+ (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e6f, (q15_t)0x83ac,
+ (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e0d, (q15_t)0x8394,
+ (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dab, (q15_t)0x837d,
+ (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d49, (q15_t)0x8366,
+ (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1ce8, (q15_t)0x834f,
+ (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c86, (q15_t)0x8338,
+ (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c24, (q15_t)0x8322,
+ (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bc1, (q15_t)0x830c,
+ (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b5f, (q15_t)0x82f7,
+ (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1afd, (q15_t)0x82e1,
+ (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1a9b, (q15_t)0x82cc,
+ (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a38, (q15_t)0x82b7,
+ (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19d6, (q15_t)0x82a3,
+ (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1973, (q15_t)0x828f,
+ (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1911, (q15_t)0x827b,
+ (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18ae, (q15_t)0x8268,
+ (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x184c, (q15_t)0x8254,
+ (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17e9, (q15_t)0x8241,
+ (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1786, (q15_t)0x822f,
+ (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1723, (q15_t)0x821c,
+ (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16c0, (q15_t)0x820a,
+ (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x165d, (q15_t)0x81f9,
+ (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x15fa, (q15_t)0x81e7,
+ (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x1597, (q15_t)0x81d6,
+ (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1534, (q15_t)0x81c5,
+ (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14d1, (q15_t)0x81b5,
+ (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x146e, (q15_t)0x81a5,
+ (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x140b, (q15_t)0x8195,
+ (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13a7, (q15_t)0x8185,
+ (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1344, (q15_t)0x8176,
+ (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12e0, (q15_t)0x8167,
+ (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x127d, (q15_t)0x8158,
+ (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x1219, (q15_t)0x814a,
+ (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11b6, (q15_t)0x813c,
+ (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1152, (q15_t)0x812e,
+ (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x10ef, (q15_t)0x8121,
+ (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x108b, (q15_t)0x8113,
+ (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x1027, (q15_t)0x8107,
+ (q15_t)0x100e, (q15_t)0x8103, (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfc4, (q15_t)0x80fa,
+ (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf60, (q15_t)0x80ee,
+ (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xefc, (q15_t)0x80e2,
+ (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xe98, (q15_t)0x80d6,
+ (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe34, (q15_t)0x80cb,
+ (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xdd0, (q15_t)0x80c0,
+ (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd6c, (q15_t)0x80b5,
+ (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd08, (q15_t)0x80ab,
+ (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xca4, (q15_t)0x80a1,
+ (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc40, (q15_t)0x8097,
+ (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbdc, (q15_t)0x808e,
+ (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb78, (q15_t)0x8084,
+ (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb14, (q15_t)0x807b,
+ (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xab0, (q15_t)0x8073,
+ (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa4c, (q15_t)0x806b,
+ (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9e7, (q15_t)0x8063,
+ (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x983, (q15_t)0x805b,
+ (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x951, (q15_t)0x8057, (q15_t)0x938, (q15_t)0x8056, (q15_t)0x91f, (q15_t)0x8054,
+ (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8bb, (q15_t)0x804d,
+ (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x888, (q15_t)0x8049, (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x856, (q15_t)0x8046,
+ (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x824, (q15_t)0x8043, (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x7f2, (q15_t)0x8040,
+ (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x78e, (q15_t)0x803a,
+ (q15_t)0x775, (q15_t)0x8038, (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x742, (q15_t)0x8035, (q15_t)0x729, (q15_t)0x8034,
+ (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6c5, (q15_t)0x802e,
+ (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x693, (q15_t)0x802c, (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x660, (q15_t)0x8029,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x615, (q15_t)0x8026, (q15_t)0x5fc, (q15_t)0x8024,
+ (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x598, (q15_t)0x8020,
+ (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x565, (q15_t)0x801e, (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x533, (q15_t)0x801c,
+ (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4cf, (q15_t)0x8018,
+ (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x483, (q15_t)0x8015, (q15_t)0x46a, (q15_t)0x8014,
+ (q15_t)0x451, (q15_t)0x8013, (q15_t)0x438, (q15_t)0x8012, (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x406, (q15_t)0x8011,
+ (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3a1, (q15_t)0x800e,
+ (q15_t)0x388, (q15_t)0x800d, (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x356, (q15_t)0x800c, (q15_t)0x33d, (q15_t)0x800b,
+ (q15_t)0x324, (q15_t)0x800a, (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2d8, (q15_t)0x8009,
+ (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x274, (q15_t)0x8007,
+ (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x242, (q15_t)0x8006, (q15_t)0x228, (q15_t)0x8005, (q15_t)0x20f, (q15_t)0x8005,
+ (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1ab, (q15_t)0x8003,
+ (q15_t)0x192, (q15_t)0x8003, (q15_t)0x178, (q15_t)0x8003, (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x146, (q15_t)0x8002,
+ (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x114, (q15_t)0x8002, (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xe2, (q15_t)0x8001,
+ (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xaf, (q15_t)0x8001, (q15_t)0x96, (q15_t)0x8001, (q15_t)0x7d, (q15_t)0x8001,
+ (q15_t)0x64, (q15_t)0x8001, (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x32, (q15_t)0x8001, (q15_t)0x19, (q15_t)0x8001
+};
+ const q15_t __ALIGNED(4) cos_factorsQ15_2048[2048] = {
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd,
+ (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa,
+ (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6,
+ (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff1, (q15_t)0x7ff0,
+ (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7fea,
+ (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe3, (q15_t)0x7fe2,
+ (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fda, (q15_t)0x7fd9,
+ (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd0, (q15_t)0x7fce,
+ (q15_t)0x7fcd, (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc4, (q15_t)0x7fc3,
+ (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fbe, (q15_t)0x7fbc, (q15_t)0x7fbb, (q15_t)0x7fb9, (q15_t)0x7fb7, (q15_t)0x7fb6,
+ (q15_t)0x7fb4, (q15_t)0x7fb2, (q15_t)0x7fb1, (q15_t)0x7faf, (q15_t)0x7fad, (q15_t)0x7fab, (q15_t)0x7fa9, (q15_t)0x7fa8,
+ (q15_t)0x7fa6, (q15_t)0x7fa4, (q15_t)0x7fa2, (q15_t)0x7fa0, (q15_t)0x7f9e, (q15_t)0x7f9c, (q15_t)0x7f9a, (q15_t)0x7f98,
+ (q15_t)0x7f96, (q15_t)0x7f94, (q15_t)0x7f92, (q15_t)0x7f90, (q15_t)0x7f8e, (q15_t)0x7f8c, (q15_t)0x7f8a, (q15_t)0x7f88,
+ (q15_t)0x7f86, (q15_t)0x7f83, (q15_t)0x7f81, (q15_t)0x7f7f, (q15_t)0x7f7d, (q15_t)0x7f7b, (q15_t)0x7f78, (q15_t)0x7f76,
+ (q15_t)0x7f74, (q15_t)0x7f71, (q15_t)0x7f6f, (q15_t)0x7f6d, (q15_t)0x7f6a, (q15_t)0x7f68, (q15_t)0x7f65, (q15_t)0x7f63,
+ (q15_t)0x7f60, (q15_t)0x7f5e, (q15_t)0x7f5b, (q15_t)0x7f59, (q15_t)0x7f56, (q15_t)0x7f54, (q15_t)0x7f51, (q15_t)0x7f4f,
+ (q15_t)0x7f4c, (q15_t)0x7f49, (q15_t)0x7f47, (q15_t)0x7f44, (q15_t)0x7f41, (q15_t)0x7f3f, (q15_t)0x7f3c, (q15_t)0x7f39,
+ (q15_t)0x7f36, (q15_t)0x7f34, (q15_t)0x7f31, (q15_t)0x7f2e, (q15_t)0x7f2b, (q15_t)0x7f28, (q15_t)0x7f25, (q15_t)0x7f23,
+ (q15_t)0x7f20, (q15_t)0x7f1d, (q15_t)0x7f1a, (q15_t)0x7f17, (q15_t)0x7f14, (q15_t)0x7f11, (q15_t)0x7f0e, (q15_t)0x7f0b,
+ (q15_t)0x7f08, (q15_t)0x7f04, (q15_t)0x7f01, (q15_t)0x7efe, (q15_t)0x7efb, (q15_t)0x7ef8, (q15_t)0x7ef5, (q15_t)0x7ef1,
+ (q15_t)0x7eee, (q15_t)0x7eeb, (q15_t)0x7ee8, (q15_t)0x7ee4, (q15_t)0x7ee1, (q15_t)0x7ede, (q15_t)0x7eda, (q15_t)0x7ed7,
+ (q15_t)0x7ed4, (q15_t)0x7ed0, (q15_t)0x7ecd, (q15_t)0x7ec9, (q15_t)0x7ec6, (q15_t)0x7ec3, (q15_t)0x7ebf, (q15_t)0x7ebb,
+ (q15_t)0x7eb8, (q15_t)0x7eb4, (q15_t)0x7eb1, (q15_t)0x7ead, (q15_t)0x7eaa, (q15_t)0x7ea6, (q15_t)0x7ea2, (q15_t)0x7e9f,
+ (q15_t)0x7e9b, (q15_t)0x7e97, (q15_t)0x7e94, (q15_t)0x7e90, (q15_t)0x7e8c, (q15_t)0x7e88, (q15_t)0x7e84, (q15_t)0x7e81,
+ (q15_t)0x7e7d, (q15_t)0x7e79, (q15_t)0x7e75, (q15_t)0x7e71, (q15_t)0x7e6d, (q15_t)0x7e69, (q15_t)0x7e65, (q15_t)0x7e61,
+ (q15_t)0x7e5d, (q15_t)0x7e59, (q15_t)0x7e55, (q15_t)0x7e51, (q15_t)0x7e4d, (q15_t)0x7e49, (q15_t)0x7e45, (q15_t)0x7e41,
+ (q15_t)0x7e3d, (q15_t)0x7e39, (q15_t)0x7e34, (q15_t)0x7e30, (q15_t)0x7e2c, (q15_t)0x7e28, (q15_t)0x7e24, (q15_t)0x7e1f,
+ (q15_t)0x7e1b, (q15_t)0x7e17, (q15_t)0x7e12, (q15_t)0x7e0e, (q15_t)0x7e0a, (q15_t)0x7e05, (q15_t)0x7e01, (q15_t)0x7dfc,
+ (q15_t)0x7df8, (q15_t)0x7df3, (q15_t)0x7def, (q15_t)0x7dea, (q15_t)0x7de6, (q15_t)0x7de1, (q15_t)0x7ddd, (q15_t)0x7dd8,
+ (q15_t)0x7dd4, (q15_t)0x7dcf, (q15_t)0x7dca, (q15_t)0x7dc6, (q15_t)0x7dc1, (q15_t)0x7dbc, (q15_t)0x7db8, (q15_t)0x7db3,
+ (q15_t)0x7dae, (q15_t)0x7da9, (q15_t)0x7da5, (q15_t)0x7da0, (q15_t)0x7d9b, (q15_t)0x7d96, (q15_t)0x7d91, (q15_t)0x7d8c,
+ (q15_t)0x7d87, (q15_t)0x7d82, (q15_t)0x7d7e, (q15_t)0x7d79, (q15_t)0x7d74, (q15_t)0x7d6f, (q15_t)0x7d6a, (q15_t)0x7d65,
+ (q15_t)0x7d60, (q15_t)0x7d5a, (q15_t)0x7d55, (q15_t)0x7d50, (q15_t)0x7d4b, (q15_t)0x7d46, (q15_t)0x7d41, (q15_t)0x7d3c,
+ (q15_t)0x7d36, (q15_t)0x7d31, (q15_t)0x7d2c, (q15_t)0x7d27, (q15_t)0x7d21, (q15_t)0x7d1c, (q15_t)0x7d17, (q15_t)0x7d11,
+ (q15_t)0x7d0c, (q15_t)0x7d07, (q15_t)0x7d01, (q15_t)0x7cfc, (q15_t)0x7cf6, (q15_t)0x7cf1, (q15_t)0x7cec, (q15_t)0x7ce6,
+ (q15_t)0x7ce1, (q15_t)0x7cdb, (q15_t)0x7cd5, (q15_t)0x7cd0, (q15_t)0x7cca, (q15_t)0x7cc5, (q15_t)0x7cbf, (q15_t)0x7cb9,
+ (q15_t)0x7cb4, (q15_t)0x7cae, (q15_t)0x7ca8, (q15_t)0x7ca3, (q15_t)0x7c9d, (q15_t)0x7c97, (q15_t)0x7c91, (q15_t)0x7c8c,
+ (q15_t)0x7c86, (q15_t)0x7c80, (q15_t)0x7c7a, (q15_t)0x7c74, (q15_t)0x7c6e, (q15_t)0x7c69, (q15_t)0x7c63, (q15_t)0x7c5d,
+ (q15_t)0x7c57, (q15_t)0x7c51, (q15_t)0x7c4b, (q15_t)0x7c45, (q15_t)0x7c3f, (q15_t)0x7c39, (q15_t)0x7c33, (q15_t)0x7c2d,
+ (q15_t)0x7c26, (q15_t)0x7c20, (q15_t)0x7c1a, (q15_t)0x7c14, (q15_t)0x7c0e, (q15_t)0x7c08, (q15_t)0x7c01, (q15_t)0x7bfb,
+ (q15_t)0x7bf5, (q15_t)0x7bef, (q15_t)0x7be8, (q15_t)0x7be2, (q15_t)0x7bdc, (q15_t)0x7bd5, (q15_t)0x7bcf, (q15_t)0x7bc9,
+ (q15_t)0x7bc2, (q15_t)0x7bbc, (q15_t)0x7bb5, (q15_t)0x7baf, (q15_t)0x7ba8, (q15_t)0x7ba2, (q15_t)0x7b9b, (q15_t)0x7b95,
+ (q15_t)0x7b8e, (q15_t)0x7b88, (q15_t)0x7b81, (q15_t)0x7b7a, (q15_t)0x7b74, (q15_t)0x7b6d, (q15_t)0x7b67, (q15_t)0x7b60,
+ (q15_t)0x7b59, (q15_t)0x7b52, (q15_t)0x7b4c, (q15_t)0x7b45, (q15_t)0x7b3e, (q15_t)0x7b37, (q15_t)0x7b31, (q15_t)0x7b2a,
+ (q15_t)0x7b23, (q15_t)0x7b1c, (q15_t)0x7b15, (q15_t)0x7b0e, (q15_t)0x7b07, (q15_t)0x7b00, (q15_t)0x7af9, (q15_t)0x7af2,
+ (q15_t)0x7aeb, (q15_t)0x7ae4, (q15_t)0x7add, (q15_t)0x7ad6, (q15_t)0x7acf, (q15_t)0x7ac8, (q15_t)0x7ac1, (q15_t)0x7aba,
+ (q15_t)0x7ab3, (q15_t)0x7aac, (q15_t)0x7aa4, (q15_t)0x7a9d, (q15_t)0x7a96, (q15_t)0x7a8f, (q15_t)0x7a87, (q15_t)0x7a80,
+ (q15_t)0x7a79, (q15_t)0x7a72, (q15_t)0x7a6a, (q15_t)0x7a63, (q15_t)0x7a5c, (q15_t)0x7a54, (q15_t)0x7a4d, (q15_t)0x7a45,
+ (q15_t)0x7a3e, (q15_t)0x7a36, (q15_t)0x7a2f, (q15_t)0x7a27, (q15_t)0x7a20, (q15_t)0x7a18, (q15_t)0x7a11, (q15_t)0x7a09,
+ (q15_t)0x7a02, (q15_t)0x79fa, (q15_t)0x79f2, (q15_t)0x79eb, (q15_t)0x79e3, (q15_t)0x79db, (q15_t)0x79d4, (q15_t)0x79cc,
+ (q15_t)0x79c4, (q15_t)0x79bc, (q15_t)0x79b5, (q15_t)0x79ad, (q15_t)0x79a5, (q15_t)0x799d, (q15_t)0x7995, (q15_t)0x798e,
+ (q15_t)0x7986, (q15_t)0x797e, (q15_t)0x7976, (q15_t)0x796e, (q15_t)0x7966, (q15_t)0x795e, (q15_t)0x7956, (q15_t)0x794e,
+ (q15_t)0x7946, (q15_t)0x793e, (q15_t)0x7936, (q15_t)0x792e, (q15_t)0x7926, (q15_t)0x791e, (q15_t)0x7915, (q15_t)0x790d,
+ (q15_t)0x7905, (q15_t)0x78fd, (q15_t)0x78f5, (q15_t)0x78ec, (q15_t)0x78e4, (q15_t)0x78dc, (q15_t)0x78d4, (q15_t)0x78cb,
+ (q15_t)0x78c3, (q15_t)0x78bb, (q15_t)0x78b2, (q15_t)0x78aa, (q15_t)0x78a2, (q15_t)0x7899, (q15_t)0x7891, (q15_t)0x7888,
+ (q15_t)0x7880, (q15_t)0x7877, (q15_t)0x786f, (q15_t)0x7866, (q15_t)0x785e, (q15_t)0x7855, (q15_t)0x784d, (q15_t)0x7844,
+ (q15_t)0x783b, (q15_t)0x7833, (q15_t)0x782a, (q15_t)0x7821, (q15_t)0x7819, (q15_t)0x7810, (q15_t)0x7807, (q15_t)0x77ff,
+ (q15_t)0x77f6, (q15_t)0x77ed, (q15_t)0x77e4, (q15_t)0x77db, (q15_t)0x77d3, (q15_t)0x77ca, (q15_t)0x77c1, (q15_t)0x77b8,
+ (q15_t)0x77af, (q15_t)0x77a6, (q15_t)0x779d, (q15_t)0x7794, (q15_t)0x778b, (q15_t)0x7782, (q15_t)0x7779, (q15_t)0x7770,
+ (q15_t)0x7767, (q15_t)0x775e, (q15_t)0x7755, (q15_t)0x774c, (q15_t)0x7743, (q15_t)0x773a, (q15_t)0x7731, (q15_t)0x7727,
+ (q15_t)0x771e, (q15_t)0x7715, (q15_t)0x770c, (q15_t)0x7703, (q15_t)0x76f9, (q15_t)0x76f0, (q15_t)0x76e7, (q15_t)0x76dd,
+ (q15_t)0x76d4, (q15_t)0x76cb, (q15_t)0x76c1, (q15_t)0x76b8, (q15_t)0x76af, (q15_t)0x76a5, (q15_t)0x769c, (q15_t)0x7692,
+ (q15_t)0x7689, (q15_t)0x767f, (q15_t)0x7676, (q15_t)0x766c, (q15_t)0x7663, (q15_t)0x7659, (q15_t)0x7650, (q15_t)0x7646,
+ (q15_t)0x763c, (q15_t)0x7633, (q15_t)0x7629, (q15_t)0x761f, (q15_t)0x7616, (q15_t)0x760c, (q15_t)0x7602, (q15_t)0x75f9,
+ (q15_t)0x75ef, (q15_t)0x75e5, (q15_t)0x75db, (q15_t)0x75d1, (q15_t)0x75c8, (q15_t)0x75be, (q15_t)0x75b4, (q15_t)0x75aa,
+ (q15_t)0x75a0, (q15_t)0x7596, (q15_t)0x758c, (q15_t)0x7582, (q15_t)0x7578, (q15_t)0x756e, (q15_t)0x7564, (q15_t)0x755a,
+ (q15_t)0x7550, (q15_t)0x7546, (q15_t)0x753c, (q15_t)0x7532, (q15_t)0x7528, (q15_t)0x751e, (q15_t)0x7514, (q15_t)0x7509,
+ (q15_t)0x74ff, (q15_t)0x74f5, (q15_t)0x74eb, (q15_t)0x74e1, (q15_t)0x74d6, (q15_t)0x74cc, (q15_t)0x74c2, (q15_t)0x74b7,
+ (q15_t)0x74ad, (q15_t)0x74a3, (q15_t)0x7498, (q15_t)0x748e, (q15_t)0x7484, (q15_t)0x7479, (q15_t)0x746f, (q15_t)0x7464,
+ (q15_t)0x745a, (q15_t)0x744f, (q15_t)0x7445, (q15_t)0x743a, (q15_t)0x7430, (q15_t)0x7425, (q15_t)0x741b, (q15_t)0x7410,
+ (q15_t)0x7406, (q15_t)0x73fb, (q15_t)0x73f0, (q15_t)0x73e6, (q15_t)0x73db, (q15_t)0x73d0, (q15_t)0x73c6, (q15_t)0x73bb,
+ (q15_t)0x73b0, (q15_t)0x73a5, (q15_t)0x739b, (q15_t)0x7390, (q15_t)0x7385, (q15_t)0x737a, (q15_t)0x736f, (q15_t)0x7364,
+ (q15_t)0x7359, (q15_t)0x734f, (q15_t)0x7344, (q15_t)0x7339, (q15_t)0x732e, (q15_t)0x7323, (q15_t)0x7318, (q15_t)0x730d,
+ (q15_t)0x7302, (q15_t)0x72f7, (q15_t)0x72ec, (q15_t)0x72e1, (q15_t)0x72d5, (q15_t)0x72ca, (q15_t)0x72bf, (q15_t)0x72b4,
+ (q15_t)0x72a9, (q15_t)0x729e, (q15_t)0x7293, (q15_t)0x7287, (q15_t)0x727c, (q15_t)0x7271, (q15_t)0x7266, (q15_t)0x725a,
+ (q15_t)0x724f, (q15_t)0x7244, (q15_t)0x7238, (q15_t)0x722d, (q15_t)0x7222, (q15_t)0x7216, (q15_t)0x720b, (q15_t)0x71ff,
+ (q15_t)0x71f4, (q15_t)0x71e9, (q15_t)0x71dd, (q15_t)0x71d2, (q15_t)0x71c6, (q15_t)0x71bb, (q15_t)0x71af, (q15_t)0x71a3,
+ (q15_t)0x7198, (q15_t)0x718c, (q15_t)0x7181, (q15_t)0x7175, (q15_t)0x7169, (q15_t)0x715e, (q15_t)0x7152, (q15_t)0x7146,
+ (q15_t)0x713b, (q15_t)0x712f, (q15_t)0x7123, (q15_t)0x7117, (q15_t)0x710c, (q15_t)0x7100, (q15_t)0x70f4, (q15_t)0x70e8,
+ (q15_t)0x70dc, (q15_t)0x70d1, (q15_t)0x70c5, (q15_t)0x70b9, (q15_t)0x70ad, (q15_t)0x70a1, (q15_t)0x7095, (q15_t)0x7089,
+ (q15_t)0x707d, (q15_t)0x7071, (q15_t)0x7065, (q15_t)0x7059, (q15_t)0x704d, (q15_t)0x7041, (q15_t)0x7035, (q15_t)0x7029,
+ (q15_t)0x701d, (q15_t)0x7010, (q15_t)0x7004, (q15_t)0x6ff8, (q15_t)0x6fec, (q15_t)0x6fe0, (q15_t)0x6fd3, (q15_t)0x6fc7,
+ (q15_t)0x6fbb, (q15_t)0x6faf, (q15_t)0x6fa2, (q15_t)0x6f96, (q15_t)0x6f8a, (q15_t)0x6f7d, (q15_t)0x6f71, (q15_t)0x6f65,
+ (q15_t)0x6f58, (q15_t)0x6f4c, (q15_t)0x6f3f, (q15_t)0x6f33, (q15_t)0x6f27, (q15_t)0x6f1a, (q15_t)0x6f0e, (q15_t)0x6f01,
+ (q15_t)0x6ef5, (q15_t)0x6ee8, (q15_t)0x6edc, (q15_t)0x6ecf, (q15_t)0x6ec2, (q15_t)0x6eb6, (q15_t)0x6ea9, (q15_t)0x6e9c,
+ (q15_t)0x6e90, (q15_t)0x6e83, (q15_t)0x6e76, (q15_t)0x6e6a, (q15_t)0x6e5d, (q15_t)0x6e50, (q15_t)0x6e44, (q15_t)0x6e37,
+ (q15_t)0x6e2a, (q15_t)0x6e1d, (q15_t)0x6e10, (q15_t)0x6e04, (q15_t)0x6df7, (q15_t)0x6dea, (q15_t)0x6ddd, (q15_t)0x6dd0,
+ (q15_t)0x6dc3, (q15_t)0x6db6, (q15_t)0x6da9, (q15_t)0x6d9c, (q15_t)0x6d8f, (q15_t)0x6d82, (q15_t)0x6d75, (q15_t)0x6d68,
+ (q15_t)0x6d5b, (q15_t)0x6d4e, (q15_t)0x6d41, (q15_t)0x6d34, (q15_t)0x6d27, (q15_t)0x6d1a, (q15_t)0x6d0c, (q15_t)0x6cff,
+ (q15_t)0x6cf2, (q15_t)0x6ce5, (q15_t)0x6cd8, (q15_t)0x6cca, (q15_t)0x6cbd, (q15_t)0x6cb0, (q15_t)0x6ca3, (q15_t)0x6c95,
+ (q15_t)0x6c88, (q15_t)0x6c7b, (q15_t)0x6c6d, (q15_t)0x6c60, (q15_t)0x6c53, (q15_t)0x6c45, (q15_t)0x6c38, (q15_t)0x6c2a,
+ (q15_t)0x6c1d, (q15_t)0x6c0f, (q15_t)0x6c02, (q15_t)0x6bf5, (q15_t)0x6be7, (q15_t)0x6bd9, (q15_t)0x6bcc, (q15_t)0x6bbe,
+ (q15_t)0x6bb1, (q15_t)0x6ba3, (q15_t)0x6b96, (q15_t)0x6b88, (q15_t)0x6b7a, (q15_t)0x6b6d, (q15_t)0x6b5f, (q15_t)0x6b51,
+ (q15_t)0x6b44, (q15_t)0x6b36, (q15_t)0x6b28, (q15_t)0x6b1a, (q15_t)0x6b0d, (q15_t)0x6aff, (q15_t)0x6af1, (q15_t)0x6ae3,
+ (q15_t)0x6ad5, (q15_t)0x6ac8, (q15_t)0x6aba, (q15_t)0x6aac, (q15_t)0x6a9e, (q15_t)0x6a90, (q15_t)0x6a82, (q15_t)0x6a74,
+ (q15_t)0x6a66, (q15_t)0x6a58, (q15_t)0x6a4a, (q15_t)0x6a3c, (q15_t)0x6a2e, (q15_t)0x6a20, (q15_t)0x6a12, (q15_t)0x6a04,
+ (q15_t)0x69f6, (q15_t)0x69e8, (q15_t)0x69da, (q15_t)0x69cb, (q15_t)0x69bd, (q15_t)0x69af, (q15_t)0x69a1, (q15_t)0x6993,
+ (q15_t)0x6985, (q15_t)0x6976, (q15_t)0x6968, (q15_t)0x695a, (q15_t)0x694b, (q15_t)0x693d, (q15_t)0x692f, (q15_t)0x6921,
+ (q15_t)0x6912, (q15_t)0x6904, (q15_t)0x68f5, (q15_t)0x68e7, (q15_t)0x68d9, (q15_t)0x68ca, (q15_t)0x68bc, (q15_t)0x68ad,
+ (q15_t)0x689f, (q15_t)0x6890, (q15_t)0x6882, (q15_t)0x6873, (q15_t)0x6865, (q15_t)0x6856, (q15_t)0x6848, (q15_t)0x6839,
+ (q15_t)0x682b, (q15_t)0x681c, (q15_t)0x680d, (q15_t)0x67ff, (q15_t)0x67f0, (q15_t)0x67e1, (q15_t)0x67d3, (q15_t)0x67c4,
+ (q15_t)0x67b5, (q15_t)0x67a6, (q15_t)0x6798, (q15_t)0x6789, (q15_t)0x677a, (q15_t)0x676b, (q15_t)0x675d, (q15_t)0x674e,
+ (q15_t)0x673f, (q15_t)0x6730, (q15_t)0x6721, (q15_t)0x6712, (q15_t)0x6703, (q15_t)0x66f4, (q15_t)0x66e5, (q15_t)0x66d6,
+ (q15_t)0x66c8, (q15_t)0x66b9, (q15_t)0x66aa, (q15_t)0x669b, (q15_t)0x668b, (q15_t)0x667c, (q15_t)0x666d, (q15_t)0x665e,
+ (q15_t)0x664f, (q15_t)0x6640, (q15_t)0x6631, (q15_t)0x6622, (q15_t)0x6613, (q15_t)0x6603, (q15_t)0x65f4, (q15_t)0x65e5,
+ (q15_t)0x65d6, (q15_t)0x65c7, (q15_t)0x65b7, (q15_t)0x65a8, (q15_t)0x6599, (q15_t)0x658a, (q15_t)0x657a, (q15_t)0x656b,
+ (q15_t)0x655c, (q15_t)0x654c, (q15_t)0x653d, (q15_t)0x652d, (q15_t)0x651e, (q15_t)0x650f, (q15_t)0x64ff, (q15_t)0x64f0,
+ (q15_t)0x64e0, (q15_t)0x64d1, (q15_t)0x64c1, (q15_t)0x64b2, (q15_t)0x64a2, (q15_t)0x6493, (q15_t)0x6483, (q15_t)0x6474,
+ (q15_t)0x6464, (q15_t)0x6454, (q15_t)0x6445, (q15_t)0x6435, (q15_t)0x6426, (q15_t)0x6416, (q15_t)0x6406, (q15_t)0x63f7,
+ (q15_t)0x63e7, (q15_t)0x63d7, (q15_t)0x63c7, (q15_t)0x63b8, (q15_t)0x63a8, (q15_t)0x6398, (q15_t)0x6388, (q15_t)0x6378,
+ (q15_t)0x6369, (q15_t)0x6359, (q15_t)0x6349, (q15_t)0x6339, (q15_t)0x6329, (q15_t)0x6319, (q15_t)0x6309, (q15_t)0x62f9,
+ (q15_t)0x62ea, (q15_t)0x62da, (q15_t)0x62ca, (q15_t)0x62ba, (q15_t)0x62aa, (q15_t)0x629a, (q15_t)0x628a, (q15_t)0x627a,
+ (q15_t)0x6269, (q15_t)0x6259, (q15_t)0x6249, (q15_t)0x6239, (q15_t)0x6229, (q15_t)0x6219, (q15_t)0x6209, (q15_t)0x61f9,
+ (q15_t)0x61e8, (q15_t)0x61d8, (q15_t)0x61c8, (q15_t)0x61b8, (q15_t)0x61a8, (q15_t)0x6197, (q15_t)0x6187, (q15_t)0x6177,
+ (q15_t)0x6166, (q15_t)0x6156, (q15_t)0x6146, (q15_t)0x6135, (q15_t)0x6125, (q15_t)0x6115, (q15_t)0x6104, (q15_t)0x60f4,
+ (q15_t)0x60e4, (q15_t)0x60d3, (q15_t)0x60c3, (q15_t)0x60b2, (q15_t)0x60a2, (q15_t)0x6091, (q15_t)0x6081, (q15_t)0x6070,
+ (q15_t)0x6060, (q15_t)0x604f, (q15_t)0x603f, (q15_t)0x602e, (q15_t)0x601d, (q15_t)0x600d, (q15_t)0x5ffc, (q15_t)0x5fec,
+ (q15_t)0x5fdb, (q15_t)0x5fca, (q15_t)0x5fba, (q15_t)0x5fa9, (q15_t)0x5f98, (q15_t)0x5f87, (q15_t)0x5f77, (q15_t)0x5f66,
+ (q15_t)0x5f55, (q15_t)0x5f44, (q15_t)0x5f34, (q15_t)0x5f23, (q15_t)0x5f12, (q15_t)0x5f01, (q15_t)0x5ef0, (q15_t)0x5edf,
+ (q15_t)0x5ecf, (q15_t)0x5ebe, (q15_t)0x5ead, (q15_t)0x5e9c, (q15_t)0x5e8b, (q15_t)0x5e7a, (q15_t)0x5e69, (q15_t)0x5e58,
+ (q15_t)0x5e47, (q15_t)0x5e36, (q15_t)0x5e25, (q15_t)0x5e14, (q15_t)0x5e03, (q15_t)0x5df2, (q15_t)0x5de1, (q15_t)0x5dd0,
+ (q15_t)0x5dbf, (q15_t)0x5dad, (q15_t)0x5d9c, (q15_t)0x5d8b, (q15_t)0x5d7a, (q15_t)0x5d69, (q15_t)0x5d58, (q15_t)0x5d46,
+ (q15_t)0x5d35, (q15_t)0x5d24, (q15_t)0x5d13, (q15_t)0x5d01, (q15_t)0x5cf0, (q15_t)0x5cdf, (q15_t)0x5cce, (q15_t)0x5cbc,
+ (q15_t)0x5cab, (q15_t)0x5c9a, (q15_t)0x5c88, (q15_t)0x5c77, (q15_t)0x5c66, (q15_t)0x5c54, (q15_t)0x5c43, (q15_t)0x5c31,
+ (q15_t)0x5c20, (q15_t)0x5c0e, (q15_t)0x5bfd, (q15_t)0x5beb, (q15_t)0x5bda, (q15_t)0x5bc8, (q15_t)0x5bb7, (q15_t)0x5ba5,
+ (q15_t)0x5b94, (q15_t)0x5b82, (q15_t)0x5b71, (q15_t)0x5b5f, (q15_t)0x5b4d, (q15_t)0x5b3c, (q15_t)0x5b2a, (q15_t)0x5b19,
+ (q15_t)0x5b07, (q15_t)0x5af5, (q15_t)0x5ae4, (q15_t)0x5ad2, (q15_t)0x5ac0, (q15_t)0x5aae, (q15_t)0x5a9d, (q15_t)0x5a8b,
+ (q15_t)0x5a79, (q15_t)0x5a67, (q15_t)0x5a56, (q15_t)0x5a44, (q15_t)0x5a32, (q15_t)0x5a20, (q15_t)0x5a0e, (q15_t)0x59fc,
+ (q15_t)0x59ea, (q15_t)0x59d9, (q15_t)0x59c7, (q15_t)0x59b5, (q15_t)0x59a3, (q15_t)0x5991, (q15_t)0x597f, (q15_t)0x596d,
+ (q15_t)0x595b, (q15_t)0x5949, (q15_t)0x5937, (q15_t)0x5925, (q15_t)0x5913, (q15_t)0x5901, (q15_t)0x58ef, (q15_t)0x58dd,
+ (q15_t)0x58cb, (q15_t)0x58b8, (q15_t)0x58a6, (q15_t)0x5894, (q15_t)0x5882, (q15_t)0x5870, (q15_t)0x585e, (q15_t)0x584b,
+ (q15_t)0x5839, (q15_t)0x5827, (q15_t)0x5815, (q15_t)0x5803, (q15_t)0x57f0, (q15_t)0x57de, (q15_t)0x57cc, (q15_t)0x57b9,
+ (q15_t)0x57a7, (q15_t)0x5795, (q15_t)0x5783, (q15_t)0x5770, (q15_t)0x575e, (q15_t)0x574b, (q15_t)0x5739, (q15_t)0x5727,
+ (q15_t)0x5714, (q15_t)0x5702, (q15_t)0x56ef, (q15_t)0x56dd, (q15_t)0x56ca, (q15_t)0x56b8, (q15_t)0x56a5, (q15_t)0x5693,
+ (q15_t)0x5680, (q15_t)0x566e, (q15_t)0x565b, (q15_t)0x5649, (q15_t)0x5636, (q15_t)0x5624, (q15_t)0x5611, (q15_t)0x55fe,
+ (q15_t)0x55ec, (q15_t)0x55d9, (q15_t)0x55c7, (q15_t)0x55b4, (q15_t)0x55a1, (q15_t)0x558f, (q15_t)0x557c, (q15_t)0x5569,
+ (q15_t)0x5556, (q15_t)0x5544, (q15_t)0x5531, (q15_t)0x551e, (q15_t)0x550b, (q15_t)0x54f9, (q15_t)0x54e6, (q15_t)0x54d3,
+ (q15_t)0x54c0, (q15_t)0x54ad, (q15_t)0x549a, (q15_t)0x5488, (q15_t)0x5475, (q15_t)0x5462, (q15_t)0x544f, (q15_t)0x543c,
+ (q15_t)0x5429, (q15_t)0x5416, (q15_t)0x5403, (q15_t)0x53f0, (q15_t)0x53dd, (q15_t)0x53ca, (q15_t)0x53b7, (q15_t)0x53a4,
+ (q15_t)0x5391, (q15_t)0x537e, (q15_t)0x536b, (q15_t)0x5358, (q15_t)0x5345, (q15_t)0x5332, (q15_t)0x531f, (q15_t)0x530c,
+ (q15_t)0x52f8, (q15_t)0x52e5, (q15_t)0x52d2, (q15_t)0x52bf, (q15_t)0x52ac, (q15_t)0x5299, (q15_t)0x5285, (q15_t)0x5272,
+ (q15_t)0x525f, (q15_t)0x524c, (q15_t)0x5238, (q15_t)0x5225, (q15_t)0x5212, (q15_t)0x51ff, (q15_t)0x51eb, (q15_t)0x51d8,
+ (q15_t)0x51c5, (q15_t)0x51b1, (q15_t)0x519e, (q15_t)0x518b, (q15_t)0x5177, (q15_t)0x5164, (q15_t)0x5150, (q15_t)0x513d,
+ (q15_t)0x512a, (q15_t)0x5116, (q15_t)0x5103, (q15_t)0x50ef, (q15_t)0x50dc, (q15_t)0x50c8, (q15_t)0x50b5, (q15_t)0x50a1,
+ (q15_t)0x508e, (q15_t)0x507a, (q15_t)0x5067, (q15_t)0x5053, (q15_t)0x503f, (q15_t)0x502c, (q15_t)0x5018, (q15_t)0x5005,
+ (q15_t)0x4ff1, (q15_t)0x4fdd, (q15_t)0x4fca, (q15_t)0x4fb6, (q15_t)0x4fa2, (q15_t)0x4f8f, (q15_t)0x4f7b, (q15_t)0x4f67,
+ (q15_t)0x4f54, (q15_t)0x4f40, (q15_t)0x4f2c, (q15_t)0x4f18, (q15_t)0x4f05, (q15_t)0x4ef1, (q15_t)0x4edd, (q15_t)0x4ec9,
+ (q15_t)0x4eb6, (q15_t)0x4ea2, (q15_t)0x4e8e, (q15_t)0x4e7a, (q15_t)0x4e66, (q15_t)0x4e52, (q15_t)0x4e3e, (q15_t)0x4e2a,
+ (q15_t)0x4e17, (q15_t)0x4e03, (q15_t)0x4def, (q15_t)0x4ddb, (q15_t)0x4dc7, (q15_t)0x4db3, (q15_t)0x4d9f, (q15_t)0x4d8b,
+ (q15_t)0x4d77, (q15_t)0x4d63, (q15_t)0x4d4f, (q15_t)0x4d3b, (q15_t)0x4d27, (q15_t)0x4d13, (q15_t)0x4cff, (q15_t)0x4ceb,
+ (q15_t)0x4cd6, (q15_t)0x4cc2, (q15_t)0x4cae, (q15_t)0x4c9a, (q15_t)0x4c86, (q15_t)0x4c72, (q15_t)0x4c5e, (q15_t)0x4c49,
+ (q15_t)0x4c35, (q15_t)0x4c21, (q15_t)0x4c0d, (q15_t)0x4bf9, (q15_t)0x4be4, (q15_t)0x4bd0, (q15_t)0x4bbc, (q15_t)0x4ba8,
+ (q15_t)0x4b93, (q15_t)0x4b7f, (q15_t)0x4b6b, (q15_t)0x4b56, (q15_t)0x4b42, (q15_t)0x4b2e, (q15_t)0x4b19, (q15_t)0x4b05,
+ (q15_t)0x4af1, (q15_t)0x4adc, (q15_t)0x4ac8, (q15_t)0x4ab4, (q15_t)0x4a9f, (q15_t)0x4a8b, (q15_t)0x4a76, (q15_t)0x4a62,
+ (q15_t)0x4a4d, (q15_t)0x4a39, (q15_t)0x4a24, (q15_t)0x4a10, (q15_t)0x49fb, (q15_t)0x49e7, (q15_t)0x49d2, (q15_t)0x49be,
+ (q15_t)0x49a9, (q15_t)0x4995, (q15_t)0x4980, (q15_t)0x496c, (q15_t)0x4957, (q15_t)0x4942, (q15_t)0x492e, (q15_t)0x4919,
+ (q15_t)0x4905, (q15_t)0x48f0, (q15_t)0x48db, (q15_t)0x48c7, (q15_t)0x48b2, (q15_t)0x489d, (q15_t)0x4888, (q15_t)0x4874,
+ (q15_t)0x485f, (q15_t)0x484a, (q15_t)0x4836, (q15_t)0x4821, (q15_t)0x480c, (q15_t)0x47f7, (q15_t)0x47e2, (q15_t)0x47ce,
+ (q15_t)0x47b9, (q15_t)0x47a4, (q15_t)0x478f, (q15_t)0x477a, (q15_t)0x4765, (q15_t)0x4751, (q15_t)0x473c, (q15_t)0x4727,
+ (q15_t)0x4712, (q15_t)0x46fd, (q15_t)0x46e8, (q15_t)0x46d3, (q15_t)0x46be, (q15_t)0x46a9, (q15_t)0x4694, (q15_t)0x467f,
+ (q15_t)0x466a, (q15_t)0x4655, (q15_t)0x4640, (q15_t)0x462b, (q15_t)0x4616, (q15_t)0x4601, (q15_t)0x45ec, (q15_t)0x45d7,
+ (q15_t)0x45c2, (q15_t)0x45ad, (q15_t)0x4598, (q15_t)0x4583, (q15_t)0x456e, (q15_t)0x4559, (q15_t)0x4544, (q15_t)0x452e,
+ (q15_t)0x4519, (q15_t)0x4504, (q15_t)0x44ef, (q15_t)0x44da, (q15_t)0x44c5, (q15_t)0x44af, (q15_t)0x449a, (q15_t)0x4485,
+ (q15_t)0x4470, (q15_t)0x445a, (q15_t)0x4445, (q15_t)0x4430, (q15_t)0x441b, (q15_t)0x4405, (q15_t)0x43f0, (q15_t)0x43db,
+ (q15_t)0x43c5, (q15_t)0x43b0, (q15_t)0x439b, (q15_t)0x4385, (q15_t)0x4370, (q15_t)0x435b, (q15_t)0x4345, (q15_t)0x4330,
+ (q15_t)0x431b, (q15_t)0x4305, (q15_t)0x42f0, (q15_t)0x42da, (q15_t)0x42c5, (q15_t)0x42af, (q15_t)0x429a, (q15_t)0x4284,
+ (q15_t)0x426f, (q15_t)0x425a, (q15_t)0x4244, (q15_t)0x422f, (q15_t)0x4219, (q15_t)0x4203, (q15_t)0x41ee, (q15_t)0x41d8,
+ (q15_t)0x41c3, (q15_t)0x41ad, (q15_t)0x4198, (q15_t)0x4182, (q15_t)0x416d, (q15_t)0x4157, (q15_t)0x4141, (q15_t)0x412c,
+ (q15_t)0x4116, (q15_t)0x4100, (q15_t)0x40eb, (q15_t)0x40d5, (q15_t)0x40bf, (q15_t)0x40aa, (q15_t)0x4094, (q15_t)0x407e,
+ (q15_t)0x4069, (q15_t)0x4053, (q15_t)0x403d, (q15_t)0x4027, (q15_t)0x4012, (q15_t)0x3ffc, (q15_t)0x3fe6, (q15_t)0x3fd0,
+ (q15_t)0x3fbb, (q15_t)0x3fa5, (q15_t)0x3f8f, (q15_t)0x3f79, (q15_t)0x3f63, (q15_t)0x3f4d, (q15_t)0x3f38, (q15_t)0x3f22,
+ (q15_t)0x3f0c, (q15_t)0x3ef6, (q15_t)0x3ee0, (q15_t)0x3eca, (q15_t)0x3eb4, (q15_t)0x3e9e, (q15_t)0x3e88, (q15_t)0x3e73,
+ (q15_t)0x3e5d, (q15_t)0x3e47, (q15_t)0x3e31, (q15_t)0x3e1b, (q15_t)0x3e05, (q15_t)0x3def, (q15_t)0x3dd9, (q15_t)0x3dc3,
+ (q15_t)0x3dad, (q15_t)0x3d97, (q15_t)0x3d81, (q15_t)0x3d6b, (q15_t)0x3d55, (q15_t)0x3d3e, (q15_t)0x3d28, (q15_t)0x3d12,
+ (q15_t)0x3cfc, (q15_t)0x3ce6, (q15_t)0x3cd0, (q15_t)0x3cba, (q15_t)0x3ca4, (q15_t)0x3c8e, (q15_t)0x3c77, (q15_t)0x3c61,
+ (q15_t)0x3c4b, (q15_t)0x3c35, (q15_t)0x3c1f, (q15_t)0x3c09, (q15_t)0x3bf2, (q15_t)0x3bdc, (q15_t)0x3bc6, (q15_t)0x3bb0,
+ (q15_t)0x3b99, (q15_t)0x3b83, (q15_t)0x3b6d, (q15_t)0x3b57, (q15_t)0x3b40, (q15_t)0x3b2a, (q15_t)0x3b14, (q15_t)0x3afe,
+ (q15_t)0x3ae7, (q15_t)0x3ad1, (q15_t)0x3abb, (q15_t)0x3aa4, (q15_t)0x3a8e, (q15_t)0x3a78, (q15_t)0x3a61, (q15_t)0x3a4b,
+ (q15_t)0x3a34, (q15_t)0x3a1e, (q15_t)0x3a08, (q15_t)0x39f1, (q15_t)0x39db, (q15_t)0x39c4, (q15_t)0x39ae, (q15_t)0x3998,
+ (q15_t)0x3981, (q15_t)0x396b, (q15_t)0x3954, (q15_t)0x393e, (q15_t)0x3927, (q15_t)0x3911, (q15_t)0x38fa, (q15_t)0x38e4,
+ (q15_t)0x38cd, (q15_t)0x38b7, (q15_t)0x38a0, (q15_t)0x388a, (q15_t)0x3873, (q15_t)0x385d, (q15_t)0x3846, (q15_t)0x382f,
+ (q15_t)0x3819, (q15_t)0x3802, (q15_t)0x37ec, (q15_t)0x37d5, (q15_t)0x37be, (q15_t)0x37a8, (q15_t)0x3791, (q15_t)0x377a,
+ (q15_t)0x3764, (q15_t)0x374d, (q15_t)0x3736, (q15_t)0x3720, (q15_t)0x3709, (q15_t)0x36f2, (q15_t)0x36dc, (q15_t)0x36c5,
+ (q15_t)0x36ae, (q15_t)0x3698, (q15_t)0x3681, (q15_t)0x366a, (q15_t)0x3653, (q15_t)0x363d, (q15_t)0x3626, (q15_t)0x360f,
+ (q15_t)0x35f8, (q15_t)0x35e1, (q15_t)0x35cb, (q15_t)0x35b4, (q15_t)0x359d, (q15_t)0x3586, (q15_t)0x356f, (q15_t)0x3558,
+ (q15_t)0x3542, (q15_t)0x352b, (q15_t)0x3514, (q15_t)0x34fd, (q15_t)0x34e6, (q15_t)0x34cf, (q15_t)0x34b8, (q15_t)0x34a1,
+ (q15_t)0x348b, (q15_t)0x3474, (q15_t)0x345d, (q15_t)0x3446, (q15_t)0x342f, (q15_t)0x3418, (q15_t)0x3401, (q15_t)0x33ea,
+ (q15_t)0x33d3, (q15_t)0x33bc, (q15_t)0x33a5, (q15_t)0x338e, (q15_t)0x3377, (q15_t)0x3360, (q15_t)0x3349, (q15_t)0x3332,
+ (q15_t)0x331b, (q15_t)0x3304, (q15_t)0x32ed, (q15_t)0x32d6, (q15_t)0x32bf, (q15_t)0x32a8, (q15_t)0x3290, (q15_t)0x3279,
+ (q15_t)0x3262, (q15_t)0x324b, (q15_t)0x3234, (q15_t)0x321d, (q15_t)0x3206, (q15_t)0x31ef, (q15_t)0x31d8, (q15_t)0x31c0,
+ (q15_t)0x31a9, (q15_t)0x3192, (q15_t)0x317b, (q15_t)0x3164, (q15_t)0x314c, (q15_t)0x3135, (q15_t)0x311e, (q15_t)0x3107,
+ (q15_t)0x30f0, (q15_t)0x30d8, (q15_t)0x30c1, (q15_t)0x30aa, (q15_t)0x3093, (q15_t)0x307b, (q15_t)0x3064, (q15_t)0x304d,
+ (q15_t)0x3036, (q15_t)0x301e, (q15_t)0x3007, (q15_t)0x2ff0, (q15_t)0x2fd8, (q15_t)0x2fc1, (q15_t)0x2faa, (q15_t)0x2f92,
+ (q15_t)0x2f7b, (q15_t)0x2f64, (q15_t)0x2f4c, (q15_t)0x2f35, (q15_t)0x2f1e, (q15_t)0x2f06, (q15_t)0x2eef, (q15_t)0x2ed8,
+ (q15_t)0x2ec0, (q15_t)0x2ea9, (q15_t)0x2e91, (q15_t)0x2e7a, (q15_t)0x2e63, (q15_t)0x2e4b, (q15_t)0x2e34, (q15_t)0x2e1c,
+ (q15_t)0x2e05, (q15_t)0x2ded, (q15_t)0x2dd6, (q15_t)0x2dbe, (q15_t)0x2da7, (q15_t)0x2d8f, (q15_t)0x2d78, (q15_t)0x2d60,
+ (q15_t)0x2d49, (q15_t)0x2d31, (q15_t)0x2d1a, (q15_t)0x2d02, (q15_t)0x2ceb, (q15_t)0x2cd3, (q15_t)0x2cbc, (q15_t)0x2ca4,
+ (q15_t)0x2c8d, (q15_t)0x2c75, (q15_t)0x2c5e, (q15_t)0x2c46, (q15_t)0x2c2e, (q15_t)0x2c17, (q15_t)0x2bff, (q15_t)0x2be8,
+ (q15_t)0x2bd0, (q15_t)0x2bb8, (q15_t)0x2ba1, (q15_t)0x2b89, (q15_t)0x2b71, (q15_t)0x2b5a, (q15_t)0x2b42, (q15_t)0x2b2b,
+ (q15_t)0x2b13, (q15_t)0x2afb, (q15_t)0x2ae4, (q15_t)0x2acc, (q15_t)0x2ab4, (q15_t)0x2a9c, (q15_t)0x2a85, (q15_t)0x2a6d,
+ (q15_t)0x2a55, (q15_t)0x2a3e, (q15_t)0x2a26, (q15_t)0x2a0e, (q15_t)0x29f6, (q15_t)0x29df, (q15_t)0x29c7, (q15_t)0x29af,
+ (q15_t)0x2997, (q15_t)0x2980, (q15_t)0x2968, (q15_t)0x2950, (q15_t)0x2938, (q15_t)0x2920, (q15_t)0x2909, (q15_t)0x28f1,
+ (q15_t)0x28d9, (q15_t)0x28c1, (q15_t)0x28a9, (q15_t)0x2892, (q15_t)0x287a, (q15_t)0x2862, (q15_t)0x284a, (q15_t)0x2832,
+ (q15_t)0x281a, (q15_t)0x2802, (q15_t)0x27eb, (q15_t)0x27d3, (q15_t)0x27bb, (q15_t)0x27a3, (q15_t)0x278b, (q15_t)0x2773,
+ (q15_t)0x275b, (q15_t)0x2743, (q15_t)0x272b, (q15_t)0x2713, (q15_t)0x26fb, (q15_t)0x26e4, (q15_t)0x26cc, (q15_t)0x26b4,
+ (q15_t)0x269c, (q15_t)0x2684, (q15_t)0x266c, (q15_t)0x2654, (q15_t)0x263c, (q15_t)0x2624, (q15_t)0x260c, (q15_t)0x25f4,
+ (q15_t)0x25dc, (q15_t)0x25c4, (q15_t)0x25ac, (q15_t)0x2594, (q15_t)0x257c, (q15_t)0x2564, (q15_t)0x254c, (q15_t)0x2534,
+ (q15_t)0x251c, (q15_t)0x2503, (q15_t)0x24eb, (q15_t)0x24d3, (q15_t)0x24bb, (q15_t)0x24a3, (q15_t)0x248b, (q15_t)0x2473,
+ (q15_t)0x245b, (q15_t)0x2443, (q15_t)0x242b, (q15_t)0x2413, (q15_t)0x23fa, (q15_t)0x23e2, (q15_t)0x23ca, (q15_t)0x23b2,
+ (q15_t)0x239a, (q15_t)0x2382, (q15_t)0x236a, (q15_t)0x2352, (q15_t)0x2339, (q15_t)0x2321, (q15_t)0x2309, (q15_t)0x22f1,
+ (q15_t)0x22d9, (q15_t)0x22c0, (q15_t)0x22a8, (q15_t)0x2290, (q15_t)0x2278, (q15_t)0x2260, (q15_t)0x2247, (q15_t)0x222f,
+ (q15_t)0x2217, (q15_t)0x21ff, (q15_t)0x21e7, (q15_t)0x21ce, (q15_t)0x21b6, (q15_t)0x219e, (q15_t)0x2186, (q15_t)0x216d,
+ (q15_t)0x2155, (q15_t)0x213d, (q15_t)0x2125, (q15_t)0x210c, (q15_t)0x20f4, (q15_t)0x20dc, (q15_t)0x20c3, (q15_t)0x20ab,
+ (q15_t)0x2093, (q15_t)0x207a, (q15_t)0x2062, (q15_t)0x204a, (q15_t)0x2032, (q15_t)0x2019, (q15_t)0x2001, (q15_t)0x1fe9,
+ (q15_t)0x1fd0, (q15_t)0x1fb8, (q15_t)0x1f9f, (q15_t)0x1f87, (q15_t)0x1f6f, (q15_t)0x1f56, (q15_t)0x1f3e, (q15_t)0x1f26,
+ (q15_t)0x1f0d, (q15_t)0x1ef5, (q15_t)0x1edd, (q15_t)0x1ec4, (q15_t)0x1eac, (q15_t)0x1e93, (q15_t)0x1e7b, (q15_t)0x1e62,
+ (q15_t)0x1e4a, (q15_t)0x1e32, (q15_t)0x1e19, (q15_t)0x1e01, (q15_t)0x1de8, (q15_t)0x1dd0, (q15_t)0x1db7, (q15_t)0x1d9f,
+ (q15_t)0x1d87, (q15_t)0x1d6e, (q15_t)0x1d56, (q15_t)0x1d3d, (q15_t)0x1d25, (q15_t)0x1d0c, (q15_t)0x1cf4, (q15_t)0x1cdb,
+ (q15_t)0x1cc3, (q15_t)0x1caa, (q15_t)0x1c92, (q15_t)0x1c79, (q15_t)0x1c61, (q15_t)0x1c48, (q15_t)0x1c30, (q15_t)0x1c17,
+ (q15_t)0x1bff, (q15_t)0x1be6, (q15_t)0x1bce, (q15_t)0x1bb5, (q15_t)0x1b9d, (q15_t)0x1b84, (q15_t)0x1b6c, (q15_t)0x1b53,
+ (q15_t)0x1b3a, (q15_t)0x1b22, (q15_t)0x1b09, (q15_t)0x1af1, (q15_t)0x1ad8, (q15_t)0x1ac0, (q15_t)0x1aa7, (q15_t)0x1a8e,
+ (q15_t)0x1a76, (q15_t)0x1a5d, (q15_t)0x1a45, (q15_t)0x1a2c, (q15_t)0x1a13, (q15_t)0x19fb, (q15_t)0x19e2, (q15_t)0x19ca,
+ (q15_t)0x19b1, (q15_t)0x1998, (q15_t)0x1980, (q15_t)0x1967, (q15_t)0x194e, (q15_t)0x1936, (q15_t)0x191d, (q15_t)0x1905,
+ (q15_t)0x18ec, (q15_t)0x18d3, (q15_t)0x18bb, (q15_t)0x18a2, (q15_t)0x1889, (q15_t)0x1871, (q15_t)0x1858, (q15_t)0x183f,
+ (q15_t)0x1827, (q15_t)0x180e, (q15_t)0x17f5, (q15_t)0x17dd, (q15_t)0x17c4, (q15_t)0x17ab, (q15_t)0x1792, (q15_t)0x177a,
+ (q15_t)0x1761, (q15_t)0x1748, (q15_t)0x1730, (q15_t)0x1717, (q15_t)0x16fe, (q15_t)0x16e5, (q15_t)0x16cd, (q15_t)0x16b4,
+ (q15_t)0x169b, (q15_t)0x1682, (q15_t)0x166a, (q15_t)0x1651, (q15_t)0x1638, (q15_t)0x161f, (q15_t)0x1607, (q15_t)0x15ee,
+ (q15_t)0x15d5, (q15_t)0x15bc, (q15_t)0x15a4, (q15_t)0x158b, (q15_t)0x1572, (q15_t)0x1559, (q15_t)0x1541, (q15_t)0x1528,
+ (q15_t)0x150f, (q15_t)0x14f6, (q15_t)0x14dd, (q15_t)0x14c5, (q15_t)0x14ac, (q15_t)0x1493, (q15_t)0x147a, (q15_t)0x1461,
+ (q15_t)0x1449, (q15_t)0x1430, (q15_t)0x1417, (q15_t)0x13fe, (q15_t)0x13e5, (q15_t)0x13cc, (q15_t)0x13b4, (q15_t)0x139b,
+ (q15_t)0x1382, (q15_t)0x1369, (q15_t)0x1350, (q15_t)0x1337, (q15_t)0x131f, (q15_t)0x1306, (q15_t)0x12ed, (q15_t)0x12d4,
+ (q15_t)0x12bb, (q15_t)0x12a2, (q15_t)0x1289, (q15_t)0x1271, (q15_t)0x1258, (q15_t)0x123f, (q15_t)0x1226, (q15_t)0x120d,
+ (q15_t)0x11f4, (q15_t)0x11db, (q15_t)0x11c2, (q15_t)0x11a9, (q15_t)0x1191, (q15_t)0x1178, (q15_t)0x115f, (q15_t)0x1146,
+ (q15_t)0x112d, (q15_t)0x1114, (q15_t)0x10fb, (q15_t)0x10e2, (q15_t)0x10c9, (q15_t)0x10b0, (q15_t)0x1098, (q15_t)0x107f,
+ (q15_t)0x1066, (q15_t)0x104d, (q15_t)0x1034, (q15_t)0x101b, (q15_t)0x1002, (q15_t)0xfe9, (q15_t)0xfd0, (q15_t)0xfb7,
+ (q15_t)0xf9e, (q15_t)0xf85, (q15_t)0xf6c, (q15_t)0xf53, (q15_t)0xf3a, (q15_t)0xf21, (q15_t)0xf08, (q15_t)0xef0,
+ (q15_t)0xed7, (q15_t)0xebe, (q15_t)0xea5, (q15_t)0xe8c, (q15_t)0xe73, (q15_t)0xe5a, (q15_t)0xe41, (q15_t)0xe28,
+ (q15_t)0xe0f, (q15_t)0xdf6, (q15_t)0xddd, (q15_t)0xdc4, (q15_t)0xdab, (q15_t)0xd92, (q15_t)0xd79, (q15_t)0xd60,
+ (q15_t)0xd47, (q15_t)0xd2e, (q15_t)0xd15, (q15_t)0xcfc, (q15_t)0xce3, (q15_t)0xcca, (q15_t)0xcb1, (q15_t)0xc98,
+ (q15_t)0xc7f, (q15_t)0xc66, (q15_t)0xc4d, (q15_t)0xc34, (q15_t)0xc1b, (q15_t)0xc02, (q15_t)0xbe9, (q15_t)0xbd0,
+ (q15_t)0xbb7, (q15_t)0xb9e, (q15_t)0xb85, (q15_t)0xb6c, (q15_t)0xb53, (q15_t)0xb3a, (q15_t)0xb20, (q15_t)0xb07,
+ (q15_t)0xaee, (q15_t)0xad5, (q15_t)0xabc, (q15_t)0xaa3, (q15_t)0xa8a, (q15_t)0xa71, (q15_t)0xa58, (q15_t)0xa3f,
+ (q15_t)0xa26, (q15_t)0xa0d, (q15_t)0x9f4, (q15_t)0x9db, (q15_t)0x9c2, (q15_t)0x9a9, (q15_t)0x990, (q15_t)0x977,
+ (q15_t)0x95e, (q15_t)0x944, (q15_t)0x92b, (q15_t)0x912, (q15_t)0x8f9, (q15_t)0x8e0, (q15_t)0x8c7, (q15_t)0x8ae,
+ (q15_t)0x895, (q15_t)0x87c, (q15_t)0x863, (q15_t)0x84a, (q15_t)0x831, (q15_t)0x818, (q15_t)0x7fe, (q15_t)0x7e5,
+ (q15_t)0x7cc, (q15_t)0x7b3, (q15_t)0x79a, (q15_t)0x781, (q15_t)0x768, (q15_t)0x74f, (q15_t)0x736, (q15_t)0x71d,
+ (q15_t)0x704, (q15_t)0x6ea, (q15_t)0x6d1, (q15_t)0x6b8, (q15_t)0x69f, (q15_t)0x686, (q15_t)0x66d, (q15_t)0x654,
+ (q15_t)0x63b, (q15_t)0x622, (q15_t)0x609, (q15_t)0x5ef, (q15_t)0x5d6, (q15_t)0x5bd, (q15_t)0x5a4, (q15_t)0x58b,
+ (q15_t)0x572, (q15_t)0x559, (q15_t)0x540, (q15_t)0x527, (q15_t)0x50d, (q15_t)0x4f4, (q15_t)0x4db, (q15_t)0x4c2,
+ (q15_t)0x4a9, (q15_t)0x490, (q15_t)0x477, (q15_t)0x45e, (q15_t)0x445, (q15_t)0x42b, (q15_t)0x412, (q15_t)0x3f9,
+ (q15_t)0x3e0, (q15_t)0x3c7, (q15_t)0x3ae, (q15_t)0x395, (q15_t)0x37c, (q15_t)0x362, (q15_t)0x349, (q15_t)0x330,
+ (q15_t)0x317, (q15_t)0x2fe, (q15_t)0x2e5, (q15_t)0x2cc, (q15_t)0x2b3, (q15_t)0x299, (q15_t)0x280, (q15_t)0x267,
+ (q15_t)0x24e, (q15_t)0x235, (q15_t)0x21c, (q15_t)0x203, (q15_t)0x1ea, (q15_t)0x1d0, (q15_t)0x1b7, (q15_t)0x19e,
+ (q15_t)0x185, (q15_t)0x16c, (q15_t)0x153, (q15_t)0x13a, (q15_t)0x121, (q15_t)0x107, (q15_t)0xee, (q15_t)0xd5,
+ (q15_t)0xbc, (q15_t)0xa3, (q15_t)0x8a, (q15_t)0x71, (q15_t)0x57, (q15_t)0x3e, (q15_t)0x25, (q15_t)0xc
+
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+ const q15_t __ALIGNED(4) WeightsQ15_8192[16384] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfffa, (q15_t)0x7fff, (q15_t)0xfff4, (q15_t)0x7fff, (q15_t)0xffee,
+ (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffe1, (q15_t)0x7fff, (q15_t)0xffdb, (q15_t)0x7fff, (q15_t)0xffd5,
+ (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc8, (q15_t)0x7fff, (q15_t)0xffc2, (q15_t)0x7fff, (q15_t)0xffbb,
+ (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffaf, (q15_t)0x7fff, (q15_t)0xffa9, (q15_t)0x7fff, (q15_t)0xffa2,
+ (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff96, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff89,
+ (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff7d, (q15_t)0x7fff, (q15_t)0xff76, (q15_t)0x7fff, (q15_t)0xff70,
+ (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff63, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff57,
+ (q15_t)0x7fff, (q15_t)0xff51, (q15_t)0x7fff, (q15_t)0xff4a, (q15_t)0x7fff, (q15_t)0xff44, (q15_t)0x7fff, (q15_t)0xff3e,
+ (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff31, (q15_t)0x7fff, (q15_t)0xff2b, (q15_t)0x7fff, (q15_t)0xff25,
+ (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff18, (q15_t)0x7fff, (q15_t)0xff12, (q15_t)0x7fff, (q15_t)0xff0b,
+ (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeff, (q15_t)0x7ffe, (q15_t)0xfef9, (q15_t)0x7ffe, (q15_t)0xfef2,
+ (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffe, (q15_t)0xfee6, (q15_t)0x7ffe, (q15_t)0xfedf, (q15_t)0x7ffe, (q15_t)0xfed9,
+ (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfecd, (q15_t)0x7ffe, (q15_t)0xfec6, (q15_t)0x7ffe, (q15_t)0xfec0,
+ (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfeb3, (q15_t)0x7ffe, (q15_t)0xfead, (q15_t)0x7ffe, (q15_t)0xfea7,
+ (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffe, (q15_t)0xfe9a, (q15_t)0x7ffd, (q15_t)0xfe94, (q15_t)0x7ffd, (q15_t)0xfe8e,
+ (q15_t)0x7ffd, (q15_t)0xfe88, (q15_t)0x7ffd, (q15_t)0xfe81, (q15_t)0x7ffd, (q15_t)0xfe7b, (q15_t)0x7ffd, (q15_t)0xfe75,
+ (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe68, (q15_t)0x7ffd, (q15_t)0xfe62, (q15_t)0x7ffd, (q15_t)0xfe5c,
+ (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffd, (q15_t)0xfe4f, (q15_t)0x7ffd, (q15_t)0xfe49, (q15_t)0x7ffc, (q15_t)0xfe42,
+ (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe36, (q15_t)0x7ffc, (q15_t)0xfe30, (q15_t)0x7ffc, (q15_t)0xfe29,
+ (q15_t)0x7ffc, (q15_t)0xfe23, (q15_t)0x7ffc, (q15_t)0xfe1d, (q15_t)0x7ffc, (q15_t)0xfe16, (q15_t)0x7ffc, (q15_t)0xfe10,
+ (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffc, (q15_t)0xfe04, (q15_t)0x7ffb, (q15_t)0xfdfd, (q15_t)0x7ffb, (q15_t)0xfdf7,
+ (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdea, (q15_t)0x7ffb, (q15_t)0xfde4, (q15_t)0x7ffb, (q15_t)0xfdde,
+ (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffb, (q15_t)0xfdd1, (q15_t)0x7ffb, (q15_t)0xfdcb, (q15_t)0x7ffb, (q15_t)0xfdc5,
+ (q15_t)0x7ffa, (q15_t)0xfdbe, (q15_t)0x7ffa, (q15_t)0xfdb8, (q15_t)0x7ffa, (q15_t)0xfdb2, (q15_t)0x7ffa, (q15_t)0xfdac,
+ (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ffa, (q15_t)0xfd9f, (q15_t)0x7ffa, (q15_t)0xfd99, (q15_t)0x7ffa, (q15_t)0xfd93,
+ (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd86, (q15_t)0x7ff9, (q15_t)0xfd80, (q15_t)0x7ff9, (q15_t)0xfd79,
+ (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff9, (q15_t)0xfd6d, (q15_t)0x7ff9, (q15_t)0xfd67, (q15_t)0x7ff9, (q15_t)0xfd60,
+ (q15_t)0x7ff8, (q15_t)0xfd5a, (q15_t)0x7ff8, (q15_t)0xfd54, (q15_t)0x7ff8, (q15_t)0xfd4d, (q15_t)0x7ff8, (q15_t)0xfd47,
+ (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff8, (q15_t)0xfd3b, (q15_t)0x7ff8, (q15_t)0xfd34, (q15_t)0x7ff8, (q15_t)0xfd2e,
+ (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd21, (q15_t)0x7ff7, (q15_t)0xfd1b, (q15_t)0x7ff7, (q15_t)0xfd15,
+ (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff7, (q15_t)0xfd08, (q15_t)0x7ff7, (q15_t)0xfd02, (q15_t)0x7ff6, (q15_t)0xfcfc,
+ (q15_t)0x7ff6, (q15_t)0xfcf5, (q15_t)0x7ff6, (q15_t)0xfcef, (q15_t)0x7ff6, (q15_t)0xfce9, (q15_t)0x7ff6, (q15_t)0xfce3,
+ (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcd6, (q15_t)0x7ff5, (q15_t)0xfcd0, (q15_t)0x7ff5, (q15_t)0xfcc9,
+ (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff5, (q15_t)0xfcbd, (q15_t)0x7ff5, (q15_t)0xfcb7, (q15_t)0x7ff5, (q15_t)0xfcb0,
+ (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfca4, (q15_t)0x7ff4, (q15_t)0xfc9e, (q15_t)0x7ff4, (q15_t)0xfc97,
+ (q15_t)0x7ff4, (q15_t)0xfc91, (q15_t)0x7ff4, (q15_t)0xfc8b, (q15_t)0x7ff3, (q15_t)0xfc84, (q15_t)0x7ff3, (q15_t)0xfc7e,
+ (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff3, (q15_t)0xfc72, (q15_t)0x7ff3, (q15_t)0xfc6b, (q15_t)0x7ff2, (q15_t)0xfc65,
+ (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc58, (q15_t)0x7ff2, (q15_t)0xfc52, (q15_t)0x7ff2, (q15_t)0xfc4c,
+ (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc3f, (q15_t)0x7ff1, (q15_t)0xfc39, (q15_t)0x7ff1, (q15_t)0xfc33,
+ (q15_t)0x7ff1, (q15_t)0xfc2c, (q15_t)0x7ff1, (q15_t)0xfc26, (q15_t)0x7ff0, (q15_t)0xfc20, (q15_t)0x7ff0, (q15_t)0xfc1a,
+ (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7ff0, (q15_t)0xfc0d, (q15_t)0x7ff0, (q15_t)0xfc07, (q15_t)0x7fef, (q15_t)0xfc01,
+ (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fef, (q15_t)0xfbf4, (q15_t)0x7fef, (q15_t)0xfbee, (q15_t)0x7fef, (q15_t)0xfbe7,
+ (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbdb, (q15_t)0x7fee, (q15_t)0xfbd5, (q15_t)0x7fee, (q15_t)0xfbce,
+ (q15_t)0x7fee, (q15_t)0xfbc8, (q15_t)0x7fed, (q15_t)0xfbc2, (q15_t)0x7fed, (q15_t)0xfbbb, (q15_t)0x7fed, (q15_t)0xfbb5,
+ (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fed, (q15_t)0xfba9, (q15_t)0x7fec, (q15_t)0xfba2, (q15_t)0x7fec, (q15_t)0xfb9c,
+ (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7fec, (q15_t)0xfb8f, (q15_t)0x7fec, (q15_t)0xfb89, (q15_t)0x7feb, (q15_t)0xfb83,
+ (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7feb, (q15_t)0xfb76, (q15_t)0x7feb, (q15_t)0xfb70, (q15_t)0x7fea, (q15_t)0xfb6a,
+ (q15_t)0x7fea, (q15_t)0xfb64, (q15_t)0x7fea, (q15_t)0xfb5d, (q15_t)0x7fea, (q15_t)0xfb57, (q15_t)0x7fea, (q15_t)0xfb51,
+ (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe9, (q15_t)0xfb44, (q15_t)0x7fe9, (q15_t)0xfb3e, (q15_t)0x7fe9, (q15_t)0xfb38,
+ (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe8, (q15_t)0xfb2b, (q15_t)0x7fe8, (q15_t)0xfb25, (q15_t)0x7fe8, (q15_t)0xfb1e,
+ (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe7, (q15_t)0xfb12, (q15_t)0x7fe7, (q15_t)0xfb0c, (q15_t)0x7fe7, (q15_t)0xfb05,
+ (q15_t)0x7fe6, (q15_t)0xfaff, (q15_t)0x7fe6, (q15_t)0xfaf9, (q15_t)0x7fe6, (q15_t)0xfaf3, (q15_t)0x7fe6, (q15_t)0xfaec,
+ (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe5, (q15_t)0xfae0, (q15_t)0x7fe5, (q15_t)0xfad9, (q15_t)0x7fe5, (q15_t)0xfad3,
+ (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe4, (q15_t)0xfac7, (q15_t)0x7fe4, (q15_t)0xfac0, (q15_t)0x7fe4, (q15_t)0xfaba,
+ (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe3, (q15_t)0xfaad, (q15_t)0x7fe3, (q15_t)0xfaa7, (q15_t)0x7fe3, (q15_t)0xfaa1,
+ (q15_t)0x7fe2, (q15_t)0xfa9b, (q15_t)0x7fe2, (q15_t)0xfa94, (q15_t)0x7fe2, (q15_t)0xfa8e, (q15_t)0x7fe2, (q15_t)0xfa88,
+ (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe1, (q15_t)0xfa7b, (q15_t)0x7fe1, (q15_t)0xfa75, (q15_t)0x7fe0, (q15_t)0xfa6f,
+ (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fe0, (q15_t)0xfa62, (q15_t)0x7fe0, (q15_t)0xfa5c, (q15_t)0x7fdf, (q15_t)0xfa56,
+ (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fdf, (q15_t)0xfa49, (q15_t)0x7fdf, (q15_t)0xfa43, (q15_t)0x7fde, (q15_t)0xfa3c,
+ (q15_t)0x7fde, (q15_t)0xfa36, (q15_t)0x7fde, (q15_t)0xfa30, (q15_t)0x7fdd, (q15_t)0xfa2a, (q15_t)0x7fdd, (q15_t)0xfa23,
+ (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdd, (q15_t)0xfa17, (q15_t)0x7fdc, (q15_t)0xfa11, (q15_t)0x7fdc, (q15_t)0xfa0a,
+ (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fdb, (q15_t)0xf9fe, (q15_t)0x7fdb, (q15_t)0xf9f7, (q15_t)0x7fdb, (q15_t)0xf9f1,
+ (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fda, (q15_t)0xf9e5, (q15_t)0x7fda, (q15_t)0xf9de, (q15_t)0x7fda, (q15_t)0xf9d8,
+ (q15_t)0x7fd9, (q15_t)0xf9d2, (q15_t)0x7fd9, (q15_t)0xf9cb, (q15_t)0x7fd9, (q15_t)0xf9c5, (q15_t)0x7fd8, (q15_t)0xf9bf,
+ (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd8, (q15_t)0xf9b2, (q15_t)0x7fd7, (q15_t)0xf9ac, (q15_t)0x7fd7, (q15_t)0xf9a6,
+ (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf999, (q15_t)0x7fd6, (q15_t)0xf993, (q15_t)0x7fd6, (q15_t)0xf98d,
+ (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd5, (q15_t)0xf980, (q15_t)0x7fd5, (q15_t)0xf97a, (q15_t)0x7fd5, (q15_t)0xf974,
+ (q15_t)0x7fd4, (q15_t)0xf96d, (q15_t)0x7fd4, (q15_t)0xf967, (q15_t)0x7fd4, (q15_t)0xf961, (q15_t)0x7fd3, (q15_t)0xf95b,
+ (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd3, (q15_t)0xf94e, (q15_t)0x7fd2, (q15_t)0xf948, (q15_t)0x7fd2, (q15_t)0xf941,
+ (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd1, (q15_t)0xf935, (q15_t)0x7fd1, (q15_t)0xf92f, (q15_t)0x7fd1, (q15_t)0xf928,
+ (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fd0, (q15_t)0xf91c, (q15_t)0x7fd0, (q15_t)0xf916, (q15_t)0x7fcf, (q15_t)0xf90f,
+ (q15_t)0x7fcf, (q15_t)0xf909, (q15_t)0x7fcf, (q15_t)0xf903, (q15_t)0x7fce, (q15_t)0xf8fc, (q15_t)0x7fce, (q15_t)0xf8f6,
+ (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcd, (q15_t)0xf8ea, (q15_t)0x7fcd, (q15_t)0xf8e3, (q15_t)0x7fcd, (q15_t)0xf8dd,
+ (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcc, (q15_t)0xf8d0, (q15_t)0x7fcb, (q15_t)0xf8ca, (q15_t)0x7fcb, (q15_t)0xf8c4,
+ (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fca, (q15_t)0xf8b7, (q15_t)0x7fca, (q15_t)0xf8b1, (q15_t)0x7fca, (q15_t)0xf8ab,
+ (q15_t)0x7fc9, (q15_t)0xf8a5, (q15_t)0x7fc9, (q15_t)0xf89e, (q15_t)0x7fc9, (q15_t)0xf898, (q15_t)0x7fc8, (q15_t)0xf892,
+ (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc7, (q15_t)0xf885, (q15_t)0x7fc7, (q15_t)0xf87f, (q15_t)0x7fc7, (q15_t)0xf879,
+ (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc6, (q15_t)0xf86c, (q15_t)0x7fc6, (q15_t)0xf866, (q15_t)0x7fc5, (q15_t)0xf860,
+ (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc5, (q15_t)0xf853, (q15_t)0x7fc4, (q15_t)0xf84d, (q15_t)0x7fc4, (q15_t)0xf846,
+ (q15_t)0x7fc3, (q15_t)0xf840, (q15_t)0x7fc3, (q15_t)0xf83a, (q15_t)0x7fc3, (q15_t)0xf834, (q15_t)0x7fc2, (q15_t)0xf82d,
+ (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc1, (q15_t)0xf821, (q15_t)0x7fc1, (q15_t)0xf81b, (q15_t)0x7fc1, (q15_t)0xf814,
+ (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fc0, (q15_t)0xf808, (q15_t)0x7fc0, (q15_t)0xf802, (q15_t)0x7fbf, (q15_t)0xf7fb,
+ (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbe, (q15_t)0xf7ef, (q15_t)0x7fbe, (q15_t)0xf7e8, (q15_t)0x7fbe, (q15_t)0xf7e2,
+ (q15_t)0x7fbd, (q15_t)0xf7dc, (q15_t)0x7fbd, (q15_t)0xf7d6, (q15_t)0x7fbc, (q15_t)0xf7cf, (q15_t)0x7fbc, (q15_t)0xf7c9,
+ (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fbb, (q15_t)0xf7bd, (q15_t)0x7fbb, (q15_t)0xf7b6, (q15_t)0x7fba, (q15_t)0xf7b0,
+ (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb9, (q15_t)0xf7a3, (q15_t)0x7fb9, (q15_t)0xf79d, (q15_t)0x7fb9, (q15_t)0xf797,
+ (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb8, (q15_t)0xf78a, (q15_t)0x7fb7, (q15_t)0xf784, (q15_t)0x7fb7, (q15_t)0xf77e,
+ (q15_t)0x7fb7, (q15_t)0xf778, (q15_t)0x7fb6, (q15_t)0xf771, (q15_t)0x7fb6, (q15_t)0xf76b, (q15_t)0x7fb5, (q15_t)0xf765,
+ (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb4, (q15_t)0xf758, (q15_t)0x7fb4, (q15_t)0xf752, (q15_t)0x7fb4, (q15_t)0xf74c,
+ (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb3, (q15_t)0xf73f, (q15_t)0x7fb2, (q15_t)0xf739, (q15_t)0x7fb2, (q15_t)0xf733,
+ (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb1, (q15_t)0xf726, (q15_t)0x7fb1, (q15_t)0xf720, (q15_t)0x7fb0, (q15_t)0xf71a,
+ (q15_t)0x7fb0, (q15_t)0xf713, (q15_t)0x7faf, (q15_t)0xf70d, (q15_t)0x7faf, (q15_t)0xf707, (q15_t)0x7fae, (q15_t)0xf700,
+ (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fae, (q15_t)0xf6f4, (q15_t)0x7fad, (q15_t)0xf6ee, (q15_t)0x7fad, (q15_t)0xf6e7,
+ (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7fac, (q15_t)0xf6db, (q15_t)0x7fab, (q15_t)0xf6d5, (q15_t)0x7fab, (q15_t)0xf6ce,
+ (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7faa, (q15_t)0xf6c2, (q15_t)0x7fa9, (q15_t)0xf6bc, (q15_t)0x7fa9, (q15_t)0xf6b5,
+ (q15_t)0x7fa9, (q15_t)0xf6af, (q15_t)0x7fa8, (q15_t)0xf6a9, (q15_t)0x7fa8, (q15_t)0xf6a2, (q15_t)0x7fa7, (q15_t)0xf69c,
+ (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa6, (q15_t)0xf690, (q15_t)0x7fa6, (q15_t)0xf689, (q15_t)0x7fa5, (q15_t)0xf683,
+ (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa4, (q15_t)0xf677, (q15_t)0x7fa4, (q15_t)0xf670, (q15_t)0x7fa3, (q15_t)0xf66a,
+ (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa3, (q15_t)0xf65e, (q15_t)0x7fa2, (q15_t)0xf657, (q15_t)0x7fa2, (q15_t)0xf651,
+ (q15_t)0x7fa1, (q15_t)0xf64b, (q15_t)0x7fa1, (q15_t)0xf644, (q15_t)0x7fa0, (q15_t)0xf63e, (q15_t)0x7fa0, (q15_t)0xf638,
+ (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9f, (q15_t)0xf62b, (q15_t)0x7f9e, (q15_t)0xf625, (q15_t)0x7f9e, (q15_t)0xf61f,
+ (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9d, (q15_t)0xf612, (q15_t)0x7f9c, (q15_t)0xf60c, (q15_t)0x7f9c, (q15_t)0xf606,
+ (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f9b, (q15_t)0xf5f9, (q15_t)0x7f9a, (q15_t)0xf5f3, (q15_t)0x7f9a, (q15_t)0xf5ed,
+ (q15_t)0x7f99, (q15_t)0xf5e7, (q15_t)0x7f99, (q15_t)0xf5e0, (q15_t)0x7f98, (q15_t)0xf5da, (q15_t)0x7f98, (q15_t)0xf5d4,
+ (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f97, (q15_t)0xf5c7, (q15_t)0x7f96, (q15_t)0xf5c1, (q15_t)0x7f96, (q15_t)0xf5bb,
+ (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f95, (q15_t)0xf5ae, (q15_t)0x7f94, (q15_t)0xf5a8, (q15_t)0x7f94, (q15_t)0xf5a2,
+ (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f93, (q15_t)0xf595, (q15_t)0x7f92, (q15_t)0xf58f, (q15_t)0x7f92, (q15_t)0xf589,
+ (q15_t)0x7f91, (q15_t)0xf582, (q15_t)0x7f91, (q15_t)0xf57c, (q15_t)0x7f90, (q15_t)0xf576, (q15_t)0x7f90, (q15_t)0xf570,
+ (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8f, (q15_t)0xf563, (q15_t)0x7f8e, (q15_t)0xf55d, (q15_t)0x7f8e, (q15_t)0xf556,
+ (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8d, (q15_t)0xf54a, (q15_t)0x7f8c, (q15_t)0xf544, (q15_t)0x7f8b, (q15_t)0xf53d,
+ (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f8a, (q15_t)0xf531, (q15_t)0x7f8a, (q15_t)0xf52b, (q15_t)0x7f89, (q15_t)0xf524,
+ (q15_t)0x7f89, (q15_t)0xf51e, (q15_t)0x7f88, (q15_t)0xf518, (q15_t)0x7f88, (q15_t)0xf512, (q15_t)0x7f87, (q15_t)0xf50b,
+ (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f86, (q15_t)0xf4ff, (q15_t)0x7f86, (q15_t)0xf4f9, (q15_t)0x7f85, (q15_t)0xf4f2,
+ (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f84, (q15_t)0xf4e6, (q15_t)0x7f83, (q15_t)0xf4e0, (q15_t)0x7f83, (q15_t)0xf4d9,
+ (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f82, (q15_t)0xf4cd, (q15_t)0x7f81, (q15_t)0xf4c6, (q15_t)0x7f81, (q15_t)0xf4c0,
+ (q15_t)0x7f80, (q15_t)0xf4ba, (q15_t)0x7f80, (q15_t)0xf4b4, (q15_t)0x7f7f, (q15_t)0xf4ad, (q15_t)0x7f7e, (q15_t)0xf4a7,
+ (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7d, (q15_t)0xf49b, (q15_t)0x7f7d, (q15_t)0xf494, (q15_t)0x7f7c, (q15_t)0xf48e,
+ (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f7b, (q15_t)0xf482, (q15_t)0x7f7b, (q15_t)0xf47b, (q15_t)0x7f7a, (q15_t)0xf475,
+ (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f79, (q15_t)0xf469, (q15_t)0x7f78, (q15_t)0xf462, (q15_t)0x7f78, (q15_t)0xf45c,
+ (q15_t)0x7f77, (q15_t)0xf456, (q15_t)0x7f77, (q15_t)0xf450, (q15_t)0x7f76, (q15_t)0xf449, (q15_t)0x7f75, (q15_t)0xf443,
+ (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f74, (q15_t)0xf437, (q15_t)0x7f74, (q15_t)0xf430, (q15_t)0x7f73, (q15_t)0xf42a,
+ (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f72, (q15_t)0xf41e, (q15_t)0x7f71, (q15_t)0xf417, (q15_t)0x7f71, (q15_t)0xf411,
+ (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f70, (q15_t)0xf405, (q15_t)0x7f6f, (q15_t)0xf3fe, (q15_t)0x7f6e, (q15_t)0xf3f8,
+ (q15_t)0x7f6e, (q15_t)0xf3f2, (q15_t)0x7f6d, (q15_t)0xf3ec, (q15_t)0x7f6d, (q15_t)0xf3e5, (q15_t)0x7f6c, (q15_t)0xf3df,
+ (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f6b, (q15_t)0xf3d2, (q15_t)0x7f6a, (q15_t)0xf3cc, (q15_t)0x7f6a, (q15_t)0xf3c6,
+ (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f68, (q15_t)0xf3b9, (q15_t)0x7f68, (q15_t)0xf3b3, (q15_t)0x7f67, (q15_t)0xf3ad,
+ (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f66, (q15_t)0xf3a0, (q15_t)0x7f65, (q15_t)0xf39a, (q15_t)0x7f65, (q15_t)0xf394,
+ (q15_t)0x7f64, (q15_t)0xf38e, (q15_t)0x7f64, (q15_t)0xf387, (q15_t)0x7f63, (q15_t)0xf381, (q15_t)0x7f62, (q15_t)0xf37b,
+ (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f61, (q15_t)0xf36e, (q15_t)0x7f60, (q15_t)0xf368, (q15_t)0x7f60, (q15_t)0xf362,
+ (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5f, (q15_t)0xf355, (q15_t)0x7f5e, (q15_t)0xf34f, (q15_t)0x7f5d, (q15_t)0xf349,
+ (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5c, (q15_t)0xf33c, (q15_t)0x7f5b, (q15_t)0xf336, (q15_t)0x7f5b, (q15_t)0xf330,
+ (q15_t)0x7f5a, (q15_t)0xf32a, (q15_t)0x7f5a, (q15_t)0xf323, (q15_t)0x7f59, (q15_t)0xf31d, (q15_t)0x7f58, (q15_t)0xf317,
+ (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f57, (q15_t)0xf30a, (q15_t)0x7f56, (q15_t)0xf304, (q15_t)0x7f56, (q15_t)0xf2fe,
+ (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f55, (q15_t)0xf2f1, (q15_t)0x7f54, (q15_t)0xf2eb, (q15_t)0x7f53, (q15_t)0xf2e5,
+ (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f52, (q15_t)0xf2d8, (q15_t)0x7f51, (q15_t)0xf2d2, (q15_t)0x7f51, (q15_t)0xf2cc,
+ (q15_t)0x7f50, (q15_t)0xf2c6, (q15_t)0x7f4f, (q15_t)0xf2bf, (q15_t)0x7f4f, (q15_t)0xf2b9, (q15_t)0x7f4e, (q15_t)0xf2b3,
+ (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4d, (q15_t)0xf2a6, (q15_t)0x7f4c, (q15_t)0xf2a0, (q15_t)0x7f4b, (q15_t)0xf29a,
+ (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f4a, (q15_t)0xf28d, (q15_t)0x7f49, (q15_t)0xf287, (q15_t)0x7f49, (q15_t)0xf281,
+ (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f47, (q15_t)0xf274, (q15_t)0x7f47, (q15_t)0xf26e, (q15_t)0x7f46, (q15_t)0xf268,
+ (q15_t)0x7f45, (q15_t)0xf262, (q15_t)0x7f45, (q15_t)0xf25b, (q15_t)0x7f44, (q15_t)0xf255, (q15_t)0x7f43, (q15_t)0xf24f,
+ (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f42, (q15_t)0xf242, (q15_t)0x7f41, (q15_t)0xf23c, (q15_t)0x7f41, (q15_t)0xf236,
+ (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3f, (q15_t)0xf229, (q15_t)0x7f3f, (q15_t)0xf223, (q15_t)0x7f3e, (q15_t)0xf21d,
+ (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3d, (q15_t)0xf210, (q15_t)0x7f3c, (q15_t)0xf20a, (q15_t)0x7f3b, (q15_t)0xf204,
+ (q15_t)0x7f3b, (q15_t)0xf1fe, (q15_t)0x7f3a, (q15_t)0xf1f7, (q15_t)0x7f39, (q15_t)0xf1f1, (q15_t)0x7f39, (q15_t)0xf1eb,
+ (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f37, (q15_t)0xf1de, (q15_t)0x7f36, (q15_t)0xf1d8, (q15_t)0x7f36, (q15_t)0xf1d2,
+ (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f34, (q15_t)0xf1c6, (q15_t)0x7f34, (q15_t)0xf1bf, (q15_t)0x7f33, (q15_t)0xf1b9,
+ (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f32, (q15_t)0xf1ad, (q15_t)0x7f31, (q15_t)0xf1a6, (q15_t)0x7f30, (q15_t)0xf1a0,
+ (q15_t)0x7f2f, (q15_t)0xf19a, (q15_t)0x7f2f, (q15_t)0xf194, (q15_t)0x7f2e, (q15_t)0xf18d, (q15_t)0x7f2d, (q15_t)0xf187,
+ (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2c, (q15_t)0xf17b, (q15_t)0x7f2b, (q15_t)0xf174, (q15_t)0x7f2a, (q15_t)0xf16e,
+ (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f29, (q15_t)0xf162, (q15_t)0x7f28, (q15_t)0xf15b, (q15_t)0x7f28, (q15_t)0xf155,
+ (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f26, (q15_t)0xf149, (q15_t)0x7f25, (q15_t)0xf142, (q15_t)0x7f25, (q15_t)0xf13c,
+ (q15_t)0x7f24, (q15_t)0xf136, (q15_t)0x7f23, (q15_t)0xf130, (q15_t)0x7f23, (q15_t)0xf129, (q15_t)0x7f22, (q15_t)0xf123,
+ (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f20, (q15_t)0xf117, (q15_t)0x7f20, (q15_t)0xf110, (q15_t)0x7f1f, (q15_t)0xf10a,
+ (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1d, (q15_t)0xf0fe, (q15_t)0x7f1d, (q15_t)0xf0f8, (q15_t)0x7f1c, (q15_t)0xf0f1,
+ (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f1a, (q15_t)0xf0e5, (q15_t)0x7f1a, (q15_t)0xf0df, (q15_t)0x7f19, (q15_t)0xf0d8,
+ (q15_t)0x7f18, (q15_t)0xf0d2, (q15_t)0x7f17, (q15_t)0xf0cc, (q15_t)0x7f17, (q15_t)0xf0c6, (q15_t)0x7f16, (q15_t)0xf0bf,
+ (q15_t)0x7f15, (q15_t)0xf0b9, (q15_t)0x7f14, (q15_t)0xf0b3, (q15_t)0x7f14, (q15_t)0xf0ad, (q15_t)0x7f13, (q15_t)0xf0a6,
+ (q15_t)0x7f12, (q15_t)0xf0a0, (q15_t)0x7f11, (q15_t)0xf09a, (q15_t)0x7f11, (q15_t)0xf094, (q15_t)0x7f10, (q15_t)0xf08d,
+ (q15_t)0x7f0f, (q15_t)0xf087, (q15_t)0x7f0e, (q15_t)0xf081, (q15_t)0x7f0e, (q15_t)0xf07b, (q15_t)0x7f0d, (q15_t)0xf075,
+ (q15_t)0x7f0c, (q15_t)0xf06e, (q15_t)0x7f0b, (q15_t)0xf068, (q15_t)0x7f0b, (q15_t)0xf062, (q15_t)0x7f0a, (q15_t)0xf05c,
+ (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7f08, (q15_t)0xf04f, (q15_t)0x7f08, (q15_t)0xf049, (q15_t)0x7f07, (q15_t)0xf043,
+ (q15_t)0x7f06, (q15_t)0xf03c, (q15_t)0x7f05, (q15_t)0xf036, (q15_t)0x7f04, (q15_t)0xf030, (q15_t)0x7f04, (q15_t)0xf02a,
+ (q15_t)0x7f03, (q15_t)0xf023, (q15_t)0x7f02, (q15_t)0xf01d, (q15_t)0x7f01, (q15_t)0xf017, (q15_t)0x7f01, (q15_t)0xf011,
+ (q15_t)0x7f00, (q15_t)0xf00b, (q15_t)0x7eff, (q15_t)0xf004, (q15_t)0x7efe, (q15_t)0xeffe, (q15_t)0x7efd, (q15_t)0xeff8,
+ (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7efc, (q15_t)0xefeb, (q15_t)0x7efb, (q15_t)0xefe5, (q15_t)0x7efa, (q15_t)0xefdf,
+ (q15_t)0x7ef9, (q15_t)0xefd9, (q15_t)0x7ef9, (q15_t)0xefd2, (q15_t)0x7ef8, (q15_t)0xefcc, (q15_t)0x7ef7, (q15_t)0xefc6,
+ (q15_t)0x7ef6, (q15_t)0xefc0, (q15_t)0x7ef5, (q15_t)0xefb9, (q15_t)0x7ef5, (q15_t)0xefb3, (q15_t)0x7ef4, (q15_t)0xefad,
+ (q15_t)0x7ef3, (q15_t)0xefa7, (q15_t)0x7ef2, (q15_t)0xefa1, (q15_t)0x7ef1, (q15_t)0xef9a, (q15_t)0x7ef1, (q15_t)0xef94,
+ (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7eef, (q15_t)0xef88, (q15_t)0x7eee, (q15_t)0xef81, (q15_t)0x7eed, (q15_t)0xef7b,
+ (q15_t)0x7eed, (q15_t)0xef75, (q15_t)0x7eec, (q15_t)0xef6f, (q15_t)0x7eeb, (q15_t)0xef68, (q15_t)0x7eea, (q15_t)0xef62,
+ (q15_t)0x7ee9, (q15_t)0xef5c, (q15_t)0x7ee9, (q15_t)0xef56, (q15_t)0x7ee8, (q15_t)0xef50, (q15_t)0x7ee7, (q15_t)0xef49,
+ (q15_t)0x7ee6, (q15_t)0xef43, (q15_t)0x7ee5, (q15_t)0xef3d, (q15_t)0x7ee4, (q15_t)0xef37, (q15_t)0x7ee4, (q15_t)0xef30,
+ (q15_t)0x7ee3, (q15_t)0xef2a, (q15_t)0x7ee2, (q15_t)0xef24, (q15_t)0x7ee1, (q15_t)0xef1e, (q15_t)0x7ee0, (q15_t)0xef18,
+ (q15_t)0x7edf, (q15_t)0xef11, (q15_t)0x7edf, (q15_t)0xef0b, (q15_t)0x7ede, (q15_t)0xef05, (q15_t)0x7edd, (q15_t)0xeeff,
+ (q15_t)0x7edc, (q15_t)0xeef8, (q15_t)0x7edb, (q15_t)0xeef2, (q15_t)0x7eda, (q15_t)0xeeec, (q15_t)0x7eda, (q15_t)0xeee6,
+ (q15_t)0x7ed9, (q15_t)0xeedf, (q15_t)0x7ed8, (q15_t)0xeed9, (q15_t)0x7ed7, (q15_t)0xeed3, (q15_t)0x7ed6, (q15_t)0xeecd,
+ (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ed5, (q15_t)0xeec0, (q15_t)0x7ed4, (q15_t)0xeeba, (q15_t)0x7ed3, (q15_t)0xeeb4,
+ (q15_t)0x7ed2, (q15_t)0xeeae, (q15_t)0x7ed1, (q15_t)0xeea7, (q15_t)0x7ed0, (q15_t)0xeea1, (q15_t)0x7ecf, (q15_t)0xee9b,
+ (q15_t)0x7ecf, (q15_t)0xee95, (q15_t)0x7ece, (q15_t)0xee8f, (q15_t)0x7ecd, (q15_t)0xee88, (q15_t)0x7ecc, (q15_t)0xee82,
+ (q15_t)0x7ecb, (q15_t)0xee7c, (q15_t)0x7eca, (q15_t)0xee76, (q15_t)0x7ec9, (q15_t)0xee6f, (q15_t)0x7ec9, (q15_t)0xee69,
+ (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7ec7, (q15_t)0xee5d, (q15_t)0x7ec6, (q15_t)0xee57, (q15_t)0x7ec5, (q15_t)0xee50,
+ (q15_t)0x7ec4, (q15_t)0xee4a, (q15_t)0x7ec3, (q15_t)0xee44, (q15_t)0x7ec3, (q15_t)0xee3e, (q15_t)0x7ec2, (q15_t)0xee37,
+ (q15_t)0x7ec1, (q15_t)0xee31, (q15_t)0x7ec0, (q15_t)0xee2b, (q15_t)0x7ebf, (q15_t)0xee25, (q15_t)0x7ebe, (q15_t)0xee1f,
+ (q15_t)0x7ebd, (q15_t)0xee18, (q15_t)0x7ebc, (q15_t)0xee12, (q15_t)0x7ebb, (q15_t)0xee0c, (q15_t)0x7ebb, (q15_t)0xee06,
+ (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eb9, (q15_t)0xedf9, (q15_t)0x7eb8, (q15_t)0xedf3, (q15_t)0x7eb7, (q15_t)0xeded,
+ (q15_t)0x7eb6, (q15_t)0xede7, (q15_t)0x7eb5, (q15_t)0xede0, (q15_t)0x7eb4, (q15_t)0xedda, (q15_t)0x7eb4, (q15_t)0xedd4,
+ (q15_t)0x7eb3, (q15_t)0xedce, (q15_t)0x7eb2, (q15_t)0xedc7, (q15_t)0x7eb1, (q15_t)0xedc1, (q15_t)0x7eb0, (q15_t)0xedbb,
+ (q15_t)0x7eaf, (q15_t)0xedb5, (q15_t)0x7eae, (q15_t)0xedaf, (q15_t)0x7ead, (q15_t)0xeda8, (q15_t)0x7eac, (q15_t)0xeda2,
+ (q15_t)0x7eab, (q15_t)0xed9c, (q15_t)0x7eab, (q15_t)0xed96, (q15_t)0x7eaa, (q15_t)0xed8f, (q15_t)0x7ea9, (q15_t)0xed89,
+ (q15_t)0x7ea8, (q15_t)0xed83, (q15_t)0x7ea7, (q15_t)0xed7d, (q15_t)0x7ea6, (q15_t)0xed77, (q15_t)0x7ea5, (q15_t)0xed70,
+ (q15_t)0x7ea4, (q15_t)0xed6a, (q15_t)0x7ea3, (q15_t)0xed64, (q15_t)0x7ea2, (q15_t)0xed5e, (q15_t)0x7ea1, (q15_t)0xed58,
+ (q15_t)0x7ea1, (q15_t)0xed51, (q15_t)0x7ea0, (q15_t)0xed4b, (q15_t)0x7e9f, (q15_t)0xed45, (q15_t)0x7e9e, (q15_t)0xed3f,
+ (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e9c, (q15_t)0xed32, (q15_t)0x7e9b, (q15_t)0xed2c, (q15_t)0x7e9a, (q15_t)0xed26,
+ (q15_t)0x7e99, (q15_t)0xed20, (q15_t)0x7e98, (q15_t)0xed19, (q15_t)0x7e97, (q15_t)0xed13, (q15_t)0x7e96, (q15_t)0xed0d,
+ (q15_t)0x7e95, (q15_t)0xed07, (q15_t)0x7e94, (q15_t)0xed01, (q15_t)0x7e94, (q15_t)0xecfa, (q15_t)0x7e93, (q15_t)0xecf4,
+ (q15_t)0x7e92, (q15_t)0xecee, (q15_t)0x7e91, (q15_t)0xece8, (q15_t)0x7e90, (q15_t)0xece1, (q15_t)0x7e8f, (q15_t)0xecdb,
+ (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e8d, (q15_t)0xeccf, (q15_t)0x7e8c, (q15_t)0xecc9, (q15_t)0x7e8b, (q15_t)0xecc2,
+ (q15_t)0x7e8a, (q15_t)0xecbc, (q15_t)0x7e89, (q15_t)0xecb6, (q15_t)0x7e88, (q15_t)0xecb0, (q15_t)0x7e87, (q15_t)0xecaa,
+ (q15_t)0x7e86, (q15_t)0xeca3, (q15_t)0x7e85, (q15_t)0xec9d, (q15_t)0x7e84, (q15_t)0xec97, (q15_t)0x7e84, (q15_t)0xec91,
+ (q15_t)0x7e83, (q15_t)0xec8a, (q15_t)0x7e82, (q15_t)0xec84, (q15_t)0x7e81, (q15_t)0xec7e, (q15_t)0x7e80, (q15_t)0xec78,
+ (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e7e, (q15_t)0xec6b, (q15_t)0x7e7d, (q15_t)0xec65, (q15_t)0x7e7c, (q15_t)0xec5f,
+ (q15_t)0x7e7b, (q15_t)0xec59, (q15_t)0x7e7a, (q15_t)0xec53, (q15_t)0x7e79, (q15_t)0xec4c, (q15_t)0x7e78, (q15_t)0xec46,
+ (q15_t)0x7e77, (q15_t)0xec40, (q15_t)0x7e76, (q15_t)0xec3a, (q15_t)0x7e75, (q15_t)0xec34, (q15_t)0x7e74, (q15_t)0xec2d,
+ (q15_t)0x7e73, (q15_t)0xec27, (q15_t)0x7e72, (q15_t)0xec21, (q15_t)0x7e71, (q15_t)0xec1b, (q15_t)0x7e70, (q15_t)0xec15,
+ (q15_t)0x7e6f, (q15_t)0xec0e, (q15_t)0x7e6e, (q15_t)0xec08, (q15_t)0x7e6d, (q15_t)0xec02, (q15_t)0x7e6c, (q15_t)0xebfc,
+ (q15_t)0x7e6b, (q15_t)0xebf5, (q15_t)0x7e6a, (q15_t)0xebef, (q15_t)0x7e69, (q15_t)0xebe9, (q15_t)0x7e68, (q15_t)0xebe3,
+ (q15_t)0x7e67, (q15_t)0xebdd, (q15_t)0x7e66, (q15_t)0xebd6, (q15_t)0x7e65, (q15_t)0xebd0, (q15_t)0x7e64, (q15_t)0xebca,
+ (q15_t)0x7e63, (q15_t)0xebc4, (q15_t)0x7e62, (q15_t)0xebbe, (q15_t)0x7e61, (q15_t)0xebb7, (q15_t)0x7e60, (q15_t)0xebb1,
+ (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e5e, (q15_t)0xeba5, (q15_t)0x7e5d, (q15_t)0xeb9f, (q15_t)0x7e5c, (q15_t)0xeb98,
+ (q15_t)0x7e5b, (q15_t)0xeb92, (q15_t)0x7e5a, (q15_t)0xeb8c, (q15_t)0x7e59, (q15_t)0xeb86, (q15_t)0x7e58, (q15_t)0xeb80,
+ (q15_t)0x7e57, (q15_t)0xeb79, (q15_t)0x7e56, (q15_t)0xeb73, (q15_t)0x7e55, (q15_t)0xeb6d, (q15_t)0x7e54, (q15_t)0xeb67,
+ (q15_t)0x7e53, (q15_t)0xeb61, (q15_t)0x7e52, (q15_t)0xeb5a, (q15_t)0x7e51, (q15_t)0xeb54, (q15_t)0x7e50, (q15_t)0xeb4e,
+ (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e4e, (q15_t)0xeb42, (q15_t)0x7e4d, (q15_t)0xeb3b, (q15_t)0x7e4c, (q15_t)0xeb35,
+ (q15_t)0x7e4b, (q15_t)0xeb2f, (q15_t)0x7e4a, (q15_t)0xeb29, (q15_t)0x7e49, (q15_t)0xeb23, (q15_t)0x7e48, (q15_t)0xeb1c,
+ (q15_t)0x7e47, (q15_t)0xeb16, (q15_t)0x7e46, (q15_t)0xeb10, (q15_t)0x7e45, (q15_t)0xeb0a, (q15_t)0x7e44, (q15_t)0xeb04,
+ (q15_t)0x7e43, (q15_t)0xeafd, (q15_t)0x7e42, (q15_t)0xeaf7, (q15_t)0x7e41, (q15_t)0xeaf1, (q15_t)0x7e40, (q15_t)0xeaeb,
+ (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e3e, (q15_t)0xeade, (q15_t)0x7e3d, (q15_t)0xead8, (q15_t)0x7e3c, (q15_t)0xead2,
+ (q15_t)0x7e3b, (q15_t)0xeacc, (q15_t)0x7e3a, (q15_t)0xeac6, (q15_t)0x7e39, (q15_t)0xeabf, (q15_t)0x7e38, (q15_t)0xeab9,
+ (q15_t)0x7e37, (q15_t)0xeab3, (q15_t)0x7e35, (q15_t)0xeaad, (q15_t)0x7e34, (q15_t)0xeaa7, (q15_t)0x7e33, (q15_t)0xeaa0,
+ (q15_t)0x7e32, (q15_t)0xea9a, (q15_t)0x7e31, (q15_t)0xea94, (q15_t)0x7e30, (q15_t)0xea8e, (q15_t)0x7e2f, (q15_t)0xea88,
+ (q15_t)0x7e2e, (q15_t)0xea81, (q15_t)0x7e2d, (q15_t)0xea7b, (q15_t)0x7e2c, (q15_t)0xea75, (q15_t)0x7e2b, (q15_t)0xea6f,
+ (q15_t)0x7e2a, (q15_t)0xea69, (q15_t)0x7e29, (q15_t)0xea63, (q15_t)0x7e28, (q15_t)0xea5c, (q15_t)0x7e27, (q15_t)0xea56,
+ (q15_t)0x7e26, (q15_t)0xea50, (q15_t)0x7e25, (q15_t)0xea4a, (q15_t)0x7e24, (q15_t)0xea44, (q15_t)0x7e22, (q15_t)0xea3d,
+ (q15_t)0x7e21, (q15_t)0xea37, (q15_t)0x7e20, (q15_t)0xea31, (q15_t)0x7e1f, (q15_t)0xea2b, (q15_t)0x7e1e, (q15_t)0xea25,
+ (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e1c, (q15_t)0xea18, (q15_t)0x7e1b, (q15_t)0xea12, (q15_t)0x7e1a, (q15_t)0xea0c,
+ (q15_t)0x7e19, (q15_t)0xea06, (q15_t)0x7e18, (q15_t)0xe9ff, (q15_t)0x7e17, (q15_t)0xe9f9, (q15_t)0x7e16, (q15_t)0xe9f3,
+ (q15_t)0x7e14, (q15_t)0xe9ed, (q15_t)0x7e13, (q15_t)0xe9e7, (q15_t)0x7e12, (q15_t)0xe9e1, (q15_t)0x7e11, (q15_t)0xe9da,
+ (q15_t)0x7e10, (q15_t)0xe9d4, (q15_t)0x7e0f, (q15_t)0xe9ce, (q15_t)0x7e0e, (q15_t)0xe9c8, (q15_t)0x7e0d, (q15_t)0xe9c2,
+ (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7e0b, (q15_t)0xe9b5, (q15_t)0x7e0a, (q15_t)0xe9af, (q15_t)0x7e08, (q15_t)0xe9a9,
+ (q15_t)0x7e07, (q15_t)0xe9a3, (q15_t)0x7e06, (q15_t)0xe99c, (q15_t)0x7e05, (q15_t)0xe996, (q15_t)0x7e04, (q15_t)0xe990,
+ (q15_t)0x7e03, (q15_t)0xe98a, (q15_t)0x7e02, (q15_t)0xe984, (q15_t)0x7e01, (q15_t)0xe97e, (q15_t)0x7e00, (q15_t)0xe977,
+ (q15_t)0x7dff, (q15_t)0xe971, (q15_t)0x7dfd, (q15_t)0xe96b, (q15_t)0x7dfc, (q15_t)0xe965, (q15_t)0x7dfb, (q15_t)0xe95f,
+ (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7df9, (q15_t)0xe952, (q15_t)0x7df8, (q15_t)0xe94c, (q15_t)0x7df7, (q15_t)0xe946,
+ (q15_t)0x7df6, (q15_t)0xe940, (q15_t)0x7df5, (q15_t)0xe93a, (q15_t)0x7df3, (q15_t)0xe933, (q15_t)0x7df2, (q15_t)0xe92d,
+ (q15_t)0x7df1, (q15_t)0xe927, (q15_t)0x7df0, (q15_t)0xe921, (q15_t)0x7def, (q15_t)0xe91b, (q15_t)0x7dee, (q15_t)0xe914,
+ (q15_t)0x7ded, (q15_t)0xe90e, (q15_t)0x7dec, (q15_t)0xe908, (q15_t)0x7dea, (q15_t)0xe902, (q15_t)0x7de9, (q15_t)0xe8fc,
+ (q15_t)0x7de8, (q15_t)0xe8f6, (q15_t)0x7de7, (q15_t)0xe8ef, (q15_t)0x7de6, (q15_t)0xe8e9, (q15_t)0x7de5, (q15_t)0xe8e3,
+ (q15_t)0x7de4, (q15_t)0xe8dd, (q15_t)0x7de2, (q15_t)0xe8d7, (q15_t)0x7de1, (q15_t)0xe8d0, (q15_t)0x7de0, (q15_t)0xe8ca,
+ (q15_t)0x7ddf, (q15_t)0xe8c4, (q15_t)0x7dde, (q15_t)0xe8be, (q15_t)0x7ddd, (q15_t)0xe8b8, (q15_t)0x7ddc, (q15_t)0xe8b2,
+ (q15_t)0x7dda, (q15_t)0xe8ab, (q15_t)0x7dd9, (q15_t)0xe8a5, (q15_t)0x7dd8, (q15_t)0xe89f, (q15_t)0x7dd7, (q15_t)0xe899,
+ (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dd5, (q15_t)0xe88c, (q15_t)0x7dd4, (q15_t)0xe886, (q15_t)0x7dd2, (q15_t)0xe880,
+ (q15_t)0x7dd1, (q15_t)0xe87a, (q15_t)0x7dd0, (q15_t)0xe874, (q15_t)0x7dcf, (q15_t)0xe86e, (q15_t)0x7dce, (q15_t)0xe867,
+ (q15_t)0x7dcd, (q15_t)0xe861, (q15_t)0x7dcc, (q15_t)0xe85b, (q15_t)0x7dca, (q15_t)0xe855, (q15_t)0x7dc9, (q15_t)0xe84f,
+ (q15_t)0x7dc8, (q15_t)0xe849, (q15_t)0x7dc7, (q15_t)0xe842, (q15_t)0x7dc6, (q15_t)0xe83c, (q15_t)0x7dc5, (q15_t)0xe836,
+ (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7dc2, (q15_t)0xe82a, (q15_t)0x7dc1, (q15_t)0xe823, (q15_t)0x7dc0, (q15_t)0xe81d,
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+ (q15_t)0x7dba, (q15_t)0xe7fe, (q15_t)0x7db9, (q15_t)0xe7f8, (q15_t)0x7db8, (q15_t)0xe7f2, (q15_t)0x7db6, (q15_t)0xe7ec,
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+ (q15_t)0x7bf2, (q15_t)0xe00b, (q15_t)0x7bf0, (q15_t)0xe005, (q15_t)0x7bef, (q15_t)0xdfff, (q15_t)0x7bed, (q15_t)0xdff9,
+ (q15_t)0x7beb, (q15_t)0xdff3, (q15_t)0x7bea, (q15_t)0xdfed, (q15_t)0x7be8, (q15_t)0xdfe7, (q15_t)0x7be7, (q15_t)0xdfe1,
+ (q15_t)0x7be5, (q15_t)0xdfdb, (q15_t)0x7be4, (q15_t)0xdfd5, (q15_t)0x7be2, (q15_t)0xdfce, (q15_t)0x7be0, (q15_t)0xdfc8,
+ (q15_t)0x7bdf, (q15_t)0xdfc2, (q15_t)0x7bdd, (q15_t)0xdfbc, (q15_t)0x7bdc, (q15_t)0xdfb6, (q15_t)0x7bda, (q15_t)0xdfb0,
+ (q15_t)0x7bd9, (q15_t)0xdfaa, (q15_t)0x7bd7, (q15_t)0xdfa4, (q15_t)0x7bd5, (q15_t)0xdf9e, (q15_t)0x7bd4, (q15_t)0xdf98,
+ (q15_t)0x7bd2, (q15_t)0xdf92, (q15_t)0x7bd1, (q15_t)0xdf8c, (q15_t)0x7bcf, (q15_t)0xdf86, (q15_t)0x7bcd, (q15_t)0xdf7f,
+ (q15_t)0x7bcc, (q15_t)0xdf79, (q15_t)0x7bca, (q15_t)0xdf73, (q15_t)0x7bc9, (q15_t)0xdf6d, (q15_t)0x7bc7, (q15_t)0xdf67,
+ (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bc4, (q15_t)0xdf5b, (q15_t)0x7bc2, (q15_t)0xdf55, (q15_t)0x7bc1, (q15_t)0xdf4f,
+ (q15_t)0x7bbf, (q15_t)0xdf49, (q15_t)0x7bbd, (q15_t)0xdf43, (q15_t)0x7bbc, (q15_t)0xdf3d, (q15_t)0x7bba, (q15_t)0xdf37,
+ (q15_t)0x7bb9, (q15_t)0xdf30, (q15_t)0x7bb7, (q15_t)0xdf2a, (q15_t)0x7bb5, (q15_t)0xdf24, (q15_t)0x7bb4, (q15_t)0xdf1e,
+ (q15_t)0x7bb2, (q15_t)0xdf18, (q15_t)0x7bb0, (q15_t)0xdf12, (q15_t)0x7baf, (q15_t)0xdf0c, (q15_t)0x7bad, (q15_t)0xdf06,
+ (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7baa, (q15_t)0xdefa, (q15_t)0x7ba8, (q15_t)0xdef4, (q15_t)0x7ba7, (q15_t)0xdeee,
+ (q15_t)0x7ba5, (q15_t)0xdee8, (q15_t)0x7ba3, (q15_t)0xdee2, (q15_t)0x7ba2, (q15_t)0xdedb, (q15_t)0x7ba0, (q15_t)0xded5,
+ (q15_t)0x7b9f, (q15_t)0xdecf, (q15_t)0x7b9d, (q15_t)0xdec9, (q15_t)0x7b9b, (q15_t)0xdec3, (q15_t)0x7b9a, (q15_t)0xdebd,
+ (q15_t)0x7b98, (q15_t)0xdeb7, (q15_t)0x7b96, (q15_t)0xdeb1, (q15_t)0x7b95, (q15_t)0xdeab, (q15_t)0x7b93, (q15_t)0xdea5,
+ (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b90, (q15_t)0xde99, (q15_t)0x7b8e, (q15_t)0xde93, (q15_t)0x7b8d, (q15_t)0xde8d,
+ (q15_t)0x7b8b, (q15_t)0xde87, (q15_t)0x7b89, (q15_t)0xde80, (q15_t)0x7b88, (q15_t)0xde7a, (q15_t)0x7b86, (q15_t)0xde74,
+ (q15_t)0x7b84, (q15_t)0xde6e, (q15_t)0x7b83, (q15_t)0xde68, (q15_t)0x7b81, (q15_t)0xde62, (q15_t)0x7b7f, (q15_t)0xde5c,
+ (q15_t)0x7b7e, (q15_t)0xde56, (q15_t)0x7b7c, (q15_t)0xde50, (q15_t)0x7b7a, (q15_t)0xde4a, (q15_t)0x7b79, (q15_t)0xde44,
+ (q15_t)0x7b77, (q15_t)0xde3e, (q15_t)0x7b76, (q15_t)0xde38, (q15_t)0x7b74, (q15_t)0xde32, (q15_t)0x7b72, (q15_t)0xde2c,
+ (q15_t)0x7b71, (q15_t)0xde26, (q15_t)0x7b6f, (q15_t)0xde1f, (q15_t)0x7b6d, (q15_t)0xde19, (q15_t)0x7b6c, (q15_t)0xde13,
+ (q15_t)0x7b6a, (q15_t)0xde0d, (q15_t)0x7b68, (q15_t)0xde07, (q15_t)0x7b67, (q15_t)0xde01, (q15_t)0x7b65, (q15_t)0xddfb,
+ (q15_t)0x7b63, (q15_t)0xddf5, (q15_t)0x7b62, (q15_t)0xddef, (q15_t)0x7b60, (q15_t)0xdde9, (q15_t)0x7b5e, (q15_t)0xdde3,
+ (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b5b, (q15_t)0xddd7, (q15_t)0x7b59, (q15_t)0xddd1, (q15_t)0x7b57, (q15_t)0xddcb,
+ (q15_t)0x7b56, (q15_t)0xddc5, (q15_t)0x7b54, (q15_t)0xddbf, (q15_t)0x7b52, (q15_t)0xddb9, (q15_t)0x7b51, (q15_t)0xddb2,
+ (q15_t)0x7b4f, (q15_t)0xddac, (q15_t)0x7b4d, (q15_t)0xdda6, (q15_t)0x7b4c, (q15_t)0xdda0, (q15_t)0x7b4a, (q15_t)0xdd9a,
+ (q15_t)0x7b48, (q15_t)0xdd94, (q15_t)0x7b47, (q15_t)0xdd8e, (q15_t)0x7b45, (q15_t)0xdd88, (q15_t)0x7b43, (q15_t)0xdd82,
+ (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b40, (q15_t)0xdd76, (q15_t)0x7b3e, (q15_t)0xdd70, (q15_t)0x7b3c, (q15_t)0xdd6a,
+ (q15_t)0x7b3b, (q15_t)0xdd64, (q15_t)0x7b39, (q15_t)0xdd5e, (q15_t)0x7b37, (q15_t)0xdd58, (q15_t)0x7b36, (q15_t)0xdd52,
+ (q15_t)0x7b34, (q15_t)0xdd4c, (q15_t)0x7b32, (q15_t)0xdd46, (q15_t)0x7b31, (q15_t)0xdd40, (q15_t)0x7b2f, (q15_t)0xdd39,
+ (q15_t)0x7b2d, (q15_t)0xdd33, (q15_t)0x7b2b, (q15_t)0xdd2d, (q15_t)0x7b2a, (q15_t)0xdd27, (q15_t)0x7b28, (q15_t)0xdd21,
+ (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b25, (q15_t)0xdd15, (q15_t)0x7b23, (q15_t)0xdd0f, (q15_t)0x7b21, (q15_t)0xdd09,
+ (q15_t)0x7b1f, (q15_t)0xdd03, (q15_t)0x7b1e, (q15_t)0xdcfd, (q15_t)0x7b1c, (q15_t)0xdcf7, (q15_t)0x7b1a, (q15_t)0xdcf1,
+ (q15_t)0x7b19, (q15_t)0xdceb, (q15_t)0x7b17, (q15_t)0xdce5, (q15_t)0x7b15, (q15_t)0xdcdf, (q15_t)0x7b13, (q15_t)0xdcd9,
+ (q15_t)0x7b12, (q15_t)0xdcd3, (q15_t)0x7b10, (q15_t)0xdccd, (q15_t)0x7b0e, (q15_t)0xdcc7, (q15_t)0x7b0c, (q15_t)0xdcc1,
+ (q15_t)0x7b0b, (q15_t)0xdcbb, (q15_t)0x7b09, (q15_t)0xdcb5, (q15_t)0x7b07, (q15_t)0xdcae, (q15_t)0x7b06, (q15_t)0xdca8,
+ (q15_t)0x7b04, (q15_t)0xdca2, (q15_t)0x7b02, (q15_t)0xdc9c, (q15_t)0x7b00, (q15_t)0xdc96, (q15_t)0x7aff, (q15_t)0xdc90,
+ (q15_t)0x7afd, (q15_t)0xdc8a, (q15_t)0x7afb, (q15_t)0xdc84, (q15_t)0x7af9, (q15_t)0xdc7e, (q15_t)0x7af8, (q15_t)0xdc78,
+ (q15_t)0x7af6, (q15_t)0xdc72, (q15_t)0x7af4, (q15_t)0xdc6c, (q15_t)0x7af2, (q15_t)0xdc66, (q15_t)0x7af1, (q15_t)0xdc60,
+ (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7aed, (q15_t)0xdc54, (q15_t)0x7aeb, (q15_t)0xdc4e, (q15_t)0x7aea, (q15_t)0xdc48,
+ (q15_t)0x7ae8, (q15_t)0xdc42, (q15_t)0x7ae6, (q15_t)0xdc3c, (q15_t)0x7ae4, (q15_t)0xdc36, (q15_t)0x7ae3, (q15_t)0xdc30,
+ (q15_t)0x7ae1, (q15_t)0xdc2a, (q15_t)0x7adf, (q15_t)0xdc24, (q15_t)0x7add, (q15_t)0xdc1e, (q15_t)0x7adc, (q15_t)0xdc18,
+ (q15_t)0x7ada, (q15_t)0xdc12, (q15_t)0x7ad8, (q15_t)0xdc0c, (q15_t)0x7ad6, (q15_t)0xdc06, (q15_t)0x7ad5, (q15_t)0xdbff,
+ (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ad1, (q15_t)0xdbf3, (q15_t)0x7acf, (q15_t)0xdbed, (q15_t)0x7acd, (q15_t)0xdbe7,
+ (q15_t)0x7acc, (q15_t)0xdbe1, (q15_t)0x7aca, (q15_t)0xdbdb, (q15_t)0x7ac8, (q15_t)0xdbd5, (q15_t)0x7ac6, (q15_t)0xdbcf,
+ (q15_t)0x7ac5, (q15_t)0xdbc9, (q15_t)0x7ac3, (q15_t)0xdbc3, (q15_t)0x7ac1, (q15_t)0xdbbd, (q15_t)0x7abf, (q15_t)0xdbb7,
+ (q15_t)0x7abd, (q15_t)0xdbb1, (q15_t)0x7abc, (q15_t)0xdbab, (q15_t)0x7aba, (q15_t)0xdba5, (q15_t)0x7ab8, (q15_t)0xdb9f,
+ (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7ab5, (q15_t)0xdb93, (q15_t)0x7ab3, (q15_t)0xdb8d, (q15_t)0x7ab1, (q15_t)0xdb87,
+ (q15_t)0x7aaf, (q15_t)0xdb81, (q15_t)0x7aad, (q15_t)0xdb7b, (q15_t)0x7aac, (q15_t)0xdb75, (q15_t)0x7aaa, (q15_t)0xdb6f,
+ (q15_t)0x7aa8, (q15_t)0xdb69, (q15_t)0x7aa6, (q15_t)0xdb63, (q15_t)0x7aa4, (q15_t)0xdb5d, (q15_t)0x7aa3, (q15_t)0xdb57,
+ (q15_t)0x7aa1, (q15_t)0xdb51, (q15_t)0x7a9f, (q15_t)0xdb4b, (q15_t)0x7a9d, (q15_t)0xdb45, (q15_t)0x7a9b, (q15_t)0xdb3f,
+ (q15_t)0x7a9a, (q15_t)0xdb39, (q15_t)0x7a98, (q15_t)0xdb33, (q15_t)0x7a96, (q15_t)0xdb2d, (q15_t)0x7a94, (q15_t)0xdb27,
+ (q15_t)0x7a92, (q15_t)0xdb21, (q15_t)0x7a91, (q15_t)0xdb1b, (q15_t)0x7a8f, (q15_t)0xdb15, (q15_t)0x7a8d, (q15_t)0xdb0f,
+ (q15_t)0x7a8b, (q15_t)0xdb09, (q15_t)0x7a89, (q15_t)0xdb03, (q15_t)0x7a87, (q15_t)0xdafd, (q15_t)0x7a86, (q15_t)0xdaf7,
+ (q15_t)0x7a84, (q15_t)0xdaf1, (q15_t)0x7a82, (q15_t)0xdaea, (q15_t)0x7a80, (q15_t)0xdae4, (q15_t)0x7a7e, (q15_t)0xdade,
+ (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a7b, (q15_t)0xdad2, (q15_t)0x7a79, (q15_t)0xdacc, (q15_t)0x7a77, (q15_t)0xdac6,
+ (q15_t)0x7a75, (q15_t)0xdac0, (q15_t)0x7a73, (q15_t)0xdaba, (q15_t)0x7a72, (q15_t)0xdab4, (q15_t)0x7a70, (q15_t)0xdaae,
+ (q15_t)0x7a6e, (q15_t)0xdaa8, (q15_t)0x7a6c, (q15_t)0xdaa2, (q15_t)0x7a6a, (q15_t)0xda9c, (q15_t)0x7a68, (q15_t)0xda96,
+ (q15_t)0x7a67, (q15_t)0xda90, (q15_t)0x7a65, (q15_t)0xda8a, (q15_t)0x7a63, (q15_t)0xda84, (q15_t)0x7a61, (q15_t)0xda7e,
+ (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a5d, (q15_t)0xda72, (q15_t)0x7a5c, (q15_t)0xda6c, (q15_t)0x7a5a, (q15_t)0xda66,
+ (q15_t)0x7a58, (q15_t)0xda60, (q15_t)0x7a56, (q15_t)0xda5a, (q15_t)0x7a54, (q15_t)0xda54, (q15_t)0x7a52, (q15_t)0xda4e,
+ (q15_t)0x7a50, (q15_t)0xda48, (q15_t)0x7a4f, (q15_t)0xda42, (q15_t)0x7a4d, (q15_t)0xda3c, (q15_t)0x7a4b, (q15_t)0xda36,
+ (q15_t)0x7a49, (q15_t)0xda30, (q15_t)0x7a47, (q15_t)0xda2a, (q15_t)0x7a45, (q15_t)0xda24, (q15_t)0x7a43, (q15_t)0xda1e,
+ (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a40, (q15_t)0xda12, (q15_t)0x7a3e, (q15_t)0xda0c, (q15_t)0x7a3c, (q15_t)0xda06,
+ (q15_t)0x7a3a, (q15_t)0xda00, (q15_t)0x7a38, (q15_t)0xd9fa, (q15_t)0x7a36, (q15_t)0xd9f4, (q15_t)0x7a35, (q15_t)0xd9ee,
+ (q15_t)0x7a33, (q15_t)0xd9e8, (q15_t)0x7a31, (q15_t)0xd9e2, (q15_t)0x7a2f, (q15_t)0xd9dc, (q15_t)0x7a2d, (q15_t)0xd9d6,
+ (q15_t)0x7a2b, (q15_t)0xd9d0, (q15_t)0x7a29, (q15_t)0xd9ca, (q15_t)0x7a27, (q15_t)0xd9c4, (q15_t)0x7a26, (q15_t)0xd9be,
+ (q15_t)0x7a24, (q15_t)0xd9b8, (q15_t)0x7a22, (q15_t)0xd9b2, (q15_t)0x7a20, (q15_t)0xd9ac, (q15_t)0x7a1e, (q15_t)0xd9a6,
+ (q15_t)0x7a1c, (q15_t)0xd9a0, (q15_t)0x7a1a, (q15_t)0xd99a, (q15_t)0x7a18, (q15_t)0xd994, (q15_t)0x7a16, (q15_t)0xd98e,
+ (q15_t)0x7a15, (q15_t)0xd988, (q15_t)0x7a13, (q15_t)0xd982, (q15_t)0x7a11, (q15_t)0xd97c, (q15_t)0x7a0f, (q15_t)0xd976,
+ (q15_t)0x7a0d, (q15_t)0xd970, (q15_t)0x7a0b, (q15_t)0xd96a, (q15_t)0x7a09, (q15_t)0xd964, (q15_t)0x7a07, (q15_t)0xd95e,
+ (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x7a04, (q15_t)0xd952, (q15_t)0x7a02, (q15_t)0xd94c, (q15_t)0x7a00, (q15_t)0xd946,
+ (q15_t)0x79fe, (q15_t)0xd940, (q15_t)0x79fc, (q15_t)0xd93a, (q15_t)0x79fa, (q15_t)0xd934, (q15_t)0x79f8, (q15_t)0xd92e,
+ (q15_t)0x79f6, (q15_t)0xd928, (q15_t)0x79f4, (q15_t)0xd922, (q15_t)0x79f2, (q15_t)0xd91c, (q15_t)0x79f0, (q15_t)0xd917,
+ (q15_t)0x79ef, (q15_t)0xd911, (q15_t)0x79ed, (q15_t)0xd90b, (q15_t)0x79eb, (q15_t)0xd905, (q15_t)0x79e9, (q15_t)0xd8ff,
+ (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79e5, (q15_t)0xd8f3, (q15_t)0x79e3, (q15_t)0xd8ed, (q15_t)0x79e1, (q15_t)0xd8e7,
+ (q15_t)0x79df, (q15_t)0xd8e1, (q15_t)0x79dd, (q15_t)0xd8db, (q15_t)0x79db, (q15_t)0xd8d5, (q15_t)0x79d9, (q15_t)0xd8cf,
+ (q15_t)0x79d8, (q15_t)0xd8c9, (q15_t)0x79d6, (q15_t)0xd8c3, (q15_t)0x79d4, (q15_t)0xd8bd, (q15_t)0x79d2, (q15_t)0xd8b7,
+ (q15_t)0x79d0, (q15_t)0xd8b1, (q15_t)0x79ce, (q15_t)0xd8ab, (q15_t)0x79cc, (q15_t)0xd8a5, (q15_t)0x79ca, (q15_t)0xd89f,
+ (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79c6, (q15_t)0xd893, (q15_t)0x79c4, (q15_t)0xd88d, (q15_t)0x79c2, (q15_t)0xd887,
+ (q15_t)0x79c0, (q15_t)0xd881, (q15_t)0x79be, (q15_t)0xd87b, (q15_t)0x79bc, (q15_t)0xd875, (q15_t)0x79bb, (q15_t)0xd86f,
+ (q15_t)0x79b9, (q15_t)0xd869, (q15_t)0x79b7, (q15_t)0xd863, (q15_t)0x79b5, (q15_t)0xd85d, (q15_t)0x79b3, (q15_t)0xd857,
+ (q15_t)0x79b1, (q15_t)0xd851, (q15_t)0x79af, (q15_t)0xd84b, (q15_t)0x79ad, (q15_t)0xd845, (q15_t)0x79ab, (q15_t)0xd83f,
+ (q15_t)0x79a9, (q15_t)0xd839, (q15_t)0x79a7, (q15_t)0xd833, (q15_t)0x79a5, (q15_t)0xd82d, (q15_t)0x79a3, (q15_t)0xd827,
+ (q15_t)0x79a1, (q15_t)0xd821, (q15_t)0x799f, (q15_t)0xd81b, (q15_t)0x799d, (q15_t)0xd815, (q15_t)0x799b, (q15_t)0xd80f,
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+ (q15_t)0x797a, (q15_t)0xd7aa, (q15_t)0x7978, (q15_t)0xd7a4, (q15_t)0x7976, (q15_t)0xd79e, (q15_t)0x7974, (q15_t)0xd798,
+ (q15_t)0x7972, (q15_t)0xd792, (q15_t)0x7970, (q15_t)0xd78c, (q15_t)0x796e, (q15_t)0xd786, (q15_t)0x796c, (q15_t)0xd780,
+ (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x7968, (q15_t)0xd774, (q15_t)0x7966, (q15_t)0xd76e, (q15_t)0x7964, (q15_t)0xd768,
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+ (q15_t)0x795a, (q15_t)0xd74b, (q15_t)0x7958, (q15_t)0xd745, (q15_t)0x7956, (q15_t)0xd73f, (q15_t)0x7954, (q15_t)0xd739,
+ (q15_t)0x7952, (q15_t)0xd733, (q15_t)0x7950, (q15_t)0xd72d, (q15_t)0x794e, (q15_t)0xd727, (q15_t)0x794c, (q15_t)0xd721,
+ (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x7948, (q15_t)0xd715, (q15_t)0x7946, (q15_t)0xd70f, (q15_t)0x7944, (q15_t)0xd709,
+ (q15_t)0x7942, (q15_t)0xd703, (q15_t)0x7940, (q15_t)0xd6fd, (q15_t)0x793e, (q15_t)0xd6f7, (q15_t)0x793c, (q15_t)0xd6f1,
+ (q15_t)0x793a, (q15_t)0xd6eb, (q15_t)0x7938, (q15_t)0xd6e5, (q15_t)0x7936, (q15_t)0xd6e0, (q15_t)0x7934, (q15_t)0xd6da,
+ (q15_t)0x7932, (q15_t)0xd6d4, (q15_t)0x7930, (q15_t)0xd6ce, (q15_t)0x792e, (q15_t)0xd6c8, (q15_t)0x792c, (q15_t)0xd6c2,
+ (q15_t)0x792a, (q15_t)0xd6bc, (q15_t)0x7928, (q15_t)0xd6b6, (q15_t)0x7926, (q15_t)0xd6b0, (q15_t)0x7924, (q15_t)0xd6aa,
+ (q15_t)0x7922, (q15_t)0xd6a4, (q15_t)0x7920, (q15_t)0xd69e, (q15_t)0x791e, (q15_t)0xd698, (q15_t)0x791c, (q15_t)0xd692,
+ (q15_t)0x7919, (q15_t)0xd68c, (q15_t)0x7917, (q15_t)0xd686, (q15_t)0x7915, (q15_t)0xd680, (q15_t)0x7913, (q15_t)0xd67a,
+ (q15_t)0x7911, (q15_t)0xd675, (q15_t)0x790f, (q15_t)0xd66f, (q15_t)0x790d, (q15_t)0xd669, (q15_t)0x790b, (q15_t)0xd663,
+ (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x7907, (q15_t)0xd657, (q15_t)0x7905, (q15_t)0xd651, (q15_t)0x7903, (q15_t)0xd64b,
+ (q15_t)0x7901, (q15_t)0xd645, (q15_t)0x78ff, (q15_t)0xd63f, (q15_t)0x78fd, (q15_t)0xd639, (q15_t)0x78fb, (q15_t)0xd633,
+ (q15_t)0x78f9, (q15_t)0xd62d, (q15_t)0x78f7, (q15_t)0xd627, (q15_t)0x78f5, (q15_t)0xd621, (q15_t)0x78f3, (q15_t)0xd61b,
+ (q15_t)0x78f1, (q15_t)0xd615, (q15_t)0x78ee, (q15_t)0xd610, (q15_t)0x78ec, (q15_t)0xd60a, (q15_t)0x78ea, (q15_t)0xd604,
+ (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78e6, (q15_t)0xd5f8, (q15_t)0x78e4, (q15_t)0xd5f2, (q15_t)0x78e2, (q15_t)0xd5ec,
+ (q15_t)0x78e0, (q15_t)0xd5e6, (q15_t)0x78de, (q15_t)0xd5e0, (q15_t)0x78dc, (q15_t)0xd5da, (q15_t)0x78da, (q15_t)0xd5d4,
+ (q15_t)0x78d8, (q15_t)0xd5ce, (q15_t)0x78d6, (q15_t)0xd5c8, (q15_t)0x78d4, (q15_t)0xd5c2, (q15_t)0x78d2, (q15_t)0xd5bc,
+ (q15_t)0x78cf, (q15_t)0xd5b7, (q15_t)0x78cd, (q15_t)0xd5b1, (q15_t)0x78cb, (q15_t)0xd5ab, (q15_t)0x78c9, (q15_t)0xd5a5,
+ (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78c5, (q15_t)0xd599, (q15_t)0x78c3, (q15_t)0xd593, (q15_t)0x78c1, (q15_t)0xd58d,
+ (q15_t)0x78bf, (q15_t)0xd587, (q15_t)0x78bd, (q15_t)0xd581, (q15_t)0x78bb, (q15_t)0xd57b, (q15_t)0x78b9, (q15_t)0xd575,
+ (q15_t)0x78b6, (q15_t)0xd56f, (q15_t)0x78b4, (q15_t)0xd569, (q15_t)0x78b2, (q15_t)0xd564, (q15_t)0x78b0, (q15_t)0xd55e,
+ (q15_t)0x78ae, (q15_t)0xd558, (q15_t)0x78ac, (q15_t)0xd552, (q15_t)0x78aa, (q15_t)0xd54c, (q15_t)0x78a8, (q15_t)0xd546,
+ (q15_t)0x78a6, (q15_t)0xd540, (q15_t)0x78a4, (q15_t)0xd53a, (q15_t)0x78a2, (q15_t)0xd534, (q15_t)0x789f, (q15_t)0xd52e,
+ (q15_t)0x789d, (q15_t)0xd528, (q15_t)0x789b, (q15_t)0xd522, (q15_t)0x7899, (q15_t)0xd51c, (q15_t)0x7897, (q15_t)0xd517,
+ (q15_t)0x7895, (q15_t)0xd511, (q15_t)0x7893, (q15_t)0xd50b, (q15_t)0x7891, (q15_t)0xd505, (q15_t)0x788f, (q15_t)0xd4ff,
+ (q15_t)0x788c, (q15_t)0xd4f9, (q15_t)0x788a, (q15_t)0xd4f3, (q15_t)0x7888, (q15_t)0xd4ed, (q15_t)0x7886, (q15_t)0xd4e7,
+ (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7882, (q15_t)0xd4db, (q15_t)0x7880, (q15_t)0xd4d5, (q15_t)0x787e, (q15_t)0xd4d0,
+ (q15_t)0x787c, (q15_t)0xd4ca, (q15_t)0x7879, (q15_t)0xd4c4, (q15_t)0x7877, (q15_t)0xd4be, (q15_t)0x7875, (q15_t)0xd4b8,
+ (q15_t)0x7873, (q15_t)0xd4b2, (q15_t)0x7871, (q15_t)0xd4ac, (q15_t)0x786f, (q15_t)0xd4a6, (q15_t)0x786d, (q15_t)0xd4a0,
+ (q15_t)0x786b, (q15_t)0xd49a, (q15_t)0x7868, (q15_t)0xd494, (q15_t)0x7866, (q15_t)0xd48f, (q15_t)0x7864, (q15_t)0xd489,
+ (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7860, (q15_t)0xd47d, (q15_t)0x785e, (q15_t)0xd477, (q15_t)0x785c, (q15_t)0xd471,
+ (q15_t)0x7859, (q15_t)0xd46b, (q15_t)0x7857, (q15_t)0xd465, (q15_t)0x7855, (q15_t)0xd45f, (q15_t)0x7853, (q15_t)0xd459,
+ (q15_t)0x7851, (q15_t)0xd453, (q15_t)0x784f, (q15_t)0xd44e, (q15_t)0x784d, (q15_t)0xd448, (q15_t)0x784a, (q15_t)0xd442,
+ (q15_t)0x7848, (q15_t)0xd43c, (q15_t)0x7846, (q15_t)0xd436, (q15_t)0x7844, (q15_t)0xd430, (q15_t)0x7842, (q15_t)0xd42a,
+ (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x783e, (q15_t)0xd41e, (q15_t)0x783b, (q15_t)0xd418, (q15_t)0x7839, (q15_t)0xd412,
+ (q15_t)0x7837, (q15_t)0xd40d, (q15_t)0x7835, (q15_t)0xd407, (q15_t)0x7833, (q15_t)0xd401, (q15_t)0x7831, (q15_t)0xd3fb,
+ (q15_t)0x782e, (q15_t)0xd3f5, (q15_t)0x782c, (q15_t)0xd3ef, (q15_t)0x782a, (q15_t)0xd3e9, (q15_t)0x7828, (q15_t)0xd3e3,
+ (q15_t)0x7826, (q15_t)0xd3dd, (q15_t)0x7824, (q15_t)0xd3d7, (q15_t)0x7821, (q15_t)0xd3d2, (q15_t)0x781f, (q15_t)0xd3cc,
+ (q15_t)0x781d, (q15_t)0xd3c6, (q15_t)0x781b, (q15_t)0xd3c0, (q15_t)0x7819, (q15_t)0xd3ba, (q15_t)0x7817, (q15_t)0xd3b4,
+ (q15_t)0x7814, (q15_t)0xd3ae, (q15_t)0x7812, (q15_t)0xd3a8, (q15_t)0x7810, (q15_t)0xd3a2, (q15_t)0x780e, (q15_t)0xd39d,
+ (q15_t)0x780c, (q15_t)0xd397, (q15_t)0x780a, (q15_t)0xd391, (q15_t)0x7807, (q15_t)0xd38b, (q15_t)0x7805, (q15_t)0xd385,
+ (q15_t)0x7803, (q15_t)0xd37f, (q15_t)0x7801, (q15_t)0xd379, (q15_t)0x77ff, (q15_t)0xd373, (q15_t)0x77fc, (q15_t)0xd36d,
+ (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77f8, (q15_t)0xd362, (q15_t)0x77f6, (q15_t)0xd35c, (q15_t)0x77f4, (q15_t)0xd356,
+ (q15_t)0x77f1, (q15_t)0xd350, (q15_t)0x77ef, (q15_t)0xd34a, (q15_t)0x77ed, (q15_t)0xd344, (q15_t)0x77eb, (q15_t)0xd33e,
+ (q15_t)0x77e9, (q15_t)0xd338, (q15_t)0x77e6, (q15_t)0xd333, (q15_t)0x77e4, (q15_t)0xd32d, (q15_t)0x77e2, (q15_t)0xd327,
+ (q15_t)0x77e0, (q15_t)0xd321, (q15_t)0x77de, (q15_t)0xd31b, (q15_t)0x77db, (q15_t)0xd315, (q15_t)0x77d9, (q15_t)0xd30f,
+ (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77d5, (q15_t)0xd303, (q15_t)0x77d3, (q15_t)0xd2fe, (q15_t)0x77d0, (q15_t)0xd2f8,
+ (q15_t)0x77ce, (q15_t)0xd2f2, (q15_t)0x77cc, (q15_t)0xd2ec, (q15_t)0x77ca, (q15_t)0xd2e6, (q15_t)0x77c8, (q15_t)0xd2e0,
+ (q15_t)0x77c5, (q15_t)0xd2da, (q15_t)0x77c3, (q15_t)0xd2d4, (q15_t)0x77c1, (q15_t)0xd2cf, (q15_t)0x77bf, (q15_t)0xd2c9,
+ (q15_t)0x77bc, (q15_t)0xd2c3, (q15_t)0x77ba, (q15_t)0xd2bd, (q15_t)0x77b8, (q15_t)0xd2b7, (q15_t)0x77b6, (q15_t)0xd2b1,
+ (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x77b1, (q15_t)0xd2a5, (q15_t)0x77af, (q15_t)0xd2a0, (q15_t)0x77ad, (q15_t)0xd29a,
+ (q15_t)0x77ab, (q15_t)0xd294, (q15_t)0x77a8, (q15_t)0xd28e, (q15_t)0x77a6, (q15_t)0xd288, (q15_t)0x77a4, (q15_t)0xd282,
+ (q15_t)0x77a2, (q15_t)0xd27c, (q15_t)0x77a0, (q15_t)0xd276, (q15_t)0x779d, (q15_t)0xd271, (q15_t)0x779b, (q15_t)0xd26b,
+ (q15_t)0x7799, (q15_t)0xd265, (q15_t)0x7797, (q15_t)0xd25f, (q15_t)0x7794, (q15_t)0xd259, (q15_t)0x7792, (q15_t)0xd253,
+ (q15_t)0x7790, (q15_t)0xd24d, (q15_t)0x778e, (q15_t)0xd247, (q15_t)0x778b, (q15_t)0xd242, (q15_t)0x7789, (q15_t)0xd23c,
+ (q15_t)0x7787, (q15_t)0xd236, (q15_t)0x7785, (q15_t)0xd230, (q15_t)0x7782, (q15_t)0xd22a, (q15_t)0x7780, (q15_t)0xd224,
+ (q15_t)0x777e, (q15_t)0xd21e, (q15_t)0x777c, (q15_t)0xd219, (q15_t)0x7779, (q15_t)0xd213, (q15_t)0x7777, (q15_t)0xd20d,
+ (q15_t)0x7775, (q15_t)0xd207, (q15_t)0x7773, (q15_t)0xd201, (q15_t)0x7770, (q15_t)0xd1fb, (q15_t)0x776e, (q15_t)0xd1f5,
+ (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x776a, (q15_t)0xd1ea, (q15_t)0x7767, (q15_t)0xd1e4, (q15_t)0x7765, (q15_t)0xd1de,
+ (q15_t)0x7763, (q15_t)0xd1d8, (q15_t)0x7760, (q15_t)0xd1d2, (q15_t)0x775e, (q15_t)0xd1cc, (q15_t)0x775c, (q15_t)0xd1c6,
+ (q15_t)0x775a, (q15_t)0xd1c1, (q15_t)0x7757, (q15_t)0xd1bb, (q15_t)0x7755, (q15_t)0xd1b5, (q15_t)0x7753, (q15_t)0xd1af,
+ (q15_t)0x7751, (q15_t)0xd1a9, (q15_t)0x774e, (q15_t)0xd1a3, (q15_t)0x774c, (q15_t)0xd19d, (q15_t)0x774a, (q15_t)0xd198,
+ (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7745, (q15_t)0xd18c, (q15_t)0x7743, (q15_t)0xd186, (q15_t)0x7741, (q15_t)0xd180,
+ (q15_t)0x773e, (q15_t)0xd17a, (q15_t)0x773c, (q15_t)0xd174, (q15_t)0x773a, (q15_t)0xd16f, (q15_t)0x7738, (q15_t)0xd169,
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+ (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x7721, (q15_t)0xd12e, (q15_t)0x771e, (q15_t)0xd128, (q15_t)0x771c, (q15_t)0xd123,
+ (q15_t)0x771a, (q15_t)0xd11d, (q15_t)0x7717, (q15_t)0xd117, (q15_t)0x7715, (q15_t)0xd111, (q15_t)0x7713, (q15_t)0xd10b,
+ (q15_t)0x7710, (q15_t)0xd105, (q15_t)0x770e, (q15_t)0xd0ff, (q15_t)0x770c, (q15_t)0xd0fa, (q15_t)0x770a, (q15_t)0xd0f4,
+ (q15_t)0x7707, (q15_t)0xd0ee, (q15_t)0x7705, (q15_t)0xd0e8, (q15_t)0x7703, (q15_t)0xd0e2, (q15_t)0x7700, (q15_t)0xd0dc,
+ (q15_t)0x76fe, (q15_t)0xd0d7, (q15_t)0x76fc, (q15_t)0xd0d1, (q15_t)0x76f9, (q15_t)0xd0cb, (q15_t)0x76f7, (q15_t)0xd0c5,
+ (q15_t)0x76f5, (q15_t)0xd0bf, (q15_t)0x76f2, (q15_t)0xd0b9, (q15_t)0x76f0, (q15_t)0xd0b4, (q15_t)0x76ee, (q15_t)0xd0ae,
+ (q15_t)0x76eb, (q15_t)0xd0a8, (q15_t)0x76e9, (q15_t)0xd0a2, (q15_t)0x76e7, (q15_t)0xd09c, (q15_t)0x76e4, (q15_t)0xd096,
+ (q15_t)0x76e2, (q15_t)0xd091, (q15_t)0x76e0, (q15_t)0xd08b, (q15_t)0x76dd, (q15_t)0xd085, (q15_t)0x76db, (q15_t)0xd07f,
+ (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76d6, (q15_t)0xd073, (q15_t)0x76d4, (q15_t)0xd06e, (q15_t)0x76d2, (q15_t)0xd068,
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+ (q15_t)0x749e, (q15_t)0xcb3c, (q15_t)0x749b, (q15_t)0xcb36, (q15_t)0x7498, (q15_t)0xcb31, (q15_t)0x7496, (q15_t)0xcb2b,
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+ (q15_t)0x7474, (q15_t)0xcae1, (q15_t)0x7471, (q15_t)0xcadb, (q15_t)0x746f, (q15_t)0xcad5, (q15_t)0x746c, (q15_t)0xcad0,
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+ (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71f7, (q15_t)0xc5bb, (q15_t)0x71f4, (q15_t)0xc5b5, (q15_t)0x71f1, (q15_t)0xc5b0,
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+ (q15_t)0x71d7, (q15_t)0xc57d, (q15_t)0x71d4, (q15_t)0xc578, (q15_t)0x71d2, (q15_t)0xc572, (q15_t)0x71cf, (q15_t)0xc56c,
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+ (q15_t)0x7186, (q15_t)0xc4e1, (q15_t)0x7184, (q15_t)0xc4db, (q15_t)0x7181, (q15_t)0xc4d6, (q15_t)0x717e, (q15_t)0xc4d0,
+ (q15_t)0x717b, (q15_t)0xc4cb, (q15_t)0x7178, (q15_t)0xc4c5, (q15_t)0x7175, (q15_t)0xc4c0, (q15_t)0x7172, (q15_t)0xc4ba,
+ (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x716c, (q15_t)0xc4af, (q15_t)0x7169, (q15_t)0xc4a9, (q15_t)0x7167, (q15_t)0xc4a4,
+ (q15_t)0x7164, (q15_t)0xc49e, (q15_t)0x7161, (q15_t)0xc499, (q15_t)0x715e, (q15_t)0xc493, (q15_t)0x715b, (q15_t)0xc48d,
+ (q15_t)0x7158, (q15_t)0xc488, (q15_t)0x7155, (q15_t)0xc482, (q15_t)0x7152, (q15_t)0xc47d, (q15_t)0x714f, (q15_t)0xc477,
+ (q15_t)0x714c, (q15_t)0xc472, (q15_t)0x7149, (q15_t)0xc46c, (q15_t)0x7146, (q15_t)0xc467, (q15_t)0x7143, (q15_t)0xc461,
+ (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x713e, (q15_t)0xc456, (q15_t)0x713b, (q15_t)0xc450, (q15_t)0x7138, (q15_t)0xc44b,
+ (q15_t)0x7135, (q15_t)0xc445, (q15_t)0x7132, (q15_t)0xc440, (q15_t)0x712f, (q15_t)0xc43a, (q15_t)0x712c, (q15_t)0xc434,
+ (q15_t)0x7129, (q15_t)0xc42f, (q15_t)0x7126, (q15_t)0xc429, (q15_t)0x7123, (q15_t)0xc424, (q15_t)0x7120, (q15_t)0xc41e,
+ (q15_t)0x711d, (q15_t)0xc419, (q15_t)0x711a, (q15_t)0xc413, (q15_t)0x7117, (q15_t)0xc40e, (q15_t)0x7114, (q15_t)0xc408,
+ (q15_t)0x7112, (q15_t)0xc403, (q15_t)0x710f, (q15_t)0xc3fd, (q15_t)0x710c, (q15_t)0xc3f7, (q15_t)0x7109, (q15_t)0xc3f2,
+ (q15_t)0x7106, (q15_t)0xc3ec, (q15_t)0x7103, (q15_t)0xc3e7, (q15_t)0x7100, (q15_t)0xc3e1, (q15_t)0x70fd, (q15_t)0xc3dc,
+ (q15_t)0x70fa, (q15_t)0xc3d6, (q15_t)0x70f7, (q15_t)0xc3d1, (q15_t)0x70f4, (q15_t)0xc3cb, (q15_t)0x70f1, (q15_t)0xc3c5,
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+ (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70df, (q15_t)0xc3a4, (q15_t)0x70dc, (q15_t)0xc39f, (q15_t)0x70d9, (q15_t)0xc399,
+ (q15_t)0x70d6, (q15_t)0xc394, (q15_t)0x70d3, (q15_t)0xc38e, (q15_t)0x70d1, (q15_t)0xc389, (q15_t)0x70ce, (q15_t)0xc383,
+ (q15_t)0x70cb, (q15_t)0xc37d, (q15_t)0x70c8, (q15_t)0xc378, (q15_t)0x70c5, (q15_t)0xc372, (q15_t)0x70c2, (q15_t)0xc36d,
+ (q15_t)0x70bf, (q15_t)0xc367, (q15_t)0x70bc, (q15_t)0xc362, (q15_t)0x70b9, (q15_t)0xc35c, (q15_t)0x70b6, (q15_t)0xc357,
+ (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x70b0, (q15_t)0xc34c, (q15_t)0x70ad, (q15_t)0xc346, (q15_t)0x70aa, (q15_t)0xc341,
+ (q15_t)0x70a7, (q15_t)0xc33b, (q15_t)0x70a4, (q15_t)0xc336, (q15_t)0x70a1, (q15_t)0xc330, (q15_t)0x709e, (q15_t)0xc32a,
+ (q15_t)0x709b, (q15_t)0xc325, (q15_t)0x7098, (q15_t)0xc31f, (q15_t)0x7095, (q15_t)0xc31a, (q15_t)0x7092, (q15_t)0xc314,
+ (q15_t)0x708f, (q15_t)0xc30f, (q15_t)0x708c, (q15_t)0xc309, (q15_t)0x7089, (q15_t)0xc304, (q15_t)0x7086, (q15_t)0xc2fe,
+ (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7080, (q15_t)0xc2f3, (q15_t)0x707d, (q15_t)0xc2ee, (q15_t)0x707a, (q15_t)0xc2e8,
+ (q15_t)0x7077, (q15_t)0xc2e3, (q15_t)0x7074, (q15_t)0xc2dd, (q15_t)0x7071, (q15_t)0xc2d8, (q15_t)0x706e, (q15_t)0xc2d2,
+ (q15_t)0x706b, (q15_t)0xc2cd, (q15_t)0x7068, (q15_t)0xc2c7, (q15_t)0x7065, (q15_t)0xc2c2, (q15_t)0x7062, (q15_t)0xc2bc,
+ (q15_t)0x705f, (q15_t)0xc2b7, (q15_t)0x705c, (q15_t)0xc2b1, (q15_t)0x7059, (q15_t)0xc2ab, (q15_t)0x7056, (q15_t)0xc2a6,
+ (q15_t)0x7053, (q15_t)0xc2a0, (q15_t)0x7050, (q15_t)0xc29b, (q15_t)0x704d, (q15_t)0xc295, (q15_t)0x704a, (q15_t)0xc290,
+ (q15_t)0x7047, (q15_t)0xc28a, (q15_t)0x7044, (q15_t)0xc285, (q15_t)0x7041, (q15_t)0xc27f, (q15_t)0x703e, (q15_t)0xc27a,
+ (q15_t)0x703b, (q15_t)0xc274, (q15_t)0x7038, (q15_t)0xc26f, (q15_t)0x7035, (q15_t)0xc269, (q15_t)0x7032, (q15_t)0xc264,
+ (q15_t)0x702f, (q15_t)0xc25e, (q15_t)0x702c, (q15_t)0xc259, (q15_t)0x7029, (q15_t)0xc253, (q15_t)0x7026, (q15_t)0xc24e,
+ (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x7020, (q15_t)0xc243, (q15_t)0x701d, (q15_t)0xc23d, (q15_t)0x7019, (q15_t)0xc238,
+ (q15_t)0x7016, (q15_t)0xc232, (q15_t)0x7013, (q15_t)0xc22d, (q15_t)0x7010, (q15_t)0xc227, (q15_t)0x700d, (q15_t)0xc222,
+ (q15_t)0x700a, (q15_t)0xc21c, (q15_t)0x7007, (q15_t)0xc217, (q15_t)0x7004, (q15_t)0xc211, (q15_t)0x7001, (q15_t)0xc20c,
+ (q15_t)0x6ffe, (q15_t)0xc206, (q15_t)0x6ffb, (q15_t)0xc201, (q15_t)0x6ff8, (q15_t)0xc1fb, (q15_t)0x6ff5, (q15_t)0xc1f6,
+ (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fef, (q15_t)0xc1eb, (q15_t)0x6fec, (q15_t)0xc1e5, (q15_t)0x6fe9, (q15_t)0xc1e0,
+ (q15_t)0x6fe6, (q15_t)0xc1da, (q15_t)0x6fe3, (q15_t)0xc1d5, (q15_t)0x6fe0, (q15_t)0xc1cf, (q15_t)0x6fdd, (q15_t)0xc1ca,
+ (q15_t)0x6fda, (q15_t)0xc1c4, (q15_t)0x6fd6, (q15_t)0xc1bf, (q15_t)0x6fd3, (q15_t)0xc1b9, (q15_t)0x6fd0, (q15_t)0xc1b4,
+ (q15_t)0x6fcd, (q15_t)0xc1ae, (q15_t)0x6fca, (q15_t)0xc1a9, (q15_t)0x6fc7, (q15_t)0xc1a3, (q15_t)0x6fc4, (q15_t)0xc19e,
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+ (q15_t)0x6fa9, (q15_t)0xc16d, (q15_t)0x6fa5, (q15_t)0xc167, (q15_t)0x6fa2, (q15_t)0xc162, (q15_t)0x6f9f, (q15_t)0xc15c,
+ (q15_t)0x6f9c, (q15_t)0xc157, (q15_t)0x6f99, (q15_t)0xc151, (q15_t)0x6f96, (q15_t)0xc14c, (q15_t)0x6f93, (q15_t)0xc146,
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+ (q15_t)0x6f84, (q15_t)0xc12b, (q15_t)0x6f81, (q15_t)0xc125, (q15_t)0x6f7d, (q15_t)0xc120, (q15_t)0x6f7a, (q15_t)0xc11a,
+ (q15_t)0x6f77, (q15_t)0xc115, (q15_t)0x6f74, (q15_t)0xc10f, (q15_t)0x6f71, (q15_t)0xc10a, (q15_t)0x6f6e, (q15_t)0xc105,
+ (q15_t)0x6f6b, (q15_t)0xc0ff, (q15_t)0x6f68, (q15_t)0xc0fa, (q15_t)0x6f65, (q15_t)0xc0f4, (q15_t)0x6f62, (q15_t)0xc0ef,
+ (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f5b, (q15_t)0xc0e4, (q15_t)0x6f58, (q15_t)0xc0de, (q15_t)0x6f55, (q15_t)0xc0d9,
+ (q15_t)0x6f52, (q15_t)0xc0d3, (q15_t)0x6f4f, (q15_t)0xc0ce, (q15_t)0x6f4c, (q15_t)0xc0c8, (q15_t)0x6f49, (q15_t)0xc0c3,
+ (q15_t)0x6f46, (q15_t)0xc0bd, (q15_t)0x6f43, (q15_t)0xc0b8, (q15_t)0x6f3f, (q15_t)0xc0b3, (q15_t)0x6f3c, (q15_t)0xc0ad,
+ (q15_t)0x6f39, (q15_t)0xc0a8, (q15_t)0x6f36, (q15_t)0xc0a2, (q15_t)0x6f33, (q15_t)0xc09d, (q15_t)0x6f30, (q15_t)0xc097,
+ (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6f2a, (q15_t)0xc08c, (q15_t)0x6f27, (q15_t)0xc087, (q15_t)0x6f23, (q15_t)0xc081,
+ (q15_t)0x6f20, (q15_t)0xc07c, (q15_t)0x6f1d, (q15_t)0xc077, (q15_t)0x6f1a, (q15_t)0xc071, (q15_t)0x6f17, (q15_t)0xc06c,
+ (q15_t)0x6f14, (q15_t)0xc066, (q15_t)0x6f11, (q15_t)0xc061, (q15_t)0x6f0e, (q15_t)0xc05b, (q15_t)0x6f0b, (q15_t)0xc056,
+ (q15_t)0x6f07, (q15_t)0xc050, (q15_t)0x6f04, (q15_t)0xc04b, (q15_t)0x6f01, (q15_t)0xc045, (q15_t)0x6efe, (q15_t)0xc040,
+ (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6ef8, (q15_t)0xc035, (q15_t)0x6ef5, (q15_t)0xc030, (q15_t)0x6ef1, (q15_t)0xc02a,
+ (q15_t)0x6eee, (q15_t)0xc025, (q15_t)0x6eeb, (q15_t)0xc01f, (q15_t)0x6ee8, (q15_t)0xc01a, (q15_t)0x6ee5, (q15_t)0xc014,
+ (q15_t)0x6ee2, (q15_t)0xc00f, (q15_t)0x6edf, (q15_t)0xc00a, (q15_t)0x6edc, (q15_t)0xc004, (q15_t)0x6ed8, (q15_t)0xbfff,
+ (q15_t)0x6ed5, (q15_t)0xbff9, (q15_t)0x6ed2, (q15_t)0xbff4, (q15_t)0x6ecf, (q15_t)0xbfee, (q15_t)0x6ecc, (q15_t)0xbfe9,
+ (q15_t)0x6ec9, (q15_t)0xbfe3, (q15_t)0x6ec6, (q15_t)0xbfde, (q15_t)0x6ec2, (q15_t)0xbfd9, (q15_t)0x6ebf, (q15_t)0xbfd3,
+ (q15_t)0x6ebc, (q15_t)0xbfce, (q15_t)0x6eb9, (q15_t)0xbfc8, (q15_t)0x6eb6, (q15_t)0xbfc3, (q15_t)0x6eb3, (q15_t)0xbfbd,
+ (q15_t)0x6eaf, (q15_t)0xbfb8, (q15_t)0x6eac, (q15_t)0xbfb3, (q15_t)0x6ea9, (q15_t)0xbfad, (q15_t)0x6ea6, (q15_t)0xbfa8,
+ (q15_t)0x6ea3, (q15_t)0xbfa2, (q15_t)0x6ea0, (q15_t)0xbf9d, (q15_t)0x6e9c, (q15_t)0xbf97, (q15_t)0x6e99, (q15_t)0xbf92,
+ (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e93, (q15_t)0xbf87, (q15_t)0x6e90, (q15_t)0xbf82, (q15_t)0x6e8d, (q15_t)0xbf7c,
+ (q15_t)0x6e89, (q15_t)0xbf77, (q15_t)0x6e86, (q15_t)0xbf71, (q15_t)0x6e83, (q15_t)0xbf6c, (q15_t)0x6e80, (q15_t)0xbf67,
+ (q15_t)0x6e7d, (q15_t)0xbf61, (q15_t)0x6e7a, (q15_t)0xbf5c, (q15_t)0x6e76, (q15_t)0xbf56, (q15_t)0x6e73, (q15_t)0xbf51,
+ (q15_t)0x6e70, (q15_t)0xbf4b, (q15_t)0x6e6d, (q15_t)0xbf46, (q15_t)0x6e6a, (q15_t)0xbf41, (q15_t)0x6e67, (q15_t)0xbf3b,
+ (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e60, (q15_t)0xbf30, (q15_t)0x6e5d, (q15_t)0xbf2b, (q15_t)0x6e5a, (q15_t)0xbf26,
+ (q15_t)0x6e57, (q15_t)0xbf20, (q15_t)0x6e53, (q15_t)0xbf1b, (q15_t)0x6e50, (q15_t)0xbf15, (q15_t)0x6e4d, (q15_t)0xbf10,
+ (q15_t)0x6e4a, (q15_t)0xbf0a, (q15_t)0x6e47, (q15_t)0xbf05, (q15_t)0x6e44, (q15_t)0xbf00, (q15_t)0x6e40, (q15_t)0xbefa,
+ (q15_t)0x6e3d, (q15_t)0xbef5, (q15_t)0x6e3a, (q15_t)0xbeef, (q15_t)0x6e37, (q15_t)0xbeea, (q15_t)0x6e34, (q15_t)0xbee5,
+ (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6e2d, (q15_t)0xbeda, (q15_t)0x6e2a, (q15_t)0xbed4, (q15_t)0x6e27, (q15_t)0xbecf,
+ (q15_t)0x6e24, (q15_t)0xbeca, (q15_t)0x6e20, (q15_t)0xbec4, (q15_t)0x6e1d, (q15_t)0xbebf, (q15_t)0x6e1a, (q15_t)0xbeb9,
+ (q15_t)0x6e17, (q15_t)0xbeb4, (q15_t)0x6e14, (q15_t)0xbeae, (q15_t)0x6e10, (q15_t)0xbea9, (q15_t)0x6e0d, (q15_t)0xbea4,
+ (q15_t)0x6e0a, (q15_t)0xbe9e, (q15_t)0x6e07, (q15_t)0xbe99, (q15_t)0x6e04, (q15_t)0xbe93, (q15_t)0x6e00, (q15_t)0xbe8e,
+ (q15_t)0x6dfd, (q15_t)0xbe89, (q15_t)0x6dfa, (q15_t)0xbe83, (q15_t)0x6df7, (q15_t)0xbe7e, (q15_t)0x6df3, (q15_t)0xbe78,
+ (q15_t)0x6df0, (q15_t)0xbe73, (q15_t)0x6ded, (q15_t)0xbe6e, (q15_t)0x6dea, (q15_t)0xbe68, (q15_t)0x6de7, (q15_t)0xbe63,
+ (q15_t)0x6de3, (q15_t)0xbe5e, (q15_t)0x6de0, (q15_t)0xbe58, (q15_t)0x6ddd, (q15_t)0xbe53, (q15_t)0x6dda, (q15_t)0xbe4d,
+ (q15_t)0x6dd6, (q15_t)0xbe48, (q15_t)0x6dd3, (q15_t)0xbe43, (q15_t)0x6dd0, (q15_t)0xbe3d, (q15_t)0x6dcd, (q15_t)0xbe38,
+ (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6dc6, (q15_t)0xbe2d, (q15_t)0x6dc3, (q15_t)0xbe28, (q15_t)0x6dc0, (q15_t)0xbe22,
+ (q15_t)0x6dbd, (q15_t)0xbe1d, (q15_t)0x6db9, (q15_t)0xbe17, (q15_t)0x6db6, (q15_t)0xbe12, (q15_t)0x6db3, (q15_t)0xbe0d,
+ (q15_t)0x6db0, (q15_t)0xbe07, (q15_t)0x6dac, (q15_t)0xbe02, (q15_t)0x6da9, (q15_t)0xbdfd, (q15_t)0x6da6, (q15_t)0xbdf7,
+ (q15_t)0x6da3, (q15_t)0xbdf2, (q15_t)0x6d9f, (q15_t)0xbdec, (q15_t)0x6d9c, (q15_t)0xbde7, (q15_t)0x6d99, (q15_t)0xbde2,
+ (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d92, (q15_t)0xbdd7, (q15_t)0x6d8f, (q15_t)0xbdd1, (q15_t)0x6d8c, (q15_t)0xbdcc,
+ (q15_t)0x6d89, (q15_t)0xbdc7, (q15_t)0x6d85, (q15_t)0xbdc1, (q15_t)0x6d82, (q15_t)0xbdbc, (q15_t)0x6d7f, (q15_t)0xbdb7,
+ (q15_t)0x6d7c, (q15_t)0xbdb1, (q15_t)0x6d78, (q15_t)0xbdac, (q15_t)0x6d75, (q15_t)0xbda6, (q15_t)0x6d72, (q15_t)0xbda1,
+ (q15_t)0x6d6f, (q15_t)0xbd9c, (q15_t)0x6d6b, (q15_t)0xbd96, (q15_t)0x6d68, (q15_t)0xbd91, (q15_t)0x6d65, (q15_t)0xbd8c,
+ (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d5e, (q15_t)0xbd81, (q15_t)0x6d5b, (q15_t)0xbd7c, (q15_t)0x6d58, (q15_t)0xbd76,
+ (q15_t)0x6d55, (q15_t)0xbd71, (q15_t)0x6d51, (q15_t)0xbd6b, (q15_t)0x6d4e, (q15_t)0xbd66, (q15_t)0x6d4b, (q15_t)0xbd61,
+ (q15_t)0x6d48, (q15_t)0xbd5b, (q15_t)0x6d44, (q15_t)0xbd56, (q15_t)0x6d41, (q15_t)0xbd51, (q15_t)0x6d3e, (q15_t)0xbd4b,
+ (q15_t)0x6d3a, (q15_t)0xbd46, (q15_t)0x6d37, (q15_t)0xbd40, (q15_t)0x6d34, (q15_t)0xbd3b, (q15_t)0x6d31, (q15_t)0xbd36,
+ (q15_t)0x6d2d, (q15_t)0xbd30, (q15_t)0x6d2a, (q15_t)0xbd2b, (q15_t)0x6d27, (q15_t)0xbd26, (q15_t)0x6d23, (q15_t)0xbd20,
+ (q15_t)0x6d20, (q15_t)0xbd1b, (q15_t)0x6d1d, (q15_t)0xbd16, (q15_t)0x6d1a, (q15_t)0xbd10, (q15_t)0x6d16, (q15_t)0xbd0b,
+ (q15_t)0x6d13, (q15_t)0xbd06, (q15_t)0x6d10, (q15_t)0xbd00, (q15_t)0x6d0c, (q15_t)0xbcfb, (q15_t)0x6d09, (q15_t)0xbcf5,
+ (q15_t)0x6d06, (q15_t)0xbcf0, (q15_t)0x6d03, (q15_t)0xbceb, (q15_t)0x6cff, (q15_t)0xbce5, (q15_t)0x6cfc, (q15_t)0xbce0,
+ (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cf5, (q15_t)0xbcd5, (q15_t)0x6cf2, (q15_t)0xbcd0, (q15_t)0x6cef, (q15_t)0xbccb,
+ (q15_t)0x6cec, (q15_t)0xbcc5, (q15_t)0x6ce8, (q15_t)0xbcc0, (q15_t)0x6ce5, (q15_t)0xbcbb, (q15_t)0x6ce2, (q15_t)0xbcb5,
+ (q15_t)0x6cde, (q15_t)0xbcb0, (q15_t)0x6cdb, (q15_t)0xbcab, (q15_t)0x6cd8, (q15_t)0xbca5, (q15_t)0x6cd4, (q15_t)0xbca0,
+ (q15_t)0x6cd1, (q15_t)0xbc9b, (q15_t)0x6cce, (q15_t)0xbc95, (q15_t)0x6cca, (q15_t)0xbc90, (q15_t)0x6cc7, (q15_t)0xbc8b,
+ (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6cc1, (q15_t)0xbc80, (q15_t)0x6cbd, (q15_t)0xbc7b, (q15_t)0x6cba, (q15_t)0xbc75,
+ (q15_t)0x6cb7, (q15_t)0xbc70, (q15_t)0x6cb3, (q15_t)0xbc6b, (q15_t)0x6cb0, (q15_t)0xbc65, (q15_t)0x6cad, (q15_t)0xbc60,
+ (q15_t)0x6ca9, (q15_t)0xbc5b, (q15_t)0x6ca6, (q15_t)0xbc55, (q15_t)0x6ca3, (q15_t)0xbc50, (q15_t)0x6c9f, (q15_t)0xbc4b,
+ (q15_t)0x6c9c, (q15_t)0xbc45, (q15_t)0x6c99, (q15_t)0xbc40, (q15_t)0x6c95, (q15_t)0xbc3b, (q15_t)0x6c92, (q15_t)0xbc35,
+ (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c8b, (q15_t)0xbc2b, (q15_t)0x6c88, (q15_t)0xbc25, (q15_t)0x6c85, (q15_t)0xbc20,
+ (q15_t)0x6c81, (q15_t)0xbc1b, (q15_t)0x6c7e, (q15_t)0xbc15, (q15_t)0x6c7b, (q15_t)0xbc10, (q15_t)0x6c77, (q15_t)0xbc0b,
+ (q15_t)0x6c74, (q15_t)0xbc05, (q15_t)0x6c71, (q15_t)0xbc00, (q15_t)0x6c6d, (q15_t)0xbbfb, (q15_t)0x6c6a, (q15_t)0xbbf5,
+ (q15_t)0x6c67, (q15_t)0xbbf0, (q15_t)0x6c63, (q15_t)0xbbeb, (q15_t)0x6c60, (q15_t)0xbbe5, (q15_t)0x6c5d, (q15_t)0xbbe0,
+ (q15_t)0x6c59, (q15_t)0xbbdb, (q15_t)0x6c56, (q15_t)0xbbd5, (q15_t)0x6c53, (q15_t)0xbbd0, (q15_t)0x6c4f, (q15_t)0xbbcb,
+ (q15_t)0x6c4c, (q15_t)0xbbc5, (q15_t)0x6c49, (q15_t)0xbbc0, (q15_t)0x6c45, (q15_t)0xbbbb, (q15_t)0x6c42, (q15_t)0xbbb5,
+ (q15_t)0x6c3f, (q15_t)0xbbb0, (q15_t)0x6c3b, (q15_t)0xbbab, (q15_t)0x6c38, (q15_t)0xbba6, (q15_t)0x6c34, (q15_t)0xbba0,
+ (q15_t)0x6c31, (q15_t)0xbb9b, (q15_t)0x6c2e, (q15_t)0xbb96, (q15_t)0x6c2a, (q15_t)0xbb90, (q15_t)0x6c27, (q15_t)0xbb8b,
+ (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6c20, (q15_t)0xbb80, (q15_t)0x6c1d, (q15_t)0xbb7b, (q15_t)0x6c1a, (q15_t)0xbb76,
+ (q15_t)0x6c16, (q15_t)0xbb70, (q15_t)0x6c13, (q15_t)0xbb6b, (q15_t)0x6c0f, (q15_t)0xbb66, (q15_t)0x6c0c, (q15_t)0xbb61,
+ (q15_t)0x6c09, (q15_t)0xbb5b, (q15_t)0x6c05, (q15_t)0xbb56, (q15_t)0x6c02, (q15_t)0xbb51, (q15_t)0x6bff, (q15_t)0xbb4b,
+ (q15_t)0x6bfb, (q15_t)0xbb46, (q15_t)0x6bf8, (q15_t)0xbb41, (q15_t)0x6bf5, (q15_t)0xbb3b, (q15_t)0x6bf1, (q15_t)0xbb36,
+ (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6bea, (q15_t)0xbb2c, (q15_t)0x6be7, (q15_t)0xbb26, (q15_t)0x6be4, (q15_t)0xbb21,
+ (q15_t)0x6be0, (q15_t)0xbb1c, (q15_t)0x6bdd, (q15_t)0xbb16, (q15_t)0x6bd9, (q15_t)0xbb11, (q15_t)0x6bd6, (q15_t)0xbb0c,
+ (q15_t)0x6bd3, (q15_t)0xbb06, (q15_t)0x6bcf, (q15_t)0xbb01, (q15_t)0x6bcc, (q15_t)0xbafc, (q15_t)0x6bc9, (q15_t)0xbaf7,
+ (q15_t)0x6bc5, (q15_t)0xbaf1, (q15_t)0x6bc2, (q15_t)0xbaec, (q15_t)0x6bbe, (q15_t)0xbae7, (q15_t)0x6bbb, (q15_t)0xbae1,
+ (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6bb4, (q15_t)0xbad7, (q15_t)0x6bb1, (q15_t)0xbad2, (q15_t)0x6bad, (q15_t)0xbacc,
+ (q15_t)0x6baa, (q15_t)0xbac7, (q15_t)0x6ba7, (q15_t)0xbac2, (q15_t)0x6ba3, (q15_t)0xbabc, (q15_t)0x6ba0, (q15_t)0xbab7,
+ (q15_t)0x6b9c, (q15_t)0xbab2, (q15_t)0x6b99, (q15_t)0xbaad, (q15_t)0x6b96, (q15_t)0xbaa7, (q15_t)0x6b92, (q15_t)0xbaa2,
+ (q15_t)0x6b8f, (q15_t)0xba9d, (q15_t)0x6b8b, (q15_t)0xba97, (q15_t)0x6b88, (q15_t)0xba92, (q15_t)0x6b85, (q15_t)0xba8d,
+ (q15_t)0x6b81, (q15_t)0xba88, (q15_t)0x6b7e, (q15_t)0xba82, (q15_t)0x6b7a, (q15_t)0xba7d, (q15_t)0x6b77, (q15_t)0xba78,
+ (q15_t)0x6b73, (q15_t)0xba73, (q15_t)0x6b70, (q15_t)0xba6d, (q15_t)0x6b6d, (q15_t)0xba68, (q15_t)0x6b69, (q15_t)0xba63,
+ (q15_t)0x6b66, (q15_t)0xba5d, (q15_t)0x6b62, (q15_t)0xba58, (q15_t)0x6b5f, (q15_t)0xba53, (q15_t)0x6b5c, (q15_t)0xba4e,
+ (q15_t)0x6b58, (q15_t)0xba48, (q15_t)0x6b55, (q15_t)0xba43, (q15_t)0x6b51, (q15_t)0xba3e, (q15_t)0x6b4e, (q15_t)0xba39,
+ (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b47, (q15_t)0xba2e, (q15_t)0x6b44, (q15_t)0xba29, (q15_t)0x6b40, (q15_t)0xba23,
+ (q15_t)0x6b3d, (q15_t)0xba1e, (q15_t)0x6b39, (q15_t)0xba19, (q15_t)0x6b36, (q15_t)0xba14, (q15_t)0x6b32, (q15_t)0xba0e,
+ (q15_t)0x6b2f, (q15_t)0xba09, (q15_t)0x6b2c, (q15_t)0xba04, (q15_t)0x6b28, (q15_t)0xb9ff, (q15_t)0x6b25, (q15_t)0xb9f9,
+ (q15_t)0x6b21, (q15_t)0xb9f4, (q15_t)0x6b1e, (q15_t)0xb9ef, (q15_t)0x6b1a, (q15_t)0xb9ea, (q15_t)0x6b17, (q15_t)0xb9e4,
+ (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6b10, (q15_t)0xb9da, (q15_t)0x6b0d, (q15_t)0xb9d5, (q15_t)0x6b09, (q15_t)0xb9cf,
+ (q15_t)0x6b06, (q15_t)0xb9ca, (q15_t)0x6b02, (q15_t)0xb9c5, (q15_t)0x6aff, (q15_t)0xb9c0, (q15_t)0x6afb, (q15_t)0xb9ba,
+ (q15_t)0x6af8, (q15_t)0xb9b5, (q15_t)0x6af4, (q15_t)0xb9b0, (q15_t)0x6af1, (q15_t)0xb9ab, (q15_t)0x6aee, (q15_t)0xb9a5,
+ (q15_t)0x6aea, (q15_t)0xb9a0, (q15_t)0x6ae7, (q15_t)0xb99b, (q15_t)0x6ae3, (q15_t)0xb996, (q15_t)0x6ae0, (q15_t)0xb990,
+ (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6ad9, (q15_t)0xb986, (q15_t)0x6ad5, (q15_t)0xb981, (q15_t)0x6ad2, (q15_t)0xb97b,
+ (q15_t)0x6ace, (q15_t)0xb976, (q15_t)0x6acb, (q15_t)0xb971, (q15_t)0x6ac8, (q15_t)0xb96c, (q15_t)0x6ac4, (q15_t)0xb966,
+ (q15_t)0x6ac1, (q15_t)0xb961, (q15_t)0x6abd, (q15_t)0xb95c, (q15_t)0x6aba, (q15_t)0xb957, (q15_t)0x6ab6, (q15_t)0xb951,
+ (q15_t)0x6ab3, (q15_t)0xb94c, (q15_t)0x6aaf, (q15_t)0xb947, (q15_t)0x6aac, (q15_t)0xb942, (q15_t)0x6aa8, (q15_t)0xb93c,
+ (q15_t)0x6aa5, (q15_t)0xb937, (q15_t)0x6aa1, (q15_t)0xb932, (q15_t)0x6a9e, (q15_t)0xb92d, (q15_t)0x6a9a, (q15_t)0xb928,
+ (q15_t)0x6a97, (q15_t)0xb922, (q15_t)0x6a93, (q15_t)0xb91d, (q15_t)0x6a90, (q15_t)0xb918, (q15_t)0x6a8c, (q15_t)0xb913,
+ (q15_t)0x6a89, (q15_t)0xb90d, (q15_t)0x6a86, (q15_t)0xb908, (q15_t)0x6a82, (q15_t)0xb903, (q15_t)0x6a7f, (q15_t)0xb8fe,
+ (q15_t)0x6a7b, (q15_t)0xb8f8, (q15_t)0x6a78, (q15_t)0xb8f3, (q15_t)0x6a74, (q15_t)0xb8ee, (q15_t)0x6a71, (q15_t)0xb8e9,
+ (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a6a, (q15_t)0xb8de, (q15_t)0x6a66, (q15_t)0xb8d9, (q15_t)0x6a63, (q15_t)0xb8d4,
+ (q15_t)0x6a5f, (q15_t)0xb8cf, (q15_t)0x6a5c, (q15_t)0xb8c9, (q15_t)0x6a58, (q15_t)0xb8c4, (q15_t)0x6a55, (q15_t)0xb8bf,
+ (q15_t)0x6a51, (q15_t)0xb8ba, (q15_t)0x6a4e, (q15_t)0xb8b5, (q15_t)0x6a4a, (q15_t)0xb8af, (q15_t)0x6a47, (q15_t)0xb8aa,
+ (q15_t)0x6a43, (q15_t)0xb8a5, (q15_t)0x6a40, (q15_t)0xb8a0, (q15_t)0x6a3c, (q15_t)0xb89b, (q15_t)0x6a39, (q15_t)0xb895,
+ (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x6a32, (q15_t)0xb88b, (q15_t)0x6a2e, (q15_t)0xb886, (q15_t)0x6a2b, (q15_t)0xb880,
+ (q15_t)0x6a27, (q15_t)0xb87b, (q15_t)0x6a24, (q15_t)0xb876, (q15_t)0x6a20, (q15_t)0xb871, (q15_t)0x6a1d, (q15_t)0xb86c,
+ (q15_t)0x6a19, (q15_t)0xb866, (q15_t)0x6a16, (q15_t)0xb861, (q15_t)0x6a12, (q15_t)0xb85c, (q15_t)0x6a0e, (q15_t)0xb857,
+ (q15_t)0x6a0b, (q15_t)0xb852, (q15_t)0x6a07, (q15_t)0xb84c, (q15_t)0x6a04, (q15_t)0xb847, (q15_t)0x6a00, (q15_t)0xb842,
+ (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69f9, (q15_t)0xb838, (q15_t)0x69f6, (q15_t)0xb832, (q15_t)0x69f2, (q15_t)0xb82d,
+ (q15_t)0x69ef, (q15_t)0xb828, (q15_t)0x69eb, (q15_t)0xb823, (q15_t)0x69e8, (q15_t)0xb81e, (q15_t)0x69e4, (q15_t)0xb818,
+ (q15_t)0x69e1, (q15_t)0xb813, (q15_t)0x69dd, (q15_t)0xb80e, (q15_t)0x69da, (q15_t)0xb809, (q15_t)0x69d6, (q15_t)0xb804,
+ (q15_t)0x69d3, (q15_t)0xb7fe, (q15_t)0x69cf, (q15_t)0xb7f9, (q15_t)0x69cb, (q15_t)0xb7f4, (q15_t)0x69c8, (q15_t)0xb7ef,
+ (q15_t)0x69c4, (q15_t)0xb7ea, (q15_t)0x69c1, (q15_t)0xb7e4, (q15_t)0x69bd, (q15_t)0xb7df, (q15_t)0x69ba, (q15_t)0xb7da,
+ (q15_t)0x69b6, (q15_t)0xb7d5, (q15_t)0x69b3, (q15_t)0xb7d0, (q15_t)0x69af, (q15_t)0xb7ca, (q15_t)0x69ac, (q15_t)0xb7c5,
+ (q15_t)0x69a8, (q15_t)0xb7c0, (q15_t)0x69a5, (q15_t)0xb7bb, (q15_t)0x69a1, (q15_t)0xb7b6, (q15_t)0x699d, (q15_t)0xb7b1,
+ (q15_t)0x699a, (q15_t)0xb7ab, (q15_t)0x6996, (q15_t)0xb7a6, (q15_t)0x6993, (q15_t)0xb7a1, (q15_t)0x698f, (q15_t)0xb79c,
+ (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x6988, (q15_t)0xb791, (q15_t)0x6985, (q15_t)0xb78c, (q15_t)0x6981, (q15_t)0xb787,
+ (q15_t)0x697d, (q15_t)0xb782, (q15_t)0x697a, (q15_t)0xb77d, (q15_t)0x6976, (q15_t)0xb778, (q15_t)0x6973, (q15_t)0xb772,
+ (q15_t)0x696f, (q15_t)0xb76d, (q15_t)0x696c, (q15_t)0xb768, (q15_t)0x6968, (q15_t)0xb763, (q15_t)0x6964, (q15_t)0xb75e,
+ (q15_t)0x6961, (q15_t)0xb758, (q15_t)0x695d, (q15_t)0xb753, (q15_t)0x695a, (q15_t)0xb74e, (q15_t)0x6956, (q15_t)0xb749,
+ (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x694f, (q15_t)0xb73f, (q15_t)0x694b, (q15_t)0xb739, (q15_t)0x6948, (q15_t)0xb734,
+ (q15_t)0x6944, (q15_t)0xb72f, (q15_t)0x6941, (q15_t)0xb72a, (q15_t)0x693d, (q15_t)0xb725, (q15_t)0x693a, (q15_t)0xb720,
+ (q15_t)0x6936, (q15_t)0xb71a, (q15_t)0x6932, (q15_t)0xb715, (q15_t)0x692f, (q15_t)0xb710, (q15_t)0x692b, (q15_t)0xb70b,
+ (q15_t)0x6928, (q15_t)0xb706, (q15_t)0x6924, (q15_t)0xb701, (q15_t)0x6921, (q15_t)0xb6fb, (q15_t)0x691d, (q15_t)0xb6f6,
+ (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x6916, (q15_t)0xb6ec, (q15_t)0x6912, (q15_t)0xb6e7, (q15_t)0x690f, (q15_t)0xb6e2,
+ (q15_t)0x690b, (q15_t)0xb6dd, (q15_t)0x6907, (q15_t)0xb6d7, (q15_t)0x6904, (q15_t)0xb6d2, (q15_t)0x6900, (q15_t)0xb6cd,
+ (q15_t)0x68fd, (q15_t)0xb6c8, (q15_t)0x68f9, (q15_t)0xb6c3, (q15_t)0x68f5, (q15_t)0xb6be, (q15_t)0x68f2, (q15_t)0xb6b8,
+ (q15_t)0x68ee, (q15_t)0xb6b3, (q15_t)0x68eb, (q15_t)0xb6ae, (q15_t)0x68e7, (q15_t)0xb6a9, (q15_t)0x68e3, (q15_t)0xb6a4,
+ (q15_t)0x68e0, (q15_t)0xb69f, (q15_t)0x68dc, (q15_t)0xb69a, (q15_t)0x68d9, (q15_t)0xb694, (q15_t)0x68d5, (q15_t)0xb68f,
+ (q15_t)0x68d1, (q15_t)0xb68a, (q15_t)0x68ce, (q15_t)0xb685, (q15_t)0x68ca, (q15_t)0xb680, (q15_t)0x68c7, (q15_t)0xb67b,
+ (q15_t)0x68c3, (q15_t)0xb676, (q15_t)0x68bf, (q15_t)0xb670, (q15_t)0x68bc, (q15_t)0xb66b, (q15_t)0x68b8, (q15_t)0xb666,
+ (q15_t)0x68b5, (q15_t)0xb661, (q15_t)0x68b1, (q15_t)0xb65c, (q15_t)0x68ad, (q15_t)0xb657, (q15_t)0x68aa, (q15_t)0xb652,
+ (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x68a3, (q15_t)0xb647, (q15_t)0x689f, (q15_t)0xb642, (q15_t)0x689b, (q15_t)0xb63d,
+ (q15_t)0x6898, (q15_t)0xb638, (q15_t)0x6894, (q15_t)0xb633, (q15_t)0x6890, (q15_t)0xb62e, (q15_t)0x688d, (q15_t)0xb628,
+ (q15_t)0x6889, (q15_t)0xb623, (q15_t)0x6886, (q15_t)0xb61e, (q15_t)0x6882, (q15_t)0xb619, (q15_t)0x687e, (q15_t)0xb614,
+ (q15_t)0x687b, (q15_t)0xb60f, (q15_t)0x6877, (q15_t)0xb60a, (q15_t)0x6873, (q15_t)0xb605, (q15_t)0x6870, (q15_t)0xb5ff,
+ (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x6868, (q15_t)0xb5f5, (q15_t)0x6865, (q15_t)0xb5f0, (q15_t)0x6861, (q15_t)0xb5eb,
+ (q15_t)0x685e, (q15_t)0xb5e6, (q15_t)0x685a, (q15_t)0xb5e1, (q15_t)0x6856, (q15_t)0xb5dc, (q15_t)0x6853, (q15_t)0xb5d6,
+ (q15_t)0x684f, (q15_t)0xb5d1, (q15_t)0x684b, (q15_t)0xb5cc, (q15_t)0x6848, (q15_t)0xb5c7, (q15_t)0x6844, (q15_t)0xb5c2,
+ (q15_t)0x6840, (q15_t)0xb5bd, (q15_t)0x683d, (q15_t)0xb5b8, (q15_t)0x6839, (q15_t)0xb5b3, (q15_t)0x6835, (q15_t)0xb5ae,
+ (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x682e, (q15_t)0xb5a3, (q15_t)0x682b, (q15_t)0xb59e, (q15_t)0x6827, (q15_t)0xb599,
+ (q15_t)0x6823, (q15_t)0xb594, (q15_t)0x6820, (q15_t)0xb58f, (q15_t)0x681c, (q15_t)0xb58a, (q15_t)0x6818, (q15_t)0xb585,
+ (q15_t)0x6815, (q15_t)0xb57f, (q15_t)0x6811, (q15_t)0xb57a, (q15_t)0x680d, (q15_t)0xb575, (q15_t)0x680a, (q15_t)0xb570,
+ (q15_t)0x6806, (q15_t)0xb56b, (q15_t)0x6802, (q15_t)0xb566, (q15_t)0x67ff, (q15_t)0xb561, (q15_t)0x67fb, (q15_t)0xb55c,
+ (q15_t)0x67f7, (q15_t)0xb557, (q15_t)0x67f4, (q15_t)0xb552, (q15_t)0x67f0, (q15_t)0xb54c, (q15_t)0x67ec, (q15_t)0xb547,
+ (q15_t)0x67e9, (q15_t)0xb542, (q15_t)0x67e5, (q15_t)0xb53d, (q15_t)0x67e1, (q15_t)0xb538, (q15_t)0x67de, (q15_t)0xb533,
+ (q15_t)0x67da, (q15_t)0xb52e, (q15_t)0x67d6, (q15_t)0xb529, (q15_t)0x67d3, (q15_t)0xb524, (q15_t)0x67cf, (q15_t)0xb51f,
+ (q15_t)0x67cb, (q15_t)0xb519, (q15_t)0x67c8, (q15_t)0xb514, (q15_t)0x67c4, (q15_t)0xb50f, (q15_t)0x67c0, (q15_t)0xb50a,
+ (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x67b9, (q15_t)0xb500, (q15_t)0x67b5, (q15_t)0xb4fb, (q15_t)0x67b2, (q15_t)0xb4f6,
+ (q15_t)0x67ae, (q15_t)0xb4f1, (q15_t)0x67aa, (q15_t)0xb4ec, (q15_t)0x67a6, (q15_t)0xb4e7, (q15_t)0x67a3, (q15_t)0xb4e1,
+ (q15_t)0x679f, (q15_t)0xb4dc, (q15_t)0x679b, (q15_t)0xb4d7, (q15_t)0x6798, (q15_t)0xb4d2, (q15_t)0x6794, (q15_t)0xb4cd,
+ (q15_t)0x6790, (q15_t)0xb4c8, (q15_t)0x678d, (q15_t)0xb4c3, (q15_t)0x6789, (q15_t)0xb4be, (q15_t)0x6785, (q15_t)0xb4b9,
+ (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x677e, (q15_t)0xb4af, (q15_t)0x677a, (q15_t)0xb4aa, (q15_t)0x6776, (q15_t)0xb4a4,
+ (q15_t)0x6773, (q15_t)0xb49f, (q15_t)0x676f, (q15_t)0xb49a, (q15_t)0x676b, (q15_t)0xb495, (q15_t)0x6768, (q15_t)0xb490,
+ (q15_t)0x6764, (q15_t)0xb48b, (q15_t)0x6760, (q15_t)0xb486, (q15_t)0x675d, (q15_t)0xb481, (q15_t)0x6759, (q15_t)0xb47c,
+ (q15_t)0x6755, (q15_t)0xb477, (q15_t)0x6751, (q15_t)0xb472, (q15_t)0x674e, (q15_t)0xb46d, (q15_t)0x674a, (q15_t)0xb468,
+ (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x6743, (q15_t)0xb45d, (q15_t)0x673f, (q15_t)0xb458, (q15_t)0x673b, (q15_t)0xb453,
+ (q15_t)0x6737, (q15_t)0xb44e, (q15_t)0x6734, (q15_t)0xb449, (q15_t)0x6730, (q15_t)0xb444, (q15_t)0x672c, (q15_t)0xb43f,
+ (q15_t)0x6729, (q15_t)0xb43a, (q15_t)0x6725, (q15_t)0xb435, (q15_t)0x6721, (q15_t)0xb430, (q15_t)0x671d, (q15_t)0xb42b,
+ (q15_t)0x671a, (q15_t)0xb426, (q15_t)0x6716, (q15_t)0xb421, (q15_t)0x6712, (q15_t)0xb41c, (q15_t)0x670e, (q15_t)0xb417,
+ (q15_t)0x670b, (q15_t)0xb411, (q15_t)0x6707, (q15_t)0xb40c, (q15_t)0x6703, (q15_t)0xb407, (q15_t)0x6700, (q15_t)0xb402,
+ (q15_t)0x66fc, (q15_t)0xb3fd, (q15_t)0x66f8, (q15_t)0xb3f8, (q15_t)0x66f4, (q15_t)0xb3f3, (q15_t)0x66f1, (q15_t)0xb3ee,
+ (q15_t)0x66ed, (q15_t)0xb3e9, (q15_t)0x66e9, (q15_t)0xb3e4, (q15_t)0x66e5, (q15_t)0xb3df, (q15_t)0x66e2, (q15_t)0xb3da,
+ (q15_t)0x66de, (q15_t)0xb3d5, (q15_t)0x66da, (q15_t)0xb3d0, (q15_t)0x66d6, (q15_t)0xb3cb, (q15_t)0x66d3, (q15_t)0xb3c6,
+ (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x66cb, (q15_t)0xb3bc, (q15_t)0x66c8, (q15_t)0xb3b7, (q15_t)0x66c4, (q15_t)0xb3b1,
+ (q15_t)0x66c0, (q15_t)0xb3ac, (q15_t)0x66bc, (q15_t)0xb3a7, (q15_t)0x66b9, (q15_t)0xb3a2, (q15_t)0x66b5, (q15_t)0xb39d,
+ (q15_t)0x66b1, (q15_t)0xb398, (q15_t)0x66ad, (q15_t)0xb393, (q15_t)0x66aa, (q15_t)0xb38e, (q15_t)0x66a6, (q15_t)0xb389,
+ (q15_t)0x66a2, (q15_t)0xb384, (q15_t)0x669e, (q15_t)0xb37f, (q15_t)0x669b, (q15_t)0xb37a, (q15_t)0x6697, (q15_t)0xb375,
+ (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x668f, (q15_t)0xb36b, (q15_t)0x668b, (q15_t)0xb366, (q15_t)0x6688, (q15_t)0xb361,
+ (q15_t)0x6684, (q15_t)0xb35c, (q15_t)0x6680, (q15_t)0xb357, (q15_t)0x667c, (q15_t)0xb352, (q15_t)0x6679, (q15_t)0xb34d,
+ (q15_t)0x6675, (q15_t)0xb348, (q15_t)0x6671, (q15_t)0xb343, (q15_t)0x666d, (q15_t)0xb33e, (q15_t)0x666a, (q15_t)0xb339,
+ (q15_t)0x6666, (q15_t)0xb334, (q15_t)0x6662, (q15_t)0xb32f, (q15_t)0x665e, (q15_t)0xb32a, (q15_t)0x665b, (q15_t)0xb325,
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+ (q15_t)0x611d, (q15_t)0xac9e, (q15_t)0x6119, (q15_t)0xac9a, (q15_t)0x6115, (q15_t)0xac95, (q15_t)0x6111, (q15_t)0xac90,
+ (q15_t)0x610d, (q15_t)0xac8b, (q15_t)0x6108, (q15_t)0xac87, (q15_t)0x6104, (q15_t)0xac82, (q15_t)0x6100, (q15_t)0xac7d,
+ (q15_t)0x60fc, (q15_t)0xac78, (q15_t)0x60f8, (q15_t)0xac74, (q15_t)0x60f4, (q15_t)0xac6f, (q15_t)0x60f0, (q15_t)0xac6a,
+ (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60e8, (q15_t)0xac61, (q15_t)0x60e4, (q15_t)0xac5c, (q15_t)0x60df, (q15_t)0xac57,
+ (q15_t)0x60db, (q15_t)0xac52, (q15_t)0x60d7, (q15_t)0xac4e, (q15_t)0x60d3, (q15_t)0xac49, (q15_t)0x60cf, (q15_t)0xac44,
+ (q15_t)0x60cb, (q15_t)0xac3f, (q15_t)0x60c7, (q15_t)0xac3b, (q15_t)0x60c3, (q15_t)0xac36, (q15_t)0x60bf, (q15_t)0xac31,
+ (q15_t)0x60ba, (q15_t)0xac2c, (q15_t)0x60b6, (q15_t)0xac28, (q15_t)0x60b2, (q15_t)0xac23, (q15_t)0x60ae, (q15_t)0xac1e,
+ (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x60a6, (q15_t)0xac15, (q15_t)0x60a2, (q15_t)0xac10, (q15_t)0x609e, (q15_t)0xac0b,
+ (q15_t)0x6099, (q15_t)0xac06, (q15_t)0x6095, (q15_t)0xac02, (q15_t)0x6091, (q15_t)0xabfd, (q15_t)0x608d, (q15_t)0xabf8,
+ (q15_t)0x6089, (q15_t)0xabf3, (q15_t)0x6085, (q15_t)0xabef, (q15_t)0x6081, (q15_t)0xabea, (q15_t)0x607d, (q15_t)0xabe5,
+ (q15_t)0x6078, (q15_t)0xabe0, (q15_t)0x6074, (q15_t)0xabdc, (q15_t)0x6070, (q15_t)0xabd7, (q15_t)0x606c, (q15_t)0xabd2,
+ (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6064, (q15_t)0xabc9, (q15_t)0x6060, (q15_t)0xabc4, (q15_t)0x605c, (q15_t)0xabbf,
+ (q15_t)0x6057, (q15_t)0xabbb, (q15_t)0x6053, (q15_t)0xabb6, (q15_t)0x604f, (q15_t)0xabb1, (q15_t)0x604b, (q15_t)0xabac,
+ (q15_t)0x6047, (q15_t)0xaba8, (q15_t)0x6043, (q15_t)0xaba3, (q15_t)0x603f, (q15_t)0xab9e, (q15_t)0x603a, (q15_t)0xab99,
+ (q15_t)0x6036, (q15_t)0xab95, (q15_t)0x6032, (q15_t)0xab90, (q15_t)0x602e, (q15_t)0xab8b, (q15_t)0x602a, (q15_t)0xab87,
+ (q15_t)0x6026, (q15_t)0xab82, (q15_t)0x6022, (q15_t)0xab7d, (q15_t)0x601d, (q15_t)0xab78, (q15_t)0x6019, (q15_t)0xab74,
+ (q15_t)0x6015, (q15_t)0xab6f, (q15_t)0x6011, (q15_t)0xab6a, (q15_t)0x600d, (q15_t)0xab66, (q15_t)0x6009, (q15_t)0xab61,
+ (q15_t)0x6004, (q15_t)0xab5c, (q15_t)0x6000, (q15_t)0xab57, (q15_t)0x5ffc, (q15_t)0xab53, (q15_t)0x5ff8, (q15_t)0xab4e,
+ (q15_t)0x5ff4, (q15_t)0xab49, (q15_t)0x5ff0, (q15_t)0xab45, (q15_t)0x5fec, (q15_t)0xab40, (q15_t)0x5fe7, (q15_t)0xab3b,
+ (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fdf, (q15_t)0xab32, (q15_t)0x5fdb, (q15_t)0xab2d, (q15_t)0x5fd7, (q15_t)0xab28,
+ (q15_t)0x5fd3, (q15_t)0xab24, (q15_t)0x5fce, (q15_t)0xab1f, (q15_t)0x5fca, (q15_t)0xab1a, (q15_t)0x5fc6, (q15_t)0xab16,
+ (q15_t)0x5fc2, (q15_t)0xab11, (q15_t)0x5fbe, (q15_t)0xab0c, (q15_t)0x5fba, (q15_t)0xab07, (q15_t)0x5fb5, (q15_t)0xab03,
+ (q15_t)0x5fb1, (q15_t)0xaafe, (q15_t)0x5fad, (q15_t)0xaaf9, (q15_t)0x5fa9, (q15_t)0xaaf5, (q15_t)0x5fa5, (q15_t)0xaaf0,
+ (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f9c, (q15_t)0xaae7, (q15_t)0x5f98, (q15_t)0xaae2, (q15_t)0x5f94, (q15_t)0xaadd,
+ (q15_t)0x5f90, (q15_t)0xaad8, (q15_t)0x5f8c, (q15_t)0xaad4, (q15_t)0x5f87, (q15_t)0xaacf, (q15_t)0x5f83, (q15_t)0xaaca,
+ (q15_t)0x5f7f, (q15_t)0xaac6, (q15_t)0x5f7b, (q15_t)0xaac1, (q15_t)0x5f77, (q15_t)0xaabc, (q15_t)0x5f72, (q15_t)0xaab8,
+ (q15_t)0x5f6e, (q15_t)0xaab3, (q15_t)0x5f6a, (q15_t)0xaaae, (q15_t)0x5f66, (q15_t)0xaaaa, (q15_t)0x5f62, (q15_t)0xaaa5,
+ (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f59, (q15_t)0xaa9c, (q15_t)0x5f55, (q15_t)0xaa97, (q15_t)0x5f51, (q15_t)0xaa92,
+ (q15_t)0x5f4d, (q15_t)0xaa8e, (q15_t)0x5f49, (q15_t)0xaa89, (q15_t)0x5f44, (q15_t)0xaa84, (q15_t)0x5f40, (q15_t)0xaa7f,
+ (q15_t)0x5f3c, (q15_t)0xaa7b, (q15_t)0x5f38, (q15_t)0xaa76, (q15_t)0x5f34, (q15_t)0xaa71, (q15_t)0x5f2f, (q15_t)0xaa6d,
+ (q15_t)0x5f2b, (q15_t)0xaa68, (q15_t)0x5f27, (q15_t)0xaa63, (q15_t)0x5f23, (q15_t)0xaa5f, (q15_t)0x5f1f, (q15_t)0xaa5a,
+ (q15_t)0x5f1a, (q15_t)0xaa55, (q15_t)0x5f16, (q15_t)0xaa51, (q15_t)0x5f12, (q15_t)0xaa4c, (q15_t)0x5f0e, (q15_t)0xaa47,
+ (q15_t)0x5f0a, (q15_t)0xaa43, (q15_t)0x5f05, (q15_t)0xaa3e, (q15_t)0x5f01, (q15_t)0xaa39, (q15_t)0x5efd, (q15_t)0xaa35,
+ (q15_t)0x5ef9, (q15_t)0xaa30, (q15_t)0x5ef5, (q15_t)0xaa2b, (q15_t)0x5ef0, (q15_t)0xaa27, (q15_t)0x5eec, (q15_t)0xaa22,
+ (q15_t)0x5ee8, (q15_t)0xaa1d, (q15_t)0x5ee4, (q15_t)0xaa19, (q15_t)0x5edf, (q15_t)0xaa14, (q15_t)0x5edb, (q15_t)0xaa10,
+ (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5ed3, (q15_t)0xaa06, (q15_t)0x5ecf, (q15_t)0xaa02, (q15_t)0x5eca, (q15_t)0xa9fd,
+ (q15_t)0x5ec6, (q15_t)0xa9f8, (q15_t)0x5ec2, (q15_t)0xa9f4, (q15_t)0x5ebe, (q15_t)0xa9ef, (q15_t)0x5eb9, (q15_t)0xa9ea,
+ (q15_t)0x5eb5, (q15_t)0xa9e6, (q15_t)0x5eb1, (q15_t)0xa9e1, (q15_t)0x5ead, (q15_t)0xa9dc, (q15_t)0x5ea9, (q15_t)0xa9d8,
+ (q15_t)0x5ea4, (q15_t)0xa9d3, (q15_t)0x5ea0, (q15_t)0xa9ce, (q15_t)0x5e9c, (q15_t)0xa9ca, (q15_t)0x5e98, (q15_t)0xa9c5,
+ (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e8f, (q15_t)0xa9bc, (q15_t)0x5e8b, (q15_t)0xa9b7, (q15_t)0x5e87, (q15_t)0xa9b3,
+ (q15_t)0x5e82, (q15_t)0xa9ae, (q15_t)0x5e7e, (q15_t)0xa9a9, (q15_t)0x5e7a, (q15_t)0xa9a5, (q15_t)0x5e76, (q15_t)0xa9a0,
+ (q15_t)0x5e71, (q15_t)0xa99b, (q15_t)0x5e6d, (q15_t)0xa997, (q15_t)0x5e69, (q15_t)0xa992, (q15_t)0x5e65, (q15_t)0xa98d,
+ (q15_t)0x5e60, (q15_t)0xa989, (q15_t)0x5e5c, (q15_t)0xa984, (q15_t)0x5e58, (q15_t)0xa980, (q15_t)0x5e54, (q15_t)0xa97b,
+ (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e4b, (q15_t)0xa972, (q15_t)0x5e47, (q15_t)0xa96d, (q15_t)0x5e43, (q15_t)0xa968,
+ (q15_t)0x5e3f, (q15_t)0xa964, (q15_t)0x5e3a, (q15_t)0xa95f, (q15_t)0x5e36, (q15_t)0xa95b, (q15_t)0x5e32, (q15_t)0xa956,
+ (q15_t)0x5e2d, (q15_t)0xa951, (q15_t)0x5e29, (q15_t)0xa94d, (q15_t)0x5e25, (q15_t)0xa948, (q15_t)0x5e21, (q15_t)0xa943,
+ (q15_t)0x5e1c, (q15_t)0xa93f, (q15_t)0x5e18, (q15_t)0xa93a, (q15_t)0x5e14, (q15_t)0xa936, (q15_t)0x5e10, (q15_t)0xa931,
+ (q15_t)0x5e0b, (q15_t)0xa92c, (q15_t)0x5e07, (q15_t)0xa928, (q15_t)0x5e03, (q15_t)0xa923, (q15_t)0x5dff, (q15_t)0xa91e,
+ (q15_t)0x5dfa, (q15_t)0xa91a, (q15_t)0x5df6, (q15_t)0xa915, (q15_t)0x5df2, (q15_t)0xa911, (q15_t)0x5dee, (q15_t)0xa90c,
+ (q15_t)0x5de9, (q15_t)0xa907, (q15_t)0x5de5, (q15_t)0xa903, (q15_t)0x5de1, (q15_t)0xa8fe, (q15_t)0x5ddc, (q15_t)0xa8fa,
+ (q15_t)0x5dd8, (q15_t)0xa8f5, (q15_t)0x5dd4, (q15_t)0xa8f0, (q15_t)0x5dd0, (q15_t)0xa8ec, (q15_t)0x5dcb, (q15_t)0xa8e7,
+ (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5dc3, (q15_t)0xa8de, (q15_t)0x5dbf, (q15_t)0xa8d9, (q15_t)0x5dba, (q15_t)0xa8d5,
+ (q15_t)0x5db6, (q15_t)0xa8d0, (q15_t)0x5db2, (q15_t)0xa8cc, (q15_t)0x5dad, (q15_t)0xa8c7, (q15_t)0x5da9, (q15_t)0xa8c2,
+ (q15_t)0x5da5, (q15_t)0xa8be, (q15_t)0x5da1, (q15_t)0xa8b9, (q15_t)0x5d9c, (q15_t)0xa8b5, (q15_t)0x5d98, (q15_t)0xa8b0,
+ (q15_t)0x5d94, (q15_t)0xa8ab, (q15_t)0x5d8f, (q15_t)0xa8a7, (q15_t)0x5d8b, (q15_t)0xa8a2, (q15_t)0x5d87, (q15_t)0xa89e,
+ (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d7e, (q15_t)0xa894, (q15_t)0x5d7a, (q15_t)0xa890, (q15_t)0x5d76, (q15_t)0xa88b,
+ (q15_t)0x5d71, (q15_t)0xa887, (q15_t)0x5d6d, (q15_t)0xa882, (q15_t)0x5d69, (q15_t)0xa87d, (q15_t)0x5d65, (q15_t)0xa879,
+ (q15_t)0x5d60, (q15_t)0xa874, (q15_t)0x5d5c, (q15_t)0xa870, (q15_t)0x5d58, (q15_t)0xa86b, (q15_t)0x5d53, (q15_t)0xa867,
+ (q15_t)0x5d4f, (q15_t)0xa862, (q15_t)0x5d4b, (q15_t)0xa85d, (q15_t)0x5d46, (q15_t)0xa859, (q15_t)0x5d42, (q15_t)0xa854,
+ (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5d3a, (q15_t)0xa84b, (q15_t)0x5d35, (q15_t)0xa847, (q15_t)0x5d31, (q15_t)0xa842,
+ (q15_t)0x5d2d, (q15_t)0xa83d, (q15_t)0x5d28, (q15_t)0xa839, (q15_t)0x5d24, (q15_t)0xa834, (q15_t)0x5d20, (q15_t)0xa830,
+ (q15_t)0x5d1b, (q15_t)0xa82b, (q15_t)0x5d17, (q15_t)0xa827, (q15_t)0x5d13, (q15_t)0xa822, (q15_t)0x5d0e, (q15_t)0xa81d,
+ (q15_t)0x5d0a, (q15_t)0xa819, (q15_t)0x5d06, (q15_t)0xa814, (q15_t)0x5d01, (q15_t)0xa810, (q15_t)0x5cfd, (q15_t)0xa80b,
+ (q15_t)0x5cf9, (q15_t)0xa807, (q15_t)0x5cf5, (q15_t)0xa802, (q15_t)0x5cf0, (q15_t)0xa7fd, (q15_t)0x5cec, (q15_t)0xa7f9,
+ (q15_t)0x5ce8, (q15_t)0xa7f4, (q15_t)0x5ce3, (q15_t)0xa7f0, (q15_t)0x5cdf, (q15_t)0xa7eb, (q15_t)0x5cdb, (q15_t)0xa7e7,
+ (q15_t)0x5cd6, (q15_t)0xa7e2, (q15_t)0x5cd2, (q15_t)0xa7de, (q15_t)0x5cce, (q15_t)0xa7d9, (q15_t)0x5cc9, (q15_t)0xa7d4,
+ (q15_t)0x5cc5, (q15_t)0xa7d0, (q15_t)0x5cc1, (q15_t)0xa7cb, (q15_t)0x5cbc, (q15_t)0xa7c7, (q15_t)0x5cb8, (q15_t)0xa7c2,
+ (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5caf, (q15_t)0xa7b9, (q15_t)0x5cab, (q15_t)0xa7b5, (q15_t)0x5ca7, (q15_t)0xa7b0,
+ (q15_t)0x5ca2, (q15_t)0xa7ab, (q15_t)0x5c9e, (q15_t)0xa7a7, (q15_t)0x5c9a, (q15_t)0xa7a2, (q15_t)0x5c95, (q15_t)0xa79e,
+ (q15_t)0x5c91, (q15_t)0xa799, (q15_t)0x5c8d, (q15_t)0xa795, (q15_t)0x5c88, (q15_t)0xa790, (q15_t)0x5c84, (q15_t)0xa78c,
+ (q15_t)0x5c80, (q15_t)0xa787, (q15_t)0x5c7b, (q15_t)0xa783, (q15_t)0x5c77, (q15_t)0xa77e, (q15_t)0x5c73, (q15_t)0xa779,
+ (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c6a, (q15_t)0xa770, (q15_t)0x5c66, (q15_t)0xa76c, (q15_t)0x5c61, (q15_t)0xa767,
+ (q15_t)0x5c5d, (q15_t)0xa763, (q15_t)0x5c58, (q15_t)0xa75e, (q15_t)0x5c54, (q15_t)0xa75a, (q15_t)0x5c50, (q15_t)0xa755,
+ (q15_t)0x5c4b, (q15_t)0xa751, (q15_t)0x5c47, (q15_t)0xa74c, (q15_t)0x5c43, (q15_t)0xa748, (q15_t)0x5c3e, (q15_t)0xa743,
+ (q15_t)0x5c3a, (q15_t)0xa73f, (q15_t)0x5c36, (q15_t)0xa73a, (q15_t)0x5c31, (q15_t)0xa735, (q15_t)0x5c2d, (q15_t)0xa731,
+ (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5c24, (q15_t)0xa728, (q15_t)0x5c20, (q15_t)0xa723, (q15_t)0x5c1b, (q15_t)0xa71f,
+ (q15_t)0x5c17, (q15_t)0xa71a, (q15_t)0x5c13, (q15_t)0xa716, (q15_t)0x5c0e, (q15_t)0xa711, (q15_t)0x5c0a, (q15_t)0xa70d,
+ (q15_t)0x5c06, (q15_t)0xa708, (q15_t)0x5c01, (q15_t)0xa704, (q15_t)0x5bfd, (q15_t)0xa6ff, (q15_t)0x5bf9, (q15_t)0xa6fb,
+ (q15_t)0x5bf4, (q15_t)0xa6f6, (q15_t)0x5bf0, (q15_t)0xa6f2, (q15_t)0x5beb, (q15_t)0xa6ed, (q15_t)0x5be7, (q15_t)0xa6e9,
+ (q15_t)0x5be3, (q15_t)0xa6e4, (q15_t)0x5bde, (q15_t)0xa6e0, (q15_t)0x5bda, (q15_t)0xa6db, (q15_t)0x5bd6, (q15_t)0xa6d7,
+ (q15_t)0x5bd1, (q15_t)0xa6d2, (q15_t)0x5bcd, (q15_t)0xa6ce, (q15_t)0x5bc8, (q15_t)0xa6c9, (q15_t)0x5bc4, (q15_t)0xa6c5,
+ (q15_t)0x5bc0, (q15_t)0xa6c0, (q15_t)0x5bbb, (q15_t)0xa6bc, (q15_t)0x5bb7, (q15_t)0xa6b7, (q15_t)0x5bb2, (q15_t)0xa6b3,
+ (q15_t)0x5bae, (q15_t)0xa6ae, (q15_t)0x5baa, (q15_t)0xa6aa, (q15_t)0x5ba5, (q15_t)0xa6a5, (q15_t)0x5ba1, (q15_t)0xa6a1,
+ (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b98, (q15_t)0xa698, (q15_t)0x5b94, (q15_t)0xa693, (q15_t)0x5b8f, (q15_t)0xa68f,
+ (q15_t)0x5b8b, (q15_t)0xa68a, (q15_t)0x5b87, (q15_t)0xa686, (q15_t)0x5b82, (q15_t)0xa681, (q15_t)0x5b7e, (q15_t)0xa67d,
+ (q15_t)0x5b79, (q15_t)0xa678, (q15_t)0x5b75, (q15_t)0xa674, (q15_t)0x5b71, (q15_t)0xa66f, (q15_t)0x5b6c, (q15_t)0xa66b,
+ (q15_t)0x5b68, (q15_t)0xa666, (q15_t)0x5b63, (q15_t)0xa662, (q15_t)0x5b5f, (q15_t)0xa65d, (q15_t)0x5b5b, (q15_t)0xa659,
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+ (q15_t)0x5b45, (q15_t)0xa642, (q15_t)0x5b40, (q15_t)0xa63e, (q15_t)0x5b3c, (q15_t)0xa639, (q15_t)0x5b37, (q15_t)0xa635,
+ (q15_t)0x5b33, (q15_t)0xa630, (q15_t)0x5b2f, (q15_t)0xa62c, (q15_t)0x5b2a, (q15_t)0xa627, (q15_t)0x5b26, (q15_t)0xa623,
+ (q15_t)0x5b21, (q15_t)0xa61f, (q15_t)0x5b1d, (q15_t)0xa61a, (q15_t)0x5b19, (q15_t)0xa616, (q15_t)0x5b14, (q15_t)0xa611,
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+ (q15_t)0x5afe, (q15_t)0xa5fb, (q15_t)0x5afa, (q15_t)0xa5f6, (q15_t)0x5af5, (q15_t)0xa5f2, (q15_t)0x5af1, (q15_t)0xa5ed,
+ (q15_t)0x5aec, (q15_t)0xa5e9, (q15_t)0x5ae8, (q15_t)0xa5e4, (q15_t)0x5ae4, (q15_t)0xa5e0, (q15_t)0x5adf, (q15_t)0xa5dc,
+ (q15_t)0x5adb, (q15_t)0xa5d7, (q15_t)0x5ad6, (q15_t)0xa5d3, (q15_t)0x5ad2, (q15_t)0xa5ce, (q15_t)0x5acd, (q15_t)0xa5ca,
+ (q15_t)0x5ac9, (q15_t)0xa5c5, (q15_t)0x5ac5, (q15_t)0xa5c1, (q15_t)0x5ac0, (q15_t)0xa5bc, (q15_t)0x5abc, (q15_t)0xa5b8,
+ (q15_t)0x5ab7, (q15_t)0xa5b3, (q15_t)0x5ab3, (q15_t)0xa5af, (q15_t)0x5aae, (q15_t)0xa5aa, (q15_t)0x5aaa, (q15_t)0xa5a6,
+ (q15_t)0x5aa5, (q15_t)0xa5a2, (q15_t)0x5aa1, (q15_t)0xa59d, (q15_t)0x5a9d, (q15_t)0xa599, (q15_t)0x5a98, (q15_t)0xa594,
+ (q15_t)0x5a94, (q15_t)0xa590, (q15_t)0x5a8f, (q15_t)0xa58b, (q15_t)0x5a8b, (q15_t)0xa587, (q15_t)0x5a86, (q15_t)0xa582,
+ (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a7e, (q15_t)0xa57a, (q15_t)0x5a79, (q15_t)0xa575, (q15_t)0x5a75, (q15_t)0xa571,
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+ (q15_t)0x5a5e, (q15_t)0xa55b, (q15_t)0x5a5a, (q15_t)0xa556, (q15_t)0x5a56, (q15_t)0xa552, (q15_t)0x5a51, (q15_t)0xa54d,
+ (q15_t)0x5a4d, (q15_t)0xa549, (q15_t)0x5a48, (q15_t)0xa544, (q15_t)0x5a44, (q15_t)0xa540, (q15_t)0x5a3f, (q15_t)0xa53b,
+ (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x5a36, (q15_t)0xa533, (q15_t)0x5a32, (q15_t)0xa52e, (q15_t)0x5a2d, (q15_t)0xa52a,
+ (q15_t)0x5a29, (q15_t)0xa525, (q15_t)0x5a24, (q15_t)0xa521, (q15_t)0x5a20, (q15_t)0xa51c, (q15_t)0x5a1c, (q15_t)0xa518,
+ (q15_t)0x5a17, (q15_t)0xa514, (q15_t)0x5a13, (q15_t)0xa50f, (q15_t)0x5a0e, (q15_t)0xa50b, (q15_t)0x5a0a, (q15_t)0xa506,
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+ (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59ef, (q15_t)0xa4ec, (q15_t)0x59ea, (q15_t)0xa4e7, (q15_t)0x59e6, (q15_t)0xa4e3,
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+ (q15_t)0x59d0, (q15_t)0xa4cd, (q15_t)0x59cb, (q15_t)0xa4c9, (q15_t)0x59c7, (q15_t)0xa4c4, (q15_t)0x59c2, (q15_t)0xa4c0,
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+ (q15_t)0x59ac, (q15_t)0xa4aa, (q15_t)0x59a7, (q15_t)0xa4a5, (q15_t)0x59a3, (q15_t)0xa4a1, (q15_t)0x599e, (q15_t)0xa49d,
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+ (q15_t)0x5572, (q15_t)0xa0b3, (q15_t)0x556e, (q15_t)0xa0af, (q15_t)0x5569, (q15_t)0xa0ab, (q15_t)0x5564, (q15_t)0xa0a7,
+ (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x555b, (q15_t)0xa09e, (q15_t)0x5556, (q15_t)0xa09a, (q15_t)0x5552, (q15_t)0xa096,
+ (q15_t)0x554d, (q15_t)0xa092, (q15_t)0x5548, (q15_t)0xa08e, (q15_t)0x5544, (q15_t)0xa089, (q15_t)0x553f, (q15_t)0xa085,
+ (q15_t)0x553a, (q15_t)0xa081, (q15_t)0x5536, (q15_t)0xa07d, (q15_t)0x5531, (q15_t)0xa079, (q15_t)0x552c, (q15_t)0xa074,
+ (q15_t)0x5528, (q15_t)0xa070, (q15_t)0x5523, (q15_t)0xa06c, (q15_t)0x551e, (q15_t)0xa068, (q15_t)0x5519, (q15_t)0xa064,
+ (q15_t)0x5515, (q15_t)0xa060, (q15_t)0x5510, (q15_t)0xa05b, (q15_t)0x550b, (q15_t)0xa057, (q15_t)0x5507, (q15_t)0xa053,
+ (q15_t)0x5502, (q15_t)0xa04f, (q15_t)0x54fd, (q15_t)0xa04b, (q15_t)0x54f9, (q15_t)0xa046, (q15_t)0x54f4, (q15_t)0xa042,
+ (q15_t)0x54ef, (q15_t)0xa03e, (q15_t)0x54ea, (q15_t)0xa03a, (q15_t)0x54e6, (q15_t)0xa036, (q15_t)0x54e1, (q15_t)0xa032,
+ (q15_t)0x54dc, (q15_t)0xa02d, (q15_t)0x54d8, (q15_t)0xa029, (q15_t)0x54d3, (q15_t)0xa025, (q15_t)0x54ce, (q15_t)0xa021,
+ (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x54c5, (q15_t)0xa019, (q15_t)0x54c0, (q15_t)0xa014, (q15_t)0x54bb, (q15_t)0xa010,
+ (q15_t)0x54b7, (q15_t)0xa00c, (q15_t)0x54b2, (q15_t)0xa008, (q15_t)0x54ad, (q15_t)0xa004, (q15_t)0x54a9, (q15_t)0xa000,
+ (q15_t)0x54a4, (q15_t)0x9ffc, (q15_t)0x549f, (q15_t)0x9ff7, (q15_t)0x549a, (q15_t)0x9ff3, (q15_t)0x5496, (q15_t)0x9fef,
+ (q15_t)0x5491, (q15_t)0x9feb, (q15_t)0x548c, (q15_t)0x9fe7, (q15_t)0x5488, (q15_t)0x9fe3, (q15_t)0x5483, (q15_t)0x9fde,
+ (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x5479, (q15_t)0x9fd6, (q15_t)0x5475, (q15_t)0x9fd2, (q15_t)0x5470, (q15_t)0x9fce,
+ (q15_t)0x546b, (q15_t)0x9fca, (q15_t)0x5467, (q15_t)0x9fc6, (q15_t)0x5462, (q15_t)0x9fc1, (q15_t)0x545d, (q15_t)0x9fbd,
+ (q15_t)0x5458, (q15_t)0x9fb9, (q15_t)0x5454, (q15_t)0x9fb5, (q15_t)0x544f, (q15_t)0x9fb1, (q15_t)0x544a, (q15_t)0x9fad,
+ (q15_t)0x5445, (q15_t)0x9fa9, (q15_t)0x5441, (q15_t)0x9fa4, (q15_t)0x543c, (q15_t)0x9fa0, (q15_t)0x5437, (q15_t)0x9f9c,
+ (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x542e, (q15_t)0x9f94, (q15_t)0x5429, (q15_t)0x9f90, (q15_t)0x5424, (q15_t)0x9f8c,
+ (q15_t)0x5420, (q15_t)0x9f88, (q15_t)0x541b, (q15_t)0x9f83, (q15_t)0x5416, (q15_t)0x9f7f, (q15_t)0x5411, (q15_t)0x9f7b,
+ (q15_t)0x540d, (q15_t)0x9f77, (q15_t)0x5408, (q15_t)0x9f73, (q15_t)0x5403, (q15_t)0x9f6f, (q15_t)0x53fe, (q15_t)0x9f6b,
+ (q15_t)0x53fa, (q15_t)0x9f67, (q15_t)0x53f5, (q15_t)0x9f62, (q15_t)0x53f0, (q15_t)0x9f5e, (q15_t)0x53eb, (q15_t)0x9f5a,
+ (q15_t)0x53e7, (q15_t)0x9f56, (q15_t)0x53e2, (q15_t)0x9f52, (q15_t)0x53dd, (q15_t)0x9f4e, (q15_t)0x53d8, (q15_t)0x9f4a,
+ (q15_t)0x53d4, (q15_t)0x9f46, (q15_t)0x53cf, (q15_t)0x9f41, (q15_t)0x53ca, (q15_t)0x9f3d, (q15_t)0x53c5, (q15_t)0x9f39,
+ (q15_t)0x53c1, (q15_t)0x9f35, (q15_t)0x53bc, (q15_t)0x9f31, (q15_t)0x53b7, (q15_t)0x9f2d, (q15_t)0x53b2, (q15_t)0x9f29,
+ (q15_t)0x53ae, (q15_t)0x9f25, (q15_t)0x53a9, (q15_t)0x9f21, (q15_t)0x53a4, (q15_t)0x9f1c, (q15_t)0x539f, (q15_t)0x9f18,
+ (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5396, (q15_t)0x9f10, (q15_t)0x5391, (q15_t)0x9f0c, (q15_t)0x538c, (q15_t)0x9f08,
+ (q15_t)0x5388, (q15_t)0x9f04, (q15_t)0x5383, (q15_t)0x9f00, (q15_t)0x537e, (q15_t)0x9efc, (q15_t)0x5379, (q15_t)0x9ef8,
+ (q15_t)0x5375, (q15_t)0x9ef3, (q15_t)0x5370, (q15_t)0x9eef, (q15_t)0x536b, (q15_t)0x9eeb, (q15_t)0x5366, (q15_t)0x9ee7,
+ (q15_t)0x5362, (q15_t)0x9ee3, (q15_t)0x535d, (q15_t)0x9edf, (q15_t)0x5358, (q15_t)0x9edb, (q15_t)0x5353, (q15_t)0x9ed7,
+ (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x534a, (q15_t)0x9ecf, (q15_t)0x5345, (q15_t)0x9ecb, (q15_t)0x5340, (q15_t)0x9ec6,
+ (q15_t)0x533b, (q15_t)0x9ec2, (q15_t)0x5337, (q15_t)0x9ebe, (q15_t)0x5332, (q15_t)0x9eba, (q15_t)0x532d, (q15_t)0x9eb6,
+ (q15_t)0x5328, (q15_t)0x9eb2, (q15_t)0x5323, (q15_t)0x9eae, (q15_t)0x531f, (q15_t)0x9eaa, (q15_t)0x531a, (q15_t)0x9ea6,
+ (q15_t)0x5315, (q15_t)0x9ea2, (q15_t)0x5310, (q15_t)0x9e9e, (q15_t)0x530c, (q15_t)0x9e9a, (q15_t)0x5307, (q15_t)0x9e95,
+ (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52fd, (q15_t)0x9e8d, (q15_t)0x52f8, (q15_t)0x9e89, (q15_t)0x52f4, (q15_t)0x9e85,
+ (q15_t)0x52ef, (q15_t)0x9e81, (q15_t)0x52ea, (q15_t)0x9e7d, (q15_t)0x52e5, (q15_t)0x9e79, (q15_t)0x52e1, (q15_t)0x9e75,
+ (q15_t)0x52dc, (q15_t)0x9e71, (q15_t)0x52d7, (q15_t)0x9e6d, (q15_t)0x52d2, (q15_t)0x9e69, (q15_t)0x52cd, (q15_t)0x9e65,
+ (q15_t)0x52c9, (q15_t)0x9e61, (q15_t)0x52c4, (q15_t)0x9e5d, (q15_t)0x52bf, (q15_t)0x9e58, (q15_t)0x52ba, (q15_t)0x9e54,
+ (q15_t)0x52b5, (q15_t)0x9e50, (q15_t)0x52b1, (q15_t)0x9e4c, (q15_t)0x52ac, (q15_t)0x9e48, (q15_t)0x52a7, (q15_t)0x9e44,
+ (q15_t)0x52a2, (q15_t)0x9e40, (q15_t)0x529d, (q15_t)0x9e3c, (q15_t)0x5299, (q15_t)0x9e38, (q15_t)0x5294, (q15_t)0x9e34,
+ (q15_t)0x528f, (q15_t)0x9e30, (q15_t)0x528a, (q15_t)0x9e2c, (q15_t)0x5285, (q15_t)0x9e28, (q15_t)0x5281, (q15_t)0x9e24,
+ (q15_t)0x527c, (q15_t)0x9e20, (q15_t)0x5277, (q15_t)0x9e1c, (q15_t)0x5272, (q15_t)0x9e18, (q15_t)0x526d, (q15_t)0x9e14,
+ (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x5264, (q15_t)0x9e0b, (q15_t)0x525f, (q15_t)0x9e07, (q15_t)0x525a, (q15_t)0x9e03,
+ (q15_t)0x5255, (q15_t)0x9dff, (q15_t)0x5251, (q15_t)0x9dfb, (q15_t)0x524c, (q15_t)0x9df7, (q15_t)0x5247, (q15_t)0x9df3,
+ (q15_t)0x5242, (q15_t)0x9def, (q15_t)0x523d, (q15_t)0x9deb, (q15_t)0x5238, (q15_t)0x9de7, (q15_t)0x5234, (q15_t)0x9de3,
+ (q15_t)0x522f, (q15_t)0x9ddf, (q15_t)0x522a, (q15_t)0x9ddb, (q15_t)0x5225, (q15_t)0x9dd7, (q15_t)0x5220, (q15_t)0x9dd3,
+ (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x5217, (q15_t)0x9dcb, (q15_t)0x5212, (q15_t)0x9dc7, (q15_t)0x520d, (q15_t)0x9dc3,
+ (q15_t)0x5208, (q15_t)0x9dbf, (q15_t)0x5203, (q15_t)0x9dbb, (q15_t)0x51ff, (q15_t)0x9db7, (q15_t)0x51fa, (q15_t)0x9db3,
+ (q15_t)0x51f5, (q15_t)0x9daf, (q15_t)0x51f0, (q15_t)0x9dab, (q15_t)0x51eb, (q15_t)0x9da7, (q15_t)0x51e6, (q15_t)0x9da3,
+ (q15_t)0x51e2, (q15_t)0x9d9f, (q15_t)0x51dd, (q15_t)0x9d9b, (q15_t)0x51d8, (q15_t)0x9d97, (q15_t)0x51d3, (q15_t)0x9d93,
+ (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x51c9, (q15_t)0x9d8b, (q15_t)0x51c5, (q15_t)0x9d86, (q15_t)0x51c0, (q15_t)0x9d82,
+ (q15_t)0x51bb, (q15_t)0x9d7e, (q15_t)0x51b6, (q15_t)0x9d7a, (q15_t)0x51b1, (q15_t)0x9d76, (q15_t)0x51ac, (q15_t)0x9d72,
+ (q15_t)0x51a8, (q15_t)0x9d6e, (q15_t)0x51a3, (q15_t)0x9d6a, (q15_t)0x519e, (q15_t)0x9d66, (q15_t)0x5199, (q15_t)0x9d62,
+ (q15_t)0x5194, (q15_t)0x9d5e, (q15_t)0x518f, (q15_t)0x9d5a, (q15_t)0x518b, (q15_t)0x9d56, (q15_t)0x5186, (q15_t)0x9d52,
+ (q15_t)0x5181, (q15_t)0x9d4e, (q15_t)0x517c, (q15_t)0x9d4a, (q15_t)0x5177, (q15_t)0x9d46, (q15_t)0x5172, (q15_t)0x9d42,
+ (q15_t)0x516e, (q15_t)0x9d3e, (q15_t)0x5169, (q15_t)0x9d3a, (q15_t)0x5164, (q15_t)0x9d36, (q15_t)0x515f, (q15_t)0x9d32,
+ (q15_t)0x515a, (q15_t)0x9d2e, (q15_t)0x5155, (q15_t)0x9d2a, (q15_t)0x5150, (q15_t)0x9d26, (q15_t)0x514c, (q15_t)0x9d22,
+ (q15_t)0x5147, (q15_t)0x9d1e, (q15_t)0x5142, (q15_t)0x9d1a, (q15_t)0x513d, (q15_t)0x9d16, (q15_t)0x5138, (q15_t)0x9d12,
+ (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x512e, (q15_t)0x9d0b, (q15_t)0x512a, (q15_t)0x9d07, (q15_t)0x5125, (q15_t)0x9d03,
+ (q15_t)0x5120, (q15_t)0x9cff, (q15_t)0x511b, (q15_t)0x9cfb, (q15_t)0x5116, (q15_t)0x9cf7, (q15_t)0x5111, (q15_t)0x9cf3,
+ (q15_t)0x510c, (q15_t)0x9cef, (q15_t)0x5108, (q15_t)0x9ceb, (q15_t)0x5103, (q15_t)0x9ce7, (q15_t)0x50fe, (q15_t)0x9ce3,
+ (q15_t)0x50f9, (q15_t)0x9cdf, (q15_t)0x50f4, (q15_t)0x9cdb, (q15_t)0x50ef, (q15_t)0x9cd7, (q15_t)0x50ea, (q15_t)0x9cd3,
+ (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x50e1, (q15_t)0x9ccb, (q15_t)0x50dc, (q15_t)0x9cc7, (q15_t)0x50d7, (q15_t)0x9cc3,
+ (q15_t)0x50d2, (q15_t)0x9cbf, (q15_t)0x50cd, (q15_t)0x9cbb, (q15_t)0x50c8, (q15_t)0x9cb7, (q15_t)0x50c3, (q15_t)0x9cb3,
+ (q15_t)0x50bf, (q15_t)0x9caf, (q15_t)0x50ba, (q15_t)0x9cab, (q15_t)0x50b5, (q15_t)0x9ca7, (q15_t)0x50b0, (q15_t)0x9ca3,
+ (q15_t)0x50ab, (q15_t)0x9c9f, (q15_t)0x50a6, (q15_t)0x9c9b, (q15_t)0x50a1, (q15_t)0x9c97, (q15_t)0x509c, (q15_t)0x9c93,
+ (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5093, (q15_t)0x9c8b, (q15_t)0x508e, (q15_t)0x9c88, (q15_t)0x5089, (q15_t)0x9c84,
+ (q15_t)0x5084, (q15_t)0x9c80, (q15_t)0x507f, (q15_t)0x9c7c, (q15_t)0x507a, (q15_t)0x9c78, (q15_t)0x5075, (q15_t)0x9c74,
+ (q15_t)0x5070, (q15_t)0x9c70, (q15_t)0x506c, (q15_t)0x9c6c, (q15_t)0x5067, (q15_t)0x9c68, (q15_t)0x5062, (q15_t)0x9c64,
+ (q15_t)0x505d, (q15_t)0x9c60, (q15_t)0x5058, (q15_t)0x9c5c, (q15_t)0x5053, (q15_t)0x9c58, (q15_t)0x504e, (q15_t)0x9c54,
+ (q15_t)0x5049, (q15_t)0x9c50, (q15_t)0x5044, (q15_t)0x9c4c, (q15_t)0x503f, (q15_t)0x9c48, (q15_t)0x503b, (q15_t)0x9c44,
+ (q15_t)0x5036, (q15_t)0x9c40, (q15_t)0x5031, (q15_t)0x9c3d, (q15_t)0x502c, (q15_t)0x9c39, (q15_t)0x5027, (q15_t)0x9c35,
+ (q15_t)0x5022, (q15_t)0x9c31, (q15_t)0x501d, (q15_t)0x9c2d, (q15_t)0x5018, (q15_t)0x9c29, (q15_t)0x5013, (q15_t)0x9c25,
+ (q15_t)0x500f, (q15_t)0x9c21, (q15_t)0x500a, (q15_t)0x9c1d, (q15_t)0x5005, (q15_t)0x9c19, (q15_t)0x5000, (q15_t)0x9c15,
+ (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ff6, (q15_t)0x9c0d, (q15_t)0x4ff1, (q15_t)0x9c09, (q15_t)0x4fec, (q15_t)0x9c06,
+ (q15_t)0x4fe7, (q15_t)0x9c02, (q15_t)0x4fe2, (q15_t)0x9bfe, (q15_t)0x4fdd, (q15_t)0x9bfa, (q15_t)0x4fd9, (q15_t)0x9bf6,
+ (q15_t)0x4fd4, (q15_t)0x9bf2, (q15_t)0x4fcf, (q15_t)0x9bee, (q15_t)0x4fca, (q15_t)0x9bea, (q15_t)0x4fc5, (q15_t)0x9be6,
+ (q15_t)0x4fc0, (q15_t)0x9be2, (q15_t)0x4fbb, (q15_t)0x9bde, (q15_t)0x4fb6, (q15_t)0x9bda, (q15_t)0x4fb1, (q15_t)0x9bd7,
+ (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4fa7, (q15_t)0x9bcf, (q15_t)0x4fa2, (q15_t)0x9bcb, (q15_t)0x4f9e, (q15_t)0x9bc7,
+ (q15_t)0x4f99, (q15_t)0x9bc3, (q15_t)0x4f94, (q15_t)0x9bbf, (q15_t)0x4f8f, (q15_t)0x9bbb, (q15_t)0x4f8a, (q15_t)0x9bb7,
+ (q15_t)0x4f85, (q15_t)0x9bb3, (q15_t)0x4f80, (q15_t)0x9baf, (q15_t)0x4f7b, (q15_t)0x9bac, (q15_t)0x4f76, (q15_t)0x9ba8,
+ (q15_t)0x4f71, (q15_t)0x9ba4, (q15_t)0x4f6c, (q15_t)0x9ba0, (q15_t)0x4f67, (q15_t)0x9b9c, (q15_t)0x4f62, (q15_t)0x9b98,
+ (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f59, (q15_t)0x9b90, (q15_t)0x4f54, (q15_t)0x9b8c, (q15_t)0x4f4f, (q15_t)0x9b88,
+ (q15_t)0x4f4a, (q15_t)0x9b85, (q15_t)0x4f45, (q15_t)0x9b81, (q15_t)0x4f40, (q15_t)0x9b7d, (q15_t)0x4f3b, (q15_t)0x9b79,
+ (q15_t)0x4f36, (q15_t)0x9b75, (q15_t)0x4f31, (q15_t)0x9b71, (q15_t)0x4f2c, (q15_t)0x9b6d, (q15_t)0x4f27, (q15_t)0x9b69,
+ (q15_t)0x4f22, (q15_t)0x9b65, (q15_t)0x4f1d, (q15_t)0x9b62, (q15_t)0x4f18, (q15_t)0x9b5e, (q15_t)0x4f14, (q15_t)0x9b5a,
+ (q15_t)0x4f0f, (q15_t)0x9b56, (q15_t)0x4f0a, (q15_t)0x9b52, (q15_t)0x4f05, (q15_t)0x9b4e, (q15_t)0x4f00, (q15_t)0x9b4a,
+ (q15_t)0x4efb, (q15_t)0x9b46, (q15_t)0x4ef6, (q15_t)0x9b43, (q15_t)0x4ef1, (q15_t)0x9b3f, (q15_t)0x4eec, (q15_t)0x9b3b,
+ (q15_t)0x4ee7, (q15_t)0x9b37, (q15_t)0x4ee2, (q15_t)0x9b33, (q15_t)0x4edd, (q15_t)0x9b2f, (q15_t)0x4ed8, (q15_t)0x9b2b,
+ (q15_t)0x4ed3, (q15_t)0x9b27, (q15_t)0x4ece, (q15_t)0x9b24, (q15_t)0x4ec9, (q15_t)0x9b20, (q15_t)0x4ec4, (q15_t)0x9b1c,
+ (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4eba, (q15_t)0x9b14, (q15_t)0x4eb6, (q15_t)0x9b10, (q15_t)0x4eb1, (q15_t)0x9b0c,
+ (q15_t)0x4eac, (q15_t)0x9b09, (q15_t)0x4ea7, (q15_t)0x9b05, (q15_t)0x4ea2, (q15_t)0x9b01, (q15_t)0x4e9d, (q15_t)0x9afd,
+ (q15_t)0x4e98, (q15_t)0x9af9, (q15_t)0x4e93, (q15_t)0x9af5, (q15_t)0x4e8e, (q15_t)0x9af1, (q15_t)0x4e89, (q15_t)0x9aed,
+ (q15_t)0x4e84, (q15_t)0x9aea, (q15_t)0x4e7f, (q15_t)0x9ae6, (q15_t)0x4e7a, (q15_t)0x9ae2, (q15_t)0x4e75, (q15_t)0x9ade,
+ (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e6b, (q15_t)0x9ad6, (q15_t)0x4e66, (q15_t)0x9ad3, (q15_t)0x4e61, (q15_t)0x9acf,
+ (q15_t)0x4e5c, (q15_t)0x9acb, (q15_t)0x4e57, (q15_t)0x9ac7, (q15_t)0x4e52, (q15_t)0x9ac3, (q15_t)0x4e4d, (q15_t)0x9abf,
+ (q15_t)0x4e48, (q15_t)0x9abb, (q15_t)0x4e43, (q15_t)0x9ab8, (q15_t)0x4e3e, (q15_t)0x9ab4, (q15_t)0x4e39, (q15_t)0x9ab0,
+ (q15_t)0x4e34, (q15_t)0x9aac, (q15_t)0x4e2f, (q15_t)0x9aa8, (q15_t)0x4e2a, (q15_t)0x9aa4, (q15_t)0x4e26, (q15_t)0x9aa1,
+ (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4e1c, (q15_t)0x9a99, (q15_t)0x4e17, (q15_t)0x9a95, (q15_t)0x4e12, (q15_t)0x9a91,
+ (q15_t)0x4e0d, (q15_t)0x9a8d, (q15_t)0x4e08, (q15_t)0x9a8a, (q15_t)0x4e03, (q15_t)0x9a86, (q15_t)0x4dfe, (q15_t)0x9a82,
+ (q15_t)0x4df9, (q15_t)0x9a7e, (q15_t)0x4df4, (q15_t)0x9a7a, (q15_t)0x4def, (q15_t)0x9a76, (q15_t)0x4dea, (q15_t)0x9a73,
+ (q15_t)0x4de5, (q15_t)0x9a6f, (q15_t)0x4de0, (q15_t)0x9a6b, (q15_t)0x4ddb, (q15_t)0x9a67, (q15_t)0x4dd6, (q15_t)0x9a63,
+ (q15_t)0x4dd1, (q15_t)0x9a60, (q15_t)0x4dcc, (q15_t)0x9a5c, (q15_t)0x4dc7, (q15_t)0x9a58, (q15_t)0x4dc2, (q15_t)0x9a54,
+ (q15_t)0x4dbd, (q15_t)0x9a50, (q15_t)0x4db8, (q15_t)0x9a4c, (q15_t)0x4db3, (q15_t)0x9a49, (q15_t)0x4dae, (q15_t)0x9a45,
+ (q15_t)0x4da9, (q15_t)0x9a41, (q15_t)0x4da4, (q15_t)0x9a3d, (q15_t)0x4d9f, (q15_t)0x9a39, (q15_t)0x4d9a, (q15_t)0x9a36,
+ (q15_t)0x4d95, (q15_t)0x9a32, (q15_t)0x4d90, (q15_t)0x9a2e, (q15_t)0x4d8b, (q15_t)0x9a2a, (q15_t)0x4d86, (q15_t)0x9a26,
+ (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d7c, (q15_t)0x9a1f, (q15_t)0x4d77, (q15_t)0x9a1b, (q15_t)0x4d72, (q15_t)0x9a17,
+ (q15_t)0x4d6d, (q15_t)0x9a13, (q15_t)0x4d68, (q15_t)0x9a10, (q15_t)0x4d63, (q15_t)0x9a0c, (q15_t)0x4d5e, (q15_t)0x9a08,
+ (q15_t)0x4d59, (q15_t)0x9a04, (q15_t)0x4d54, (q15_t)0x9a00, (q15_t)0x4d4f, (q15_t)0x99fd, (q15_t)0x4d4a, (q15_t)0x99f9,
+ (q15_t)0x4d45, (q15_t)0x99f5, (q15_t)0x4d40, (q15_t)0x99f1, (q15_t)0x4d3b, (q15_t)0x99ed, (q15_t)0x4d36, (q15_t)0x99ea,
+ (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4d2c, (q15_t)0x99e2, (q15_t)0x4d27, (q15_t)0x99de, (q15_t)0x4d22, (q15_t)0x99da,
+ (q15_t)0x4d1d, (q15_t)0x99d7, (q15_t)0x4d18, (q15_t)0x99d3, (q15_t)0x4d13, (q15_t)0x99cf, (q15_t)0x4d0e, (q15_t)0x99cb,
+ (q15_t)0x4d09, (q15_t)0x99c7, (q15_t)0x4d04, (q15_t)0x99c4, (q15_t)0x4cff, (q15_t)0x99c0, (q15_t)0x4cfa, (q15_t)0x99bc,
+ (q15_t)0x4cf5, (q15_t)0x99b8, (q15_t)0x4cf0, (q15_t)0x99b5, (q15_t)0x4ceb, (q15_t)0x99b1, (q15_t)0x4ce6, (q15_t)0x99ad,
+ (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4cdb, (q15_t)0x99a5, (q15_t)0x4cd6, (q15_t)0x99a2, (q15_t)0x4cd1, (q15_t)0x999e,
+ (q15_t)0x4ccc, (q15_t)0x999a, (q15_t)0x4cc7, (q15_t)0x9996, (q15_t)0x4cc2, (q15_t)0x9993, (q15_t)0x4cbd, (q15_t)0x998f,
+ (q15_t)0x4cb8, (q15_t)0x998b, (q15_t)0x4cb3, (q15_t)0x9987, (q15_t)0x4cae, (q15_t)0x9984, (q15_t)0x4ca9, (q15_t)0x9980,
+ (q15_t)0x4ca4, (q15_t)0x997c, (q15_t)0x4c9f, (q15_t)0x9978, (q15_t)0x4c9a, (q15_t)0x9975, (q15_t)0x4c95, (q15_t)0x9971,
+ (q15_t)0x4c90, (q15_t)0x996d, (q15_t)0x4c8b, (q15_t)0x9969, (q15_t)0x4c86, (q15_t)0x9965, (q15_t)0x4c81, (q15_t)0x9962,
+ (q15_t)0x4c7c, (q15_t)0x995e, (q15_t)0x4c77, (q15_t)0x995a, (q15_t)0x4c72, (q15_t)0x9956, (q15_t)0x4c6d, (q15_t)0x9953,
+ (q15_t)0x4c68, (q15_t)0x994f, (q15_t)0x4c63, (q15_t)0x994b, (q15_t)0x4c5e, (q15_t)0x9947, (q15_t)0x4c59, (q15_t)0x9944,
+ (q15_t)0x4c54, (q15_t)0x9940, (q15_t)0x4c4f, (q15_t)0x993c, (q15_t)0x4c49, (q15_t)0x9938, (q15_t)0x4c44, (q15_t)0x9935,
+ (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4c3a, (q15_t)0x992d, (q15_t)0x4c35, (q15_t)0x992a, (q15_t)0x4c30, (q15_t)0x9926,
+ (q15_t)0x4c2b, (q15_t)0x9922, (q15_t)0x4c26, (q15_t)0x991e, (q15_t)0x4c21, (q15_t)0x991b, (q15_t)0x4c1c, (q15_t)0x9917,
+ (q15_t)0x4c17, (q15_t)0x9913, (q15_t)0x4c12, (q15_t)0x990f, (q15_t)0x4c0d, (q15_t)0x990c, (q15_t)0x4c08, (q15_t)0x9908,
+ (q15_t)0x4c03, (q15_t)0x9904, (q15_t)0x4bfe, (q15_t)0x9900, (q15_t)0x4bf9, (q15_t)0x98fd, (q15_t)0x4bf4, (q15_t)0x98f9,
+ (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4be9, (q15_t)0x98f2, (q15_t)0x4be4, (q15_t)0x98ee, (q15_t)0x4bdf, (q15_t)0x98ea,
+ (q15_t)0x4bda, (q15_t)0x98e6, (q15_t)0x4bd5, (q15_t)0x98e3, (q15_t)0x4bd0, (q15_t)0x98df, (q15_t)0x4bcb, (q15_t)0x98db,
+ (q15_t)0x4bc6, (q15_t)0x98d7, (q15_t)0x4bc1, (q15_t)0x98d4, (q15_t)0x4bbc, (q15_t)0x98d0, (q15_t)0x4bb7, (q15_t)0x98cc,
+ (q15_t)0x4bb2, (q15_t)0x98c9, (q15_t)0x4bad, (q15_t)0x98c5, (q15_t)0x4ba8, (q15_t)0x98c1, (q15_t)0x4ba3, (q15_t)0x98bd,
+ (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b98, (q15_t)0x98b6, (q15_t)0x4b93, (q15_t)0x98b2, (q15_t)0x4b8e, (q15_t)0x98af,
+ (q15_t)0x4b89, (q15_t)0x98ab, (q15_t)0x4b84, (q15_t)0x98a7, (q15_t)0x4b7f, (q15_t)0x98a3, (q15_t)0x4b7a, (q15_t)0x98a0,
+ (q15_t)0x4b75, (q15_t)0x989c, (q15_t)0x4b70, (q15_t)0x9898, (q15_t)0x4b6b, (q15_t)0x9895, (q15_t)0x4b66, (q15_t)0x9891,
+ (q15_t)0x4b61, (q15_t)0x988d, (q15_t)0x4b5c, (q15_t)0x988a, (q15_t)0x4b56, (q15_t)0x9886, (q15_t)0x4b51, (q15_t)0x9882,
+ (q15_t)0x4b4c, (q15_t)0x987e, (q15_t)0x4b47, (q15_t)0x987b, (q15_t)0x4b42, (q15_t)0x9877, (q15_t)0x4b3d, (q15_t)0x9873,
+ (q15_t)0x4b38, (q15_t)0x9870, (q15_t)0x4b33, (q15_t)0x986c, (q15_t)0x4b2e, (q15_t)0x9868, (q15_t)0x4b29, (q15_t)0x9865,
+ (q15_t)0x4b24, (q15_t)0x9861, (q15_t)0x4b1f, (q15_t)0x985d, (q15_t)0x4b19, (q15_t)0x985a, (q15_t)0x4b14, (q15_t)0x9856,
+ (q15_t)0x4b0f, (q15_t)0x9852, (q15_t)0x4b0a, (q15_t)0x984e, (q15_t)0x4b05, (q15_t)0x984b, (q15_t)0x4b00, (q15_t)0x9847,
+ (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4af6, (q15_t)0x9840, (q15_t)0x4af1, (q15_t)0x983c, (q15_t)0x4aec, (q15_t)0x9838,
+ (q15_t)0x4ae7, (q15_t)0x9835, (q15_t)0x4ae1, (q15_t)0x9831, (q15_t)0x4adc, (q15_t)0x982d, (q15_t)0x4ad7, (q15_t)0x982a,
+ (q15_t)0x4ad2, (q15_t)0x9826, (q15_t)0x4acd, (q15_t)0x9822, (q15_t)0x4ac8, (q15_t)0x981f, (q15_t)0x4ac3, (q15_t)0x981b,
+ (q15_t)0x4abe, (q15_t)0x9817, (q15_t)0x4ab9, (q15_t)0x9814, (q15_t)0x4ab4, (q15_t)0x9810, (q15_t)0x4aae, (q15_t)0x980c,
+ (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4aa4, (q15_t)0x9805, (q15_t)0x4a9f, (q15_t)0x9801, (q15_t)0x4a9a, (q15_t)0x97fe,
+ (q15_t)0x4a95, (q15_t)0x97fa, (q15_t)0x4a90, (q15_t)0x97f6, (q15_t)0x4a8b, (q15_t)0x97f3, (q15_t)0x4a86, (q15_t)0x97ef,
+ (q15_t)0x4a81, (q15_t)0x97eb, (q15_t)0x4a7b, (q15_t)0x97e8, (q15_t)0x4a76, (q15_t)0x97e4, (q15_t)0x4a71, (q15_t)0x97e0,
+ (q15_t)0x4a6c, (q15_t)0x97dd, (q15_t)0x4a67, (q15_t)0x97d9, (q15_t)0x4a62, (q15_t)0x97d5, (q15_t)0x4a5d, (q15_t)0x97d2,
+ (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a52, (q15_t)0x97cb, (q15_t)0x4a4d, (q15_t)0x97c7, (q15_t)0x4a48, (q15_t)0x97c3,
+ (q15_t)0x4a43, (q15_t)0x97c0, (q15_t)0x4a3e, (q15_t)0x97bc, (q15_t)0x4a39, (q15_t)0x97b8, (q15_t)0x4a34, (q15_t)0x97b5,
+ (q15_t)0x4a2f, (q15_t)0x97b1, (q15_t)0x4a2a, (q15_t)0x97ad, (q15_t)0x4a24, (q15_t)0x97aa, (q15_t)0x4a1f, (q15_t)0x97a6,
+ (q15_t)0x4a1a, (q15_t)0x97a2, (q15_t)0x4a15, (q15_t)0x979f, (q15_t)0x4a10, (q15_t)0x979b, (q15_t)0x4a0b, (q15_t)0x9798,
+ (q15_t)0x4a06, (q15_t)0x9794, (q15_t)0x4a01, (q15_t)0x9790, (q15_t)0x49fb, (q15_t)0x978d, (q15_t)0x49f6, (q15_t)0x9789,
+ (q15_t)0x49f1, (q15_t)0x9785, (q15_t)0x49ec, (q15_t)0x9782, (q15_t)0x49e7, (q15_t)0x977e, (q15_t)0x49e2, (q15_t)0x977a,
+ (q15_t)0x49dd, (q15_t)0x9777, (q15_t)0x49d8, (q15_t)0x9773, (q15_t)0x49d2, (q15_t)0x9770, (q15_t)0x49cd, (q15_t)0x976c,
+ (q15_t)0x49c8, (q15_t)0x9768, (q15_t)0x49c3, (q15_t)0x9765, (q15_t)0x49be, (q15_t)0x9761, (q15_t)0x49b9, (q15_t)0x975d,
+ (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x49ae, (q15_t)0x9756, (q15_t)0x49a9, (q15_t)0x9753, (q15_t)0x49a4, (q15_t)0x974f,
+ (q15_t)0x499f, (q15_t)0x974b, (q15_t)0x499a, (q15_t)0x9748, (q15_t)0x4995, (q15_t)0x9744, (q15_t)0x4990, (q15_t)0x9741,
+ (q15_t)0x498a, (q15_t)0x973d, (q15_t)0x4985, (q15_t)0x9739, (q15_t)0x4980, (q15_t)0x9736, (q15_t)0x497b, (q15_t)0x9732,
+ (q15_t)0x4976, (q15_t)0x972f, (q15_t)0x4971, (q15_t)0x972b, (q15_t)0x496c, (q15_t)0x9727, (q15_t)0x4966, (q15_t)0x9724,
+ (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x495c, (q15_t)0x971d, (q15_t)0x4957, (q15_t)0x9719, (q15_t)0x4952, (q15_t)0x9715,
+ (q15_t)0x494d, (q15_t)0x9712, (q15_t)0x4948, (q15_t)0x970e, (q15_t)0x4942, (q15_t)0x970b, (q15_t)0x493d, (q15_t)0x9707,
+ (q15_t)0x4938, (q15_t)0x9703, (q15_t)0x4933, (q15_t)0x9700, (q15_t)0x492e, (q15_t)0x96fc, (q15_t)0x4929, (q15_t)0x96f9,
+ (q15_t)0x4923, (q15_t)0x96f5, (q15_t)0x491e, (q15_t)0x96f1, (q15_t)0x4919, (q15_t)0x96ee, (q15_t)0x4914, (q15_t)0x96ea,
+ (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x490a, (q15_t)0x96e3, (q15_t)0x4905, (q15_t)0x96df, (q15_t)0x48ff, (q15_t)0x96dc,
+ (q15_t)0x48fa, (q15_t)0x96d8, (q15_t)0x48f5, (q15_t)0x96d5, (q15_t)0x48f0, (q15_t)0x96d1, (q15_t)0x48eb, (q15_t)0x96ce,
+ (q15_t)0x48e6, (q15_t)0x96ca, (q15_t)0x48e0, (q15_t)0x96c6, (q15_t)0x48db, (q15_t)0x96c3, (q15_t)0x48d6, (q15_t)0x96bf,
+ (q15_t)0x48d1, (q15_t)0x96bc, (q15_t)0x48cc, (q15_t)0x96b8, (q15_t)0x48c7, (q15_t)0x96b5, (q15_t)0x48c1, (q15_t)0x96b1,
+ (q15_t)0x48bc, (q15_t)0x96ad, (q15_t)0x48b7, (q15_t)0x96aa, (q15_t)0x48b2, (q15_t)0x96a6, (q15_t)0x48ad, (q15_t)0x96a3,
+ (q15_t)0x48a8, (q15_t)0x969f, (q15_t)0x48a2, (q15_t)0x969c, (q15_t)0x489d, (q15_t)0x9698, (q15_t)0x4898, (q15_t)0x9694,
+ (q15_t)0x4893, (q15_t)0x9691, (q15_t)0x488e, (q15_t)0x968d, (q15_t)0x4888, (q15_t)0x968a, (q15_t)0x4883, (q15_t)0x9686,
+ (q15_t)0x487e, (q15_t)0x9683, (q15_t)0x4879, (q15_t)0x967f, (q15_t)0x4874, (q15_t)0x967b, (q15_t)0x486f, (q15_t)0x9678,
+ (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4864, (q15_t)0x9671, (q15_t)0x485f, (q15_t)0x966d, (q15_t)0x485a, (q15_t)0x966a,
+ (q15_t)0x4855, (q15_t)0x9666, (q15_t)0x484f, (q15_t)0x9663, (q15_t)0x484a, (q15_t)0x965f, (q15_t)0x4845, (q15_t)0x965b,
+ (q15_t)0x4840, (q15_t)0x9658, (q15_t)0x483b, (q15_t)0x9654, (q15_t)0x4836, (q15_t)0x9651, (q15_t)0x4830, (q15_t)0x964d,
+ (q15_t)0x482b, (q15_t)0x964a, (q15_t)0x4826, (q15_t)0x9646, (q15_t)0x4821, (q15_t)0x9643, (q15_t)0x481c, (q15_t)0x963f,
+ (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x4811, (q15_t)0x9638, (q15_t)0x480c, (q15_t)0x9635, (q15_t)0x4807, (q15_t)0x9631,
+ (q15_t)0x4802, (q15_t)0x962d, (q15_t)0x47fc, (q15_t)0x962a, (q15_t)0x47f7, (q15_t)0x9626, (q15_t)0x47f2, (q15_t)0x9623,
+ (q15_t)0x47ed, (q15_t)0x961f, (q15_t)0x47e8, (q15_t)0x961c, (q15_t)0x47e2, (q15_t)0x9618, (q15_t)0x47dd, (q15_t)0x9615,
+ (q15_t)0x47d8, (q15_t)0x9611, (q15_t)0x47d3, (q15_t)0x960e, (q15_t)0x47ce, (q15_t)0x960a, (q15_t)0x47c8, (q15_t)0x9607,
+ (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x47be, (q15_t)0x9600, (q15_t)0x47b9, (q15_t)0x95fc, (q15_t)0x47b4, (q15_t)0x95f9,
+ (q15_t)0x47ae, (q15_t)0x95f5, (q15_t)0x47a9, (q15_t)0x95f2, (q15_t)0x47a4, (q15_t)0x95ee, (q15_t)0x479f, (q15_t)0x95ea,
+ (q15_t)0x479a, (q15_t)0x95e7, (q15_t)0x4794, (q15_t)0x95e3, (q15_t)0x478f, (q15_t)0x95e0, (q15_t)0x478a, (q15_t)0x95dc,
+ (q15_t)0x4785, (q15_t)0x95d9, (q15_t)0x4780, (q15_t)0x95d5, (q15_t)0x477a, (q15_t)0x95d2, (q15_t)0x4775, (q15_t)0x95ce,
+ (q15_t)0x4770, (q15_t)0x95cb, (q15_t)0x476b, (q15_t)0x95c7, (q15_t)0x4765, (q15_t)0x95c4, (q15_t)0x4760, (q15_t)0x95c0,
+ (q15_t)0x475b, (q15_t)0x95bd, (q15_t)0x4756, (q15_t)0x95b9, (q15_t)0x4751, (q15_t)0x95b6, (q15_t)0x474b, (q15_t)0x95b2,
+ (q15_t)0x4746, (q15_t)0x95af, (q15_t)0x4741, (q15_t)0x95ab, (q15_t)0x473c, (q15_t)0x95a8, (q15_t)0x4737, (q15_t)0x95a4,
+ (q15_t)0x4731, (q15_t)0x95a1, (q15_t)0x472c, (q15_t)0x959d, (q15_t)0x4727, (q15_t)0x959a, (q15_t)0x4722, (q15_t)0x9596,
+ (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x4717, (q15_t)0x958f, (q15_t)0x4712, (q15_t)0x958c, (q15_t)0x470d, (q15_t)0x9588,
+ (q15_t)0x4708, (q15_t)0x9585, (q15_t)0x4702, (q15_t)0x9581, (q15_t)0x46fd, (q15_t)0x957e, (q15_t)0x46f8, (q15_t)0x957a,
+ (q15_t)0x46f3, (q15_t)0x9577, (q15_t)0x46ed, (q15_t)0x9574, (q15_t)0x46e8, (q15_t)0x9570, (q15_t)0x46e3, (q15_t)0x956d,
+ (q15_t)0x46de, (q15_t)0x9569, (q15_t)0x46d8, (q15_t)0x9566, (q15_t)0x46d3, (q15_t)0x9562, (q15_t)0x46ce, (q15_t)0x955f,
+ (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x46c4, (q15_t)0x9558, (q15_t)0x46be, (q15_t)0x9554, (q15_t)0x46b9, (q15_t)0x9551,
+ (q15_t)0x46b4, (q15_t)0x954d, (q15_t)0x46af, (q15_t)0x954a, (q15_t)0x46a9, (q15_t)0x9546, (q15_t)0x46a4, (q15_t)0x9543,
+ (q15_t)0x469f, (q15_t)0x953f, (q15_t)0x469a, (q15_t)0x953c, (q15_t)0x4694, (q15_t)0x9538, (q15_t)0x468f, (q15_t)0x9535,
+ (q15_t)0x468a, (q15_t)0x9532, (q15_t)0x4685, (q15_t)0x952e, (q15_t)0x467f, (q15_t)0x952b, (q15_t)0x467a, (q15_t)0x9527,
+ (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4670, (q15_t)0x9520, (q15_t)0x466a, (q15_t)0x951d, (q15_t)0x4665, (q15_t)0x9519,
+ (q15_t)0x4660, (q15_t)0x9516, (q15_t)0x465b, (q15_t)0x9512, (q15_t)0x4655, (q15_t)0x950f, (q15_t)0x4650, (q15_t)0x950c,
+ (q15_t)0x464b, (q15_t)0x9508, (q15_t)0x4646, (q15_t)0x9505, (q15_t)0x4640, (q15_t)0x9501, (q15_t)0x463b, (q15_t)0x94fe,
+ (q15_t)0x4636, (q15_t)0x94fa, (q15_t)0x4631, (q15_t)0x94f7, (q15_t)0x462b, (q15_t)0x94f3, (q15_t)0x4626, (q15_t)0x94f0,
+ (q15_t)0x4621, (q15_t)0x94ed, (q15_t)0x461c, (q15_t)0x94e9, (q15_t)0x4616, (q15_t)0x94e6, (q15_t)0x4611, (q15_t)0x94e2,
+ (q15_t)0x460c, (q15_t)0x94df, (q15_t)0x4607, (q15_t)0x94db, (q15_t)0x4601, (q15_t)0x94d8, (q15_t)0x45fc, (q15_t)0x94d4,
+ (q15_t)0x45f7, (q15_t)0x94d1, (q15_t)0x45f2, (q15_t)0x94ce, (q15_t)0x45ec, (q15_t)0x94ca, (q15_t)0x45e7, (q15_t)0x94c7,
+ (q15_t)0x45e2, (q15_t)0x94c3, (q15_t)0x45dd, (q15_t)0x94c0, (q15_t)0x45d7, (q15_t)0x94bc, (q15_t)0x45d2, (q15_t)0x94b9,
+ (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x45c7, (q15_t)0x94b2, (q15_t)0x45c2, (q15_t)0x94af, (q15_t)0x45bd, (q15_t)0x94ab,
+ (q15_t)0x45b8, (q15_t)0x94a8, (q15_t)0x45b2, (q15_t)0x94a4, (q15_t)0x45ad, (q15_t)0x94a1, (q15_t)0x45a8, (q15_t)0x949e,
+ (q15_t)0x45a3, (q15_t)0x949a, (q15_t)0x459d, (q15_t)0x9497, (q15_t)0x4598, (q15_t)0x9493, (q15_t)0x4593, (q15_t)0x9490,
+ (q15_t)0x458d, (q15_t)0x948d, (q15_t)0x4588, (q15_t)0x9489, (q15_t)0x4583, (q15_t)0x9486, (q15_t)0x457e, (q15_t)0x9482,
+ (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4573, (q15_t)0x947b, (q15_t)0x456e, (q15_t)0x9478, (q15_t)0x4569, (q15_t)0x9475,
+ (q15_t)0x4563, (q15_t)0x9471, (q15_t)0x455e, (q15_t)0x946e, (q15_t)0x4559, (q15_t)0x946a, (q15_t)0x4553, (q15_t)0x9467,
+ (q15_t)0x454e, (q15_t)0x9464, (q15_t)0x4549, (q15_t)0x9460, (q15_t)0x4544, (q15_t)0x945d, (q15_t)0x453e, (q15_t)0x9459,
+ (q15_t)0x4539, (q15_t)0x9456, (q15_t)0x4534, (q15_t)0x9453, (q15_t)0x452e, (q15_t)0x944f, (q15_t)0x4529, (q15_t)0x944c,
+ (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x451f, (q15_t)0x9445, (q15_t)0x4519, (q15_t)0x9442, (q15_t)0x4514, (q15_t)0x943e,
+ (q15_t)0x450f, (q15_t)0x943b, (q15_t)0x4509, (q15_t)0x9437, (q15_t)0x4504, (q15_t)0x9434, (q15_t)0x44ff, (q15_t)0x9431,
+ (q15_t)0x44fa, (q15_t)0x942d, (q15_t)0x44f4, (q15_t)0x942a, (q15_t)0x44ef, (q15_t)0x9427, (q15_t)0x44ea, (q15_t)0x9423,
+ (q15_t)0x44e4, (q15_t)0x9420, (q15_t)0x44df, (q15_t)0x941c, (q15_t)0x44da, (q15_t)0x9419, (q15_t)0x44d4, (q15_t)0x9416,
+ (q15_t)0x44cf, (q15_t)0x9412, (q15_t)0x44ca, (q15_t)0x940f, (q15_t)0x44c5, (q15_t)0x940b, (q15_t)0x44bf, (q15_t)0x9408,
+ (q15_t)0x44ba, (q15_t)0x9405, (q15_t)0x44b5, (q15_t)0x9401, (q15_t)0x44af, (q15_t)0x93fe, (q15_t)0x44aa, (q15_t)0x93fb,
+ (q15_t)0x44a5, (q15_t)0x93f7, (q15_t)0x449f, (q15_t)0x93f4, (q15_t)0x449a, (q15_t)0x93f1, (q15_t)0x4495, (q15_t)0x93ed,
+ (q15_t)0x4490, (q15_t)0x93ea, (q15_t)0x448a, (q15_t)0x93e6, (q15_t)0x4485, (q15_t)0x93e3, (q15_t)0x4480, (q15_t)0x93e0,
+ (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4475, (q15_t)0x93d9, (q15_t)0x4470, (q15_t)0x93d6, (q15_t)0x446a, (q15_t)0x93d2,
+ (q15_t)0x4465, (q15_t)0x93cf, (q15_t)0x4460, (q15_t)0x93cc, (q15_t)0x445a, (q15_t)0x93c8, (q15_t)0x4455, (q15_t)0x93c5,
+ (q15_t)0x4450, (q15_t)0x93c1, (q15_t)0x444b, (q15_t)0x93be, (q15_t)0x4445, (q15_t)0x93bb, (q15_t)0x4440, (q15_t)0x93b7,
+ (q15_t)0x443b, (q15_t)0x93b4, (q15_t)0x4435, (q15_t)0x93b1, (q15_t)0x4430, (q15_t)0x93ad, (q15_t)0x442b, (q15_t)0x93aa,
+ (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x4420, (q15_t)0x93a3, (q15_t)0x441b, (q15_t)0x93a0, (q15_t)0x4415, (q15_t)0x939d,
+ (q15_t)0x4410, (q15_t)0x9399, (q15_t)0x440b, (q15_t)0x9396, (q15_t)0x4405, (q15_t)0x9393, (q15_t)0x4400, (q15_t)0x938f,
+ (q15_t)0x43fb, (q15_t)0x938c, (q15_t)0x43f5, (q15_t)0x9389, (q15_t)0x43f0, (q15_t)0x9385, (q15_t)0x43eb, (q15_t)0x9382,
+ (q15_t)0x43e5, (q15_t)0x937f, (q15_t)0x43e0, (q15_t)0x937b, (q15_t)0x43db, (q15_t)0x9378, (q15_t)0x43d5, (q15_t)0x9375,
+ (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x43cb, (q15_t)0x936e, (q15_t)0x43c5, (q15_t)0x936b, (q15_t)0x43c0, (q15_t)0x9367,
+ (q15_t)0x43bb, (q15_t)0x9364, (q15_t)0x43b5, (q15_t)0x9361, (q15_t)0x43b0, (q15_t)0x935d, (q15_t)0x43ab, (q15_t)0x935a,
+ (q15_t)0x43a5, (q15_t)0x9357, (q15_t)0x43a0, (q15_t)0x9353, (q15_t)0x439b, (q15_t)0x9350, (q15_t)0x4395, (q15_t)0x934d,
+ (q15_t)0x4390, (q15_t)0x9349, (q15_t)0x438b, (q15_t)0x9346, (q15_t)0x4385, (q15_t)0x9343, (q15_t)0x4380, (q15_t)0x933f,
+ (q15_t)0x437b, (q15_t)0x933c, (q15_t)0x4375, (q15_t)0x9339, (q15_t)0x4370, (q15_t)0x9336, (q15_t)0x436b, (q15_t)0x9332,
+ (q15_t)0x4365, (q15_t)0x932f, (q15_t)0x4360, (q15_t)0x932c, (q15_t)0x435b, (q15_t)0x9328, (q15_t)0x4355, (q15_t)0x9325,
+ (q15_t)0x4350, (q15_t)0x9322, (q15_t)0x434b, (q15_t)0x931e, (q15_t)0x4345, (q15_t)0x931b, (q15_t)0x4340, (q15_t)0x9318,
+ (q15_t)0x433b, (q15_t)0x9314, (q15_t)0x4335, (q15_t)0x9311, (q15_t)0x4330, (q15_t)0x930e, (q15_t)0x432b, (q15_t)0x930b,
+ (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x4320, (q15_t)0x9304, (q15_t)0x431b, (q15_t)0x9301, (q15_t)0x4315, (q15_t)0x92fd,
+ (q15_t)0x4310, (q15_t)0x92fa, (q15_t)0x430b, (q15_t)0x92f7, (q15_t)0x4305, (q15_t)0x92f4, (q15_t)0x4300, (q15_t)0x92f0,
+ (q15_t)0x42fa, (q15_t)0x92ed, (q15_t)0x42f5, (q15_t)0x92ea, (q15_t)0x42f0, (q15_t)0x92e6, (q15_t)0x42ea, (q15_t)0x92e3,
+ (q15_t)0x42e5, (q15_t)0x92e0, (q15_t)0x42e0, (q15_t)0x92dd, (q15_t)0x42da, (q15_t)0x92d9, (q15_t)0x42d5, (q15_t)0x92d6,
+ (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x42ca, (q15_t)0x92cf, (q15_t)0x42c5, (q15_t)0x92cc, (q15_t)0x42c0, (q15_t)0x92c9,
+ (q15_t)0x42ba, (q15_t)0x92c6, (q15_t)0x42b5, (q15_t)0x92c2, (q15_t)0x42af, (q15_t)0x92bf, (q15_t)0x42aa, (q15_t)0x92bc,
+ (q15_t)0x42a5, (q15_t)0x92b8, (q15_t)0x429f, (q15_t)0x92b5, (q15_t)0x429a, (q15_t)0x92b2, (q15_t)0x4295, (q15_t)0x92af,
+ (q15_t)0x428f, (q15_t)0x92ab, (q15_t)0x428a, (q15_t)0x92a8, (q15_t)0x4284, (q15_t)0x92a5, (q15_t)0x427f, (q15_t)0x92a2,
+ (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4274, (q15_t)0x929b, (q15_t)0x426f, (q15_t)0x9298, (q15_t)0x426a, (q15_t)0x9295,
+ (q15_t)0x4264, (q15_t)0x9291, (q15_t)0x425f, (q15_t)0x928e, (q15_t)0x425a, (q15_t)0x928b, (q15_t)0x4254, (q15_t)0x9288,
+ (q15_t)0x424f, (q15_t)0x9284, (q15_t)0x4249, (q15_t)0x9281, (q15_t)0x4244, (q15_t)0x927e, (q15_t)0x423f, (q15_t)0x927b,
+ (q15_t)0x4239, (q15_t)0x9277, (q15_t)0x4234, (q15_t)0x9274, (q15_t)0x422f, (q15_t)0x9271, (q15_t)0x4229, (q15_t)0x926e,
+ (q15_t)0x4224, (q15_t)0x926a, (q15_t)0x421e, (q15_t)0x9267, (q15_t)0x4219, (q15_t)0x9264, (q15_t)0x4214, (q15_t)0x9261,
+ (q15_t)0x420e, (q15_t)0x925d, (q15_t)0x4209, (q15_t)0x925a, (q15_t)0x4203, (q15_t)0x9257, (q15_t)0x41fe, (q15_t)0x9254,
+ (q15_t)0x41f9, (q15_t)0x9250, (q15_t)0x41f3, (q15_t)0x924d, (q15_t)0x41ee, (q15_t)0x924a, (q15_t)0x41e9, (q15_t)0x9247,
+ (q15_t)0x41e3, (q15_t)0x9243, (q15_t)0x41de, (q15_t)0x9240, (q15_t)0x41d8, (q15_t)0x923d, (q15_t)0x41d3, (q15_t)0x923a,
+ (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x41c8, (q15_t)0x9233, (q15_t)0x41c3, (q15_t)0x9230, (q15_t)0x41bd, (q15_t)0x922d,
+ (q15_t)0x41b8, (q15_t)0x922a, (q15_t)0x41b3, (q15_t)0x9226, (q15_t)0x41ad, (q15_t)0x9223, (q15_t)0x41a8, (q15_t)0x9220,
+ (q15_t)0x41a2, (q15_t)0x921d, (q15_t)0x419d, (q15_t)0x9219, (q15_t)0x4198, (q15_t)0x9216, (q15_t)0x4192, (q15_t)0x9213,
+ (q15_t)0x418d, (q15_t)0x9210, (q15_t)0x4188, (q15_t)0x920d, (q15_t)0x4182, (q15_t)0x9209, (q15_t)0x417d, (q15_t)0x9206,
+ (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4172, (q15_t)0x9200, (q15_t)0x416d, (q15_t)0x91fc, (q15_t)0x4167, (q15_t)0x91f9,
+ (q15_t)0x4162, (q15_t)0x91f6, (q15_t)0x415c, (q15_t)0x91f3, (q15_t)0x4157, (q15_t)0x91f0, (q15_t)0x4152, (q15_t)0x91ec,
+ (q15_t)0x414c, (q15_t)0x91e9, (q15_t)0x4147, (q15_t)0x91e6, (q15_t)0x4141, (q15_t)0x91e3, (q15_t)0x413c, (q15_t)0x91e0,
+ (q15_t)0x4136, (q15_t)0x91dc, (q15_t)0x4131, (q15_t)0x91d9, (q15_t)0x412c, (q15_t)0x91d6, (q15_t)0x4126, (q15_t)0x91d3,
+ (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x411b, (q15_t)0x91cc, (q15_t)0x4116, (q15_t)0x91c9, (q15_t)0x4111, (q15_t)0x91c6,
+ (q15_t)0x410b, (q15_t)0x91c3, (q15_t)0x4106, (q15_t)0x91c0, (q15_t)0x4100, (q15_t)0x91bc, (q15_t)0x40fb, (q15_t)0x91b9,
+ (q15_t)0x40f6, (q15_t)0x91b6, (q15_t)0x40f0, (q15_t)0x91b3, (q15_t)0x40eb, (q15_t)0x91b0, (q15_t)0x40e5, (q15_t)0x91ad,
+ (q15_t)0x40e0, (q15_t)0x91a9, (q15_t)0x40da, (q15_t)0x91a6, (q15_t)0x40d5, (q15_t)0x91a3, (q15_t)0x40d0, (q15_t)0x91a0,
+ (q15_t)0x40ca, (q15_t)0x919d, (q15_t)0x40c5, (q15_t)0x9199, (q15_t)0x40bf, (q15_t)0x9196, (q15_t)0x40ba, (q15_t)0x9193,
+ (q15_t)0x40b5, (q15_t)0x9190, (q15_t)0x40af, (q15_t)0x918d, (q15_t)0x40aa, (q15_t)0x918a, (q15_t)0x40a4, (q15_t)0x9186,
+ (q15_t)0x409f, (q15_t)0x9183, (q15_t)0x4099, (q15_t)0x9180, (q15_t)0x4094, (q15_t)0x917d, (q15_t)0x408f, (q15_t)0x917a,
+ (q15_t)0x4089, (q15_t)0x9177, (q15_t)0x4084, (q15_t)0x9173, (q15_t)0x407e, (q15_t)0x9170, (q15_t)0x4079, (q15_t)0x916d,
+ (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x406e, (q15_t)0x9167, (q15_t)0x4069, (q15_t)0x9164, (q15_t)0x4063, (q15_t)0x9160,
+ (q15_t)0x405e, (q15_t)0x915d, (q15_t)0x4058, (q15_t)0x915a, (q15_t)0x4053, (q15_t)0x9157, (q15_t)0x404d, (q15_t)0x9154,
+ (q15_t)0x4048, (q15_t)0x9151, (q15_t)0x4043, (q15_t)0x914d, (q15_t)0x403d, (q15_t)0x914a, (q15_t)0x4038, (q15_t)0x9147,
+ (q15_t)0x4032, (q15_t)0x9144, (q15_t)0x402d, (q15_t)0x9141, (q15_t)0x4027, (q15_t)0x913e, (q15_t)0x4022, (q15_t)0x913a,
+ (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x4017, (q15_t)0x9134, (q15_t)0x4012, (q15_t)0x9131, (q15_t)0x400c, (q15_t)0x912e,
+ (q15_t)0x4007, (q15_t)0x912b, (q15_t)0x4001, (q15_t)0x9128, (q15_t)0x3ffc, (q15_t)0x9124, (q15_t)0x3ff6, (q15_t)0x9121,
+ (q15_t)0x3ff1, (q15_t)0x911e, (q15_t)0x3fec, (q15_t)0x911b, (q15_t)0x3fe6, (q15_t)0x9118, (q15_t)0x3fe1, (q15_t)0x9115,
+ (q15_t)0x3fdb, (q15_t)0x9112, (q15_t)0x3fd6, (q15_t)0x910f, (q15_t)0x3fd0, (q15_t)0x910b, (q15_t)0x3fcb, (q15_t)0x9108,
+ (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3fc0, (q15_t)0x9102, (q15_t)0x3fbb, (q15_t)0x90ff, (q15_t)0x3fb5, (q15_t)0x90fc,
+ (q15_t)0x3fb0, (q15_t)0x90f9, (q15_t)0x3faa, (q15_t)0x90f5, (q15_t)0x3fa5, (q15_t)0x90f2, (q15_t)0x3f9f, (q15_t)0x90ef,
+ (q15_t)0x3f9a, (q15_t)0x90ec, (q15_t)0x3f94, (q15_t)0x90e9, (q15_t)0x3f8f, (q15_t)0x90e6, (q15_t)0x3f89, (q15_t)0x90e3,
+ (q15_t)0x3f84, (q15_t)0x90e0, (q15_t)0x3f7f, (q15_t)0x90dd, (q15_t)0x3f79, (q15_t)0x90d9, (q15_t)0x3f74, (q15_t)0x90d6,
+ (q15_t)0x3f6e, (q15_t)0x90d3, (q15_t)0x3f69, (q15_t)0x90d0, (q15_t)0x3f63, (q15_t)0x90cd, (q15_t)0x3f5e, (q15_t)0x90ca,
+ (q15_t)0x3f58, (q15_t)0x90c7, (q15_t)0x3f53, (q15_t)0x90c4, (q15_t)0x3f4d, (q15_t)0x90c1, (q15_t)0x3f48, (q15_t)0x90bd,
+ (q15_t)0x3f43, (q15_t)0x90ba, (q15_t)0x3f3d, (q15_t)0x90b7, (q15_t)0x3f38, (q15_t)0x90b4, (q15_t)0x3f32, (q15_t)0x90b1,
+ (q15_t)0x3f2d, (q15_t)0x90ae, (q15_t)0x3f27, (q15_t)0x90ab, (q15_t)0x3f22, (q15_t)0x90a8, (q15_t)0x3f1c, (q15_t)0x90a5,
+ (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3f11, (q15_t)0x909e, (q15_t)0x3f0c, (q15_t)0x909b, (q15_t)0x3f06, (q15_t)0x9098,
+ (q15_t)0x3f01, (q15_t)0x9095, (q15_t)0x3efb, (q15_t)0x9092, (q15_t)0x3ef6, (q15_t)0x908f, (q15_t)0x3ef1, (q15_t)0x908c,
+ (q15_t)0x3eeb, (q15_t)0x9089, (q15_t)0x3ee6, (q15_t)0x9086, (q15_t)0x3ee0, (q15_t)0x9083, (q15_t)0x3edb, (q15_t)0x907f,
+ (q15_t)0x3ed5, (q15_t)0x907c, (q15_t)0x3ed0, (q15_t)0x9079, (q15_t)0x3eca, (q15_t)0x9076, (q15_t)0x3ec5, (q15_t)0x9073,
+ (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3eba, (q15_t)0x906d, (q15_t)0x3eb4, (q15_t)0x906a, (q15_t)0x3eaf, (q15_t)0x9067,
+ (q15_t)0x3ea9, (q15_t)0x9064, (q15_t)0x3ea4, (q15_t)0x9061, (q15_t)0x3e9e, (q15_t)0x905e, (q15_t)0x3e99, (q15_t)0x905b,
+ (q15_t)0x3e93, (q15_t)0x9057, (q15_t)0x3e8e, (q15_t)0x9054, (q15_t)0x3e88, (q15_t)0x9051, (q15_t)0x3e83, (q15_t)0x904e,
+ (q15_t)0x3e7d, (q15_t)0x904b, (q15_t)0x3e78, (q15_t)0x9048, (q15_t)0x3e73, (q15_t)0x9045, (q15_t)0x3e6d, (q15_t)0x9042,
+ (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e62, (q15_t)0x903c, (q15_t)0x3e5d, (q15_t)0x9039, (q15_t)0x3e57, (q15_t)0x9036,
+ (q15_t)0x3e52, (q15_t)0x9033, (q15_t)0x3e4c, (q15_t)0x9030, (q15_t)0x3e47, (q15_t)0x902d, (q15_t)0x3e41, (q15_t)0x902a,
+ (q15_t)0x3e3c, (q15_t)0x9026, (q15_t)0x3e36, (q15_t)0x9023, (q15_t)0x3e31, (q15_t)0x9020, (q15_t)0x3e2b, (q15_t)0x901d,
+ (q15_t)0x3e26, (q15_t)0x901a, (q15_t)0x3e20, (q15_t)0x9017, (q15_t)0x3e1b, (q15_t)0x9014, (q15_t)0x3e15, (q15_t)0x9011,
+ (q15_t)0x3e10, (q15_t)0x900e, (q15_t)0x3e0a, (q15_t)0x900b, (q15_t)0x3e05, (q15_t)0x9008, (q15_t)0x3dff, (q15_t)0x9005,
+ (q15_t)0x3dfa, (q15_t)0x9002, (q15_t)0x3df4, (q15_t)0x8fff, (q15_t)0x3def, (q15_t)0x8ffc, (q15_t)0x3de9, (q15_t)0x8ff9,
+ (q15_t)0x3de4, (q15_t)0x8ff6, (q15_t)0x3dde, (q15_t)0x8ff3, (q15_t)0x3dd9, (q15_t)0x8ff0, (q15_t)0x3dd3, (q15_t)0x8fed,
+ (q15_t)0x3dce, (q15_t)0x8fea, (q15_t)0x3dc8, (q15_t)0x8fe7, (q15_t)0x3dc3, (q15_t)0x8fe3, (q15_t)0x3dbd, (q15_t)0x8fe0,
+ (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3db2, (q15_t)0x8fda, (q15_t)0x3dad, (q15_t)0x8fd7, (q15_t)0x3da7, (q15_t)0x8fd4,
+ (q15_t)0x3da2, (q15_t)0x8fd1, (q15_t)0x3d9c, (q15_t)0x8fce, (q15_t)0x3d97, (q15_t)0x8fcb, (q15_t)0x3d91, (q15_t)0x8fc8,
+ (q15_t)0x3d8c, (q15_t)0x8fc5, (q15_t)0x3d86, (q15_t)0x8fc2, (q15_t)0x3d81, (q15_t)0x8fbf, (q15_t)0x3d7b, (q15_t)0x8fbc,
+ (q15_t)0x3d76, (q15_t)0x8fb9, (q15_t)0x3d70, (q15_t)0x8fb6, (q15_t)0x3d6b, (q15_t)0x8fb3, (q15_t)0x3d65, (q15_t)0x8fb0,
+ (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d5a, (q15_t)0x8faa, (q15_t)0x3d55, (q15_t)0x8fa7, (q15_t)0x3d4f, (q15_t)0x8fa4,
+ (q15_t)0x3d49, (q15_t)0x8fa1, (q15_t)0x3d44, (q15_t)0x8f9e, (q15_t)0x3d3e, (q15_t)0x8f9b, (q15_t)0x3d39, (q15_t)0x8f98,
+ (q15_t)0x3d33, (q15_t)0x8f95, (q15_t)0x3d2e, (q15_t)0x8f92, (q15_t)0x3d28, (q15_t)0x8f8f, (q15_t)0x3d23, (q15_t)0x8f8c,
+ (q15_t)0x3d1d, (q15_t)0x8f89, (q15_t)0x3d18, (q15_t)0x8f86, (q15_t)0x3d12, (q15_t)0x8f83, (q15_t)0x3d0d, (q15_t)0x8f80,
+ (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3d02, (q15_t)0x8f7a, (q15_t)0x3cfc, (q15_t)0x8f77, (q15_t)0x3cf7, (q15_t)0x8f74,
+ (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cec, (q15_t)0x8f6e, (q15_t)0x3ce6, (q15_t)0x8f6b, (q15_t)0x3ce1, (q15_t)0x8f68,
+ (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cd6, (q15_t)0x8f62, (q15_t)0x3cd0, (q15_t)0x8f5f, (q15_t)0x3cca, (q15_t)0x8f5c,
+ (q15_t)0x3cc5, (q15_t)0x8f59, (q15_t)0x3cbf, (q15_t)0x8f56, (q15_t)0x3cba, (q15_t)0x8f53, (q15_t)0x3cb4, (q15_t)0x8f50,
+ (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3ca9, (q15_t)0x8f4a, (q15_t)0x3ca4, (q15_t)0x8f47, (q15_t)0x3c9e, (q15_t)0x8f44,
+ (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c93, (q15_t)0x8f3e, (q15_t)0x3c8e, (q15_t)0x8f3b, (q15_t)0x3c88, (q15_t)0x8f38,
+ (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c7d, (q15_t)0x8f32, (q15_t)0x3c77, (q15_t)0x8f2f, (q15_t)0x3c72, (q15_t)0x8f2d,
+ (q15_t)0x3c6c, (q15_t)0x8f2a, (q15_t)0x3c67, (q15_t)0x8f27, (q15_t)0x3c61, (q15_t)0x8f24, (q15_t)0x3c5c, (q15_t)0x8f21,
+ (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c51, (q15_t)0x8f1b, (q15_t)0x3c4b, (q15_t)0x8f18, (q15_t)0x3c46, (q15_t)0x8f15,
+ (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c3b, (q15_t)0x8f0f, (q15_t)0x3c35, (q15_t)0x8f0c, (q15_t)0x3c2f, (q15_t)0x8f09,
+ (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c24, (q15_t)0x8f03, (q15_t)0x3c1f, (q15_t)0x8f00, (q15_t)0x3c19, (q15_t)0x8efd,
+ (q15_t)0x3c14, (q15_t)0x8efa, (q15_t)0x3c0e, (q15_t)0x8ef7, (q15_t)0x3c09, (q15_t)0x8ef4, (q15_t)0x3c03, (q15_t)0x8ef1,
+ (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3bf8, (q15_t)0x8eec, (q15_t)0x3bf2, (q15_t)0x8ee9, (q15_t)0x3bed, (q15_t)0x8ee6,
+ (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3be2, (q15_t)0x8ee0, (q15_t)0x3bdc, (q15_t)0x8edd, (q15_t)0x3bd7, (q15_t)0x8eda,
+ (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bcc, (q15_t)0x8ed4, (q15_t)0x3bc6, (q15_t)0x8ed1, (q15_t)0x3bc0, (q15_t)0x8ece,
+ (q15_t)0x3bbb, (q15_t)0x8ecb, (q15_t)0x3bb5, (q15_t)0x8ec8, (q15_t)0x3bb0, (q15_t)0x8ec5, (q15_t)0x3baa, (q15_t)0x8ec2,
+ (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b9f, (q15_t)0x8ebd, (q15_t)0x3b99, (q15_t)0x8eba, (q15_t)0x3b94, (q15_t)0x8eb7,
+ (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b89, (q15_t)0x8eb1, (q15_t)0x3b83, (q15_t)0x8eae, (q15_t)0x3b7e, (q15_t)0x8eab,
+ (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b73, (q15_t)0x8ea5, (q15_t)0x3b6d, (q15_t)0x8ea2, (q15_t)0x3b67, (q15_t)0x8e9f,
+ (q15_t)0x3b62, (q15_t)0x8e9c, (q15_t)0x3b5c, (q15_t)0x8e99, (q15_t)0x3b57, (q15_t)0x8e97, (q15_t)0x3b51, (q15_t)0x8e94,
+ (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b46, (q15_t)0x8e8e, (q15_t)0x3b40, (q15_t)0x8e8b, (q15_t)0x3b3b, (q15_t)0x8e88,
+ (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b30, (q15_t)0x8e82, (q15_t)0x3b2a, (q15_t)0x8e7f, (q15_t)0x3b25, (q15_t)0x8e7c,
+ (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b19, (q15_t)0x8e77, (q15_t)0x3b14, (q15_t)0x8e74, (q15_t)0x3b0e, (q15_t)0x8e71,
+ (q15_t)0x3b09, (q15_t)0x8e6e, (q15_t)0x3b03, (q15_t)0x8e6b, (q15_t)0x3afe, (q15_t)0x8e68, (q15_t)0x3af8, (q15_t)0x8e65,
+ (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3aed, (q15_t)0x8e5f, (q15_t)0x3ae7, (q15_t)0x8e5d, (q15_t)0x3ae2, (q15_t)0x8e5a,
+ (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ad7, (q15_t)0x8e54, (q15_t)0x3ad1, (q15_t)0x8e51, (q15_t)0x3acb, (q15_t)0x8e4e,
+ (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3ac0, (q15_t)0x8e48, (q15_t)0x3abb, (q15_t)0x8e45, (q15_t)0x3ab5, (q15_t)0x8e43,
+ (q15_t)0x3aaf, (q15_t)0x8e40, (q15_t)0x3aaa, (q15_t)0x8e3d, (q15_t)0x3aa4, (q15_t)0x8e3a, (q15_t)0x3a9f, (q15_t)0x8e37,
+ (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a94, (q15_t)0x8e31, (q15_t)0x3a8e, (q15_t)0x8e2e, (q15_t)0x3a88, (q15_t)0x8e2c,
+ (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a7d, (q15_t)0x8e26, (q15_t)0x3a78, (q15_t)0x8e23, (q15_t)0x3a72, (q15_t)0x8e20,
+ (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a67, (q15_t)0x8e1a, (q15_t)0x3a61, (q15_t)0x8e17, (q15_t)0x3a5c, (q15_t)0x8e15,
+ (q15_t)0x3a56, (q15_t)0x8e12, (q15_t)0x3a50, (q15_t)0x8e0f, (q15_t)0x3a4b, (q15_t)0x8e0c, (q15_t)0x3a45, (q15_t)0x8e09,
+ (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a3a, (q15_t)0x8e03, (q15_t)0x3a34, (q15_t)0x8e01, (q15_t)0x3a2f, (q15_t)0x8dfe,
+ (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a24, (q15_t)0x8df8, (q15_t)0x3a1e, (q15_t)0x8df5, (q15_t)0x3a19, (q15_t)0x8df2,
+ (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x3a0d, (q15_t)0x8ded, (q15_t)0x3a08, (q15_t)0x8dea, (q15_t)0x3a02, (q15_t)0x8de7,
+ (q15_t)0x39fd, (q15_t)0x8de4, (q15_t)0x39f7, (q15_t)0x8de1, (q15_t)0x39f1, (q15_t)0x8dde, (q15_t)0x39ec, (q15_t)0x8ddc,
+ (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39e0, (q15_t)0x8dd6, (q15_t)0x39db, (q15_t)0x8dd3, (q15_t)0x39d5, (q15_t)0x8dd0,
+ (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39ca, (q15_t)0x8dca, (q15_t)0x39c4, (q15_t)0x8dc8, (q15_t)0x39bf, (q15_t)0x8dc5,
+ (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39b4, (q15_t)0x8dbf, (q15_t)0x39ae, (q15_t)0x8dbc, (q15_t)0x39a8, (q15_t)0x8db9,
+ (q15_t)0x39a3, (q15_t)0x8db7, (q15_t)0x399d, (q15_t)0x8db4, (q15_t)0x3998, (q15_t)0x8db1, (q15_t)0x3992, (q15_t)0x8dae,
+ (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3987, (q15_t)0x8da9, (q15_t)0x3981, (q15_t)0x8da6, (q15_t)0x397c, (q15_t)0x8da3,
+ (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x3970, (q15_t)0x8d9d, (q15_t)0x396b, (q15_t)0x8d9a, (q15_t)0x3965, (q15_t)0x8d98,
+ (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x395a, (q15_t)0x8d92, (q15_t)0x3954, (q15_t)0x8d8f, (q15_t)0x394f, (q15_t)0x8d8c,
+ (q15_t)0x3949, (q15_t)0x8d8a, (q15_t)0x3943, (q15_t)0x8d87, (q15_t)0x393e, (q15_t)0x8d84, (q15_t)0x3938, (q15_t)0x8d81,
+ (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x392d, (q15_t)0x8d7b, (q15_t)0x3927, (q15_t)0x8d79, (q15_t)0x3922, (q15_t)0x8d76,
+ (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3916, (q15_t)0x8d70, (q15_t)0x3911, (q15_t)0x8d6d, (q15_t)0x390b, (q15_t)0x8d6b,
+ (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x3900, (q15_t)0x8d65, (q15_t)0x38fa, (q15_t)0x8d62, (q15_t)0x38f5, (q15_t)0x8d5f,
+ (q15_t)0x38ef, (q15_t)0x8d5d, (q15_t)0x38e9, (q15_t)0x8d5a, (q15_t)0x38e4, (q15_t)0x8d57, (q15_t)0x38de, (q15_t)0x8d54,
+ (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38d3, (q15_t)0x8d4f, (q15_t)0x38cd, (q15_t)0x8d4c, (q15_t)0x38c8, (q15_t)0x8d49,
+ (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38bc, (q15_t)0x8d44, (q15_t)0x38b7, (q15_t)0x8d41, (q15_t)0x38b1, (q15_t)0x8d3e,
+ (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x38a6, (q15_t)0x8d38, (q15_t)0x38a0, (q15_t)0x8d36, (q15_t)0x389b, (q15_t)0x8d33,
+ (q15_t)0x3895, (q15_t)0x8d30, (q15_t)0x388f, (q15_t)0x8d2d, (q15_t)0x388a, (q15_t)0x8d2b, (q15_t)0x3884, (q15_t)0x8d28,
+ (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3879, (q15_t)0x8d22, (q15_t)0x3873, (q15_t)0x8d1f, (q15_t)0x386d, (q15_t)0x8d1d,
+ (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3862, (q15_t)0x8d17, (q15_t)0x385d, (q15_t)0x8d14, (q15_t)0x3857, (q15_t)0x8d12,
+ (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x384c, (q15_t)0x8d0c, (q15_t)0x3846, (q15_t)0x8d09, (q15_t)0x3840, (q15_t)0x8d07,
+ (q15_t)0x383b, (q15_t)0x8d04, (q15_t)0x3835, (q15_t)0x8d01, (q15_t)0x382f, (q15_t)0x8cfe, (q15_t)0x382a, (q15_t)0x8cfb,
+ (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x381e, (q15_t)0x8cf6, (q15_t)0x3819, (q15_t)0x8cf3, (q15_t)0x3813, (q15_t)0x8cf0,
+ (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x3808, (q15_t)0x8ceb, (q15_t)0x3802, (q15_t)0x8ce8, (q15_t)0x37fd, (q15_t)0x8ce5,
+ (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37f1, (q15_t)0x8ce0, (q15_t)0x37ec, (q15_t)0x8cdd, (q15_t)0x37e6, (q15_t)0x8cda,
+ (q15_t)0x37e0, (q15_t)0x8cd8, (q15_t)0x37db, (q15_t)0x8cd5, (q15_t)0x37d5, (q15_t)0x8cd2, (q15_t)0x37cf, (q15_t)0x8cd0,
+ (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37c4, (q15_t)0x8cca, (q15_t)0x37be, (q15_t)0x8cc7, (q15_t)0x37b9, (q15_t)0x8cc5,
+ (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x37ad, (q15_t)0x8cbf, (q15_t)0x37a8, (q15_t)0x8cbc, (q15_t)0x37a2, (q15_t)0x8cba,
+ (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3797, (q15_t)0x8cb4, (q15_t)0x3791, (q15_t)0x8cb1, (q15_t)0x378b, (q15_t)0x8caf,
+ (q15_t)0x3786, (q15_t)0x8cac, (q15_t)0x3780, (q15_t)0x8ca9, (q15_t)0x377a, (q15_t)0x8ca7, (q15_t)0x3775, (q15_t)0x8ca4,
+ (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3769, (q15_t)0x8c9e, (q15_t)0x3764, (q15_t)0x8c9c, (q15_t)0x375e, (q15_t)0x8c99,
+ (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3753, (q15_t)0x8c94, (q15_t)0x374d, (q15_t)0x8c91, (q15_t)0x3747, (q15_t)0x8c8e,
+ (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x373c, (q15_t)0x8c89, (q15_t)0x3736, (q15_t)0x8c86, (q15_t)0x3731, (q15_t)0x8c83,
+ (q15_t)0x372b, (q15_t)0x8c81, (q15_t)0x3725, (q15_t)0x8c7e, (q15_t)0x3720, (q15_t)0x8c7b, (q15_t)0x371a, (q15_t)0x8c78,
+ (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x370f, (q15_t)0x8c73, (q15_t)0x3709, (q15_t)0x8c70, (q15_t)0x3703, (q15_t)0x8c6e,
+ (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36f8, (q15_t)0x8c68, (q15_t)0x36f2, (q15_t)0x8c65, (q15_t)0x36ed, (q15_t)0x8c63,
+ (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36e1, (q15_t)0x8c5d, (q15_t)0x36dc, (q15_t)0x8c5b, (q15_t)0x36d6, (q15_t)0x8c58,
+ (q15_t)0x36d0, (q15_t)0x8c55, (q15_t)0x36cb, (q15_t)0x8c53, (q15_t)0x36c5, (q15_t)0x8c50, (q15_t)0x36bf, (q15_t)0x8c4d,
+ (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36b4, (q15_t)0x8c48, (q15_t)0x36ae, (q15_t)0x8c45, (q15_t)0x36a9, (q15_t)0x8c43,
+ (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x369d, (q15_t)0x8c3d, (q15_t)0x3698, (q15_t)0x8c3a, (q15_t)0x3692, (q15_t)0x8c38,
+ (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3686, (q15_t)0x8c32, (q15_t)0x3681, (q15_t)0x8c30, (q15_t)0x367b, (q15_t)0x8c2d,
+ (q15_t)0x3675, (q15_t)0x8c2a, (q15_t)0x3670, (q15_t)0x8c28, (q15_t)0x366a, (q15_t)0x8c25, (q15_t)0x3664, (q15_t)0x8c22,
+ (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3659, (q15_t)0x8c1d, (q15_t)0x3653, (q15_t)0x8c1a, (q15_t)0x364e, (q15_t)0x8c18,
+ (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3642, (q15_t)0x8c12, (q15_t)0x363d, (q15_t)0x8c10, (q15_t)0x3637, (q15_t)0x8c0d,
+ (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x362b, (q15_t)0x8c08, (q15_t)0x3626, (q15_t)0x8c05, (q15_t)0x3620, (q15_t)0x8c02,
+ (q15_t)0x361a, (q15_t)0x8c00, (q15_t)0x3615, (q15_t)0x8bfd, (q15_t)0x360f, (q15_t)0x8bfa, (q15_t)0x3609, (q15_t)0x8bf8,
+ (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35fe, (q15_t)0x8bf3, (q15_t)0x35f8, (q15_t)0x8bf0, (q15_t)0x35f3, (q15_t)0x8bed,
+ (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35e7, (q15_t)0x8be8, (q15_t)0x35e1, (q15_t)0x8be5, (q15_t)0x35dc, (q15_t)0x8be3,
+ (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35d0, (q15_t)0x8bdd, (q15_t)0x35cb, (q15_t)0x8bdb, (q15_t)0x35c5, (q15_t)0x8bd8,
+ (q15_t)0x35bf, (q15_t)0x8bd5, (q15_t)0x35ba, (q15_t)0x8bd3, (q15_t)0x35b4, (q15_t)0x8bd0, (q15_t)0x35ae, (q15_t)0x8bce,
+ (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x35a3, (q15_t)0x8bc8, (q15_t)0x359d, (q15_t)0x8bc6, (q15_t)0x3597, (q15_t)0x8bc3,
+ (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x358c, (q15_t)0x8bbe, (q15_t)0x3586, (q15_t)0x8bbb, (q15_t)0x3580, (q15_t)0x8bb8,
+ (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3575, (q15_t)0x8bb3, (q15_t)0x356f, (q15_t)0x8bb1, (q15_t)0x356a, (q15_t)0x8bae,
+ (q15_t)0x3564, (q15_t)0x8bab, (q15_t)0x355e, (q15_t)0x8ba9, (q15_t)0x3558, (q15_t)0x8ba6, (q15_t)0x3553, (q15_t)0x8ba4,
+ (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3547, (q15_t)0x8b9e, (q15_t)0x3542, (q15_t)0x8b9c, (q15_t)0x353c, (q15_t)0x8b99,
+ (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x3530, (q15_t)0x8b94, (q15_t)0x352b, (q15_t)0x8b91, (q15_t)0x3525, (q15_t)0x8b8f,
+ (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x351a, (q15_t)0x8b89, (q15_t)0x3514, (q15_t)0x8b87, (q15_t)0x350e, (q15_t)0x8b84,
+ (q15_t)0x3508, (q15_t)0x8b82, (q15_t)0x3503, (q15_t)0x8b7f, (q15_t)0x34fd, (q15_t)0x8b7c, (q15_t)0x34f7, (q15_t)0x8b7a,
+ (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34ec, (q15_t)0x8b75, (q15_t)0x34e6, (q15_t)0x8b72, (q15_t)0x34e0, (q15_t)0x8b6f,
+ (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34d5, (q15_t)0x8b6a, (q15_t)0x34cf, (q15_t)0x8b68, (q15_t)0x34ca, (q15_t)0x8b65,
+ (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34be, (q15_t)0x8b60, (q15_t)0x34b8, (q15_t)0x8b5d, (q15_t)0x34b3, (q15_t)0x8b5b,
+ (q15_t)0x34ad, (q15_t)0x8b58, (q15_t)0x34a7, (q15_t)0x8b55, (q15_t)0x34a1, (q15_t)0x8b53, (q15_t)0x349c, (q15_t)0x8b50,
+ (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x3490, (q15_t)0x8b4b, (q15_t)0x348b, (q15_t)0x8b49, (q15_t)0x3485, (q15_t)0x8b46,
+ (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3479, (q15_t)0x8b41, (q15_t)0x3474, (q15_t)0x8b3e, (q15_t)0x346e, (q15_t)0x8b3c,
+ (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3462, (q15_t)0x8b37, (q15_t)0x345d, (q15_t)0x8b34, (q15_t)0x3457, (q15_t)0x8b31,
+ (q15_t)0x3451, (q15_t)0x8b2f, (q15_t)0x344b, (q15_t)0x8b2c, (q15_t)0x3446, (q15_t)0x8b2a, (q15_t)0x3440, (q15_t)0x8b27,
+ (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3435, (q15_t)0x8b22, (q15_t)0x342f, (q15_t)0x8b1f, (q15_t)0x3429, (q15_t)0x8b1d,
+ (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x341e, (q15_t)0x8b18, (q15_t)0x3418, (q15_t)0x8b15, (q15_t)0x3412, (q15_t)0x8b13,
+ (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x3407, (q15_t)0x8b0e, (q15_t)0x3401, (q15_t)0x8b0b, (q15_t)0x33fb, (q15_t)0x8b08,
+ (q15_t)0x33f5, (q15_t)0x8b06, (q15_t)0x33f0, (q15_t)0x8b03, (q15_t)0x33ea, (q15_t)0x8b01, (q15_t)0x33e4, (q15_t)0x8afe,
+ (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33d9, (q15_t)0x8af9, (q15_t)0x33d3, (q15_t)0x8af7, (q15_t)0x33cd, (q15_t)0x8af4,
+ (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33c2, (q15_t)0x8aef, (q15_t)0x33bc, (q15_t)0x8aec, (q15_t)0x33b6, (q15_t)0x8aea,
+ (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x33ab, (q15_t)0x8ae5, (q15_t)0x33a5, (q15_t)0x8ae2, (q15_t)0x339f, (q15_t)0x8ae0,
+ (q15_t)0x3399, (q15_t)0x8add, (q15_t)0x3394, (q15_t)0x8adb, (q15_t)0x338e, (q15_t)0x8ad8, (q15_t)0x3388, (q15_t)0x8ad6,
+ (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x337d, (q15_t)0x8ad1, (q15_t)0x3377, (q15_t)0x8ace, (q15_t)0x3371, (q15_t)0x8acb,
+ (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3366, (q15_t)0x8ac6, (q15_t)0x3360, (q15_t)0x8ac4, (q15_t)0x335a, (q15_t)0x8ac1,
+ (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x334f, (q15_t)0x8abc, (q15_t)0x3349, (q15_t)0x8aba, (q15_t)0x3343, (q15_t)0x8ab7,
+ (q15_t)0x333d, (q15_t)0x8ab5, (q15_t)0x3338, (q15_t)0x8ab2, (q15_t)0x3332, (q15_t)0x8ab0, (q15_t)0x332c, (q15_t)0x8aad,
+ (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x3321, (q15_t)0x8aa8, (q15_t)0x331b, (q15_t)0x8aa6, (q15_t)0x3315, (q15_t)0x8aa3,
+ (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x330a, (q15_t)0x8a9e, (q15_t)0x3304, (q15_t)0x8a9c, (q15_t)0x32fe, (q15_t)0x8a99,
+ (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32f3, (q15_t)0x8a94, (q15_t)0x32ed, (q15_t)0x8a92, (q15_t)0x32e7, (q15_t)0x8a8f,
+ (q15_t)0x32e1, (q15_t)0x8a8d, (q15_t)0x32db, (q15_t)0x8a8a, (q15_t)0x32d6, (q15_t)0x8a88, (q15_t)0x32d0, (q15_t)0x8a85,
+ (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32c4, (q15_t)0x8a80, (q15_t)0x32bf, (q15_t)0x8a7e, (q15_t)0x32b9, (q15_t)0x8a7b,
+ (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x32ad, (q15_t)0x8a76, (q15_t)0x32a8, (q15_t)0x8a74, (q15_t)0x32a2, (q15_t)0x8a71,
+ (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3296, (q15_t)0x8a6c, (q15_t)0x3290, (q15_t)0x8a6a, (q15_t)0x328b, (q15_t)0x8a67,
+ (q15_t)0x3285, (q15_t)0x8a65, (q15_t)0x327f, (q15_t)0x8a62, (q15_t)0x3279, (q15_t)0x8a60, (q15_t)0x3274, (q15_t)0x8a5d,
+ (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3268, (q15_t)0x8a59, (q15_t)0x3262, (q15_t)0x8a56, (q15_t)0x325d, (q15_t)0x8a54,
+ (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3251, (q15_t)0x8a4f, (q15_t)0x324b, (q15_t)0x8a4c, (q15_t)0x3245, (q15_t)0x8a4a,
+ (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x323a, (q15_t)0x8a45, (q15_t)0x3234, (q15_t)0x8a42, (q15_t)0x322e, (q15_t)0x8a40,
+ (q15_t)0x3228, (q15_t)0x8a3d, (q15_t)0x3223, (q15_t)0x8a3b, (q15_t)0x321d, (q15_t)0x8a38, (q15_t)0x3217, (q15_t)0x8a36,
+ (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x320c, (q15_t)0x8a31, (q15_t)0x3206, (q15_t)0x8a2f, (q15_t)0x3200, (q15_t)0x8a2c,
+ (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31f4, (q15_t)0x8a27, (q15_t)0x31ef, (q15_t)0x8a25, (q15_t)0x31e9, (q15_t)0x8a22,
+ (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31dd, (q15_t)0x8a1d, (q15_t)0x31d8, (q15_t)0x8a1b, (q15_t)0x31d2, (q15_t)0x8a19,
+ (q15_t)0x31cc, (q15_t)0x8a16, (q15_t)0x31c6, (q15_t)0x8a14, (q15_t)0x31c0, (q15_t)0x8a11, (q15_t)0x31bb, (q15_t)0x8a0f,
+ (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x31af, (q15_t)0x8a0a, (q15_t)0x31a9, (q15_t)0x8a07, (q15_t)0x31a3, (q15_t)0x8a05,
+ (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3198, (q15_t)0x8a00, (q15_t)0x3192, (q15_t)0x89fe, (q15_t)0x318c, (q15_t)0x89fb,
+ (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x3181, (q15_t)0x89f6, (q15_t)0x317b, (q15_t)0x89f4, (q15_t)0x3175, (q15_t)0x89f2,
+ (q15_t)0x316f, (q15_t)0x89ef, (q15_t)0x3169, (q15_t)0x89ed, (q15_t)0x3164, (q15_t)0x89ea, (q15_t)0x315e, (q15_t)0x89e8,
+ (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3152, (q15_t)0x89e3, (q15_t)0x314c, (q15_t)0x89e1, (q15_t)0x3147, (q15_t)0x89de,
+ (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x313b, (q15_t)0x89d9, (q15_t)0x3135, (q15_t)0x89d7, (q15_t)0x312f, (q15_t)0x89d5,
+ (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3124, (q15_t)0x89d0, (q15_t)0x311e, (q15_t)0x89cd, (q15_t)0x3118, (q15_t)0x89cb,
+ (q15_t)0x3112, (q15_t)0x89c8, (q15_t)0x310d, (q15_t)0x89c6, (q15_t)0x3107, (q15_t)0x89c4, (q15_t)0x3101, (q15_t)0x89c1,
+ (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30f5, (q15_t)0x89bc, (q15_t)0x30f0, (q15_t)0x89ba, (q15_t)0x30ea, (q15_t)0x89b8,
+ (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30de, (q15_t)0x89b3, (q15_t)0x30d8, (q15_t)0x89b0, (q15_t)0x30d3, (q15_t)0x89ae,
+ (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30c7, (q15_t)0x89a9, (q15_t)0x30c1, (q15_t)0x89a7, (q15_t)0x30bb, (q15_t)0x89a4,
+ (q15_t)0x30b6, (q15_t)0x89a2, (q15_t)0x30b0, (q15_t)0x89a0, (q15_t)0x30aa, (q15_t)0x899d, (q15_t)0x30a4, (q15_t)0x899b,
+ (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3099, (q15_t)0x8996, (q15_t)0x3093, (q15_t)0x8994, (q15_t)0x308d, (q15_t)0x8991,
+ (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3081, (q15_t)0x898d, (q15_t)0x307b, (q15_t)0x898a, (q15_t)0x3076, (q15_t)0x8988,
+ (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x306a, (q15_t)0x8983, (q15_t)0x3064, (q15_t)0x8981, (q15_t)0x305e, (q15_t)0x897e,
+ (q15_t)0x3059, (q15_t)0x897c, (q15_t)0x3053, (q15_t)0x897a, (q15_t)0x304d, (q15_t)0x8977, (q15_t)0x3047, (q15_t)0x8975,
+ (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x303b, (q15_t)0x8970, (q15_t)0x3036, (q15_t)0x896e, (q15_t)0x3030, (q15_t)0x896b,
+ (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3024, (q15_t)0x8967, (q15_t)0x301e, (q15_t)0x8964, (q15_t)0x3019, (q15_t)0x8962,
+ (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x300d, (q15_t)0x895d, (q15_t)0x3007, (q15_t)0x895b, (q15_t)0x3001, (q15_t)0x8958,
+ (q15_t)0x2ffb, (q15_t)0x8956, (q15_t)0x2ff6, (q15_t)0x8954, (q15_t)0x2ff0, (q15_t)0x8951, (q15_t)0x2fea, (q15_t)0x894f,
+ (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fde, (q15_t)0x894a, (q15_t)0x2fd8, (q15_t)0x8948, (q15_t)0x2fd3, (q15_t)0x8946,
+ (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fc7, (q15_t)0x8941, (q15_t)0x2fc1, (q15_t)0x893f, (q15_t)0x2fbb, (q15_t)0x893c,
+ (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2fb0, (q15_t)0x8938, (q15_t)0x2faa, (q15_t)0x8935, (q15_t)0x2fa4, (q15_t)0x8933,
+ (q15_t)0x2f9e, (q15_t)0x8931, (q15_t)0x2f98, (q15_t)0x892e, (q15_t)0x2f92, (q15_t)0x892c, (q15_t)0x2f8d, (q15_t)0x892a,
+ (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f81, (q15_t)0x8925, (q15_t)0x2f7b, (q15_t)0x8923, (q15_t)0x2f75, (q15_t)0x8920,
+ (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f6a, (q15_t)0x891c, (q15_t)0x2f64, (q15_t)0x8919, (q15_t)0x2f5e, (q15_t)0x8917,
+ (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f52, (q15_t)0x8912, (q15_t)0x2f4c, (q15_t)0x8910, (q15_t)0x2f47, (q15_t)0x890e,
+ (q15_t)0x2f41, (q15_t)0x890b, (q15_t)0x2f3b, (q15_t)0x8909, (q15_t)0x2f35, (q15_t)0x8907, (q15_t)0x2f2f, (q15_t)0x8904,
+ (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f24, (q15_t)0x8900, (q15_t)0x2f1e, (q15_t)0x88fd, (q15_t)0x2f18, (q15_t)0x88fb,
+ (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2f0c, (q15_t)0x88f6, (q15_t)0x2f06, (q15_t)0x88f4, (q15_t)0x2f01, (q15_t)0x88f2,
+ (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ef5, (q15_t)0x88ed, (q15_t)0x2eef, (q15_t)0x88eb, (q15_t)0x2ee9, (q15_t)0x88e9,
+ (q15_t)0x2ee3, (q15_t)0x88e6, (q15_t)0x2edd, (q15_t)0x88e4, (q15_t)0x2ed8, (q15_t)0x88e2, (q15_t)0x2ed2, (q15_t)0x88df,
+ (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2ec6, (q15_t)0x88db, (q15_t)0x2ec0, (q15_t)0x88d9, (q15_t)0x2eba, (q15_t)0x88d6,
+ (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2eaf, (q15_t)0x88d2, (q15_t)0x2ea9, (q15_t)0x88cf, (q15_t)0x2ea3, (q15_t)0x88cd,
+ (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e97, (q15_t)0x88c8, (q15_t)0x2e91, (q15_t)0x88c6, (q15_t)0x2e8c, (q15_t)0x88c4,
+ (q15_t)0x2e86, (q15_t)0x88c2, (q15_t)0x2e80, (q15_t)0x88bf, (q15_t)0x2e7a, (q15_t)0x88bd, (q15_t)0x2e74, (q15_t)0x88bb,
+ (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e68, (q15_t)0x88b6, (q15_t)0x2e63, (q15_t)0x88b4, (q15_t)0x2e5d, (q15_t)0x88b2,
+ (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e51, (q15_t)0x88ad, (q15_t)0x2e4b, (q15_t)0x88ab, (q15_t)0x2e45, (q15_t)0x88a9,
+ (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e3a, (q15_t)0x88a4, (q15_t)0x2e34, (q15_t)0x88a2, (q15_t)0x2e2e, (q15_t)0x88a0,
+ (q15_t)0x2e28, (q15_t)0x889d, (q15_t)0x2e22, (q15_t)0x889b, (q15_t)0x2e1c, (q15_t)0x8899, (q15_t)0x2e16, (q15_t)0x8896,
+ (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2e0b, (q15_t)0x8892, (q15_t)0x2e05, (q15_t)0x8890, (q15_t)0x2dff, (q15_t)0x888d,
+ (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2df3, (q15_t)0x8889, (q15_t)0x2ded, (q15_t)0x8887, (q15_t)0x2de7, (q15_t)0x8884,
+ (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2ddc, (q15_t)0x8880, (q15_t)0x2dd6, (q15_t)0x887e, (q15_t)0x2dd0, (q15_t)0x887b,
+ (q15_t)0x2dca, (q15_t)0x8879, (q15_t)0x2dc4, (q15_t)0x8877, (q15_t)0x2dbe, (q15_t)0x8875, (q15_t)0x2db9, (q15_t)0x8872,
+ (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2dad, (q15_t)0x886e, (q15_t)0x2da7, (q15_t)0x886c, (q15_t)0x2da1, (q15_t)0x8869,
+ (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d95, (q15_t)0x8865, (q15_t)0x2d8f, (q15_t)0x8863, (q15_t)0x2d8a, (q15_t)0x8860,
+ (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d7e, (q15_t)0x885c, (q15_t)0x2d78, (q15_t)0x885a, (q15_t)0x2d72, (q15_t)0x8858,
+ (q15_t)0x2d6c, (q15_t)0x8855, (q15_t)0x2d66, (q15_t)0x8853, (q15_t)0x2d60, (q15_t)0x8851, (q15_t)0x2d5b, (q15_t)0x884f,
+ (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d4f, (q15_t)0x884a, (q15_t)0x2d49, (q15_t)0x8848, (q15_t)0x2d43, (q15_t)0x8846,
+ (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d37, (q15_t)0x8841, (q15_t)0x2d31, (q15_t)0x883f, (q15_t)0x2d2c, (q15_t)0x883d,
+ (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d20, (q15_t)0x8838, (q15_t)0x2d1a, (q15_t)0x8836, (q15_t)0x2d14, (q15_t)0x8834,
+ (q15_t)0x2d0e, (q15_t)0x8832, (q15_t)0x2d08, (q15_t)0x8830, (q15_t)0x2d02, (q15_t)0x882d, (q15_t)0x2cfd, (q15_t)0x882b,
+ (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cf1, (q15_t)0x8827, (q15_t)0x2ceb, (q15_t)0x8825, (q15_t)0x2ce5, (q15_t)0x8822,
+ (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cd9, (q15_t)0x881e, (q15_t)0x2cd3, (q15_t)0x881c, (q15_t)0x2ccd, (q15_t)0x881a,
+ (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cc2, (q15_t)0x8815, (q15_t)0x2cbc, (q15_t)0x8813, (q15_t)0x2cb6, (q15_t)0x8811,
+ (q15_t)0x2cb0, (q15_t)0x880f, (q15_t)0x2caa, (q15_t)0x880c, (q15_t)0x2ca4, (q15_t)0x880a, (q15_t)0x2c9e, (q15_t)0x8808,
+ (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c93, (q15_t)0x8804, (q15_t)0x2c8d, (q15_t)0x8801, (q15_t)0x2c87, (q15_t)0x87ff,
+ (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c7b, (q15_t)0x87fb, (q15_t)0x2c75, (q15_t)0x87f9, (q15_t)0x2c6f, (q15_t)0x87f6,
+ (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c63, (q15_t)0x87f2, (q15_t)0x2c5e, (q15_t)0x87f0, (q15_t)0x2c58, (q15_t)0x87ee,
+ (q15_t)0x2c52, (q15_t)0x87ec, (q15_t)0x2c4c, (q15_t)0x87e9, (q15_t)0x2c46, (q15_t)0x87e7, (q15_t)0x2c40, (q15_t)0x87e5,
+ (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c34, (q15_t)0x87e1, (q15_t)0x2c2e, (q15_t)0x87df, (q15_t)0x2c29, (q15_t)0x87dc,
+ (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c1d, (q15_t)0x87d8, (q15_t)0x2c17, (q15_t)0x87d6, (q15_t)0x2c11, (q15_t)0x87d4,
+ (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2c05, (q15_t)0x87cf, (q15_t)0x2bff, (q15_t)0x87cd, (q15_t)0x2bf9, (q15_t)0x87cb,
+ (q15_t)0x2bf3, (q15_t)0x87c9, (q15_t)0x2bee, (q15_t)0x87c7, (q15_t)0x2be8, (q15_t)0x87c5, (q15_t)0x2be2, (q15_t)0x87c2,
+ (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bd6, (q15_t)0x87be, (q15_t)0x2bd0, (q15_t)0x87bc, (q15_t)0x2bca, (q15_t)0x87ba,
+ (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bbe, (q15_t)0x87b6, (q15_t)0x2bb8, (q15_t)0x87b3, (q15_t)0x2bb2, (q15_t)0x87b1,
+ (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2ba7, (q15_t)0x87ad, (q15_t)0x2ba1, (q15_t)0x87ab, (q15_t)0x2b9b, (q15_t)0x87a9,
+ (q15_t)0x2b95, (q15_t)0x87a7, (q15_t)0x2b8f, (q15_t)0x87a4, (q15_t)0x2b89, (q15_t)0x87a2, (q15_t)0x2b83, (q15_t)0x87a0,
+ (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b77, (q15_t)0x879c, (q15_t)0x2b71, (q15_t)0x879a, (q15_t)0x2b6c, (q15_t)0x8798,
+ (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b60, (q15_t)0x8793, (q15_t)0x2b5a, (q15_t)0x8791, (q15_t)0x2b54, (q15_t)0x878f,
+ (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b48, (q15_t)0x878b, (q15_t)0x2b42, (q15_t)0x8789, (q15_t)0x2b3c, (q15_t)0x8787,
+ (q15_t)0x2b36, (q15_t)0x8784, (q15_t)0x2b30, (q15_t)0x8782, (q15_t)0x2b2b, (q15_t)0x8780, (q15_t)0x2b25, (q15_t)0x877e,
+ (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b19, (q15_t)0x877a, (q15_t)0x2b13, (q15_t)0x8778, (q15_t)0x2b0d, (q15_t)0x8776,
+ (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2b01, (q15_t)0x8771, (q15_t)0x2afb, (q15_t)0x876f, (q15_t)0x2af5, (q15_t)0x876d,
+ (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ae9, (q15_t)0x8769, (q15_t)0x2ae4, (q15_t)0x8767, (q15_t)0x2ade, (q15_t)0x8765,
+ (q15_t)0x2ad8, (q15_t)0x8763, (q15_t)0x2ad2, (q15_t)0x8761, (q15_t)0x2acc, (q15_t)0x875e, (q15_t)0x2ac6, (q15_t)0x875c,
+ (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aba, (q15_t)0x8758, (q15_t)0x2ab4, (q15_t)0x8756, (q15_t)0x2aae, (q15_t)0x8754,
+ (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2aa2, (q15_t)0x8750, (q15_t)0x2a9c, (q15_t)0x874e, (q15_t)0x2a97, (q15_t)0x874c,
+ (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a8b, (q15_t)0x8747, (q15_t)0x2a85, (q15_t)0x8745, (q15_t)0x2a7f, (q15_t)0x8743,
+ (q15_t)0x2a79, (q15_t)0x8741, (q15_t)0x2a73, (q15_t)0x873f, (q15_t)0x2a6d, (q15_t)0x873d, (q15_t)0x2a67, (q15_t)0x873b,
+ (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a5b, (q15_t)0x8737, (q15_t)0x2a55, (q15_t)0x8735, (q15_t)0x2a4f, (q15_t)0x8733,
+ (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a44, (q15_t)0x872e, (q15_t)0x2a3e, (q15_t)0x872c, (q15_t)0x2a38, (q15_t)0x872a,
+ (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a2c, (q15_t)0x8726, (q15_t)0x2a26, (q15_t)0x8724, (q15_t)0x2a20, (q15_t)0x8722,
+ (q15_t)0x2a1a, (q15_t)0x8720, (q15_t)0x2a14, (q15_t)0x871e, (q15_t)0x2a0e, (q15_t)0x871c, (q15_t)0x2a08, (q15_t)0x871a,
+ (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29fc, (q15_t)0x8716, (q15_t)0x29f6, (q15_t)0x8714, (q15_t)0x29f0, (q15_t)0x8712,
+ (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29e5, (q15_t)0x870d, (q15_t)0x29df, (q15_t)0x870b, (q15_t)0x29d9, (q15_t)0x8709,
+ (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29cd, (q15_t)0x8705, (q15_t)0x29c7, (q15_t)0x8703, (q15_t)0x29c1, (q15_t)0x8701,
+ (q15_t)0x29bb, (q15_t)0x86ff, (q15_t)0x29b5, (q15_t)0x86fd, (q15_t)0x29af, (q15_t)0x86fb, (q15_t)0x29a9, (q15_t)0x86f9,
+ (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x299d, (q15_t)0x86f5, (q15_t)0x2997, (q15_t)0x86f3, (q15_t)0x2991, (q15_t)0x86f1,
+ (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2986, (q15_t)0x86ed, (q15_t)0x2980, (q15_t)0x86eb, (q15_t)0x297a, (q15_t)0x86e9,
+ (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x296e, (q15_t)0x86e4, (q15_t)0x2968, (q15_t)0x86e2, (q15_t)0x2962, (q15_t)0x86e0,
+ (q15_t)0x295c, (q15_t)0x86de, (q15_t)0x2956, (q15_t)0x86dc, (q15_t)0x2950, (q15_t)0x86da, (q15_t)0x294a, (q15_t)0x86d8,
+ (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x293e, (q15_t)0x86d4, (q15_t)0x2938, (q15_t)0x86d2, (q15_t)0x2932, (q15_t)0x86d0,
+ (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2926, (q15_t)0x86cc, (q15_t)0x2920, (q15_t)0x86ca, (q15_t)0x291b, (q15_t)0x86c8,
+ (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x290f, (q15_t)0x86c4, (q15_t)0x2909, (q15_t)0x86c2, (q15_t)0x2903, (q15_t)0x86c0,
+ (q15_t)0x28fd, (q15_t)0x86be, (q15_t)0x28f7, (q15_t)0x86bc, (q15_t)0x28f1, (q15_t)0x86ba, (q15_t)0x28eb, (q15_t)0x86b8,
+ (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28df, (q15_t)0x86b4, (q15_t)0x28d9, (q15_t)0x86b2, (q15_t)0x28d3, (q15_t)0x86b0,
+ (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28c7, (q15_t)0x86ac, (q15_t)0x28c1, (q15_t)0x86aa, (q15_t)0x28bb, (q15_t)0x86a8,
+ (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x28af, (q15_t)0x86a4, (q15_t)0x28a9, (q15_t)0x86a2, (q15_t)0x28a3, (q15_t)0x86a0,
+ (q15_t)0x289d, (q15_t)0x869e, (q15_t)0x2898, (q15_t)0x869c, (q15_t)0x2892, (q15_t)0x869a, (q15_t)0x288c, (q15_t)0x8698,
+ (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x2880, (q15_t)0x8694, (q15_t)0x287a, (q15_t)0x8692, (q15_t)0x2874, (q15_t)0x8690,
+ (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2868, (q15_t)0x868c, (q15_t)0x2862, (q15_t)0x868a, (q15_t)0x285c, (q15_t)0x8688,
+ (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x2850, (q15_t)0x8684, (q15_t)0x284a, (q15_t)0x8682, (q15_t)0x2844, (q15_t)0x8680,
+ (q15_t)0x283e, (q15_t)0x867e, (q15_t)0x2838, (q15_t)0x867c, (q15_t)0x2832, (q15_t)0x867a, (q15_t)0x282c, (q15_t)0x8678,
+ (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x2820, (q15_t)0x8674, (q15_t)0x281a, (q15_t)0x8672, (q15_t)0x2814, (q15_t)0x8670,
+ (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x2808, (q15_t)0x866d, (q15_t)0x2802, (q15_t)0x866b, (q15_t)0x27fc, (q15_t)0x8669,
+ (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27f1, (q15_t)0x8665, (q15_t)0x27eb, (q15_t)0x8663, (q15_t)0x27e5, (q15_t)0x8661,
+ (q15_t)0x27df, (q15_t)0x865f, (q15_t)0x27d9, (q15_t)0x865d, (q15_t)0x27d3, (q15_t)0x865b, (q15_t)0x27cd, (q15_t)0x8659,
+ (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27c1, (q15_t)0x8655, (q15_t)0x27bb, (q15_t)0x8653, (q15_t)0x27b5, (q15_t)0x8651,
+ (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x27a9, (q15_t)0x864d, (q15_t)0x27a3, (q15_t)0x864b, (q15_t)0x279d, (q15_t)0x8649,
+ (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x2791, (q15_t)0x8645, (q15_t)0x278b, (q15_t)0x8644, (q15_t)0x2785, (q15_t)0x8642,
+ (q15_t)0x277f, (q15_t)0x8640, (q15_t)0x2779, (q15_t)0x863e, (q15_t)0x2773, (q15_t)0x863c, (q15_t)0x276d, (q15_t)0x863a,
+ (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2761, (q15_t)0x8636, (q15_t)0x275b, (q15_t)0x8634, (q15_t)0x2755, (q15_t)0x8632,
+ (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2749, (q15_t)0x862e, (q15_t)0x2743, (q15_t)0x862c, (q15_t)0x273d, (q15_t)0x862a,
+ (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x2731, (q15_t)0x8627, (q15_t)0x272b, (q15_t)0x8625, (q15_t)0x2725, (q15_t)0x8623,
+ (q15_t)0x271f, (q15_t)0x8621, (q15_t)0x2719, (q15_t)0x861f, (q15_t)0x2713, (q15_t)0x861d, (q15_t)0x270d, (q15_t)0x861b,
+ (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x2701, (q15_t)0x8617, (q15_t)0x26fb, (q15_t)0x8615, (q15_t)0x26f5, (q15_t)0x8613,
+ (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26e9, (q15_t)0x8610, (q15_t)0x26e4, (q15_t)0x860e, (q15_t)0x26de, (q15_t)0x860c,
+ (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26d2, (q15_t)0x8608, (q15_t)0x26cc, (q15_t)0x8606, (q15_t)0x26c6, (q15_t)0x8604,
+ (q15_t)0x26c0, (q15_t)0x8602, (q15_t)0x26ba, (q15_t)0x8600, (q15_t)0x26b4, (q15_t)0x85fe, (q15_t)0x26ae, (q15_t)0x85fc,
+ (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x26a2, (q15_t)0x85f9, (q15_t)0x269c, (q15_t)0x85f7, (q15_t)0x2696, (q15_t)0x85f5,
+ (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x268a, (q15_t)0x85f1, (q15_t)0x2684, (q15_t)0x85ef, (q15_t)0x267e, (q15_t)0x85ed,
+ (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2672, (q15_t)0x85ea, (q15_t)0x266c, (q15_t)0x85e8, (q15_t)0x2666, (q15_t)0x85e6,
+ (q15_t)0x2660, (q15_t)0x85e4, (q15_t)0x265a, (q15_t)0x85e2, (q15_t)0x2654, (q15_t)0x85e0, (q15_t)0x264e, (q15_t)0x85de,
+ (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2642, (q15_t)0x85da, (q15_t)0x263c, (q15_t)0x85d9, (q15_t)0x2636, (q15_t)0x85d7,
+ (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x262a, (q15_t)0x85d3, (q15_t)0x2624, (q15_t)0x85d1, (q15_t)0x261e, (q15_t)0x85cf,
+ (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2612, (q15_t)0x85cb, (q15_t)0x260c, (q15_t)0x85ca, (q15_t)0x2606, (q15_t)0x85c8,
+ (q15_t)0x2600, (q15_t)0x85c6, (q15_t)0x25fa, (q15_t)0x85c4, (q15_t)0x25f4, (q15_t)0x85c2, (q15_t)0x25ee, (q15_t)0x85c0,
+ (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25e2, (q15_t)0x85bd, (q15_t)0x25dc, (q15_t)0x85bb, (q15_t)0x25d6, (q15_t)0x85b9,
+ (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25ca, (q15_t)0x85b5, (q15_t)0x25c4, (q15_t)0x85b3, (q15_t)0x25be, (q15_t)0x85b1,
+ (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25b2, (q15_t)0x85ae, (q15_t)0x25ac, (q15_t)0x85ac, (q15_t)0x25a6, (q15_t)0x85aa,
+ (q15_t)0x25a0, (q15_t)0x85a8, (q15_t)0x259a, (q15_t)0x85a6, (q15_t)0x2594, (q15_t)0x85a4, (q15_t)0x258e, (q15_t)0x85a3,
+ (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2582, (q15_t)0x859f, (q15_t)0x257c, (q15_t)0x859d, (q15_t)0x2576, (q15_t)0x859b,
+ (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x256a, (q15_t)0x8598, (q15_t)0x2564, (q15_t)0x8596, (q15_t)0x255e, (q15_t)0x8594,
+ (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2552, (q15_t)0x8590, (q15_t)0x254c, (q15_t)0x858e, (q15_t)0x2546, (q15_t)0x858d,
+ (q15_t)0x2540, (q15_t)0x858b, (q15_t)0x253a, (q15_t)0x8589, (q15_t)0x2534, (q15_t)0x8587, (q15_t)0x252e, (q15_t)0x8585,
+ (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x2522, (q15_t)0x8582, (q15_t)0x251c, (q15_t)0x8580, (q15_t)0x2516, (q15_t)0x857e,
+ (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x2509, (q15_t)0x857a, (q15_t)0x2503, (q15_t)0x8579, (q15_t)0x24fd, (q15_t)0x8577,
+ (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24f1, (q15_t)0x8573, (q15_t)0x24eb, (q15_t)0x8571, (q15_t)0x24e5, (q15_t)0x856f,
+ (q15_t)0x24df, (q15_t)0x856e, (q15_t)0x24d9, (q15_t)0x856c, (q15_t)0x24d3, (q15_t)0x856a, (q15_t)0x24cd, (q15_t)0x8568,
+ (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24c1, (q15_t)0x8565, (q15_t)0x24bb, (q15_t)0x8563, (q15_t)0x24b5, (q15_t)0x8561,
+ (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x24a9, (q15_t)0x855d, (q15_t)0x24a3, (q15_t)0x855c, (q15_t)0x249d, (q15_t)0x855a,
+ (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x2491, (q15_t)0x8556, (q15_t)0x248b, (q15_t)0x8554, (q15_t)0x2485, (q15_t)0x8553,
+ (q15_t)0x247f, (q15_t)0x8551, (q15_t)0x2479, (q15_t)0x854f, (q15_t)0x2473, (q15_t)0x854d, (q15_t)0x246d, (q15_t)0x854b,
+ (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2461, (q15_t)0x8548, (q15_t)0x245b, (q15_t)0x8546, (q15_t)0x2455, (q15_t)0x8544,
+ (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2449, (q15_t)0x8541, (q15_t)0x2443, (q15_t)0x853f, (q15_t)0x243d, (q15_t)0x853d,
+ (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x2431, (q15_t)0x853a, (q15_t)0x242b, (q15_t)0x8538, (q15_t)0x2425, (q15_t)0x8536,
+ (q15_t)0x241f, (q15_t)0x8534, (q15_t)0x2419, (q15_t)0x8533, (q15_t)0x2413, (q15_t)0x8531, (q15_t)0x240d, (q15_t)0x852f,
+ (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x2401, (q15_t)0x852b, (q15_t)0x23fa, (q15_t)0x852a, (q15_t)0x23f4, (q15_t)0x8528,
+ (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23e8, (q15_t)0x8524, (q15_t)0x23e2, (q15_t)0x8523, (q15_t)0x23dc, (q15_t)0x8521,
+ (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23d0, (q15_t)0x851d, (q15_t)0x23ca, (q15_t)0x851c, (q15_t)0x23c4, (q15_t)0x851a,
+ (q15_t)0x23be, (q15_t)0x8518, (q15_t)0x23b8, (q15_t)0x8516, (q15_t)0x23b2, (q15_t)0x8515, (q15_t)0x23ac, (q15_t)0x8513,
+ (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x23a0, (q15_t)0x850f, (q15_t)0x239a, (q15_t)0x850e, (q15_t)0x2394, (q15_t)0x850c,
+ (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2388, (q15_t)0x8508, (q15_t)0x2382, (q15_t)0x8507, (q15_t)0x237c, (q15_t)0x8505,
+ (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x2370, (q15_t)0x8501, (q15_t)0x236a, (q15_t)0x8500, (q15_t)0x2364, (q15_t)0x84fe,
+ (q15_t)0x235e, (q15_t)0x84fc, (q15_t)0x2358, (q15_t)0x84fa, (q15_t)0x2352, (q15_t)0x84f9, (q15_t)0x234b, (q15_t)0x84f7,
+ (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x233f, (q15_t)0x84f4, (q15_t)0x2339, (q15_t)0x84f2, (q15_t)0x2333, (q15_t)0x84f0,
+ (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2327, (q15_t)0x84ed, (q15_t)0x2321, (q15_t)0x84eb, (q15_t)0x231b, (q15_t)0x84e9,
+ (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x230f, (q15_t)0x84e6, (q15_t)0x2309, (q15_t)0x84e4, (q15_t)0x2303, (q15_t)0x84e2,
+ (q15_t)0x22fd, (q15_t)0x84e1, (q15_t)0x22f7, (q15_t)0x84df, (q15_t)0x22f1, (q15_t)0x84dd, (q15_t)0x22eb, (q15_t)0x84db,
+ (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22df, (q15_t)0x84d8, (q15_t)0x22d9, (q15_t)0x84d6, (q15_t)0x22d3, (q15_t)0x84d5,
+ (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22c7, (q15_t)0x84d1, (q15_t)0x22c0, (q15_t)0x84cf, (q15_t)0x22ba, (q15_t)0x84ce,
+ (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x22ae, (q15_t)0x84ca, (q15_t)0x22a8, (q15_t)0x84c9, (q15_t)0x22a2, (q15_t)0x84c7,
+ (q15_t)0x229c, (q15_t)0x84c5, (q15_t)0x2296, (q15_t)0x84c4, (q15_t)0x2290, (q15_t)0x84c2, (q15_t)0x228a, (q15_t)0x84c0,
+ (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x227e, (q15_t)0x84bd, (q15_t)0x2278, (q15_t)0x84bb, (q15_t)0x2272, (q15_t)0x84b9,
+ (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2266, (q15_t)0x84b6, (q15_t)0x2260, (q15_t)0x84b4, (q15_t)0x225a, (q15_t)0x84b3,
+ (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x224e, (q15_t)0x84af, (q15_t)0x2247, (q15_t)0x84ae, (q15_t)0x2241, (q15_t)0x84ac,
+ (q15_t)0x223b, (q15_t)0x84aa, (q15_t)0x2235, (q15_t)0x84a9, (q15_t)0x222f, (q15_t)0x84a7, (q15_t)0x2229, (q15_t)0x84a5,
+ (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x221d, (q15_t)0x84a2, (q15_t)0x2217, (q15_t)0x84a0, (q15_t)0x2211, (q15_t)0x849e,
+ (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x2205, (q15_t)0x849b, (q15_t)0x21ff, (q15_t)0x8499, (q15_t)0x21f9, (q15_t)0x8498,
+ (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21ed, (q15_t)0x8494, (q15_t)0x21e7, (q15_t)0x8493, (q15_t)0x21e1, (q15_t)0x8491,
+ (q15_t)0x21da, (q15_t)0x848f, (q15_t)0x21d4, (q15_t)0x848e, (q15_t)0x21ce, (q15_t)0x848c, (q15_t)0x21c8, (q15_t)0x848a,
+ (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21bc, (q15_t)0x8487, (q15_t)0x21b6, (q15_t)0x8486, (q15_t)0x21b0, (q15_t)0x8484,
+ (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x21a4, (q15_t)0x8481, (q15_t)0x219e, (q15_t)0x847f, (q15_t)0x2198, (q15_t)0x847d,
+ (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x218c, (q15_t)0x847a, (q15_t)0x2186, (q15_t)0x8478, (q15_t)0x2180, (q15_t)0x8477,
+ (q15_t)0x2179, (q15_t)0x8475, (q15_t)0x2173, (q15_t)0x8473, (q15_t)0x216d, (q15_t)0x8472, (q15_t)0x2167, (q15_t)0x8470,
+ (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x215b, (q15_t)0x846d, (q15_t)0x2155, (q15_t)0x846b, (q15_t)0x214f, (q15_t)0x846a,
+ (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2143, (q15_t)0x8466, (q15_t)0x213d, (q15_t)0x8465, (q15_t)0x2137, (q15_t)0x8463,
+ (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x212b, (q15_t)0x8460, (q15_t)0x2125, (q15_t)0x845e, (q15_t)0x211e, (q15_t)0x845d,
+ (q15_t)0x2118, (q15_t)0x845b, (q15_t)0x2112, (q15_t)0x8459, (q15_t)0x210c, (q15_t)0x8458, (q15_t)0x2106, (q15_t)0x8456,
+ (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20fa, (q15_t)0x8453, (q15_t)0x20f4, (q15_t)0x8451, (q15_t)0x20ee, (q15_t)0x8450,
+ (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20e2, (q15_t)0x844c, (q15_t)0x20dc, (q15_t)0x844b, (q15_t)0x20d6, (q15_t)0x8449,
+ (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20c9, (q15_t)0x8446, (q15_t)0x20c3, (q15_t)0x8444, (q15_t)0x20bd, (q15_t)0x8443,
+ (q15_t)0x20b7, (q15_t)0x8441, (q15_t)0x20b1, (q15_t)0x843f, (q15_t)0x20ab, (q15_t)0x843e, (q15_t)0x20a5, (q15_t)0x843c,
+ (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2099, (q15_t)0x8439, (q15_t)0x2093, (q15_t)0x8437, (q15_t)0x208d, (q15_t)0x8436,
+ (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x2081, (q15_t)0x8433, (q15_t)0x207a, (q15_t)0x8431, (q15_t)0x2074, (q15_t)0x842f,
+ (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2068, (q15_t)0x842c, (q15_t)0x2062, (q15_t)0x842b, (q15_t)0x205c, (q15_t)0x8429,
+ (q15_t)0x2056, (q15_t)0x8427, (q15_t)0x2050, (q15_t)0x8426, (q15_t)0x204a, (q15_t)0x8424, (q15_t)0x2044, (q15_t)0x8423,
+ (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2038, (q15_t)0x8420, (q15_t)0x2032, (q15_t)0x841e, (q15_t)0x202b, (q15_t)0x841c,
+ (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x201f, (q15_t)0x8419, (q15_t)0x2019, (q15_t)0x8418, (q15_t)0x2013, (q15_t)0x8416,
+ (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x2007, (q15_t)0x8413, (q15_t)0x2001, (q15_t)0x8411, (q15_t)0x1ffb, (q15_t)0x8410,
+ (q15_t)0x1ff5, (q15_t)0x840e, (q15_t)0x1fef, (q15_t)0x840d, (q15_t)0x1fe9, (q15_t)0x840b, (q15_t)0x1fe2, (q15_t)0x840a,
+ (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fd6, (q15_t)0x8406, (q15_t)0x1fd0, (q15_t)0x8405, (q15_t)0x1fca, (q15_t)0x8403,
+ (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fbe, (q15_t)0x8400, (q15_t)0x1fb8, (q15_t)0x83ff, (q15_t)0x1fb2, (q15_t)0x83fd,
+ (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1fa6, (q15_t)0x83fa, (q15_t)0x1f9f, (q15_t)0x83f8, (q15_t)0x1f99, (q15_t)0x83f7,
+ (q15_t)0x1f93, (q15_t)0x83f5, (q15_t)0x1f8d, (q15_t)0x83f4, (q15_t)0x1f87, (q15_t)0x83f2, (q15_t)0x1f81, (q15_t)0x83f1,
+ (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f75, (q15_t)0x83ee, (q15_t)0x1f6f, (q15_t)0x83ec, (q15_t)0x1f69, (q15_t)0x83ea,
+ (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f5d, (q15_t)0x83e7, (q15_t)0x1f56, (q15_t)0x83e6, (q15_t)0x1f50, (q15_t)0x83e4,
+ (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f44, (q15_t)0x83e1, (q15_t)0x1f3e, (q15_t)0x83e0, (q15_t)0x1f38, (q15_t)0x83de,
+ (q15_t)0x1f32, (q15_t)0x83dd, (q15_t)0x1f2c, (q15_t)0x83db, (q15_t)0x1f26, (q15_t)0x83da, (q15_t)0x1f20, (q15_t)0x83d8,
+ (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f13, (q15_t)0x83d5, (q15_t)0x1f0d, (q15_t)0x83d3, (q15_t)0x1f07, (q15_t)0x83d2,
+ (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1efb, (q15_t)0x83cf, (q15_t)0x1ef5, (q15_t)0x83cd, (q15_t)0x1eef, (q15_t)0x83cc,
+ (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ee3, (q15_t)0x83c9, (q15_t)0x1edd, (q15_t)0x83c7, (q15_t)0x1ed6, (q15_t)0x83c6,
+ (q15_t)0x1ed0, (q15_t)0x83c4, (q15_t)0x1eca, (q15_t)0x83c3, (q15_t)0x1ec4, (q15_t)0x83c1, (q15_t)0x1ebe, (q15_t)0x83c0,
+ (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1eb2, (q15_t)0x83bd, (q15_t)0x1eac, (q15_t)0x83bb, (q15_t)0x1ea6, (q15_t)0x83ba,
+ (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e99, (q15_t)0x83b7, (q15_t)0x1e93, (q15_t)0x83b5, (q15_t)0x1e8d, (q15_t)0x83b4,
+ (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e81, (q15_t)0x83b1, (q15_t)0x1e7b, (q15_t)0x83af, (q15_t)0x1e75, (q15_t)0x83ae,
+ (q15_t)0x1e6f, (q15_t)0x83ac, (q15_t)0x1e69, (q15_t)0x83ab, (q15_t)0x1e62, (q15_t)0x83a9, (q15_t)0x1e5c, (q15_t)0x83a8,
+ (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e50, (q15_t)0x83a5, (q15_t)0x1e4a, (q15_t)0x83a3, (q15_t)0x1e44, (q15_t)0x83a2,
+ (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e38, (q15_t)0x839f, (q15_t)0x1e32, (q15_t)0x839d, (q15_t)0x1e2c, (q15_t)0x839c,
+ (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e1f, (q15_t)0x8399, (q15_t)0x1e19, (q15_t)0x8397, (q15_t)0x1e13, (q15_t)0x8396,
+ (q15_t)0x1e0d, (q15_t)0x8394, (q15_t)0x1e07, (q15_t)0x8393, (q15_t)0x1e01, (q15_t)0x8392, (q15_t)0x1dfb, (q15_t)0x8390,
+ (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1dee, (q15_t)0x838d, (q15_t)0x1de8, (q15_t)0x838c, (q15_t)0x1de2, (q15_t)0x838a,
+ (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dd6, (q15_t)0x8387, (q15_t)0x1dd0, (q15_t)0x8386, (q15_t)0x1dca, (q15_t)0x8384,
+ (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dbe, (q15_t)0x8381, (q15_t)0x1db7, (q15_t)0x8380, (q15_t)0x1db1, (q15_t)0x837e,
+ (q15_t)0x1dab, (q15_t)0x837d, (q15_t)0x1da5, (q15_t)0x837c, (q15_t)0x1d9f, (q15_t)0x837a, (q15_t)0x1d99, (q15_t)0x8379,
+ (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d8d, (q15_t)0x8376, (q15_t)0x1d87, (q15_t)0x8374, (q15_t)0x1d80, (q15_t)0x8373,
+ (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d74, (q15_t)0x8370, (q15_t)0x1d6e, (q15_t)0x836f, (q15_t)0x1d68, (q15_t)0x836d,
+ (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d5c, (q15_t)0x836a, (q15_t)0x1d56, (q15_t)0x8369, (q15_t)0x1d50, (q15_t)0x8367,
+ (q15_t)0x1d49, (q15_t)0x8366, (q15_t)0x1d43, (q15_t)0x8364, (q15_t)0x1d3d, (q15_t)0x8363, (q15_t)0x1d37, (q15_t)0x8362,
+ (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d2b, (q15_t)0x835f, (q15_t)0x1d25, (q15_t)0x835d, (q15_t)0x1d1f, (q15_t)0x835c,
+ (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d12, (q15_t)0x8359, (q15_t)0x1d0c, (q15_t)0x8358, (q15_t)0x1d06, (q15_t)0x8356,
+ (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1cfa, (q15_t)0x8353, (q15_t)0x1cf4, (q15_t)0x8352, (q15_t)0x1cee, (q15_t)0x8350,
+ (q15_t)0x1ce8, (q15_t)0x834f, (q15_t)0x1ce1, (q15_t)0x834e, (q15_t)0x1cdb, (q15_t)0x834c, (q15_t)0x1cd5, (q15_t)0x834b,
+ (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cc9, (q15_t)0x8348, (q15_t)0x1cc3, (q15_t)0x8347, (q15_t)0x1cbd, (q15_t)0x8345,
+ (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1cb0, (q15_t)0x8342, (q15_t)0x1caa, (q15_t)0x8341, (q15_t)0x1ca4, (q15_t)0x833f,
+ (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c98, (q15_t)0x833d, (q15_t)0x1c92, (q15_t)0x833b, (q15_t)0x1c8c, (q15_t)0x833a,
+ (q15_t)0x1c86, (q15_t)0x8338, (q15_t)0x1c7f, (q15_t)0x8337, (q15_t)0x1c79, (q15_t)0x8336, (q15_t)0x1c73, (q15_t)0x8334,
+ (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c67, (q15_t)0x8331, (q15_t)0x1c61, (q15_t)0x8330, (q15_t)0x1c5b, (q15_t)0x832f,
+ (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c4e, (q15_t)0x832c, (q15_t)0x1c48, (q15_t)0x832b, (q15_t)0x1c42, (q15_t)0x8329,
+ (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c36, (q15_t)0x8326, (q15_t)0x1c30, (q15_t)0x8325, (q15_t)0x1c2a, (q15_t)0x8324,
+ (q15_t)0x1c24, (q15_t)0x8322, (q15_t)0x1c1d, (q15_t)0x8321, (q15_t)0x1c17, (q15_t)0x831f, (q15_t)0x1c11, (q15_t)0x831e,
+ (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1c05, (q15_t)0x831b, (q15_t)0x1bff, (q15_t)0x831a, (q15_t)0x1bf9, (q15_t)0x8319,
+ (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bec, (q15_t)0x8316, (q15_t)0x1be6, (q15_t)0x8314, (q15_t)0x1be0, (q15_t)0x8313,
+ (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bd4, (q15_t)0x8310, (q15_t)0x1bce, (q15_t)0x830f, (q15_t)0x1bc8, (q15_t)0x830e,
+ (q15_t)0x1bc1, (q15_t)0x830c, (q15_t)0x1bbb, (q15_t)0x830b, (q15_t)0x1bb5, (q15_t)0x830a, (q15_t)0x1baf, (q15_t)0x8308,
+ (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1ba3, (q15_t)0x8305, (q15_t)0x1b9d, (q15_t)0x8304, (q15_t)0x1b96, (q15_t)0x8303,
+ (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b8a, (q15_t)0x8300, (q15_t)0x1b84, (q15_t)0x82ff, (q15_t)0x1b7e, (q15_t)0x82fd,
+ (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b72, (q15_t)0x82fb, (q15_t)0x1b6c, (q15_t)0x82f9, (q15_t)0x1b65, (q15_t)0x82f8,
+ (q15_t)0x1b5f, (q15_t)0x82f7, (q15_t)0x1b59, (q15_t)0x82f5, (q15_t)0x1b53, (q15_t)0x82f4, (q15_t)0x1b4d, (q15_t)0x82f3,
+ (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b41, (q15_t)0x82f0, (q15_t)0x1b3a, (q15_t)0x82ef, (q15_t)0x1b34, (q15_t)0x82ed,
+ (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b28, (q15_t)0x82eb, (q15_t)0x1b22, (q15_t)0x82e9, (q15_t)0x1b1c, (q15_t)0x82e8,
+ (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1b0f, (q15_t)0x82e5, (q15_t)0x1b09, (q15_t)0x82e4, (q15_t)0x1b03, (q15_t)0x82e3,
+ (q15_t)0x1afd, (q15_t)0x82e1, (q15_t)0x1af7, (q15_t)0x82e0, (q15_t)0x1af1, (q15_t)0x82df, (q15_t)0x1aeb, (q15_t)0x82dd,
+ (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1ade, (q15_t)0x82db, (q15_t)0x1ad8, (q15_t)0x82d9, (q15_t)0x1ad2, (q15_t)0x82d8,
+ (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ac6, (q15_t)0x82d5, (q15_t)0x1ac0, (q15_t)0x82d4, (q15_t)0x1ab9, (q15_t)0x82d3,
+ (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1aad, (q15_t)0x82d0, (q15_t)0x1aa7, (q15_t)0x82cf, (q15_t)0x1aa1, (q15_t)0x82ce,
+ (q15_t)0x1a9b, (q15_t)0x82cc, (q15_t)0x1a95, (q15_t)0x82cb, (q15_t)0x1a8e, (q15_t)0x82ca, (q15_t)0x1a88, (q15_t)0x82c8,
+ (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a7c, (q15_t)0x82c6, (q15_t)0x1a76, (q15_t)0x82c4, (q15_t)0x1a70, (q15_t)0x82c3,
+ (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a63, (q15_t)0x82c1, (q15_t)0x1a5d, (q15_t)0x82bf, (q15_t)0x1a57, (q15_t)0x82be,
+ (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a4b, (q15_t)0x82bb, (q15_t)0x1a45, (q15_t)0x82ba, (q15_t)0x1a3e, (q15_t)0x82b9,
+ (q15_t)0x1a38, (q15_t)0x82b7, (q15_t)0x1a32, (q15_t)0x82b6, (q15_t)0x1a2c, (q15_t)0x82b5, (q15_t)0x1a26, (q15_t)0x82b4,
+ (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a1a, (q15_t)0x82b1, (q15_t)0x1a13, (q15_t)0x82b0, (q15_t)0x1a0d, (q15_t)0x82ae,
+ (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x1a01, (q15_t)0x82ac, (q15_t)0x19fb, (q15_t)0x82ab, (q15_t)0x19f5, (q15_t)0x82a9,
+ (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19e8, (q15_t)0x82a7, (q15_t)0x19e2, (q15_t)0x82a6, (q15_t)0x19dc, (q15_t)0x82a4,
+ (q15_t)0x19d6, (q15_t)0x82a3, (q15_t)0x19d0, (q15_t)0x82a2, (q15_t)0x19ca, (q15_t)0x82a0, (q15_t)0x19c3, (q15_t)0x829f,
+ (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19b7, (q15_t)0x829d, (q15_t)0x19b1, (q15_t)0x829b, (q15_t)0x19ab, (q15_t)0x829a,
+ (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x199f, (q15_t)0x8298, (q15_t)0x1998, (q15_t)0x8296, (q15_t)0x1992, (q15_t)0x8295,
+ (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1986, (q15_t)0x8293, (q15_t)0x1980, (q15_t)0x8291, (q15_t)0x197a, (q15_t)0x8290,
+ (q15_t)0x1973, (q15_t)0x828f, (q15_t)0x196d, (q15_t)0x828e, (q15_t)0x1967, (q15_t)0x828c, (q15_t)0x1961, (q15_t)0x828b,
+ (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1955, (q15_t)0x8289, (q15_t)0x194e, (q15_t)0x8287, (q15_t)0x1948, (q15_t)0x8286,
+ (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x193c, (q15_t)0x8284, (q15_t)0x1936, (q15_t)0x8282, (q15_t)0x1930, (q15_t)0x8281,
+ (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1923, (q15_t)0x827f, (q15_t)0x191d, (q15_t)0x827e, (q15_t)0x1917, (q15_t)0x827c,
+ (q15_t)0x1911, (q15_t)0x827b, (q15_t)0x190b, (q15_t)0x827a, (q15_t)0x1905, (q15_t)0x8279, (q15_t)0x18fe, (q15_t)0x8277,
+ (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18f2, (q15_t)0x8275, (q15_t)0x18ec, (q15_t)0x8274, (q15_t)0x18e6, (q15_t)0x8272,
+ (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18d9, (q15_t)0x8270, (q15_t)0x18d3, (q15_t)0x826f, (q15_t)0x18cd, (q15_t)0x826e,
+ (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18c1, (q15_t)0x826b, (q15_t)0x18bb, (q15_t)0x826a, (q15_t)0x18b4, (q15_t)0x8269,
+ (q15_t)0x18ae, (q15_t)0x8268, (q15_t)0x18a8, (q15_t)0x8266, (q15_t)0x18a2, (q15_t)0x8265, (q15_t)0x189c, (q15_t)0x8264,
+ (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x188f, (q15_t)0x8261, (q15_t)0x1889, (q15_t)0x8260, (q15_t)0x1883, (q15_t)0x825f,
+ (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1877, (q15_t)0x825d, (q15_t)0x1871, (q15_t)0x825b, (q15_t)0x186a, (q15_t)0x825a,
+ (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x185e, (q15_t)0x8258, (q15_t)0x1858, (q15_t)0x8257, (q15_t)0x1852, (q15_t)0x8255,
+ (q15_t)0x184c, (q15_t)0x8254, (q15_t)0x1845, (q15_t)0x8253, (q15_t)0x183f, (q15_t)0x8252, (q15_t)0x1839, (q15_t)0x8251,
+ (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x182d, (q15_t)0x824e, (q15_t)0x1827, (q15_t)0x824d, (q15_t)0x1820, (q15_t)0x824c,
+ (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1814, (q15_t)0x824a, (q15_t)0x180e, (q15_t)0x8248, (q15_t)0x1808, (q15_t)0x8247,
+ (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17fb, (q15_t)0x8245, (q15_t)0x17f5, (q15_t)0x8244, (q15_t)0x17ef, (q15_t)0x8243,
+ (q15_t)0x17e9, (q15_t)0x8241, (q15_t)0x17e3, (q15_t)0x8240, (q15_t)0x17dd, (q15_t)0x823f, (q15_t)0x17d6, (q15_t)0x823e,
+ (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17ca, (q15_t)0x823b, (q15_t)0x17c4, (q15_t)0x823a, (q15_t)0x17be, (q15_t)0x8239,
+ (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x17b1, (q15_t)0x8237, (q15_t)0x17ab, (q15_t)0x8236, (q15_t)0x17a5, (q15_t)0x8234,
+ (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1799, (q15_t)0x8232, (q15_t)0x1792, (q15_t)0x8231, (q15_t)0x178c, (q15_t)0x8230,
+ (q15_t)0x1786, (q15_t)0x822f, (q15_t)0x1780, (q15_t)0x822e, (q15_t)0x177a, (q15_t)0x822c, (q15_t)0x1774, (q15_t)0x822b,
+ (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1767, (q15_t)0x8229, (q15_t)0x1761, (q15_t)0x8228, (q15_t)0x175b, (q15_t)0x8227,
+ (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x174e, (q15_t)0x8224, (q15_t)0x1748, (q15_t)0x8223, (q15_t)0x1742, (q15_t)0x8222,
+ (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1736, (q15_t)0x8220, (q15_t)0x1730, (q15_t)0x821f, (q15_t)0x1729, (q15_t)0x821e,
+ (q15_t)0x1723, (q15_t)0x821c, (q15_t)0x171d, (q15_t)0x821b, (q15_t)0x1717, (q15_t)0x821a, (q15_t)0x1711, (q15_t)0x8219,
+ (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x1704, (q15_t)0x8217, (q15_t)0x16fe, (q15_t)0x8216, (q15_t)0x16f8, (q15_t)0x8214,
+ (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16ec, (q15_t)0x8212, (q15_t)0x16e5, (q15_t)0x8211, (q15_t)0x16df, (q15_t)0x8210,
+ (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16d3, (q15_t)0x820e, (q15_t)0x16cd, (q15_t)0x820d, (q15_t)0x16c6, (q15_t)0x820b,
+ (q15_t)0x16c0, (q15_t)0x820a, (q15_t)0x16ba, (q15_t)0x8209, (q15_t)0x16b4, (q15_t)0x8208, (q15_t)0x16ae, (q15_t)0x8207,
+ (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x16a1, (q15_t)0x8205, (q15_t)0x169b, (q15_t)0x8204, (q15_t)0x1695, (q15_t)0x8203,
+ (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1689, (q15_t)0x8200, (q15_t)0x1682, (q15_t)0x81ff, (q15_t)0x167c, (q15_t)0x81fe,
+ (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x1670, (q15_t)0x81fc, (q15_t)0x166a, (q15_t)0x81fb, (q15_t)0x1664, (q15_t)0x81fa,
+ (q15_t)0x165d, (q15_t)0x81f9, (q15_t)0x1657, (q15_t)0x81f8, (q15_t)0x1651, (q15_t)0x81f6, (q15_t)0x164b, (q15_t)0x81f5,
+ (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x163e, (q15_t)0x81f3, (q15_t)0x1638, (q15_t)0x81f2, (q15_t)0x1632, (q15_t)0x81f1,
+ (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1626, (q15_t)0x81ef, (q15_t)0x161f, (q15_t)0x81ee, (q15_t)0x1619, (q15_t)0x81ed,
+ (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x160d, (q15_t)0x81ea, (q15_t)0x1607, (q15_t)0x81e9, (q15_t)0x1601, (q15_t)0x81e8,
+ (q15_t)0x15fa, (q15_t)0x81e7, (q15_t)0x15f4, (q15_t)0x81e6, (q15_t)0x15ee, (q15_t)0x81e5, (q15_t)0x15e8, (q15_t)0x81e4,
+ (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15db, (q15_t)0x81e2, (q15_t)0x15d5, (q15_t)0x81e1, (q15_t)0x15cf, (q15_t)0x81e0,
+ (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15c3, (q15_t)0x81de, (q15_t)0x15bc, (q15_t)0x81dc, (q15_t)0x15b6, (q15_t)0x81db,
+ (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x15aa, (q15_t)0x81d9, (q15_t)0x15a4, (q15_t)0x81d8, (q15_t)0x159d, (q15_t)0x81d7,
+ (q15_t)0x1597, (q15_t)0x81d6, (q15_t)0x1591, (q15_t)0x81d5, (q15_t)0x158b, (q15_t)0x81d4, (q15_t)0x1585, (q15_t)0x81d3,
+ (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1578, (q15_t)0x81d1, (q15_t)0x1572, (q15_t)0x81d0, (q15_t)0x156c, (q15_t)0x81cf,
+ (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x1560, (q15_t)0x81cd, (q15_t)0x1559, (q15_t)0x81cc, (q15_t)0x1553, (q15_t)0x81cb,
+ (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1547, (q15_t)0x81c8, (q15_t)0x1541, (q15_t)0x81c7, (q15_t)0x153a, (q15_t)0x81c6,
+ (q15_t)0x1534, (q15_t)0x81c5, (q15_t)0x152e, (q15_t)0x81c4, (q15_t)0x1528, (q15_t)0x81c3, (q15_t)0x1522, (q15_t)0x81c2,
+ (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1515, (q15_t)0x81c0, (q15_t)0x150f, (q15_t)0x81bf, (q15_t)0x1509, (q15_t)0x81be,
+ (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14fc, (q15_t)0x81bc, (q15_t)0x14f6, (q15_t)0x81bb, (q15_t)0x14f0, (q15_t)0x81ba,
+ (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14e4, (q15_t)0x81b8, (q15_t)0x14dd, (q15_t)0x81b7, (q15_t)0x14d7, (q15_t)0x81b6,
+ (q15_t)0x14d1, (q15_t)0x81b5, (q15_t)0x14cb, (q15_t)0x81b4, (q15_t)0x14c5, (q15_t)0x81b3, (q15_t)0x14be, (q15_t)0x81b2,
+ (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x14b2, (q15_t)0x81b0, (q15_t)0x14ac, (q15_t)0x81af, (q15_t)0x14a6, (q15_t)0x81ae,
+ (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1499, (q15_t)0x81ac, (q15_t)0x1493, (q15_t)0x81ab, (q15_t)0x148d, (q15_t)0x81aa,
+ (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x1480, (q15_t)0x81a8, (q15_t)0x147a, (q15_t)0x81a7, (q15_t)0x1474, (q15_t)0x81a6,
+ (q15_t)0x146e, (q15_t)0x81a5, (q15_t)0x1468, (q15_t)0x81a4, (q15_t)0x1461, (q15_t)0x81a3, (q15_t)0x145b, (q15_t)0x81a2,
+ (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x144f, (q15_t)0x81a0, (q15_t)0x1449, (q15_t)0x819f, (q15_t)0x1442, (q15_t)0x819e,
+ (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1436, (q15_t)0x819c, (q15_t)0x1430, (q15_t)0x819b, (q15_t)0x142a, (q15_t)0x819a,
+ (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x141d, (q15_t)0x8198, (q15_t)0x1417, (q15_t)0x8197, (q15_t)0x1411, (q15_t)0x8196,
+ (q15_t)0x140b, (q15_t)0x8195, (q15_t)0x1404, (q15_t)0x8194, (q15_t)0x13fe, (q15_t)0x8193, (q15_t)0x13f8, (q15_t)0x8192,
+ (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13eb, (q15_t)0x8190, (q15_t)0x13e5, (q15_t)0x818f, (q15_t)0x13df, (q15_t)0x818e,
+ (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13d3, (q15_t)0x818c, (q15_t)0x13cc, (q15_t)0x818b, (q15_t)0x13c6, (q15_t)0x818a,
+ (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13ba, (q15_t)0x8188, (q15_t)0x13b4, (q15_t)0x8187, (q15_t)0x13ad, (q15_t)0x8186,
+ (q15_t)0x13a7, (q15_t)0x8185, (q15_t)0x13a1, (q15_t)0x8184, (q15_t)0x139b, (q15_t)0x8183, (q15_t)0x1395, (q15_t)0x8182,
+ (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1388, (q15_t)0x8180, (q15_t)0x1382, (q15_t)0x817f, (q15_t)0x137c, (q15_t)0x817e,
+ (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x136f, (q15_t)0x817c, (q15_t)0x1369, (q15_t)0x817c, (q15_t)0x1363, (q15_t)0x817b,
+ (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1356, (q15_t)0x8179, (q15_t)0x1350, (q15_t)0x8178, (q15_t)0x134a, (q15_t)0x8177,
+ (q15_t)0x1344, (q15_t)0x8176, (q15_t)0x133e, (q15_t)0x8175, (q15_t)0x1337, (q15_t)0x8174, (q15_t)0x1331, (q15_t)0x8173,
+ (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1325, (q15_t)0x8171, (q15_t)0x131f, (q15_t)0x8170, (q15_t)0x1318, (q15_t)0x816f,
+ (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x130c, (q15_t)0x816d, (q15_t)0x1306, (q15_t)0x816c, (q15_t)0x12ff, (q15_t)0x816c,
+ (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12f3, (q15_t)0x816a, (q15_t)0x12ed, (q15_t)0x8169, (q15_t)0x12e7, (q15_t)0x8168,
+ (q15_t)0x12e0, (q15_t)0x8167, (q15_t)0x12da, (q15_t)0x8166, (q15_t)0x12d4, (q15_t)0x8165, (q15_t)0x12ce, (q15_t)0x8164,
+ (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12c1, (q15_t)0x8162, (q15_t)0x12bb, (q15_t)0x8161, (q15_t)0x12b5, (q15_t)0x8160,
+ (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x12a8, (q15_t)0x815f, (q15_t)0x12a2, (q15_t)0x815e, (q15_t)0x129c, (q15_t)0x815d,
+ (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x1290, (q15_t)0x815b, (q15_t)0x1289, (q15_t)0x815a, (q15_t)0x1283, (q15_t)0x8159,
+ (q15_t)0x127d, (q15_t)0x8158, (q15_t)0x1277, (q15_t)0x8157, (q15_t)0x1271, (q15_t)0x8156, (q15_t)0x126a, (q15_t)0x8155,
+ (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x125e, (q15_t)0x8154, (q15_t)0x1258, (q15_t)0x8153, (q15_t)0x1251, (q15_t)0x8152,
+ (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1245, (q15_t)0x8150, (q15_t)0x123f, (q15_t)0x814f, (q15_t)0x1239, (q15_t)0x814e,
+ (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x122c, (q15_t)0x814c, (q15_t)0x1226, (q15_t)0x814c, (q15_t)0x1220, (q15_t)0x814b,
+ (q15_t)0x1219, (q15_t)0x814a, (q15_t)0x1213, (q15_t)0x8149, (q15_t)0x120d, (q15_t)0x8148, (q15_t)0x1207, (q15_t)0x8147,
+ (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11fa, (q15_t)0x8145, (q15_t)0x11f4, (q15_t)0x8145, (q15_t)0x11ee, (q15_t)0x8144,
+ (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11e1, (q15_t)0x8142, (q15_t)0x11db, (q15_t)0x8141, (q15_t)0x11d5, (q15_t)0x8140,
+ (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11c9, (q15_t)0x813e, (q15_t)0x11c2, (q15_t)0x813d, (q15_t)0x11bc, (q15_t)0x813d,
+ (q15_t)0x11b6, (q15_t)0x813c, (q15_t)0x11b0, (q15_t)0x813b, (q15_t)0x11a9, (q15_t)0x813a, (q15_t)0x11a3, (q15_t)0x8139,
+ (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1197, (q15_t)0x8137, (q15_t)0x1191, (q15_t)0x8137, (q15_t)0x118a, (q15_t)0x8136,
+ (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x117e, (q15_t)0x8134, (q15_t)0x1178, (q15_t)0x8133, (q15_t)0x1171, (q15_t)0x8132,
+ (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1165, (q15_t)0x8131, (q15_t)0x115f, (q15_t)0x8130, (q15_t)0x1159, (q15_t)0x812f,
+ (q15_t)0x1152, (q15_t)0x812e, (q15_t)0x114c, (q15_t)0x812d, (q15_t)0x1146, (q15_t)0x812c, (q15_t)0x1140, (q15_t)0x812b,
+ (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1133, (q15_t)0x812a, (q15_t)0x112d, (q15_t)0x8129, (q15_t)0x1127, (q15_t)0x8128,
+ (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x111a, (q15_t)0x8126, (q15_t)0x1114, (q15_t)0x8126, (q15_t)0x110e, (q15_t)0x8125,
+ (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x1101, (q15_t)0x8123, (q15_t)0x10fb, (q15_t)0x8122, (q15_t)0x10f5, (q15_t)0x8121,
+ (q15_t)0x10ef, (q15_t)0x8121, (q15_t)0x10e8, (q15_t)0x8120, (q15_t)0x10e2, (q15_t)0x811f, (q15_t)0x10dc, (q15_t)0x811e,
+ (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10d0, (q15_t)0x811c, (q15_t)0x10c9, (q15_t)0x811c, (q15_t)0x10c3, (q15_t)0x811b,
+ (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10b7, (q15_t)0x8119, (q15_t)0x10b0, (q15_t)0x8118, (q15_t)0x10aa, (q15_t)0x8117,
+ (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x109e, (q15_t)0x8116, (q15_t)0x1098, (q15_t)0x8115, (q15_t)0x1091, (q15_t)0x8114,
+ (q15_t)0x108b, (q15_t)0x8113, (q15_t)0x1085, (q15_t)0x8113, (q15_t)0x107f, (q15_t)0x8112, (q15_t)0x1078, (q15_t)0x8111,
+ (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x106c, (q15_t)0x810f, (q15_t)0x1066, (q15_t)0x810f, (q15_t)0x105f, (q15_t)0x810e,
+ (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1053, (q15_t)0x810c, (q15_t)0x104d, (q15_t)0x810b, (q15_t)0x1047, (q15_t)0x810b,
+ (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x103a, (q15_t)0x8109, (q15_t)0x1034, (q15_t)0x8108, (q15_t)0x102e, (q15_t)0x8107,
+ (q15_t)0x1027, (q15_t)0x8107, (q15_t)0x1021, (q15_t)0x8106, (q15_t)0x101b, (q15_t)0x8105, (q15_t)0x1015, (q15_t)0x8104,
+ (q15_t)0x100e, (q15_t)0x8103, (q15_t)0x1008, (q15_t)0x8103, (q15_t)0x1002, (q15_t)0x8102, (q15_t)0xffc, (q15_t)0x8101,
+ (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfef, (q15_t)0x80ff, (q15_t)0xfe9, (q15_t)0x80ff, (q15_t)0xfe3, (q15_t)0x80fe,
+ (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfd6, (q15_t)0x80fc, (q15_t)0xfd0, (q15_t)0x80fc, (q15_t)0xfca, (q15_t)0x80fb,
+ (q15_t)0xfc4, (q15_t)0x80fa, (q15_t)0xfbd, (q15_t)0x80f9, (q15_t)0xfb7, (q15_t)0x80f8, (q15_t)0xfb1, (q15_t)0x80f8,
+ (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xfa4, (q15_t)0x80f6, (q15_t)0xf9e, (q15_t)0x80f5, (q15_t)0xf98, (q15_t)0x80f5,
+ (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf8b, (q15_t)0x80f3, (q15_t)0xf85, (q15_t)0x80f2, (q15_t)0xf7f, (q15_t)0x80f2,
+ (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf73, (q15_t)0x80f0, (q15_t)0xf6c, (q15_t)0x80ef, (q15_t)0xf66, (q15_t)0x80ef,
+ (q15_t)0xf60, (q15_t)0x80ee, (q15_t)0xf5a, (q15_t)0x80ed, (q15_t)0xf53, (q15_t)0x80ec, (q15_t)0xf4d, (q15_t)0x80ec,
+ (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf41, (q15_t)0x80ea, (q15_t)0xf3a, (q15_t)0x80e9, (q15_t)0xf34, (q15_t)0x80e9,
+ (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf28, (q15_t)0x80e7, (q15_t)0xf21, (q15_t)0x80e6, (q15_t)0xf1b, (q15_t)0x80e6,
+ (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xf0f, (q15_t)0x80e4, (q15_t)0xf08, (q15_t)0x80e3, (q15_t)0xf02, (q15_t)0x80e3,
+ (q15_t)0xefc, (q15_t)0x80e2, (q15_t)0xef6, (q15_t)0x80e1, (q15_t)0xef0, (q15_t)0x80e0, (q15_t)0xee9, (q15_t)0x80e0,
+ (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xedd, (q15_t)0x80de, (q15_t)0xed7, (q15_t)0x80dd, (q15_t)0xed0, (q15_t)0x80dd,
+ (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xec4, (q15_t)0x80db, (q15_t)0xebe, (q15_t)0x80db, (q15_t)0xeb7, (q15_t)0x80da,
+ (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xeab, (q15_t)0x80d8, (q15_t)0xea5, (q15_t)0x80d8, (q15_t)0xe9e, (q15_t)0x80d7,
+ (q15_t)0xe98, (q15_t)0x80d6, (q15_t)0xe92, (q15_t)0x80d6, (q15_t)0xe8c, (q15_t)0x80d5, (q15_t)0xe85, (q15_t)0x80d4,
+ (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe79, (q15_t)0x80d3, (q15_t)0xe73, (q15_t)0x80d2, (q15_t)0xe6c, (q15_t)0x80d1,
+ (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe60, (q15_t)0x80d0, (q15_t)0xe5a, (q15_t)0x80cf, (q15_t)0xe53, (q15_t)0x80ce,
+ (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe47, (q15_t)0x80cd, (q15_t)0xe41, (q15_t)0x80cc, (q15_t)0xe3a, (q15_t)0x80cc,
+ (q15_t)0xe34, (q15_t)0x80cb, (q15_t)0xe2e, (q15_t)0x80ca, (q15_t)0xe28, (q15_t)0x80ca, (q15_t)0xe22, (q15_t)0x80c9,
+ (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe15, (q15_t)0x80c7, (q15_t)0xe0f, (q15_t)0x80c7, (q15_t)0xe09, (q15_t)0x80c6,
+ (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xdfc, (q15_t)0x80c5, (q15_t)0xdf6, (q15_t)0x80c4, (q15_t)0xdf0, (q15_t)0x80c3,
+ (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xde3, (q15_t)0x80c2, (q15_t)0xddd, (q15_t)0x80c1, (q15_t)0xdd7, (q15_t)0x80c1,
+ (q15_t)0xdd0, (q15_t)0x80c0, (q15_t)0xdca, (q15_t)0x80bf, (q15_t)0xdc4, (q15_t)0x80bf, (q15_t)0xdbe, (q15_t)0x80be,
+ (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xdb1, (q15_t)0x80bd, (q15_t)0xdab, (q15_t)0x80bc, (q15_t)0xda5, (q15_t)0x80bb,
+ (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd98, (q15_t)0x80ba, (q15_t)0xd92, (q15_t)0x80b9, (q15_t)0xd8c, (q15_t)0x80b9,
+ (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd7f, (q15_t)0x80b7, (q15_t)0xd79, (q15_t)0x80b7, (q15_t)0xd73, (q15_t)0x80b6,
+ (q15_t)0xd6c, (q15_t)0x80b5, (q15_t)0xd66, (q15_t)0x80b5, (q15_t)0xd60, (q15_t)0x80b4, (q15_t)0xd5a, (q15_t)0x80b3,
+ (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd4d, (q15_t)0x80b2, (q15_t)0xd47, (q15_t)0x80b1, (q15_t)0xd41, (q15_t)0x80b1,
+ (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd34, (q15_t)0x80af, (q15_t)0xd2e, (q15_t)0x80af, (q15_t)0xd28, (q15_t)0x80ae,
+ (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd1b, (q15_t)0x80ad, (q15_t)0xd15, (q15_t)0x80ac, (q15_t)0xd0f, (q15_t)0x80ab,
+ (q15_t)0xd08, (q15_t)0x80ab, (q15_t)0xd02, (q15_t)0x80aa, (q15_t)0xcfc, (q15_t)0x80aa, (q15_t)0xcf6, (q15_t)0x80a9,
+ (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xce9, (q15_t)0x80a8, (q15_t)0xce3, (q15_t)0x80a7, (q15_t)0xcdd, (q15_t)0x80a6,
+ (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcd0, (q15_t)0x80a5, (q15_t)0xcca, (q15_t)0x80a5, (q15_t)0xcc4, (q15_t)0x80a4,
+ (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xcb7, (q15_t)0x80a3, (q15_t)0xcb1, (q15_t)0x80a2, (q15_t)0xcab, (q15_t)0x80a1,
+ (q15_t)0xca4, (q15_t)0x80a1, (q15_t)0xc9e, (q15_t)0x80a0, (q15_t)0xc98, (q15_t)0x80a0, (q15_t)0xc92, (q15_t)0x809f,
+ (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc85, (q15_t)0x809e, (q15_t)0xc7f, (q15_t)0x809d, (q15_t)0xc79, (q15_t)0x809c,
+ (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc6c, (q15_t)0x809b, (q15_t)0xc66, (q15_t)0x809b, (q15_t)0xc60, (q15_t)0x809a,
+ (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc53, (q15_t)0x8099, (q15_t)0xc4d, (q15_t)0x8098, (q15_t)0xc47, (q15_t)0x8098,
+ (q15_t)0xc40, (q15_t)0x8097, (q15_t)0xc3a, (q15_t)0x8096, (q15_t)0xc34, (q15_t)0x8096, (q15_t)0xc2e, (q15_t)0x8095,
+ (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc21, (q15_t)0x8094, (q15_t)0xc1b, (q15_t)0x8093, (q15_t)0xc14, (q15_t)0x8093,
+ (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xc08, (q15_t)0x8092, (q15_t)0xc02, (q15_t)0x8091, (q15_t)0xbfb, (q15_t)0x8090,
+ (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbef, (q15_t)0x808f, (q15_t)0xbe9, (q15_t)0x808f, (q15_t)0xbe2, (q15_t)0x808e,
+ (q15_t)0xbdc, (q15_t)0x808e, (q15_t)0xbd6, (q15_t)0x808d, (q15_t)0xbd0, (q15_t)0x808c, (q15_t)0xbc9, (q15_t)0x808c,
+ (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbbd, (q15_t)0x808b, (q15_t)0xbb7, (q15_t)0x808a, (q15_t)0xbb0, (q15_t)0x8089,
+ (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xba4, (q15_t)0x8088, (q15_t)0xb9e, (q15_t)0x8088, (q15_t)0xb97, (q15_t)0x8087,
+ (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb8b, (q15_t)0x8086, (q15_t)0xb85, (q15_t)0x8085, (q15_t)0xb7e, (q15_t)0x8085,
+ (q15_t)0xb78, (q15_t)0x8084, (q15_t)0xb72, (q15_t)0x8084, (q15_t)0xb6c, (q15_t)0x8083, (q15_t)0xb65, (q15_t)0x8083,
+ (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb59, (q15_t)0x8082, (q15_t)0xb53, (q15_t)0x8081, (q15_t)0xb4c, (q15_t)0x8080,
+ (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb40, (q15_t)0x807f, (q15_t)0xb3a, (q15_t)0x807f, (q15_t)0xb33, (q15_t)0x807e,
+ (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb27, (q15_t)0x807d, (q15_t)0xb20, (q15_t)0x807d, (q15_t)0xb1a, (q15_t)0x807c,
+ (q15_t)0xb14, (q15_t)0x807b, (q15_t)0xb0e, (q15_t)0x807b, (q15_t)0xb07, (q15_t)0x807a, (q15_t)0xb01, (q15_t)0x807a,
+ (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xaf5, (q15_t)0x8079, (q15_t)0xaee, (q15_t)0x8078, (q15_t)0xae8, (q15_t)0x8078,
+ (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xadc, (q15_t)0x8077, (q15_t)0xad5, (q15_t)0x8076, (q15_t)0xacf, (q15_t)0x8076,
+ (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xac3, (q15_t)0x8075, (q15_t)0xabc, (q15_t)0x8074, (q15_t)0xab6, (q15_t)0x8073,
+ (q15_t)0xab0, (q15_t)0x8073, (q15_t)0xaaa, (q15_t)0x8072, (q15_t)0xaa3, (q15_t)0x8072, (q15_t)0xa9d, (q15_t)0x8071,
+ (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa90, (q15_t)0x8070, (q15_t)0xa8a, (q15_t)0x8070, (q15_t)0xa84, (q15_t)0x806f,
+ (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa77, (q15_t)0x806e, (q15_t)0xa71, (q15_t)0x806e, (q15_t)0xa6b, (q15_t)0x806d,
+ (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa5e, (q15_t)0x806c, (q15_t)0xa58, (q15_t)0x806c, (q15_t)0xa52, (q15_t)0x806b,
+ (q15_t)0xa4c, (q15_t)0x806b, (q15_t)0xa45, (q15_t)0x806a, (q15_t)0xa3f, (q15_t)0x806a, (q15_t)0xa39, (q15_t)0x8069,
+ (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa2c, (q15_t)0x8068, (q15_t)0xa26, (q15_t)0x8068, (q15_t)0xa20, (q15_t)0x8067,
+ (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa13, (q15_t)0x8066, (q15_t)0xa0d, (q15_t)0x8066, (q15_t)0xa07, (q15_t)0x8065,
+ (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9fa, (q15_t)0x8064, (q15_t)0x9f4, (q15_t)0x8064, (q15_t)0x9ee, (q15_t)0x8063,
+ (q15_t)0x9e7, (q15_t)0x8063, (q15_t)0x9e1, (q15_t)0x8062, (q15_t)0x9db, (q15_t)0x8062, (q15_t)0x9d5, (q15_t)0x8061,
+ (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9c8, (q15_t)0x8060, (q15_t)0x9c2, (q15_t)0x8060, (q15_t)0x9bc, (q15_t)0x805f,
+ (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x9af, (q15_t)0x805e, (q15_t)0x9a9, (q15_t)0x805e, (q15_t)0x9a2, (q15_t)0x805d,
+ (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x996, (q15_t)0x805d, (q15_t)0x990, (q15_t)0x805c, (q15_t)0x989, (q15_t)0x805c,
+ (q15_t)0x983, (q15_t)0x805b, (q15_t)0x97d, (q15_t)0x805b, (q15_t)0x977, (q15_t)0x805a, (q15_t)0x970, (q15_t)0x805a,
+ (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x964, (q15_t)0x8059, (q15_t)0x95e, (q15_t)0x8058, (q15_t)0x957, (q15_t)0x8058,
+ (q15_t)0x951, (q15_t)0x8057, (q15_t)0x94b, (q15_t)0x8057, (q15_t)0x944, (q15_t)0x8057, (q15_t)0x93e, (q15_t)0x8056,
+ (q15_t)0x938, (q15_t)0x8056, (q15_t)0x932, (q15_t)0x8055, (q15_t)0x92b, (q15_t)0x8055, (q15_t)0x925, (q15_t)0x8054,
+ (q15_t)0x91f, (q15_t)0x8054, (q15_t)0x919, (q15_t)0x8053, (q15_t)0x912, (q15_t)0x8053, (q15_t)0x90c, (q15_t)0x8052,
+ (q15_t)0x906, (q15_t)0x8052, (q15_t)0x900, (q15_t)0x8052, (q15_t)0x8f9, (q15_t)0x8051, (q15_t)0x8f3, (q15_t)0x8051,
+ (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8e6, (q15_t)0x8050, (q15_t)0x8e0, (q15_t)0x804f, (q15_t)0x8da, (q15_t)0x804f,
+ (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8cd, (q15_t)0x804e, (q15_t)0x8c7, (q15_t)0x804e, (q15_t)0x8c1, (q15_t)0x804d,
+ (q15_t)0x8bb, (q15_t)0x804d, (q15_t)0x8b4, (q15_t)0x804c, (q15_t)0x8ae, (q15_t)0x804c, (q15_t)0x8a8, (q15_t)0x804c,
+ (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x89b, (q15_t)0x804b, (q15_t)0x895, (q15_t)0x804a, (q15_t)0x88f, (q15_t)0x804a,
+ (q15_t)0x888, (q15_t)0x8049, (q15_t)0x882, (q15_t)0x8049, (q15_t)0x87c, (q15_t)0x8049, (q15_t)0x876, (q15_t)0x8048,
+ (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x869, (q15_t)0x8047, (q15_t)0x863, (q15_t)0x8047, (q15_t)0x85d, (q15_t)0x8047,
+ (q15_t)0x856, (q15_t)0x8046, (q15_t)0x850, (q15_t)0x8046, (q15_t)0x84a, (q15_t)0x8045, (q15_t)0x843, (q15_t)0x8045,
+ (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x837, (q15_t)0x8044, (q15_t)0x831, (q15_t)0x8044, (q15_t)0x82a, (q15_t)0x8043,
+ (q15_t)0x824, (q15_t)0x8043, (q15_t)0x81e, (q15_t)0x8042, (q15_t)0x818, (q15_t)0x8042, (q15_t)0x811, (q15_t)0x8042,
+ (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x805, (q15_t)0x8041, (q15_t)0x7fe, (q15_t)0x8040, (q15_t)0x7f8, (q15_t)0x8040,
+ (q15_t)0x7f2, (q15_t)0x8040, (q15_t)0x7ec, (q15_t)0x803f, (q15_t)0x7e5, (q15_t)0x803f, (q15_t)0x7df, (q15_t)0x803f,
+ (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7d3, (q15_t)0x803e, (q15_t)0x7cc, (q15_t)0x803d, (q15_t)0x7c6, (q15_t)0x803d,
+ (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7ba, (q15_t)0x803c, (q15_t)0x7b3, (q15_t)0x803c, (q15_t)0x7ad, (q15_t)0x803b,
+ (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x7a0, (q15_t)0x803b, (q15_t)0x79a, (q15_t)0x803a, (q15_t)0x794, (q15_t)0x803a,
+ (q15_t)0x78e, (q15_t)0x803a, (q15_t)0x787, (q15_t)0x8039, (q15_t)0x781, (q15_t)0x8039, (q15_t)0x77b, (q15_t)0x8039,
+ (q15_t)0x775, (q15_t)0x8038, (q15_t)0x76e, (q15_t)0x8038, (q15_t)0x768, (q15_t)0x8037, (q15_t)0x762, (q15_t)0x8037,
+ (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x755, (q15_t)0x8036, (q15_t)0x74f, (q15_t)0x8036, (q15_t)0x749, (q15_t)0x8036,
+ (q15_t)0x742, (q15_t)0x8035, (q15_t)0x73c, (q15_t)0x8035, (q15_t)0x736, (q15_t)0x8035, (q15_t)0x730, (q15_t)0x8034,
+ (q15_t)0x729, (q15_t)0x8034, (q15_t)0x723, (q15_t)0x8033, (q15_t)0x71d, (q15_t)0x8033, (q15_t)0x716, (q15_t)0x8033,
+ (q15_t)0x710, (q15_t)0x8032, (q15_t)0x70a, (q15_t)0x8032, (q15_t)0x704, (q15_t)0x8032, (q15_t)0x6fd, (q15_t)0x8031,
+ (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6f1, (q15_t)0x8031, (q15_t)0x6ea, (q15_t)0x8030, (q15_t)0x6e4, (q15_t)0x8030,
+ (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6d8, (q15_t)0x802f, (q15_t)0x6d1, (q15_t)0x802f, (q15_t)0x6cb, (q15_t)0x802f,
+ (q15_t)0x6c5, (q15_t)0x802e, (q15_t)0x6bf, (q15_t)0x802e, (q15_t)0x6b8, (q15_t)0x802e, (q15_t)0x6b2, (q15_t)0x802d,
+ (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x6a5, (q15_t)0x802d, (q15_t)0x69f, (q15_t)0x802c, (q15_t)0x699, (q15_t)0x802c,
+ (q15_t)0x693, (q15_t)0x802c, (q15_t)0x68c, (q15_t)0x802b, (q15_t)0x686, (q15_t)0x802b, (q15_t)0x680, (q15_t)0x802b,
+ (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x673, (q15_t)0x802a, (q15_t)0x66d, (q15_t)0x802a, (q15_t)0x667, (q15_t)0x802a,
+ (q15_t)0x660, (q15_t)0x8029, (q15_t)0x65a, (q15_t)0x8029, (q15_t)0x654, (q15_t)0x8029, (q15_t)0x64e, (q15_t)0x8028,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x641, (q15_t)0x8028, (q15_t)0x63b, (q15_t)0x8027, (q15_t)0x635, (q15_t)0x8027,
+ (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x628, (q15_t)0x8026, (q15_t)0x622, (q15_t)0x8026, (q15_t)0x61b, (q15_t)0x8026,
+ (q15_t)0x615, (q15_t)0x8026, (q15_t)0x60f, (q15_t)0x8025, (q15_t)0x609, (q15_t)0x8025, (q15_t)0x602, (q15_t)0x8025,
+ (q15_t)0x5fc, (q15_t)0x8024, (q15_t)0x5f6, (q15_t)0x8024, (q15_t)0x5ef, (q15_t)0x8024, (q15_t)0x5e9, (q15_t)0x8023,
+ (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5dd, (q15_t)0x8023, (q15_t)0x5d6, (q15_t)0x8023, (q15_t)0x5d0, (q15_t)0x8022,
+ (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5c4, (q15_t)0x8022, (q15_t)0x5bd, (q15_t)0x8021, (q15_t)0x5b7, (q15_t)0x8021,
+ (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x5aa, (q15_t)0x8021, (q15_t)0x5a4, (q15_t)0x8020, (q15_t)0x59e, (q15_t)0x8020,
+ (q15_t)0x598, (q15_t)0x8020, (q15_t)0x591, (q15_t)0x8020, (q15_t)0x58b, (q15_t)0x801f, (q15_t)0x585, (q15_t)0x801f,
+ (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x578, (q15_t)0x801e, (q15_t)0x572, (q15_t)0x801e, (q15_t)0x56c, (q15_t)0x801e,
+ (q15_t)0x565, (q15_t)0x801e, (q15_t)0x55f, (q15_t)0x801d, (q15_t)0x559, (q15_t)0x801d, (q15_t)0x553, (q15_t)0x801d,
+ (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x546, (q15_t)0x801c, (q15_t)0x540, (q15_t)0x801c, (q15_t)0x539, (q15_t)0x801c,
+ (q15_t)0x533, (q15_t)0x801c, (q15_t)0x52d, (q15_t)0x801b, (q15_t)0x527, (q15_t)0x801b, (q15_t)0x520, (q15_t)0x801b,
+ (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x514, (q15_t)0x801a, (q15_t)0x50d, (q15_t)0x801a, (q15_t)0x507, (q15_t)0x801a,
+ (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4fb, (q15_t)0x8019, (q15_t)0x4f4, (q15_t)0x8019, (q15_t)0x4ee, (q15_t)0x8019,
+ (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4e2, (q15_t)0x8018, (q15_t)0x4db, (q15_t)0x8018, (q15_t)0x4d5, (q15_t)0x8018,
+ (q15_t)0x4cf, (q15_t)0x8018, (q15_t)0x4c8, (q15_t)0x8017, (q15_t)0x4c2, (q15_t)0x8017, (q15_t)0x4bc, (q15_t)0x8017,
+ (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x4af, (q15_t)0x8016, (q15_t)0x4a9, (q15_t)0x8016, (q15_t)0x4a3, (q15_t)0x8016,
+ (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x496, (q15_t)0x8016, (q15_t)0x490, (q15_t)0x8015, (q15_t)0x48a, (q15_t)0x8015,
+ (q15_t)0x483, (q15_t)0x8015, (q15_t)0x47d, (q15_t)0x8015, (q15_t)0x477, (q15_t)0x8014, (q15_t)0x471, (q15_t)0x8014,
+ (q15_t)0x46a, (q15_t)0x8014, (q15_t)0x464, (q15_t)0x8014, (q15_t)0x45e, (q15_t)0x8014, (q15_t)0x457, (q15_t)0x8013,
+ (q15_t)0x451, (q15_t)0x8013, (q15_t)0x44b, (q15_t)0x8013, (q15_t)0x445, (q15_t)0x8013, (q15_t)0x43e, (q15_t)0x8013,
+ (q15_t)0x438, (q15_t)0x8012, (q15_t)0x432, (q15_t)0x8012, (q15_t)0x42b, (q15_t)0x8012, (q15_t)0x425, (q15_t)0x8012,
+ (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x419, (q15_t)0x8011, (q15_t)0x412, (q15_t)0x8011, (q15_t)0x40c, (q15_t)0x8011,
+ (q15_t)0x406, (q15_t)0x8011, (q15_t)0x3ff, (q15_t)0x8011, (q15_t)0x3f9, (q15_t)0x8010, (q15_t)0x3f3, (q15_t)0x8010,
+ (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3e6, (q15_t)0x8010, (q15_t)0x3e0, (q15_t)0x8010, (q15_t)0x3da, (q15_t)0x800f,
+ (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3cd, (q15_t)0x800f, (q15_t)0x3c7, (q15_t)0x800f, (q15_t)0x3c1, (q15_t)0x800f,
+ (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3b4, (q15_t)0x800e, (q15_t)0x3ae, (q15_t)0x800e, (q15_t)0x3a8, (q15_t)0x800e,
+ (q15_t)0x3a1, (q15_t)0x800e, (q15_t)0x39b, (q15_t)0x800e, (q15_t)0x395, (q15_t)0x800d, (q15_t)0x38e, (q15_t)0x800d,
+ (q15_t)0x388, (q15_t)0x800d, (q15_t)0x382, (q15_t)0x800d, (q15_t)0x37c, (q15_t)0x800d, (q15_t)0x375, (q15_t)0x800c,
+ (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x369, (q15_t)0x800c, (q15_t)0x362, (q15_t)0x800c, (q15_t)0x35c, (q15_t)0x800c,
+ (q15_t)0x356, (q15_t)0x800c, (q15_t)0x350, (q15_t)0x800b, (q15_t)0x349, (q15_t)0x800b, (q15_t)0x343, (q15_t)0x800b,
+ (q15_t)0x33d, (q15_t)0x800b, (q15_t)0x337, (q15_t)0x800b, (q15_t)0x330, (q15_t)0x800b, (q15_t)0x32a, (q15_t)0x800b,
+ (q15_t)0x324, (q15_t)0x800a, (q15_t)0x31d, (q15_t)0x800a, (q15_t)0x317, (q15_t)0x800a, (q15_t)0x311, (q15_t)0x800a,
+ (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x304, (q15_t)0x800a, (q15_t)0x2fe, (q15_t)0x8009, (q15_t)0x2f8, (q15_t)0x8009,
+ (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2eb, (q15_t)0x8009, (q15_t)0x2e5, (q15_t)0x8009, (q15_t)0x2df, (q15_t)0x8009,
+ (q15_t)0x2d8, (q15_t)0x8009, (q15_t)0x2d2, (q15_t)0x8008, (q15_t)0x2cc, (q15_t)0x8008, (q15_t)0x2c5, (q15_t)0x8008,
+ (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2b9, (q15_t)0x8008, (q15_t)0x2b3, (q15_t)0x8008, (q15_t)0x2ac, (q15_t)0x8008,
+ (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x2a0, (q15_t)0x8007, (q15_t)0x299, (q15_t)0x8007, (q15_t)0x293, (q15_t)0x8007,
+ (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x287, (q15_t)0x8007, (q15_t)0x280, (q15_t)0x8007, (q15_t)0x27a, (q15_t)0x8007,
+ (q15_t)0x274, (q15_t)0x8007, (q15_t)0x26d, (q15_t)0x8006, (q15_t)0x267, (q15_t)0x8006, (q15_t)0x261, (q15_t)0x8006,
+ (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x254, (q15_t)0x8006, (q15_t)0x24e, (q15_t)0x8006, (q15_t)0x248, (q15_t)0x8006,
+ (q15_t)0x242, (q15_t)0x8006, (q15_t)0x23b, (q15_t)0x8005, (q15_t)0x235, (q15_t)0x8005, (q15_t)0x22f, (q15_t)0x8005,
+ (q15_t)0x228, (q15_t)0x8005, (q15_t)0x222, (q15_t)0x8005, (q15_t)0x21c, (q15_t)0x8005, (q15_t)0x216, (q15_t)0x8005,
+ (q15_t)0x20f, (q15_t)0x8005, (q15_t)0x209, (q15_t)0x8005, (q15_t)0x203, (q15_t)0x8005, (q15_t)0x1fc, (q15_t)0x8004,
+ (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1f0, (q15_t)0x8004, (q15_t)0x1ea, (q15_t)0x8004, (q15_t)0x1e3, (q15_t)0x8004,
+ (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1d7, (q15_t)0x8004, (q15_t)0x1d0, (q15_t)0x8004, (q15_t)0x1ca, (q15_t)0x8004,
+ (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1be, (q15_t)0x8004, (q15_t)0x1b7, (q15_t)0x8003, (q15_t)0x1b1, (q15_t)0x8003,
+ (q15_t)0x1ab, (q15_t)0x8003, (q15_t)0x1a4, (q15_t)0x8003, (q15_t)0x19e, (q15_t)0x8003, (q15_t)0x198, (q15_t)0x8003,
+ (q15_t)0x192, (q15_t)0x8003, (q15_t)0x18b, (q15_t)0x8003, (q15_t)0x185, (q15_t)0x8003, (q15_t)0x17f, (q15_t)0x8003,
+ (q15_t)0x178, (q15_t)0x8003, (q15_t)0x172, (q15_t)0x8003, (q15_t)0x16c, (q15_t)0x8003, (q15_t)0x166, (q15_t)0x8002,
+ (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x159, (q15_t)0x8002, (q15_t)0x153, (q15_t)0x8002, (q15_t)0x14d, (q15_t)0x8002,
+ (q15_t)0x146, (q15_t)0x8002, (q15_t)0x140, (q15_t)0x8002, (q15_t)0x13a, (q15_t)0x8002, (q15_t)0x133, (q15_t)0x8002,
+ (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x127, (q15_t)0x8002, (q15_t)0x121, (q15_t)0x8002, (q15_t)0x11a, (q15_t)0x8002,
+ (q15_t)0x114, (q15_t)0x8002, (q15_t)0x10e, (q15_t)0x8002, (q15_t)0x107, (q15_t)0x8002, (q15_t)0x101, (q15_t)0x8002,
+ (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xf5, (q15_t)0x8001, (q15_t)0xee, (q15_t)0x8001, (q15_t)0xe8, (q15_t)0x8001,
+ (q15_t)0xe2, (q15_t)0x8001, (q15_t)0xdb, (q15_t)0x8001, (q15_t)0xd5, (q15_t)0x8001, (q15_t)0xcf, (q15_t)0x8001,
+ (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xc2, (q15_t)0x8001, (q15_t)0xbc, (q15_t)0x8001, (q15_t)0xb6, (q15_t)0x8001,
+ (q15_t)0xaf, (q15_t)0x8001, (q15_t)0xa9, (q15_t)0x8001, (q15_t)0xa3, (q15_t)0x8001, (q15_t)0x9d, (q15_t)0x8001,
+ (q15_t)0x96, (q15_t)0x8001, (q15_t)0x90, (q15_t)0x8001, (q15_t)0x8a, (q15_t)0x8001, (q15_t)0x83, (q15_t)0x8001,
+ (q15_t)0x7d, (q15_t)0x8001, (q15_t)0x77, (q15_t)0x8001, (q15_t)0x71, (q15_t)0x8001, (q15_t)0x6a, (q15_t)0x8001,
+ (q15_t)0x64, (q15_t)0x8001, (q15_t)0x5e, (q15_t)0x8001, (q15_t)0x57, (q15_t)0x8001, (q15_t)0x51, (q15_t)0x8001,
+ (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x45, (q15_t)0x8001, (q15_t)0x3e, (q15_t)0x8001, (q15_t)0x38, (q15_t)0x8001,
+ (q15_t)0x32, (q15_t)0x8001, (q15_t)0x2b, (q15_t)0x8001, (q15_t)0x25, (q15_t)0x8001, (q15_t)0x1f, (q15_t)0x8001,
+ (q15_t)0x19, (q15_t)0x8001, (q15_t)0x12, (q15_t)0x8001, (q15_t)0xc, (q15_t)0x8001, (q15_t)0x6, (q15_t)0x8001
+};
+
+ const q15_t __ALIGNED(4) cos_factorsQ15_8192[8192] = {
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe,
+ (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe,
+ (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd,
+ (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc,
+ (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc,
+ (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb,
+ (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa,
+ (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9,
+ (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8,
+ (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7,
+ (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6,
+ (q15_t)0x7ff6, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4,
+ (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3,
+ (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2,
+ (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff0, (q15_t)0x7ff0,
+ (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef,
+ (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fed,
+ (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7feb,
+ (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fe9,
+ (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8,
+ (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6,
+ (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4,
+ (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe1,
+ (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdf,
+ (q15_t)0x7fdf, (q15_t)0x7fdf, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fdd, (q15_t)0x7fdd,
+ (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb,
+ (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd8, (q15_t)0x7fd8,
+ (q15_t)0x7fd8, (q15_t)0x7fd8, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd6, (q15_t)0x7fd6,
+ (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd3, (q15_t)0x7fd3,
+ (q15_t)0x7fd3, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd0,
+ (q15_t)0x7fd0, (q15_t)0x7fd0, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fce, (q15_t)0x7fce, (q15_t)0x7fce,
+ (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcb, (q15_t)0x7fcb,
+ (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc8, (q15_t)0x7fc8,
+ (q15_t)0x7fc8, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc6, (q15_t)0x7fc5, (q15_t)0x7fc5,
+ (q15_t)0x7fc5, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc3, (q15_t)0x7fc3, (q15_t)0x7fc2, (q15_t)0x7fc2,
+ (q15_t)0x7fc2, (q15_t)0x7fc1, (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fbf, (q15_t)0x7fbf,
+ (q15_t)0x7fbf, (q15_t)0x7fbe, (q15_t)0x7fbe, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbc, (q15_t)0x7fbc,
+ (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fba, (q15_t)0x7fba, (q15_t)0x7fb9, (q15_t)0x7fb9, (q15_t)0x7fb8,
+ (q15_t)0x7fb8, (q15_t)0x7fb8, (q15_t)0x7fb7, (q15_t)0x7fb7, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb5,
+ (q15_t)0x7fb5, (q15_t)0x7fb4, (q15_t)0x7fb4, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb2, (q15_t)0x7fb2,
+ (q15_t)0x7fb1, (q15_t)0x7fb1, (q15_t)0x7fb0, (q15_t)0x7fb0, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7fae,
+ (q15_t)0x7fae, (q15_t)0x7fad, (q15_t)0x7fad, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fab, (q15_t)0x7fab,
+ (q15_t)0x7faa, (q15_t)0x7faa, (q15_t)0x7fa9, (q15_t)0x7fa9, (q15_t)0x7fa8, (q15_t)0x7fa8, (q15_t)0x7fa7, (q15_t)0x7fa7,
+ (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa5, (q15_t)0x7fa5, (q15_t)0x7fa4, (q15_t)0x7fa4, (q15_t)0x7fa3,
+ (q15_t)0x7fa3, (q15_t)0x7fa2, (q15_t)0x7fa2, (q15_t)0x7fa1, (q15_t)0x7fa1, (q15_t)0x7fa0, (q15_t)0x7fa0, (q15_t)0x7f9f,
+ (q15_t)0x7f9f, (q15_t)0x7f9e, (q15_t)0x7f9e, (q15_t)0x7f9d, (q15_t)0x7f9d, (q15_t)0x7f9c, (q15_t)0x7f9c, (q15_t)0x7f9c,
+ (q15_t)0x7f9b, (q15_t)0x7f9b, (q15_t)0x7f9a, (q15_t)0x7f9a, (q15_t)0x7f99, (q15_t)0x7f99, (q15_t)0x7f98, (q15_t)0x7f98,
+ (q15_t)0x7f97, (q15_t)0x7f97, (q15_t)0x7f96, (q15_t)0x7f96, (q15_t)0x7f95, (q15_t)0x7f95, (q15_t)0x7f94, (q15_t)0x7f94,
+ (q15_t)0x7f93, (q15_t)0x7f92, (q15_t)0x7f92, (q15_t)0x7f91, (q15_t)0x7f91, (q15_t)0x7f90, (q15_t)0x7f90, (q15_t)0x7f8f,
+ (q15_t)0x7f8f, (q15_t)0x7f8e, (q15_t)0x7f8e, (q15_t)0x7f8d, (q15_t)0x7f8d, (q15_t)0x7f8c, (q15_t)0x7f8c, (q15_t)0x7f8b,
+ (q15_t)0x7f8b, (q15_t)0x7f8a, (q15_t)0x7f8a, (q15_t)0x7f89, (q15_t)0x7f89, (q15_t)0x7f88, (q15_t)0x7f87, (q15_t)0x7f87,
+ (q15_t)0x7f86, (q15_t)0x7f86, (q15_t)0x7f85, (q15_t)0x7f85, (q15_t)0x7f84, (q15_t)0x7f84, (q15_t)0x7f83, (q15_t)0x7f83,
+ (q15_t)0x7f82, (q15_t)0x7f81, (q15_t)0x7f81, (q15_t)0x7f80, (q15_t)0x7f80, (q15_t)0x7f7f, (q15_t)0x7f7f, (q15_t)0x7f7e,
+ (q15_t)0x7f7e, (q15_t)0x7f7d, (q15_t)0x7f7c, (q15_t)0x7f7c, (q15_t)0x7f7b, (q15_t)0x7f7b, (q15_t)0x7f7a, (q15_t)0x7f7a,
+ (q15_t)0x7f79, (q15_t)0x7f79, (q15_t)0x7f78, (q15_t)0x7f77, (q15_t)0x7f77, (q15_t)0x7f76, (q15_t)0x7f76, (q15_t)0x7f75,
+ (q15_t)0x7f75, (q15_t)0x7f74, (q15_t)0x7f73, (q15_t)0x7f73, (q15_t)0x7f72, (q15_t)0x7f72, (q15_t)0x7f71, (q15_t)0x7f70,
+ (q15_t)0x7f70, (q15_t)0x7f6f, (q15_t)0x7f6f, (q15_t)0x7f6e, (q15_t)0x7f6d, (q15_t)0x7f6d, (q15_t)0x7f6c, (q15_t)0x7f6c,
+ (q15_t)0x7f6b, (q15_t)0x7f6b, (q15_t)0x7f6a, (q15_t)0x7f69, (q15_t)0x7f69, (q15_t)0x7f68, (q15_t)0x7f68, (q15_t)0x7f67,
+ (q15_t)0x7f66, (q15_t)0x7f66, (q15_t)0x7f65, (q15_t)0x7f64, (q15_t)0x7f64, (q15_t)0x7f63, (q15_t)0x7f63, (q15_t)0x7f62,
+ (q15_t)0x7f61, (q15_t)0x7f61, (q15_t)0x7f60, (q15_t)0x7f60, (q15_t)0x7f5f, (q15_t)0x7f5e, (q15_t)0x7f5e, (q15_t)0x7f5d,
+ (q15_t)0x7f5c, (q15_t)0x7f5c, (q15_t)0x7f5b, (q15_t)0x7f5b, (q15_t)0x7f5a, (q15_t)0x7f59, (q15_t)0x7f59, (q15_t)0x7f58,
+ (q15_t)0x7f57, (q15_t)0x7f57, (q15_t)0x7f56, (q15_t)0x7f55, (q15_t)0x7f55, (q15_t)0x7f54, (q15_t)0x7f54, (q15_t)0x7f53,
+ (q15_t)0x7f52, (q15_t)0x7f52, (q15_t)0x7f51, (q15_t)0x7f50, (q15_t)0x7f50, (q15_t)0x7f4f, (q15_t)0x7f4e, (q15_t)0x7f4e,
+ (q15_t)0x7f4d, (q15_t)0x7f4c, (q15_t)0x7f4c, (q15_t)0x7f4b, (q15_t)0x7f4a, (q15_t)0x7f4a, (q15_t)0x7f49, (q15_t)0x7f48,
+ (q15_t)0x7f48, (q15_t)0x7f47, (q15_t)0x7f46, (q15_t)0x7f46, (q15_t)0x7f45, (q15_t)0x7f44, (q15_t)0x7f44, (q15_t)0x7f43,
+ (q15_t)0x7f42, (q15_t)0x7f42, (q15_t)0x7f41, (q15_t)0x7f40, (q15_t)0x7f40, (q15_t)0x7f3f, (q15_t)0x7f3e, (q15_t)0x7f3e,
+ (q15_t)0x7f3d, (q15_t)0x7f3c, (q15_t)0x7f3c, (q15_t)0x7f3b, (q15_t)0x7f3a, (q15_t)0x7f3a, (q15_t)0x7f39, (q15_t)0x7f38,
+ (q15_t)0x7f37, (q15_t)0x7f37, (q15_t)0x7f36, (q15_t)0x7f35, (q15_t)0x7f35, (q15_t)0x7f34, (q15_t)0x7f33, (q15_t)0x7f33,
+ (q15_t)0x7f32, (q15_t)0x7f31, (q15_t)0x7f31, (q15_t)0x7f30, (q15_t)0x7f2f, (q15_t)0x7f2e, (q15_t)0x7f2e, (q15_t)0x7f2d,
+ (q15_t)0x7f2c, (q15_t)0x7f2c, (q15_t)0x7f2b, (q15_t)0x7f2a, (q15_t)0x7f29, (q15_t)0x7f29, (q15_t)0x7f28, (q15_t)0x7f27,
+ (q15_t)0x7f27, (q15_t)0x7f26, (q15_t)0x7f25, (q15_t)0x7f24, (q15_t)0x7f24, (q15_t)0x7f23, (q15_t)0x7f22, (q15_t)0x7f21,
+ (q15_t)0x7f21, (q15_t)0x7f20, (q15_t)0x7f1f, (q15_t)0x7f1f, (q15_t)0x7f1e, (q15_t)0x7f1d, (q15_t)0x7f1c, (q15_t)0x7f1c,
+ (q15_t)0x7f1b, (q15_t)0x7f1a, (q15_t)0x7f19, (q15_t)0x7f19, (q15_t)0x7f18, (q15_t)0x7f17, (q15_t)0x7f16, (q15_t)0x7f16,
+ (q15_t)0x7f15, (q15_t)0x7f14, (q15_t)0x7f13, (q15_t)0x7f13, (q15_t)0x7f12, (q15_t)0x7f11, (q15_t)0x7f10, (q15_t)0x7f10,
+ (q15_t)0x7f0f, (q15_t)0x7f0e, (q15_t)0x7f0d, (q15_t)0x7f0d, (q15_t)0x7f0c, (q15_t)0x7f0b, (q15_t)0x7f0a, (q15_t)0x7f09,
+ (q15_t)0x7f09, (q15_t)0x7f08, (q15_t)0x7f07, (q15_t)0x7f06, (q15_t)0x7f06, (q15_t)0x7f05, (q15_t)0x7f04, (q15_t)0x7f03,
+ (q15_t)0x7f02, (q15_t)0x7f02, (q15_t)0x7f01, (q15_t)0x7f00, (q15_t)0x7eff, (q15_t)0x7eff, (q15_t)0x7efe, (q15_t)0x7efd,
+ (q15_t)0x7efc, (q15_t)0x7efb, (q15_t)0x7efb, (q15_t)0x7efa, (q15_t)0x7ef9, (q15_t)0x7ef8, (q15_t)0x7ef7, (q15_t)0x7ef7,
+ (q15_t)0x7ef6, (q15_t)0x7ef5, (q15_t)0x7ef4, (q15_t)0x7ef3, (q15_t)0x7ef3, (q15_t)0x7ef2, (q15_t)0x7ef1, (q15_t)0x7ef0,
+ (q15_t)0x7eef, (q15_t)0x7eef, (q15_t)0x7eee, (q15_t)0x7eed, (q15_t)0x7eec, (q15_t)0x7eeb, (q15_t)0x7eeb, (q15_t)0x7eea,
+ (q15_t)0x7ee9, (q15_t)0x7ee8, (q15_t)0x7ee7, (q15_t)0x7ee6, (q15_t)0x7ee6, (q15_t)0x7ee5, (q15_t)0x7ee4, (q15_t)0x7ee3,
+ (q15_t)0x7ee2, (q15_t)0x7ee2, (q15_t)0x7ee1, (q15_t)0x7ee0, (q15_t)0x7edf, (q15_t)0x7ede, (q15_t)0x7edd, (q15_t)0x7edd,
+ (q15_t)0x7edc, (q15_t)0x7edb, (q15_t)0x7eda, (q15_t)0x7ed9, (q15_t)0x7ed8, (q15_t)0x7ed8, (q15_t)0x7ed7, (q15_t)0x7ed6,
+ (q15_t)0x7ed5, (q15_t)0x7ed4, (q15_t)0x7ed3, (q15_t)0x7ed2, (q15_t)0x7ed2, (q15_t)0x7ed1, (q15_t)0x7ed0, (q15_t)0x7ecf,
+ (q15_t)0x7ece, (q15_t)0x7ecd, (q15_t)0x7ecc, (q15_t)0x7ecc, (q15_t)0x7ecb, (q15_t)0x7eca, (q15_t)0x7ec9, (q15_t)0x7ec8,
+ (q15_t)0x7ec7, (q15_t)0x7ec6, (q15_t)0x7ec6, (q15_t)0x7ec5, (q15_t)0x7ec4, (q15_t)0x7ec3, (q15_t)0x7ec2, (q15_t)0x7ec1,
+ (q15_t)0x7ec0, (q15_t)0x7ebf, (q15_t)0x7ebf, (q15_t)0x7ebe, (q15_t)0x7ebd, (q15_t)0x7ebc, (q15_t)0x7ebb, (q15_t)0x7eba,
+ (q15_t)0x7eb9, (q15_t)0x7eb8, (q15_t)0x7eb8, (q15_t)0x7eb7, (q15_t)0x7eb6, (q15_t)0x7eb5, (q15_t)0x7eb4, (q15_t)0x7eb3,
+ (q15_t)0x7eb2, (q15_t)0x7eb1, (q15_t)0x7eb0, (q15_t)0x7eaf, (q15_t)0x7eaf, (q15_t)0x7eae, (q15_t)0x7ead, (q15_t)0x7eac,
+ (q15_t)0x7eab, (q15_t)0x7eaa, (q15_t)0x7ea9, (q15_t)0x7ea8, (q15_t)0x7ea7, (q15_t)0x7ea6, (q15_t)0x7ea6, (q15_t)0x7ea5,
+ (q15_t)0x7ea4, (q15_t)0x7ea3, (q15_t)0x7ea2, (q15_t)0x7ea1, (q15_t)0x7ea0, (q15_t)0x7e9f, (q15_t)0x7e9e, (q15_t)0x7e9d,
+ (q15_t)0x7e9c, (q15_t)0x7e9b, (q15_t)0x7e9b, (q15_t)0x7e9a, (q15_t)0x7e99, (q15_t)0x7e98, (q15_t)0x7e97, (q15_t)0x7e96,
+ (q15_t)0x7e95, (q15_t)0x7e94, (q15_t)0x7e93, (q15_t)0x7e92, (q15_t)0x7e91, (q15_t)0x7e90, (q15_t)0x7e8f, (q15_t)0x7e8e,
+ (q15_t)0x7e8d, (q15_t)0x7e8d, (q15_t)0x7e8c, (q15_t)0x7e8b, (q15_t)0x7e8a, (q15_t)0x7e89, (q15_t)0x7e88, (q15_t)0x7e87,
+ (q15_t)0x7e86, (q15_t)0x7e85, (q15_t)0x7e84, (q15_t)0x7e83, (q15_t)0x7e82, (q15_t)0x7e81, (q15_t)0x7e80, (q15_t)0x7e7f,
+ (q15_t)0x7e7e, (q15_t)0x7e7d, (q15_t)0x7e7c, (q15_t)0x7e7b, (q15_t)0x7e7a, (q15_t)0x7e79, (q15_t)0x7e78, (q15_t)0x7e77,
+ (q15_t)0x7e77, (q15_t)0x7e76, (q15_t)0x7e75, (q15_t)0x7e74, (q15_t)0x7e73, (q15_t)0x7e72, (q15_t)0x7e71, (q15_t)0x7e70,
+ (q15_t)0x7e6f, (q15_t)0x7e6e, (q15_t)0x7e6d, (q15_t)0x7e6c, (q15_t)0x7e6b, (q15_t)0x7e6a, (q15_t)0x7e69, (q15_t)0x7e68,
+ (q15_t)0x7e67, (q15_t)0x7e66, (q15_t)0x7e65, (q15_t)0x7e64, (q15_t)0x7e63, (q15_t)0x7e62, (q15_t)0x7e61, (q15_t)0x7e60,
+ (q15_t)0x7e5f, (q15_t)0x7e5e, (q15_t)0x7e5d, (q15_t)0x7e5c, (q15_t)0x7e5b, (q15_t)0x7e5a, (q15_t)0x7e59, (q15_t)0x7e58,
+ (q15_t)0x7e57, (q15_t)0x7e56, (q15_t)0x7e55, (q15_t)0x7e54, (q15_t)0x7e53, (q15_t)0x7e52, (q15_t)0x7e51, (q15_t)0x7e50,
+ (q15_t)0x7e4f, (q15_t)0x7e4e, (q15_t)0x7e4d, (q15_t)0x7e4c, (q15_t)0x7e4b, (q15_t)0x7e4a, (q15_t)0x7e49, (q15_t)0x7e48,
+ (q15_t)0x7e47, (q15_t)0x7e46, (q15_t)0x7e45, (q15_t)0x7e43, (q15_t)0x7e42, (q15_t)0x7e41, (q15_t)0x7e40, (q15_t)0x7e3f,
+ (q15_t)0x7e3e, (q15_t)0x7e3d, (q15_t)0x7e3c, (q15_t)0x7e3b, (q15_t)0x7e3a, (q15_t)0x7e39, (q15_t)0x7e38, (q15_t)0x7e37,
+ (q15_t)0x7e36, (q15_t)0x7e35, (q15_t)0x7e34, (q15_t)0x7e33, (q15_t)0x7e32, (q15_t)0x7e31, (q15_t)0x7e30, (q15_t)0x7e2f,
+ (q15_t)0x7e2e, (q15_t)0x7e2d, (q15_t)0x7e2b, (q15_t)0x7e2a, (q15_t)0x7e29, (q15_t)0x7e28, (q15_t)0x7e27, (q15_t)0x7e26,
+ (q15_t)0x7e25, (q15_t)0x7e24, (q15_t)0x7e23, (q15_t)0x7e22, (q15_t)0x7e21, (q15_t)0x7e20, (q15_t)0x7e1f, (q15_t)0x7e1e,
+ (q15_t)0x7e1d, (q15_t)0x7e1b, (q15_t)0x7e1a, (q15_t)0x7e19, (q15_t)0x7e18, (q15_t)0x7e17, (q15_t)0x7e16, (q15_t)0x7e15,
+ (q15_t)0x7e14, (q15_t)0x7e13, (q15_t)0x7e12, (q15_t)0x7e11, (q15_t)0x7e10, (q15_t)0x7e0e, (q15_t)0x7e0d, (q15_t)0x7e0c,
+ (q15_t)0x7e0b, (q15_t)0x7e0a, (q15_t)0x7e09, (q15_t)0x7e08, (q15_t)0x7e07, (q15_t)0x7e06, (q15_t)0x7e05, (q15_t)0x7e04,
+ (q15_t)0x7e02, (q15_t)0x7e01, (q15_t)0x7e00, (q15_t)0x7dff, (q15_t)0x7dfe, (q15_t)0x7dfd, (q15_t)0x7dfc, (q15_t)0x7dfb,
+ (q15_t)0x7dfa, (q15_t)0x7df8, (q15_t)0x7df7, (q15_t)0x7df6, (q15_t)0x7df5, (q15_t)0x7df4, (q15_t)0x7df3, (q15_t)0x7df2,
+ (q15_t)0x7df1, (q15_t)0x7def, (q15_t)0x7dee, (q15_t)0x7ded, (q15_t)0x7dec, (q15_t)0x7deb, (q15_t)0x7dea, (q15_t)0x7de9,
+ (q15_t)0x7de8, (q15_t)0x7de6, (q15_t)0x7de5, (q15_t)0x7de4, (q15_t)0x7de3, (q15_t)0x7de2, (q15_t)0x7de1, (q15_t)0x7de0,
+ (q15_t)0x7dde, (q15_t)0x7ddd, (q15_t)0x7ddc, (q15_t)0x7ddb, (q15_t)0x7dda, (q15_t)0x7dd9, (q15_t)0x7dd8, (q15_t)0x7dd6,
+ (q15_t)0x7dd5, (q15_t)0x7dd4, (q15_t)0x7dd3, (q15_t)0x7dd2, (q15_t)0x7dd1, (q15_t)0x7dd0, (q15_t)0x7dce, (q15_t)0x7dcd,
+ (q15_t)0x7dcc, (q15_t)0x7dcb, (q15_t)0x7dca, (q15_t)0x7dc9, (q15_t)0x7dc7, (q15_t)0x7dc6, (q15_t)0x7dc5, (q15_t)0x7dc4,
+ (q15_t)0x7dc3, (q15_t)0x7dc2, (q15_t)0x7dc0, (q15_t)0x7dbf, (q15_t)0x7dbe, (q15_t)0x7dbd, (q15_t)0x7dbc, (q15_t)0x7dbb,
+ (q15_t)0x7db9, (q15_t)0x7db8, (q15_t)0x7db7, (q15_t)0x7db6, (q15_t)0x7db5, (q15_t)0x7db3, (q15_t)0x7db2, (q15_t)0x7db1,
+ (q15_t)0x7db0, (q15_t)0x7daf, (q15_t)0x7dae, (q15_t)0x7dac, (q15_t)0x7dab, (q15_t)0x7daa, (q15_t)0x7da9, (q15_t)0x7da8,
+ (q15_t)0x7da6, (q15_t)0x7da5, (q15_t)0x7da4, (q15_t)0x7da3, (q15_t)0x7da2, (q15_t)0x7da0, (q15_t)0x7d9f, (q15_t)0x7d9e,
+ (q15_t)0x7d9d, (q15_t)0x7d9c, (q15_t)0x7d9a, (q15_t)0x7d99, (q15_t)0x7d98, (q15_t)0x7d97, (q15_t)0x7d95, (q15_t)0x7d94,
+ (q15_t)0x7d93, (q15_t)0x7d92, (q15_t)0x7d91, (q15_t)0x7d8f, (q15_t)0x7d8e, (q15_t)0x7d8d, (q15_t)0x7d8c, (q15_t)0x7d8a,
+ (q15_t)0x7d89, (q15_t)0x7d88, (q15_t)0x7d87, (q15_t)0x7d86, (q15_t)0x7d84, (q15_t)0x7d83, (q15_t)0x7d82, (q15_t)0x7d81,
+ (q15_t)0x7d7f, (q15_t)0x7d7e, (q15_t)0x7d7d, (q15_t)0x7d7c, (q15_t)0x7d7a, (q15_t)0x7d79, (q15_t)0x7d78, (q15_t)0x7d77,
+ (q15_t)0x7d75, (q15_t)0x7d74, (q15_t)0x7d73, (q15_t)0x7d72, (q15_t)0x7d70, (q15_t)0x7d6f, (q15_t)0x7d6e, (q15_t)0x7d6d,
+ (q15_t)0x7d6b, (q15_t)0x7d6a, (q15_t)0x7d69, (q15_t)0x7d68, (q15_t)0x7d66, (q15_t)0x7d65, (q15_t)0x7d64, (q15_t)0x7d63,
+ (q15_t)0x7d61, (q15_t)0x7d60, (q15_t)0x7d5f, (q15_t)0x7d5e, (q15_t)0x7d5c, (q15_t)0x7d5b, (q15_t)0x7d5a, (q15_t)0x7d59,
+ (q15_t)0x7d57, (q15_t)0x7d56, (q15_t)0x7d55, (q15_t)0x7d53, (q15_t)0x7d52, (q15_t)0x7d51, (q15_t)0x7d50, (q15_t)0x7d4e,
+ (q15_t)0x7d4d, (q15_t)0x7d4c, (q15_t)0x7d4a, (q15_t)0x7d49, (q15_t)0x7d48, (q15_t)0x7d47, (q15_t)0x7d45, (q15_t)0x7d44,
+ (q15_t)0x7d43, (q15_t)0x7d41, (q15_t)0x7d40, (q15_t)0x7d3f, (q15_t)0x7d3e, (q15_t)0x7d3c, (q15_t)0x7d3b, (q15_t)0x7d3a,
+ (q15_t)0x7d38, (q15_t)0x7d37, (q15_t)0x7d36, (q15_t)0x7d34, (q15_t)0x7d33, (q15_t)0x7d32, (q15_t)0x7d31, (q15_t)0x7d2f,
+ (q15_t)0x7d2e, (q15_t)0x7d2d, (q15_t)0x7d2b, (q15_t)0x7d2a, (q15_t)0x7d29, (q15_t)0x7d27, (q15_t)0x7d26, (q15_t)0x7d25,
+ (q15_t)0x7d23, (q15_t)0x7d22, (q15_t)0x7d21, (q15_t)0x7d1f, (q15_t)0x7d1e, (q15_t)0x7d1d, (q15_t)0x7d1b, (q15_t)0x7d1a,
+ (q15_t)0x7d19, (q15_t)0x7d17, (q15_t)0x7d16, (q15_t)0x7d15, (q15_t)0x7d13, (q15_t)0x7d12, (q15_t)0x7d11, (q15_t)0x7d0f,
+ (q15_t)0x7d0e, (q15_t)0x7d0d, (q15_t)0x7d0b, (q15_t)0x7d0a, (q15_t)0x7d09, (q15_t)0x7d07, (q15_t)0x7d06, (q15_t)0x7d05,
+ (q15_t)0x7d03, (q15_t)0x7d02, (q15_t)0x7d01, (q15_t)0x7cff, (q15_t)0x7cfe, (q15_t)0x7cfd, (q15_t)0x7cfb, (q15_t)0x7cfa,
+ (q15_t)0x7cf9, (q15_t)0x7cf7, (q15_t)0x7cf6, (q15_t)0x7cf4, (q15_t)0x7cf3, (q15_t)0x7cf2, (q15_t)0x7cf0, (q15_t)0x7cef,
+ (q15_t)0x7cee, (q15_t)0x7cec, (q15_t)0x7ceb, (q15_t)0x7ce9, (q15_t)0x7ce8, (q15_t)0x7ce7, (q15_t)0x7ce5, (q15_t)0x7ce4,
+ (q15_t)0x7ce3, (q15_t)0x7ce1, (q15_t)0x7ce0, (q15_t)0x7cde, (q15_t)0x7cdd, (q15_t)0x7cdc, (q15_t)0x7cda, (q15_t)0x7cd9,
+ (q15_t)0x7cd8, (q15_t)0x7cd6, (q15_t)0x7cd5, (q15_t)0x7cd3, (q15_t)0x7cd2, (q15_t)0x7cd1, (q15_t)0x7ccf, (q15_t)0x7cce,
+ (q15_t)0x7ccc, (q15_t)0x7ccb, (q15_t)0x7cca, (q15_t)0x7cc8, (q15_t)0x7cc7, (q15_t)0x7cc5, (q15_t)0x7cc4, (q15_t)0x7cc3,
+ (q15_t)0x7cc1, (q15_t)0x7cc0, (q15_t)0x7cbe, (q15_t)0x7cbd, (q15_t)0x7cbc, (q15_t)0x7cba, (q15_t)0x7cb9, (q15_t)0x7cb7,
+ (q15_t)0x7cb6, (q15_t)0x7cb5, (q15_t)0x7cb3, (q15_t)0x7cb2, (q15_t)0x7cb0, (q15_t)0x7caf, (q15_t)0x7cad, (q15_t)0x7cac,
+ (q15_t)0x7cab, (q15_t)0x7ca9, (q15_t)0x7ca8, (q15_t)0x7ca6, (q15_t)0x7ca5, (q15_t)0x7ca3, (q15_t)0x7ca2, (q15_t)0x7ca1,
+ (q15_t)0x7c9f, (q15_t)0x7c9e, (q15_t)0x7c9c, (q15_t)0x7c9b, (q15_t)0x7c99, (q15_t)0x7c98, (q15_t)0x7c97, (q15_t)0x7c95,
+ (q15_t)0x7c94, (q15_t)0x7c92, (q15_t)0x7c91, (q15_t)0x7c8f, (q15_t)0x7c8e, (q15_t)0x7c8c, (q15_t)0x7c8b, (q15_t)0x7c8a,
+ (q15_t)0x7c88, (q15_t)0x7c87, (q15_t)0x7c85, (q15_t)0x7c84, (q15_t)0x7c82, (q15_t)0x7c81, (q15_t)0x7c7f, (q15_t)0x7c7e,
+ (q15_t)0x7c7c, (q15_t)0x7c7b, (q15_t)0x7c79, (q15_t)0x7c78, (q15_t)0x7c77, (q15_t)0x7c75, (q15_t)0x7c74, (q15_t)0x7c72,
+ (q15_t)0x7c71, (q15_t)0x7c6f, (q15_t)0x7c6e, (q15_t)0x7c6c, (q15_t)0x7c6b, (q15_t)0x7c69, (q15_t)0x7c68, (q15_t)0x7c66,
+ (q15_t)0x7c65, (q15_t)0x7c63, (q15_t)0x7c62, (q15_t)0x7c60, (q15_t)0x7c5f, (q15_t)0x7c5d, (q15_t)0x7c5c, (q15_t)0x7c5a,
+ (q15_t)0x7c59, (q15_t)0x7c58, (q15_t)0x7c56, (q15_t)0x7c55, (q15_t)0x7c53, (q15_t)0x7c52, (q15_t)0x7c50, (q15_t)0x7c4f,
+ (q15_t)0x7c4d, (q15_t)0x7c4c, (q15_t)0x7c4a, (q15_t)0x7c49, (q15_t)0x7c47, (q15_t)0x7c46, (q15_t)0x7c44, (q15_t)0x7c43,
+ (q15_t)0x7c41, (q15_t)0x7c3f, (q15_t)0x7c3e, (q15_t)0x7c3c, (q15_t)0x7c3b, (q15_t)0x7c39, (q15_t)0x7c38, (q15_t)0x7c36,
+ (q15_t)0x7c35, (q15_t)0x7c33, (q15_t)0x7c32, (q15_t)0x7c30, (q15_t)0x7c2f, (q15_t)0x7c2d, (q15_t)0x7c2c, (q15_t)0x7c2a,
+ (q15_t)0x7c29, (q15_t)0x7c27, (q15_t)0x7c26, (q15_t)0x7c24, (q15_t)0x7c23, (q15_t)0x7c21, (q15_t)0x7c20, (q15_t)0x7c1e,
+ (q15_t)0x7c1c, (q15_t)0x7c1b, (q15_t)0x7c19, (q15_t)0x7c18, (q15_t)0x7c16, (q15_t)0x7c15, (q15_t)0x7c13, (q15_t)0x7c12,
+ (q15_t)0x7c10, (q15_t)0x7c0f, (q15_t)0x7c0d, (q15_t)0x7c0b, (q15_t)0x7c0a, (q15_t)0x7c08, (q15_t)0x7c07, (q15_t)0x7c05,
+ (q15_t)0x7c04, (q15_t)0x7c02, (q15_t)0x7c01, (q15_t)0x7bff, (q15_t)0x7bfd, (q15_t)0x7bfc, (q15_t)0x7bfa, (q15_t)0x7bf9,
+ (q15_t)0x7bf7, (q15_t)0x7bf6, (q15_t)0x7bf4, (q15_t)0x7bf3, (q15_t)0x7bf1, (q15_t)0x7bef, (q15_t)0x7bee, (q15_t)0x7bec,
+ (q15_t)0x7beb, (q15_t)0x7be9, (q15_t)0x7be8, (q15_t)0x7be6, (q15_t)0x7be4, (q15_t)0x7be3, (q15_t)0x7be1, (q15_t)0x7be0,
+ (q15_t)0x7bde, (q15_t)0x7bdc, (q15_t)0x7bdb, (q15_t)0x7bd9, (q15_t)0x7bd8, (q15_t)0x7bd6, (q15_t)0x7bd5, (q15_t)0x7bd3,
+ (q15_t)0x7bd1, (q15_t)0x7bd0, (q15_t)0x7bce, (q15_t)0x7bcd, (q15_t)0x7bcb, (q15_t)0x7bc9, (q15_t)0x7bc8, (q15_t)0x7bc6,
+ (q15_t)0x7bc5, (q15_t)0x7bc3, (q15_t)0x7bc1, (q15_t)0x7bc0, (q15_t)0x7bbe, (q15_t)0x7bbd, (q15_t)0x7bbb, (q15_t)0x7bb9,
+ (q15_t)0x7bb8, (q15_t)0x7bb6, (q15_t)0x7bb5, (q15_t)0x7bb3, (q15_t)0x7bb1, (q15_t)0x7bb0, (q15_t)0x7bae, (q15_t)0x7bac,
+ (q15_t)0x7bab, (q15_t)0x7ba9, (q15_t)0x7ba8, (q15_t)0x7ba6, (q15_t)0x7ba4, (q15_t)0x7ba3, (q15_t)0x7ba1, (q15_t)0x7b9f,
+ (q15_t)0x7b9e, (q15_t)0x7b9c, (q15_t)0x7b9b, (q15_t)0x7b99, (q15_t)0x7b97, (q15_t)0x7b96, (q15_t)0x7b94, (q15_t)0x7b92,
+ (q15_t)0x7b91, (q15_t)0x7b8f, (q15_t)0x7b8d, (q15_t)0x7b8c, (q15_t)0x7b8a, (q15_t)0x7b89, (q15_t)0x7b87, (q15_t)0x7b85,
+ (q15_t)0x7b84, (q15_t)0x7b82, (q15_t)0x7b80, (q15_t)0x7b7f, (q15_t)0x7b7d, (q15_t)0x7b7b, (q15_t)0x7b7a, (q15_t)0x7b78,
+ (q15_t)0x7b76, (q15_t)0x7b75, (q15_t)0x7b73, (q15_t)0x7b71, (q15_t)0x7b70, (q15_t)0x7b6e, (q15_t)0x7b6c, (q15_t)0x7b6b,
+ (q15_t)0x7b69, (q15_t)0x7b67, (q15_t)0x7b66, (q15_t)0x7b64, (q15_t)0x7b62, (q15_t)0x7b61, (q15_t)0x7b5f, (q15_t)0x7b5d,
+ (q15_t)0x7b5c, (q15_t)0x7b5a, (q15_t)0x7b58, (q15_t)0x7b57, (q15_t)0x7b55, (q15_t)0x7b53, (q15_t)0x7b52, (q15_t)0x7b50,
+ (q15_t)0x7b4e, (q15_t)0x7b4d, (q15_t)0x7b4b, (q15_t)0x7b49, (q15_t)0x7b47, (q15_t)0x7b46, (q15_t)0x7b44, (q15_t)0x7b42,
+ (q15_t)0x7b41, (q15_t)0x7b3f, (q15_t)0x7b3d, (q15_t)0x7b3c, (q15_t)0x7b3a, (q15_t)0x7b38, (q15_t)0x7b37, (q15_t)0x7b35,
+ (q15_t)0x7b33, (q15_t)0x7b31, (q15_t)0x7b30, (q15_t)0x7b2e, (q15_t)0x7b2c, (q15_t)0x7b2b, (q15_t)0x7b29, (q15_t)0x7b27,
+ (q15_t)0x7b25, (q15_t)0x7b24, (q15_t)0x7b22, (q15_t)0x7b20, (q15_t)0x7b1f, (q15_t)0x7b1d, (q15_t)0x7b1b, (q15_t)0x7b19,
+ (q15_t)0x7b18, (q15_t)0x7b16, (q15_t)0x7b14, (q15_t)0x7b13, (q15_t)0x7b11, (q15_t)0x7b0f, (q15_t)0x7b0d, (q15_t)0x7b0c,
+ (q15_t)0x7b0a, (q15_t)0x7b08, (q15_t)0x7b06, (q15_t)0x7b05, (q15_t)0x7b03, (q15_t)0x7b01, (q15_t)0x7aff, (q15_t)0x7afe,
+ (q15_t)0x7afc, (q15_t)0x7afa, (q15_t)0x7af8, (q15_t)0x7af7, (q15_t)0x7af5, (q15_t)0x7af3, (q15_t)0x7af2, (q15_t)0x7af0,
+ (q15_t)0x7aee, (q15_t)0x7aec, (q15_t)0x7aeb, (q15_t)0x7ae9, (q15_t)0x7ae7, (q15_t)0x7ae5, (q15_t)0x7ae3, (q15_t)0x7ae2,
+ (q15_t)0x7ae0, (q15_t)0x7ade, (q15_t)0x7adc, (q15_t)0x7adb, (q15_t)0x7ad9, (q15_t)0x7ad7, (q15_t)0x7ad5, (q15_t)0x7ad4,
+ (q15_t)0x7ad2, (q15_t)0x7ad0, (q15_t)0x7ace, (q15_t)0x7acd, (q15_t)0x7acb, (q15_t)0x7ac9, (q15_t)0x7ac7, (q15_t)0x7ac5,
+ (q15_t)0x7ac4, (q15_t)0x7ac2, (q15_t)0x7ac0, (q15_t)0x7abe, (q15_t)0x7abd, (q15_t)0x7abb, (q15_t)0x7ab9, (q15_t)0x7ab7,
+ (q15_t)0x7ab5, (q15_t)0x7ab4, (q15_t)0x7ab2, (q15_t)0x7ab0, (q15_t)0x7aae, (q15_t)0x7aac, (q15_t)0x7aab, (q15_t)0x7aa9,
+ (q15_t)0x7aa7, (q15_t)0x7aa5, (q15_t)0x7aa3, (q15_t)0x7aa2, (q15_t)0x7aa0, (q15_t)0x7a9e, (q15_t)0x7a9c, (q15_t)0x7a9a,
+ (q15_t)0x7a99, (q15_t)0x7a97, (q15_t)0x7a95, (q15_t)0x7a93, (q15_t)0x7a91, (q15_t)0x7a90, (q15_t)0x7a8e, (q15_t)0x7a8c,
+ (q15_t)0x7a8a, (q15_t)0x7a88, (q15_t)0x7a87, (q15_t)0x7a85, (q15_t)0x7a83, (q15_t)0x7a81, (q15_t)0x7a7f, (q15_t)0x7a7d,
+ (q15_t)0x7a7c, (q15_t)0x7a7a, (q15_t)0x7a78, (q15_t)0x7a76, (q15_t)0x7a74, (q15_t)0x7a72, (q15_t)0x7a71, (q15_t)0x7a6f,
+ (q15_t)0x7a6d, (q15_t)0x7a6b, (q15_t)0x7a69, (q15_t)0x7a67, (q15_t)0x7a66, (q15_t)0x7a64, (q15_t)0x7a62, (q15_t)0x7a60,
+ (q15_t)0x7a5e, (q15_t)0x7a5c, (q15_t)0x7a5b, (q15_t)0x7a59, (q15_t)0x7a57, (q15_t)0x7a55, (q15_t)0x7a53, (q15_t)0x7a51,
+ (q15_t)0x7a4f, (q15_t)0x7a4e, (q15_t)0x7a4c, (q15_t)0x7a4a, (q15_t)0x7a48, (q15_t)0x7a46, (q15_t)0x7a44, (q15_t)0x7a42,
+ (q15_t)0x7a41, (q15_t)0x7a3f, (q15_t)0x7a3d, (q15_t)0x7a3b, (q15_t)0x7a39, (q15_t)0x7a37, (q15_t)0x7a35, (q15_t)0x7a34,
+ (q15_t)0x7a32, (q15_t)0x7a30, (q15_t)0x7a2e, (q15_t)0x7a2c, (q15_t)0x7a2a, (q15_t)0x7a28, (q15_t)0x7a26, (q15_t)0x7a25,
+ (q15_t)0x7a23, (q15_t)0x7a21, (q15_t)0x7a1f, (q15_t)0x7a1d, (q15_t)0x7a1b, (q15_t)0x7a19, (q15_t)0x7a17, (q15_t)0x7a16,
+ (q15_t)0x7a14, (q15_t)0x7a12, (q15_t)0x7a10, (q15_t)0x7a0e, (q15_t)0x7a0c, (q15_t)0x7a0a, (q15_t)0x7a08, (q15_t)0x7a06,
+ (q15_t)0x7a04, (q15_t)0x7a03, (q15_t)0x7a01, (q15_t)0x79ff, (q15_t)0x79fd, (q15_t)0x79fb, (q15_t)0x79f9, (q15_t)0x79f7,
+ (q15_t)0x79f5, (q15_t)0x79f3, (q15_t)0x79f1, (q15_t)0x79f0, (q15_t)0x79ee, (q15_t)0x79ec, (q15_t)0x79ea, (q15_t)0x79e8,
+ (q15_t)0x79e6, (q15_t)0x79e4, (q15_t)0x79e2, (q15_t)0x79e0, (q15_t)0x79de, (q15_t)0x79dc, (q15_t)0x79da, (q15_t)0x79d9,
+ (q15_t)0x79d7, (q15_t)0x79d5, (q15_t)0x79d3, (q15_t)0x79d1, (q15_t)0x79cf, (q15_t)0x79cd, (q15_t)0x79cb, (q15_t)0x79c9,
+ (q15_t)0x79c7, (q15_t)0x79c5, (q15_t)0x79c3, (q15_t)0x79c1, (q15_t)0x79bf, (q15_t)0x79bd, (q15_t)0x79bc, (q15_t)0x79ba,
+ (q15_t)0x79b8, (q15_t)0x79b6, (q15_t)0x79b4, (q15_t)0x79b2, (q15_t)0x79b0, (q15_t)0x79ae, (q15_t)0x79ac, (q15_t)0x79aa,
+ (q15_t)0x79a8, (q15_t)0x79a6, (q15_t)0x79a4, (q15_t)0x79a2, (q15_t)0x79a0, (q15_t)0x799e, (q15_t)0x799c, (q15_t)0x799a,
+ (q15_t)0x7998, (q15_t)0x7996, (q15_t)0x7994, (q15_t)0x7992, (q15_t)0x7991, (q15_t)0x798f, (q15_t)0x798d, (q15_t)0x798b,
+ (q15_t)0x7989, (q15_t)0x7987, (q15_t)0x7985, (q15_t)0x7983, (q15_t)0x7981, (q15_t)0x797f, (q15_t)0x797d, (q15_t)0x797b,
+ (q15_t)0x7979, (q15_t)0x7977, (q15_t)0x7975, (q15_t)0x7973, (q15_t)0x7971, (q15_t)0x796f, (q15_t)0x796d, (q15_t)0x796b,
+ (q15_t)0x7969, (q15_t)0x7967, (q15_t)0x7965, (q15_t)0x7963, (q15_t)0x7961, (q15_t)0x795f, (q15_t)0x795d, (q15_t)0x795b,
+ (q15_t)0x7959, (q15_t)0x7957, (q15_t)0x7955, (q15_t)0x7953, (q15_t)0x7951, (q15_t)0x794f, (q15_t)0x794d, (q15_t)0x794b,
+ (q15_t)0x7949, (q15_t)0x7947, (q15_t)0x7945, (q15_t)0x7943, (q15_t)0x7941, (q15_t)0x793f, (q15_t)0x793d, (q15_t)0x793b,
+ (q15_t)0x7939, (q15_t)0x7937, (q15_t)0x7935, (q15_t)0x7933, (q15_t)0x7931, (q15_t)0x792f, (q15_t)0x792d, (q15_t)0x792b,
+ (q15_t)0x7929, (q15_t)0x7927, (q15_t)0x7925, (q15_t)0x7923, (q15_t)0x7921, (q15_t)0x791f, (q15_t)0x791d, (q15_t)0x791a,
+ (q15_t)0x7918, (q15_t)0x7916, (q15_t)0x7914, (q15_t)0x7912, (q15_t)0x7910, (q15_t)0x790e, (q15_t)0x790c, (q15_t)0x790a,
+ (q15_t)0x7908, (q15_t)0x7906, (q15_t)0x7904, (q15_t)0x7902, (q15_t)0x7900, (q15_t)0x78fe, (q15_t)0x78fc, (q15_t)0x78fa,
+ (q15_t)0x78f8, (q15_t)0x78f6, (q15_t)0x78f4, (q15_t)0x78f2, (q15_t)0x78f0, (q15_t)0x78ed, (q15_t)0x78eb, (q15_t)0x78e9,
+ (q15_t)0x78e7, (q15_t)0x78e5, (q15_t)0x78e3, (q15_t)0x78e1, (q15_t)0x78df, (q15_t)0x78dd, (q15_t)0x78db, (q15_t)0x78d9,
+ (q15_t)0x78d7, (q15_t)0x78d5, (q15_t)0x78d3, (q15_t)0x78d1, (q15_t)0x78ce, (q15_t)0x78cc, (q15_t)0x78ca, (q15_t)0x78c8,
+ (q15_t)0x78c6, (q15_t)0x78c4, (q15_t)0x78c2, (q15_t)0x78c0, (q15_t)0x78be, (q15_t)0x78bc, (q15_t)0x78ba, (q15_t)0x78b8,
+ (q15_t)0x78b5, (q15_t)0x78b3, (q15_t)0x78b1, (q15_t)0x78af, (q15_t)0x78ad, (q15_t)0x78ab, (q15_t)0x78a9, (q15_t)0x78a7,
+ (q15_t)0x78a5, (q15_t)0x78a3, (q15_t)0x78a0, (q15_t)0x789e, (q15_t)0x789c, (q15_t)0x789a, (q15_t)0x7898, (q15_t)0x7896,
+ (q15_t)0x7894, (q15_t)0x7892, (q15_t)0x7890, (q15_t)0x788e, (q15_t)0x788b, (q15_t)0x7889, (q15_t)0x7887, (q15_t)0x7885,
+ (q15_t)0x7883, (q15_t)0x7881, (q15_t)0x787f, (q15_t)0x787d, (q15_t)0x787a, (q15_t)0x7878, (q15_t)0x7876, (q15_t)0x7874,
+ (q15_t)0x7872, (q15_t)0x7870, (q15_t)0x786e, (q15_t)0x786c, (q15_t)0x7869, (q15_t)0x7867, (q15_t)0x7865, (q15_t)0x7863,
+ (q15_t)0x7861, (q15_t)0x785f, (q15_t)0x785d, (q15_t)0x785b, (q15_t)0x7858, (q15_t)0x7856, (q15_t)0x7854, (q15_t)0x7852,
+ (q15_t)0x7850, (q15_t)0x784e, (q15_t)0x784c, (q15_t)0x7849, (q15_t)0x7847, (q15_t)0x7845, (q15_t)0x7843, (q15_t)0x7841,
+ (q15_t)0x783f, (q15_t)0x783c, (q15_t)0x783a, (q15_t)0x7838, (q15_t)0x7836, (q15_t)0x7834, (q15_t)0x7832, (q15_t)0x7830,
+ (q15_t)0x782d, (q15_t)0x782b, (q15_t)0x7829, (q15_t)0x7827, (q15_t)0x7825, (q15_t)0x7823, (q15_t)0x7820, (q15_t)0x781e,
+ (q15_t)0x781c, (q15_t)0x781a, (q15_t)0x7818, (q15_t)0x7816, (q15_t)0x7813, (q15_t)0x7811, (q15_t)0x780f, (q15_t)0x780d,
+ (q15_t)0x780b, (q15_t)0x7808, (q15_t)0x7806, (q15_t)0x7804, (q15_t)0x7802, (q15_t)0x7800, (q15_t)0x77fe, (q15_t)0x77fb,
+ (q15_t)0x77f9, (q15_t)0x77f7, (q15_t)0x77f5, (q15_t)0x77f3, (q15_t)0x77f0, (q15_t)0x77ee, (q15_t)0x77ec, (q15_t)0x77ea,
+ (q15_t)0x77e8, (q15_t)0x77e5, (q15_t)0x77e3, (q15_t)0x77e1, (q15_t)0x77df, (q15_t)0x77dd, (q15_t)0x77da, (q15_t)0x77d8,
+ (q15_t)0x77d6, (q15_t)0x77d4, (q15_t)0x77d2, (q15_t)0x77cf, (q15_t)0x77cd, (q15_t)0x77cb, (q15_t)0x77c9, (q15_t)0x77c6,
+ (q15_t)0x77c4, (q15_t)0x77c2, (q15_t)0x77c0, (q15_t)0x77be, (q15_t)0x77bb, (q15_t)0x77b9, (q15_t)0x77b7, (q15_t)0x77b5,
+ (q15_t)0x77b2, (q15_t)0x77b0, (q15_t)0x77ae, (q15_t)0x77ac, (q15_t)0x77aa, (q15_t)0x77a7, (q15_t)0x77a5, (q15_t)0x77a3,
+ (q15_t)0x77a1, (q15_t)0x779e, (q15_t)0x779c, (q15_t)0x779a, (q15_t)0x7798, (q15_t)0x7795, (q15_t)0x7793, (q15_t)0x7791,
+ (q15_t)0x778f, (q15_t)0x778c, (q15_t)0x778a, (q15_t)0x7788, (q15_t)0x7786, (q15_t)0x7783, (q15_t)0x7781, (q15_t)0x777f,
+ (q15_t)0x777d, (q15_t)0x777a, (q15_t)0x7778, (q15_t)0x7776, (q15_t)0x7774, (q15_t)0x7771, (q15_t)0x776f, (q15_t)0x776d,
+ (q15_t)0x776b, (q15_t)0x7768, (q15_t)0x7766, (q15_t)0x7764, (q15_t)0x7762, (q15_t)0x775f, (q15_t)0x775d, (q15_t)0x775b,
+ (q15_t)0x7759, (q15_t)0x7756, (q15_t)0x7754, (q15_t)0x7752, (q15_t)0x774f, (q15_t)0x774d, (q15_t)0x774b, (q15_t)0x7749,
+ (q15_t)0x7746, (q15_t)0x7744, (q15_t)0x7742, (q15_t)0x773f, (q15_t)0x773d, (q15_t)0x773b, (q15_t)0x7739, (q15_t)0x7736,
+ (q15_t)0x7734, (q15_t)0x7732, (q15_t)0x772f, (q15_t)0x772d, (q15_t)0x772b, (q15_t)0x7729, (q15_t)0x7726, (q15_t)0x7724,
+ (q15_t)0x7722, (q15_t)0x771f, (q15_t)0x771d, (q15_t)0x771b, (q15_t)0x7719, (q15_t)0x7716, (q15_t)0x7714, (q15_t)0x7712,
+ (q15_t)0x770f, (q15_t)0x770d, (q15_t)0x770b, (q15_t)0x7708, (q15_t)0x7706, (q15_t)0x7704, (q15_t)0x7701, (q15_t)0x76ff,
+ (q15_t)0x76fd, (q15_t)0x76fa, (q15_t)0x76f8, (q15_t)0x76f6, (q15_t)0x76f4, (q15_t)0x76f1, (q15_t)0x76ef, (q15_t)0x76ed,
+ (q15_t)0x76ea, (q15_t)0x76e8, (q15_t)0x76e6, (q15_t)0x76e3, (q15_t)0x76e1, (q15_t)0x76df, (q15_t)0x76dc, (q15_t)0x76da,
+ (q15_t)0x76d8, (q15_t)0x76d5, (q15_t)0x76d3, (q15_t)0x76d1, (q15_t)0x76ce, (q15_t)0x76cc, (q15_t)0x76ca, (q15_t)0x76c7,
+ (q15_t)0x76c5, (q15_t)0x76c3, (q15_t)0x76c0, (q15_t)0x76be, (q15_t)0x76bc, (q15_t)0x76b9, (q15_t)0x76b7, (q15_t)0x76b4,
+ (q15_t)0x76b2, (q15_t)0x76b0, (q15_t)0x76ad, (q15_t)0x76ab, (q15_t)0x76a9, (q15_t)0x76a6, (q15_t)0x76a4, (q15_t)0x76a2,
+ (q15_t)0x769f, (q15_t)0x769d, (q15_t)0x769b, (q15_t)0x7698, (q15_t)0x7696, (q15_t)0x7693, (q15_t)0x7691, (q15_t)0x768f,
+ (q15_t)0x768c, (q15_t)0x768a, (q15_t)0x7688, (q15_t)0x7685, (q15_t)0x7683, (q15_t)0x7681, (q15_t)0x767e, (q15_t)0x767c,
+ (q15_t)0x7679, (q15_t)0x7677, (q15_t)0x7675, (q15_t)0x7672, (q15_t)0x7670, (q15_t)0x766d, (q15_t)0x766b, (q15_t)0x7669,
+ (q15_t)0x7666, (q15_t)0x7664, (q15_t)0x7662, (q15_t)0x765f, (q15_t)0x765d, (q15_t)0x765a, (q15_t)0x7658, (q15_t)0x7656,
+ (q15_t)0x7653, (q15_t)0x7651, (q15_t)0x764e, (q15_t)0x764c, (q15_t)0x764a, (q15_t)0x7647, (q15_t)0x7645, (q15_t)0x7642,
+ (q15_t)0x7640, (q15_t)0x763e, (q15_t)0x763b, (q15_t)0x7639, (q15_t)0x7636, (q15_t)0x7634, (q15_t)0x7632, (q15_t)0x762f,
+ (q15_t)0x762d, (q15_t)0x762a, (q15_t)0x7628, (q15_t)0x7625, (q15_t)0x7623, (q15_t)0x7621, (q15_t)0x761e, (q15_t)0x761c,
+ (q15_t)0x7619, (q15_t)0x7617, (q15_t)0x7615, (q15_t)0x7612, (q15_t)0x7610, (q15_t)0x760d, (q15_t)0x760b, (q15_t)0x7608,
+ (q15_t)0x7606, (q15_t)0x7604, (q15_t)0x7601, (q15_t)0x75ff, (q15_t)0x75fc, (q15_t)0x75fa, (q15_t)0x75f7, (q15_t)0x75f5,
+ (q15_t)0x75f2, (q15_t)0x75f0, (q15_t)0x75ee, (q15_t)0x75eb, (q15_t)0x75e9, (q15_t)0x75e6, (q15_t)0x75e4, (q15_t)0x75e1,
+ (q15_t)0x75df, (q15_t)0x75dc, (q15_t)0x75da, (q15_t)0x75d8, (q15_t)0x75d5, (q15_t)0x75d3, (q15_t)0x75d0, (q15_t)0x75ce,
+ (q15_t)0x75cb, (q15_t)0x75c9, (q15_t)0x75c6, (q15_t)0x75c4, (q15_t)0x75c1, (q15_t)0x75bf, (q15_t)0x75bc, (q15_t)0x75ba,
+ (q15_t)0x75b8, (q15_t)0x75b5, (q15_t)0x75b3, (q15_t)0x75b0, (q15_t)0x75ae, (q15_t)0x75ab, (q15_t)0x75a9, (q15_t)0x75a6,
+ (q15_t)0x75a4, (q15_t)0x75a1, (q15_t)0x759f, (q15_t)0x759c, (q15_t)0x759a, (q15_t)0x7597, (q15_t)0x7595, (q15_t)0x7592,
+ (q15_t)0x7590, (q15_t)0x758d, (q15_t)0x758b, (q15_t)0x7588, (q15_t)0x7586, (q15_t)0x7584, (q15_t)0x7581, (q15_t)0x757f,
+ (q15_t)0x757c, (q15_t)0x757a, (q15_t)0x7577, (q15_t)0x7575, (q15_t)0x7572, (q15_t)0x7570, (q15_t)0x756d, (q15_t)0x756b,
+ (q15_t)0x7568, (q15_t)0x7566, (q15_t)0x7563, (q15_t)0x7561, (q15_t)0x755e, (q15_t)0x755c, (q15_t)0x7559, (q15_t)0x7556,
+ (q15_t)0x7554, (q15_t)0x7551, (q15_t)0x754f, (q15_t)0x754c, (q15_t)0x754a, (q15_t)0x7547, (q15_t)0x7545, (q15_t)0x7542,
+ (q15_t)0x7540, (q15_t)0x753d, (q15_t)0x753b, (q15_t)0x7538, (q15_t)0x7536, (q15_t)0x7533, (q15_t)0x7531, (q15_t)0x752e,
+ (q15_t)0x752c, (q15_t)0x7529, (q15_t)0x7527, (q15_t)0x7524, (q15_t)0x7522, (q15_t)0x751f, (q15_t)0x751c, (q15_t)0x751a,
+ (q15_t)0x7517, (q15_t)0x7515, (q15_t)0x7512, (q15_t)0x7510, (q15_t)0x750d, (q15_t)0x750b, (q15_t)0x7508, (q15_t)0x7506,
+ (q15_t)0x7503, (q15_t)0x7501, (q15_t)0x74fe, (q15_t)0x74fb, (q15_t)0x74f9, (q15_t)0x74f6, (q15_t)0x74f4, (q15_t)0x74f1,
+ (q15_t)0x74ef, (q15_t)0x74ec, (q15_t)0x74ea, (q15_t)0x74e7, (q15_t)0x74e4, (q15_t)0x74e2, (q15_t)0x74df, (q15_t)0x74dd,
+ (q15_t)0x74da, (q15_t)0x74d8, (q15_t)0x74d5, (q15_t)0x74d2, (q15_t)0x74d0, (q15_t)0x74cd, (q15_t)0x74cb, (q15_t)0x74c8,
+ (q15_t)0x74c6, (q15_t)0x74c3, (q15_t)0x74c0, (q15_t)0x74be, (q15_t)0x74bb, (q15_t)0x74b9, (q15_t)0x74b6, (q15_t)0x74b4,
+ (q15_t)0x74b1, (q15_t)0x74ae, (q15_t)0x74ac, (q15_t)0x74a9, (q15_t)0x74a7, (q15_t)0x74a4, (q15_t)0x74a1, (q15_t)0x749f,
+ (q15_t)0x749c, (q15_t)0x749a, (q15_t)0x7497, (q15_t)0x7495, (q15_t)0x7492, (q15_t)0x748f, (q15_t)0x748d, (q15_t)0x748a,
+ (q15_t)0x7488, (q15_t)0x7485, (q15_t)0x7482, (q15_t)0x7480, (q15_t)0x747d, (q15_t)0x747b, (q15_t)0x7478, (q15_t)0x7475,
+ (q15_t)0x7473, (q15_t)0x7470, (q15_t)0x746d, (q15_t)0x746b, (q15_t)0x7468, (q15_t)0x7466, (q15_t)0x7463, (q15_t)0x7460,
+ (q15_t)0x745e, (q15_t)0x745b, (q15_t)0x7459, (q15_t)0x7456, (q15_t)0x7453, (q15_t)0x7451, (q15_t)0x744e, (q15_t)0x744b,
+ (q15_t)0x7449, (q15_t)0x7446, (q15_t)0x7444, (q15_t)0x7441, (q15_t)0x743e, (q15_t)0x743c, (q15_t)0x7439, (q15_t)0x7436,
+ (q15_t)0x7434, (q15_t)0x7431, (q15_t)0x742f, (q15_t)0x742c, (q15_t)0x7429, (q15_t)0x7427, (q15_t)0x7424, (q15_t)0x7421,
+ (q15_t)0x741f, (q15_t)0x741c, (q15_t)0x7419, (q15_t)0x7417, (q15_t)0x7414, (q15_t)0x7411, (q15_t)0x740f, (q15_t)0x740c,
+ (q15_t)0x740a, (q15_t)0x7407, (q15_t)0x7404, (q15_t)0x7402, (q15_t)0x73ff, (q15_t)0x73fc, (q15_t)0x73fa, (q15_t)0x73f7,
+ (q15_t)0x73f4, (q15_t)0x73f2, (q15_t)0x73ef, (q15_t)0x73ec, (q15_t)0x73ea, (q15_t)0x73e7, (q15_t)0x73e4, (q15_t)0x73e2,
+ (q15_t)0x73df, (q15_t)0x73dc, (q15_t)0x73da, (q15_t)0x73d7, (q15_t)0x73d4, (q15_t)0x73d2, (q15_t)0x73cf, (q15_t)0x73cc,
+ (q15_t)0x73ca, (q15_t)0x73c7, (q15_t)0x73c4, (q15_t)0x73c1, (q15_t)0x73bf, (q15_t)0x73bc, (q15_t)0x73b9, (q15_t)0x73b7,
+ (q15_t)0x73b4, (q15_t)0x73b1, (q15_t)0x73af, (q15_t)0x73ac, (q15_t)0x73a9, (q15_t)0x73a7, (q15_t)0x73a4, (q15_t)0x73a1,
+ (q15_t)0x739f, (q15_t)0x739c, (q15_t)0x7399, (q15_t)0x7396, (q15_t)0x7394, (q15_t)0x7391, (q15_t)0x738e, (q15_t)0x738c,
+ (q15_t)0x7389, (q15_t)0x7386, (q15_t)0x7384, (q15_t)0x7381, (q15_t)0x737e, (q15_t)0x737b, (q15_t)0x7379, (q15_t)0x7376,
+ (q15_t)0x7373, (q15_t)0x7371, (q15_t)0x736e, (q15_t)0x736b, (q15_t)0x7368, (q15_t)0x7366, (q15_t)0x7363, (q15_t)0x7360,
+ (q15_t)0x735e, (q15_t)0x735b, (q15_t)0x7358, (q15_t)0x7355, (q15_t)0x7353, (q15_t)0x7350, (q15_t)0x734d, (q15_t)0x734a,
+ (q15_t)0x7348, (q15_t)0x7345, (q15_t)0x7342, (q15_t)0x7340, (q15_t)0x733d, (q15_t)0x733a, (q15_t)0x7337, (q15_t)0x7335,
+ (q15_t)0x7332, (q15_t)0x732f, (q15_t)0x732c, (q15_t)0x732a, (q15_t)0x7327, (q15_t)0x7324, (q15_t)0x7321, (q15_t)0x731f,
+ (q15_t)0x731c, (q15_t)0x7319, (q15_t)0x7316, (q15_t)0x7314, (q15_t)0x7311, (q15_t)0x730e, (q15_t)0x730b, (q15_t)0x7309,
+ (q15_t)0x7306, (q15_t)0x7303, (q15_t)0x7300, (q15_t)0x72fe, (q15_t)0x72fb, (q15_t)0x72f8, (q15_t)0x72f5, (q15_t)0x72f3,
+ (q15_t)0x72f0, (q15_t)0x72ed, (q15_t)0x72ea, (q15_t)0x72e8, (q15_t)0x72e5, (q15_t)0x72e2, (q15_t)0x72df, (q15_t)0x72dc,
+ (q15_t)0x72da, (q15_t)0x72d7, (q15_t)0x72d4, (q15_t)0x72d1, (q15_t)0x72cf, (q15_t)0x72cc, (q15_t)0x72c9, (q15_t)0x72c6,
+ (q15_t)0x72c3, (q15_t)0x72c1, (q15_t)0x72be, (q15_t)0x72bb, (q15_t)0x72b8, (q15_t)0x72b5, (q15_t)0x72b3, (q15_t)0x72b0,
+ (q15_t)0x72ad, (q15_t)0x72aa, (q15_t)0x72a8, (q15_t)0x72a5, (q15_t)0x72a2, (q15_t)0x729f, (q15_t)0x729c, (q15_t)0x729a,
+ (q15_t)0x7297, (q15_t)0x7294, (q15_t)0x7291, (q15_t)0x728e, (q15_t)0x728c, (q15_t)0x7289, (q15_t)0x7286, (q15_t)0x7283,
+ (q15_t)0x7280, (q15_t)0x727e, (q15_t)0x727b, (q15_t)0x7278, (q15_t)0x7275, (q15_t)0x7272, (q15_t)0x726f, (q15_t)0x726d,
+ (q15_t)0x726a, (q15_t)0x7267, (q15_t)0x7264, (q15_t)0x7261, (q15_t)0x725f, (q15_t)0x725c, (q15_t)0x7259, (q15_t)0x7256,
+ (q15_t)0x7253, (q15_t)0x7250, (q15_t)0x724e, (q15_t)0x724b, (q15_t)0x7248, (q15_t)0x7245, (q15_t)0x7242, (q15_t)0x723f,
+ (q15_t)0x723d, (q15_t)0x723a, (q15_t)0x7237, (q15_t)0x7234, (q15_t)0x7231, (q15_t)0x722e, (q15_t)0x722c, (q15_t)0x7229,
+ (q15_t)0x7226, (q15_t)0x7223, (q15_t)0x7220, (q15_t)0x721d, (q15_t)0x721b, (q15_t)0x7218, (q15_t)0x7215, (q15_t)0x7212,
+ (q15_t)0x720f, (q15_t)0x720c, (q15_t)0x7209, (q15_t)0x7207, (q15_t)0x7204, (q15_t)0x7201, (q15_t)0x71fe, (q15_t)0x71fb,
+ (q15_t)0x71f8, (q15_t)0x71f5, (q15_t)0x71f3, (q15_t)0x71f0, (q15_t)0x71ed, (q15_t)0x71ea, (q15_t)0x71e7, (q15_t)0x71e4,
+ (q15_t)0x71e1, (q15_t)0x71df, (q15_t)0x71dc, (q15_t)0x71d9, (q15_t)0x71d6, (q15_t)0x71d3, (q15_t)0x71d0, (q15_t)0x71cd,
+ (q15_t)0x71ca, (q15_t)0x71c8, (q15_t)0x71c5, (q15_t)0x71c2, (q15_t)0x71bf, (q15_t)0x71bc, (q15_t)0x71b9, (q15_t)0x71b6,
+ (q15_t)0x71b3, (q15_t)0x71b0, (q15_t)0x71ae, (q15_t)0x71ab, (q15_t)0x71a8, (q15_t)0x71a5, (q15_t)0x71a2, (q15_t)0x719f,
+ (q15_t)0x719c, (q15_t)0x7199, (q15_t)0x7196, (q15_t)0x7194, (q15_t)0x7191, (q15_t)0x718e, (q15_t)0x718b, (q15_t)0x7188,
+ (q15_t)0x7185, (q15_t)0x7182, (q15_t)0x717f, (q15_t)0x717c, (q15_t)0x7179, (q15_t)0x7177, (q15_t)0x7174, (q15_t)0x7171,
+ (q15_t)0x716e, (q15_t)0x716b, (q15_t)0x7168, (q15_t)0x7165, (q15_t)0x7162, (q15_t)0x715f, (q15_t)0x715c, (q15_t)0x7159,
+ (q15_t)0x7156, (q15_t)0x7154, (q15_t)0x7151, (q15_t)0x714e, (q15_t)0x714b, (q15_t)0x7148, (q15_t)0x7145, (q15_t)0x7142,
+ (q15_t)0x713f, (q15_t)0x713c, (q15_t)0x7139, (q15_t)0x7136, (q15_t)0x7133, (q15_t)0x7130, (q15_t)0x712d, (q15_t)0x712b,
+ (q15_t)0x7128, (q15_t)0x7125, (q15_t)0x7122, (q15_t)0x711f, (q15_t)0x711c, (q15_t)0x7119, (q15_t)0x7116, (q15_t)0x7113,
+ (q15_t)0x7110, (q15_t)0x710d, (q15_t)0x710a, (q15_t)0x7107, (q15_t)0x7104, (q15_t)0x7101, (q15_t)0x70fe, (q15_t)0x70fb,
+ (q15_t)0x70f8, (q15_t)0x70f6, (q15_t)0x70f3, (q15_t)0x70f0, (q15_t)0x70ed, (q15_t)0x70ea, (q15_t)0x70e7, (q15_t)0x70e4,
+ (q15_t)0x70e1, (q15_t)0x70de, (q15_t)0x70db, (q15_t)0x70d8, (q15_t)0x70d5, (q15_t)0x70d2, (q15_t)0x70cf, (q15_t)0x70cc,
+ (q15_t)0x70c9, (q15_t)0x70c6, (q15_t)0x70c3, (q15_t)0x70c0, (q15_t)0x70bd, (q15_t)0x70ba, (q15_t)0x70b7, (q15_t)0x70b4,
+ (q15_t)0x70b1, (q15_t)0x70ae, (q15_t)0x70ab, (q15_t)0x70a8, (q15_t)0x70a5, (q15_t)0x70a2, (q15_t)0x709f, (q15_t)0x709c,
+ (q15_t)0x7099, (q15_t)0x7096, (q15_t)0x7093, (q15_t)0x7090, (q15_t)0x708d, (q15_t)0x708a, (q15_t)0x7087, (q15_t)0x7084,
+ (q15_t)0x7081, (q15_t)0x707e, (q15_t)0x707b, (q15_t)0x7078, (q15_t)0x7075, (q15_t)0x7072, (q15_t)0x706f, (q15_t)0x706c,
+ (q15_t)0x7069, (q15_t)0x7066, (q15_t)0x7063, (q15_t)0x7060, (q15_t)0x705d, (q15_t)0x705a, (q15_t)0x7057, (q15_t)0x7054,
+ (q15_t)0x7051, (q15_t)0x704e, (q15_t)0x704b, (q15_t)0x7048, (q15_t)0x7045, (q15_t)0x7042, (q15_t)0x703f, (q15_t)0x703c,
+ (q15_t)0x7039, (q15_t)0x7036, (q15_t)0x7033, (q15_t)0x7030, (q15_t)0x702d, (q15_t)0x702a, (q15_t)0x7027, (q15_t)0x7024,
+ (q15_t)0x7021, (q15_t)0x701e, (q15_t)0x701b, (q15_t)0x7018, (q15_t)0x7015, (q15_t)0x7012, (q15_t)0x700f, (q15_t)0x700c,
+ (q15_t)0x7009, (q15_t)0x7006, (q15_t)0x7003, (q15_t)0x7000, (q15_t)0x6ffd, (q15_t)0x6ffa, (q15_t)0x6ff7, (q15_t)0x6ff3,
+ (q15_t)0x6ff0, (q15_t)0x6fed, (q15_t)0x6fea, (q15_t)0x6fe7, (q15_t)0x6fe4, (q15_t)0x6fe1, (q15_t)0x6fde, (q15_t)0x6fdb,
+ (q15_t)0x6fd8, (q15_t)0x6fd5, (q15_t)0x6fd2, (q15_t)0x6fcf, (q15_t)0x6fcc, (q15_t)0x6fc9, (q15_t)0x6fc6, (q15_t)0x6fc3,
+ (q15_t)0x6fc0, (q15_t)0x6fbc, (q15_t)0x6fb9, (q15_t)0x6fb6, (q15_t)0x6fb3, (q15_t)0x6fb0, (q15_t)0x6fad, (q15_t)0x6faa,
+ (q15_t)0x6fa7, (q15_t)0x6fa4, (q15_t)0x6fa1, (q15_t)0x6f9e, (q15_t)0x6f9b, (q15_t)0x6f98, (q15_t)0x6f95, (q15_t)0x6f91,
+ (q15_t)0x6f8e, (q15_t)0x6f8b, (q15_t)0x6f88, (q15_t)0x6f85, (q15_t)0x6f82, (q15_t)0x6f7f, (q15_t)0x6f7c, (q15_t)0x6f79,
+ (q15_t)0x6f76, (q15_t)0x6f73, (q15_t)0x6f70, (q15_t)0x6f6c, (q15_t)0x6f69, (q15_t)0x6f66, (q15_t)0x6f63, (q15_t)0x6f60,
+ (q15_t)0x6f5d, (q15_t)0x6f5a, (q15_t)0x6f57, (q15_t)0x6f54, (q15_t)0x6f51, (q15_t)0x6f4d, (q15_t)0x6f4a, (q15_t)0x6f47,
+ (q15_t)0x6f44, (q15_t)0x6f41, (q15_t)0x6f3e, (q15_t)0x6f3b, (q15_t)0x6f38, (q15_t)0x6f35, (q15_t)0x6f31, (q15_t)0x6f2e,
+ (q15_t)0x6f2b, (q15_t)0x6f28, (q15_t)0x6f25, (q15_t)0x6f22, (q15_t)0x6f1f, (q15_t)0x6f1c, (q15_t)0x6f19, (q15_t)0x6f15,
+ (q15_t)0x6f12, (q15_t)0x6f0f, (q15_t)0x6f0c, (q15_t)0x6f09, (q15_t)0x6f06, (q15_t)0x6f03, (q15_t)0x6f00, (q15_t)0x6efc,
+ (q15_t)0x6ef9, (q15_t)0x6ef6, (q15_t)0x6ef3, (q15_t)0x6ef0, (q15_t)0x6eed, (q15_t)0x6eea, (q15_t)0x6ee7, (q15_t)0x6ee3,
+ (q15_t)0x6ee0, (q15_t)0x6edd, (q15_t)0x6eda, (q15_t)0x6ed7, (q15_t)0x6ed4, (q15_t)0x6ed1, (q15_t)0x6ecd, (q15_t)0x6eca,
+ (q15_t)0x6ec7, (q15_t)0x6ec4, (q15_t)0x6ec1, (q15_t)0x6ebe, (q15_t)0x6eba, (q15_t)0x6eb7, (q15_t)0x6eb4, (q15_t)0x6eb1,
+ (q15_t)0x6eae, (q15_t)0x6eab, (q15_t)0x6ea8, (q15_t)0x6ea4, (q15_t)0x6ea1, (q15_t)0x6e9e, (q15_t)0x6e9b, (q15_t)0x6e98,
+ (q15_t)0x6e95, (q15_t)0x6e91, (q15_t)0x6e8e, (q15_t)0x6e8b, (q15_t)0x6e88, (q15_t)0x6e85, (q15_t)0x6e82, (q15_t)0x6e7e,
+ (q15_t)0x6e7b, (q15_t)0x6e78, (q15_t)0x6e75, (q15_t)0x6e72, (q15_t)0x6e6f, (q15_t)0x6e6b, (q15_t)0x6e68, (q15_t)0x6e65,
+ (q15_t)0x6e62, (q15_t)0x6e5f, (q15_t)0x6e5b, (q15_t)0x6e58, (q15_t)0x6e55, (q15_t)0x6e52, (q15_t)0x6e4f, (q15_t)0x6e4c,
+ (q15_t)0x6e48, (q15_t)0x6e45, (q15_t)0x6e42, (q15_t)0x6e3f, (q15_t)0x6e3c, (q15_t)0x6e38, (q15_t)0x6e35, (q15_t)0x6e32,
+ (q15_t)0x6e2f, (q15_t)0x6e2c, (q15_t)0x6e28, (q15_t)0x6e25, (q15_t)0x6e22, (q15_t)0x6e1f, (q15_t)0x6e1c, (q15_t)0x6e18,
+ (q15_t)0x6e15, (q15_t)0x6e12, (q15_t)0x6e0f, (q15_t)0x6e0c, (q15_t)0x6e08, (q15_t)0x6e05, (q15_t)0x6e02, (q15_t)0x6dff,
+ (q15_t)0x6dfb, (q15_t)0x6df8, (q15_t)0x6df5, (q15_t)0x6df2, (q15_t)0x6def, (q15_t)0x6deb, (q15_t)0x6de8, (q15_t)0x6de5,
+ (q15_t)0x6de2, (q15_t)0x6ddf, (q15_t)0x6ddb, (q15_t)0x6dd8, (q15_t)0x6dd5, (q15_t)0x6dd2, (q15_t)0x6dce, (q15_t)0x6dcb,
+ (q15_t)0x6dc8, (q15_t)0x6dc5, (q15_t)0x6dc1, (q15_t)0x6dbe, (q15_t)0x6dbb, (q15_t)0x6db8, (q15_t)0x6db5, (q15_t)0x6db1,
+ (q15_t)0x6dae, (q15_t)0x6dab, (q15_t)0x6da8, (q15_t)0x6da4, (q15_t)0x6da1, (q15_t)0x6d9e, (q15_t)0x6d9b, (q15_t)0x6d97,
+ (q15_t)0x6d94, (q15_t)0x6d91, (q15_t)0x6d8e, (q15_t)0x6d8a, (q15_t)0x6d87, (q15_t)0x6d84, (q15_t)0x6d81, (q15_t)0x6d7d,
+ (q15_t)0x6d7a, (q15_t)0x6d77, (q15_t)0x6d74, (q15_t)0x6d70, (q15_t)0x6d6d, (q15_t)0x6d6a, (q15_t)0x6d67, (q15_t)0x6d63,
+ (q15_t)0x6d60, (q15_t)0x6d5d, (q15_t)0x6d59, (q15_t)0x6d56, (q15_t)0x6d53, (q15_t)0x6d50, (q15_t)0x6d4c, (q15_t)0x6d49,
+ (q15_t)0x6d46, (q15_t)0x6d43, (q15_t)0x6d3f, (q15_t)0x6d3c, (q15_t)0x6d39, (q15_t)0x6d36, (q15_t)0x6d32, (q15_t)0x6d2f,
+ (q15_t)0x6d2c, (q15_t)0x6d28, (q15_t)0x6d25, (q15_t)0x6d22, (q15_t)0x6d1f, (q15_t)0x6d1b, (q15_t)0x6d18, (q15_t)0x6d15,
+ (q15_t)0x6d11, (q15_t)0x6d0e, (q15_t)0x6d0b, (q15_t)0x6d08, (q15_t)0x6d04, (q15_t)0x6d01, (q15_t)0x6cfe, (q15_t)0x6cfa,
+ (q15_t)0x6cf7, (q15_t)0x6cf4, (q15_t)0x6cf0, (q15_t)0x6ced, (q15_t)0x6cea, (q15_t)0x6ce7, (q15_t)0x6ce3, (q15_t)0x6ce0,
+ (q15_t)0x6cdd, (q15_t)0x6cd9, (q15_t)0x6cd6, (q15_t)0x6cd3, (q15_t)0x6ccf, (q15_t)0x6ccc, (q15_t)0x6cc9, (q15_t)0x6cc5,
+ (q15_t)0x6cc2, (q15_t)0x6cbf, (q15_t)0x6cbc, (q15_t)0x6cb8, (q15_t)0x6cb5, (q15_t)0x6cb2, (q15_t)0x6cae, (q15_t)0x6cab,
+ (q15_t)0x6ca8, (q15_t)0x6ca4, (q15_t)0x6ca1, (q15_t)0x6c9e, (q15_t)0x6c9a, (q15_t)0x6c97, (q15_t)0x6c94, (q15_t)0x6c90,
+ (q15_t)0x6c8d, (q15_t)0x6c8a, (q15_t)0x6c86, (q15_t)0x6c83, (q15_t)0x6c80, (q15_t)0x6c7c, (q15_t)0x6c79, (q15_t)0x6c76,
+ (q15_t)0x6c72, (q15_t)0x6c6f, (q15_t)0x6c6c, (q15_t)0x6c68, (q15_t)0x6c65, (q15_t)0x6c62, (q15_t)0x6c5e, (q15_t)0x6c5b,
+ (q15_t)0x6c58, (q15_t)0x6c54, (q15_t)0x6c51, (q15_t)0x6c4e, (q15_t)0x6c4a, (q15_t)0x6c47, (q15_t)0x6c44, (q15_t)0x6c40,
+ (q15_t)0x6c3d, (q15_t)0x6c39, (q15_t)0x6c36, (q15_t)0x6c33, (q15_t)0x6c2f, (q15_t)0x6c2c, (q15_t)0x6c29, (q15_t)0x6c25,
+ (q15_t)0x6c22, (q15_t)0x6c1f, (q15_t)0x6c1b, (q15_t)0x6c18, (q15_t)0x6c15, (q15_t)0x6c11, (q15_t)0x6c0e, (q15_t)0x6c0a,
+ (q15_t)0x6c07, (q15_t)0x6c04, (q15_t)0x6c00, (q15_t)0x6bfd, (q15_t)0x6bfa, (q15_t)0x6bf6, (q15_t)0x6bf3, (q15_t)0x6bef,
+ (q15_t)0x6bec, (q15_t)0x6be9, (q15_t)0x6be5, (q15_t)0x6be2, (q15_t)0x6bdf, (q15_t)0x6bdb, (q15_t)0x6bd8, (q15_t)0x6bd4,
+ (q15_t)0x6bd1, (q15_t)0x6bce, (q15_t)0x6bca, (q15_t)0x6bc7, (q15_t)0x6bc3, (q15_t)0x6bc0, (q15_t)0x6bbd, (q15_t)0x6bb9,
+ (q15_t)0x6bb6, (q15_t)0x6bb2, (q15_t)0x6baf, (q15_t)0x6bac, (q15_t)0x6ba8, (q15_t)0x6ba5, (q15_t)0x6ba1, (q15_t)0x6b9e,
+ (q15_t)0x6b9b, (q15_t)0x6b97, (q15_t)0x6b94, (q15_t)0x6b90, (q15_t)0x6b8d, (q15_t)0x6b8a, (q15_t)0x6b86, (q15_t)0x6b83,
+ (q15_t)0x6b7f, (q15_t)0x6b7c, (q15_t)0x6b79, (q15_t)0x6b75, (q15_t)0x6b72, (q15_t)0x6b6e, (q15_t)0x6b6b, (q15_t)0x6b68,
+ (q15_t)0x6b64, (q15_t)0x6b61, (q15_t)0x6b5d, (q15_t)0x6b5a, (q15_t)0x6b56, (q15_t)0x6b53, (q15_t)0x6b50, (q15_t)0x6b4c,
+ (q15_t)0x6b49, (q15_t)0x6b45, (q15_t)0x6b42, (q15_t)0x6b3e, (q15_t)0x6b3b, (q15_t)0x6b38, (q15_t)0x6b34, (q15_t)0x6b31,
+ (q15_t)0x6b2d, (q15_t)0x6b2a, (q15_t)0x6b26, (q15_t)0x6b23, (q15_t)0x6b20, (q15_t)0x6b1c, (q15_t)0x6b19, (q15_t)0x6b15,
+ (q15_t)0x6b12, (q15_t)0x6b0e, (q15_t)0x6b0b, (q15_t)0x6b07, (q15_t)0x6b04, (q15_t)0x6b01, (q15_t)0x6afd, (q15_t)0x6afa,
+ (q15_t)0x6af6, (q15_t)0x6af3, (q15_t)0x6aef, (q15_t)0x6aec, (q15_t)0x6ae8, (q15_t)0x6ae5, (q15_t)0x6ae1, (q15_t)0x6ade,
+ (q15_t)0x6adb, (q15_t)0x6ad7, (q15_t)0x6ad4, (q15_t)0x6ad0, (q15_t)0x6acd, (q15_t)0x6ac9, (q15_t)0x6ac6, (q15_t)0x6ac2,
+ (q15_t)0x6abf, (q15_t)0x6abb, (q15_t)0x6ab8, (q15_t)0x6ab4, (q15_t)0x6ab1, (q15_t)0x6aae, (q15_t)0x6aaa, (q15_t)0x6aa7,
+ (q15_t)0x6aa3, (q15_t)0x6aa0, (q15_t)0x6a9c, (q15_t)0x6a99, (q15_t)0x6a95, (q15_t)0x6a92, (q15_t)0x6a8e, (q15_t)0x6a8b,
+ (q15_t)0x6a87, (q15_t)0x6a84, (q15_t)0x6a80, (q15_t)0x6a7d, (q15_t)0x6a79, (q15_t)0x6a76, (q15_t)0x6a72, (q15_t)0x6a6f,
+ (q15_t)0x6a6b, (q15_t)0x6a68, (q15_t)0x6a64, (q15_t)0x6a61, (q15_t)0x6a5d, (q15_t)0x6a5a, (q15_t)0x6a56, (q15_t)0x6a53,
+ (q15_t)0x6a4f, (q15_t)0x6a4c, (q15_t)0x6a48, (q15_t)0x6a45, (q15_t)0x6a41, (q15_t)0x6a3e, (q15_t)0x6a3a, (q15_t)0x6a37,
+ (q15_t)0x6a33, (q15_t)0x6a30, (q15_t)0x6a2c, (q15_t)0x6a29, (q15_t)0x6a25, (q15_t)0x6a22, (q15_t)0x6a1e, (q15_t)0x6a1b,
+ (q15_t)0x6a17, (q15_t)0x6a14, (q15_t)0x6a10, (q15_t)0x6a0d, (q15_t)0x6a09, (q15_t)0x6a06, (q15_t)0x6a02, (q15_t)0x69ff,
+ (q15_t)0x69fb, (q15_t)0x69f8, (q15_t)0x69f4, (q15_t)0x69f1, (q15_t)0x69ed, (q15_t)0x69e9, (q15_t)0x69e6, (q15_t)0x69e2,
+ (q15_t)0x69df, (q15_t)0x69db, (q15_t)0x69d8, (q15_t)0x69d4, (q15_t)0x69d1, (q15_t)0x69cd, (q15_t)0x69ca, (q15_t)0x69c6,
+ (q15_t)0x69c3, (q15_t)0x69bf, (q15_t)0x69bc, (q15_t)0x69b8, (q15_t)0x69b4, (q15_t)0x69b1, (q15_t)0x69ad, (q15_t)0x69aa,
+ (q15_t)0x69a6, (q15_t)0x69a3, (q15_t)0x699f, (q15_t)0x699c, (q15_t)0x6998, (q15_t)0x6995, (q15_t)0x6991, (q15_t)0x698d,
+ (q15_t)0x698a, (q15_t)0x6986, (q15_t)0x6983, (q15_t)0x697f, (q15_t)0x697c, (q15_t)0x6978, (q15_t)0x6975, (q15_t)0x6971,
+ (q15_t)0x696d, (q15_t)0x696a, (q15_t)0x6966, (q15_t)0x6963, (q15_t)0x695f, (q15_t)0x695c, (q15_t)0x6958, (q15_t)0x6954,
+ (q15_t)0x6951, (q15_t)0x694d, (q15_t)0x694a, (q15_t)0x6946, (q15_t)0x6943, (q15_t)0x693f, (q15_t)0x693b, (q15_t)0x6938,
+ (q15_t)0x6934, (q15_t)0x6931, (q15_t)0x692d, (q15_t)0x692a, (q15_t)0x6926, (q15_t)0x6922, (q15_t)0x691f, (q15_t)0x691b,
+ (q15_t)0x6918, (q15_t)0x6914, (q15_t)0x6910, (q15_t)0x690d, (q15_t)0x6909, (q15_t)0x6906, (q15_t)0x6902, (q15_t)0x68fe,
+ (q15_t)0x68fb, (q15_t)0x68f7, (q15_t)0x68f4, (q15_t)0x68f0, (q15_t)0x68ec, (q15_t)0x68e9, (q15_t)0x68e5, (q15_t)0x68e2,
+ (q15_t)0x68de, (q15_t)0x68da, (q15_t)0x68d7, (q15_t)0x68d3, (q15_t)0x68d0, (q15_t)0x68cc, (q15_t)0x68c8, (q15_t)0x68c5,
+ (q15_t)0x68c1, (q15_t)0x68be, (q15_t)0x68ba, (q15_t)0x68b6, (q15_t)0x68b3, (q15_t)0x68af, (q15_t)0x68ac, (q15_t)0x68a8,
+ (q15_t)0x68a4, (q15_t)0x68a1, (q15_t)0x689d, (q15_t)0x6899, (q15_t)0x6896, (q15_t)0x6892, (q15_t)0x688f, (q15_t)0x688b,
+ (q15_t)0x6887, (q15_t)0x6884, (q15_t)0x6880, (q15_t)0x687c, (q15_t)0x6879, (q15_t)0x6875, (q15_t)0x6872, (q15_t)0x686e,
+ (q15_t)0x686a, (q15_t)0x6867, (q15_t)0x6863, (q15_t)0x685f, (q15_t)0x685c, (q15_t)0x6858, (q15_t)0x6854, (q15_t)0x6851,
+ (q15_t)0x684d, (q15_t)0x684a, (q15_t)0x6846, (q15_t)0x6842, (q15_t)0x683f, (q15_t)0x683b, (q15_t)0x6837, (q15_t)0x6834,
+ (q15_t)0x6830, (q15_t)0x682c, (q15_t)0x6829, (q15_t)0x6825, (q15_t)0x6821, (q15_t)0x681e, (q15_t)0x681a, (q15_t)0x6816,
+ (q15_t)0x6813, (q15_t)0x680f, (q15_t)0x680b, (q15_t)0x6808, (q15_t)0x6804, (q15_t)0x6800, (q15_t)0x67fd, (q15_t)0x67f9,
+ (q15_t)0x67f5, (q15_t)0x67f2, (q15_t)0x67ee, (q15_t)0x67ea, (q15_t)0x67e7, (q15_t)0x67e3, (q15_t)0x67df, (q15_t)0x67dc,
+ (q15_t)0x67d8, (q15_t)0x67d4, (q15_t)0x67d1, (q15_t)0x67cd, (q15_t)0x67c9, (q15_t)0x67c6, (q15_t)0x67c2, (q15_t)0x67be,
+ (q15_t)0x67bb, (q15_t)0x67b7, (q15_t)0x67b3, (q15_t)0x67b0, (q15_t)0x67ac, (q15_t)0x67a8, (q15_t)0x67a5, (q15_t)0x67a1,
+ (q15_t)0x679d, (q15_t)0x679a, (q15_t)0x6796, (q15_t)0x6792, (q15_t)0x678e, (q15_t)0x678b, (q15_t)0x6787, (q15_t)0x6783,
+ (q15_t)0x6780, (q15_t)0x677c, (q15_t)0x6778, (q15_t)0x6775, (q15_t)0x6771, (q15_t)0x676d, (q15_t)0x6769, (q15_t)0x6766,
+ (q15_t)0x6762, (q15_t)0x675e, (q15_t)0x675b, (q15_t)0x6757, (q15_t)0x6753, (q15_t)0x6750, (q15_t)0x674c, (q15_t)0x6748,
+ (q15_t)0x6744, (q15_t)0x6741, (q15_t)0x673d, (q15_t)0x6739, (q15_t)0x6736, (q15_t)0x6732, (q15_t)0x672e, (q15_t)0x672a,
+ (q15_t)0x6727, (q15_t)0x6723, (q15_t)0x671f, (q15_t)0x671c, (q15_t)0x6718, (q15_t)0x6714, (q15_t)0x6710, (q15_t)0x670d,
+ (q15_t)0x6709, (q15_t)0x6705, (q15_t)0x6701, (q15_t)0x66fe, (q15_t)0x66fa, (q15_t)0x66f6, (q15_t)0x66f3, (q15_t)0x66ef,
+ (q15_t)0x66eb, (q15_t)0x66e7, (q15_t)0x66e4, (q15_t)0x66e0, (q15_t)0x66dc, (q15_t)0x66d8, (q15_t)0x66d5, (q15_t)0x66d1,
+ (q15_t)0x66cd, (q15_t)0x66c9, (q15_t)0x66c6, (q15_t)0x66c2, (q15_t)0x66be, (q15_t)0x66ba, (q15_t)0x66b7, (q15_t)0x66b3,
+ (q15_t)0x66af, (q15_t)0x66ab, (q15_t)0x66a8, (q15_t)0x66a4, (q15_t)0x66a0, (q15_t)0x669c, (q15_t)0x6699, (q15_t)0x6695,
+ (q15_t)0x6691, (q15_t)0x668d, (q15_t)0x668a, (q15_t)0x6686, (q15_t)0x6682, (q15_t)0x667e, (q15_t)0x667b, (q15_t)0x6677,
+ (q15_t)0x6673, (q15_t)0x666f, (q15_t)0x666b, (q15_t)0x6668, (q15_t)0x6664, (q15_t)0x6660, (q15_t)0x665c, (q15_t)0x6659,
+ (q15_t)0x6655, (q15_t)0x6651, (q15_t)0x664d, (q15_t)0x664a, (q15_t)0x6646, (q15_t)0x6642, (q15_t)0x663e, (q15_t)0x663a,
+ (q15_t)0x6637, (q15_t)0x6633, (q15_t)0x662f, (q15_t)0x662b, (q15_t)0x6627, (q15_t)0x6624, (q15_t)0x6620, (q15_t)0x661c,
+ (q15_t)0x6618, (q15_t)0x6615, (q15_t)0x6611, (q15_t)0x660d, (q15_t)0x6609, (q15_t)0x6605, (q15_t)0x6602, (q15_t)0x65fe,
+ (q15_t)0x65fa, (q15_t)0x65f6, (q15_t)0x65f2, (q15_t)0x65ef, (q15_t)0x65eb, (q15_t)0x65e7, (q15_t)0x65e3, (q15_t)0x65df,
+ (q15_t)0x65dc, (q15_t)0x65d8, (q15_t)0x65d4, (q15_t)0x65d0, (q15_t)0x65cc, (q15_t)0x65c9, (q15_t)0x65c5, (q15_t)0x65c1,
+ (q15_t)0x65bd, (q15_t)0x65b9, (q15_t)0x65b5, (q15_t)0x65b2, (q15_t)0x65ae, (q15_t)0x65aa, (q15_t)0x65a6, (q15_t)0x65a2,
+ (q15_t)0x659f, (q15_t)0x659b, (q15_t)0x6597, (q15_t)0x6593, (q15_t)0x658f, (q15_t)0x658b, (q15_t)0x6588, (q15_t)0x6584,
+ (q15_t)0x6580, (q15_t)0x657c, (q15_t)0x6578, (q15_t)0x6574, (q15_t)0x6571, (q15_t)0x656d, (q15_t)0x6569, (q15_t)0x6565,
+ (q15_t)0x6561, (q15_t)0x655d, (q15_t)0x655a, (q15_t)0x6556, (q15_t)0x6552, (q15_t)0x654e, (q15_t)0x654a, (q15_t)0x6546,
+ (q15_t)0x6543, (q15_t)0x653f, (q15_t)0x653b, (q15_t)0x6537, (q15_t)0x6533, (q15_t)0x652f, (q15_t)0x652c, (q15_t)0x6528,
+ (q15_t)0x6524, (q15_t)0x6520, (q15_t)0x651c, (q15_t)0x6518, (q15_t)0x6514, (q15_t)0x6511, (q15_t)0x650d, (q15_t)0x6509,
+ (q15_t)0x6505, (q15_t)0x6501, (q15_t)0x64fd, (q15_t)0x64f9, (q15_t)0x64f6, (q15_t)0x64f2, (q15_t)0x64ee, (q15_t)0x64ea,
+ (q15_t)0x64e6, (q15_t)0x64e2, (q15_t)0x64de, (q15_t)0x64db, (q15_t)0x64d7, (q15_t)0x64d3, (q15_t)0x64cf, (q15_t)0x64cb,
+ (q15_t)0x64c7, (q15_t)0x64c3, (q15_t)0x64bf, (q15_t)0x64bc, (q15_t)0x64b8, (q15_t)0x64b4, (q15_t)0x64b0, (q15_t)0x64ac,
+ (q15_t)0x64a8, (q15_t)0x64a4, (q15_t)0x64a0, (q15_t)0x649c, (q15_t)0x6499, (q15_t)0x6495, (q15_t)0x6491, (q15_t)0x648d,
+ (q15_t)0x6489, (q15_t)0x6485, (q15_t)0x6481, (q15_t)0x647d, (q15_t)0x6479, (q15_t)0x6476, (q15_t)0x6472, (q15_t)0x646e,
+ (q15_t)0x646a, (q15_t)0x6466, (q15_t)0x6462, (q15_t)0x645e, (q15_t)0x645a, (q15_t)0x6456, (q15_t)0x6453, (q15_t)0x644f,
+ (q15_t)0x644b, (q15_t)0x6447, (q15_t)0x6443, (q15_t)0x643f, (q15_t)0x643b, (q15_t)0x6437, (q15_t)0x6433, (q15_t)0x642f,
+ (q15_t)0x642b, (q15_t)0x6428, (q15_t)0x6424, (q15_t)0x6420, (q15_t)0x641c, (q15_t)0x6418, (q15_t)0x6414, (q15_t)0x6410,
+ (q15_t)0x640c, (q15_t)0x6408, (q15_t)0x6404, (q15_t)0x6400, (q15_t)0x63fc, (q15_t)0x63f9, (q15_t)0x63f5, (q15_t)0x63f1,
+ (q15_t)0x63ed, (q15_t)0x63e9, (q15_t)0x63e5, (q15_t)0x63e1, (q15_t)0x63dd, (q15_t)0x63d9, (q15_t)0x63d5, (q15_t)0x63d1,
+ (q15_t)0x63cd, (q15_t)0x63c9, (q15_t)0x63c5, (q15_t)0x63c1, (q15_t)0x63be, (q15_t)0x63ba, (q15_t)0x63b6, (q15_t)0x63b2,
+ (q15_t)0x63ae, (q15_t)0x63aa, (q15_t)0x63a6, (q15_t)0x63a2, (q15_t)0x639e, (q15_t)0x639a, (q15_t)0x6396, (q15_t)0x6392,
+ (q15_t)0x638e, (q15_t)0x638a, (q15_t)0x6386, (q15_t)0x6382, (q15_t)0x637e, (q15_t)0x637a, (q15_t)0x6377, (q15_t)0x6373,
+ (q15_t)0x636f, (q15_t)0x636b, (q15_t)0x6367, (q15_t)0x6363, (q15_t)0x635f, (q15_t)0x635b, (q15_t)0x6357, (q15_t)0x6353,
+ (q15_t)0x634f, (q15_t)0x634b, (q15_t)0x6347, (q15_t)0x6343, (q15_t)0x633f, (q15_t)0x633b, (q15_t)0x6337, (q15_t)0x6333,
+ (q15_t)0x632f, (q15_t)0x632b, (q15_t)0x6327, (q15_t)0x6323, (q15_t)0x631f, (q15_t)0x631b, (q15_t)0x6317, (q15_t)0x6313,
+ (q15_t)0x630f, (q15_t)0x630b, (q15_t)0x6307, (q15_t)0x6303, (q15_t)0x62ff, (q15_t)0x62fb, (q15_t)0x62f7, (q15_t)0x62f3,
+ (q15_t)0x62f0, (q15_t)0x62ec, (q15_t)0x62e8, (q15_t)0x62e4, (q15_t)0x62e0, (q15_t)0x62dc, (q15_t)0x62d8, (q15_t)0x62d4,
+ (q15_t)0x62d0, (q15_t)0x62cc, (q15_t)0x62c8, (q15_t)0x62c4, (q15_t)0x62c0, (q15_t)0x62bc, (q15_t)0x62b8, (q15_t)0x62b4,
+ (q15_t)0x62b0, (q15_t)0x62ac, (q15_t)0x62a8, (q15_t)0x62a4, (q15_t)0x62a0, (q15_t)0x629c, (q15_t)0x6298, (q15_t)0x6294,
+ (q15_t)0x6290, (q15_t)0x628c, (q15_t)0x6288, (q15_t)0x6284, (q15_t)0x6280, (q15_t)0x627c, (q15_t)0x6278, (q15_t)0x6273,
+ (q15_t)0x626f, (q15_t)0x626b, (q15_t)0x6267, (q15_t)0x6263, (q15_t)0x625f, (q15_t)0x625b, (q15_t)0x6257, (q15_t)0x6253,
+ (q15_t)0x624f, (q15_t)0x624b, (q15_t)0x6247, (q15_t)0x6243, (q15_t)0x623f, (q15_t)0x623b, (q15_t)0x6237, (q15_t)0x6233,
+ (q15_t)0x622f, (q15_t)0x622b, (q15_t)0x6227, (q15_t)0x6223, (q15_t)0x621f, (q15_t)0x621b, (q15_t)0x6217, (q15_t)0x6213,
+ (q15_t)0x620f, (q15_t)0x620b, (q15_t)0x6207, (q15_t)0x6203, (q15_t)0x61ff, (q15_t)0x61fb, (q15_t)0x61f7, (q15_t)0x61f3,
+ (q15_t)0x61ee, (q15_t)0x61ea, (q15_t)0x61e6, (q15_t)0x61e2, (q15_t)0x61de, (q15_t)0x61da, (q15_t)0x61d6, (q15_t)0x61d2,
+ (q15_t)0x61ce, (q15_t)0x61ca, (q15_t)0x61c6, (q15_t)0x61c2, (q15_t)0x61be, (q15_t)0x61ba, (q15_t)0x61b6, (q15_t)0x61b2,
+ (q15_t)0x61ae, (q15_t)0x61aa, (q15_t)0x61a6, (q15_t)0x61a1, (q15_t)0x619d, (q15_t)0x6199, (q15_t)0x6195, (q15_t)0x6191,
+ (q15_t)0x618d, (q15_t)0x6189, (q15_t)0x6185, (q15_t)0x6181, (q15_t)0x617d, (q15_t)0x6179, (q15_t)0x6175, (q15_t)0x6171,
+ (q15_t)0x616d, (q15_t)0x6168, (q15_t)0x6164, (q15_t)0x6160, (q15_t)0x615c, (q15_t)0x6158, (q15_t)0x6154, (q15_t)0x6150,
+ (q15_t)0x614c, (q15_t)0x6148, (q15_t)0x6144, (q15_t)0x6140, (q15_t)0x613c, (q15_t)0x6137, (q15_t)0x6133, (q15_t)0x612f,
+ (q15_t)0x612b, (q15_t)0x6127, (q15_t)0x6123, (q15_t)0x611f, (q15_t)0x611b, (q15_t)0x6117, (q15_t)0x6113, (q15_t)0x610f,
+ (q15_t)0x610a, (q15_t)0x6106, (q15_t)0x6102, (q15_t)0x60fe, (q15_t)0x60fa, (q15_t)0x60f6, (q15_t)0x60f2, (q15_t)0x60ee,
+ (q15_t)0x60ea, (q15_t)0x60e6, (q15_t)0x60e1, (q15_t)0x60dd, (q15_t)0x60d9, (q15_t)0x60d5, (q15_t)0x60d1, (q15_t)0x60cd,
+ (q15_t)0x60c9, (q15_t)0x60c5, (q15_t)0x60c1, (q15_t)0x60bc, (q15_t)0x60b8, (q15_t)0x60b4, (q15_t)0x60b0, (q15_t)0x60ac,
+ (q15_t)0x60a8, (q15_t)0x60a4, (q15_t)0x60a0, (q15_t)0x609c, (q15_t)0x6097, (q15_t)0x6093, (q15_t)0x608f, (q15_t)0x608b,
+ (q15_t)0x6087, (q15_t)0x6083, (q15_t)0x607f, (q15_t)0x607b, (q15_t)0x6076, (q15_t)0x6072, (q15_t)0x606e, (q15_t)0x606a,
+ (q15_t)0x6066, (q15_t)0x6062, (q15_t)0x605e, (q15_t)0x6059, (q15_t)0x6055, (q15_t)0x6051, (q15_t)0x604d, (q15_t)0x6049,
+ (q15_t)0x6045, (q15_t)0x6041, (q15_t)0x603c, (q15_t)0x6038, (q15_t)0x6034, (q15_t)0x6030, (q15_t)0x602c, (q15_t)0x6028,
+ (q15_t)0x6024, (q15_t)0x601f, (q15_t)0x601b, (q15_t)0x6017, (q15_t)0x6013, (q15_t)0x600f, (q15_t)0x600b, (q15_t)0x6007,
+ (q15_t)0x6002, (q15_t)0x5ffe, (q15_t)0x5ffa, (q15_t)0x5ff6, (q15_t)0x5ff2, (q15_t)0x5fee, (q15_t)0x5fe9, (q15_t)0x5fe5,
+ (q15_t)0x5fe1, (q15_t)0x5fdd, (q15_t)0x5fd9, (q15_t)0x5fd5, (q15_t)0x5fd0, (q15_t)0x5fcc, (q15_t)0x5fc8, (q15_t)0x5fc4,
+ (q15_t)0x5fc0, (q15_t)0x5fbc, (q15_t)0x5fb7, (q15_t)0x5fb3, (q15_t)0x5faf, (q15_t)0x5fab, (q15_t)0x5fa7, (q15_t)0x5fa3,
+ (q15_t)0x5f9e, (q15_t)0x5f9a, (q15_t)0x5f96, (q15_t)0x5f92, (q15_t)0x5f8e, (q15_t)0x5f8a, (q15_t)0x5f85, (q15_t)0x5f81,
+ (q15_t)0x5f7d, (q15_t)0x5f79, (q15_t)0x5f75, (q15_t)0x5f70, (q15_t)0x5f6c, (q15_t)0x5f68, (q15_t)0x5f64, (q15_t)0x5f60,
+ (q15_t)0x5f5b, (q15_t)0x5f57, (q15_t)0x5f53, (q15_t)0x5f4f, (q15_t)0x5f4b, (q15_t)0x5f46, (q15_t)0x5f42, (q15_t)0x5f3e,
+ (q15_t)0x5f3a, (q15_t)0x5f36, (q15_t)0x5f31, (q15_t)0x5f2d, (q15_t)0x5f29, (q15_t)0x5f25, (q15_t)0x5f21, (q15_t)0x5f1c,
+ (q15_t)0x5f18, (q15_t)0x5f14, (q15_t)0x5f10, (q15_t)0x5f0c, (q15_t)0x5f07, (q15_t)0x5f03, (q15_t)0x5eff, (q15_t)0x5efb,
+ (q15_t)0x5ef7, (q15_t)0x5ef2, (q15_t)0x5eee, (q15_t)0x5eea, (q15_t)0x5ee6, (q15_t)0x5ee2, (q15_t)0x5edd, (q15_t)0x5ed9,
+ (q15_t)0x5ed5, (q15_t)0x5ed1, (q15_t)0x5ecc, (q15_t)0x5ec8, (q15_t)0x5ec4, (q15_t)0x5ec0, (q15_t)0x5ebc, (q15_t)0x5eb7,
+ (q15_t)0x5eb3, (q15_t)0x5eaf, (q15_t)0x5eab, (q15_t)0x5ea6, (q15_t)0x5ea2, (q15_t)0x5e9e, (q15_t)0x5e9a, (q15_t)0x5e95,
+ (q15_t)0x5e91, (q15_t)0x5e8d, (q15_t)0x5e89, (q15_t)0x5e85, (q15_t)0x5e80, (q15_t)0x5e7c, (q15_t)0x5e78, (q15_t)0x5e74,
+ (q15_t)0x5e6f, (q15_t)0x5e6b, (q15_t)0x5e67, (q15_t)0x5e63, (q15_t)0x5e5e, (q15_t)0x5e5a, (q15_t)0x5e56, (q15_t)0x5e52,
+ (q15_t)0x5e4d, (q15_t)0x5e49, (q15_t)0x5e45, (q15_t)0x5e41, (q15_t)0x5e3c, (q15_t)0x5e38, (q15_t)0x5e34, (q15_t)0x5e30,
+ (q15_t)0x5e2b, (q15_t)0x5e27, (q15_t)0x5e23, (q15_t)0x5e1f, (q15_t)0x5e1a, (q15_t)0x5e16, (q15_t)0x5e12, (q15_t)0x5e0e,
+ (q15_t)0x5e09, (q15_t)0x5e05, (q15_t)0x5e01, (q15_t)0x5dfd, (q15_t)0x5df8, (q15_t)0x5df4, (q15_t)0x5df0, (q15_t)0x5deb,
+ (q15_t)0x5de7, (q15_t)0x5de3, (q15_t)0x5ddf, (q15_t)0x5dda, (q15_t)0x5dd6, (q15_t)0x5dd2, (q15_t)0x5dce, (q15_t)0x5dc9,
+ (q15_t)0x5dc5, (q15_t)0x5dc1, (q15_t)0x5dbc, (q15_t)0x5db8, (q15_t)0x5db4, (q15_t)0x5db0, (q15_t)0x5dab, (q15_t)0x5da7,
+ (q15_t)0x5da3, (q15_t)0x5d9e, (q15_t)0x5d9a, (q15_t)0x5d96, (q15_t)0x5d92, (q15_t)0x5d8d, (q15_t)0x5d89, (q15_t)0x5d85,
+ (q15_t)0x5d80, (q15_t)0x5d7c, (q15_t)0x5d78, (q15_t)0x5d74, (q15_t)0x5d6f, (q15_t)0x5d6b, (q15_t)0x5d67, (q15_t)0x5d62,
+ (q15_t)0x5d5e, (q15_t)0x5d5a, (q15_t)0x5d55, (q15_t)0x5d51, (q15_t)0x5d4d, (q15_t)0x5d49, (q15_t)0x5d44, (q15_t)0x5d40,
+ (q15_t)0x5d3c, (q15_t)0x5d37, (q15_t)0x5d33, (q15_t)0x5d2f, (q15_t)0x5d2a, (q15_t)0x5d26, (q15_t)0x5d22, (q15_t)0x5d1e,
+ (q15_t)0x5d19, (q15_t)0x5d15, (q15_t)0x5d11, (q15_t)0x5d0c, (q15_t)0x5d08, (q15_t)0x5d04, (q15_t)0x5cff, (q15_t)0x5cfb,
+ (q15_t)0x5cf7, (q15_t)0x5cf2, (q15_t)0x5cee, (q15_t)0x5cea, (q15_t)0x5ce5, (q15_t)0x5ce1, (q15_t)0x5cdd, (q15_t)0x5cd8,
+ (q15_t)0x5cd4, (q15_t)0x5cd0, (q15_t)0x5ccb, (q15_t)0x5cc7, (q15_t)0x5cc3, (q15_t)0x5cbe, (q15_t)0x5cba, (q15_t)0x5cb6,
+ (q15_t)0x5cb1, (q15_t)0x5cad, (q15_t)0x5ca9, (q15_t)0x5ca4, (q15_t)0x5ca0, (q15_t)0x5c9c, (q15_t)0x5c97, (q15_t)0x5c93,
+ (q15_t)0x5c8f, (q15_t)0x5c8a, (q15_t)0x5c86, (q15_t)0x5c82, (q15_t)0x5c7d, (q15_t)0x5c79, (q15_t)0x5c75, (q15_t)0x5c70,
+ (q15_t)0x5c6c, (q15_t)0x5c68, (q15_t)0x5c63, (q15_t)0x5c5f, (q15_t)0x5c5b, (q15_t)0x5c56, (q15_t)0x5c52, (q15_t)0x5c4e,
+ (q15_t)0x5c49, (q15_t)0x5c45, (q15_t)0x5c41, (q15_t)0x5c3c, (q15_t)0x5c38, (q15_t)0x5c33, (q15_t)0x5c2f, (q15_t)0x5c2b,
+ (q15_t)0x5c26, (q15_t)0x5c22, (q15_t)0x5c1e, (q15_t)0x5c19, (q15_t)0x5c15, (q15_t)0x5c11, (q15_t)0x5c0c, (q15_t)0x5c08,
+ (q15_t)0x5c03, (q15_t)0x5bff, (q15_t)0x5bfb, (q15_t)0x5bf6, (q15_t)0x5bf2, (q15_t)0x5bee, (q15_t)0x5be9, (q15_t)0x5be5,
+ (q15_t)0x5be0, (q15_t)0x5bdc, (q15_t)0x5bd8, (q15_t)0x5bd3, (q15_t)0x5bcf, (q15_t)0x5bcb, (q15_t)0x5bc6, (q15_t)0x5bc2,
+ (q15_t)0x5bbd, (q15_t)0x5bb9, (q15_t)0x5bb5, (q15_t)0x5bb0, (q15_t)0x5bac, (q15_t)0x5ba8, (q15_t)0x5ba3, (q15_t)0x5b9f,
+ (q15_t)0x5b9a, (q15_t)0x5b96, (q15_t)0x5b92, (q15_t)0x5b8d, (q15_t)0x5b89, (q15_t)0x5b84, (q15_t)0x5b80, (q15_t)0x5b7c,
+ (q15_t)0x5b77, (q15_t)0x5b73, (q15_t)0x5b6e, (q15_t)0x5b6a, (q15_t)0x5b66, (q15_t)0x5b61, (q15_t)0x5b5d, (q15_t)0x5b58,
+ (q15_t)0x5b54, (q15_t)0x5b50, (q15_t)0x5b4b, (q15_t)0x5b47, (q15_t)0x5b42, (q15_t)0x5b3e, (q15_t)0x5b3a, (q15_t)0x5b35,
+ (q15_t)0x5b31, (q15_t)0x5b2c, (q15_t)0x5b28, (q15_t)0x5b24, (q15_t)0x5b1f, (q15_t)0x5b1b, (q15_t)0x5b16, (q15_t)0x5b12,
+ (q15_t)0x5b0e, (q15_t)0x5b09, (q15_t)0x5b05, (q15_t)0x5b00, (q15_t)0x5afc, (q15_t)0x5af7, (q15_t)0x5af3, (q15_t)0x5aef,
+ (q15_t)0x5aea, (q15_t)0x5ae6, (q15_t)0x5ae1, (q15_t)0x5add, (q15_t)0x5ad8, (q15_t)0x5ad4, (q15_t)0x5ad0, (q15_t)0x5acb,
+ (q15_t)0x5ac7, (q15_t)0x5ac2, (q15_t)0x5abe, (q15_t)0x5ab9, (q15_t)0x5ab5, (q15_t)0x5ab1, (q15_t)0x5aac, (q15_t)0x5aa8,
+ (q15_t)0x5aa3, (q15_t)0x5a9f, (q15_t)0x5a9a, (q15_t)0x5a96, (q15_t)0x5a92, (q15_t)0x5a8d, (q15_t)0x5a89, (q15_t)0x5a84,
+ (q15_t)0x5a80, (q15_t)0x5a7b, (q15_t)0x5a77, (q15_t)0x5a72, (q15_t)0x5a6e, (q15_t)0x5a6a, (q15_t)0x5a65, (q15_t)0x5a61,
+ (q15_t)0x5a5c, (q15_t)0x5a58, (q15_t)0x5a53, (q15_t)0x5a4f, (q15_t)0x5a4a, (q15_t)0x5a46, (q15_t)0x5a41, (q15_t)0x5a3d,
+ (q15_t)0x5a39, (q15_t)0x5a34, (q15_t)0x5a30, (q15_t)0x5a2b, (q15_t)0x5a27, (q15_t)0x5a22, (q15_t)0x5a1e, (q15_t)0x5a19,
+ (q15_t)0x5a15, (q15_t)0x5a10, (q15_t)0x5a0c, (q15_t)0x5a07, (q15_t)0x5a03, (q15_t)0x59ff, (q15_t)0x59fa, (q15_t)0x59f6,
+ (q15_t)0x59f1, (q15_t)0x59ed, (q15_t)0x59e8, (q15_t)0x59e4, (q15_t)0x59df, (q15_t)0x59db, (q15_t)0x59d6, (q15_t)0x59d2,
+ (q15_t)0x59cd, (q15_t)0x59c9, (q15_t)0x59c4, (q15_t)0x59c0, (q15_t)0x59bb, (q15_t)0x59b7, (q15_t)0x59b2, (q15_t)0x59ae,
+ (q15_t)0x59a9, (q15_t)0x59a5, (q15_t)0x59a1, (q15_t)0x599c, (q15_t)0x5998, (q15_t)0x5993, (q15_t)0x598f, (q15_t)0x598a,
+ (q15_t)0x5986, (q15_t)0x5981, (q15_t)0x597d, (q15_t)0x5978, (q15_t)0x5974, (q15_t)0x596f, (q15_t)0x596b, (q15_t)0x5966,
+ (q15_t)0x5962, (q15_t)0x595d, (q15_t)0x5959, (q15_t)0x5954, (q15_t)0x5950, (q15_t)0x594b, (q15_t)0x5947, (q15_t)0x5942,
+ (q15_t)0x593e, (q15_t)0x5939, (q15_t)0x5935, (q15_t)0x5930, (q15_t)0x592c, (q15_t)0x5927, (q15_t)0x5923, (q15_t)0x591e,
+ (q15_t)0x591a, (q15_t)0x5915, (q15_t)0x5911, (q15_t)0x590c, (q15_t)0x5908, (q15_t)0x5903, (q15_t)0x58fe, (q15_t)0x58fa,
+ (q15_t)0x58f5, (q15_t)0x58f1, (q15_t)0x58ec, (q15_t)0x58e8, (q15_t)0x58e3, (q15_t)0x58df, (q15_t)0x58da, (q15_t)0x58d6,
+ (q15_t)0x58d1, (q15_t)0x58cd, (q15_t)0x58c8, (q15_t)0x58c4, (q15_t)0x58bf, (q15_t)0x58bb, (q15_t)0x58b6, (q15_t)0x58b2,
+ (q15_t)0x58ad, (q15_t)0x58a9, (q15_t)0x58a4, (q15_t)0x589f, (q15_t)0x589b, (q15_t)0x5896, (q15_t)0x5892, (q15_t)0x588d,
+ (q15_t)0x5889, (q15_t)0x5884, (q15_t)0x5880, (q15_t)0x587b, (q15_t)0x5877, (q15_t)0x5872, (q15_t)0x586e, (q15_t)0x5869,
+ (q15_t)0x5864, (q15_t)0x5860, (q15_t)0x585b, (q15_t)0x5857, (q15_t)0x5852, (q15_t)0x584e, (q15_t)0x5849, (q15_t)0x5845,
+ (q15_t)0x5840, (q15_t)0x583c, (q15_t)0x5837, (q15_t)0x5832, (q15_t)0x582e, (q15_t)0x5829, (q15_t)0x5825, (q15_t)0x5820,
+ (q15_t)0x581c, (q15_t)0x5817, (q15_t)0x5813, (q15_t)0x580e, (q15_t)0x5809, (q15_t)0x5805, (q15_t)0x5800, (q15_t)0x57fc,
+ (q15_t)0x57f7, (q15_t)0x57f3, (q15_t)0x57ee, (q15_t)0x57e9, (q15_t)0x57e5, (q15_t)0x57e0, (q15_t)0x57dc, (q15_t)0x57d7,
+ (q15_t)0x57d3, (q15_t)0x57ce, (q15_t)0x57c9, (q15_t)0x57c5, (q15_t)0x57c0, (q15_t)0x57bc, (q15_t)0x57b7, (q15_t)0x57b3,
+ (q15_t)0x57ae, (q15_t)0x57a9, (q15_t)0x57a5, (q15_t)0x57a0, (q15_t)0x579c, (q15_t)0x5797, (q15_t)0x5793, (q15_t)0x578e,
+ (q15_t)0x5789, (q15_t)0x5785, (q15_t)0x5780, (q15_t)0x577c, (q15_t)0x5777, (q15_t)0x5772, (q15_t)0x576e, (q15_t)0x5769,
+ (q15_t)0x5765, (q15_t)0x5760, (q15_t)0x575c, (q15_t)0x5757, (q15_t)0x5752, (q15_t)0x574e, (q15_t)0x5749, (q15_t)0x5745,
+ (q15_t)0x5740, (q15_t)0x573b, (q15_t)0x5737, (q15_t)0x5732, (q15_t)0x572e, (q15_t)0x5729, (q15_t)0x5724, (q15_t)0x5720,
+ (q15_t)0x571b, (q15_t)0x5717, (q15_t)0x5712, (q15_t)0x570d, (q15_t)0x5709, (q15_t)0x5704, (q15_t)0x56ff, (q15_t)0x56fb,
+ (q15_t)0x56f6, (q15_t)0x56f2, (q15_t)0x56ed, (q15_t)0x56e8, (q15_t)0x56e4, (q15_t)0x56df, (q15_t)0x56db, (q15_t)0x56d6,
+ (q15_t)0x56d1, (q15_t)0x56cd, (q15_t)0x56c8, (q15_t)0x56c4, (q15_t)0x56bf, (q15_t)0x56ba, (q15_t)0x56b6, (q15_t)0x56b1,
+ (q15_t)0x56ac, (q15_t)0x56a8, (q15_t)0x56a3, (q15_t)0x569f, (q15_t)0x569a, (q15_t)0x5695, (q15_t)0x5691, (q15_t)0x568c,
+ (q15_t)0x5687, (q15_t)0x5683, (q15_t)0x567e, (q15_t)0x5679, (q15_t)0x5675, (q15_t)0x5670, (q15_t)0x566c, (q15_t)0x5667,
+ (q15_t)0x5662, (q15_t)0x565e, (q15_t)0x5659, (q15_t)0x5654, (q15_t)0x5650, (q15_t)0x564b, (q15_t)0x5646, (q15_t)0x5642,
+ (q15_t)0x563d, (q15_t)0x5639, (q15_t)0x5634, (q15_t)0x562f, (q15_t)0x562b, (q15_t)0x5626, (q15_t)0x5621, (q15_t)0x561d,
+ (q15_t)0x5618, (q15_t)0x5613, (q15_t)0x560f, (q15_t)0x560a, (q15_t)0x5605, (q15_t)0x5601, (q15_t)0x55fc, (q15_t)0x55f7,
+ (q15_t)0x55f3, (q15_t)0x55ee, (q15_t)0x55ea, (q15_t)0x55e5, (q15_t)0x55e0, (q15_t)0x55dc, (q15_t)0x55d7, (q15_t)0x55d2,
+ (q15_t)0x55ce, (q15_t)0x55c9, (q15_t)0x55c4, (q15_t)0x55c0, (q15_t)0x55bb, (q15_t)0x55b6, (q15_t)0x55b2, (q15_t)0x55ad,
+ (q15_t)0x55a8, (q15_t)0x55a4, (q15_t)0x559f, (q15_t)0x559a, (q15_t)0x5596, (q15_t)0x5591, (q15_t)0x558c, (q15_t)0x5588,
+ (q15_t)0x5583, (q15_t)0x557e, (q15_t)0x5579, (q15_t)0x5575, (q15_t)0x5570, (q15_t)0x556b, (q15_t)0x5567, (q15_t)0x5562,
+ (q15_t)0x555d, (q15_t)0x5559, (q15_t)0x5554, (q15_t)0x554f, (q15_t)0x554b, (q15_t)0x5546, (q15_t)0x5541, (q15_t)0x553d,
+ (q15_t)0x5538, (q15_t)0x5533, (q15_t)0x552f, (q15_t)0x552a, (q15_t)0x5525, (q15_t)0x5520, (q15_t)0x551c, (q15_t)0x5517,
+ (q15_t)0x5512, (q15_t)0x550e, (q15_t)0x5509, (q15_t)0x5504, (q15_t)0x5500, (q15_t)0x54fb, (q15_t)0x54f6, (q15_t)0x54f2,
+ (q15_t)0x54ed, (q15_t)0x54e8, (q15_t)0x54e3, (q15_t)0x54df, (q15_t)0x54da, (q15_t)0x54d5, (q15_t)0x54d1, (q15_t)0x54cc,
+ (q15_t)0x54c7, (q15_t)0x54c2, (q15_t)0x54be, (q15_t)0x54b9, (q15_t)0x54b4, (q15_t)0x54b0, (q15_t)0x54ab, (q15_t)0x54a6,
+ (q15_t)0x54a2, (q15_t)0x549d, (q15_t)0x5498, (q15_t)0x5493, (q15_t)0x548f, (q15_t)0x548a, (q15_t)0x5485, (q15_t)0x5480,
+ (q15_t)0x547c, (q15_t)0x5477, (q15_t)0x5472, (q15_t)0x546e, (q15_t)0x5469, (q15_t)0x5464, (q15_t)0x545f, (q15_t)0x545b,
+ (q15_t)0x5456, (q15_t)0x5451, (q15_t)0x544d, (q15_t)0x5448, (q15_t)0x5443, (q15_t)0x543e, (q15_t)0x543a, (q15_t)0x5435,
+ (q15_t)0x5430, (q15_t)0x542b, (q15_t)0x5427, (q15_t)0x5422, (q15_t)0x541d, (q15_t)0x5418, (q15_t)0x5414, (q15_t)0x540f,
+ (q15_t)0x540a, (q15_t)0x5406, (q15_t)0x5401, (q15_t)0x53fc, (q15_t)0x53f7, (q15_t)0x53f3, (q15_t)0x53ee, (q15_t)0x53e9,
+ (q15_t)0x53e4, (q15_t)0x53e0, (q15_t)0x53db, (q15_t)0x53d6, (q15_t)0x53d1, (q15_t)0x53cd, (q15_t)0x53c8, (q15_t)0x53c3,
+ (q15_t)0x53be, (q15_t)0x53ba, (q15_t)0x53b5, (q15_t)0x53b0, (q15_t)0x53ab, (q15_t)0x53a7, (q15_t)0x53a2, (q15_t)0x539d,
+ (q15_t)0x5398, (q15_t)0x5394, (q15_t)0x538f, (q15_t)0x538a, (q15_t)0x5385, (q15_t)0x5380, (q15_t)0x537c, (q15_t)0x5377,
+ (q15_t)0x5372, (q15_t)0x536d, (q15_t)0x5369, (q15_t)0x5364, (q15_t)0x535f, (q15_t)0x535a, (q15_t)0x5356, (q15_t)0x5351,
+ (q15_t)0x534c, (q15_t)0x5347, (q15_t)0x5343, (q15_t)0x533e, (q15_t)0x5339, (q15_t)0x5334, (q15_t)0x532f, (q15_t)0x532b,
+ (q15_t)0x5326, (q15_t)0x5321, (q15_t)0x531c, (q15_t)0x5318, (q15_t)0x5313, (q15_t)0x530e, (q15_t)0x5309, (q15_t)0x5304,
+ (q15_t)0x5300, (q15_t)0x52fb, (q15_t)0x52f6, (q15_t)0x52f1, (q15_t)0x52ec, (q15_t)0x52e8, (q15_t)0x52e3, (q15_t)0x52de,
+ (q15_t)0x52d9, (q15_t)0x52d5, (q15_t)0x52d0, (q15_t)0x52cb, (q15_t)0x52c6, (q15_t)0x52c1, (q15_t)0x52bd, (q15_t)0x52b8,
+ (q15_t)0x52b3, (q15_t)0x52ae, (q15_t)0x52a9, (q15_t)0x52a5, (q15_t)0x52a0, (q15_t)0x529b, (q15_t)0x5296, (q15_t)0x5291,
+ (q15_t)0x528d, (q15_t)0x5288, (q15_t)0x5283, (q15_t)0x527e, (q15_t)0x5279, (q15_t)0x5275, (q15_t)0x5270, (q15_t)0x526b,
+ (q15_t)0x5266, (q15_t)0x5261, (q15_t)0x525d, (q15_t)0x5258, (q15_t)0x5253, (q15_t)0x524e, (q15_t)0x5249, (q15_t)0x5244,
+ (q15_t)0x5240, (q15_t)0x523b, (q15_t)0x5236, (q15_t)0x5231, (q15_t)0x522c, (q15_t)0x5228, (q15_t)0x5223, (q15_t)0x521e,
+ (q15_t)0x5219, (q15_t)0x5214, (q15_t)0x520f, (q15_t)0x520b, (q15_t)0x5206, (q15_t)0x5201, (q15_t)0x51fc, (q15_t)0x51f7,
+ (q15_t)0x51f3, (q15_t)0x51ee, (q15_t)0x51e9, (q15_t)0x51e4, (q15_t)0x51df, (q15_t)0x51da, (q15_t)0x51d6, (q15_t)0x51d1,
+ (q15_t)0x51cc, (q15_t)0x51c7, (q15_t)0x51c2, (q15_t)0x51bd, (q15_t)0x51b9, (q15_t)0x51b4, (q15_t)0x51af, (q15_t)0x51aa,
+ (q15_t)0x51a5, (q15_t)0x51a0, (q15_t)0x519c, (q15_t)0x5197, (q15_t)0x5192, (q15_t)0x518d, (q15_t)0x5188, (q15_t)0x5183,
+ (q15_t)0x517e, (q15_t)0x517a, (q15_t)0x5175, (q15_t)0x5170, (q15_t)0x516b, (q15_t)0x5166, (q15_t)0x5161, (q15_t)0x515d,
+ (q15_t)0x5158, (q15_t)0x5153, (q15_t)0x514e, (q15_t)0x5149, (q15_t)0x5144, (q15_t)0x513f, (q15_t)0x513b, (q15_t)0x5136,
+ (q15_t)0x5131, (q15_t)0x512c, (q15_t)0x5127, (q15_t)0x5122, (q15_t)0x511d, (q15_t)0x5119, (q15_t)0x5114, (q15_t)0x510f,
+ (q15_t)0x510a, (q15_t)0x5105, (q15_t)0x5100, (q15_t)0x50fb, (q15_t)0x50f7, (q15_t)0x50f2, (q15_t)0x50ed, (q15_t)0x50e8,
+ (q15_t)0x50e3, (q15_t)0x50de, (q15_t)0x50d9, (q15_t)0x50d4, (q15_t)0x50d0, (q15_t)0x50cb, (q15_t)0x50c6, (q15_t)0x50c1,
+ (q15_t)0x50bc, (q15_t)0x50b7, (q15_t)0x50b2, (q15_t)0x50ad, (q15_t)0x50a9, (q15_t)0x50a4, (q15_t)0x509f, (q15_t)0x509a,
+ (q15_t)0x5095, (q15_t)0x5090, (q15_t)0x508b, (q15_t)0x5086, (q15_t)0x5082, (q15_t)0x507d, (q15_t)0x5078, (q15_t)0x5073,
+ (q15_t)0x506e, (q15_t)0x5069, (q15_t)0x5064, (q15_t)0x505f, (q15_t)0x505a, (q15_t)0x5056, (q15_t)0x5051, (q15_t)0x504c,
+ (q15_t)0x5047, (q15_t)0x5042, (q15_t)0x503d, (q15_t)0x5038, (q15_t)0x5033, (q15_t)0x502e, (q15_t)0x5029, (q15_t)0x5025,
+ (q15_t)0x5020, (q15_t)0x501b, (q15_t)0x5016, (q15_t)0x5011, (q15_t)0x500c, (q15_t)0x5007, (q15_t)0x5002, (q15_t)0x4ffd,
+ (q15_t)0x4ff8, (q15_t)0x4ff4, (q15_t)0x4fef, (q15_t)0x4fea, (q15_t)0x4fe5, (q15_t)0x4fe0, (q15_t)0x4fdb, (q15_t)0x4fd6,
+ (q15_t)0x4fd1, (q15_t)0x4fcc, (q15_t)0x4fc7, (q15_t)0x4fc2, (q15_t)0x4fbe, (q15_t)0x4fb9, (q15_t)0x4fb4, (q15_t)0x4faf,
+ (q15_t)0x4faa, (q15_t)0x4fa5, (q15_t)0x4fa0, (q15_t)0x4f9b, (q15_t)0x4f96, (q15_t)0x4f91, (q15_t)0x4f8c, (q15_t)0x4f87,
+ (q15_t)0x4f82, (q15_t)0x4f7e, (q15_t)0x4f79, (q15_t)0x4f74, (q15_t)0x4f6f, (q15_t)0x4f6a, (q15_t)0x4f65, (q15_t)0x4f60,
+ (q15_t)0x4f5b, (q15_t)0x4f56, (q15_t)0x4f51, (q15_t)0x4f4c, (q15_t)0x4f47, (q15_t)0x4f42, (q15_t)0x4f3d, (q15_t)0x4f39,
+ (q15_t)0x4f34, (q15_t)0x4f2f, (q15_t)0x4f2a, (q15_t)0x4f25, (q15_t)0x4f20, (q15_t)0x4f1b, (q15_t)0x4f16, (q15_t)0x4f11,
+ (q15_t)0x4f0c, (q15_t)0x4f07, (q15_t)0x4f02, (q15_t)0x4efd, (q15_t)0x4ef8, (q15_t)0x4ef3, (q15_t)0x4eee, (q15_t)0x4ee9,
+ (q15_t)0x4ee5, (q15_t)0x4ee0, (q15_t)0x4edb, (q15_t)0x4ed6, (q15_t)0x4ed1, (q15_t)0x4ecc, (q15_t)0x4ec7, (q15_t)0x4ec2,
+ (q15_t)0x4ebd, (q15_t)0x4eb8, (q15_t)0x4eb3, (q15_t)0x4eae, (q15_t)0x4ea9, (q15_t)0x4ea4, (q15_t)0x4e9f, (q15_t)0x4e9a,
+ (q15_t)0x4e95, (q15_t)0x4e90, (q15_t)0x4e8b, (q15_t)0x4e86, (q15_t)0x4e81, (q15_t)0x4e7c, (q15_t)0x4e78, (q15_t)0x4e73,
+ (q15_t)0x4e6e, (q15_t)0x4e69, (q15_t)0x4e64, (q15_t)0x4e5f, (q15_t)0x4e5a, (q15_t)0x4e55, (q15_t)0x4e50, (q15_t)0x4e4b,
+ (q15_t)0x4e46, (q15_t)0x4e41, (q15_t)0x4e3c, (q15_t)0x4e37, (q15_t)0x4e32, (q15_t)0x4e2d, (q15_t)0x4e28, (q15_t)0x4e23,
+ (q15_t)0x4e1e, (q15_t)0x4e19, (q15_t)0x4e14, (q15_t)0x4e0f, (q15_t)0x4e0a, (q15_t)0x4e05, (q15_t)0x4e00, (q15_t)0x4dfb,
+ (q15_t)0x4df6, (q15_t)0x4df1, (q15_t)0x4dec, (q15_t)0x4de7, (q15_t)0x4de2, (q15_t)0x4ddd, (q15_t)0x4dd8, (q15_t)0x4dd3,
+ (q15_t)0x4dce, (q15_t)0x4dc9, (q15_t)0x4dc4, (q15_t)0x4dbf, (q15_t)0x4dba, (q15_t)0x4db5, (q15_t)0x4db0, (q15_t)0x4dab,
+ (q15_t)0x4da6, (q15_t)0x4da1, (q15_t)0x4d9c, (q15_t)0x4d97, (q15_t)0x4d92, (q15_t)0x4d8d, (q15_t)0x4d88, (q15_t)0x4d83,
+ (q15_t)0x4d7e, (q15_t)0x4d79, (q15_t)0x4d74, (q15_t)0x4d6f, (q15_t)0x4d6a, (q15_t)0x4d65, (q15_t)0x4d60, (q15_t)0x4d5b,
+ (q15_t)0x4d56, (q15_t)0x4d51, (q15_t)0x4d4c, (q15_t)0x4d47, (q15_t)0x4d42, (q15_t)0x4d3d, (q15_t)0x4d38, (q15_t)0x4d33,
+ (q15_t)0x4d2e, (q15_t)0x4d29, (q15_t)0x4d24, (q15_t)0x4d1f, (q15_t)0x4d1a, (q15_t)0x4d15, (q15_t)0x4d10, (q15_t)0x4d0b,
+ (q15_t)0x4d06, (q15_t)0x4d01, (q15_t)0x4cfc, (q15_t)0x4cf7, (q15_t)0x4cf2, (q15_t)0x4ced, (q15_t)0x4ce8, (q15_t)0x4ce3,
+ (q15_t)0x4cde, (q15_t)0x4cd9, (q15_t)0x4cd4, (q15_t)0x4ccf, (q15_t)0x4cca, (q15_t)0x4cc5, (q15_t)0x4cc0, (q15_t)0x4cbb,
+ (q15_t)0x4cb6, (q15_t)0x4cb1, (q15_t)0x4cac, (q15_t)0x4ca7, (q15_t)0x4ca2, (q15_t)0x4c9d, (q15_t)0x4c98, (q15_t)0x4c93,
+ (q15_t)0x4c8e, (q15_t)0x4c88, (q15_t)0x4c83, (q15_t)0x4c7e, (q15_t)0x4c79, (q15_t)0x4c74, (q15_t)0x4c6f, (q15_t)0x4c6a,
+ (q15_t)0x4c65, (q15_t)0x4c60, (q15_t)0x4c5b, (q15_t)0x4c56, (q15_t)0x4c51, (q15_t)0x4c4c, (q15_t)0x4c47, (q15_t)0x4c42,
+ (q15_t)0x4c3d, (q15_t)0x4c38, (q15_t)0x4c33, (q15_t)0x4c2e, (q15_t)0x4c29, (q15_t)0x4c24, (q15_t)0x4c1f, (q15_t)0x4c1a,
+ (q15_t)0x4c14, (q15_t)0x4c0f, (q15_t)0x4c0a, (q15_t)0x4c05, (q15_t)0x4c00, (q15_t)0x4bfb, (q15_t)0x4bf6, (q15_t)0x4bf1,
+ (q15_t)0x4bec, (q15_t)0x4be7, (q15_t)0x4be2, (q15_t)0x4bdd, (q15_t)0x4bd8, (q15_t)0x4bd3, (q15_t)0x4bce, (q15_t)0x4bc9,
+ (q15_t)0x4bc4, (q15_t)0x4bbe, (q15_t)0x4bb9, (q15_t)0x4bb4, (q15_t)0x4baf, (q15_t)0x4baa, (q15_t)0x4ba5, (q15_t)0x4ba0,
+ (q15_t)0x4b9b, (q15_t)0x4b96, (q15_t)0x4b91, (q15_t)0x4b8c, (q15_t)0x4b87, (q15_t)0x4b82, (q15_t)0x4b7d, (q15_t)0x4b77,
+ (q15_t)0x4b72, (q15_t)0x4b6d, (q15_t)0x4b68, (q15_t)0x4b63, (q15_t)0x4b5e, (q15_t)0x4b59, (q15_t)0x4b54, (q15_t)0x4b4f,
+ (q15_t)0x4b4a, (q15_t)0x4b45, (q15_t)0x4b40, (q15_t)0x4b3b, (q15_t)0x4b35, (q15_t)0x4b30, (q15_t)0x4b2b, (q15_t)0x4b26,
+ (q15_t)0x4b21, (q15_t)0x4b1c, (q15_t)0x4b17, (q15_t)0x4b12, (q15_t)0x4b0d, (q15_t)0x4b08, (q15_t)0x4b03, (q15_t)0x4afd,
+ (q15_t)0x4af8, (q15_t)0x4af3, (q15_t)0x4aee, (q15_t)0x4ae9, (q15_t)0x4ae4, (q15_t)0x4adf, (q15_t)0x4ada, (q15_t)0x4ad5,
+ (q15_t)0x4ad0, (q15_t)0x4acb, (q15_t)0x4ac5, (q15_t)0x4ac0, (q15_t)0x4abb, (q15_t)0x4ab6, (q15_t)0x4ab1, (q15_t)0x4aac,
+ (q15_t)0x4aa7, (q15_t)0x4aa2, (q15_t)0x4a9d, (q15_t)0x4a97, (q15_t)0x4a92, (q15_t)0x4a8d, (q15_t)0x4a88, (q15_t)0x4a83,
+ (q15_t)0x4a7e, (q15_t)0x4a79, (q15_t)0x4a74, (q15_t)0x4a6f, (q15_t)0x4a6a, (q15_t)0x4a64, (q15_t)0x4a5f, (q15_t)0x4a5a,
+ (q15_t)0x4a55, (q15_t)0x4a50, (q15_t)0x4a4b, (q15_t)0x4a46, (q15_t)0x4a41, (q15_t)0x4a3b, (q15_t)0x4a36, (q15_t)0x4a31,
+ (q15_t)0x4a2c, (q15_t)0x4a27, (q15_t)0x4a22, (q15_t)0x4a1d, (q15_t)0x4a18, (q15_t)0x4a12, (q15_t)0x4a0d, (q15_t)0x4a08,
+ (q15_t)0x4a03, (q15_t)0x49fe, (q15_t)0x49f9, (q15_t)0x49f4, (q15_t)0x49ef, (q15_t)0x49e9, (q15_t)0x49e4, (q15_t)0x49df,
+ (q15_t)0x49da, (q15_t)0x49d5, (q15_t)0x49d0, (q15_t)0x49cb, (q15_t)0x49c6, (q15_t)0x49c0, (q15_t)0x49bb, (q15_t)0x49b6,
+ (q15_t)0x49b1, (q15_t)0x49ac, (q15_t)0x49a7, (q15_t)0x49a2, (q15_t)0x499c, (q15_t)0x4997, (q15_t)0x4992, (q15_t)0x498d,
+ (q15_t)0x4988, (q15_t)0x4983, (q15_t)0x497e, (q15_t)0x4978, (q15_t)0x4973, (q15_t)0x496e, (q15_t)0x4969, (q15_t)0x4964,
+ (q15_t)0x495f, (q15_t)0x495a, (q15_t)0x4954, (q15_t)0x494f, (q15_t)0x494a, (q15_t)0x4945, (q15_t)0x4940, (q15_t)0x493b,
+ (q15_t)0x4936, (q15_t)0x4930, (q15_t)0x492b, (q15_t)0x4926, (q15_t)0x4921, (q15_t)0x491c, (q15_t)0x4917, (q15_t)0x4911,
+ (q15_t)0x490c, (q15_t)0x4907, (q15_t)0x4902, (q15_t)0x48fd, (q15_t)0x48f8, (q15_t)0x48f2, (q15_t)0x48ed, (q15_t)0x48e8,
+ (q15_t)0x48e3, (q15_t)0x48de, (q15_t)0x48d9, (q15_t)0x48d3, (q15_t)0x48ce, (q15_t)0x48c9, (q15_t)0x48c4, (q15_t)0x48bf,
+ (q15_t)0x48ba, (q15_t)0x48b4, (q15_t)0x48af, (q15_t)0x48aa, (q15_t)0x48a5, (q15_t)0x48a0, (q15_t)0x489b, (q15_t)0x4895,
+ (q15_t)0x4890, (q15_t)0x488b, (q15_t)0x4886, (q15_t)0x4881, (q15_t)0x487c, (q15_t)0x4876, (q15_t)0x4871, (q15_t)0x486c,
+ (q15_t)0x4867, (q15_t)0x4862, (q15_t)0x485c, (q15_t)0x4857, (q15_t)0x4852, (q15_t)0x484d, (q15_t)0x4848, (q15_t)0x4843,
+ (q15_t)0x483d, (q15_t)0x4838, (q15_t)0x4833, (q15_t)0x482e, (q15_t)0x4829, (q15_t)0x4823, (q15_t)0x481e, (q15_t)0x4819,
+ (q15_t)0x4814, (q15_t)0x480f, (q15_t)0x4809, (q15_t)0x4804, (q15_t)0x47ff, (q15_t)0x47fa, (q15_t)0x47f5, (q15_t)0x47ef,
+ (q15_t)0x47ea, (q15_t)0x47e5, (q15_t)0x47e0, (q15_t)0x47db, (q15_t)0x47d5, (q15_t)0x47d0, (q15_t)0x47cb, (q15_t)0x47c6,
+ (q15_t)0x47c1, (q15_t)0x47bb, (q15_t)0x47b6, (q15_t)0x47b1, (q15_t)0x47ac, (q15_t)0x47a7, (q15_t)0x47a1, (q15_t)0x479c,
+ (q15_t)0x4797, (q15_t)0x4792, (q15_t)0x478d, (q15_t)0x4787, (q15_t)0x4782, (q15_t)0x477d, (q15_t)0x4778, (q15_t)0x4773,
+ (q15_t)0x476d, (q15_t)0x4768, (q15_t)0x4763, (q15_t)0x475e, (q15_t)0x4758, (q15_t)0x4753, (q15_t)0x474e, (q15_t)0x4749,
+ (q15_t)0x4744, (q15_t)0x473e, (q15_t)0x4739, (q15_t)0x4734, (q15_t)0x472f, (q15_t)0x4729, (q15_t)0x4724, (q15_t)0x471f,
+ (q15_t)0x471a, (q15_t)0x4715, (q15_t)0x470f, (q15_t)0x470a, (q15_t)0x4705, (q15_t)0x4700, (q15_t)0x46fa, (q15_t)0x46f5,
+ (q15_t)0x46f0, (q15_t)0x46eb, (q15_t)0x46e6, (q15_t)0x46e0, (q15_t)0x46db, (q15_t)0x46d6, (q15_t)0x46d1, (q15_t)0x46cb,
+ (q15_t)0x46c6, (q15_t)0x46c1, (q15_t)0x46bc, (q15_t)0x46b6, (q15_t)0x46b1, (q15_t)0x46ac, (q15_t)0x46a7, (q15_t)0x46a1,
+ (q15_t)0x469c, (q15_t)0x4697, (q15_t)0x4692, (q15_t)0x468d, (q15_t)0x4687, (q15_t)0x4682, (q15_t)0x467d, (q15_t)0x4678,
+ (q15_t)0x4672, (q15_t)0x466d, (q15_t)0x4668, (q15_t)0x4663, (q15_t)0x465d, (q15_t)0x4658, (q15_t)0x4653, (q15_t)0x464e,
+ (q15_t)0x4648, (q15_t)0x4643, (q15_t)0x463e, (q15_t)0x4639, (q15_t)0x4633, (q15_t)0x462e, (q15_t)0x4629, (q15_t)0x4624,
+ (q15_t)0x461e, (q15_t)0x4619, (q15_t)0x4614, (q15_t)0x460e, (q15_t)0x4609, (q15_t)0x4604, (q15_t)0x45ff, (q15_t)0x45f9,
+ (q15_t)0x45f4, (q15_t)0x45ef, (q15_t)0x45ea, (q15_t)0x45e4, (q15_t)0x45df, (q15_t)0x45da, (q15_t)0x45d5, (q15_t)0x45cf,
+ (q15_t)0x45ca, (q15_t)0x45c5, (q15_t)0x45c0, (q15_t)0x45ba, (q15_t)0x45b5, (q15_t)0x45b0, (q15_t)0x45aa, (q15_t)0x45a5,
+ (q15_t)0x45a0, (q15_t)0x459b, (q15_t)0x4595, (q15_t)0x4590, (q15_t)0x458b, (q15_t)0x4586, (q15_t)0x4580, (q15_t)0x457b,
+ (q15_t)0x4576, (q15_t)0x4570, (q15_t)0x456b, (q15_t)0x4566, (q15_t)0x4561, (q15_t)0x455b, (q15_t)0x4556, (q15_t)0x4551,
+ (q15_t)0x454b, (q15_t)0x4546, (q15_t)0x4541, (q15_t)0x453c, (q15_t)0x4536, (q15_t)0x4531, (q15_t)0x452c, (q15_t)0x4526,
+ (q15_t)0x4521, (q15_t)0x451c, (q15_t)0x4517, (q15_t)0x4511, (q15_t)0x450c, (q15_t)0x4507, (q15_t)0x4501, (q15_t)0x44fc,
+ (q15_t)0x44f7, (q15_t)0x44f2, (q15_t)0x44ec, (q15_t)0x44e7, (q15_t)0x44e2, (q15_t)0x44dc, (q15_t)0x44d7, (q15_t)0x44d2,
+ (q15_t)0x44cd, (q15_t)0x44c7, (q15_t)0x44c2, (q15_t)0x44bd, (q15_t)0x44b7, (q15_t)0x44b2, (q15_t)0x44ad, (q15_t)0x44a7,
+ (q15_t)0x44a2, (q15_t)0x449d, (q15_t)0x4497, (q15_t)0x4492, (q15_t)0x448d, (q15_t)0x4488, (q15_t)0x4482, (q15_t)0x447d,
+ (q15_t)0x4478, (q15_t)0x4472, (q15_t)0x446d, (q15_t)0x4468, (q15_t)0x4462, (q15_t)0x445d, (q15_t)0x4458, (q15_t)0x4452,
+ (q15_t)0x444d, (q15_t)0x4448, (q15_t)0x4443, (q15_t)0x443d, (q15_t)0x4438, (q15_t)0x4433, (q15_t)0x442d, (q15_t)0x4428,
+ (q15_t)0x4423, (q15_t)0x441d, (q15_t)0x4418, (q15_t)0x4413, (q15_t)0x440d, (q15_t)0x4408, (q15_t)0x4403, (q15_t)0x43fd,
+ (q15_t)0x43f8, (q15_t)0x43f3, (q15_t)0x43ed, (q15_t)0x43e8, (q15_t)0x43e3, (q15_t)0x43dd, (q15_t)0x43d8, (q15_t)0x43d3,
+ (q15_t)0x43cd, (q15_t)0x43c8, (q15_t)0x43c3, (q15_t)0x43bd, (q15_t)0x43b8, (q15_t)0x43b3, (q15_t)0x43ad, (q15_t)0x43a8,
+ (q15_t)0x43a3, (q15_t)0x439d, (q15_t)0x4398, (q15_t)0x4393, (q15_t)0x438d, (q15_t)0x4388, (q15_t)0x4383, (q15_t)0x437d,
+ (q15_t)0x4378, (q15_t)0x4373, (q15_t)0x436d, (q15_t)0x4368, (q15_t)0x4363, (q15_t)0x435d, (q15_t)0x4358, (q15_t)0x4353,
+ (q15_t)0x434d, (q15_t)0x4348, (q15_t)0x4343, (q15_t)0x433d, (q15_t)0x4338, (q15_t)0x4333, (q15_t)0x432d, (q15_t)0x4328,
+ (q15_t)0x4323, (q15_t)0x431d, (q15_t)0x4318, (q15_t)0x4313, (q15_t)0x430d, (q15_t)0x4308, (q15_t)0x4302, (q15_t)0x42fd,
+ (q15_t)0x42f8, (q15_t)0x42f2, (q15_t)0x42ed, (q15_t)0x42e8, (q15_t)0x42e2, (q15_t)0x42dd, (q15_t)0x42d8, (q15_t)0x42d2,
+ (q15_t)0x42cd, (q15_t)0x42c8, (q15_t)0x42c2, (q15_t)0x42bd, (q15_t)0x42b7, (q15_t)0x42b2, (q15_t)0x42ad, (q15_t)0x42a7,
+ (q15_t)0x42a2, (q15_t)0x429d, (q15_t)0x4297, (q15_t)0x4292, (q15_t)0x428d, (q15_t)0x4287, (q15_t)0x4282, (q15_t)0x427c,
+ (q15_t)0x4277, (q15_t)0x4272, (q15_t)0x426c, (q15_t)0x4267, (q15_t)0x4262, (q15_t)0x425c, (q15_t)0x4257, (q15_t)0x4251,
+ (q15_t)0x424c, (q15_t)0x4247, (q15_t)0x4241, (q15_t)0x423c, (q15_t)0x4237, (q15_t)0x4231, (q15_t)0x422c, (q15_t)0x4226,
+ (q15_t)0x4221, (q15_t)0x421c, (q15_t)0x4216, (q15_t)0x4211, (q15_t)0x420c, (q15_t)0x4206, (q15_t)0x4201, (q15_t)0x41fb,
+ (q15_t)0x41f6, (q15_t)0x41f1, (q15_t)0x41eb, (q15_t)0x41e6, (q15_t)0x41e0, (q15_t)0x41db, (q15_t)0x41d6, (q15_t)0x41d0,
+ (q15_t)0x41cb, (q15_t)0x41c6, (q15_t)0x41c0, (q15_t)0x41bb, (q15_t)0x41b5, (q15_t)0x41b0, (q15_t)0x41ab, (q15_t)0x41a5,
+ (q15_t)0x41a0, (q15_t)0x419a, (q15_t)0x4195, (q15_t)0x4190, (q15_t)0x418a, (q15_t)0x4185, (q15_t)0x417f, (q15_t)0x417a,
+ (q15_t)0x4175, (q15_t)0x416f, (q15_t)0x416a, (q15_t)0x4164, (q15_t)0x415f, (q15_t)0x415a, (q15_t)0x4154, (q15_t)0x414f,
+ (q15_t)0x4149, (q15_t)0x4144, (q15_t)0x413f, (q15_t)0x4139, (q15_t)0x4134, (q15_t)0x412e, (q15_t)0x4129, (q15_t)0x4124,
+ (q15_t)0x411e, (q15_t)0x4119, (q15_t)0x4113, (q15_t)0x410e, (q15_t)0x4108, (q15_t)0x4103, (q15_t)0x40fe, (q15_t)0x40f8,
+ (q15_t)0x40f3, (q15_t)0x40ed, (q15_t)0x40e8, (q15_t)0x40e3, (q15_t)0x40dd, (q15_t)0x40d8, (q15_t)0x40d2, (q15_t)0x40cd,
+ (q15_t)0x40c8, (q15_t)0x40c2, (q15_t)0x40bd, (q15_t)0x40b7, (q15_t)0x40b2, (q15_t)0x40ac, (q15_t)0x40a7, (q15_t)0x40a2,
+ (q15_t)0x409c, (q15_t)0x4097, (q15_t)0x4091, (q15_t)0x408c, (q15_t)0x4086, (q15_t)0x4081, (q15_t)0x407c, (q15_t)0x4076,
+ (q15_t)0x4071, (q15_t)0x406b, (q15_t)0x4066, (q15_t)0x4060, (q15_t)0x405b, (q15_t)0x4056, (q15_t)0x4050, (q15_t)0x404b,
+ (q15_t)0x4045, (q15_t)0x4040, (q15_t)0x403a, (q15_t)0x4035, (q15_t)0x4030, (q15_t)0x402a, (q15_t)0x4025, (q15_t)0x401f,
+ (q15_t)0x401a, (q15_t)0x4014, (q15_t)0x400f, (q15_t)0x4009, (q15_t)0x4004, (q15_t)0x3fff, (q15_t)0x3ff9, (q15_t)0x3ff4,
+ (q15_t)0x3fee, (q15_t)0x3fe9, (q15_t)0x3fe3, (q15_t)0x3fde, (q15_t)0x3fd8, (q15_t)0x3fd3, (q15_t)0x3fce, (q15_t)0x3fc8,
+ (q15_t)0x3fc3, (q15_t)0x3fbd, (q15_t)0x3fb8, (q15_t)0x3fb2, (q15_t)0x3fad, (q15_t)0x3fa7, (q15_t)0x3fa2, (q15_t)0x3f9d,
+ (q15_t)0x3f97, (q15_t)0x3f92, (q15_t)0x3f8c, (q15_t)0x3f87, (q15_t)0x3f81, (q15_t)0x3f7c, (q15_t)0x3f76, (q15_t)0x3f71,
+ (q15_t)0x3f6b, (q15_t)0x3f66, (q15_t)0x3f61, (q15_t)0x3f5b, (q15_t)0x3f56, (q15_t)0x3f50, (q15_t)0x3f4b, (q15_t)0x3f45,
+ (q15_t)0x3f40, (q15_t)0x3f3a, (q15_t)0x3f35, (q15_t)0x3f2f, (q15_t)0x3f2a, (q15_t)0x3f24, (q15_t)0x3f1f, (q15_t)0x3f1a,
+ (q15_t)0x3f14, (q15_t)0x3f0f, (q15_t)0x3f09, (q15_t)0x3f04, (q15_t)0x3efe, (q15_t)0x3ef9, (q15_t)0x3ef3, (q15_t)0x3eee,
+ (q15_t)0x3ee8, (q15_t)0x3ee3, (q15_t)0x3edd, (q15_t)0x3ed8, (q15_t)0x3ed2, (q15_t)0x3ecd, (q15_t)0x3ec7, (q15_t)0x3ec2,
+ (q15_t)0x3ebd, (q15_t)0x3eb7, (q15_t)0x3eb2, (q15_t)0x3eac, (q15_t)0x3ea7, (q15_t)0x3ea1, (q15_t)0x3e9c, (q15_t)0x3e96,
+ (q15_t)0x3e91, (q15_t)0x3e8b, (q15_t)0x3e86, (q15_t)0x3e80, (q15_t)0x3e7b, (q15_t)0x3e75, (q15_t)0x3e70, (q15_t)0x3e6a,
+ (q15_t)0x3e65, (q15_t)0x3e5f, (q15_t)0x3e5a, (q15_t)0x3e54, (q15_t)0x3e4f, (q15_t)0x3e49, (q15_t)0x3e44, (q15_t)0x3e3e,
+ (q15_t)0x3e39, (q15_t)0x3e33, (q15_t)0x3e2e, (q15_t)0x3e28, (q15_t)0x3e23, (q15_t)0x3e1d, (q15_t)0x3e18, (q15_t)0x3e12,
+ (q15_t)0x3e0d, (q15_t)0x3e07, (q15_t)0x3e02, (q15_t)0x3dfc, (q15_t)0x3df7, (q15_t)0x3df1, (q15_t)0x3dec, (q15_t)0x3de6,
+ (q15_t)0x3de1, (q15_t)0x3ddb, (q15_t)0x3dd6, (q15_t)0x3dd0, (q15_t)0x3dcb, (q15_t)0x3dc5, (q15_t)0x3dc0, (q15_t)0x3dba,
+ (q15_t)0x3db5, (q15_t)0x3daf, (q15_t)0x3daa, (q15_t)0x3da4, (q15_t)0x3d9f, (q15_t)0x3d99, (q15_t)0x3d94, (q15_t)0x3d8e,
+ (q15_t)0x3d89, (q15_t)0x3d83, (q15_t)0x3d7e, (q15_t)0x3d78, (q15_t)0x3d73, (q15_t)0x3d6d, (q15_t)0x3d68, (q15_t)0x3d62,
+ (q15_t)0x3d5d, (q15_t)0x3d57, (q15_t)0x3d52, (q15_t)0x3d4c, (q15_t)0x3d47, (q15_t)0x3d41, (q15_t)0x3d3c, (q15_t)0x3d36,
+ (q15_t)0x3d31, (q15_t)0x3d2b, (q15_t)0x3d26, (q15_t)0x3d20, (q15_t)0x3d1b, (q15_t)0x3d15, (q15_t)0x3d10, (q15_t)0x3d0a,
+ (q15_t)0x3d04, (q15_t)0x3cff, (q15_t)0x3cf9, (q15_t)0x3cf4, (q15_t)0x3cee, (q15_t)0x3ce9, (q15_t)0x3ce3, (q15_t)0x3cde,
+ (q15_t)0x3cd8, (q15_t)0x3cd3, (q15_t)0x3ccd, (q15_t)0x3cc8, (q15_t)0x3cc2, (q15_t)0x3cbd, (q15_t)0x3cb7, (q15_t)0x3cb2,
+ (q15_t)0x3cac, (q15_t)0x3ca7, (q15_t)0x3ca1, (q15_t)0x3c9b, (q15_t)0x3c96, (q15_t)0x3c90, (q15_t)0x3c8b, (q15_t)0x3c85,
+ (q15_t)0x3c80, (q15_t)0x3c7a, (q15_t)0x3c75, (q15_t)0x3c6f, (q15_t)0x3c6a, (q15_t)0x3c64, (q15_t)0x3c5f, (q15_t)0x3c59,
+ (q15_t)0x3c53, (q15_t)0x3c4e, (q15_t)0x3c48, (q15_t)0x3c43, (q15_t)0x3c3d, (q15_t)0x3c38, (q15_t)0x3c32, (q15_t)0x3c2d,
+ (q15_t)0x3c27, (q15_t)0x3c22, (q15_t)0x3c1c, (q15_t)0x3c16, (q15_t)0x3c11, (q15_t)0x3c0b, (q15_t)0x3c06, (q15_t)0x3c00,
+ (q15_t)0x3bfb, (q15_t)0x3bf5, (q15_t)0x3bf0, (q15_t)0x3bea, (q15_t)0x3be5, (q15_t)0x3bdf, (q15_t)0x3bd9, (q15_t)0x3bd4,
+ (q15_t)0x3bce, (q15_t)0x3bc9, (q15_t)0x3bc3, (q15_t)0x3bbe, (q15_t)0x3bb8, (q15_t)0x3bb3, (q15_t)0x3bad, (q15_t)0x3ba7,
+ (q15_t)0x3ba2, (q15_t)0x3b9c, (q15_t)0x3b97, (q15_t)0x3b91, (q15_t)0x3b8c, (q15_t)0x3b86, (q15_t)0x3b80, (q15_t)0x3b7b,
+ (q15_t)0x3b75, (q15_t)0x3b70, (q15_t)0x3b6a, (q15_t)0x3b65, (q15_t)0x3b5f, (q15_t)0x3b5a, (q15_t)0x3b54, (q15_t)0x3b4e,
+ (q15_t)0x3b49, (q15_t)0x3b43, (q15_t)0x3b3e, (q15_t)0x3b38, (q15_t)0x3b33, (q15_t)0x3b2d, (q15_t)0x3b27, (q15_t)0x3b22,
+ (q15_t)0x3b1c, (q15_t)0x3b17, (q15_t)0x3b11, (q15_t)0x3b0c, (q15_t)0x3b06, (q15_t)0x3b00, (q15_t)0x3afb, (q15_t)0x3af5,
+ (q15_t)0x3af0, (q15_t)0x3aea, (q15_t)0x3ae4, (q15_t)0x3adf, (q15_t)0x3ad9, (q15_t)0x3ad4, (q15_t)0x3ace, (q15_t)0x3ac9,
+ (q15_t)0x3ac3, (q15_t)0x3abd, (q15_t)0x3ab8, (q15_t)0x3ab2, (q15_t)0x3aad, (q15_t)0x3aa7, (q15_t)0x3aa2, (q15_t)0x3a9c,
+ (q15_t)0x3a96, (q15_t)0x3a91, (q15_t)0x3a8b, (q15_t)0x3a86, (q15_t)0x3a80, (q15_t)0x3a7a, (q15_t)0x3a75, (q15_t)0x3a6f,
+ (q15_t)0x3a6a, (q15_t)0x3a64, (q15_t)0x3a5e, (q15_t)0x3a59, (q15_t)0x3a53, (q15_t)0x3a4e, (q15_t)0x3a48, (q15_t)0x3a42,
+ (q15_t)0x3a3d, (q15_t)0x3a37, (q15_t)0x3a32, (q15_t)0x3a2c, (q15_t)0x3a26, (q15_t)0x3a21, (q15_t)0x3a1b, (q15_t)0x3a16,
+ (q15_t)0x3a10, (q15_t)0x3a0b, (q15_t)0x3a05, (q15_t)0x39ff, (q15_t)0x39fa, (q15_t)0x39f4, (q15_t)0x39ee, (q15_t)0x39e9,
+ (q15_t)0x39e3, (q15_t)0x39de, (q15_t)0x39d8, (q15_t)0x39d2, (q15_t)0x39cd, (q15_t)0x39c7, (q15_t)0x39c2, (q15_t)0x39bc,
+ (q15_t)0x39b6, (q15_t)0x39b1, (q15_t)0x39ab, (q15_t)0x39a6, (q15_t)0x39a0, (q15_t)0x399a, (q15_t)0x3995, (q15_t)0x398f,
+ (q15_t)0x398a, (q15_t)0x3984, (q15_t)0x397e, (q15_t)0x3979, (q15_t)0x3973, (q15_t)0x396d, (q15_t)0x3968, (q15_t)0x3962,
+ (q15_t)0x395d, (q15_t)0x3957, (q15_t)0x3951, (q15_t)0x394c, (q15_t)0x3946, (q15_t)0x3941, (q15_t)0x393b, (q15_t)0x3935,
+ (q15_t)0x3930, (q15_t)0x392a, (q15_t)0x3924, (q15_t)0x391f, (q15_t)0x3919, (q15_t)0x3914, (q15_t)0x390e, (q15_t)0x3908,
+ (q15_t)0x3903, (q15_t)0x38fd, (q15_t)0x38f7, (q15_t)0x38f2, (q15_t)0x38ec, (q15_t)0x38e7, (q15_t)0x38e1, (q15_t)0x38db,
+ (q15_t)0x38d6, (q15_t)0x38d0, (q15_t)0x38ca, (q15_t)0x38c5, (q15_t)0x38bf, (q15_t)0x38ba, (q15_t)0x38b4, (q15_t)0x38ae,
+ (q15_t)0x38a9, (q15_t)0x38a3, (q15_t)0x389d, (q15_t)0x3898, (q15_t)0x3892, (q15_t)0x388c, (q15_t)0x3887, (q15_t)0x3881,
+ (q15_t)0x387c, (q15_t)0x3876, (q15_t)0x3870, (q15_t)0x386b, (q15_t)0x3865, (q15_t)0x385f, (q15_t)0x385a, (q15_t)0x3854,
+ (q15_t)0x384e, (q15_t)0x3849, (q15_t)0x3843, (q15_t)0x383d, (q15_t)0x3838, (q15_t)0x3832, (q15_t)0x382d, (q15_t)0x3827,
+ (q15_t)0x3821, (q15_t)0x381c, (q15_t)0x3816, (q15_t)0x3810, (q15_t)0x380b, (q15_t)0x3805, (q15_t)0x37ff, (q15_t)0x37fa,
+ (q15_t)0x37f4, (q15_t)0x37ee, (q15_t)0x37e9, (q15_t)0x37e3, (q15_t)0x37dd, (q15_t)0x37d8, (q15_t)0x37d2, (q15_t)0x37cc,
+ (q15_t)0x37c7, (q15_t)0x37c1, (q15_t)0x37bc, (q15_t)0x37b6, (q15_t)0x37b0, (q15_t)0x37ab, (q15_t)0x37a5, (q15_t)0x379f,
+ (q15_t)0x379a, (q15_t)0x3794, (q15_t)0x378e, (q15_t)0x3789, (q15_t)0x3783, (q15_t)0x377d, (q15_t)0x3778, (q15_t)0x3772,
+ (q15_t)0x376c, (q15_t)0x3767, (q15_t)0x3761, (q15_t)0x375b, (q15_t)0x3756, (q15_t)0x3750, (q15_t)0x374a, (q15_t)0x3745,
+ (q15_t)0x373f, (q15_t)0x3739, (q15_t)0x3734, (q15_t)0x372e, (q15_t)0x3728, (q15_t)0x3723, (q15_t)0x371d, (q15_t)0x3717,
+ (q15_t)0x3712, (q15_t)0x370c, (q15_t)0x3706, (q15_t)0x3701, (q15_t)0x36fb, (q15_t)0x36f5, (q15_t)0x36f0, (q15_t)0x36ea,
+ (q15_t)0x36e4, (q15_t)0x36df, (q15_t)0x36d9, (q15_t)0x36d3, (q15_t)0x36ce, (q15_t)0x36c8, (q15_t)0x36c2, (q15_t)0x36bc,
+ (q15_t)0x36b7, (q15_t)0x36b1, (q15_t)0x36ab, (q15_t)0x36a6, (q15_t)0x36a0, (q15_t)0x369a, (q15_t)0x3695, (q15_t)0x368f,
+ (q15_t)0x3689, (q15_t)0x3684, (q15_t)0x367e, (q15_t)0x3678, (q15_t)0x3673, (q15_t)0x366d, (q15_t)0x3667, (q15_t)0x3662,
+ (q15_t)0x365c, (q15_t)0x3656, (q15_t)0x3650, (q15_t)0x364b, (q15_t)0x3645, (q15_t)0x363f, (q15_t)0x363a, (q15_t)0x3634,
+ (q15_t)0x362e, (q15_t)0x3629, (q15_t)0x3623, (q15_t)0x361d, (q15_t)0x3618, (q15_t)0x3612, (q15_t)0x360c, (q15_t)0x3606,
+ (q15_t)0x3601, (q15_t)0x35fb, (q15_t)0x35f5, (q15_t)0x35f0, (q15_t)0x35ea, (q15_t)0x35e4, (q15_t)0x35df, (q15_t)0x35d9,
+ (q15_t)0x35d3, (q15_t)0x35cd, (q15_t)0x35c8, (q15_t)0x35c2, (q15_t)0x35bc, (q15_t)0x35b7, (q15_t)0x35b1, (q15_t)0x35ab,
+ (q15_t)0x35a6, (q15_t)0x35a0, (q15_t)0x359a, (q15_t)0x3594, (q15_t)0x358f, (q15_t)0x3589, (q15_t)0x3583, (q15_t)0x357e,
+ (q15_t)0x3578, (q15_t)0x3572, (q15_t)0x356c, (q15_t)0x3567, (q15_t)0x3561, (q15_t)0x355b, (q15_t)0x3556, (q15_t)0x3550,
+ (q15_t)0x354a, (q15_t)0x3544, (q15_t)0x353f, (q15_t)0x3539, (q15_t)0x3533, (q15_t)0x352e, (q15_t)0x3528, (q15_t)0x3522,
+ (q15_t)0x351c, (q15_t)0x3517, (q15_t)0x3511, (q15_t)0x350b, (q15_t)0x3506, (q15_t)0x3500, (q15_t)0x34fa, (q15_t)0x34f4,
+ (q15_t)0x34ef, (q15_t)0x34e9, (q15_t)0x34e3, (q15_t)0x34de, (q15_t)0x34d8, (q15_t)0x34d2, (q15_t)0x34cc, (q15_t)0x34c7,
+ (q15_t)0x34c1, (q15_t)0x34bb, (q15_t)0x34b6, (q15_t)0x34b0, (q15_t)0x34aa, (q15_t)0x34a4, (q15_t)0x349f, (q15_t)0x3499,
+ (q15_t)0x3493, (q15_t)0x348d, (q15_t)0x3488, (q15_t)0x3482, (q15_t)0x347c, (q15_t)0x3476, (q15_t)0x3471, (q15_t)0x346b,
+ (q15_t)0x3465, (q15_t)0x3460, (q15_t)0x345a, (q15_t)0x3454, (q15_t)0x344e, (q15_t)0x3449, (q15_t)0x3443, (q15_t)0x343d,
+ (q15_t)0x3437, (q15_t)0x3432, (q15_t)0x342c, (q15_t)0x3426, (q15_t)0x3420, (q15_t)0x341b, (q15_t)0x3415, (q15_t)0x340f,
+ (q15_t)0x340a, (q15_t)0x3404, (q15_t)0x33fe, (q15_t)0x33f8, (q15_t)0x33f3, (q15_t)0x33ed, (q15_t)0x33e7, (q15_t)0x33e1,
+ (q15_t)0x33dc, (q15_t)0x33d6, (q15_t)0x33d0, (q15_t)0x33ca, (q15_t)0x33c5, (q15_t)0x33bf, (q15_t)0x33b9, (q15_t)0x33b3,
+ (q15_t)0x33ae, (q15_t)0x33a8, (q15_t)0x33a2, (q15_t)0x339c, (q15_t)0x3397, (q15_t)0x3391, (q15_t)0x338b, (q15_t)0x3385,
+ (q15_t)0x3380, (q15_t)0x337a, (q15_t)0x3374, (q15_t)0x336e, (q15_t)0x3369, (q15_t)0x3363, (q15_t)0x335d, (q15_t)0x3357,
+ (q15_t)0x3352, (q15_t)0x334c, (q15_t)0x3346, (q15_t)0x3340, (q15_t)0x333b, (q15_t)0x3335, (q15_t)0x332f, (q15_t)0x3329,
+ (q15_t)0x3324, (q15_t)0x331e, (q15_t)0x3318, (q15_t)0x3312, (q15_t)0x330c, (q15_t)0x3307, (q15_t)0x3301, (q15_t)0x32fb,
+ (q15_t)0x32f5, (q15_t)0x32f0, (q15_t)0x32ea, (q15_t)0x32e4, (q15_t)0x32de, (q15_t)0x32d9, (q15_t)0x32d3, (q15_t)0x32cd,
+ (q15_t)0x32c7, (q15_t)0x32c2, (q15_t)0x32bc, (q15_t)0x32b6, (q15_t)0x32b0, (q15_t)0x32aa, (q15_t)0x32a5, (q15_t)0x329f,
+ (q15_t)0x3299, (q15_t)0x3293, (q15_t)0x328e, (q15_t)0x3288, (q15_t)0x3282, (q15_t)0x327c, (q15_t)0x3276, (q15_t)0x3271,
+ (q15_t)0x326b, (q15_t)0x3265, (q15_t)0x325f, (q15_t)0x325a, (q15_t)0x3254, (q15_t)0x324e, (q15_t)0x3248, (q15_t)0x3243,
+ (q15_t)0x323d, (q15_t)0x3237, (q15_t)0x3231, (q15_t)0x322b, (q15_t)0x3226, (q15_t)0x3220, (q15_t)0x321a, (q15_t)0x3214,
+ (q15_t)0x320e, (q15_t)0x3209, (q15_t)0x3203, (q15_t)0x31fd, (q15_t)0x31f7, (q15_t)0x31f2, (q15_t)0x31ec, (q15_t)0x31e6,
+ (q15_t)0x31e0, (q15_t)0x31da, (q15_t)0x31d5, (q15_t)0x31cf, (q15_t)0x31c9, (q15_t)0x31c3, (q15_t)0x31bd, (q15_t)0x31b8,
+ (q15_t)0x31b2, (q15_t)0x31ac, (q15_t)0x31a6, (q15_t)0x31a1, (q15_t)0x319b, (q15_t)0x3195, (q15_t)0x318f, (q15_t)0x3189,
+ (q15_t)0x3184, (q15_t)0x317e, (q15_t)0x3178, (q15_t)0x3172, (q15_t)0x316c, (q15_t)0x3167, (q15_t)0x3161, (q15_t)0x315b,
+ (q15_t)0x3155, (q15_t)0x314f, (q15_t)0x314a, (q15_t)0x3144, (q15_t)0x313e, (q15_t)0x3138, (q15_t)0x3132, (q15_t)0x312d,
+ (q15_t)0x3127, (q15_t)0x3121, (q15_t)0x311b, (q15_t)0x3115, (q15_t)0x3110, (q15_t)0x310a, (q15_t)0x3104, (q15_t)0x30fe,
+ (q15_t)0x30f8, (q15_t)0x30f3, (q15_t)0x30ed, (q15_t)0x30e7, (q15_t)0x30e1, (q15_t)0x30db, (q15_t)0x30d6, (q15_t)0x30d0,
+ (q15_t)0x30ca, (q15_t)0x30c4, (q15_t)0x30be, (q15_t)0x30b8, (q15_t)0x30b3, (q15_t)0x30ad, (q15_t)0x30a7, (q15_t)0x30a1,
+ (q15_t)0x309b, (q15_t)0x3096, (q15_t)0x3090, (q15_t)0x308a, (q15_t)0x3084, (q15_t)0x307e, (q15_t)0x3079, (q15_t)0x3073,
+ (q15_t)0x306d, (q15_t)0x3067, (q15_t)0x3061, (q15_t)0x305b, (q15_t)0x3056, (q15_t)0x3050, (q15_t)0x304a, (q15_t)0x3044,
+ (q15_t)0x303e, (q15_t)0x3039, (q15_t)0x3033, (q15_t)0x302d, (q15_t)0x3027, (q15_t)0x3021, (q15_t)0x301b, (q15_t)0x3016,
+ (q15_t)0x3010, (q15_t)0x300a, (q15_t)0x3004, (q15_t)0x2ffe, (q15_t)0x2ff8, (q15_t)0x2ff3, (q15_t)0x2fed, (q15_t)0x2fe7,
+ (q15_t)0x2fe1, (q15_t)0x2fdb, (q15_t)0x2fd6, (q15_t)0x2fd0, (q15_t)0x2fca, (q15_t)0x2fc4, (q15_t)0x2fbe, (q15_t)0x2fb8,
+ (q15_t)0x2fb3, (q15_t)0x2fad, (q15_t)0x2fa7, (q15_t)0x2fa1, (q15_t)0x2f9b, (q15_t)0x2f95, (q15_t)0x2f90, (q15_t)0x2f8a,
+ (q15_t)0x2f84, (q15_t)0x2f7e, (q15_t)0x2f78, (q15_t)0x2f72, (q15_t)0x2f6d, (q15_t)0x2f67, (q15_t)0x2f61, (q15_t)0x2f5b,
+ (q15_t)0x2f55, (q15_t)0x2f4f, (q15_t)0x2f4a, (q15_t)0x2f44, (q15_t)0x2f3e, (q15_t)0x2f38, (q15_t)0x2f32, (q15_t)0x2f2c,
+ (q15_t)0x2f27, (q15_t)0x2f21, (q15_t)0x2f1b, (q15_t)0x2f15, (q15_t)0x2f0f, (q15_t)0x2f09, (q15_t)0x2f03, (q15_t)0x2efe,
+ (q15_t)0x2ef8, (q15_t)0x2ef2, (q15_t)0x2eec, (q15_t)0x2ee6, (q15_t)0x2ee0, (q15_t)0x2edb, (q15_t)0x2ed5, (q15_t)0x2ecf,
+ (q15_t)0x2ec9, (q15_t)0x2ec3, (q15_t)0x2ebd, (q15_t)0x2eb7, (q15_t)0x2eb2, (q15_t)0x2eac, (q15_t)0x2ea6, (q15_t)0x2ea0,
+ (q15_t)0x2e9a, (q15_t)0x2e94, (q15_t)0x2e8e, (q15_t)0x2e89, (q15_t)0x2e83, (q15_t)0x2e7d, (q15_t)0x2e77, (q15_t)0x2e71,
+ (q15_t)0x2e6b, (q15_t)0x2e65, (q15_t)0x2e60, (q15_t)0x2e5a, (q15_t)0x2e54, (q15_t)0x2e4e, (q15_t)0x2e48, (q15_t)0x2e42,
+ (q15_t)0x2e3c, (q15_t)0x2e37, (q15_t)0x2e31, (q15_t)0x2e2b, (q15_t)0x2e25, (q15_t)0x2e1f, (q15_t)0x2e19, (q15_t)0x2e13,
+ (q15_t)0x2e0e, (q15_t)0x2e08, (q15_t)0x2e02, (q15_t)0x2dfc, (q15_t)0x2df6, (q15_t)0x2df0, (q15_t)0x2dea, (q15_t)0x2de5,
+ (q15_t)0x2ddf, (q15_t)0x2dd9, (q15_t)0x2dd3, (q15_t)0x2dcd, (q15_t)0x2dc7, (q15_t)0x2dc1, (q15_t)0x2dbb, (q15_t)0x2db6,
+ (q15_t)0x2db0, (q15_t)0x2daa, (q15_t)0x2da4, (q15_t)0x2d9e, (q15_t)0x2d98, (q15_t)0x2d92, (q15_t)0x2d8d, (q15_t)0x2d87,
+ (q15_t)0x2d81, (q15_t)0x2d7b, (q15_t)0x2d75, (q15_t)0x2d6f, (q15_t)0x2d69, (q15_t)0x2d63, (q15_t)0x2d5e, (q15_t)0x2d58,
+ (q15_t)0x2d52, (q15_t)0x2d4c, (q15_t)0x2d46, (q15_t)0x2d40, (q15_t)0x2d3a, (q15_t)0x2d34, (q15_t)0x2d2f, (q15_t)0x2d29,
+ (q15_t)0x2d23, (q15_t)0x2d1d, (q15_t)0x2d17, (q15_t)0x2d11, (q15_t)0x2d0b, (q15_t)0x2d05, (q15_t)0x2cff, (q15_t)0x2cfa,
+ (q15_t)0x2cf4, (q15_t)0x2cee, (q15_t)0x2ce8, (q15_t)0x2ce2, (q15_t)0x2cdc, (q15_t)0x2cd6, (q15_t)0x2cd0, (q15_t)0x2ccb,
+ (q15_t)0x2cc5, (q15_t)0x2cbf, (q15_t)0x2cb9, (q15_t)0x2cb3, (q15_t)0x2cad, (q15_t)0x2ca7, (q15_t)0x2ca1, (q15_t)0x2c9b,
+ (q15_t)0x2c96, (q15_t)0x2c90, (q15_t)0x2c8a, (q15_t)0x2c84, (q15_t)0x2c7e, (q15_t)0x2c78, (q15_t)0x2c72, (q15_t)0x2c6c,
+ (q15_t)0x2c66, (q15_t)0x2c61, (q15_t)0x2c5b, (q15_t)0x2c55, (q15_t)0x2c4f, (q15_t)0x2c49, (q15_t)0x2c43, (q15_t)0x2c3d,
+ (q15_t)0x2c37, (q15_t)0x2c31, (q15_t)0x2c2b, (q15_t)0x2c26, (q15_t)0x2c20, (q15_t)0x2c1a, (q15_t)0x2c14, (q15_t)0x2c0e,
+ (q15_t)0x2c08, (q15_t)0x2c02, (q15_t)0x2bfc, (q15_t)0x2bf6, (q15_t)0x2bf0, (q15_t)0x2beb, (q15_t)0x2be5, (q15_t)0x2bdf,
+ (q15_t)0x2bd9, (q15_t)0x2bd3, (q15_t)0x2bcd, (q15_t)0x2bc7, (q15_t)0x2bc1, (q15_t)0x2bbb, (q15_t)0x2bb5, (q15_t)0x2bb0,
+ (q15_t)0x2baa, (q15_t)0x2ba4, (q15_t)0x2b9e, (q15_t)0x2b98, (q15_t)0x2b92, (q15_t)0x2b8c, (q15_t)0x2b86, (q15_t)0x2b80,
+ (q15_t)0x2b7a, (q15_t)0x2b74, (q15_t)0x2b6f, (q15_t)0x2b69, (q15_t)0x2b63, (q15_t)0x2b5d, (q15_t)0x2b57, (q15_t)0x2b51,
+ (q15_t)0x2b4b, (q15_t)0x2b45, (q15_t)0x2b3f, (q15_t)0x2b39, (q15_t)0x2b33, (q15_t)0x2b2d, (q15_t)0x2b28, (q15_t)0x2b22,
+ (q15_t)0x2b1c, (q15_t)0x2b16, (q15_t)0x2b10, (q15_t)0x2b0a, (q15_t)0x2b04, (q15_t)0x2afe, (q15_t)0x2af8, (q15_t)0x2af2,
+ (q15_t)0x2aec, (q15_t)0x2ae6, (q15_t)0x2ae1, (q15_t)0x2adb, (q15_t)0x2ad5, (q15_t)0x2acf, (q15_t)0x2ac9, (q15_t)0x2ac3,
+ (q15_t)0x2abd, (q15_t)0x2ab7, (q15_t)0x2ab1, (q15_t)0x2aab, (q15_t)0x2aa5, (q15_t)0x2a9f, (q15_t)0x2a99, (q15_t)0x2a94,
+ (q15_t)0x2a8e, (q15_t)0x2a88, (q15_t)0x2a82, (q15_t)0x2a7c, (q15_t)0x2a76, (q15_t)0x2a70, (q15_t)0x2a6a, (q15_t)0x2a64,
+ (q15_t)0x2a5e, (q15_t)0x2a58, (q15_t)0x2a52, (q15_t)0x2a4c, (q15_t)0x2a47, (q15_t)0x2a41, (q15_t)0x2a3b, (q15_t)0x2a35,
+ (q15_t)0x2a2f, (q15_t)0x2a29, (q15_t)0x2a23, (q15_t)0x2a1d, (q15_t)0x2a17, (q15_t)0x2a11, (q15_t)0x2a0b, (q15_t)0x2a05,
+ (q15_t)0x29ff, (q15_t)0x29f9, (q15_t)0x29f3, (q15_t)0x29ee, (q15_t)0x29e8, (q15_t)0x29e2, (q15_t)0x29dc, (q15_t)0x29d6,
+ (q15_t)0x29d0, (q15_t)0x29ca, (q15_t)0x29c4, (q15_t)0x29be, (q15_t)0x29b8, (q15_t)0x29b2, (q15_t)0x29ac, (q15_t)0x29a6,
+ (q15_t)0x29a0, (q15_t)0x299a, (q15_t)0x2994, (q15_t)0x298e, (q15_t)0x2989, (q15_t)0x2983, (q15_t)0x297d, (q15_t)0x2977,
+ (q15_t)0x2971, (q15_t)0x296b, (q15_t)0x2965, (q15_t)0x295f, (q15_t)0x2959, (q15_t)0x2953, (q15_t)0x294d, (q15_t)0x2947,
+ (q15_t)0x2941, (q15_t)0x293b, (q15_t)0x2935, (q15_t)0x292f, (q15_t)0x2929, (q15_t)0x2923, (q15_t)0x291d, (q15_t)0x2918,
+ (q15_t)0x2912, (q15_t)0x290c, (q15_t)0x2906, (q15_t)0x2900, (q15_t)0x28fa, (q15_t)0x28f4, (q15_t)0x28ee, (q15_t)0x28e8,
+ (q15_t)0x28e2, (q15_t)0x28dc, (q15_t)0x28d6, (q15_t)0x28d0, (q15_t)0x28ca, (q15_t)0x28c4, (q15_t)0x28be, (q15_t)0x28b8,
+ (q15_t)0x28b2, (q15_t)0x28ac, (q15_t)0x28a6, (q15_t)0x28a0, (q15_t)0x289a, (q15_t)0x2895, (q15_t)0x288f, (q15_t)0x2889,
+ (q15_t)0x2883, (q15_t)0x287d, (q15_t)0x2877, (q15_t)0x2871, (q15_t)0x286b, (q15_t)0x2865, (q15_t)0x285f, (q15_t)0x2859,
+ (q15_t)0x2853, (q15_t)0x284d, (q15_t)0x2847, (q15_t)0x2841, (q15_t)0x283b, (q15_t)0x2835, (q15_t)0x282f, (q15_t)0x2829,
+ (q15_t)0x2823, (q15_t)0x281d, (q15_t)0x2817, (q15_t)0x2811, (q15_t)0x280b, (q15_t)0x2805, (q15_t)0x27ff, (q15_t)0x27f9,
+ (q15_t)0x27f3, (q15_t)0x27ee, (q15_t)0x27e8, (q15_t)0x27e2, (q15_t)0x27dc, (q15_t)0x27d6, (q15_t)0x27d0, (q15_t)0x27ca,
+ (q15_t)0x27c4, (q15_t)0x27be, (q15_t)0x27b8, (q15_t)0x27b2, (q15_t)0x27ac, (q15_t)0x27a6, (q15_t)0x27a0, (q15_t)0x279a,
+ (q15_t)0x2794, (q15_t)0x278e, (q15_t)0x2788, (q15_t)0x2782, (q15_t)0x277c, (q15_t)0x2776, (q15_t)0x2770, (q15_t)0x276a,
+ (q15_t)0x2764, (q15_t)0x275e, (q15_t)0x2758, (q15_t)0x2752, (q15_t)0x274c, (q15_t)0x2746, (q15_t)0x2740, (q15_t)0x273a,
+ (q15_t)0x2734, (q15_t)0x272e, (q15_t)0x2728, (q15_t)0x2722, (q15_t)0x271c, (q15_t)0x2716, (q15_t)0x2710, (q15_t)0x270a,
+ (q15_t)0x2704, (q15_t)0x26fe, (q15_t)0x26f8, (q15_t)0x26f2, (q15_t)0x26ec, (q15_t)0x26e7, (q15_t)0x26e1, (q15_t)0x26db,
+ (q15_t)0x26d5, (q15_t)0x26cf, (q15_t)0x26c9, (q15_t)0x26c3, (q15_t)0x26bd, (q15_t)0x26b7, (q15_t)0x26b1, (q15_t)0x26ab,
+ (q15_t)0x26a5, (q15_t)0x269f, (q15_t)0x2699, (q15_t)0x2693, (q15_t)0x268d, (q15_t)0x2687, (q15_t)0x2681, (q15_t)0x267b,
+ (q15_t)0x2675, (q15_t)0x266f, (q15_t)0x2669, (q15_t)0x2663, (q15_t)0x265d, (q15_t)0x2657, (q15_t)0x2651, (q15_t)0x264b,
+ (q15_t)0x2645, (q15_t)0x263f, (q15_t)0x2639, (q15_t)0x2633, (q15_t)0x262d, (q15_t)0x2627, (q15_t)0x2621, (q15_t)0x261b,
+ (q15_t)0x2615, (q15_t)0x260f, (q15_t)0x2609, (q15_t)0x2603, (q15_t)0x25fd, (q15_t)0x25f7, (q15_t)0x25f1, (q15_t)0x25eb,
+ (q15_t)0x25e5, (q15_t)0x25df, (q15_t)0x25d9, (q15_t)0x25d3, (q15_t)0x25cd, (q15_t)0x25c7, (q15_t)0x25c1, (q15_t)0x25bb,
+ (q15_t)0x25b5, (q15_t)0x25af, (q15_t)0x25a9, (q15_t)0x25a3, (q15_t)0x259d, (q15_t)0x2597, (q15_t)0x2591, (q15_t)0x258b,
+ (q15_t)0x2585, (q15_t)0x257f, (q15_t)0x2579, (q15_t)0x2573, (q15_t)0x256d, (q15_t)0x2567, (q15_t)0x2561, (q15_t)0x255b,
+ (q15_t)0x2555, (q15_t)0x254f, (q15_t)0x2549, (q15_t)0x2543, (q15_t)0x253d, (q15_t)0x2537, (q15_t)0x2531, (q15_t)0x252b,
+ (q15_t)0x2525, (q15_t)0x251f, (q15_t)0x2519, (q15_t)0x2513, (q15_t)0x250c, (q15_t)0x2506, (q15_t)0x2500, (q15_t)0x24fa,
+ (q15_t)0x24f4, (q15_t)0x24ee, (q15_t)0x24e8, (q15_t)0x24e2, (q15_t)0x24dc, (q15_t)0x24d6, (q15_t)0x24d0, (q15_t)0x24ca,
+ (q15_t)0x24c4, (q15_t)0x24be, (q15_t)0x24b8, (q15_t)0x24b2, (q15_t)0x24ac, (q15_t)0x24a6, (q15_t)0x24a0, (q15_t)0x249a,
+ (q15_t)0x2494, (q15_t)0x248e, (q15_t)0x2488, (q15_t)0x2482, (q15_t)0x247c, (q15_t)0x2476, (q15_t)0x2470, (q15_t)0x246a,
+ (q15_t)0x2464, (q15_t)0x245e, (q15_t)0x2458, (q15_t)0x2452, (q15_t)0x244c, (q15_t)0x2446, (q15_t)0x2440, (q15_t)0x243a,
+ (q15_t)0x2434, (q15_t)0x242e, (q15_t)0x2428, (q15_t)0x2422, (q15_t)0x241c, (q15_t)0x2416, (q15_t)0x2410, (q15_t)0x240a,
+ (q15_t)0x2404, (q15_t)0x23fd, (q15_t)0x23f7, (q15_t)0x23f1, (q15_t)0x23eb, (q15_t)0x23e5, (q15_t)0x23df, (q15_t)0x23d9,
+ (q15_t)0x23d3, (q15_t)0x23cd, (q15_t)0x23c7, (q15_t)0x23c1, (q15_t)0x23bb, (q15_t)0x23b5, (q15_t)0x23af, (q15_t)0x23a9,
+ (q15_t)0x23a3, (q15_t)0x239d, (q15_t)0x2397, (q15_t)0x2391, (q15_t)0x238b, (q15_t)0x2385, (q15_t)0x237f, (q15_t)0x2379,
+ (q15_t)0x2373, (q15_t)0x236d, (q15_t)0x2367, (q15_t)0x2361, (q15_t)0x235b, (q15_t)0x2355, (q15_t)0x234e, (q15_t)0x2348,
+ (q15_t)0x2342, (q15_t)0x233c, (q15_t)0x2336, (q15_t)0x2330, (q15_t)0x232a, (q15_t)0x2324, (q15_t)0x231e, (q15_t)0x2318,
+ (q15_t)0x2312, (q15_t)0x230c, (q15_t)0x2306, (q15_t)0x2300, (q15_t)0x22fa, (q15_t)0x22f4, (q15_t)0x22ee, (q15_t)0x22e8,
+ (q15_t)0x22e2, (q15_t)0x22dc, (q15_t)0x22d6, (q15_t)0x22d0, (q15_t)0x22ca, (q15_t)0x22c4, (q15_t)0x22bd, (q15_t)0x22b7,
+ (q15_t)0x22b1, (q15_t)0x22ab, (q15_t)0x22a5, (q15_t)0x229f, (q15_t)0x2299, (q15_t)0x2293, (q15_t)0x228d, (q15_t)0x2287,
+ (q15_t)0x2281, (q15_t)0x227b, (q15_t)0x2275, (q15_t)0x226f, (q15_t)0x2269, (q15_t)0x2263, (q15_t)0x225d, (q15_t)0x2257,
+ (q15_t)0x2251, (q15_t)0x224a, (q15_t)0x2244, (q15_t)0x223e, (q15_t)0x2238, (q15_t)0x2232, (q15_t)0x222c, (q15_t)0x2226,
+ (q15_t)0x2220, (q15_t)0x221a, (q15_t)0x2214, (q15_t)0x220e, (q15_t)0x2208, (q15_t)0x2202, (q15_t)0x21fc, (q15_t)0x21f6,
+ (q15_t)0x21f0, (q15_t)0x21ea, (q15_t)0x21e4, (q15_t)0x21dd, (q15_t)0x21d7, (q15_t)0x21d1, (q15_t)0x21cb, (q15_t)0x21c5,
+ (q15_t)0x21bf, (q15_t)0x21b9, (q15_t)0x21b3, (q15_t)0x21ad, (q15_t)0x21a7, (q15_t)0x21a1, (q15_t)0x219b, (q15_t)0x2195,
+ (q15_t)0x218f, (q15_t)0x2189, (q15_t)0x2183, (q15_t)0x217c, (q15_t)0x2176, (q15_t)0x2170, (q15_t)0x216a, (q15_t)0x2164,
+ (q15_t)0x215e, (q15_t)0x2158, (q15_t)0x2152, (q15_t)0x214c, (q15_t)0x2146, (q15_t)0x2140, (q15_t)0x213a, (q15_t)0x2134,
+ (q15_t)0x212e, (q15_t)0x2128, (q15_t)0x2121, (q15_t)0x211b, (q15_t)0x2115, (q15_t)0x210f, (q15_t)0x2109, (q15_t)0x2103,
+ (q15_t)0x20fd, (q15_t)0x20f7, (q15_t)0x20f1, (q15_t)0x20eb, (q15_t)0x20e5, (q15_t)0x20df, (q15_t)0x20d9, (q15_t)0x20d3,
+ (q15_t)0x20cc, (q15_t)0x20c6, (q15_t)0x20c0, (q15_t)0x20ba, (q15_t)0x20b4, (q15_t)0x20ae, (q15_t)0x20a8, (q15_t)0x20a2,
+ (q15_t)0x209c, (q15_t)0x2096, (q15_t)0x2090, (q15_t)0x208a, (q15_t)0x2084, (q15_t)0x207e, (q15_t)0x2077, (q15_t)0x2071,
+ (q15_t)0x206b, (q15_t)0x2065, (q15_t)0x205f, (q15_t)0x2059, (q15_t)0x2053, (q15_t)0x204d, (q15_t)0x2047, (q15_t)0x2041,
+ (q15_t)0x203b, (q15_t)0x2035, (q15_t)0x202e, (q15_t)0x2028, (q15_t)0x2022, (q15_t)0x201c, (q15_t)0x2016, (q15_t)0x2010,
+ (q15_t)0x200a, (q15_t)0x2004, (q15_t)0x1ffe, (q15_t)0x1ff8, (q15_t)0x1ff2, (q15_t)0x1fec, (q15_t)0x1fe5, (q15_t)0x1fdf,
+ (q15_t)0x1fd9, (q15_t)0x1fd3, (q15_t)0x1fcd, (q15_t)0x1fc7, (q15_t)0x1fc1, (q15_t)0x1fbb, (q15_t)0x1fb5, (q15_t)0x1faf,
+ (q15_t)0x1fa9, (q15_t)0x1fa3, (q15_t)0x1f9c, (q15_t)0x1f96, (q15_t)0x1f90, (q15_t)0x1f8a, (q15_t)0x1f84, (q15_t)0x1f7e,
+ (q15_t)0x1f78, (q15_t)0x1f72, (q15_t)0x1f6c, (q15_t)0x1f66, (q15_t)0x1f60, (q15_t)0x1f59, (q15_t)0x1f53, (q15_t)0x1f4d,
+ (q15_t)0x1f47, (q15_t)0x1f41, (q15_t)0x1f3b, (q15_t)0x1f35, (q15_t)0x1f2f, (q15_t)0x1f29, (q15_t)0x1f23, (q15_t)0x1f1d,
+ (q15_t)0x1f16, (q15_t)0x1f10, (q15_t)0x1f0a, (q15_t)0x1f04, (q15_t)0x1efe, (q15_t)0x1ef8, (q15_t)0x1ef2, (q15_t)0x1eec,
+ (q15_t)0x1ee6, (q15_t)0x1ee0, (q15_t)0x1ed9, (q15_t)0x1ed3, (q15_t)0x1ecd, (q15_t)0x1ec7, (q15_t)0x1ec1, (q15_t)0x1ebb,
+ (q15_t)0x1eb5, (q15_t)0x1eaf, (q15_t)0x1ea9, (q15_t)0x1ea3, (q15_t)0x1e9c, (q15_t)0x1e96, (q15_t)0x1e90, (q15_t)0x1e8a,
+ (q15_t)0x1e84, (q15_t)0x1e7e, (q15_t)0x1e78, (q15_t)0x1e72, (q15_t)0x1e6c, (q15_t)0x1e66, (q15_t)0x1e5f, (q15_t)0x1e59,
+ (q15_t)0x1e53, (q15_t)0x1e4d, (q15_t)0x1e47, (q15_t)0x1e41, (q15_t)0x1e3b, (q15_t)0x1e35, (q15_t)0x1e2f, (q15_t)0x1e29,
+ (q15_t)0x1e22, (q15_t)0x1e1c, (q15_t)0x1e16, (q15_t)0x1e10, (q15_t)0x1e0a, (q15_t)0x1e04, (q15_t)0x1dfe, (q15_t)0x1df8,
+ (q15_t)0x1df2, (q15_t)0x1deb, (q15_t)0x1de5, (q15_t)0x1ddf, (q15_t)0x1dd9, (q15_t)0x1dd3, (q15_t)0x1dcd, (q15_t)0x1dc7,
+ (q15_t)0x1dc1, (q15_t)0x1dbb, (q15_t)0x1db4, (q15_t)0x1dae, (q15_t)0x1da8, (q15_t)0x1da2, (q15_t)0x1d9c, (q15_t)0x1d96,
+ (q15_t)0x1d90, (q15_t)0x1d8a, (q15_t)0x1d84, (q15_t)0x1d7d, (q15_t)0x1d77, (q15_t)0x1d71, (q15_t)0x1d6b, (q15_t)0x1d65,
+ (q15_t)0x1d5f, (q15_t)0x1d59, (q15_t)0x1d53, (q15_t)0x1d4c, (q15_t)0x1d46, (q15_t)0x1d40, (q15_t)0x1d3a, (q15_t)0x1d34,
+ (q15_t)0x1d2e, (q15_t)0x1d28, (q15_t)0x1d22, (q15_t)0x1d1c, (q15_t)0x1d15, (q15_t)0x1d0f, (q15_t)0x1d09, (q15_t)0x1d03,
+ (q15_t)0x1cfd, (q15_t)0x1cf7, (q15_t)0x1cf1, (q15_t)0x1ceb, (q15_t)0x1ce4, (q15_t)0x1cde, (q15_t)0x1cd8, (q15_t)0x1cd2,
+ (q15_t)0x1ccc, (q15_t)0x1cc6, (q15_t)0x1cc0, (q15_t)0x1cba, (q15_t)0x1cb3, (q15_t)0x1cad, (q15_t)0x1ca7, (q15_t)0x1ca1,
+ (q15_t)0x1c9b, (q15_t)0x1c95, (q15_t)0x1c8f, (q15_t)0x1c89, (q15_t)0x1c83, (q15_t)0x1c7c, (q15_t)0x1c76, (q15_t)0x1c70,
+ (q15_t)0x1c6a, (q15_t)0x1c64, (q15_t)0x1c5e, (q15_t)0x1c58, (q15_t)0x1c51, (q15_t)0x1c4b, (q15_t)0x1c45, (q15_t)0x1c3f,
+ (q15_t)0x1c39, (q15_t)0x1c33, (q15_t)0x1c2d, (q15_t)0x1c27, (q15_t)0x1c20, (q15_t)0x1c1a, (q15_t)0x1c14, (q15_t)0x1c0e,
+ (q15_t)0x1c08, (q15_t)0x1c02, (q15_t)0x1bfc, (q15_t)0x1bf6, (q15_t)0x1bef, (q15_t)0x1be9, (q15_t)0x1be3, (q15_t)0x1bdd,
+ (q15_t)0x1bd7, (q15_t)0x1bd1, (q15_t)0x1bcb, (q15_t)0x1bc4, (q15_t)0x1bbe, (q15_t)0x1bb8, (q15_t)0x1bb2, (q15_t)0x1bac,
+ (q15_t)0x1ba6, (q15_t)0x1ba0, (q15_t)0x1b9a, (q15_t)0x1b93, (q15_t)0x1b8d, (q15_t)0x1b87, (q15_t)0x1b81, (q15_t)0x1b7b,
+ (q15_t)0x1b75, (q15_t)0x1b6f, (q15_t)0x1b68, (q15_t)0x1b62, (q15_t)0x1b5c, (q15_t)0x1b56, (q15_t)0x1b50, (q15_t)0x1b4a,
+ (q15_t)0x1b44, (q15_t)0x1b3d, (q15_t)0x1b37, (q15_t)0x1b31, (q15_t)0x1b2b, (q15_t)0x1b25, (q15_t)0x1b1f, (q15_t)0x1b19,
+ (q15_t)0x1b13, (q15_t)0x1b0c, (q15_t)0x1b06, (q15_t)0x1b00, (q15_t)0x1afa, (q15_t)0x1af4, (q15_t)0x1aee, (q15_t)0x1ae8,
+ (q15_t)0x1ae1, (q15_t)0x1adb, (q15_t)0x1ad5, (q15_t)0x1acf, (q15_t)0x1ac9, (q15_t)0x1ac3, (q15_t)0x1abd, (q15_t)0x1ab6,
+ (q15_t)0x1ab0, (q15_t)0x1aaa, (q15_t)0x1aa4, (q15_t)0x1a9e, (q15_t)0x1a98, (q15_t)0x1a91, (q15_t)0x1a8b, (q15_t)0x1a85,
+ (q15_t)0x1a7f, (q15_t)0x1a79, (q15_t)0x1a73, (q15_t)0x1a6d, (q15_t)0x1a66, (q15_t)0x1a60, (q15_t)0x1a5a, (q15_t)0x1a54,
+ (q15_t)0x1a4e, (q15_t)0x1a48, (q15_t)0x1a42, (q15_t)0x1a3b, (q15_t)0x1a35, (q15_t)0x1a2f, (q15_t)0x1a29, (q15_t)0x1a23,
+ (q15_t)0x1a1d, (q15_t)0x1a17, (q15_t)0x1a10, (q15_t)0x1a0a, (q15_t)0x1a04, (q15_t)0x19fe, (q15_t)0x19f8, (q15_t)0x19f2,
+ (q15_t)0x19eb, (q15_t)0x19e5, (q15_t)0x19df, (q15_t)0x19d9, (q15_t)0x19d3, (q15_t)0x19cd, (q15_t)0x19c7, (q15_t)0x19c0,
+ (q15_t)0x19ba, (q15_t)0x19b4, (q15_t)0x19ae, (q15_t)0x19a8, (q15_t)0x19a2, (q15_t)0x199b, (q15_t)0x1995, (q15_t)0x198f,
+ (q15_t)0x1989, (q15_t)0x1983, (q15_t)0x197d, (q15_t)0x1977, (q15_t)0x1970, (q15_t)0x196a, (q15_t)0x1964, (q15_t)0x195e,
+ (q15_t)0x1958, (q15_t)0x1952, (q15_t)0x194b, (q15_t)0x1945, (q15_t)0x193f, (q15_t)0x1939, (q15_t)0x1933, (q15_t)0x192d,
+ (q15_t)0x1926, (q15_t)0x1920, (q15_t)0x191a, (q15_t)0x1914, (q15_t)0x190e, (q15_t)0x1908, (q15_t)0x1901, (q15_t)0x18fb,
+ (q15_t)0x18f5, (q15_t)0x18ef, (q15_t)0x18e9, (q15_t)0x18e3, (q15_t)0x18dc, (q15_t)0x18d6, (q15_t)0x18d0, (q15_t)0x18ca,
+ (q15_t)0x18c4, (q15_t)0x18be, (q15_t)0x18b8, (q15_t)0x18b1, (q15_t)0x18ab, (q15_t)0x18a5, (q15_t)0x189f, (q15_t)0x1899,
+ (q15_t)0x1893, (q15_t)0x188c, (q15_t)0x1886, (q15_t)0x1880, (q15_t)0x187a, (q15_t)0x1874, (q15_t)0x186e, (q15_t)0x1867,
+ (q15_t)0x1861, (q15_t)0x185b, (q15_t)0x1855, (q15_t)0x184f, (q15_t)0x1848, (q15_t)0x1842, (q15_t)0x183c, (q15_t)0x1836,
+ (q15_t)0x1830, (q15_t)0x182a, (q15_t)0x1823, (q15_t)0x181d, (q15_t)0x1817, (q15_t)0x1811, (q15_t)0x180b, (q15_t)0x1805,
+ (q15_t)0x17fe, (q15_t)0x17f8, (q15_t)0x17f2, (q15_t)0x17ec, (q15_t)0x17e6, (q15_t)0x17e0, (q15_t)0x17d9, (q15_t)0x17d3,
+ (q15_t)0x17cd, (q15_t)0x17c7, (q15_t)0x17c1, (q15_t)0x17bb, (q15_t)0x17b4, (q15_t)0x17ae, (q15_t)0x17a8, (q15_t)0x17a2,
+ (q15_t)0x179c, (q15_t)0x1795, (q15_t)0x178f, (q15_t)0x1789, (q15_t)0x1783, (q15_t)0x177d, (q15_t)0x1777, (q15_t)0x1770,
+ (q15_t)0x176a, (q15_t)0x1764, (q15_t)0x175e, (q15_t)0x1758, (q15_t)0x1752, (q15_t)0x174b, (q15_t)0x1745, (q15_t)0x173f,
+ (q15_t)0x1739, (q15_t)0x1733, (q15_t)0x172c, (q15_t)0x1726, (q15_t)0x1720, (q15_t)0x171a, (q15_t)0x1714, (q15_t)0x170e,
+ (q15_t)0x1707, (q15_t)0x1701, (q15_t)0x16fb, (q15_t)0x16f5, (q15_t)0x16ef, (q15_t)0x16e8, (q15_t)0x16e2, (q15_t)0x16dc,
+ (q15_t)0x16d6, (q15_t)0x16d0, (q15_t)0x16ca, (q15_t)0x16c3, (q15_t)0x16bd, (q15_t)0x16b7, (q15_t)0x16b1, (q15_t)0x16ab,
+ (q15_t)0x16a4, (q15_t)0x169e, (q15_t)0x1698, (q15_t)0x1692, (q15_t)0x168c, (q15_t)0x1686, (q15_t)0x167f, (q15_t)0x1679,
+ (q15_t)0x1673, (q15_t)0x166d, (q15_t)0x1667, (q15_t)0x1660, (q15_t)0x165a, (q15_t)0x1654, (q15_t)0x164e, (q15_t)0x1648,
+ (q15_t)0x1642, (q15_t)0x163b, (q15_t)0x1635, (q15_t)0x162f, (q15_t)0x1629, (q15_t)0x1623, (q15_t)0x161c, (q15_t)0x1616,
+ (q15_t)0x1610, (q15_t)0x160a, (q15_t)0x1604, (q15_t)0x15fd, (q15_t)0x15f7, (q15_t)0x15f1, (q15_t)0x15eb, (q15_t)0x15e5,
+ (q15_t)0x15de, (q15_t)0x15d8, (q15_t)0x15d2, (q15_t)0x15cc, (q15_t)0x15c6, (q15_t)0x15c0, (q15_t)0x15b9, (q15_t)0x15b3,
+ (q15_t)0x15ad, (q15_t)0x15a7, (q15_t)0x15a1, (q15_t)0x159a, (q15_t)0x1594, (q15_t)0x158e, (q15_t)0x1588, (q15_t)0x1582,
+ (q15_t)0x157b, (q15_t)0x1575, (q15_t)0x156f, (q15_t)0x1569, (q15_t)0x1563, (q15_t)0x155c, (q15_t)0x1556, (q15_t)0x1550,
+ (q15_t)0x154a, (q15_t)0x1544, (q15_t)0x153d, (q15_t)0x1537, (q15_t)0x1531, (q15_t)0x152b, (q15_t)0x1525, (q15_t)0x151e,
+ (q15_t)0x1518, (q15_t)0x1512, (q15_t)0x150c, (q15_t)0x1506, (q15_t)0x14ff, (q15_t)0x14f9, (q15_t)0x14f3, (q15_t)0x14ed,
+ (q15_t)0x14e7, (q15_t)0x14e0, (q15_t)0x14da, (q15_t)0x14d4, (q15_t)0x14ce, (q15_t)0x14c8, (q15_t)0x14c1, (q15_t)0x14bb,
+ (q15_t)0x14b5, (q15_t)0x14af, (q15_t)0x14a9, (q15_t)0x14a2, (q15_t)0x149c, (q15_t)0x1496, (q15_t)0x1490, (q15_t)0x148a,
+ (q15_t)0x1483, (q15_t)0x147d, (q15_t)0x1477, (q15_t)0x1471, (q15_t)0x146b, (q15_t)0x1464, (q15_t)0x145e, (q15_t)0x1458,
+ (q15_t)0x1452, (q15_t)0x144c, (q15_t)0x1445, (q15_t)0x143f, (q15_t)0x1439, (q15_t)0x1433, (q15_t)0x142d, (q15_t)0x1426,
+ (q15_t)0x1420, (q15_t)0x141a, (q15_t)0x1414, (q15_t)0x140e, (q15_t)0x1407, (q15_t)0x1401, (q15_t)0x13fb, (q15_t)0x13f5,
+ (q15_t)0x13ef, (q15_t)0x13e8, (q15_t)0x13e2, (q15_t)0x13dc, (q15_t)0x13d6, (q15_t)0x13d0, (q15_t)0x13c9, (q15_t)0x13c3,
+ (q15_t)0x13bd, (q15_t)0x13b7, (q15_t)0x13b1, (q15_t)0x13aa, (q15_t)0x13a4, (q15_t)0x139e, (q15_t)0x1398, (q15_t)0x1391,
+ (q15_t)0x138b, (q15_t)0x1385, (q15_t)0x137f, (q15_t)0x1379, (q15_t)0x1372, (q15_t)0x136c, (q15_t)0x1366, (q15_t)0x1360,
+ (q15_t)0x135a, (q15_t)0x1353, (q15_t)0x134d, (q15_t)0x1347, (q15_t)0x1341, (q15_t)0x133b, (q15_t)0x1334, (q15_t)0x132e,
+ (q15_t)0x1328, (q15_t)0x1322, (q15_t)0x131b, (q15_t)0x1315, (q15_t)0x130f, (q15_t)0x1309, (q15_t)0x1303, (q15_t)0x12fc,
+ (q15_t)0x12f6, (q15_t)0x12f0, (q15_t)0x12ea, (q15_t)0x12e4, (q15_t)0x12dd, (q15_t)0x12d7, (q15_t)0x12d1, (q15_t)0x12cb,
+ (q15_t)0x12c4, (q15_t)0x12be, (q15_t)0x12b8, (q15_t)0x12b2, (q15_t)0x12ac, (q15_t)0x12a5, (q15_t)0x129f, (q15_t)0x1299,
+ (q15_t)0x1293, (q15_t)0x128d, (q15_t)0x1286, (q15_t)0x1280, (q15_t)0x127a, (q15_t)0x1274, (q15_t)0x126d, (q15_t)0x1267,
+ (q15_t)0x1261, (q15_t)0x125b, (q15_t)0x1255, (q15_t)0x124e, (q15_t)0x1248, (q15_t)0x1242, (q15_t)0x123c, (q15_t)0x1235,
+ (q15_t)0x122f, (q15_t)0x1229, (q15_t)0x1223, (q15_t)0x121d, (q15_t)0x1216, (q15_t)0x1210, (q15_t)0x120a, (q15_t)0x1204,
+ (q15_t)0x11fd, (q15_t)0x11f7, (q15_t)0x11f1, (q15_t)0x11eb, (q15_t)0x11e5, (q15_t)0x11de, (q15_t)0x11d8, (q15_t)0x11d2,
+ (q15_t)0x11cc, (q15_t)0x11c5, (q15_t)0x11bf, (q15_t)0x11b9, (q15_t)0x11b3, (q15_t)0x11ad, (q15_t)0x11a6, (q15_t)0x11a0,
+ (q15_t)0x119a, (q15_t)0x1194, (q15_t)0x118d, (q15_t)0x1187, (q15_t)0x1181, (q15_t)0x117b, (q15_t)0x1175, (q15_t)0x116e,
+ (q15_t)0x1168, (q15_t)0x1162, (q15_t)0x115c, (q15_t)0x1155, (q15_t)0x114f, (q15_t)0x1149, (q15_t)0x1143, (q15_t)0x113d,
+ (q15_t)0x1136, (q15_t)0x1130, (q15_t)0x112a, (q15_t)0x1124, (q15_t)0x111d, (q15_t)0x1117, (q15_t)0x1111, (q15_t)0x110b,
+ (q15_t)0x1105, (q15_t)0x10fe, (q15_t)0x10f8, (q15_t)0x10f2, (q15_t)0x10ec, (q15_t)0x10e5, (q15_t)0x10df, (q15_t)0x10d9,
+ (q15_t)0x10d3, (q15_t)0x10cc, (q15_t)0x10c6, (q15_t)0x10c0, (q15_t)0x10ba, (q15_t)0x10b4, (q15_t)0x10ad, (q15_t)0x10a7,
+ (q15_t)0x10a1, (q15_t)0x109b, (q15_t)0x1094, (q15_t)0x108e, (q15_t)0x1088, (q15_t)0x1082, (q15_t)0x107b, (q15_t)0x1075,
+ (q15_t)0x106f, (q15_t)0x1069, (q15_t)0x1063, (q15_t)0x105c, (q15_t)0x1056, (q15_t)0x1050, (q15_t)0x104a, (q15_t)0x1043,
+ (q15_t)0x103d, (q15_t)0x1037, (q15_t)0x1031, (q15_t)0x102a, (q15_t)0x1024, (q15_t)0x101e, (q15_t)0x1018, (q15_t)0x1012,
+ (q15_t)0x100b, (q15_t)0x1005, (q15_t)0xfff, (q15_t)0xff9, (q15_t)0xff2, (q15_t)0xfec, (q15_t)0xfe6, (q15_t)0xfe0,
+ (q15_t)0xfd9, (q15_t)0xfd3, (q15_t)0xfcd, (q15_t)0xfc7, (q15_t)0xfc0, (q15_t)0xfba, (q15_t)0xfb4, (q15_t)0xfae,
+ (q15_t)0xfa8, (q15_t)0xfa1, (q15_t)0xf9b, (q15_t)0xf95, (q15_t)0xf8f, (q15_t)0xf88, (q15_t)0xf82, (q15_t)0xf7c,
+ (q15_t)0xf76, (q15_t)0xf6f, (q15_t)0xf69, (q15_t)0xf63, (q15_t)0xf5d, (q15_t)0xf56, (q15_t)0xf50, (q15_t)0xf4a,
+ (q15_t)0xf44, (q15_t)0xf3e, (q15_t)0xf37, (q15_t)0xf31, (q15_t)0xf2b, (q15_t)0xf25, (q15_t)0xf1e, (q15_t)0xf18,
+ (q15_t)0xf12, (q15_t)0xf0c, (q15_t)0xf05, (q15_t)0xeff, (q15_t)0xef9, (q15_t)0xef3, (q15_t)0xeec, (q15_t)0xee6,
+ (q15_t)0xee0, (q15_t)0xeda, (q15_t)0xed3, (q15_t)0xecd, (q15_t)0xec7, (q15_t)0xec1, (q15_t)0xeba, (q15_t)0xeb4,
+ (q15_t)0xeae, (q15_t)0xea8, (q15_t)0xea1, (q15_t)0xe9b, (q15_t)0xe95, (q15_t)0xe8f, (q15_t)0xe89, (q15_t)0xe82,
+ (q15_t)0xe7c, (q15_t)0xe76, (q15_t)0xe70, (q15_t)0xe69, (q15_t)0xe63, (q15_t)0xe5d, (q15_t)0xe57, (q15_t)0xe50,
+ (q15_t)0xe4a, (q15_t)0xe44, (q15_t)0xe3e, (q15_t)0xe37, (q15_t)0xe31, (q15_t)0xe2b, (q15_t)0xe25, (q15_t)0xe1e,
+ (q15_t)0xe18, (q15_t)0xe12, (q15_t)0xe0c, (q15_t)0xe05, (q15_t)0xdff, (q15_t)0xdf9, (q15_t)0xdf3, (q15_t)0xdec,
+ (q15_t)0xde6, (q15_t)0xde0, (q15_t)0xdda, (q15_t)0xdd3, (q15_t)0xdcd, (q15_t)0xdc7, (q15_t)0xdc1, (q15_t)0xdba,
+ (q15_t)0xdb4, (q15_t)0xdae, (q15_t)0xda8, (q15_t)0xda1, (q15_t)0xd9b, (q15_t)0xd95, (q15_t)0xd8f, (q15_t)0xd88,
+ (q15_t)0xd82, (q15_t)0xd7c, (q15_t)0xd76, (q15_t)0xd6f, (q15_t)0xd69, (q15_t)0xd63, (q15_t)0xd5d, (q15_t)0xd56,
+ (q15_t)0xd50, (q15_t)0xd4a, (q15_t)0xd44, (q15_t)0xd3d, (q15_t)0xd37, (q15_t)0xd31, (q15_t)0xd2b, (q15_t)0xd24,
+ (q15_t)0xd1e, (q15_t)0xd18, (q15_t)0xd12, (q15_t)0xd0b, (q15_t)0xd05, (q15_t)0xcff, (q15_t)0xcf9, (q15_t)0xcf2,
+ (q15_t)0xcec, (q15_t)0xce6, (q15_t)0xce0, (q15_t)0xcd9, (q15_t)0xcd3, (q15_t)0xccd, (q15_t)0xcc7, (q15_t)0xcc0,
+ (q15_t)0xcba, (q15_t)0xcb4, (q15_t)0xcae, (q15_t)0xca7, (q15_t)0xca1, (q15_t)0xc9b, (q15_t)0xc95, (q15_t)0xc8e,
+ (q15_t)0xc88, (q15_t)0xc82, (q15_t)0xc7c, (q15_t)0xc75, (q15_t)0xc6f, (q15_t)0xc69, (q15_t)0xc63, (q15_t)0xc5c,
+ (q15_t)0xc56, (q15_t)0xc50, (q15_t)0xc4a, (q15_t)0xc43, (q15_t)0xc3d, (q15_t)0xc37, (q15_t)0xc31, (q15_t)0xc2a,
+ (q15_t)0xc24, (q15_t)0xc1e, (q15_t)0xc18, (q15_t)0xc11, (q15_t)0xc0b, (q15_t)0xc05, (q15_t)0xbff, (q15_t)0xbf8,
+ (q15_t)0xbf2, (q15_t)0xbec, (q15_t)0xbe6, (q15_t)0xbdf, (q15_t)0xbd9, (q15_t)0xbd3, (q15_t)0xbcd, (q15_t)0xbc6,
+ (q15_t)0xbc0, (q15_t)0xbba, (q15_t)0xbb4, (q15_t)0xbad, (q15_t)0xba7, (q15_t)0xba1, (q15_t)0xb9b, (q15_t)0xb94,
+ (q15_t)0xb8e, (q15_t)0xb88, (q15_t)0xb81, (q15_t)0xb7b, (q15_t)0xb75, (q15_t)0xb6f, (q15_t)0xb68, (q15_t)0xb62,
+ (q15_t)0xb5c, (q15_t)0xb56, (q15_t)0xb4f, (q15_t)0xb49, (q15_t)0xb43, (q15_t)0xb3d, (q15_t)0xb36, (q15_t)0xb30,
+ (q15_t)0xb2a, (q15_t)0xb24, (q15_t)0xb1d, (q15_t)0xb17, (q15_t)0xb11, (q15_t)0xb0b, (q15_t)0xb04, (q15_t)0xafe,
+ (q15_t)0xaf8, (q15_t)0xaf2, (q15_t)0xaeb, (q15_t)0xae5, (q15_t)0xadf, (q15_t)0xad8, (q15_t)0xad2, (q15_t)0xacc,
+ (q15_t)0xac6, (q15_t)0xabf, (q15_t)0xab9, (q15_t)0xab3, (q15_t)0xaad, (q15_t)0xaa6, (q15_t)0xaa0, (q15_t)0xa9a,
+ (q15_t)0xa94, (q15_t)0xa8d, (q15_t)0xa87, (q15_t)0xa81, (q15_t)0xa7b, (q15_t)0xa74, (q15_t)0xa6e, (q15_t)0xa68,
+ (q15_t)0xa62, (q15_t)0xa5b, (q15_t)0xa55, (q15_t)0xa4f, (q15_t)0xa48, (q15_t)0xa42, (q15_t)0xa3c, (q15_t)0xa36,
+ (q15_t)0xa2f, (q15_t)0xa29, (q15_t)0xa23, (q15_t)0xa1d, (q15_t)0xa16, (q15_t)0xa10, (q15_t)0xa0a, (q15_t)0xa04,
+ (q15_t)0x9fd, (q15_t)0x9f7, (q15_t)0x9f1, (q15_t)0x9eb, (q15_t)0x9e4, (q15_t)0x9de, (q15_t)0x9d8, (q15_t)0x9d1,
+ (q15_t)0x9cb, (q15_t)0x9c5, (q15_t)0x9bf, (q15_t)0x9b8, (q15_t)0x9b2, (q15_t)0x9ac, (q15_t)0x9a6, (q15_t)0x99f,
+ (q15_t)0x999, (q15_t)0x993, (q15_t)0x98d, (q15_t)0x986, (q15_t)0x980, (q15_t)0x97a, (q15_t)0x973, (q15_t)0x96d,
+ (q15_t)0x967, (q15_t)0x961, (q15_t)0x95a, (q15_t)0x954, (q15_t)0x94e, (q15_t)0x948, (q15_t)0x941, (q15_t)0x93b,
+ (q15_t)0x935, (q15_t)0x92f, (q15_t)0x928, (q15_t)0x922, (q15_t)0x91c, (q15_t)0x915, (q15_t)0x90f, (q15_t)0x909,
+ (q15_t)0x903, (q15_t)0x8fc, (q15_t)0x8f6, (q15_t)0x8f0, (q15_t)0x8ea, (q15_t)0x8e3, (q15_t)0x8dd, (q15_t)0x8d7,
+ (q15_t)0x8d1, (q15_t)0x8ca, (q15_t)0x8c4, (q15_t)0x8be, (q15_t)0x8b7, (q15_t)0x8b1, (q15_t)0x8ab, (q15_t)0x8a5,
+ (q15_t)0x89e, (q15_t)0x898, (q15_t)0x892, (q15_t)0x88c, (q15_t)0x885, (q15_t)0x87f, (q15_t)0x879, (q15_t)0x872,
+ (q15_t)0x86c, (q15_t)0x866, (q15_t)0x860, (q15_t)0x859, (q15_t)0x853, (q15_t)0x84d, (q15_t)0x847, (q15_t)0x840,
+ (q15_t)0x83a, (q15_t)0x834, (q15_t)0x82e, (q15_t)0x827, (q15_t)0x821, (q15_t)0x81b, (q15_t)0x814, (q15_t)0x80e,
+ (q15_t)0x808, (q15_t)0x802, (q15_t)0x7fb, (q15_t)0x7f5, (q15_t)0x7ef, (q15_t)0x7e9, (q15_t)0x7e2, (q15_t)0x7dc,
+ (q15_t)0x7d6, (q15_t)0x7cf, (q15_t)0x7c9, (q15_t)0x7c3, (q15_t)0x7bd, (q15_t)0x7b6, (q15_t)0x7b0, (q15_t)0x7aa,
+ (q15_t)0x7a4, (q15_t)0x79d, (q15_t)0x797, (q15_t)0x791, (q15_t)0x78a, (q15_t)0x784, (q15_t)0x77e, (q15_t)0x778,
+ (q15_t)0x771, (q15_t)0x76b, (q15_t)0x765, (q15_t)0x75f, (q15_t)0x758, (q15_t)0x752, (q15_t)0x74c, (q15_t)0x745,
+ (q15_t)0x73f, (q15_t)0x739, (q15_t)0x733, (q15_t)0x72c, (q15_t)0x726, (q15_t)0x720, (q15_t)0x71a, (q15_t)0x713,
+ (q15_t)0x70d, (q15_t)0x707, (q15_t)0x700, (q15_t)0x6fa, (q15_t)0x6f4, (q15_t)0x6ee, (q15_t)0x6e7, (q15_t)0x6e1,
+ (q15_t)0x6db, (q15_t)0x6d5, (q15_t)0x6ce, (q15_t)0x6c8, (q15_t)0x6c2, (q15_t)0x6bb, (q15_t)0x6b5, (q15_t)0x6af,
+ (q15_t)0x6a9, (q15_t)0x6a2, (q15_t)0x69c, (q15_t)0x696, (q15_t)0x690, (q15_t)0x689, (q15_t)0x683, (q15_t)0x67d,
+ (q15_t)0x676, (q15_t)0x670, (q15_t)0x66a, (q15_t)0x664, (q15_t)0x65d, (q15_t)0x657, (q15_t)0x651, (q15_t)0x64a,
+ (q15_t)0x644, (q15_t)0x63e, (q15_t)0x638, (q15_t)0x631, (q15_t)0x62b, (q15_t)0x625, (q15_t)0x61f, (q15_t)0x618,
+ (q15_t)0x612, (q15_t)0x60c, (q15_t)0x605, (q15_t)0x5ff, (q15_t)0x5f9, (q15_t)0x5f3, (q15_t)0x5ec, (q15_t)0x5e6,
+ (q15_t)0x5e0, (q15_t)0x5da, (q15_t)0x5d3, (q15_t)0x5cd, (q15_t)0x5c7, (q15_t)0x5c0, (q15_t)0x5ba, (q15_t)0x5b4,
+ (q15_t)0x5ae, (q15_t)0x5a7, (q15_t)0x5a1, (q15_t)0x59b, (q15_t)0x594, (q15_t)0x58e, (q15_t)0x588, (q15_t)0x582,
+ (q15_t)0x57b, (q15_t)0x575, (q15_t)0x56f, (q15_t)0x569, (q15_t)0x562, (q15_t)0x55c, (q15_t)0x556, (q15_t)0x54f,
+ (q15_t)0x549, (q15_t)0x543, (q15_t)0x53d, (q15_t)0x536, (q15_t)0x530, (q15_t)0x52a, (q15_t)0x523, (q15_t)0x51d,
+ (q15_t)0x517, (q15_t)0x511, (q15_t)0x50a, (q15_t)0x504, (q15_t)0x4fe, (q15_t)0x4f8, (q15_t)0x4f1, (q15_t)0x4eb,
+ (q15_t)0x4e5, (q15_t)0x4de, (q15_t)0x4d8, (q15_t)0x4d2, (q15_t)0x4cc, (q15_t)0x4c5, (q15_t)0x4bf, (q15_t)0x4b9,
+ (q15_t)0x4b2, (q15_t)0x4ac, (q15_t)0x4a6, (q15_t)0x4a0, (q15_t)0x499, (q15_t)0x493, (q15_t)0x48d, (q15_t)0x487,
+ (q15_t)0x480, (q15_t)0x47a, (q15_t)0x474, (q15_t)0x46d, (q15_t)0x467, (q15_t)0x461, (q15_t)0x45b, (q15_t)0x454,
+ (q15_t)0x44e, (q15_t)0x448, (q15_t)0x441, (q15_t)0x43b, (q15_t)0x435, (q15_t)0x42f, (q15_t)0x428, (q15_t)0x422,
+ (q15_t)0x41c, (q15_t)0x415, (q15_t)0x40f, (q15_t)0x409, (q15_t)0x403, (q15_t)0x3fc, (q15_t)0x3f6, (q15_t)0x3f0,
+ (q15_t)0x3ea, (q15_t)0x3e3, (q15_t)0x3dd, (q15_t)0x3d7, (q15_t)0x3d0, (q15_t)0x3ca, (q15_t)0x3c4, (q15_t)0x3be,
+ (q15_t)0x3b7, (q15_t)0x3b1, (q15_t)0x3ab, (q15_t)0x3a4, (q15_t)0x39e, (q15_t)0x398, (q15_t)0x392, (q15_t)0x38b,
+ (q15_t)0x385, (q15_t)0x37f, (q15_t)0x378, (q15_t)0x372, (q15_t)0x36c, (q15_t)0x366, (q15_t)0x35f, (q15_t)0x359,
+ (q15_t)0x353, (q15_t)0x34c, (q15_t)0x346, (q15_t)0x340, (q15_t)0x33a, (q15_t)0x333, (q15_t)0x32d, (q15_t)0x327,
+ (q15_t)0x321, (q15_t)0x31a, (q15_t)0x314, (q15_t)0x30e, (q15_t)0x307, (q15_t)0x301, (q15_t)0x2fb, (q15_t)0x2f5,
+ (q15_t)0x2ee, (q15_t)0x2e8, (q15_t)0x2e2, (q15_t)0x2db, (q15_t)0x2d5, (q15_t)0x2cf, (q15_t)0x2c9, (q15_t)0x2c2,
+ (q15_t)0x2bc, (q15_t)0x2b6, (q15_t)0x2af, (q15_t)0x2a9, (q15_t)0x2a3, (q15_t)0x29d, (q15_t)0x296, (q15_t)0x290,
+ (q15_t)0x28a, (q15_t)0x283, (q15_t)0x27d, (q15_t)0x277, (q15_t)0x271, (q15_t)0x26a, (q15_t)0x264, (q15_t)0x25e,
+ (q15_t)0x258, (q15_t)0x251, (q15_t)0x24b, (q15_t)0x245, (q15_t)0x23e, (q15_t)0x238, (q15_t)0x232, (q15_t)0x22c,
+ (q15_t)0x225, (q15_t)0x21f, (q15_t)0x219, (q15_t)0x212, (q15_t)0x20c, (q15_t)0x206, (q15_t)0x200, (q15_t)0x1f9,
+ (q15_t)0x1f3, (q15_t)0x1ed, (q15_t)0x1e6, (q15_t)0x1e0, (q15_t)0x1da, (q15_t)0x1d4, (q15_t)0x1cd, (q15_t)0x1c7,
+ (q15_t)0x1c1, (q15_t)0x1ba, (q15_t)0x1b4, (q15_t)0x1ae, (q15_t)0x1a8, (q15_t)0x1a1, (q15_t)0x19b, (q15_t)0x195,
+ (q15_t)0x18e, (q15_t)0x188, (q15_t)0x182, (q15_t)0x17c, (q15_t)0x175, (q15_t)0x16f, (q15_t)0x169, (q15_t)0x162,
+ (q15_t)0x15c, (q15_t)0x156, (q15_t)0x150, (q15_t)0x149, (q15_t)0x143, (q15_t)0x13d, (q15_t)0x137, (q15_t)0x130,
+ (q15_t)0x12a, (q15_t)0x124, (q15_t)0x11d, (q15_t)0x117, (q15_t)0x111, (q15_t)0x10b, (q15_t)0x104, (q15_t)0xfe,
+ (q15_t)0xf8, (q15_t)0xf1, (q15_t)0xeb, (q15_t)0xe5, (q15_t)0xdf, (q15_t)0xd8, (q15_t)0xd2, (q15_t)0xcc,
+ (q15_t)0xc5, (q15_t)0xbf, (q15_t)0xb9, (q15_t)0xb3, (q15_t)0xac, (q15_t)0xa6, (q15_t)0xa0, (q15_t)0x99,
+ (q15_t)0x93, (q15_t)0x8d, (q15_t)0x87, (q15_t)0x80, (q15_t)0x7a, (q15_t)0x74, (q15_t)0x6d, (q15_t)0x67,
+ (q15_t)0x61, (q15_t)0x5b, (q15_t)0x54, (q15_t)0x4e, (q15_t)0x48, (q15_t)0x41, (q15_t)0x3b, (q15_t)0x35,
+ (q15_t)0x2f, (q15_t)0x28, (q15_t)0x22, (q15_t)0x1c, (q15_t)0x15, (q15_t)0xf, (q15_t)0x9, (q15_t)0x3
+};
+ #endif
+
+/**
+ @par
+ Weights tables are generated using the formula : weights[n] = e^(-j*n*pi/(2*N))+ @par + C command to generate the table +
+ for (i = 0; i< N; i++)
+ {
+ weights[(2*i)] = cos(i*c);
+ weights[(2*i)+1] = -sin(i*c);
+ }
+ @par
+ where N is the Number of weights to be calculated and c is pi/(2*N)
+ @par
+ Convert the output to q31 format by multiplying with 2^31 and saturated if required.
+ @par
+ In the tables below the real and imaginary values are placed alternatively, hence the
+ array length is 2*N.
+ */
+
+/**
+ @par
+ cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))+ @par + C command to generate the table +
+ for (i = 0; i< N; i++)
+ {
+ cos_factors[i] = 2 * cos((2*i+1)*c/2);
+ }
+ @par
+ where N is the number of factors to generate and c is pi/(2*N)
+ @par
+ Then converted to q31 format by multiplying with 2^31 and saturated if required.
+*/
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
+ const q31_t WeightsQ31_128[256] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3,
+ (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f872bf3, (q31_t)0xf50497fb,
+ (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31,
+ (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7dd6668f, (q31_t)0xe8922622,
+ (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7c894bde, (q31_t)0xe26cb01b,
+ (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7aef6323, (q31_t)0xdc597781,
+ (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x7909a92d, (q31_t)0xd65c3b7b,
+ (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x76d94989, (q31_t)0xd078ad9e,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x745f9dd1, (q31_t)0xcab26fa9,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x719e2cd2, (q31_t)0xc50d1149,
+ (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3,
+ (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6b4af279, (q31_t)0xba32ca71,
+ (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x67bd0fbd, (q31_t)0xb5049368,
+ (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x63ef3290, (q31_t)0xb0049ab3,
+ (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5,
+ (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5b9d1154, (q31_t)0xa69b9b68,
+ (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x571deefa, (q31_t)0xa2386284,
+ (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x5269126e, (q31_t)0x9e0effc1,
+ (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4d8162c4, (q31_t)0x9a22042d,
+ (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4869e665, (q31_t)0x9673db94,
+ (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4325c135, (q31_t)0x9306cb04,
+ (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3db832a6, (q31_t)0x8fdcef66,
+ (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x382493b0, (q31_t)0x8cf83c30,
+ (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x326e54c7, (q31_t)0x8a5a7a31,
+ (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2c98fbba, (q31_t)0x88054677,
+ (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x26a82186, (q31_t)0x85fa1153,
+ (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x209f701c, (q31_t)0x843a1d70,
+ (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1a82a026, (q31_t)0x82c67f14,
+ (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x145576b1, (q31_t)0x81a01b6d,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a,
+ (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x07d95b9e, (q31_t)0x803daa6a,
+ (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x01921d20, (q31_t)0x800277a6
+};
+ const q31_t cos_factorsQ31_128[128] = {
+ (q31_t)0x7fff6216, (q31_t)0x7ffa72d1, (q31_t)0x7ff09478, (q31_t)0x7fe1c76b, (q31_t)0x7fce0c3e, (q31_t)0x7fb563b3,
+ (q31_t)0x7f97cebd, (q31_t)0x7f754e80,
+ (q31_t)0x7f4de451, (q31_t)0x7f2191b4, (q31_t)0x7ef05860, (q31_t)0x7eba3a39, (q31_t)0x7e7f3957, (q31_t)0x7e3f57ff,
+ (q31_t)0x7dfa98a8, (q31_t)0x7db0fdf8,
+ (q31_t)0x7d628ac6, (q31_t)0x7d0f4218, (q31_t)0x7cb72724, (q31_t)0x7c5a3d50, (q31_t)0x7bf88830, (q31_t)0x7b920b89,
+ (q31_t)0x7b26cb4f, (q31_t)0x7ab6cba4,
+ (q31_t)0x7a4210d8, (q31_t)0x79c89f6e, (q31_t)0x794a7c12, (q31_t)0x78c7aba2, (q31_t)0x78403329, (q31_t)0x77b417df,
+ (q31_t)0x77235f2d, (q31_t)0x768e0ea6,
+ (q31_t)0x75f42c0b, (q31_t)0x7555bd4c, (q31_t)0x74b2c884, (q31_t)0x740b53fb, (q31_t)0x735f6626, (q31_t)0x72af05a7,
+ (q31_t)0x71fa3949, (q31_t)0x71410805,
+ (q31_t)0x708378ff, (q31_t)0x6fc19385, (q31_t)0x6efb5f12, (q31_t)0x6e30e34a, (q31_t)0x6d6227fa, (q31_t)0x6c8f351c,
+ (q31_t)0x6bb812d1, (q31_t)0x6adcc964,
+ (q31_t)0x69fd614a, (q31_t)0x6919e320, (q31_t)0x683257ab, (q31_t)0x6746c7d8, (q31_t)0x66573cbb, (q31_t)0x6563bf92,
+ (q31_t)0x646c59bf, (q31_t)0x637114cc,
+ (q31_t)0x6271fa69, (q31_t)0x616f146c, (q31_t)0x60686ccf, (q31_t)0x5f5e0db3, (q31_t)0x5e50015d, (q31_t)0x5d3e5237,
+ (q31_t)0x5c290acc, (q31_t)0x5b1035cf,
+ (q31_t)0x59f3de12, (q31_t)0x58d40e8c, (q31_t)0x57b0d256, (q31_t)0x568a34a9, (q31_t)0x556040e2, (q31_t)0x5433027d,
+ (q31_t)0x53028518, (q31_t)0x51ced46e,
+ (q31_t)0x5097fc5e, (q31_t)0x4f5e08e3, (q31_t)0x4e210617, (q31_t)0x4ce10034, (q31_t)0x4b9e0390, (q31_t)0x4a581c9e,
+ (q31_t)0x490f57ee, (q31_t)0x47c3c22f,
+ (q31_t)0x46756828, (q31_t)0x452456bd, (q31_t)0x43d09aed, (q31_t)0x427a41d0, (q31_t)0x4121589b, (q31_t)0x3fc5ec98,
+ (q31_t)0x3e680b2c, (q31_t)0x3d07c1d6,
+ (q31_t)0x3ba51e29, (q31_t)0x3a402dd2, (q31_t)0x38d8fe93, (q31_t)0x376f9e46, (q31_t)0x36041ad9, (q31_t)0x34968250,
+ (q31_t)0x3326e2c3, (q31_t)0x31b54a5e,
+ (q31_t)0x3041c761, (q31_t)0x2ecc681e, (q31_t)0x2d553afc, (q31_t)0x2bdc4e6f, (q31_t)0x2a61b101, (q31_t)0x28e5714b,
+ (q31_t)0x27679df4, (q31_t)0x25e845b6,
+ (q31_t)0x24677758, (q31_t)0x22e541af, (q31_t)0x2161b3a0, (q31_t)0x1fdcdc1b, (q31_t)0x1e56ca1e, (q31_t)0x1ccf8cb3,
+ (q31_t)0x1b4732ef, (q31_t)0x19bdcbf3,
+ (q31_t)0x183366e9, (q31_t)0x16a81305, (q31_t)0x151bdf86, (q31_t)0x138edbb1, (q31_t)0x120116d5, (q31_t)0x1072a048,
+ (q31_t)0xee38766, (q31_t)0xd53db92,
+ (q31_t)0xbc3ac35, (q31_t)0xa3308bd, (q31_t)0x8a2009a, (q31_t)0x710a345, (q31_t)0x57f0035, (q31_t)0x3ed26e6, (q31_t)0x25b26d7,
+ (q31_t)0xc90f88
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
+ const q31_t WeightsQ31_512[1024] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f,
+ (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff871a2, (q31_t)0xfd40565c,
+ (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fed5791, (q31_t)0xfbae5e89,
+ (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157,
+ (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fc85854, (q31_t)0xf88afe42,
+ (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6,
+ (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b,
+ (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77,
+ (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f434563, (q31_t)0xf2482c8a,
+ (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401,
+ (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7ee34636, (q31_t)0xef29b243,
+ (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eabef2c, (q31_t)0xed9b66b2,
+ (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8,
+ (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a,
+ (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7de8a670, (q31_t)0xe8f50273,
+ (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8,
+ (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5,
+ (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb,
+ (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3,
+ (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c4242f2, (q31_t)0xe14794ba,
+ (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3,
+ (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b77ada8, (q31_t)0xde3d4964,
+ (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008,
+ (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd,
+ (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a24256f, (q31_t)0xd9b7c094,
+ (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79a98715, (q31_t)0xd838c82d,
+ (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x792a37fe, (q31_t)0xd6bb585e,
+ (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78a63d11, (q31_t)0xd53f7fda,
+ (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x781d9b65, (q31_t)0xd3c54d47,
+ (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x7790583e, (q31_t)0xd24ccf39,
+ (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x76fe790e, (q31_t)0xd0d61434,
+ (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x76680376, (q31_t)0xcf612aaa,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ccfd42, (q31_t)0xcdee20fc,
+ (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x752d6c6c, (q31_t)0xcc7d0578,
+ (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x7489571c, (q31_t)0xcb0de658,
+ (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x7333b883, (q31_t)0xc835d5d0,
+ (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72823c67, (q31_t)0xc6cd0079,
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+ (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x24070b08, (q31_t)0x852cc2bb,
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+ (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21009c0c, (q31_t)0x8453e2cf,
+ (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1f7b7481, (q31_t)0x83ee97ad,
+ (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1df5163f, (q31_t)0x838e1507,
+ (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1c6d9053, (q31_t)0x83325e97,
+ (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5,
+ (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x195b49ea, (q31_t)0x8289644b,
+ (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x17d0a7bc, (q31_t)0x823c26f3,
+ (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16451a83, (q31_t)0x81f3c2d7,
+ (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x14b8b17f, (q31_t)0x81b03ac2,
+ (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x132b7bf9, (q31_t)0x8171914e,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x119d8941, (q31_t)0x8137c8e6,
+ (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x100ee8ad, (q31_t)0x8102e3c4,
+ (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0f475bff, (q31_t)0x80ea4712, (q31_t)0x0ee38766, (q31_t)0x80de6e4c, (q31_t)0x0e7fa99e, (q31_t)0x80d2e3f2,
+ (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, (q31_t)0x0db7d376, (q31_t)0x80bcba9d, (q31_t)0x0d53db92, (q31_t)0x80b21baf, (q31_t)0x0cefdb76, (q31_t)0x80a7cb49,
+ (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0c27c389, (q31_t)0x8094162c, (q31_t)0x0bc3ac35, (q31_t)0x808ab180, (q31_t)0x0b5f8d9f, (q31_t)0x80819b74,
+ (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x0a973ba5, (q31_t)0x80705b50, (q31_t)0x0a3308bd, (q31_t)0x80683143, (q31_t)0x09cecf89, (q31_t)0x806055eb,
+ (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x09064b3a, (q31_t)0x80518b6b, (q31_t)0x08a2009a, (q31_t)0x804a9c4d, (q31_t)0x083db0a7, (q31_t)0x8043fbf6,
+ (q31_t)0x07d95b9e, (q31_t)0x803daa6a, (q31_t)0x077501be, (q31_t)0x8037a7ac, (q31_t)0x0710a345, (q31_t)0x8031f3c2, (q31_t)0x06ac406f, (q31_t)0x802c8ead,
+ (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x05e36ea9, (q31_t)0x8022b114, (q31_t)0x057f0035, (q31_t)0x801e3895, (q31_t)0x051a8e5c, (q31_t)0x801a0ef8,
+ (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x0451a177, (q31_t)0x8012a86f, (q31_t)0x03ed26e6, (q31_t)0x800f6b88, (q31_t)0x0388a9ea, (q31_t)0x800c7d8c,
+ (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x02bfa9a4, (q31_t)0x80078e5e, (q31_t)0x025b26d7, (q31_t)0x80058d2f, (q31_t)0x01f6a297, (q31_t)0x8003daf1,
+ (q31_t)0x01921d20, (q31_t)0x800277a6, (q31_t)0x012d96b1, (q31_t)0x8001634e, (q31_t)0x00c90f88, (q31_t)0x80009dea, (q31_t)0x006487e3, (q31_t)0x8000277a
+};
+ const q31_t cos_factorsQ31_512[512] = {
+ (q31_t)0x7ffff621, (q31_t)0x7fffa72c, (q31_t)0x7fff0943, (q31_t)0x7ffe1c65, (q31_t)0x7ffce093, (q31_t)0x7ffb55ce,
+ (q31_t)0x7ff97c18, (q31_t)0x7ff75370,
+ (q31_t)0x7ff4dbd9, (q31_t)0x7ff21553, (q31_t)0x7feeffe1, (q31_t)0x7feb9b85, (q31_t)0x7fe7e841, (q31_t)0x7fe3e616,
+ (q31_t)0x7fdf9508, (q31_t)0x7fdaf519,
+ (q31_t)0x7fd6064c, (q31_t)0x7fd0c8a3, (q31_t)0x7fcb3c23, (q31_t)0x7fc560cf, (q31_t)0x7fbf36aa, (q31_t)0x7fb8bdb8,
+ (q31_t)0x7fb1f5fc, (q31_t)0x7faadf7c,
+ (q31_t)0x7fa37a3c, (q31_t)0x7f9bc640, (q31_t)0x7f93c38c, (q31_t)0x7f8b7227, (q31_t)0x7f82d214, (q31_t)0x7f79e35a,
+ (q31_t)0x7f70a5fe, (q31_t)0x7f671a05,
+ (q31_t)0x7f5d3f75, (q31_t)0x7f531655, (q31_t)0x7f489eaa, (q31_t)0x7f3dd87c, (q31_t)0x7f32c3d1, (q31_t)0x7f2760af,
+ (q31_t)0x7f1baf1e, (q31_t)0x7f0faf25,
+ (q31_t)0x7f0360cb, (q31_t)0x7ef6c418, (q31_t)0x7ee9d914, (q31_t)0x7edc9fc6, (q31_t)0x7ecf1837, (q31_t)0x7ec14270,
+ (q31_t)0x7eb31e78, (q31_t)0x7ea4ac58,
+ (q31_t)0x7e95ec1a, (q31_t)0x7e86ddc6, (q31_t)0x7e778166, (q31_t)0x7e67d703, (q31_t)0x7e57dea7, (q31_t)0x7e47985b,
+ (q31_t)0x7e37042a, (q31_t)0x7e26221f,
+ (q31_t)0x7e14f242, (q31_t)0x7e0374a0, (q31_t)0x7df1a942, (q31_t)0x7ddf9034, (q31_t)0x7dcd2981, (q31_t)0x7dba7534,
+ (q31_t)0x7da77359, (q31_t)0x7d9423fc,
+ (q31_t)0x7d808728, (q31_t)0x7d6c9ce9, (q31_t)0x7d58654d, (q31_t)0x7d43e05e, (q31_t)0x7d2f0e2b, (q31_t)0x7d19eebf,
+ (q31_t)0x7d048228, (q31_t)0x7ceec873,
+ (q31_t)0x7cd8c1ae, (q31_t)0x7cc26de5, (q31_t)0x7cabcd28, (q31_t)0x7c94df83, (q31_t)0x7c7da505, (q31_t)0x7c661dbc,
+ (q31_t)0x7c4e49b7, (q31_t)0x7c362904,
+ (q31_t)0x7c1dbbb3, (q31_t)0x7c0501d2, (q31_t)0x7bebfb70, (q31_t)0x7bd2a89e, (q31_t)0x7bb9096b, (q31_t)0x7b9f1de6,
+ (q31_t)0x7b84e61f, (q31_t)0x7b6a6227,
+ (q31_t)0x7b4f920e, (q31_t)0x7b3475e5, (q31_t)0x7b190dbc, (q31_t)0x7afd59a4, (q31_t)0x7ae159ae, (q31_t)0x7ac50dec,
+ (q31_t)0x7aa8766f, (q31_t)0x7a8b9348,
+ (q31_t)0x7a6e648a, (q31_t)0x7a50ea47, (q31_t)0x7a332490, (q31_t)0x7a151378, (q31_t)0x79f6b711, (q31_t)0x79d80f6f,
+ (q31_t)0x79b91ca4, (q31_t)0x7999dec4,
+ (q31_t)0x797a55e0, (q31_t)0x795a820e, (q31_t)0x793a6361, (q31_t)0x7919f9ec, (q31_t)0x78f945c3, (q31_t)0x78d846fb,
+ (q31_t)0x78b6fda8, (q31_t)0x789569df,
+ (q31_t)0x78738bb3, (q31_t)0x7851633b, (q31_t)0x782ef08b, (q31_t)0x780c33b8, (q31_t)0x77e92cd9, (q31_t)0x77c5dc01,
+ (q31_t)0x77a24148, (q31_t)0x777e5cc3,
+ (q31_t)0x775a2e89, (q31_t)0x7735b6af, (q31_t)0x7710f54c, (q31_t)0x76ebea77, (q31_t)0x76c69647, (q31_t)0x76a0f8d2,
+ (q31_t)0x767b1231, (q31_t)0x7654e279,
+ (q31_t)0x762e69c4, (q31_t)0x7607a828, (q31_t)0x75e09dbd, (q31_t)0x75b94a9c, (q31_t)0x7591aedd, (q31_t)0x7569ca99,
+ (q31_t)0x75419de7, (q31_t)0x751928e0,
+ (q31_t)0x74f06b9e, (q31_t)0x74c7663a, (q31_t)0x749e18cd, (q31_t)0x74748371, (q31_t)0x744aa63f, (q31_t)0x74208150,
+ (q31_t)0x73f614c0, (q31_t)0x73cb60a8,
+ (q31_t)0x73a06522, (q31_t)0x73752249, (q31_t)0x73499838, (q31_t)0x731dc70a, (q31_t)0x72f1aed9, (q31_t)0x72c54fc1,
+ (q31_t)0x7298a9dd, (q31_t)0x726bbd48,
+ (q31_t)0x723e8a20, (q31_t)0x7211107e, (q31_t)0x71e35080, (q31_t)0x71b54a41, (q31_t)0x7186fdde, (q31_t)0x71586b74,
+ (q31_t)0x7129931f, (q31_t)0x70fa74fc,
+ (q31_t)0x70cb1128, (q31_t)0x709b67c0, (q31_t)0x706b78e3, (q31_t)0x703b44ad, (q31_t)0x700acb3c, (q31_t)0x6fda0cae,
+ (q31_t)0x6fa90921, (q31_t)0x6f77c0b3,
+ (q31_t)0x6f463383, (q31_t)0x6f1461b0, (q31_t)0x6ee24b57, (q31_t)0x6eaff099, (q31_t)0x6e7d5193, (q31_t)0x6e4a6e66,
+ (q31_t)0x6e174730, (q31_t)0x6de3dc11,
+ (q31_t)0x6db02d29, (q31_t)0x6d7c3a98, (q31_t)0x6d48047e, (q31_t)0x6d138afb, (q31_t)0x6cdece2f, (q31_t)0x6ca9ce3b,
+ (q31_t)0x6c748b3f, (q31_t)0x6c3f055d,
+ (q31_t)0x6c093cb6, (q31_t)0x6bd3316a, (q31_t)0x6b9ce39b, (q31_t)0x6b66536b, (q31_t)0x6b2f80fb, (q31_t)0x6af86c6c,
+ (q31_t)0x6ac115e2, (q31_t)0x6a897d7d,
+ (q31_t)0x6a51a361, (q31_t)0x6a1987b0, (q31_t)0x69e12a8c, (q31_t)0x69a88c19, (q31_t)0x696fac78, (q31_t)0x69368bce,
+ (q31_t)0x68fd2a3d, (q31_t)0x68c387e9,
+ (q31_t)0x6889a4f6, (q31_t)0x684f8186, (q31_t)0x68151dbe, (q31_t)0x67da79c3, (q31_t)0x679f95b7, (q31_t)0x676471c0,
+ (q31_t)0x67290e02, (q31_t)0x66ed6aa1,
+ (q31_t)0x66b187c3, (q31_t)0x6675658c, (q31_t)0x66390422, (q31_t)0x65fc63a9, (q31_t)0x65bf8447, (q31_t)0x65826622,
+ (q31_t)0x6545095f, (q31_t)0x65076e25,
+ (q31_t)0x64c99498, (q31_t)0x648b7ce0, (q31_t)0x644d2722, (q31_t)0x640e9386, (q31_t)0x63cfc231, (q31_t)0x6390b34a,
+ (q31_t)0x635166f9, (q31_t)0x6311dd64,
+ (q31_t)0x62d216b3, (q31_t)0x6292130c, (q31_t)0x6251d298, (q31_t)0x6211557e, (q31_t)0x61d09be5, (q31_t)0x618fa5f7,
+ (q31_t)0x614e73da, (q31_t)0x610d05b7,
+ (q31_t)0x60cb5bb7, (q31_t)0x60897601, (q31_t)0x604754bf, (q31_t)0x6004f819, (q31_t)0x5fc26038, (q31_t)0x5f7f8d46,
+ (q31_t)0x5f3c7f6b, (q31_t)0x5ef936d1,
+ (q31_t)0x5eb5b3a2, (q31_t)0x5e71f606, (q31_t)0x5e2dfe29, (q31_t)0x5de9cc33, (q31_t)0x5da5604f, (q31_t)0x5d60baa7,
+ (q31_t)0x5d1bdb65, (q31_t)0x5cd6c2b5,
+ (q31_t)0x5c9170bf, (q31_t)0x5c4be5b0, (q31_t)0x5c0621b2, (q31_t)0x5bc024f0, (q31_t)0x5b79ef96, (q31_t)0x5b3381ce,
+ (q31_t)0x5aecdbc5, (q31_t)0x5aa5fda5,
+ (q31_t)0x5a5ee79a, (q31_t)0x5a1799d1, (q31_t)0x59d01475, (q31_t)0x598857b2, (q31_t)0x594063b5, (q31_t)0x58f838a9,
+ (q31_t)0x58afd6bd, (q31_t)0x58673e1b,
+ (q31_t)0x581e6ef1, (q31_t)0x57d5696d, (q31_t)0x578c2dba, (q31_t)0x5742bc06, (q31_t)0x56f9147e, (q31_t)0x56af3750,
+ (q31_t)0x566524aa, (q31_t)0x561adcb9,
+ (q31_t)0x55d05faa, (q31_t)0x5585adad, (q31_t)0x553ac6ee, (q31_t)0x54efab9c, (q31_t)0x54a45be6, (q31_t)0x5458d7f9,
+ (q31_t)0x540d2005, (q31_t)0x53c13439,
+ (q31_t)0x537514c2, (q31_t)0x5328c1d0, (q31_t)0x52dc3b92, (q31_t)0x528f8238, (q31_t)0x524295f0, (q31_t)0x51f576ea,
+ (q31_t)0x51a82555, (q31_t)0x515aa162,
+ (q31_t)0x510ceb40, (q31_t)0x50bf031f, (q31_t)0x5070e92f, (q31_t)0x50229da1, (q31_t)0x4fd420a4, (q31_t)0x4f857269,
+ (q31_t)0x4f369320, (q31_t)0x4ee782fb,
+ (q31_t)0x4e984229, (q31_t)0x4e48d0dd, (q31_t)0x4df92f46, (q31_t)0x4da95d96, (q31_t)0x4d595bfe, (q31_t)0x4d092ab0,
+ (q31_t)0x4cb8c9dd, (q31_t)0x4c6839b7,
+ (q31_t)0x4c177a6e, (q31_t)0x4bc68c36, (q31_t)0x4b756f40, (q31_t)0x4b2423be, (q31_t)0x4ad2a9e2, (q31_t)0x4a8101de,
+ (q31_t)0x4a2f2be6, (q31_t)0x49dd282a,
+ (q31_t)0x498af6df, (q31_t)0x49389836, (q31_t)0x48e60c62, (q31_t)0x48935397, (q31_t)0x48406e08, (q31_t)0x47ed5be6,
+ (q31_t)0x479a1d67, (q31_t)0x4746b2bc,
+ (q31_t)0x46f31c1a, (q31_t)0x469f59b4, (q31_t)0x464b6bbe, (q31_t)0x45f7526b, (q31_t)0x45a30df0, (q31_t)0x454e9e80,
+ (q31_t)0x44fa0450, (q31_t)0x44a53f93,
+ (q31_t)0x4450507e, (q31_t)0x43fb3746, (q31_t)0x43a5f41e, (q31_t)0x4350873c, (q31_t)0x42faf0d4, (q31_t)0x42a5311b,
+ (q31_t)0x424f4845, (q31_t)0x41f93689,
+ (q31_t)0x41a2fc1a, (q31_t)0x414c992f, (q31_t)0x40f60dfb, (q31_t)0x409f5ab6, (q31_t)0x40487f94, (q31_t)0x3ff17cca,
+ (q31_t)0x3f9a5290, (q31_t)0x3f430119,
+ (q31_t)0x3eeb889c, (q31_t)0x3e93e950, (q31_t)0x3e3c2369, (q31_t)0x3de4371f, (q31_t)0x3d8c24a8, (q31_t)0x3d33ec39,
+ (q31_t)0x3cdb8e09, (q31_t)0x3c830a50,
+ (q31_t)0x3c2a6142, (q31_t)0x3bd19318, (q31_t)0x3b78a007, (q31_t)0x3b1f8848, (q31_t)0x3ac64c0f, (q31_t)0x3a6ceb96,
+ (q31_t)0x3a136712, (q31_t)0x39b9bebc,
+ (q31_t)0x395ff2c9, (q31_t)0x39060373, (q31_t)0x38abf0ef, (q31_t)0x3851bb77, (q31_t)0x37f76341, (q31_t)0x379ce885,
+ (q31_t)0x37424b7b, (q31_t)0x36e78c5b,
+ (q31_t)0x368cab5c, (q31_t)0x3631a8b8, (q31_t)0x35d684a6, (q31_t)0x357b3f5d, (q31_t)0x351fd918, (q31_t)0x34c4520d,
+ (q31_t)0x3468aa76, (q31_t)0x340ce28b,
+ (q31_t)0x33b0fa84, (q31_t)0x3354f29b, (q31_t)0x32f8cb07, (q31_t)0x329c8402, (q31_t)0x32401dc6, (q31_t)0x31e39889,
+ (q31_t)0x3186f487, (q31_t)0x312a31f8,
+ (q31_t)0x30cd5115, (q31_t)0x30705217, (q31_t)0x30133539, (q31_t)0x2fb5fab2, (q31_t)0x2f58a2be, (q31_t)0x2efb2d95,
+ (q31_t)0x2e9d9b70, (q31_t)0x2e3fec8b,
+ (q31_t)0x2de2211e, (q31_t)0x2d843964, (q31_t)0x2d263596, (q31_t)0x2cc815ee, (q31_t)0x2c69daa6, (q31_t)0x2c0b83fa,
+ (q31_t)0x2bad1221, (q31_t)0x2b4e8558,
+ (q31_t)0x2aefddd8, (q31_t)0x2a911bdc, (q31_t)0x2a323f9e, (q31_t)0x29d34958, (q31_t)0x29743946, (q31_t)0x29150fa1,
+ (q31_t)0x28b5cca5, (q31_t)0x2856708d,
+ (q31_t)0x27f6fb92, (q31_t)0x27976df1, (q31_t)0x2737c7e3, (q31_t)0x26d809a5, (q31_t)0x26783370, (q31_t)0x26184581,
+ (q31_t)0x25b84012, (q31_t)0x2558235f,
+ (q31_t)0x24f7efa2, (q31_t)0x2497a517, (q31_t)0x243743fa, (q31_t)0x23d6cc87, (q31_t)0x23763ef7, (q31_t)0x23159b88,
+ (q31_t)0x22b4e274, (q31_t)0x225413f8,
+ (q31_t)0x21f3304f, (q31_t)0x219237b5, (q31_t)0x21312a65, (q31_t)0x20d0089c, (q31_t)0x206ed295, (q31_t)0x200d888d,
+ (q31_t)0x1fac2abf, (q31_t)0x1f4ab968,
+ (q31_t)0x1ee934c3, (q31_t)0x1e879d0d, (q31_t)0x1e25f282, (q31_t)0x1dc4355e, (q31_t)0x1d6265dd, (q31_t)0x1d00843d,
+ (q31_t)0x1c9e90b8, (q31_t)0x1c3c8b8c,
+ (q31_t)0x1bda74f6, (q31_t)0x1b784d30, (q31_t)0x1b161479, (q31_t)0x1ab3cb0d, (q31_t)0x1a517128, (q31_t)0x19ef0707,
+ (q31_t)0x198c8ce7, (q31_t)0x192a0304,
+ (q31_t)0x18c7699b, (q31_t)0x1864c0ea, (q31_t)0x1802092c, (q31_t)0x179f429f, (q31_t)0x173c6d80, (q31_t)0x16d98a0c,
+ (q31_t)0x1676987f, (q31_t)0x16139918,
+ (q31_t)0x15b08c12, (q31_t)0x154d71aa, (q31_t)0x14ea4a1f, (q31_t)0x148715ae, (q31_t)0x1423d492, (q31_t)0x13c0870a,
+ (q31_t)0x135d2d53, (q31_t)0x12f9c7aa,
+ (q31_t)0x1296564d, (q31_t)0x1232d979, (q31_t)0x11cf516a, (q31_t)0x116bbe60, (q31_t)0x11082096, (q31_t)0x10a4784b,
+ (q31_t)0x1040c5bb, (q31_t)0xfdd0926,
+ (q31_t)0xf7942c7, (q31_t)0xf1572dc, (q31_t)0xeb199a4, (q31_t)0xe4db75b, (q31_t)0xde9cc40, (q31_t)0xd85d88f, (q31_t)0xd21dc87,
+ (q31_t)0xcbdd865,
+ (q31_t)0xc59cc68, (q31_t)0xbf5b8cb, (q31_t)0xb919dcf, (q31_t)0xb2d7baf, (q31_t)0xac952aa, (q31_t)0xa6522fe, (q31_t)0xa00ece8,
+ (q31_t)0x99cb0a7,
+ (q31_t)0x9386e78, (q31_t)0x8d42699, (q31_t)0x86fd947, (q31_t)0x80b86c2, (q31_t)0x7a72f45, (q31_t)0x742d311, (q31_t)0x6de7262,
+ (q31_t)0x67a0d76,
+ (q31_t)0x615a48b, (q31_t)0x5b137df, (q31_t)0x54cc7b1, (q31_t)0x4e8543e, (q31_t)0x483ddc3, (q31_t)0x41f6480, (q31_t)0x3bae8b2,
+ (q31_t)0x3566a96,
+ (q31_t)0x2f1ea6c, (q31_t)0x28d6870, (q31_t)0x228e4e2, (q31_t)0x1c45ffe, (q31_t)0x15fda03, (q31_t)0xfb5330, (q31_t)0x96cbc1,
+ (q31_t)0x3243f5
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
+ const q31_t WeightsQ31_2048[4096] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7fffe9cb, (q31_t)0xffb49a12,
+ (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff8719, (q31_t)0xff501258,
+ (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a,
+ (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffdd4d7, (q31_t)0xfe870467,
+ (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffc8549, (q31_t)0xfe227eac,
+ (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18,
+ (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff8f954, (q31_t)0xfd5976e9,
+ (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c,
+ (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4319d, (q31_t)0xfc9075af,
+ (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1575d, (q31_t)0xfc2bf821,
+ (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0,
+ (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feab61a, (q31_t)0xfb630459,
+ (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b,
+ (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3,
+ (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fde7471, (q31_t)0xfa35ac9f,
+ (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de,
+ (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed,
+ (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fcf6ce8, (q31_t)0xf908750a,
+ (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574,
+ (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc3dda9, (q31_t)0xf83fba68,
+ (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423,
+ (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5,
+ (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb037bf, (q31_t)0xf712c6ea,
+ (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071,
+ (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8,
+ (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc,
+ (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f91b694, (q31_t)0xf581d07b,
+ (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f895182, (q31_t)0xf51da273,
+ (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f809dc5, (q31_t)0xf4b97b21,
+ (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f779b62, (q31_t)0xf4555ac5,
+ (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f72fcb4, (q31_t)0xf4234d45, (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a,
+ (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0,
+ (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5abc8a, (q31_t)0xf32925d3,
+ (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f507fc7, (q31_t)0xf2c523b2,
+ (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f45f47b, (q31_t)0xf26129ba,
+ (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829,
+ (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f2ff263, (q31_t)0xf1994f3d,
+ (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f247ba5, (q31_t)0xf1356f32,
+ (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f18b679, (q31_t)0xf0d19848,
+ (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba,
+ (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f0040f6, (q31_t)0xf00a06c8,
+ (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef390ae, (q31_t)0xefa64cae,
+ (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee69217, (q31_t)0xef429caa,
+ (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7ed94538, (q31_t)0xeedef6f9,
+ (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9,
+ (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88,
+ (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eaf8943, (q31_t)0xedb44642,
+ (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea1039b, (q31_t)0xed50cc46,
+ (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e922fd6, (q31_t)0xeced5dd0,
+ (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e830dff, (q31_t)0xec89fb1e,
+ (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e739e1d, (q31_t)0xec26a46d,
+ (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e63e03b, (q31_t)0xebc359fb,
+ (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e53d462, (q31_t)0xeb601c04,
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+ (q31_t)0x76fe790e, (q31_t)0xd0d61434, (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e29c4b, (q31_t)0xd0900486,
+ (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76cff232, (q31_t)0xd061588b, (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76bd35c7, (q31_t)0xd032b3e7,
+ (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x76978605, (q31_t)0xcfd580c6,
+ (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x76718d1c, (q31_t)0xcf786b5a,
+ (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x764b4b23, (q31_t)0xcf1b73de,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x7624c031, (q31_t)0xcebe9a8a,
+ (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x75fdec60, (q31_t)0xce61df99,
+ (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75d6cfc5, (q31_t)0xce054343,
+ (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75af6a7b, (q31_t)0xcda8c5c1,
+ (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x7587bc98, (q31_t)0xcd4c674d,
+ (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x755fc635, (q31_t)0xccf0281f,
+ (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x7537876c, (q31_t)0xcc940871,
+ (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x750f0054, (q31_t)0xcc38087b,
+ (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74e63108, (q31_t)0xcbdc2876,
+ (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74bd199f, (q31_t)0xcb80689a,
+ (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x7493ba34, (q31_t)0xcb24c921,
+ (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x746a12df, (q31_t)0xcac94a42,
+ (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x744023bc, (q31_t)0xca6dec37,
+ (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x7415ece2, (q31_t)0xca12af37,
+ (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a,
+ (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c0a878, (q31_t)0xc95c993a,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x73959b1b, (q31_t)0xc901c0ae,
+ (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x736a4671, (q31_t)0xc8a70a0e,
+ (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x733eaa96, (q31_t)0xc84c7593,
+ (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x7312c7a5, (q31_t)0xc7f20373,
+ (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72e69db7, (q31_t)0xc797b3e7,
+ (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72ba2cea, (q31_t)0xc73d8727,
+ (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x728d7557, (q31_t)0xc6e37d69,
+ (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7260771b, (q31_t)0xc68996e7,
+ (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x72333251, (q31_t)0xc62fd3d6,
+ (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x7205a716, (q31_t)0xc5d6346f,
+ (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71d7d585, (q31_t)0xc57cb8e9,
+ (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71a9bdba, (q31_t)0xc523617a,
+ (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b,
+ (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x714cbbeb, (q31_t)0xc4711fc2,
+ (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x711dd220, (q31_t)0xc41835e6,
+ (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70eea28e, (q31_t)0xc3bf70fd,
+ (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70bf2d53, (q31_t)0xc366d140,
+ (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x708f728b, (q31_t)0xc30e56e4,
+ (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x705f7255, (q31_t)0xc2b6021f,
+ (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x702f2ccd, (q31_t)0xc25dd329,
+ (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x6ffea212, (q31_t)0xc205ca38,
+ (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fcdd241, (q31_t)0xc1ade781,
+ (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d,
+ (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f,
+ (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f39c57d, (q31_t)0xc0a726df,
+ (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f07e285, (q31_t)0xc04fdf32,
+ (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6ed5bb10, (q31_t)0xbff8bece,
+ (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea,
+ (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba,
+ (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e3daaf8, (q31_t)0xbef44b74,
+ (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e,
+ (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c,
+ (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6da336dc, (q31_t)0xbdf14135,
+ (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad,
+ (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a,
+ (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d066215, (q31_t)0xbcefa5b0,
+ (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5,
+ (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c,
+ (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c67300b, (q31_t)0xbbef7e7c,
+ (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c319975, (q31_t)0xbb9a6fc7,
+ (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6bfbc021, (q31_t)0xbb458b43,
+ (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bc5a431, (q31_t)0xbaf0d125,
+ (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6baa7d49, (q31_t)0xbac6840c, (q31_t)0x6b9ce39b, (q31_t)0xbab16180, (q31_t)0x6b8f45c7, (q31_t)0xba9c41a0,
+ (q31_t)0x6b81a3cd, (q31_t)0xba87246d, (q31_t)0x6b73fdae, (q31_t)0xba7209e7, (q31_t)0x6b66536b, (q31_t)0xba5cf210, (q31_t)0x6b58a503, (q31_t)0xba47dce8,
+ (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b3d3bcb, (q31_t)0xba1dbaaa, (q31_t)0x6b2f80fb, (q31_t)0xba08ad95, (q31_t)0x6b21c208, (q31_t)0xb9f3a332,
+ (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6b0637c1, (q31_t)0xb9c99688, (q31_t)0x6af86c6c, (q31_t)0xb9b49442, (q31_t)0x6aea9cf8, (q31_t)0xb99f94b2,
+ (q31_t)0x6adcc964, (q31_t)0xb98a97d8, (q31_t)0x6acef1b2, (q31_t)0xb9759db6, (q31_t)0x6ac115e2, (q31_t)0xb960a64c, (q31_t)0x6ab335f4, (q31_t)0xb94bb19b,
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+ (q31_t)0x3158970e, (q31_t)0x89e4edef, (q31_t)0x31416576, (q31_t)0x89db3fcf, (q31_t)0x312a31f8, (q31_t)0x89d1963c, (q31_t)0x3112fc95, (q31_t)0x89c7f138,
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+ (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x308794a6, (q31_t)0x898e72e4, (q31_t)0x30705217, (q31_t)0x8984edcf, (q31_t)0x30590dab, (q31_t)0x897b6d4c,
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+ (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f6ffb7a, (q31_t)0x891d63b5, (q31_t)0x2f58a2be, (q31_t)0x89141589, (q31_t)0x2f41482e, (q31_t)0x890acbf2,
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+ (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d0eb046, (q31_t)0x883148db,
+ (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cb089b1, (q31_t)0x880e0a7f,
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+ (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5,
+ (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2b957173, (q31_t)0x87a60bb1,
+ (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca,
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+ (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a796740, (q31_t)0x8740a907,
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+ (q31_t)0x22847de0, (q31_t)0x84bdf286, (q31_t)0x226c4996, (q31_t)0x84b72ddb, (q31_t)0x225413f8, (q31_t)0x84b06df2, (q31_t)0x223bdd08, (q31_t)0x84a9b2ca,
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+ (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c861113, (q31_t)0x8337f5f1,
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+ (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b5fc097, (q31_t)0x82f61b77,
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+ (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x1973ebe6, (q31_t)0x828e6146,
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+ (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17e958ea, (q31_t)0x8240d673,
+ (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x17868eb3, (q31_t)0x822e358b,
+ (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x1723b5f9, (q31_t)0x821be240,
+ (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16c0cef9, (q31_t)0x8209dc9e,
+ (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x165dd9f0, (q31_t)0x81f824ae,
+ (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x15fad71b, (q31_t)0x81e6ba7c,
+ (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x1597c6b7, (q31_t)0x81d59e13,
+ (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x1534a901, (q31_t)0x81c4cf7d,
+ (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14d17e36, (q31_t)0x81b44ec4,
+ (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x146e4694, (q31_t)0x81a41bf4,
+ (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x140b0258, (q31_t)0x81943715,
+ (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13a7b1bf, (q31_t)0x8184a032,
+ (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x13445505, (q31_t)0x81755754,
+ (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12e0ec6a, (q31_t)0x81665c84,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x127d7829, (q31_t)0x8157afcd,
+ (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x1219f880, (q31_t)0x81495136,
+ (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11b66dad, (q31_t)0x813b40ca,
+ (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x1152d7ed, (q31_t)0x812d7e8f,
+ (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x10ef377d, (q31_t)0x81200a90,
+ (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x108b8c9b, (q31_t)0x8112e4d4,
+ (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x1027d784, (q31_t)0x81060d63,
+ (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfc41876, (q31_t)0x80f98446,
+ (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf604faf, (q31_t)0x80ed4984,
+ (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xefc7d6b, (q31_t)0x80e15d24,
+ (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e,
+ (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe34bd66, (q31_t)0x80ca6fa9,
+ (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c,
+ (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd6cda53, (q31_t)0x80b4bc0e,
+ (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd08dc3f, (q31_t)0x80aa5806,
+ (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xca4d620, (q31_t)0x80a04289,
+ (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc40c835, (q31_t)0x80967b9f,
+ (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbdcb2bb, (q31_t)0x808d034c,
+ (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb7895f0, (q31_t)0x8083d998,
+ (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb147211, (q31_t)0x807afe87,
+ (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xab0475c, (q31_t)0x8072721f,
+ (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa4c1610, (q31_t)0x806a3466,
+ (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9e7de6a, (q31_t)0x80624560,
+ (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x983a0a7, (q31_t)0x805aa512,
+ (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x91f5d06, (q31_t)0x80535381,
+ (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8bb13c5, (q31_t)0x804c50b2,
+ (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x856c520, (q31_t)0x80459ca9,
+ (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x7f27157, (q31_t)0x803f376a,
+ (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x78e18a7, (q31_t)0x803920f8,
+ (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x729bb4e, (q31_t)0x80335959,
+ (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6c5598a, (q31_t)0x802de08e,
+ (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x660f398, (q31_t)0x8028b69c,
+ (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x5fc89b8, (q31_t)0x8023db86,
+ (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5981c26, (q31_t)0x801f4f4f,
+ (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x533ab20, (q31_t)0x801b11fa,
+ (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4cf36e5, (q31_t)0x80172388,
+ (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x46abfb3, (q31_t)0x801383fe,
+ (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x40645c7, (q31_t)0x8010335c,
+ (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3a1c960, (q31_t)0x800d31a5,
+ (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x33d4abb, (q31_t)0x800a7edb,
+ (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2d8ca16, (q31_t)0x80081b00,
+ (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x27447b0, (q31_t)0x80060614,
+ (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x20fc3c6, (q31_t)0x8004401a,
+ (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1ab3e97, (q31_t)0x8002c912,
+ (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x146b860, (q31_t)0x8001a0fd,
+ (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0xe23160, (q31_t)0x8000c7dc,
+ (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x7da9d4, (q31_t)0x80003daf,
+ (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x1921fb, (q31_t)0x80000278
+};
+ const q31_t cos_factorsQ31_2048[2048] = {
+ (q31_t)0x7fffff62, (q31_t)0x7ffffa73, (q31_t)0x7ffff094, (q31_t)0x7fffe1c6, (q31_t)0x7fffce09, (q31_t)0x7fffb55c,
+ (q31_t)0x7fff97c1, (q31_t)0x7fff7536,
+ (q31_t)0x7fff4dbb, (q31_t)0x7fff2151, (q31_t)0x7ffeeff8, (q31_t)0x7ffeb9b0, (q31_t)0x7ffe7e79, (q31_t)0x7ffe3e52,
+ (q31_t)0x7ffdf93c, (q31_t)0x7ffdaf37,
+ (q31_t)0x7ffd6042, (q31_t)0x7ffd0c5f, (q31_t)0x7ffcb38c, (q31_t)0x7ffc55ca, (q31_t)0x7ffbf319, (q31_t)0x7ffb8b78,
+ (q31_t)0x7ffb1ee9, (q31_t)0x7ffaad6a,
+ (q31_t)0x7ffa36fc, (q31_t)0x7ff9bba0, (q31_t)0x7ff93b54, (q31_t)0x7ff8b619, (q31_t)0x7ff82bef, (q31_t)0x7ff79cd6,
+ (q31_t)0x7ff708ce, (q31_t)0x7ff66fd7,
+ (q31_t)0x7ff5d1f1, (q31_t)0x7ff52f1d, (q31_t)0x7ff48759, (q31_t)0x7ff3daa6, (q31_t)0x7ff32905, (q31_t)0x7ff27275,
+ (q31_t)0x7ff1b6f6, (q31_t)0x7ff0f688,
+ (q31_t)0x7ff0312c, (q31_t)0x7fef66e1, (q31_t)0x7fee97a7, (q31_t)0x7fedc37e, (q31_t)0x7fecea67, (q31_t)0x7fec0c62,
+ (q31_t)0x7feb296d, (q31_t)0x7fea418b,
+ (q31_t)0x7fe954ba, (q31_t)0x7fe862fa, (q31_t)0x7fe76c4c, (q31_t)0x7fe670b0, (q31_t)0x7fe57025, (q31_t)0x7fe46aac,
+ (q31_t)0x7fe36045, (q31_t)0x7fe250ef,
+ (q31_t)0x7fe13cac, (q31_t)0x7fe0237a, (q31_t)0x7fdf055a, (q31_t)0x7fdde24d, (q31_t)0x7fdcba51, (q31_t)0x7fdb8d67,
+ (q31_t)0x7fda5b8f, (q31_t)0x7fd924ca,
+ (q31_t)0x7fd7e917, (q31_t)0x7fd6a875, (q31_t)0x7fd562e7, (q31_t)0x7fd4186a, (q31_t)0x7fd2c900, (q31_t)0x7fd174a8,
+ (q31_t)0x7fd01b63, (q31_t)0x7fcebd31,
+ (q31_t)0x7fcd5a11, (q31_t)0x7fcbf203, (q31_t)0x7fca8508, (q31_t)0x7fc91320, (q31_t)0x7fc79c4b, (q31_t)0x7fc62089,
+ (q31_t)0x7fc49fda, (q31_t)0x7fc31a3d,
+ (q31_t)0x7fc18fb4, (q31_t)0x7fc0003e, (q31_t)0x7fbe6bdb, (q31_t)0x7fbcd28b, (q31_t)0x7fbb344e, (q31_t)0x7fb99125,
+ (q31_t)0x7fb7e90f, (q31_t)0x7fb63c0d,
+ (q31_t)0x7fb48a1e, (q31_t)0x7fb2d343, (q31_t)0x7fb1177b, (q31_t)0x7faf56c7, (q31_t)0x7fad9127, (q31_t)0x7fabc69b,
+ (q31_t)0x7fa9f723, (q31_t)0x7fa822bf,
+ (q31_t)0x7fa6496e, (q31_t)0x7fa46b32, (q31_t)0x7fa2880b, (q31_t)0x7fa09ff7, (q31_t)0x7f9eb2f8, (q31_t)0x7f9cc10d,
+ (q31_t)0x7f9aca37, (q31_t)0x7f98ce76,
+ (q31_t)0x7f96cdc9, (q31_t)0x7f94c831, (q31_t)0x7f92bdad, (q31_t)0x7f90ae3f, (q31_t)0x7f8e99e6, (q31_t)0x7f8c80a1,
+ (q31_t)0x7f8a6272, (q31_t)0x7f883f58,
+ (q31_t)0x7f861753, (q31_t)0x7f83ea64, (q31_t)0x7f81b88a, (q31_t)0x7f7f81c6, (q31_t)0x7f7d4617, (q31_t)0x7f7b057e,
+ (q31_t)0x7f78bffb, (q31_t)0x7f76758e,
+ (q31_t)0x7f742637, (q31_t)0x7f71d1f6, (q31_t)0x7f6f78cb, (q31_t)0x7f6d1ab6, (q31_t)0x7f6ab7b8, (q31_t)0x7f684fd0,
+ (q31_t)0x7f65e2ff, (q31_t)0x7f637144,
+ (q31_t)0x7f60faa0, (q31_t)0x7f5e7f13, (q31_t)0x7f5bfe9d, (q31_t)0x7f59793e, (q31_t)0x7f56eef5, (q31_t)0x7f545fc5,
+ (q31_t)0x7f51cbab, (q31_t)0x7f4f32a9,
+ (q31_t)0x7f4c94be, (q31_t)0x7f49f1eb, (q31_t)0x7f474a30, (q31_t)0x7f449d8c, (q31_t)0x7f41ec01, (q31_t)0x7f3f358d,
+ (q31_t)0x7f3c7a31, (q31_t)0x7f39b9ee,
+ (q31_t)0x7f36f4c3, (q31_t)0x7f342ab1, (q31_t)0x7f315bb7, (q31_t)0x7f2e87d6, (q31_t)0x7f2baf0d, (q31_t)0x7f28d15d,
+ (q31_t)0x7f25eec7, (q31_t)0x7f230749,
+ (q31_t)0x7f201ae5, (q31_t)0x7f1d299a, (q31_t)0x7f1a3368, (q31_t)0x7f173850, (q31_t)0x7f143852, (q31_t)0x7f11336d,
+ (q31_t)0x7f0e29a3, (q31_t)0x7f0b1af2,
+ (q31_t)0x7f08075c, (q31_t)0x7f04eedf, (q31_t)0x7f01d17d, (q31_t)0x7efeaf36, (q31_t)0x7efb8809, (q31_t)0x7ef85bf7,
+ (q31_t)0x7ef52b00, (q31_t)0x7ef1f524,
+ (q31_t)0x7eeeba62, (q31_t)0x7eeb7abc, (q31_t)0x7ee83632, (q31_t)0x7ee4ecc3, (q31_t)0x7ee19e6f, (q31_t)0x7ede4b38,
+ (q31_t)0x7edaf31c, (q31_t)0x7ed7961c,
+ (q31_t)0x7ed43438, (q31_t)0x7ed0cd70, (q31_t)0x7ecd61c5, (q31_t)0x7ec9f137, (q31_t)0x7ec67bc5, (q31_t)0x7ec3016f,
+ (q31_t)0x7ebf8237, (q31_t)0x7ebbfe1c,
+ (q31_t)0x7eb8751e, (q31_t)0x7eb4e73d, (q31_t)0x7eb1547a, (q31_t)0x7eadbcd4, (q31_t)0x7eaa204c, (q31_t)0x7ea67ee2,
+ (q31_t)0x7ea2d896, (q31_t)0x7e9f2d68,
+ (q31_t)0x7e9b7d58, (q31_t)0x7e97c867, (q31_t)0x7e940e94, (q31_t)0x7e904fe0, (q31_t)0x7e8c8c4b, (q31_t)0x7e88c3d5,
+ (q31_t)0x7e84f67e, (q31_t)0x7e812447,
+ (q31_t)0x7e7d4d2f, (q31_t)0x7e797136, (q31_t)0x7e75905d, (q31_t)0x7e71aaa4, (q31_t)0x7e6dc00c, (q31_t)0x7e69d093,
+ (q31_t)0x7e65dc3b, (q31_t)0x7e61e303,
+ (q31_t)0x7e5de4ec, (q31_t)0x7e59e1f5, (q31_t)0x7e55da20, (q31_t)0x7e51cd6c, (q31_t)0x7e4dbbd9, (q31_t)0x7e49a567,
+ (q31_t)0x7e458a17, (q31_t)0x7e4169e9,
+ (q31_t)0x7e3d44dd, (q31_t)0x7e391af3, (q31_t)0x7e34ec2b, (q31_t)0x7e30b885, (q31_t)0x7e2c8002, (q31_t)0x7e2842a2,
+ (q31_t)0x7e240064, (q31_t)0x7e1fb94a,
+ (q31_t)0x7e1b6d53, (q31_t)0x7e171c7f, (q31_t)0x7e12c6ce, (q31_t)0x7e0e6c42, (q31_t)0x7e0a0cd9, (q31_t)0x7e05a894,
+ (q31_t)0x7e013f74, (q31_t)0x7dfcd178,
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+ (q31_t)0x7db81936, (q31_t)0x7db35d98,
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+ (q31_t)0x7d414a51, (q31_t)0x7d3c1a98,
+ (q31_t)0x7d36e60b, (q31_t)0x7d31acaa, (q31_t)0x7d2c6e76, (q31_t)0x7d272b6e, (q31_t)0x7d21e393, (q31_t)0x7d1c96e5,
+ (q31_t)0x7d174564, (q31_t)0x7d11ef11,
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+ (q31_t)0x7cec0bd1, (q31_t)0x7ce68ef0,
+ (q31_t)0x7ce10d3f, (q31_t)0x7cdb86bd, (q31_t)0x7cd5fb6a, (q31_t)0x7cd06b48, (q31_t)0x7ccad656, (q31_t)0x7cc53c94,
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+ (q31_t)0x7cb45272, (q31_t)0x7caea574, (q31_t)0x7ca8f3a7, (q31_t)0x7ca33d0c, (q31_t)0x7c9d81a3, (q31_t)0x7c97c16b,
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+ (q31_t)0x7c26edab, (q31_t)0x7c20cd8d, (q31_t)0x7c1aa8a6, (q31_t)0x7c147ef6, (q31_t)0x7c0e507e, (q31_t)0x7c081d3d,
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+ (q31_t)0x7bcf78e5, (q31_t)0x7bc915dd,
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+ (q31_t)0x7b8ec3f8, (q31_t)0x7b883143, (q31_t)0x7b8199ca, (q31_t)0x7b7afd8f, (q31_t)0x7b745c91, (q31_t)0x7b6db6d0,
+ (q31_t)0x7b670c4d, (q31_t)0x7b605d09,
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+ (q31_t)0x7b310d07, (q31_t)0x7b2a37bc,
+ (q31_t)0x7b235db2, (q31_t)0x7b1c7ee8, (q31_t)0x7b159b5f, (q31_t)0x7b0eb318, (q31_t)0x7b07c612, (q31_t)0x7b00d44d,
+ (q31_t)0x7af9ddcb, (q31_t)0x7af2e28b,
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+ (q31_t)0x7ac17f20, (q31_t)0x7aba5dfc,
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+ (q31_t)0x7a87f192, (q31_t)0x7a80aa9c,
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+ (q31_t)0x7a4d35b0, (q31_t)0x7a45c8f9,
+ (q31_t)0x7a3e578b, (q31_t)0x7a36e166, (q31_t)0x7a2f668c, (q31_t)0x7a27e6fb, (q31_t)0x7a2062b5, (q31_t)0x7a18d9b9,
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+ (q31_t)0x79d43532, (q31_t)0x79cc7d31,
+ (q31_t)0x79c4c07e, (q31_t)0x79bcff19, (q31_t)0x79b53903, (q31_t)0x79ad6e3c, (q31_t)0x79a59ec3, (q31_t)0x799dca9a,
+ (q31_t)0x7995f1c1, (q31_t)0x798e1438,
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+ (q31_t)0x79568250, (q31_t)0x794e7f52,
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+ (q31_t)0x7915e77c, (q31_t)0x790dbf1d,
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+ (q31_t)0x78d421e4, (q31_t)0x78cbd437,
+ (q31_t)0x78c381e2, (q31_t)0x78bb2ae5, (q31_t)0x78b2cf41, (q31_t)0x78aa6ef5, (q31_t)0x78a20a03, (q31_t)0x7899a06a,
+ (q31_t)0x7891322a, (q31_t)0x7888bf45,
+ (q31_t)0x788047ba, (q31_t)0x7877cb89, (q31_t)0x786f4ab4, (q31_t)0x7866c53a, (q31_t)0x785e3b1c, (q31_t)0x7855ac5a,
+ (q31_t)0x784d18f4, (q31_t)0x784480ea,
+ (q31_t)0x783be43e, (q31_t)0x783342ef, (q31_t)0x782a9cfe, (q31_t)0x7821f26b, (q31_t)0x78194336, (q31_t)0x78108f60,
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+ (q31_t)0x77f65819, (q31_t)0x77ed91c0, (q31_t)0x77e4c6c9, (q31_t)0x77dbf732, (q31_t)0x77d322fc, (q31_t)0x77ca4a27,
+ (q31_t)0x77c16cb4, (q31_t)0x77b88aa3,
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+ (q31_t)0x7779db03, (q31_t)0x7770d40f,
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+ (q31_t)0x77312287, (q31_t)0x7727f6c6,
+ (q31_t)0x771ec66e, (q31_t)0x7715917d, (q31_t)0x770c57f5, (q31_t)0x770319d6, (q31_t)0x76f9d721, (q31_t)0x76f08fd5,
+ (q31_t)0x76e743f4, (q31_t)0x76ddf37c,
+ (q31_t)0x76d49e70, (q31_t)0x76cb44cf, (q31_t)0x76c1e699, (q31_t)0x76b883d0, (q31_t)0x76af1c72, (q31_t)0x76a5b082,
+ (q31_t)0x769c3ffe, (q31_t)0x7692cae8,
+ (q31_t)0x7689513f, (q31_t)0x767fd304, (q31_t)0x76765038, (q31_t)0x766cc8db, (q31_t)0x76633ced, (q31_t)0x7659ac6f,
+ (q31_t)0x76501760, (q31_t)0x76467dc2,
+ (q31_t)0x763cdf94, (q31_t)0x76333cd8, (q31_t)0x7629958c, (q31_t)0x761fe9b3, (q31_t)0x7616394c, (q31_t)0x760c8457,
+ (q31_t)0x7602cad5, (q31_t)0x75f90cc7,
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+ (q31_t)0x75b45b1d, (q31_t)0x75aa78b6,
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+ (q31_t)0x7564c8f8, (q31_t)0x755ac251,
+ (q31_t)0x7550b725, (q31_t)0x7546a772, (q31_t)0x753c933a, (q31_t)0x75327a7d, (q31_t)0x75285d3b, (q31_t)0x751e3b75,
+ (q31_t)0x7514152b, (q31_t)0x7509ea5d,
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+ (q31_t)0x74c2407d, (q31_t)0x74b7f1a1,
+ (q31_t)0x74ad9e46, (q31_t)0x74a3466b, (q31_t)0x7498ea11, (q31_t)0x748e8938, (q31_t)0x748423e0, (q31_t)0x7479ba0b,
+ (q31_t)0x746f4bb8, (q31_t)0x7464d8e8,
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+ (q31_t)0x741b37a9, (q31_t)0x7410a0fe,
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+ (q31_t)0x73c6051f, (q31_t)0x73bb4ab3,
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+ (q31_t)0x736fb4ec, (q31_t)0x7364d6da,
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+ (q31_t)0x731847e5, (q31_t)0x730d4648,
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+ (q31_t)0x72bfbee3, (q31_t)0x72b499d6,
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+ (q31_t)0x72661abf, (q31_t)0x725ad25d,
+ (q31_t)0x724f8593, (q31_t)0x72443460, (q31_t)0x7238dec5, (q31_t)0x722d84c4, (q31_t)0x7222265b, (q31_t)0x7216c38c,
+ (q31_t)0x720b5c57, (q31_t)0x71fff0bc,
+ (q31_t)0x71f480bc, (q31_t)0x71e90c57, (q31_t)0x71dd938f, (q31_t)0x71d21662, (q31_t)0x71c694d2, (q31_t)0x71bb0edf,
+ (q31_t)0x71af848a, (q31_t)0x71a3f5d2,
+ (q31_t)0x719862b9, (q31_t)0x718ccb3f, (q31_t)0x71812f65, (q31_t)0x71758f29, (q31_t)0x7169ea8f, (q31_t)0x715e4194,
+ (q31_t)0x7152943b, (q31_t)0x7146e284,
+ (q31_t)0x713b2c6e, (q31_t)0x712f71fb, (q31_t)0x7123b32b, (q31_t)0x7117effe, (q31_t)0x710c2875, (q31_t)0x71005c90,
+ (q31_t)0x70f48c50, (q31_t)0x70e8b7b5,
+ (q31_t)0x70dcdec0, (q31_t)0x70d10171, (q31_t)0x70c51fc8, (q31_t)0x70b939c7, (q31_t)0x70ad4f6d, (q31_t)0x70a160ba,
+ (q31_t)0x70956db1, (q31_t)0x70897650,
+ (q31_t)0x707d7a98, (q31_t)0x70717a8a, (q31_t)0x70657626, (q31_t)0x70596d6d, (q31_t)0x704d6060, (q31_t)0x70414efd,
+ (q31_t)0x70353947, (q31_t)0x70291f3e,
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+ (q31_t)0x6fd3f001, (q31_t)0x6fc7b36d,
+ (q31_t)0x6fbb728a, (q31_t)0x6faf2d57, (q31_t)0x6fa2e3d7, (q31_t)0x6f969608, (q31_t)0x6f8a43ed, (q31_t)0x6f7ded84,
+ (q31_t)0x6f7192cf, (q31_t)0x6f6533ce,
+ (q31_t)0x6f58d082, (q31_t)0x6f4c68eb, (q31_t)0x6f3ffd09, (q31_t)0x6f338cde, (q31_t)0x6f271868, (q31_t)0x6f1a9faa,
+ (q31_t)0x6f0e22a3, (q31_t)0x6f01a155,
+ (q31_t)0x6ef51bbe, (q31_t)0x6ee891e1, (q31_t)0x6edc03bc, (q31_t)0x6ecf7152, (q31_t)0x6ec2daa2, (q31_t)0x6eb63fad,
+ (q31_t)0x6ea9a073, (q31_t)0x6e9cfcf5,
+ (q31_t)0x6e905534, (q31_t)0x6e83a92f, (q31_t)0x6e76f8e7, (q31_t)0x6e6a445d, (q31_t)0x6e5d8b91, (q31_t)0x6e50ce84,
+ (q31_t)0x6e440d37, (q31_t)0x6e3747a9,
+ (q31_t)0x6e2a7ddb, (q31_t)0x6e1dafce, (q31_t)0x6e10dd82, (q31_t)0x6e0406f8, (q31_t)0x6df72c30, (q31_t)0x6dea4d2b,
+ (q31_t)0x6ddd69e9, (q31_t)0x6dd0826a,
+ (q31_t)0x6dc396b0, (q31_t)0x6db6a6ba, (q31_t)0x6da9b28a, (q31_t)0x6d9cba1f, (q31_t)0x6d8fbd7a, (q31_t)0x6d82bc9d,
+ (q31_t)0x6d75b786, (q31_t)0x6d68ae37,
+ (q31_t)0x6d5ba0b0, (q31_t)0x6d4e8ef2, (q31_t)0x6d4178fd, (q31_t)0x6d345ed1, (q31_t)0x6d274070, (q31_t)0x6d1a1dda,
+ (q31_t)0x6d0cf70f, (q31_t)0x6cffcc0f,
+ (q31_t)0x6cf29cdc, (q31_t)0x6ce56975, (q31_t)0x6cd831dc, (q31_t)0x6ccaf610, (q31_t)0x6cbdb613, (q31_t)0x6cb071e4,
+ (q31_t)0x6ca32985, (q31_t)0x6c95dcf6,
+ (q31_t)0x6c888c36, (q31_t)0x6c7b3748, (q31_t)0x6c6dde2b, (q31_t)0x6c6080e0, (q31_t)0x6c531f67, (q31_t)0x6c45b9c1,
+ (q31_t)0x6c384fef, (q31_t)0x6c2ae1f0,
+ (q31_t)0x6c1d6fc6, (q31_t)0x6c0ff971, (q31_t)0x6c027ef1, (q31_t)0x6bf50047, (q31_t)0x6be77d74, (q31_t)0x6bd9f677,
+ (q31_t)0x6bcc6b53, (q31_t)0x6bbedc06,
+ (q31_t)0x6bb14892, (q31_t)0x6ba3b0f7, (q31_t)0x6b961536, (q31_t)0x6b88754f, (q31_t)0x6b7ad142, (q31_t)0x6b6d2911,
+ (q31_t)0x6b5f7cbc, (q31_t)0x6b51cc42,
+ (q31_t)0x6b4417a6, (q31_t)0x6b365ee7, (q31_t)0x6b28a206, (q31_t)0x6b1ae103, (q31_t)0x6b0d1bdf, (q31_t)0x6aff529a,
+ (q31_t)0x6af18536, (q31_t)0x6ae3b3b2,
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+ (q31_t)0x6a8285d1, (q31_t)0x6a749365,
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+ (q31_t)0x6a127f9f, (q31_t)0x6a046c6c,
+ (q31_t)0x69f65523, (q31_t)0x69e839c4, (q31_t)0x69da1a50, (q31_t)0x69cbf6c7, (q31_t)0x69bdcf29, (q31_t)0x69afa378,
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+ (q31_t)0x67d320c1, (q31_t)0x67c46bbe,
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+ (q31_t)0x628a0e50, (q31_t)0x627a01fe,
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+ (q31_t)0x5ecf0baf, (q31_t)0x5ebe273b, (q31_t)0x5ead3f1f, (q31_t)0x5e9c535e, (q31_t)0x5e8b63f7, (q31_t)0x5e7a70ea,
+ (q31_t)0x5e697a39, (q31_t)0x5e587fe5,
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+ (q31_t)0x5a799669, (q31_t)0x5a67cd69, (q31_t)0x5a5600ec, (q31_t)0x5a4430f5, (q31_t)0x5a325d82, (q31_t)0x5a208695,
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+ (q31_t)0x597f5c36, (q31_t)0x596d62a9,
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+ (q31_t)0x58ef2f6b, (q31_t)0x58dd1a5d,
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+ (q31_t)0x585e2730, (q31_t)0x584bf6cd,
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+ (q31_t)0x57398a05, (q31_t)0x5727237f,
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+ (q31_t)0x56a5f7e7, (q31_t)0x56937694,
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+ (q31_t)0x56118ffe, (q31_t)0x55fef40a,
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+ (q31_t)0x557c53b6, (q31_t)0x55699d51,
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+ (q31_t)0x544f63d2, (q31_t)0x543c7914,
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+ (q31_t)0x51ebcf7a, (q31_t)0x51d87e3c,
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+ (q31_t)0x5150ed5c, (q31_t)0x513d82f4,
+ (q31_t)0x512a156b, (q31_t)0x5116a4c1, (q31_t)0x510330f7, (q31_t)0x50efba0d, (q31_t)0x50dc4005, (q31_t)0x50c8c2de,
+ (q31_t)0x50b5429a, (q31_t)0x50a1bf39,
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+ (q31_t)0x5018d0b4, (q31_t)0x5005348a,
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+ (q31_t)0x4f7b992d, (q31_t)0x4f67e46a,
+ (q31_t)0x4f542c98, (q31_t)0x4f4071b6, (q31_t)0x4f2cb3c7, (q31_t)0x4f18f2c9, (q31_t)0x4f052ec0, (q31_t)0x4ef167aa,
+ (q31_t)0x4edd9d89, (q31_t)0x4ec9d05e,
+ (q31_t)0x4eb60029, (q31_t)0x4ea22ceb, (q31_t)0x4e8e56a5, (q31_t)0x4e7a7d58, (q31_t)0x4e66a105, (q31_t)0x4e52c1ab,
+ (q31_t)0x4e3edf4d, (q31_t)0x4e2af9ea,
+ (q31_t)0x4e171184, (q31_t)0x4e03261b, (q31_t)0x4def37b0, (q31_t)0x4ddb4644, (q31_t)0x4dc751d8, (q31_t)0x4db35a6c,
+ (q31_t)0x4d9f6001, (q31_t)0x4d8b6298,
+ (q31_t)0x4d776231, (q31_t)0x4d635ece, (q31_t)0x4d4f5870, (q31_t)0x4d3b4f16, (q31_t)0x4d2742c2, (q31_t)0x4d133374,
+ (q31_t)0x4cff212e, (q31_t)0x4ceb0bf0,
+ (q31_t)0x4cd6f3bb, (q31_t)0x4cc2d88f, (q31_t)0x4caeba6e, (q31_t)0x4c9a9958, (q31_t)0x4c86754e, (q31_t)0x4c724e50,
+ (q31_t)0x4c5e2460, (q31_t)0x4c49f77f,
+ (q31_t)0x4c35c7ac, (q31_t)0x4c2194e9, (q31_t)0x4c0d5f37, (q31_t)0x4bf92697, (q31_t)0x4be4eb08, (q31_t)0x4bd0ac8d,
+ (q31_t)0x4bbc6b25, (q31_t)0x4ba826d1,
+ (q31_t)0x4b93df93, (q31_t)0x4b7f956b, (q31_t)0x4b6b485a, (q31_t)0x4b56f861, (q31_t)0x4b42a580, (q31_t)0x4b2e4fb8,
+ (q31_t)0x4b19f70a, (q31_t)0x4b059b77,
+ (q31_t)0x4af13d00, (q31_t)0x4adcdba5, (q31_t)0x4ac87767, (q31_t)0x4ab41046, (q31_t)0x4a9fa645, (q31_t)0x4a8b3963,
+ (q31_t)0x4a76c9a2, (q31_t)0x4a625701,
+ (q31_t)0x4a4de182, (q31_t)0x4a396926, (q31_t)0x4a24edee, (q31_t)0x4a106fda, (q31_t)0x49fbeeea, (q31_t)0x49e76b21,
+ (q31_t)0x49d2e47e, (q31_t)0x49be5b02,
+ (q31_t)0x49a9ceaf, (q31_t)0x49953f84, (q31_t)0x4980ad84, (q31_t)0x496c18ae, (q31_t)0x49578103, (q31_t)0x4942e684,
+ (q31_t)0x492e4933, (q31_t)0x4919a90f,
+ (q31_t)0x4905061a, (q31_t)0x48f06054, (q31_t)0x48dbb7be, (q31_t)0x48c70c59, (q31_t)0x48b25e25, (q31_t)0x489dad25,
+ (q31_t)0x4888f957, (q31_t)0x487442be,
+ (q31_t)0x485f8959, (q31_t)0x484acd2a, (q31_t)0x48360e32, (q31_t)0x48214c71, (q31_t)0x480c87e8, (q31_t)0x47f7c099,
+ (q31_t)0x47e2f682, (q31_t)0x47ce29a7,
+ (q31_t)0x47b95a06, (q31_t)0x47a487a2, (q31_t)0x478fb27b, (q31_t)0x477ada91, (q31_t)0x4765ffe6, (q31_t)0x4751227a,
+ (q31_t)0x473c424e, (q31_t)0x47275f63,
+ (q31_t)0x471279ba, (q31_t)0x46fd9154, (q31_t)0x46e8a631, (q31_t)0x46d3b852, (q31_t)0x46bec7b8, (q31_t)0x46a9d464,
+ (q31_t)0x4694de56, (q31_t)0x467fe590,
+ (q31_t)0x466aea12, (q31_t)0x4655ebdd, (q31_t)0x4640eaf2, (q31_t)0x462be751, (q31_t)0x4616e0fc, (q31_t)0x4601d7f3,
+ (q31_t)0x45eccc37, (q31_t)0x45d7bdc9,
+ (q31_t)0x45c2acaa, (q31_t)0x45ad98da, (q31_t)0x4598825a, (q31_t)0x4583692c, (q31_t)0x456e4d4f, (q31_t)0x45592ec6,
+ (q31_t)0x45440d90, (q31_t)0x452ee9ae,
+ (q31_t)0x4519c321, (q31_t)0x450499eb, (q31_t)0x44ef6e0b, (q31_t)0x44da3f83, (q31_t)0x44c50e53, (q31_t)0x44afda7d,
+ (q31_t)0x449aa400, (q31_t)0x44856adf,
+ (q31_t)0x44702f19, (q31_t)0x445af0b0, (q31_t)0x4445afa4, (q31_t)0x44306bf6, (q31_t)0x441b25a8, (q31_t)0x4405dcb9,
+ (q31_t)0x43f0912b, (q31_t)0x43db42fe,
+ (q31_t)0x43c5f234, (q31_t)0x43b09ecc, (q31_t)0x439b48c9, (q31_t)0x4385f02a, (q31_t)0x437094f1, (q31_t)0x435b371f,
+ (q31_t)0x4345d6b3, (q31_t)0x433073b0,
+ (q31_t)0x431b0e15, (q31_t)0x4305a5e5, (q31_t)0x42f03b1e, (q31_t)0x42dacdc3, (q31_t)0x42c55dd4, (q31_t)0x42afeb53,
+ (q31_t)0x429a763f, (q31_t)0x4284fe99,
+ (q31_t)0x426f8463, (q31_t)0x425a079e, (q31_t)0x42448849, (q31_t)0x422f0667, (q31_t)0x421981f7, (q31_t)0x4203fafb,
+ (q31_t)0x41ee7174, (q31_t)0x41d8e561,
+ (q31_t)0x41c356c5, (q31_t)0x41adc5a0, (q31_t)0x419831f3, (q31_t)0x41829bbe, (q31_t)0x416d0302, (q31_t)0x415767c1,
+ (q31_t)0x4141c9fb, (q31_t)0x412c29b1,
+ (q31_t)0x411686e4, (q31_t)0x4100e194, (q31_t)0x40eb39c3, (q31_t)0x40d58f71, (q31_t)0x40bfe29f, (q31_t)0x40aa334e,
+ (q31_t)0x4094817f, (q31_t)0x407ecd32,
+ (q31_t)0x40691669, (q31_t)0x40535d24, (q31_t)0x403da165, (q31_t)0x4027e32b, (q31_t)0x40122278, (q31_t)0x3ffc5f4d,
+ (q31_t)0x3fe699aa, (q31_t)0x3fd0d191,
+ (q31_t)0x3fbb0702, (q31_t)0x3fa539fd, (q31_t)0x3f8f6a85, (q31_t)0x3f799899, (q31_t)0x3f63c43b, (q31_t)0x3f4ded6b,
+ (q31_t)0x3f38142a, (q31_t)0x3f22387a,
+ (q31_t)0x3f0c5a5a, (q31_t)0x3ef679cc, (q31_t)0x3ee096d1, (q31_t)0x3ecab169, (q31_t)0x3eb4c995, (q31_t)0x3e9edf57,
+ (q31_t)0x3e88f2ae, (q31_t)0x3e73039d,
+ (q31_t)0x3e5d1222, (q31_t)0x3e471e41, (q31_t)0x3e3127f9, (q31_t)0x3e1b2f4a, (q31_t)0x3e053437, (q31_t)0x3def36c0,
+ (q31_t)0x3dd936e6, (q31_t)0x3dc334a9,
+ (q31_t)0x3dad300b, (q31_t)0x3d97290b, (q31_t)0x3d811fac, (q31_t)0x3d6b13ee, (q31_t)0x3d5505d2, (q31_t)0x3d3ef559,
+ (q31_t)0x3d28e282, (q31_t)0x3d12cd51,
+ (q31_t)0x3cfcb5c4, (q31_t)0x3ce69bde, (q31_t)0x3cd07f9f, (q31_t)0x3cba6107, (q31_t)0x3ca44018, (q31_t)0x3c8e1cd3,
+ (q31_t)0x3c77f737, (q31_t)0x3c61cf48,
+ (q31_t)0x3c4ba504, (q31_t)0x3c35786d, (q31_t)0x3c1f4983, (q31_t)0x3c091849, (q31_t)0x3bf2e4be, (q31_t)0x3bdcaee3,
+ (q31_t)0x3bc676b9, (q31_t)0x3bb03c42,
+ (q31_t)0x3b99ff7d, (q31_t)0x3b83c06c, (q31_t)0x3b6d7f10, (q31_t)0x3b573b69, (q31_t)0x3b40f579, (q31_t)0x3b2aad3f,
+ (q31_t)0x3b1462be, (q31_t)0x3afe15f6,
+ (q31_t)0x3ae7c6e7, (q31_t)0x3ad17593, (q31_t)0x3abb21fb, (q31_t)0x3aa4cc1e, (q31_t)0x3a8e7400, (q31_t)0x3a78199f,
+ (q31_t)0x3a61bcfd, (q31_t)0x3a4b5e1b,
+ (q31_t)0x3a34fcf9, (q31_t)0x3a1e9999, (q31_t)0x3a0833fc, (q31_t)0x39f1cc21, (q31_t)0x39db620b, (q31_t)0x39c4f5ba,
+ (q31_t)0x39ae872f, (q31_t)0x3998166a,
+ (q31_t)0x3981a36d, (q31_t)0x396b2e38, (q31_t)0x3954b6cd, (q31_t)0x393e3d2c, (q31_t)0x3927c155, (q31_t)0x3911434b,
+ (q31_t)0x38fac30e, (q31_t)0x38e4409e,
+ (q31_t)0x38cdbbfc, (q31_t)0x38b7352a, (q31_t)0x38a0ac29, (q31_t)0x388a20f8, (q31_t)0x38739399, (q31_t)0x385d040d,
+ (q31_t)0x38467255, (q31_t)0x382fde72,
+ (q31_t)0x38194864, (q31_t)0x3802b02c, (q31_t)0x37ec15cb, (q31_t)0x37d57943, (q31_t)0x37beda93, (q31_t)0x37a839be,
+ (q31_t)0x379196c3, (q31_t)0x377af1a3,
+ (q31_t)0x37644a60, (q31_t)0x374da0fa, (q31_t)0x3736f573, (q31_t)0x372047ca, (q31_t)0x37099802, (q31_t)0x36f2e61a,
+ (q31_t)0x36dc3214, (q31_t)0x36c57bf0,
+ (q31_t)0x36aec3b0, (q31_t)0x36980954, (q31_t)0x36814cde, (q31_t)0x366a8e4d, (q31_t)0x3653cda3, (q31_t)0x363d0ae2,
+ (q31_t)0x36264609, (q31_t)0x360f7f19,
+ (q31_t)0x35f8b614, (q31_t)0x35e1eafa, (q31_t)0x35cb1dcc, (q31_t)0x35b44e8c, (q31_t)0x359d7d39, (q31_t)0x3586a9d5,
+ (q31_t)0x356fd461, (q31_t)0x3558fcde,
+ (q31_t)0x3542234c, (q31_t)0x352b47ad, (q31_t)0x35146a00, (q31_t)0x34fd8a48, (q31_t)0x34e6a885, (q31_t)0x34cfc4b7,
+ (q31_t)0x34b8dee1, (q31_t)0x34a1f702,
+ (q31_t)0x348b0d1c, (q31_t)0x3474212f, (q31_t)0x345d333c, (q31_t)0x34464345, (q31_t)0x342f5149, (q31_t)0x34185d4b,
+ (q31_t)0x3401674a, (q31_t)0x33ea6f48,
+ (q31_t)0x33d37546, (q31_t)0x33bc7944, (q31_t)0x33a57b44, (q31_t)0x338e7b46, (q31_t)0x3377794b, (q31_t)0x33607554,
+ (q31_t)0x33496f62, (q31_t)0x33326776,
+ (q31_t)0x331b5d91, (q31_t)0x330451b3, (q31_t)0x32ed43de, (q31_t)0x32d63412, (q31_t)0x32bf2250, (q31_t)0x32a80e99,
+ (q31_t)0x3290f8ef, (q31_t)0x3279e151,
+ (q31_t)0x3262c7c1, (q31_t)0x324bac40, (q31_t)0x32348ecf, (q31_t)0x321d6f6e, (q31_t)0x32064e1e, (q31_t)0x31ef2ae1,
+ (q31_t)0x31d805b7, (q31_t)0x31c0dea1,
+ (q31_t)0x31a9b5a0, (q31_t)0x31928ab4, (q31_t)0x317b5de0, (q31_t)0x31642f23, (q31_t)0x314cfe7f, (q31_t)0x3135cbf4,
+ (q31_t)0x311e9783, (q31_t)0x3107612e,
+ (q31_t)0x30f028f4, (q31_t)0x30d8eed8, (q31_t)0x30c1b2da, (q31_t)0x30aa74fa, (q31_t)0x3093353a, (q31_t)0x307bf39b,
+ (q31_t)0x3064b01d, (q31_t)0x304d6ac1,
+ (q31_t)0x30362389, (q31_t)0x301eda75, (q31_t)0x30078f86, (q31_t)0x2ff042bd, (q31_t)0x2fd8f41b, (q31_t)0x2fc1a3a0,
+ (q31_t)0x2faa514f, (q31_t)0x2f92fd26,
+ (q31_t)0x2f7ba729, (q31_t)0x2f644f56, (q31_t)0x2f4cf5b0, (q31_t)0x2f359a37, (q31_t)0x2f1e3ced, (q31_t)0x2f06ddd1,
+ (q31_t)0x2eef7ce5, (q31_t)0x2ed81a29,
+ (q31_t)0x2ec0b5a0, (q31_t)0x2ea94f49, (q31_t)0x2e91e725, (q31_t)0x2e7a7d36, (q31_t)0x2e63117c, (q31_t)0x2e4ba3f8,
+ (q31_t)0x2e3434ac, (q31_t)0x2e1cc397,
+ (q31_t)0x2e0550bb, (q31_t)0x2deddc19, (q31_t)0x2dd665b2, (q31_t)0x2dbeed86, (q31_t)0x2da77397, (q31_t)0x2d8ff7e5,
+ (q31_t)0x2d787a72, (q31_t)0x2d60fb3e,
+ (q31_t)0x2d497a4a, (q31_t)0x2d31f797, (q31_t)0x2d1a7325, (q31_t)0x2d02ecf7, (q31_t)0x2ceb650d, (q31_t)0x2cd3db67,
+ (q31_t)0x2cbc5006, (q31_t)0x2ca4c2ed,
+ (q31_t)0x2c8d341a, (q31_t)0x2c75a390, (q31_t)0x2c5e114f, (q31_t)0x2c467d58, (q31_t)0x2c2ee7ad, (q31_t)0x2c17504d,
+ (q31_t)0x2bffb73a, (q31_t)0x2be81c74,
+ (q31_t)0x2bd07ffe, (q31_t)0x2bb8e1d7, (q31_t)0x2ba14200, (q31_t)0x2b89a07b, (q31_t)0x2b71fd48, (q31_t)0x2b5a5868,
+ (q31_t)0x2b42b1dd, (q31_t)0x2b2b09a6,
+ (q31_t)0x2b135fc6, (q31_t)0x2afbb43c, (q31_t)0x2ae4070a, (q31_t)0x2acc5831, (q31_t)0x2ab4a7b1, (q31_t)0x2a9cf58c,
+ (q31_t)0x2a8541c3, (q31_t)0x2a6d8c55,
+ (q31_t)0x2a55d545, (q31_t)0x2a3e1c93, (q31_t)0x2a266240, (q31_t)0x2a0ea64d, (q31_t)0x29f6e8bb, (q31_t)0x29df298b,
+ (q31_t)0x29c768be, (q31_t)0x29afa654,
+ (q31_t)0x2997e24f, (q31_t)0x29801caf, (q31_t)0x29685576, (q31_t)0x29508ca4, (q31_t)0x2938c23a, (q31_t)0x2920f63a,
+ (q31_t)0x290928a3, (q31_t)0x28f15978,
+ (q31_t)0x28d988b8, (q31_t)0x28c1b666, (q31_t)0x28a9e281, (q31_t)0x28920d0a, (q31_t)0x287a3604, (q31_t)0x28625d6d,
+ (q31_t)0x284a8349, (q31_t)0x2832a796,
+ (q31_t)0x281aca57, (q31_t)0x2802eb8c, (q31_t)0x27eb0b36, (q31_t)0x27d32956, (q31_t)0x27bb45ed, (q31_t)0x27a360fc,
+ (q31_t)0x278b7a84, (q31_t)0x27739285,
+ (q31_t)0x275ba901, (q31_t)0x2743bdf9, (q31_t)0x272bd16d, (q31_t)0x2713e35f, (q31_t)0x26fbf3ce, (q31_t)0x26e402bd,
+ (q31_t)0x26cc102d, (q31_t)0x26b41c1d,
+ (q31_t)0x269c268f, (q31_t)0x26842f84, (q31_t)0x266c36fe, (q31_t)0x26543cfb, (q31_t)0x263c417f, (q31_t)0x26244489,
+ (q31_t)0x260c461b, (q31_t)0x25f44635,
+ (q31_t)0x25dc44d9, (q31_t)0x25c44207, (q31_t)0x25ac3dc0, (q31_t)0x25943806, (q31_t)0x257c30d8, (q31_t)0x25642839,
+ (q31_t)0x254c1e28, (q31_t)0x253412a8,
+ (q31_t)0x251c05b8, (q31_t)0x2503f75a, (q31_t)0x24ebe78f, (q31_t)0x24d3d657, (q31_t)0x24bbc3b4, (q31_t)0x24a3afa6,
+ (q31_t)0x248b9a2f, (q31_t)0x2473834f,
+ (q31_t)0x245b6b07, (q31_t)0x24435158, (q31_t)0x242b3644, (q31_t)0x241319ca, (q31_t)0x23fafbec, (q31_t)0x23e2dcac,
+ (q31_t)0x23cabc09, (q31_t)0x23b29a05,
+ (q31_t)0x239a76a0, (q31_t)0x238251dd, (q31_t)0x236a2bba, (q31_t)0x2352043b, (q31_t)0x2339db5e, (q31_t)0x2321b126,
+ (q31_t)0x23098593, (q31_t)0x22f158a7,
+ (q31_t)0x22d92a61, (q31_t)0x22c0fac4, (q31_t)0x22a8c9cf, (q31_t)0x22909785, (q31_t)0x227863e5, (q31_t)0x22602ef1,
+ (q31_t)0x2247f8aa, (q31_t)0x222fc111,
+ (q31_t)0x22178826, (q31_t)0x21ff4dea, (q31_t)0x21e71260, (q31_t)0x21ced586, (q31_t)0x21b6975f, (q31_t)0x219e57eb,
+ (q31_t)0x2186172b, (q31_t)0x216dd521,
+ (q31_t)0x215591cc, (q31_t)0x213d4d2f, (q31_t)0x21250749, (q31_t)0x210cc01d, (q31_t)0x20f477aa, (q31_t)0x20dc2df2,
+ (q31_t)0x20c3e2f5, (q31_t)0x20ab96b5,
+ (q31_t)0x20934933, (q31_t)0x207afa6f, (q31_t)0x2062aa6b, (q31_t)0x204a5927, (q31_t)0x203206a4, (q31_t)0x2019b2e4,
+ (q31_t)0x20015de7, (q31_t)0x1fe907ae,
+ (q31_t)0x1fd0b03a, (q31_t)0x1fb8578b, (q31_t)0x1f9ffda4, (q31_t)0x1f87a285, (q31_t)0x1f6f462f, (q31_t)0x1f56e8a2,
+ (q31_t)0x1f3e89e0, (q31_t)0x1f2629ea,
+ (q31_t)0x1f0dc8c0, (q31_t)0x1ef56664, (q31_t)0x1edd02d6, (q31_t)0x1ec49e17, (q31_t)0x1eac3829, (q31_t)0x1e93d10c,
+ (q31_t)0x1e7b68c2, (q31_t)0x1e62ff4a,
+ (q31_t)0x1e4a94a7, (q31_t)0x1e3228d9, (q31_t)0x1e19bbe0, (q31_t)0x1e014dbf, (q31_t)0x1de8de75, (q31_t)0x1dd06e04,
+ (q31_t)0x1db7fc6d, (q31_t)0x1d9f89b1,
+ (q31_t)0x1d8715d0, (q31_t)0x1d6ea0cc, (q31_t)0x1d562aa6, (q31_t)0x1d3db35e, (q31_t)0x1d253af5, (q31_t)0x1d0cc16c,
+ (q31_t)0x1cf446c5, (q31_t)0x1cdbcb00,
+ (q31_t)0x1cc34e1f, (q31_t)0x1caad021, (q31_t)0x1c925109, (q31_t)0x1c79d0d6, (q31_t)0x1c614f8b, (q31_t)0x1c48cd27,
+ (q31_t)0x1c3049ac, (q31_t)0x1c17c51b,
+ (q31_t)0x1bff3f75, (q31_t)0x1be6b8ba, (q31_t)0x1bce30ec, (q31_t)0x1bb5a80c, (q31_t)0x1b9d1e1a, (q31_t)0x1b849317,
+ (q31_t)0x1b6c0705, (q31_t)0x1b5379e5,
+ (q31_t)0x1b3aebb6, (q31_t)0x1b225c7b, (q31_t)0x1b09cc34, (q31_t)0x1af13ae3, (q31_t)0x1ad8a887, (q31_t)0x1ac01522,
+ (q31_t)0x1aa780b6, (q31_t)0x1a8eeb42,
+ (q31_t)0x1a7654c8, (q31_t)0x1a5dbd49, (q31_t)0x1a4524c6, (q31_t)0x1a2c8b3f, (q31_t)0x1a13f0b6, (q31_t)0x19fb552c,
+ (q31_t)0x19e2b8a2, (q31_t)0x19ca1b17,
+ (q31_t)0x19b17c8f, (q31_t)0x1998dd09, (q31_t)0x19803c86, (q31_t)0x19679b07, (q31_t)0x194ef88e, (q31_t)0x1936551b,
+ (q31_t)0x191db0af, (q31_t)0x19050b4b,
+ (q31_t)0x18ec64f0, (q31_t)0x18d3bda0, (q31_t)0x18bb155a, (q31_t)0x18a26c20, (q31_t)0x1889c1f3, (q31_t)0x187116d4,
+ (q31_t)0x18586ac3, (q31_t)0x183fbdc3,
+ (q31_t)0x18270fd3, (q31_t)0x180e60f4, (q31_t)0x17f5b129, (q31_t)0x17dd0070, (q31_t)0x17c44ecd, (q31_t)0x17ab9c3e,
+ (q31_t)0x1792e8c6, (q31_t)0x177a3466,
+ (q31_t)0x17617f1d, (q31_t)0x1748c8ee, (q31_t)0x173011d9, (q31_t)0x171759df, (q31_t)0x16fea102, (q31_t)0x16e5e741,
+ (q31_t)0x16cd2c9f, (q31_t)0x16b4711b,
+ (q31_t)0x169bb4b7, (q31_t)0x1682f774, (q31_t)0x166a3953, (q31_t)0x16517a55, (q31_t)0x1638ba7a, (q31_t)0x161ff9c4,
+ (q31_t)0x16073834, (q31_t)0x15ee75cb,
+ (q31_t)0x15d5b288, (q31_t)0x15bcee6f, (q31_t)0x15a4297f, (q31_t)0x158b63b9, (q31_t)0x15729d1f, (q31_t)0x1559d5b1,
+ (q31_t)0x15410d70, (q31_t)0x1528445d,
+ (q31_t)0x150f7a7a, (q31_t)0x14f6afc7, (q31_t)0x14dde445, (q31_t)0x14c517f4, (q31_t)0x14ac4ad7, (q31_t)0x14937cee,
+ (q31_t)0x147aae3a, (q31_t)0x1461debc,
+ (q31_t)0x14490e74, (q31_t)0x14303d65, (q31_t)0x14176b8e, (q31_t)0x13fe98f1, (q31_t)0x13e5c58e, (q31_t)0x13ccf167,
+ (q31_t)0x13b41c7d, (q31_t)0x139b46d0,
+ (q31_t)0x13827062, (q31_t)0x13699933, (q31_t)0x1350c144, (q31_t)0x1337e897, (q31_t)0x131f0f2c, (q31_t)0x13063505,
+ (q31_t)0x12ed5a21, (q31_t)0x12d47e83,
+ (q31_t)0x12bba22b, (q31_t)0x12a2c51b, (q31_t)0x1289e752, (q31_t)0x127108d2, (q31_t)0x1258299c, (q31_t)0x123f49b2,
+ (q31_t)0x12266913, (q31_t)0x120d87c1,
+ (q31_t)0x11f4a5bd, (q31_t)0x11dbc307, (q31_t)0x11c2dfa2, (q31_t)0x11a9fb8d, (q31_t)0x119116c9, (q31_t)0x11783159,
+ (q31_t)0x115f4b3c, (q31_t)0x11466473,
+ (q31_t)0x112d7d00, (q31_t)0x111494e4, (q31_t)0x10fbac1e, (q31_t)0x10e2c2b2, (q31_t)0x10c9d89e, (q31_t)0x10b0ede5,
+ (q31_t)0x10980287, (q31_t)0x107f1686,
+ (q31_t)0x106629e1, (q31_t)0x104d3c9b, (q31_t)0x10344eb4, (q31_t)0x101b602d, (q31_t)0x10027107, (q31_t)0xfe98143,
+ (q31_t)0xfd090e1, (q31_t)0xfb79fe4,
+ (q31_t)0xf9eae4c, (q31_t)0xf85bc19, (q31_t)0xf6cc94e, (q31_t)0xf53d5ea, (q31_t)0xf3ae1ee, (q31_t)0xf21ed5d, (q31_t)0xf08f836,
+ (q31_t)0xef0027b,
+ (q31_t)0xed70c2c, (q31_t)0xebe154b, (q31_t)0xea51dd8, (q31_t)0xe8c25d5, (q31_t)0xe732d42, (q31_t)0xe5a3421, (q31_t)0xe413a72,
+ (q31_t)0xe284036,
+ (q31_t)0xe0f456f, (q31_t)0xdf64a1c, (q31_t)0xddd4e40, (q31_t)0xdc451dc, (q31_t)0xdab54ef, (q31_t)0xd92577b, (q31_t)0xd795982,
+ (q31_t)0xd605b03,
+ (q31_t)0xd475c00, (q31_t)0xd2e5c7b, (q31_t)0xd155c73, (q31_t)0xcfc5bea, (q31_t)0xce35ae1, (q31_t)0xcca5959, (q31_t)0xcb15752,
+ (q31_t)0xc9854cf,
+ (q31_t)0xc7f51cf, (q31_t)0xc664e53, (q31_t)0xc4d4a5d, (q31_t)0xc3445ee, (q31_t)0xc1b4107, (q31_t)0xc023ba7, (q31_t)0xbe935d2,
+ (q31_t)0xbd02f87,
+ (q31_t)0xbb728c7, (q31_t)0xb9e2193, (q31_t)0xb8519ed, (q31_t)0xb6c11d5, (q31_t)0xb53094d, (q31_t)0xb3a0055, (q31_t)0xb20f6ee,
+ (q31_t)0xb07ed19,
+ (q31_t)0xaeee2d7, (q31_t)0xad5d829, (q31_t)0xabccd11, (q31_t)0xaa3c18e, (q31_t)0xa8ab5a2, (q31_t)0xa71a94f, (q31_t)0xa589c94,
+ (q31_t)0xa3f8f73,
+ (q31_t)0xa2681ed, (q31_t)0xa0d7403, (q31_t)0x9f465b5, (q31_t)0x9db5706, (q31_t)0x9c247f5, (q31_t)0x9a93884, (q31_t)0x99028b3,
+ (q31_t)0x9771884,
+ (q31_t)0x95e07f8, (q31_t)0x944f70f, (q31_t)0x92be5ca, (q31_t)0x912d42c, (q31_t)0x8f9c233, (q31_t)0x8e0afe2, (q31_t)0x8c79d3a,
+ (q31_t)0x8ae8a3a,
+ (q31_t)0x89576e5, (q31_t)0x87c633c, (q31_t)0x8634f3e, (q31_t)0x84a3aee, (q31_t)0x831264c, (q31_t)0x8181159, (q31_t)0x7fefc16,
+ (q31_t)0x7e5e685,
+ (q31_t)0x7ccd0a5, (q31_t)0x7b3ba78, (q31_t)0x79aa400, (q31_t)0x7818d3c, (q31_t)0x768762e, (q31_t)0x74f5ed7, (q31_t)0x7364738,
+ (q31_t)0x71d2f52,
+ (q31_t)0x7041726, (q31_t)0x6eafeb4, (q31_t)0x6d1e5fe, (q31_t)0x6b8cd05, (q31_t)0x69fb3c9, (q31_t)0x6869a4c, (q31_t)0x66d808f,
+ (q31_t)0x6546692,
+ (q31_t)0x63b4c57, (q31_t)0x62231de, (q31_t)0x6091729, (q31_t)0x5effc38, (q31_t)0x5d6e10c, (q31_t)0x5bdc5a7, (q31_t)0x5a4aa09,
+ (q31_t)0x58b8e34,
+ (q31_t)0x5727228, (q31_t)0x55955e6, (q31_t)0x540396f, (q31_t)0x5271cc4, (q31_t)0x50dffe7, (q31_t)0x4f4e2d8, (q31_t)0x4dbc597,
+ (q31_t)0x4c2a827,
+ (q31_t)0x4a98a88, (q31_t)0x4906cbb, (q31_t)0x4774ec1, (q31_t)0x45e309a, (q31_t)0x4451249, (q31_t)0x42bf3cd, (q31_t)0x412d528,
+ (q31_t)0x3f9b65b,
+ (q31_t)0x3e09767, (q31_t)0x3c7784d, (q31_t)0x3ae590d, (q31_t)0x39539a9, (q31_t)0x37c1a22, (q31_t)0x362fa78, (q31_t)0x349daac,
+ (q31_t)0x330bac1,
+ (q31_t)0x3179ab5, (q31_t)0x2fe7a8c, (q31_t)0x2e55a44, (q31_t)0x2cc39e1, (q31_t)0x2b31961, (q31_t)0x299f8c7, (q31_t)0x280d813,
+ (q31_t)0x267b747,
+ (q31_t)0x24e9662, (q31_t)0x2357567, (q31_t)0x21c5457, (q31_t)0x2033331, (q31_t)0x1ea11f7, (q31_t)0x1d0f0ab, (q31_t)0x1b7cf4d,
+ (q31_t)0x19eaddd,
+ (q31_t)0x1858c5e, (q31_t)0x16c6ad0, (q31_t)0x1534934, (q31_t)0x13a278a, (q31_t)0x12105d5, (q31_t)0x107e414, (q31_t)0xeec249,
+ (q31_t)0xd5a075,
+ (q31_t)0xbc7e99, (q31_t)0xa35cb5, (q31_t)0x8a3acb, (q31_t)0x7118dc, (q31_t)0x57f6e9, (q31_t)0x3ed4f2, (q31_t)0x25b2f8,
+ (q31_t)0xc90fe
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
+ const q31_t WeightsQ31_8192[16384] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffffd9, (q31_t)0xfff9b781, (q31_t)0x7fffff62, (q31_t)0xfff36f02, (q31_t)0x7ffffe9d, (q31_t)0xffed2684,
+ (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffffc25, (q31_t)0xffe09586, (q31_t)0x7ffffa73, (q31_t)0xffda4d08, (q31_t)0x7ffff872, (q31_t)0xffd40489,
+ (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7ffff382, (q31_t)0xffc7738c, (q31_t)0x7ffff094, (q31_t)0xffc12b0e, (q31_t)0x7fffed57, (q31_t)0xffbae290,
+ (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, (q31_t)0x7fffe5f0, (q31_t)0xffae5195, (q31_t)0x7fffe1c6, (q31_t)0xffa80917, (q31_t)0x7fffdd4d, (q31_t)0xffa1c09a,
+ (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffd36f, (q31_t)0xff952fa0, (q31_t)0x7fffce09, (q31_t)0xff8ee724, (q31_t)0x7fffc854, (q31_t)0xff889ea7,
+ (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffbbfe, (q31_t)0xff7c0db0, (q31_t)0x7fffb55c, (q31_t)0xff75c535, (q31_t)0x7fffae6c, (q31_t)0xff6f7cba,
+ (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff9f9e, (q31_t)0xff62ebc5, (q31_t)0x7fff97c1, (q31_t)0xff5ca34b, (q31_t)0x7fff8f94, (q31_t)0xff565ad1,
+ (q31_t)0x7fff8719, (q31_t)0xff501258, (q31_t)0x7fff7e4f, (q31_t)0xff49c9df, (q31_t)0x7fff7536, (q31_t)0xff438167, (q31_t)0x7fff6bcd, (q31_t)0xff3d38ef,
+ (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff5810, (q31_t)0xff30a801, (q31_t)0x7fff4dbb, (q31_t)0xff2a5f8b, (q31_t)0x7fff4317, (q31_t)0xff241715,
+ (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff2ce2, (q31_t)0xff17862b, (q31_t)0x7fff2151, (q31_t)0xff113db7, (q31_t)0x7fff1572, (q31_t)0xff0af543,
+ (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffefcc5, (q31_t)0xfefe645e, (q31_t)0x7ffeeff8, (q31_t)0xfef81bec, (q31_t)0x7ffee2dd, (q31_t)0xfef1d37b,
+ (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, (q31_t)0x7ffec7b9, (q31_t)0xfee5429a, (q31_t)0x7ffeb9b0, (q31_t)0xfedefa2b, (q31_t)0x7ffeab59, (q31_t)0xfed8b1bd,
+ (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe8dbd, (q31_t)0xfecc20e2, (q31_t)0x7ffe7e79, (q31_t)0xfec5d876, (q31_t)0x7ffe6ee5, (q31_t)0xfebf900a,
+ (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe4ed2, (q31_t)0xfeb2ff36, (q31_t)0x7ffe3e52, (q31_t)0xfeacb6cc, (q31_t)0x7ffe2d83, (q31_t)0xfea66e64,
+ (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffe0af8, (q31_t)0xfe99dd96, (q31_t)0x7ffdf93c, (q31_t)0xfe939530, (q31_t)0x7ffde731, (q31_t)0xfe8d4ccb,
+ (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, (q31_t)0x7ffdc22e, (q31_t)0xfe80bc04, (q31_t)0x7ffdaf37, (q31_t)0xfe7a73a2, (q31_t)0x7ffd9bf0, (q31_t)0xfe742b41,
+ (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd7476, (q31_t)0xfe679a81, (q31_t)0x7ffd6042, (q31_t)0xfe615223, (q31_t)0x7ffd4bc0, (q31_t)0xfe5b09c5,
+ (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffd21ce, (q31_t)0xfe4e790d, (q31_t)0x7ffd0c5f, (q31_t)0xfe4830b3, (q31_t)0x7ffcf6a0, (q31_t)0xfe41e85a,
+ (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffcca37, (q31_t)0xfe3557ab, (q31_t)0x7ffcb38c, (q31_t)0xfe2f0f55, (q31_t)0x7ffc9c92, (q31_t)0xfe28c700,
+ (q31_t)0x7ffc8549, (q31_t)0xfe227eac, (q31_t)0x7ffc6db1, (q31_t)0xfe1c365a, (q31_t)0x7ffc55ca, (q31_t)0xfe15ee09, (q31_t)0x7ffc3d94, (q31_t)0xfe0fa5b8,
+ (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffc0c3b, (q31_t)0xfe03151c, (q31_t)0x7ffbf319, (q31_t)0xfdfccccf, (q31_t)0x7ffbd9a7, (q31_t)0xfdf68484,
+ (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffba5d7, (q31_t)0xfde9f3f1, (q31_t)0x7ffb8b78, (q31_t)0xfde3aba9, (q31_t)0x7ffb70cb, (q31_t)0xfddd6363,
+ (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffb3a83, (q31_t)0xfdd0d2db, (q31_t)0x7ffb1ee9, (q31_t)0xfdca8a99, (q31_t)0x7ffb0300, (q31_t)0xfdc44258,
+ (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, (q31_t)0x7ffaca40, (q31_t)0xfdb7b1da, (q31_t)0x7ffaad6a, (q31_t)0xfdb1699e, (q31_t)0x7ffa9045, (q31_t)0xfdab2162,
+ (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ffa550e, (q31_t)0xfd9e90f0, (q31_t)0x7ffa36fc, (q31_t)0xfd9848b9, (q31_t)0x7ffa189c, (q31_t)0xfd920084,
+ (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff9daed, (q31_t)0xfd85701e, (q31_t)0x7ff9bba0, (q31_t)0xfd7f27ed, (q31_t)0x7ff99c03, (q31_t)0xfd78dfbd,
+ (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff95bdd, (q31_t)0xfd6c4f64, (q31_t)0x7ff93b54, (q31_t)0xfd660739, (q31_t)0x7ff91a7b, (q31_t)0xfd5fbf10,
+ (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, (q31_t)0x7ff8d7de, (q31_t)0xfd532ec3, (q31_t)0x7ff8b619, (q31_t)0xfd4ce69f, (q31_t)0x7ff89405, (q31_t)0xfd469e7c,
+ (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff84ef0, (q31_t)0xfd3a0e3d, (q31_t)0x7ff82bef, (q31_t)0xfd33c61f, (q31_t)0x7ff8089f, (q31_t)0xfd2d7e04,
+ (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff7c113, (q31_t)0xfd20edd2, (q31_t)0x7ff79cd6, (q31_t)0xfd1aa5bc, (q31_t)0x7ff7784a, (q31_t)0xfd145da7,
+ (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff72e46, (q31_t)0xfd07cd83, (q31_t)0x7ff708ce, (q31_t)0xfd018574, (q31_t)0x7ff6e307, (q31_t)0xfcfb3d67,
+ (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, (q31_t)0x7ff6968b, (q31_t)0xfceead52, (q31_t)0x7ff66fd7, (q31_t)0xfce8654b, (q31_t)0x7ff648d4, (q31_t)0xfce21d45,
+ (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff5f9e1, (q31_t)0xfcd58d3f, (q31_t)0x7ff5d1f1, (q31_t)0xfccf453f, (q31_t)0x7ff5a9b2, (q31_t)0xfcc8fd41,
+ (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff55848, (q31_t)0xfcbc6d4c, (q31_t)0x7ff52f1d, (q31_t)0xfcb62554, (q31_t)0x7ff505a2, (q31_t)0xfcafdd5e,
+ (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4b1c0, (q31_t)0xfca34d78, (q31_t)0x7ff48759, (q31_t)0xfc9d0588, (q31_t)0x7ff45ca3, (q31_t)0xfc96bd9b,
+ (q31_t)0x7ff4319d, (q31_t)0xfc9075af, (q31_t)0x7ff40649, (q31_t)0xfc8a2dc6, (q31_t)0x7ff3daa6, (q31_t)0xfc83e5de, (q31_t)0x7ff3aeb4, (q31_t)0xfc7d9df9,
+ (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff355e4, (q31_t)0xfc710e36, (q31_t)0x7ff32905, (q31_t)0xfc6ac657, (q31_t)0x7ff2fbd7, (q31_t)0xfc647e7b,
+ (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff2a08f, (q31_t)0xfc57eec9, (q31_t)0x7ff27275, (q31_t)0xfc51a6f3, (q31_t)0x7ff2440b, (q31_t)0xfc4b5f20,
+ (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1e64c, (q31_t)0xfc3ecf80, (q31_t)0x7ff1b6f6, (q31_t)0xfc3887b3, (q31_t)0x7ff18751, (q31_t)0xfc323fe9,
+ (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, (q31_t)0x7ff1271a, (q31_t)0xfc25b05c, (q31_t)0x7ff0f688, (q31_t)0xfc1f6899, (q31_t)0x7ff0c5a7, (q31_t)0xfc1920d8,
+ (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7ff062f9, (q31_t)0xfc0c915e, (q31_t)0x7ff0312c, (q31_t)0xfc0649a5, (q31_t)0x7fefff0f, (q31_t)0xfc0001ee,
+ (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7fef99ea, (q31_t)0xfbf37287, (q31_t)0x7fef66e1, (q31_t)0xfbed2ad8, (q31_t)0x7fef3388, (q31_t)0xfbe6e32b,
+ (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7feecbec, (q31_t)0xfbda53d8, (q31_t)0x7fee97a7, (q31_t)0xfbd40c33, (q31_t)0x7fee6313, (q31_t)0xfbcdc490,
+ (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0, (q31_t)0x7fedf8ff, (q31_t)0xfbc13552, (q31_t)0x7fedc37e, (q31_t)0xfbbaedb7, (q31_t)0x7fed8daf, (q31_t)0xfbb4a61f,
+ (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fed2123, (q31_t)0xfba816f6, (q31_t)0x7fecea67, (q31_t)0xfba1cf66, (q31_t)0x7fecb35c, (q31_t)0xfb9b87d8,
+ (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7fec4459, (q31_t)0xfb8ef8c5, (q31_t)0x7fec0c62, (q31_t)0xfb88b13f, (q31_t)0x7febd41b, (q31_t)0xfb8269bd,
+ (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feb62a1, (q31_t)0xfb75dac0, (q31_t)0x7feb296d, (q31_t)0xfb6f9345, (q31_t)0x7feaefeb, (q31_t)0xfb694bce,
+ (q31_t)0x7feab61a, (q31_t)0xfb630459, (q31_t)0x7fea7bfa, (q31_t)0xfb5cbce7, (q31_t)0x7fea418b, (q31_t)0xfb567578, (q31_t)0x7fea06cd, (q31_t)0xfb502e0c,
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+ (q31_t)0x7b3475e5, (q31_t)0xdd4b1d8c, (q31_t)0x7b32c19c, (q31_t)0xdd451159, (q31_t)0x7b310d07, (q31_t)0xdd3f053c, (q31_t)0x7b2f5826, (q31_t)0xdd38f935,
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+ (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b2514a6, (q31_t)0xdd14b2ca, (q31_t)0x7b235db2, (q31_t)0xdd0ea759, (q31_t)0x7b21a671, (q31_t)0xdd089bfe,
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+ (q31_t)0x7af660c2, (q31_t)0xdc719b96, (q31_t)0x7af4a1cc, (q31_t)0xdc6b9270, (q31_t)0x7af2e28b, (q31_t)0xdc658960, (q31_t)0x7af122fd, (q31_t)0xdc5f8066,
+ (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7aeda2fe, (q31_t)0xdc536eb3, (q31_t)0x7aebe28d, (q31_t)0xdc4d65fb, (q31_t)0x7aea21d0, (q31_t)0xdc475d59,
+ (q31_t)0x7ae860c7, (q31_t)0xdc4154cd, (q31_t)0x7ae69f73, (q31_t)0xdc3b4c57, (q31_t)0x7ae4ddd2, (q31_t)0xdc3543f7, (q31_t)0x7ae31be6, (q31_t)0xdc2f3bad,
+ (q31_t)0x7ae159ae, (q31_t)0xdc293379, (q31_t)0x7adf972a, (q31_t)0xdc232b5c, (q31_t)0x7addd45b, (q31_t)0xdc1d2354, (q31_t)0x7adc113f, (q31_t)0xdc171b63,
+ (q31_t)0x7ada4dd8, (q31_t)0xdc111388, (q31_t)0x7ad88a25, (q31_t)0xdc0b0bc2, (q31_t)0x7ad6c626, (q31_t)0xdc050414, (q31_t)0x7ad501dc, (q31_t)0xdbfefc7b,
+ (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ad17863, (q31_t)0xdbf2ed8c, (q31_t)0x7acfb336, (q31_t)0xdbece636, (q31_t)0x7acdedbc, (q31_t)0xdbe6def6,
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+ (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7ab50206, (q31_t)0xdb9282a2, (q31_t)0x7ab3381d, (q31_t)0xdb8c7cb1, (q31_t)0x7ab16de7, (q31_t)0xdb8676d8,
+ (q31_t)0x7aafa367, (q31_t)0xdb807114, (q31_t)0x7aadd89a, (q31_t)0xdb7a6b68, (q31_t)0x7aac0d82, (q31_t)0xdb7465d1, (q31_t)0x7aaa421e, (q31_t)0xdb6e6052,
+ (q31_t)0x7aa8766f, (q31_t)0xdb685ae9, (q31_t)0x7aa6aa74, (q31_t)0xdb625596, (q31_t)0x7aa4de2d, (q31_t)0xdb5c505a, (q31_t)0x7aa3119a, (q31_t)0xdb564b35,
+ (q31_t)0x7aa144bc, (q31_t)0xdb504626, (q31_t)0x7a9f7793, (q31_t)0xdb4a412e, (q31_t)0x7a9daa1d, (q31_t)0xdb443c4c, (q31_t)0x7a9bdc5c, (q31_t)0xdb3e3781,
+ (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, (q31_t)0x7a983ff7, (q31_t)0xdb322e30, (q31_t)0x7a967153, (q31_t)0xdb2c29a9, (q31_t)0x7a94a264, (q31_t)0xdb262539,
+ (q31_t)0x7a92d329, (q31_t)0xdb2020e0, (q31_t)0x7a9103a2, (q31_t)0xdb1a1c9d, (q31_t)0x7a8f33d0, (q31_t)0xdb141871, (q31_t)0x7a8d63b2, (q31_t)0xdb0e145c,
+ (q31_t)0x7a8b9348, (q31_t)0xdb08105e, (q31_t)0x7a89c293, (q31_t)0xdb020c77, (q31_t)0x7a87f192, (q31_t)0xdafc08a6, (q31_t)0x7a862046, (q31_t)0xdaf604ec,
+ (q31_t)0x7a844eae, (q31_t)0xdaf00149, (q31_t)0x7a827ccb, (q31_t)0xdae9fdbd, (q31_t)0x7a80aa9c, (q31_t)0xdae3fa48, (q31_t)0x7a7ed821, (q31_t)0xdaddf6ea,
+ (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a7b3249, (q31_t)0xdad1f072, (q31_t)0x7a795eec, (q31_t)0xdacbed58, (q31_t)0x7a778b43, (q31_t)0xdac5ea56,
+ (q31_t)0x7a75b74f, (q31_t)0xdabfe76a, (q31_t)0x7a73e30f, (q31_t)0xdab9e495, (q31_t)0x7a720e84, (q31_t)0xdab3e1d8, (q31_t)0x7a7039ad, (q31_t)0xdaaddf31,
+ (q31_t)0x7a6e648a, (q31_t)0xdaa7dca1, (q31_t)0x7a6c8f1c, (q31_t)0xdaa1da29, (q31_t)0x7a6ab963, (q31_t)0xda9bd7c7, (q31_t)0x7a68e35e, (q31_t)0xda95d57d,
+ (q31_t)0x7a670d0d, (q31_t)0xda8fd349, (q31_t)0x7a653671, (q31_t)0xda89d12d, (q31_t)0x7a635f8a, (q31_t)0xda83cf28, (q31_t)0x7a618857, (q31_t)0xda7dcd3a,
+ (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a5dd90e, (q31_t)0xda71c9a3, (q31_t)0x7a5c00f9, (q31_t)0xda6bc7fa, (q31_t)0x7a5a2898, (q31_t)0xda65c669,
+ (q31_t)0x7a584feb, (q31_t)0xda5fc4ef, (q31_t)0x7a5676f3, (q31_t)0xda59c38c, (q31_t)0x7a549db0, (q31_t)0xda53c240, (q31_t)0x7a52c421, (q31_t)0xda4dc10b,
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+ (q31_t)0x7a497feb, (q31_t)0xda2fbc61, (q31_t)0x7a47a498, (q31_t)0xda29bbb9, (q31_t)0x7a45c8f9, (q31_t)0xda23bb27, (q31_t)0x7a43ed0e, (q31_t)0xda1dbaad,
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+ (q31_t)0x7a3a9d0f, (q31_t)0xd9ffb9a9, (q31_t)0x7a38bf60, (q31_t)0xd9f9b9bb, (q31_t)0x7a36e166, (q31_t)0xd9f3b9e5, (q31_t)0x7a350321, (q31_t)0xd9edba26,
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+ (q31_t)0x7a24256f, (q31_t)0xd9b7c094, (q31_t)0x7a224437, (q31_t)0xd9b1c1c0, (q31_t)0x7a2062b5, (q31_t)0xd9abc305, (q31_t)0x7a1e80e7, (q31_t)0xd9a5c461,
+ (q31_t)0x7a1c9ece, (q31_t)0xd99fc5d4, (q31_t)0x7a1abc69, (q31_t)0xd999c75f, (q31_t)0x7a18d9b9, (q31_t)0xd993c902, (q31_t)0x7a16f6be, (q31_t)0xd98dcabd,
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+ (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x7a0408c1, (q31_t)0xd951e123, (q31_t)0x7a02228a, (q31_t)0xd94be3e3, (q31_t)0x7a003c07, (q31_t)0xd945e6bb,
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+ (q31_t)0x79dfc064, (q31_t)0xd8e0256a, (q31_t)0x79ddd498, (q31_t)0xd8da29f2, (q31_t)0x79dbe880, (q31_t)0xd8d42e93, (q31_t)0x79d9fc1d, (q31_t)0xd8ce334c,
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+ (q31_t)0x79d059c8, (q31_t)0xd8b04c52, (q31_t)0x79ce6ba2, (q31_t)0xd8aa519c, (q31_t)0x79cc7d31, (q31_t)0xd8a456ff, (q31_t)0x79ca8e75, (q31_t)0xd89e5c79,
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+ (q31_t)0x79a1b545, (q31_t)0xd820e589, (q31_t)0x799fc015, (q31_t)0xd81aed1d, (q31_t)0x799dca9a, (q31_t)0xd814f4ca, (q31_t)0x799bd4d4, (q31_t)0xd80efc8f,
+ (q31_t)0x7999dec4, (q31_t)0xd809046e, (q31_t)0x7997e868, (q31_t)0xd8030c64, (q31_t)0x7995f1c1, (q31_t)0xd7fd1474, (q31_t)0x7993facf, (q31_t)0xd7f71c9c,
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+ (q31_t)0x79823f20, (q31_t)0xd7c16a5f, (q31_t)0x79804541, (q31_t)0xd7bb737f, (q31_t)0x797e4b16, (q31_t)0xd7b57cb7, (q31_t)0x797c50a1, (q31_t)0xd7af8609,
+ (q31_t)0x797a55e0, (q31_t)0xd7a98f73, (q31_t)0x79785ad5, (q31_t)0xd7a398f6, (q31_t)0x79765f7f, (q31_t)0xd79da293, (q31_t)0x797463de, (q31_t)0xd797ac48,
+ (q31_t)0x797267f2, (q31_t)0xd791b616, (q31_t)0x79706bbb, (q31_t)0xd78bbffc, (q31_t)0x796e6f39, (q31_t)0xd785c9fc, (q31_t)0x796c726c, (q31_t)0xd77fd415,
+ (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x796877f1, (q31_t)0xd773e892, (q31_t)0x79667a44, (q31_t)0xd76df2f6, (q31_t)0x79647c4c, (q31_t)0xd767fd72,
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+ (q31_t)0x79528167, (q31_t)0xd732603f, (q31_t)0x79508082, (q31_t)0xd72c6bb6, (q31_t)0x794e7f52, (q31_t)0xd7267748, (q31_t)0x794c7dd7, (q31_t)0xd72082f2,
+ (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x79487a01, (q31_t)0xd7149a92, (q31_t)0x794677a6, (q31_t)0xd70ea688, (q31_t)0x79447500, (q31_t)0xd708b297,
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+ (q31_t)0x79325006, (q31_t)0xd6d32393, (q31_t)0x79304a74, (q31_t)0xd6cd30a0, (q31_t)0x792e4497, (q31_t)0xd6c73dc6, (q31_t)0x792c3e70, (q31_t)0xd6c14b05,
+ (q31_t)0x792a37fe, (q31_t)0xd6bb585e, (q31_t)0x79283141, (q31_t)0xd6b565d0, (q31_t)0x79262a3a, (q31_t)0xd6af735c, (q31_t)0x792422e8, (q31_t)0xd6a98101,
+ (q31_t)0x79221b4b, (q31_t)0xd6a38ec0, (q31_t)0x79201363, (q31_t)0xd69d9c98, (q31_t)0x791e0b31, (q31_t)0xd697aa8a, (q31_t)0x791c02b4, (q31_t)0xd691b895,
+ (q31_t)0x7919f9ec, (q31_t)0xd68bc6ba, (q31_t)0x7917f0d9, (q31_t)0xd685d4f9, (q31_t)0x7915e77c, (q31_t)0xd67fe351, (q31_t)0x7913ddd4, (q31_t)0xd679f1c2,
+ (q31_t)0x7911d3e2, (q31_t)0xd674004e, (q31_t)0x790fc9a4, (q31_t)0xd66e0ef2, (q31_t)0x790dbf1d, (q31_t)0xd6681db1, (q31_t)0x790bb44a, (q31_t)0xd6622c89,
+ (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x79079dc5, (q31_t)0xd6564a87, (q31_t)0x79059212, (q31_t)0xd65059ac, (q31_t)0x79038615, (q31_t)0xd64a68eb,
+ (q31_t)0x790179cd, (q31_t)0xd6447844, (q31_t)0x78ff6d3b, (q31_t)0xd63e87b6, (q31_t)0x78fd605d, (q31_t)0xd6389742, (q31_t)0x78fb5336, (q31_t)0xd632a6e8,
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+ (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78e6bfa0, (q31_t)0xd5f748f0, (q31_t)0x78e4af44, (q31_t)0xd5f159b3, (q31_t)0x78e29e9d, (q31_t)0xd5eb6a8f,
+ (q31_t)0x78e08dab, (q31_t)0xd5e57b85, (q31_t)0x78de7c6f, (q31_t)0xd5df8c96, (q31_t)0x78dc6ae8, (q31_t)0xd5d99dc0, (q31_t)0x78da5917, (q31_t)0xd5d3af04,
+ (q31_t)0x78d846fb, (q31_t)0xd5cdc062, (q31_t)0x78d63495, (q31_t)0xd5c7d1db, (q31_t)0x78d421e4, (q31_t)0xd5c1e36d, (q31_t)0x78d20ee9, (q31_t)0xd5bbf519,
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+ (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78c596e7, (q31_t)0xd5986148, (q31_t)0x78c381e2, (q31_t)0xd59273ab, (q31_t)0x78c16c93, (q31_t)0xd58c8628,
+ (q31_t)0x78bf56f9, (q31_t)0xd58698c0, (q31_t)0x78bd4114, (q31_t)0xd580ab72, (q31_t)0x78bb2ae5, (q31_t)0xd57abe3d, (q31_t)0x78b9146c, (q31_t)0xd574d124,
+ (q31_t)0x78b6fda8, (q31_t)0xd56ee424, (q31_t)0x78b4e69a, (q31_t)0xd568f73f, (q31_t)0x78b2cf41, (q31_t)0xd5630a74, (q31_t)0x78b0b79e, (q31_t)0xd55d1dc3,
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+ (q31_t)0x78a63d11, (q31_t)0xd53f7fda, (q31_t)0x78a423af, (q31_t)0xd53993c7, (q31_t)0x78a20a03, (q31_t)0xd533a7cf, (q31_t)0x789ff00c, (q31_t)0xd52dbbf1,
+ (q31_t)0x789dd5cb, (q31_t)0xd527d02e, (q31_t)0x789bbb3f, (q31_t)0xd521e484, (q31_t)0x7899a06a, (q31_t)0xd51bf8f6, (q31_t)0x78978549, (q31_t)0xd5160d82,
+ (q31_t)0x789569df, (q31_t)0xd5102228, (q31_t)0x78934e2a, (q31_t)0xd50a36e9, (q31_t)0x7891322a, (q31_t)0xd5044bc4, (q31_t)0x788f15e0, (q31_t)0xd4fe60ba,
+ (q31_t)0x788cf94c, (q31_t)0xd4f875ca, (q31_t)0x788adc6e, (q31_t)0xd4f28af5, (q31_t)0x7888bf45, (q31_t)0xd4eca03a, (q31_t)0x7886a1d1, (q31_t)0xd4e6b59a,
+ (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x7882660c, (q31_t)0xd4dae0aa, (q31_t)0x788047ba, (q31_t)0xd4d4f65a, (q31_t)0x787e291d, (q31_t)0xd4cf0c24,
+ (q31_t)0x787c0a36, (q31_t)0xd4c92209, (q31_t)0x7879eb05, (q31_t)0xd4c33809, (q31_t)0x7877cb89, (q31_t)0xd4bd4e23, (q31_t)0x7875abc3, (q31_t)0xd4b76458,
+ (q31_t)0x78738bb3, (q31_t)0xd4b17aa8, (q31_t)0x78716b59, (q31_t)0xd4ab9112, (q31_t)0x786f4ab4, (q31_t)0xd4a5a798, (q31_t)0x786d29c5, (q31_t)0xd49fbe37,
+ (q31_t)0x786b088c, (q31_t)0xd499d4f2, (q31_t)0x7868e708, (q31_t)0xd493ebc8, (q31_t)0x7866c53a, (q31_t)0xd48e02b8, (q31_t)0x7864a322, (q31_t)0xd48819c3,
+ (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78605e13, (q31_t)0xd47c4829, (q31_t)0x785e3b1c, (q31_t)0xd4765f85, (q31_t)0x785c17db, (q31_t)0xd47076fb,
+ (q31_t)0x7859f44f, (q31_t)0xd46a8e8d, (q31_t)0x7857d079, (q31_t)0xd464a639, (q31_t)0x7855ac5a, (q31_t)0xd45ebe00, (q31_t)0x785387ef, (q31_t)0xd458d5e2,
+ (q31_t)0x7851633b, (q31_t)0xd452eddf, (q31_t)0x784f3e3c, (q31_t)0xd44d05f6, (q31_t)0x784d18f4, (q31_t)0xd4471e29, (q31_t)0x784af361, (q31_t)0xd4413677,
+ (q31_t)0x7848cd83, (q31_t)0xd43b4ee0, (q31_t)0x7846a75c, (q31_t)0xd4356763, (q31_t)0x784480ea, (q31_t)0xd42f8002, (q31_t)0x78425a2f, (q31_t)0xd42998bc,
+ (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x783e0bd9, (q31_t)0xd41dca81, (q31_t)0x783be43e, (q31_t)0xd417e38c, (q31_t)0x7839bc5a, (q31_t)0xd411fcb2,
+ (q31_t)0x7837942b, (q31_t)0xd40c15f3, (q31_t)0x78356bb2, (q31_t)0xd4062f4f, (q31_t)0x783342ef, (q31_t)0xd40048c6, (q31_t)0x783119e2, (q31_t)0xd3fa6259,
+ (q31_t)0x782ef08b, (q31_t)0xd3f47c06, (q31_t)0x782cc6ea, (q31_t)0xd3ee95cf, (q31_t)0x782a9cfe, (q31_t)0xd3e8afb3, (q31_t)0x782872c8, (q31_t)0xd3e2c9b2,
+ (q31_t)0x78264849, (q31_t)0xd3dce3cd, (q31_t)0x78241d7f, (q31_t)0xd3d6fe03, (q31_t)0x7821f26b, (q31_t)0xd3d11853, (q31_t)0x781fc70d, (q31_t)0xd3cb32c0,
+ (q31_t)0x781d9b65, (q31_t)0xd3c54d47, (q31_t)0x781b6f72, (q31_t)0xd3bf67ea, (q31_t)0x78194336, (q31_t)0xd3b982a8, (q31_t)0x781716b0, (q31_t)0xd3b39d81,
+ (q31_t)0x7814e9df, (q31_t)0xd3adb876, (q31_t)0x7812bcc4, (q31_t)0xd3a7d385, (q31_t)0x78108f60, (q31_t)0xd3a1eeb1, (q31_t)0x780e61b1, (q31_t)0xd39c09f7,
+ (q31_t)0x780c33b8, (q31_t)0xd396255a, (q31_t)0x780a0575, (q31_t)0xd39040d7, (q31_t)0x7807d6e9, (q31_t)0xd38a5c70, (q31_t)0x7805a812, (q31_t)0xd3847824,
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+ (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77d55878, (q31_t)0xd302f4da, (q31_t)0x77d322fc, (q31_t)0xd2fd1309, (q31_t)0x77d0ed35, (q31_t)0xd2f73154,
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+ (q31_t)0x7775581d, (q31_t)0xd206695d, (q31_t)0x7773163b, (q31_t)0xd2008c43, (q31_t)0x7770d40f, (q31_t)0xd1faaf45, (q31_t)0x776e919a, (q31_t)0xd1f4d263,
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+ (q31_t)0x775a2e89, (q31_t)0xd1c01375, (q31_t)0x7757e933, (q31_t)0xd1ba37b0, (q31_t)0x7755a394, (q31_t)0xd1b45c08, (q31_t)0x77535dab, (q31_t)0xd1ae807c,
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+ (q31_t)0x773edb8b, (q31_t)0xd179cd99, (q31_t)0x773c92c2, (q31_t)0xd173f32c, (q31_t)0x773a49b0, (q31_t)0xd16e18db, (q31_t)0x77380054, (q31_t)0xd1683ea7,
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+ (q31_t)0x7710f54c, (q31_t)0xd104d26b, (q31_t)0x770ea6c5, (q31_t)0xd0fefa3f, (q31_t)0x770c57f5, (q31_t)0xd0f9222f, (q31_t)0x770a08dc, (q31_t)0xd0f34a3d,
+ (q31_t)0x7707b979, (q31_t)0xd0ed7267, (q31_t)0x770569cc, (q31_t)0xd0e79aaf, (q31_t)0x770319d6, (q31_t)0xd0e1c313, (q31_t)0x7700c997, (q31_t)0xd0dbeb95,
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+ (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76f2e216, (q31_t)0xd0b8e102, (q31_t)0x76f08fd5, (q31_t)0xd0b30a50, (q31_t)0x76ee3d4b, (q31_t)0xd0ad33ba,
+ (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e9975a, (q31_t)0xd0a186e7, (q31_t)0x76e743f4, (q31_t)0xd09bb0aa, (q31_t)0x76e4f044, (q31_t)0xd095da89,
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+ (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76d6f421, (q31_t)0xd072d82d, (q31_t)0x76d49e70, (q31_t)0xd06d02da, (q31_t)0x76d24876, (q31_t)0xd0672da3,
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+ (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76c43e95, (q31_t)0xd04430c8, (q31_t)0x76c1e699, (q31_t)0xd03e5c60, (q31_t)0x76bf8e55, (q31_t)0xd0388815,
+ (q31_t)0x76bd35c7, (q31_t)0xd032b3e7, (q31_t)0x76badcf0, (q31_t)0xd02cdfd8, (q31_t)0x76b883d0, (q31_t)0xd0270be5, (q31_t)0x76b62a66, (q31_t)0xd0213810,
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+ (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a80bec, (q31_t)0xcffe4380, (q31_t)0x76a5b082, (q31_t)0xcff8707a, (q31_t)0x76a354cf, (q31_t)0xcff29d92,
+ (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x769e9c8d, (q31_t)0xcfe6f81a, (q31_t)0x769c3ffe, (q31_t)0xcfe1258b, (q31_t)0x7699e326, (q31_t)0xcfdb531a,
+ (q31_t)0x76978605, (q31_t)0xcfd580c6, (q31_t)0x7695289b, (q31_t)0xcfcfae8f, (q31_t)0x7692cae8, (q31_t)0xcfc9dc77, (q31_t)0x76906ceb, (q31_t)0xcfc40a7c,
+ (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768bb017, (q31_t)0xcfb866e0, (q31_t)0x7689513f, (q31_t)0xcfb2953f, (q31_t)0x7686f21e, (q31_t)0xcfacc3bb,
+ (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x76823301, (q31_t)0xcfa1210d, (q31_t)0x767fd304, (q31_t)0xcf9b4fe3, (q31_t)0x767d72bf, (q31_t)0xcf957ed7,
+ (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x7678b159, (q31_t)0xcf89dd18, (q31_t)0x76765038, (q31_t)0xcf840c65, (q31_t)0x7673eecf, (q31_t)0xcf7e3bd1,
+ (q31_t)0x76718d1c, (q31_t)0xcf786b5a, (q31_t)0x766f2b20, (q31_t)0xcf729b01, (q31_t)0x766cc8db, (q31_t)0xcf6ccac6, (q31_t)0x766a664d, (q31_t)0xcf66faa9,
+ (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x7665a056, (q31_t)0xcf5b5ac9, (q31_t)0x76633ced, (q31_t)0xcf558b06, (q31_t)0x7660d93b, (q31_t)0xcf4fbb61,
+ (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x765c10fc, (q31_t)0xcf441c71, (q31_t)0x7659ac6f, (q31_t)0xcf3e4d26, (q31_t)0x76574798, (q31_t)0xcf387dfa,
+ (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x76527d11, (q31_t)0xcf2cdffa, (q31_t)0x76501760, (q31_t)0xcf271128, (q31_t)0x764db166, (q31_t)0xcf214274,
+ (q31_t)0x764b4b23, (q31_t)0xcf1b73de, (q31_t)0x7648e497, (q31_t)0xcf15a566, (q31_t)0x76467dc2, (q31_t)0xcf0fd70c, (q31_t)0x764416a4, (q31_t)0xcf0a08d0,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x763f478d, (q31_t)0xcefe6cb3, (q31_t)0x763cdf94, (q31_t)0xcef89ed2, (q31_t)0x763a7752, (q31_t)0xcef2d110,
+ (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x7635a5f4, (q31_t)0xcee735e5, (q31_t)0x76333cd8, (q31_t)0xcee1687d, (q31_t)0x7630d372, (q31_t)0xcedb9b33,
+ (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x762bffcd, (q31_t)0xced000fb, (q31_t)0x7629958c, (q31_t)0xceca340c, (q31_t)0x76272b03, (q31_t)0xcec4673c,
+ (q31_t)0x7624c031, (q31_t)0xcebe9a8a, (q31_t)0x76225517, (q31_t)0xceb8cdf7, (q31_t)0x761fe9b3, (q31_t)0xceb30181, (q31_t)0x761d7e06, (q31_t)0xcead352b,
+ (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x7618a5d3, (q31_t)0xcea19cd8, (q31_t)0x7616394c, (q31_t)0xce9bd0dd, (q31_t)0x7613cc7c, (q31_t)0xce960500,
+ (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x760ef201, (q31_t)0xce8a6da2, (q31_t)0x760c8457, (q31_t)0xce84a220, (q31_t)0x760a1664, (q31_t)0xce7ed6bd,
+ (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x760539a3, (q31_t)0xce734053, (q31_t)0x7602cad5, (q31_t)0xce6d754c, (q31_t)0x76005bbf, (q31_t)0xce67aa63,
+ (q31_t)0x75fdec60, (q31_t)0xce61df99, (q31_t)0x75fb7cb8, (q31_t)0xce5c14ed, (q31_t)0x75f90cc7, (q31_t)0xce564a60, (q31_t)0x75f69c8d, (q31_t)0xce507ff2,
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+ (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e7f53c, (q31_t)0xce2dc3e1, (q31_t)0x75e58305, (q31_t)0xce27fa49, (q31_t)0x75e31086, (q31_t)0xce2230d0,
+ (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75de2aac, (q31_t)0xce169e3b, (q31_t)0x75dbb753, (q31_t)0xce10d51f, (q31_t)0x75d943b0, (q31_t)0xce0b0c21,
+ (q31_t)0x75d6cfc5, (q31_t)0xce054343, (q31_t)0x75d45b92, (q31_t)0xcdff7a83, (q31_t)0x75d1e715, (q31_t)0xcdf9b1e2, (q31_t)0x75cf7250, (q31_t)0xcdf3e95f,
+ (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75ca87ec, (q31_t)0xcde858b8, (q31_t)0x75c8124d, (q31_t)0xcde29092, (q31_t)0x75c59c65, (q31_t)0xcddcc88b,
+ (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75c0afbb, (q31_t)0xcdd138db, (q31_t)0x75be38fa, (q31_t)0xcdcb7131, (q31_t)0x75bbc1ef, (q31_t)0xcdc5a9a6,
+ (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75b6d301, (q31_t)0xcdba1aee, (q31_t)0x75b45b1d, (q31_t)0xcdb453c0, (q31_t)0x75b1e2f0, (q31_t)0xcdae8cb1,
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+ (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x75992198, (q31_t)0xcd74ccca, (q31_t)0x7596a64d, (q31_t)0xcd6f0711, (q31_t)0x75942ab9, (q31_t)0xcd694178,
+ (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x758f32b9, (q31_t)0xcd5db6a3, (q31_t)0x758cb64c, (q31_t)0xcd57f167, (q31_t)0x758a3996, (q31_t)0xcd522c4a,
+ (q31_t)0x7587bc98, (q31_t)0xcd4c674d, (q31_t)0x75853f51, (q31_t)0xcd46a26f, (q31_t)0x7582c1c2, (q31_t)0xcd40ddb0, (q31_t)0x758043ea, (q31_t)0xcd3b1911,
+ (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x757b4762, (q31_t)0xcd2f9030, (q31_t)0x7578c8b0, (q31_t)0xcd29cbee, (q31_t)0x757649b7, (q31_t)0xcd2407cc,
+ (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x75714aea, (q31_t)0xcd187fe6, (q31_t)0x756ecb18, (q31_t)0xcd12bc22, (q31_t)0x756c4afc, (q31_t)0xcd0cf87e,
+ (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x756749ec, (q31_t)0xcd017193, (q31_t)0x7564c8f8, (q31_t)0xccfbae4d, (q31_t)0x756247bb, (q31_t)0xccf5eb26,
+ (q31_t)0x755fc635, (q31_t)0xccf0281f, (q31_t)0x755d4467, (q31_t)0xccea6538, (q31_t)0x755ac251, (q31_t)0xcce4a26f, (q31_t)0x75583ff3, (q31_t)0xccdedfc7,
+ (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x75533a5c, (q31_t)0xccd35ad4, (q31_t)0x7550b725, (q31_t)0xcccd988a, (q31_t)0x754e33a4, (q31_t)0xccc7d65f,
+ (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75492bcb, (q31_t)0xccbc5269, (q31_t)0x7546a772, (q31_t)0xccb6909e, (q31_t)0x754422d0, (q31_t)0xccb0cef2,
+ (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x753f18b4, (q31_t)0xcca54bf9, (q31_t)0x753c933a, (q31_t)0xcc9f8aac, (q31_t)0x753a0d77, (q31_t)0xcc99c97e,
+ (q31_t)0x7537876c, (q31_t)0xcc940871, (q31_t)0x75350118, (q31_t)0xcc8e4783, (q31_t)0x75327a7d, (q31_t)0xcc8886b5, (q31_t)0x752ff399, (q31_t)0xcc82c607,
+ (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x752ae4f8, (q31_t)0xcc774509, (q31_t)0x75285d3b, (q31_t)0xcc7184ba, (q31_t)0x7525d536, (q31_t)0xcc6bc48b,
+ (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x7520c453, (q31_t)0xcc60448c, (q31_t)0x751e3b75, (q31_t)0xcc5a84bc, (q31_t)0x751bb24f, (q31_t)0xcc54c50c,
+ (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x75169f2a, (q31_t)0xcc49460c, (q31_t)0x7514152b, (q31_t)0xcc4386bc, (q31_t)0x75118ae4, (q31_t)0xcc3dc78b,
+ (q31_t)0x750f0054, (q31_t)0xcc38087b, (q31_t)0x750c757d, (q31_t)0xcc32498a, (q31_t)0x7509ea5d, (q31_t)0xcc2c8aba, (q31_t)0x75075ef5, (q31_t)0xcc26cc09,
+ (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x7502474d, (q31_t)0xcc1b4f08, (q31_t)0x74ffbb0d, (q31_t)0xcc1590b8, (q31_t)0x74fd2e84, (q31_t)0xcc0fd287,
+ (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f8149a, (q31_t)0xcc045686, (q31_t)0x74f58739, (q31_t)0xcbfe98b6, (q31_t)0x74f2f990, (q31_t)0xcbf8db05,
+ (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74eddd65, (q31_t)0xcbed6005, (q31_t)0x74eb4ee3, (q31_t)0xcbe7a2b5, (q31_t)0x74e8c01a, (q31_t)0xcbe1e585,
+ (q31_t)0x74e63108, (q31_t)0xcbdc2876, (q31_t)0x74e3a1ae, (q31_t)0xcbd66b86, (q31_t)0x74e1120c, (q31_t)0xcbd0aeb7, (q31_t)0x74de8221, (q31_t)0xcbcaf208,
+ (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d96175, (q31_t)0xcbbf790a, (q31_t)0x74d6d0b2, (q31_t)0xcbb9bcbb, (q31_t)0x74d43fa8, (q31_t)0xcbb4008d,
+ (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74cf1cbb, (q31_t)0xcba88891, (q31_t)0x74cc8ad8, (q31_t)0xcba2ccc4, (q31_t)0x74c9f8ad, (q31_t)0xcb9d1117,
+ (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74c4d380, (q31_t)0xcb919a1d, (q31_t)0x74c2407d, (q31_t)0xcb8bded1, (q31_t)0x74bfad32, (q31_t)0xcb8623a5,
+ (q31_t)0x74bd199f, (q31_t)0xcb80689a, (q31_t)0x74ba85c4, (q31_t)0xcb7aadaf, (q31_t)0x74b7f1a1, (q31_t)0xcb74f2e4, (q31_t)0x74b55d36, (q31_t)0xcb6f383a,
+ (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74b03389, (q31_t)0xcb63c347, (q31_t)0x74ad9e46, (q31_t)0xcb5e08fe, (q31_t)0x74ab08bb, (q31_t)0xcb584ed6,
+ (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x74a5dccd, (q31_t)0xcb4cdae6, (q31_t)0x74a3466b, (q31_t)0xcb47211f, (q31_t)0x74a0afc0, (q31_t)0xcb416779,
+ (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x749b8193, (q31_t)0xcb35f48d, (q31_t)0x7498ea11, (q31_t)0xcb303b49, (q31_t)0x74965246, (q31_t)0xcb2a8224,
+ (q31_t)0x7493ba34, (q31_t)0xcb24c921, (q31_t)0x749121da, (q31_t)0xcb1f103e, (q31_t)0x748e8938, (q31_t)0xcb19577b, (q31_t)0x748bf04d, (q31_t)0xcb139ed9,
+ (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x7486bda2, (q31_t)0xcb082df8, (q31_t)0x748423e0, (q31_t)0xcb0275b8, (q31_t)0x748189d7, (q31_t)0xcafcbd99,
+ (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x747c54ec, (q31_t)0xcaf14dbd, (q31_t)0x7479ba0b, (q31_t)0xcaeb9600, (q31_t)0x74771ee2, (q31_t)0xcae5de64,
+ (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x7471e7b8, (q31_t)0xcada6f8d, (q31_t)0x746f4bb8, (q31_t)0xcad4b853, (q31_t)0x746caf70, (q31_t)0xcacf013a,
+ (q31_t)0x746a12df, (q31_t)0xcac94a42, (q31_t)0x74677608, (q31_t)0xcac3936b, (q31_t)0x7464d8e8, (q31_t)0xcabddcb4, (q31_t)0x74623b80, (q31_t)0xcab8261e,
+ (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x745cffda, (q31_t)0xcaacb955, (q31_t)0x745a619b, (q31_t)0xcaa70322, (q31_t)0x7457c314, (q31_t)0xcaa14d10,
+ (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x74528530, (q31_t)0xca95e14e, (q31_t)0x744fe5d2, (q31_t)0xca902b9f, (q31_t)0x744d462c, (q31_t)0xca8a7610,
+ (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x7448060a, (q31_t)0xca7f0b56, (q31_t)0x7445658d, (q31_t)0xca79562b, (q31_t)0x7442c4c8, (q31_t)0xca73a120,
+ (q31_t)0x744023bc, (q31_t)0xca6dec37, (q31_t)0x743d8268, (q31_t)0xca68376e, (q31_t)0x743ae0cc, (q31_t)0xca6282c7, (q31_t)0x74383ee9, (q31_t)0xca5cce40,
+ (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x7432fa4b, (q31_t)0xca516597, (q31_t)0x74305790, (q31_t)0xca4bb174, (q31_t)0x742db48e, (q31_t)0xca45fd72,
+ (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74286db3, (q31_t)0xca3a95d2, (q31_t)0x7425c9da, (q31_t)0xca34e234, (q31_t)0x742325b9, (q31_t)0xca2f2eb6,
+ (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x741ddca0, (q31_t)0xca23c820, (q31_t)0x741b37a9, (q31_t)0xca1e1506, (q31_t)0x74189269, (q31_t)0xca18620e,
+ (q31_t)0x7415ece2, (q31_t)0xca12af37, (q31_t)0x74134714, (q31_t)0xca0cfc81, (q31_t)0x7410a0fe, (q31_t)0xca0749ec, (q31_t)0x740dfaa0, (q31_t)0xca019779,
+ (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7408ad0e, (q31_t)0xc9f632f6, (q31_t)0x740605d9, (q31_t)0xc9f080e7, (q31_t)0x74035e5d, (q31_t)0xc9eacef9,
+ (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73fe0e8f, (q31_t)0xc9df6b81, (q31_t)0x73fb663c, (q31_t)0xc9d9b9f7, (q31_t)0x73f8bda2, (q31_t)0xc9d4088f,
+ (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73f36b97, (q31_t)0xc9c8a622, (q31_t)0x73f0c226, (q31_t)0xc9c2f51e, (q31_t)0x73ee186e, (q31_t)0xc9bd443c,
+ (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a, (q31_t)0x73e8c426, (q31_t)0xc9b1e2db, (q31_t)0x73e61997, (q31_t)0xc9ac325d, (q31_t)0x73e36ec1, (q31_t)0xc9a68200,
+ (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73de183e, (q31_t)0xc99b21ab, (q31_t)0x73db6c91, (q31_t)0xc99571b3, (q31_t)0x73d8c09d, (q31_t)0xc98fc1dc,
+ (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73d367de, (q31_t)0xc9846294, (q31_t)0x73d0bb13, (q31_t)0xc97eb322, (q31_t)0x73ce0e01, (q31_t)0xc97903d2,
+ (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c8b307, (q31_t)0xc96da597, (q31_t)0x73c6051f, (q31_t)0xc967f6ac, (q31_t)0x73c356ef, (q31_t)0xc96247e2,
+ (q31_t)0x73c0a878, (q31_t)0xc95c993a, (q31_t)0x73bdf9b9, (q31_t)0xc956eab4, (q31_t)0x73bb4ab3, (q31_t)0xc9513c50, (q31_t)0x73b89b66, (q31_t)0xc94b8e0d,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73b33bf5, (q31_t)0xc94031ed, (q31_t)0x73b08bd1, (q31_t)0xc93a8410, (q31_t)0x73addb67, (q31_t)0xc934d654,
+ (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a879bb, (q31_t)0xc9297b42, (q31_t)0x73a5c87a, (q31_t)0xc923cdec, (q31_t)0x73a316f2, (q31_t)0xc91e20b8,
+ (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x739db30b, (q31_t)0xc912c6b5, (q31_t)0x739b00ad, (q31_t)0xc90d19e6, (q31_t)0x73984e07, (q31_t)0xc9076d39,
+ (q31_t)0x73959b1b, (q31_t)0xc901c0ae, (q31_t)0x7392e7e6, (q31_t)0xc8fc1445, (q31_t)0x7390346b, (q31_t)0xc8f667fe, (q31_t)0x738d80a8, (q31_t)0xc8f0bbd9,
+ (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x7388184d, (q31_t)0xc8e563f5, (q31_t)0x738563b5, (q31_t)0xc8dfb836, (q31_t)0x7382aed5, (q31_t)0xc8da0c99,
+ (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x737d4440, (q31_t)0xc8ceb5c4, (q31_t)0x737a8e8a, (q31_t)0xc8c90a8d, (q31_t)0x7377d88d, (q31_t)0xc8c35f78,
+ (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x73726bbe, (q31_t)0xc8b809b4, (q31_t)0x736fb4ec, (q31_t)0xc8b25f06, (q31_t)0x736cfdd2, (q31_t)0xc8acb479,
+ (q31_t)0x736a4671, (q31_t)0xc8a70a0e, (q31_t)0x73678ec9, (q31_t)0xc8a15fc6, (q31_t)0x7364d6da, (q31_t)0xc89bb5a0, (q31_t)0x73621ea4, (q31_t)0xc8960b9c,
+ (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x735cad61, (q31_t)0xc88ab7fa, (q31_t)0x7359f456, (q31_t)0xc8850e5d, (q31_t)0x73573b03, (q31_t)0xc87f64e2,
+ (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x7351c787, (q31_t)0xc8741252, (q31_t)0x734f0d5f, (q31_t)0xc86e693d, (q31_t)0x734c52ef, (q31_t)0xc868c04b,
+ (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x7346dd3a, (q31_t)0xc85d6ece, (q31_t)0x734421f6, (q31_t)0xc857c642, (q31_t)0x7341666a, (q31_t)0xc8521dd9,
+ (q31_t)0x733eaa96, (q31_t)0xc84c7593, (q31_t)0x733bee7c, (q31_t)0xc846cd6e, (q31_t)0x7339321b, (q31_t)0xc841256d, (q31_t)0x73367572, (q31_t)0xc83b7d8d,
+ (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7330fb4d, (q31_t)0xc8302e35, (q31_t)0x732e3dcf, (q31_t)0xc82a86bd, (q31_t)0x732b800a, (q31_t)0xc824df67,
+ (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x732603ac, (q31_t)0xc8199123, (q31_t)0x73234512, (q31_t)0xc813ea35, (q31_t)0x73208632, (q31_t)0xc80e4369,
+ (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x731b079b, (q31_t)0xc802f638, (q31_t)0x731847e5, (q31_t)0xc7fd4fd4, (q31_t)0x731587e8, (q31_t)0xc7f7a992,
+ (q31_t)0x7312c7a5, (q31_t)0xc7f20373, (q31_t)0x7310071a, (q31_t)0xc7ec5d76, (q31_t)0x730d4648, (q31_t)0xc7e6b79c, (q31_t)0x730a8530, (q31_t)0xc7e111e5,
+ (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x73050229, (q31_t)0xc7d5c6de, (q31_t)0x7302403c, (q31_t)0xc7d0218e, (q31_t)0x72ff7e07, (q31_t)0xc7ca7c61,
+ (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f9f8c9, (q31_t)0xc7bf3270, (q31_t)0x72f735c0, (q31_t)0xc7b98dab, (q31_t)0x72f47270, (q31_t)0xc7b3e909,
+ (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72eeeafb, (q31_t)0xc7a8a02c, (q31_t)0x72ec26d6, (q31_t)0xc7a2fbf3, (q31_t)0x72e9626a, (q31_t)0xc79d57db,
+ (q31_t)0x72e69db7, (q31_t)0xc797b3e7, (q31_t)0x72e3d8be, (q31_t)0xc7921015, (q31_t)0x72e1137d, (q31_t)0xc78c6c67, (q31_t)0x72de4df6, (q31_t)0xc786c8db,
+ (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d8c213, (q31_t)0xc77b822b, (q31_t)0x72d5fbb7, (q31_t)0xc775df08, (q31_t)0x72d33514, (q31_t)0xc7703c08,
+ (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72cda6fb, (q31_t)0xc764f66f, (q31_t)0x72cadf83, (q31_t)0xc75f53d7, (q31_t)0x72c817c6, (q31_t)0xc759b163,
+ (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72c28775, (q31_t)0xc74e6ce2, (q31_t)0x72bfbee3, (q31_t)0xc748cad6, (q31_t)0x72bcf60a, (q31_t)0xc74328ed,
+ (q31_t)0x72ba2cea, (q31_t)0xc73d8727, (q31_t)0x72b76383, (q31_t)0xc737e584, (q31_t)0x72b499d6, (q31_t)0xc7324404, (q31_t)0x72b1cfe1, (q31_t)0xc72ca2a7,
+ (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72ac3b25, (q31_t)0xc7216056, (q31_t)0x72a9705c, (q31_t)0xc71bbf62, (q31_t)0x72a6a54d, (q31_t)0xc7161e92,
+ (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x72a10e5b, (q31_t)0xc70add5a, (q31_t)0x729e4277, (q31_t)0xc7053cf2, (q31_t)0x729b764d, (q31_t)0xc6ff9cae,
+ (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x7295dd25, (q31_t)0xc6f45c8f, (q31_t)0x72931027, (q31_t)0xc6eebcb5, (q31_t)0x729042e3, (q31_t)0xc6e91cfd,
+ (q31_t)0x728d7557, (q31_t)0xc6e37d69, (q31_t)0x728aa785, (q31_t)0xc6ddddf8, (q31_t)0x7287d96c, (q31_t)0xc6d83eab, (q31_t)0x72850b0d, (q31_t)0xc6d29f80,
+ (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x727f6d7a, (q31_t)0xc6c76195, (q31_t)0x727c9e47, (q31_t)0xc6c1c2d4, (q31_t)0x7279cecd, (q31_t)0xc6bc2437,
+ (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x72742f05, (q31_t)0xc6b0e767, (q31_t)0x72715eb8, (q31_t)0xc6ab4933, (q31_t)0x726e8e23, (q31_t)0xc6a5ab23,
+ (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7268ec27, (q31_t)0xc69a6f6e, (q31_t)0x72661abf, (q31_t)0xc694d1c8, (q31_t)0x72634910, (q31_t)0xc68f3446,
+ (q31_t)0x7260771b, (q31_t)0xc68996e7, (q31_t)0x725da4df, (q31_t)0xc683f9ab, (q31_t)0x725ad25d, (q31_t)0xc67e5c93, (q31_t)0x7257ff94, (q31_t)0xc678bf9f,
+ (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7252592f, (q31_t)0xc66d8620, (q31_t)0x724f8593, (q31_t)0xc667e996, (q31_t)0x724cb1b0, (q31_t)0xc6624d30,
+ (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x72470916, (q31_t)0xc65714cd, (q31_t)0x72443460, (q31_t)0xc65178d1, (q31_t)0x72415f63, (q31_t)0xc64bdcf9,
+ (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x723bb496, (q31_t)0xc640a5b3, (q31_t)0x7238dec5, (q31_t)0xc63b0a46, (q31_t)0x723608af, (q31_t)0xc6356efc,
+ (q31_t)0x72333251, (q31_t)0xc62fd3d6, (q31_t)0x72305bae, (q31_t)0xc62a38d4, (q31_t)0x722d84c4, (q31_t)0xc6249df5, (q31_t)0x722aad93, (q31_t)0xc61f033a,
+ (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x7224fe5f, (q31_t)0xc613ce2f, (q31_t)0x7222265b, (q31_t)0xc60e33df, (q31_t)0x721f4e11, (q31_t)0xc60899b2,
+ (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x72199ca9, (q31_t)0xc5fd65c5, (q31_t)0x7216c38c, (q31_t)0xc5f7cc04, (q31_t)0x7213ea28, (q31_t)0xc5f23267,
+ (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x720e368d, (q31_t)0xc5e6ff98, (q31_t)0x720b5c57, (q31_t)0xc5e16667, (q31_t)0x720881d9, (q31_t)0xc5dbcd59,
+ (q31_t)0x7205a716, (q31_t)0xc5d6346f, (q31_t)0x7202cc0c, (q31_t)0xc5d09ba9, (q31_t)0x71fff0bc, (q31_t)0xc5cb0307, (q31_t)0x71fd1525, (q31_t)0xc5c56a89,
+ (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71f75d25, (q31_t)0xc5ba39f8, (q31_t)0x71f480bc, (q31_t)0xc5b4a1e5, (q31_t)0x71f1a40c, (q31_t)0xc5af09f7,
+ (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71ebe9da, (q31_t)0xc5a3da86, (q31_t)0x71e90c57, (q31_t)0xc59e4303, (q31_t)0x71e62e8f, (q31_t)0xc598aba5,
+ (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71e0722a, (q31_t)0xc58d7d54, (q31_t)0x71dd938f, (q31_t)0xc587e661, (q31_t)0x71dab4ad, (q31_t)0xc5824f93,
+ (q31_t)0x71d7d585, (q31_t)0xc57cb8e9, (q31_t)0x71d4f617, (q31_t)0xc5772263, (q31_t)0x71d21662, (q31_t)0xc5718c00, (q31_t)0x71cf3667, (q31_t)0xc56bf5c2,
+ (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c9759f, (q31_t)0xc560c9b3, (q31_t)0x71c694d2, (q31_t)0xc55b33e2, (q31_t)0x71c3b3bf, (q31_t)0xc5559e34,
+ (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71bdf0c5, (q31_t)0xc54a7346, (q31_t)0x71bb0edf, (q31_t)0xc544de05, (q31_t)0x71b82cb3, (q31_t)0xc53f48e9,
+ (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71b26788, (q31_t)0xc5341f1d, (q31_t)0x71af848a, (q31_t)0xc52e8a6d, (q31_t)0x71aca145, (q31_t)0xc528f5e1,
+ (q31_t)0x71a9bdba, (q31_t)0xc523617a, (q31_t)0x71a6d9e9, (q31_t)0xc51dcd37, (q31_t)0x71a3f5d2, (q31_t)0xc5183919, (q31_t)0x71a11175, (q31_t)0xc512a51f,
+ (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x719b47e9, (q31_t)0xc5077d97, (q31_t)0x719862b9, (q31_t)0xc501ea0a, (q31_t)0x71957d44, (q31_t)0xc4fc56a2,
+ (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x718fb187, (q31_t)0xc4f1303d, (q31_t)0x718ccb3f, (q31_t)0xc4eb9d42, (q31_t)0x7189e4b2, (q31_t)0xc4e60a6b,
+ (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x718416c4, (q31_t)0xc4dae52a, (q31_t)0x71812f65, (q31_t)0xc4d552c1, (q31_t)0x717e47bf, (q31_t)0xc4cfc07c,
+ (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b, (q31_t)0x717877a1, (q31_t)0xc4c49c5f, (q31_t)0x71758f29, (q31_t)0xc4bf0a87, (q31_t)0x7172a66c, (q31_t)0xc4b978d4,
+ (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x716cd41e, (q31_t)0xc4ae55dc, (q31_t)0x7169ea8f, (q31_t)0xc4a8c497, (q31_t)0x716700b9, (q31_t)0xc4a33376,
+ (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71612c3c, (q31_t)0xc49811a3, (q31_t)0x715e4194, (q31_t)0xc49280f0, (q31_t)0x715b56a7, (q31_t)0xc48cf062,
+ (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x71557ffa, (q31_t)0xc481cfb4, (q31_t)0x7152943b, (q31_t)0xc47c3f94, (q31_t)0x714fa836, (q31_t)0xc476af98,
+ (q31_t)0x714cbbeb, (q31_t)0xc4711fc2, (q31_t)0x7149cf5a, (q31_t)0xc46b9010, (q31_t)0x7146e284, (q31_t)0xc4660083, (q31_t)0x7143f567, (q31_t)0xc460711b,
+ (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x713e1a5c, (q31_t)0xc45552b8, (q31_t)0x713b2c6e, (q31_t)0xc44fc3be, (q31_t)0x71383e3a, (q31_t)0xc44a34e9,
+ (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x71326101, (q31_t)0xc43f17ad, (q31_t)0x712f71fb, (q31_t)0xc4398947, (q31_t)0x712c82b0, (q31_t)0xc433fb05,
+ (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x7126a348, (q31_t)0xc428def0, (q31_t)0x7123b32b, (q31_t)0xc423511d, (q31_t)0x7120c2c8, (q31_t)0xc41dc36f,
+ (q31_t)0x711dd220, (q31_t)0xc41835e6, (q31_t)0x711ae132, (q31_t)0xc412a882, (q31_t)0x7117effe, (q31_t)0xc40d1b42, (q31_t)0x7114fe84, (q31_t)0xc4078e28,
+ (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x710f1ac0, (q31_t)0xc3fc7462, (q31_t)0x710c2875, (q31_t)0xc3f6e7b7, (q31_t)0x710935e4, (q31_t)0xc3f15b31,
+ (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x71034ff2, (q31_t)0xc3e64294, (q31_t)0x71005c90, (q31_t)0xc3e0b67d, (q31_t)0x70fd68e9, (q31_t)0xc3db2a8b,
+ (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70f780c9, (q31_t)0xc3d01316, (q31_t)0x70f48c50, (q31_t)0xc3ca8793, (q31_t)0x70f19792, (q31_t)0xc3c4fc36,
+ (q31_t)0x70eea28e, (q31_t)0xc3bf70fd, (q31_t)0x70ebad45, (q31_t)0xc3b9e5ea, (q31_t)0x70e8b7b5, (q31_t)0xc3b45afc, (q31_t)0x70e5c1e1, (q31_t)0xc3aed034,
+ (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70dfd566, (q31_t)0xc3a3bb12, (q31_t)0x70dcdec0, (q31_t)0xc39e30b8, (q31_t)0x70d9e7d5, (q31_t)0xc398a685,
+ (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70d3f92d, (q31_t)0xc38d928d, (q31_t)0x70d10171, (q31_t)0xc38808c9, (q31_t)0x70ce096f, (q31_t)0xc3827f2a,
+ (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70c8189b, (q31_t)0xc3776c5c, (q31_t)0x70c51fc8, (q31_t)0xc371e32d, (q31_t)0x70c226b0, (q31_t)0xc36c5a24,
+ (q31_t)0x70bf2d53, (q31_t)0xc366d140, (q31_t)0x70bc33b0, (q31_t)0xc3614881, (q31_t)0x70b939c7, (q31_t)0xc35bbfe8, (q31_t)0x70b63f99, (q31_t)0xc3563774,
+ (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70b04a6b, (q31_t)0xc34b26fc, (q31_t)0x70ad4f6d, (q31_t)0xc3459ef9, (q31_t)0x70aa5428, (q31_t)0xc340171b,
+ (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x70a45ccf, (q31_t)0xc33507cf, (q31_t)0x70a160ba, (q31_t)0xc32f8061, (q31_t)0x709e6460, (q31_t)0xc329f919,
+ (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x70986adb, (q31_t)0xc31eeaf9, (q31_t)0x70956db1, (q31_t)0xc3196422, (q31_t)0x70927041, (q31_t)0xc313dd70,
+ (q31_t)0x708f728b, (q31_t)0xc30e56e4, (q31_t)0x708c7490, (q31_t)0xc308d07d, (q31_t)0x70897650, (q31_t)0xc3034a3c, (q31_t)0x708677ca, (q31_t)0xc2fdc420,
+ (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x708079ee, (q31_t)0xc2f2b85a, (q31_t)0x707d7a98, (q31_t)0xc2ed32af, (q31_t)0x707a7afd, (q31_t)0xc2e7ad2a,
+ (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x70747af6, (q31_t)0xc2dca291, (q31_t)0x70717a8a, (q31_t)0xc2d71d7e, (q31_t)0x706e79d9, (q31_t)0xc2d1988f,
+ (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x706877a7, (q31_t)0xc2c68f24, (q31_t)0x70657626, (q31_t)0xc2c10aa7, (q31_t)0x70627460, (q31_t)0xc2bb8650,
+ (q31_t)0x705f7255, (q31_t)0xc2b6021f, (q31_t)0x705c7004, (q31_t)0xc2b07e14, (q31_t)0x70596d6d, (q31_t)0xc2aafa2e, (q31_t)0x70566a92, (q31_t)0xc2a5766e,
+ (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x7050640b, (q31_t)0xc29a6f60, (q31_t)0x704d6060, (q31_t)0xc294ec12, (q31_t)0x704a5c6f, (q31_t)0xc28f68e9,
+ (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x704453be, (q31_t)0xc284630a, (q31_t)0x70414efd, (q31_t)0xc27ee054, (q31_t)0x703e49f8, (q31_t)0xc2795dc3,
+ (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x70383f1d, (q31_t)0xc26e5913, (q31_t)0x70353947, (q31_t)0xc268d6f5, (q31_t)0x7032332d, (q31_t)0xc26354fc,
+ (q31_t)0x702f2ccd, (q31_t)0xc25dd329, (q31_t)0x702c2628, (q31_t)0xc258517c, (q31_t)0x70291f3e, (q31_t)0xc252cff5, (q31_t)0x7026180e, (q31_t)0xc24d4e95,
+ (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x702008e0, (q31_t)0xc2424c46, (q31_t)0x701d00e1, (q31_t)0xc23ccb57, (q31_t)0x7019f89d, (q31_t)0xc2374a8f,
+ (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x7013e746, (q31_t)0xc22c4970, (q31_t)0x7010de32, (q31_t)0xc226c91a, (q31_t)0x700dd4da, (q31_t)0xc22148ea,
+ (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x7007c159, (q31_t)0xc21648fd, (q31_t)0x7004b731, (q31_t)0xc210c940, (q31_t)0x7001acc4, (q31_t)0xc20b49a9,
+ (q31_t)0x6ffea212, (q31_t)0xc205ca38, (q31_t)0x6ffb971b, (q31_t)0xc2004aed, (q31_t)0x6ff88bde, (q31_t)0xc1facbc9, (q31_t)0x6ff5805d, (q31_t)0xc1f54cca,
+ (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fef688b, (q31_t)0xc1ea4f41, (q31_t)0x6fec5c3b, (q31_t)0xc1e4d0b6, (q31_t)0x6fe94fa5, (q31_t)0xc1df5251,
+ (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fe335ab, (q31_t)0xc1d455f9, (q31_t)0x6fe02846, (q31_t)0xc1ced807, (q31_t)0x6fdd1a9c, (q31_t)0xc1c95a3c,
+ (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fd6fe7a, (q31_t)0xc1be5f18, (q31_t)0x6fd3f001, (q31_t)0xc1b8e1bf, (q31_t)0x6fd0e144, (q31_t)0xc1b3648d,
+ (q31_t)0x6fcdd241, (q31_t)0xc1ade781, (q31_t)0x6fcac2fa, (q31_t)0xc1a86a9c, (q31_t)0x6fc7b36d, (q31_t)0xc1a2edde, (q31_t)0x6fc4a39c, (q31_t)0xc19d7145,
+ (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fbe832a, (q31_t)0xc1927888, (q31_t)0x6fbb728a, (q31_t)0xc18cfc63, (q31_t)0x6fb861a4, (q31_t)0xc1878065,
+ (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fb23f0b, (q31_t)0xc17c88dc, (q31_t)0x6faf2d57, (q31_t)0xc1770d52, (q31_t)0x6fac1b5f, (q31_t)0xc17191ee,
+ (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6fa5f69e, (q31_t)0xc1669b99, (q31_t)0x6fa2e3d7, (q31_t)0xc16120a9, (q31_t)0x6f9fd0cb, (q31_t)0xc15ba5df,
+ (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d, (q31_t)0x6f99a9e3, (q31_t)0xc150b0c0, (q31_t)0x6f969608, (q31_t)0xc14b366b, (q31_t)0x6f9381e9, (q31_t)0xc145bc3c,
+ (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f8d58db, (q31_t)0xc13ac852, (q31_t)0x6f8a43ed, (q31_t)0xc1354e97, (q31_t)0x6f872eba, (q31_t)0xc12fd503,
+ (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f810386, (q31_t)0xc124e24f, (q31_t)0x6f7ded84, (q31_t)0xc11f692f, (q31_t)0x6f7ad73e, (q31_t)0xc119f036,
+ (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f74a9e4, (q31_t)0xc10efeb8, (q31_t)0x6f7192cf, (q31_t)0xc1098634, (q31_t)0x6f6e7b76, (q31_t)0xc1040dd6,
+ (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f, (q31_t)0x6f684bf6, (q31_t)0xc0f91d8f, (q31_t)0x6f6533ce, (q31_t)0xc0f3a5a6, (q31_t)0x6f621b62, (q31_t)0xc0ee2de3,
+ (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f5be9bc, (q31_t)0xc0e33ed4, (q31_t)0x6f58d082, (q31_t)0xc0ddc786, (q31_t)0x6f55b703, (q31_t)0xc0d8505f,
+ (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f4f8338, (q31_t)0xc0cd6287, (q31_t)0x6f4c68eb, (q31_t)0xc0c7ebd6, (q31_t)0x6f494e5a, (q31_t)0xc0c2754b,
+ (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f431869, (q31_t)0xc0b788ab, (q31_t)0x6f3ffd09, (q31_t)0xc0b21295, (q31_t)0x6f3ce165, (q31_t)0xc0ac9ca6,
+ (q31_t)0x6f39c57d, (q31_t)0xc0a726df, (q31_t)0x6f36a94f, (q31_t)0xc0a1b13e, (q31_t)0x6f338cde, (q31_t)0xc09c3bc5, (q31_t)0x6f307027, (q31_t)0xc096c673,
+ (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f2a35ed, (q31_t)0xc08bdc44, (q31_t)0x6f271868, (q31_t)0xc0866767, (q31_t)0x6f23faa0, (q31_t)0xc080f2b1,
+ (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1dbe41, (q31_t)0xc07609bb, (q31_t)0x6f1a9faa, (q31_t)0xc070957b, (q31_t)0x6f1780cf, (q31_t)0xc06b2162,
+ (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f11424c, (q31_t)0xc06039a6, (q31_t)0x6f0e22a3, (q31_t)0xc05ac603, (q31_t)0x6f0b02b6, (q31_t)0xc0555287,
+ (q31_t)0x6f07e285, (q31_t)0xc04fdf32, (q31_t)0x6f04c20f, (q31_t)0xc04a6c05, (q31_t)0x6f01a155, (q31_t)0xc044f8fe, (q31_t)0x6efe8056, (q31_t)0xc03f8620,
+ (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6ef83d8a, (q31_t)0xc034a0d8, (q31_t)0x6ef51bbe, (q31_t)0xc02f2e6f, (q31_t)0x6ef1f9ad, (q31_t)0xc029bc2e,
+ (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6eebb4bf, (q31_t)0xc01ed821, (q31_t)0x6ee891e1, (q31_t)0xc0196656, (q31_t)0x6ee56ebe, (q31_t)0xc013f4b2,
+ (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6edf27ac, (q31_t)0xc00911e1, (q31_t)0x6edc03bc, (q31_t)0xc003a0b3, (q31_t)0x6ed8df88, (q31_t)0xbffe2fad,
+ (q31_t)0x6ed5bb10, (q31_t)0xbff8bece, (q31_t)0x6ed29653, (q31_t)0xbff34e17, (q31_t)0x6ecf7152, (q31_t)0xbfeddd88, (q31_t)0x6ecc4c0d, (q31_t)0xbfe86d20,
+ (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ec600b5, (q31_t)0xbfdd8cc6, (q31_t)0x6ec2daa2, (q31_t)0xbfd81cd5, (q31_t)0x6ebfb44b, (q31_t)0xbfd2ad0b,
+ (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eb966d1, (q31_t)0xbfc7cdee, (q31_t)0x6eb63fad, (q31_t)0xbfc25e9b, (q31_t)0x6eb31845, (q31_t)0xbfbcef70,
+ (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6eacc8a8, (q31_t)0xbfb21190, (q31_t)0x6ea9a073, (q31_t)0xbfaca2dc, (q31_t)0x6ea677fa, (q31_t)0xbfa7344f,
+ (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea, (q31_t)0x6ea0263b, (q31_t)0xbf9c57ac, (q31_t)0x6e9cfcf5, (q31_t)0xbf96e997, (q31_t)0x6e99d36b, (q31_t)0xbf917ba9,
+ (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e937f8a, (q31_t)0xbf86a044, (q31_t)0x6e905534, (q31_t)0xbf8132ce, (q31_t)0x6e8d2a99, (q31_t)0xbf7bc57f,
+ (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e86d496, (q31_t)0xbf70eb59, (q31_t)0x6e83a92f, (q31_t)0xbf6b7e81, (q31_t)0x6e807d83, (q31_t)0xbf6611d2,
+ (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e7a255f, (q31_t)0xbf5b38ea, (q31_t)0x6e76f8e7, (q31_t)0xbf55ccb2, (q31_t)0x6e73cc2b, (q31_t)0xbf5060a2,
+ (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba, (q31_t)0x6e6d71e6, (q31_t)0xbf4588fa, (q31_t)0x6e6a445d, (q31_t)0xbf401d61, (q31_t)0x6e671690, (q31_t)0xbf3ab1f1,
+ (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e60ba2a, (q31_t)0xbf2fdb88, (q31_t)0x6e5d8b91, (q31_t)0xbf2a708f, (q31_t)0x6e5a5cb4, (q31_t)0xbf2505bf,
+ (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e53fe2e, (q31_t)0xbf1a3096, (q31_t)0x6e50ce84, (q31_t)0xbf14c63d, (q31_t)0x6e4d9e97, (q31_t)0xbf0f5c0d,
+ (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e473df0, (q31_t)0xbf048824, (q31_t)0x6e440d37, (q31_t)0xbeff1e6c, (q31_t)0x6e40dc39, (q31_t)0xbef9b4dc,
+ (q31_t)0x6e3daaf8, (q31_t)0xbef44b74, (q31_t)0x6e3a7972, (q31_t)0xbeeee234, (q31_t)0x6e3747a9, (q31_t)0xbee9791c, (q31_t)0x6e34159b, (q31_t)0xbee4102d,
+ (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e2db0b4, (q31_t)0xbed93ec6, (q31_t)0x6e2a7ddb, (q31_t)0xbed3d64f, (q31_t)0x6e274abe, (q31_t)0xbece6e00,
+ (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e20e3b7, (q31_t)0xbec39ddb, (q31_t)0x6e1dafce, (q31_t)0xbebe3605, (q31_t)0x6e1a7ba1, (q31_t)0xbeb8ce57,
+ (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e14127b, (q31_t)0xbeadff74, (q31_t)0x6e10dd82, (q31_t)0xbea8983f, (q31_t)0x6e0da845, (q31_t)0xbea33132,
+ (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e, (q31_t)0x6e073d00, (q31_t)0xbe986391, (q31_t)0x6e0406f8, (q31_t)0xbe92fcfe, (q31_t)0x6e00d0ac, (q31_t)0xbe8d9692,
+ (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6dfa6348, (q31_t)0xbe82ca35, (q31_t)0x6df72c30, (q31_t)0xbe7d6442, (q31_t)0x6df3f4d4, (q31_t)0xbe77fe78,
+ (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6ded8552, (q31_t)0xbe6d335e, (q31_t)0x6dea4d2b, (q31_t)0xbe67ce0d, (q31_t)0x6de714c0, (q31_t)0xbe6268e5,
+ (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6de0a31f, (q31_t)0xbe579f0f, (q31_t)0x6ddd69e9, (q31_t)0xbe523a60, (q31_t)0x6dda306f, (q31_t)0xbe4cd5da,
+ (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c, (q31_t)0x6dd3bcaf, (q31_t)0xbe420d47, (q31_t)0x6dd0826a, (q31_t)0xbe3ca93b, (q31_t)0x6dcd47e1, (q31_t)0xbe374557,
+ (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dc6d204, (q31_t)0xbe2c7e09, (q31_t)0x6dc396b0, (q31_t)0xbe271a9f, (q31_t)0x6dc05b18, (q31_t)0xbe21b75d,
+ (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db9e31d, (q31_t)0xbe16f154, (q31_t)0x6db6a6ba, (q31_t)0xbe118e8c, (q31_t)0x6db36a14, (q31_t)0xbe0c2bed,
+ (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6daceffb, (q31_t)0xbe01672a, (q31_t)0x6da9b28a, (q31_t)0xbdfc0505, (q31_t)0x6da674d5, (q31_t)0xbdf6a309,
+ (q31_t)0x6da336dc, (q31_t)0xbdf14135, (q31_t)0x6d9ff89f, (q31_t)0xbdebdf8b, (q31_t)0x6d9cba1f, (q31_t)0xbde67e09, (q31_t)0x6d997b5b, (q31_t)0xbde11cb0,
+ (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d92fd09, (q31_t)0xbdd65a78, (q31_t)0x6d8fbd7a, (q31_t)0xbdd0f999, (q31_t)0x6d8c7da8, (q31_t)0xbdcb98e3,
+ (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d85fd39, (q31_t)0xbdc0d7f2, (q31_t)0x6d82bc9d, (q31_t)0xbdbb77b7, (q31_t)0x6d7f7bbc, (q31_t)0xbdb617a4,
+ (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d78f931, (q31_t)0xbdab57fa, (q31_t)0x6d75b786, (q31_t)0xbda5f862, (q31_t)0x6d727597, (q31_t)0xbda098f3,
+ (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad, (q31_t)0x6d6bf0f0, (q31_t)0xbd95da91, (q31_t)0x6d68ae37, (q31_t)0xbd907b9d, (q31_t)0x6d656b3a, (q31_t)0xbd8b1cd2,
+ (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d5ee477, (q31_t)0xbd805fb7, (q31_t)0x6d5ba0b0, (q31_t)0xbd7b0167, (q31_t)0x6d585ca6, (q31_t)0xbd75a340,
+ (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d51d3c6, (q31_t)0xbd6ae76d, (q31_t)0x6d4e8ef2, (q31_t)0xbd6589c1, (q31_t)0x6d4b49da, (q31_t)0xbd602c3f,
+ (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d44bedf, (q31_t)0xbd5571b5, (q31_t)0x6d4178fd, (q31_t)0xbd5014ad, (q31_t)0x6d3e32d7, (q31_t)0xbd4ab7cf,
+ (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a, (q31_t)0x6d37a5c1, (q31_t)0xbd3ffe8e, (q31_t)0x6d345ed1, (q31_t)0xbd3aa22c, (q31_t)0x6d31179e, (q31_t)0xbd3545f2,
+ (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d2a886e, (q31_t)0xbd2a8dfb, (q31_t)0x6d274070, (q31_t)0xbd25323d, (q31_t)0x6d23f830, (q31_t)0xbd1fd6a8,
+ (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d1d66e4, (q31_t)0xbd151ffb, (q31_t)0x6d1a1dda, (q31_t)0xbd0fc4e2, (q31_t)0x6d16d48c, (q31_t)0xbd0a69f2,
+ (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d104126, (q31_t)0xbcffb48f, (q31_t)0x6d0cf70f, (q31_t)0xbcfa5a1b, (q31_t)0x6d09acb4, (q31_t)0xbcf4ffd1,
+ (q31_t)0x6d066215, (q31_t)0xbcefa5b0, (q31_t)0x6d031734, (q31_t)0xbcea4bb9, (q31_t)0x6cffcc0f, (q31_t)0xbce4f1eb, (q31_t)0x6cfc80a7, (q31_t)0xbcdf9846,
+ (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cf5e90d, (q31_t)0xbcd4e579, (q31_t)0x6cf29cdc, (q31_t)0xbccf8c50, (q31_t)0x6cef5067, (q31_t)0xbcca3351,
+ (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6ce8b6b4, (q31_t)0xbcbf81cf, (q31_t)0x6ce56975, (q31_t)0xbcba294d, (q31_t)0x6ce21bf4, (q31_t)0xbcb4d0f4,
+ (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cdb8027, (q31_t)0xbcaa20be, (q31_t)0x6cd831dc, (q31_t)0xbca4c8e1, (q31_t)0x6cd4e34e, (q31_t)0xbc9f712e,
+ (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5, (q31_t)0x6cce4568, (q31_t)0xbc94c245, (q31_t)0x6ccaf610, (q31_t)0xbc8f6b0f, (q31_t)0x6cc7a676, (q31_t)0xbc8a1402,
+ (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cc10677, (q31_t)0xbc7f6665, (q31_t)0x6cbdb613, (q31_t)0xbc7a0fd6, (q31_t)0x6cba656c, (q31_t)0xbc74b96f,
+ (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6cb3c355, (q31_t)0xbc6a0d20, (q31_t)0x6cb071e4, (q31_t)0xbc64b737, (q31_t)0x6cad2031, (q31_t)0xbc5f6177,
+ (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6ca67c01, (q31_t)0xbc54b676, (q31_t)0x6ca32985, (q31_t)0xbc4f6134, (q31_t)0x6c9fd6c6, (q31_t)0xbc4a0c1b,
+ (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c, (q31_t)0x6c99307e, (q31_t)0xbc3f6267, (q31_t)0x6c95dcf6, (q31_t)0xbc3a0dcc, (q31_t)0x6c92892a, (q31_t)0xbc34b95b,
+ (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c8be0cb, (q31_t)0xbc2a10f6, (q31_t)0x6c888c36, (q31_t)0xbc24bd02, (q31_t)0x6c85375f, (q31_t)0xbc1f6938,
+ (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c7e8ce8, (q31_t)0xbc14c221, (q31_t)0x6c7b3748, (q31_t)0xbc0f6ed5, (q31_t)0x6c77e165, (q31_t)0xbc0a1bb3,
+ (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c7134d7, (q31_t)0xbbff75ec, (q31_t)0x6c6dde2b, (q31_t)0xbbfa2347, (q31_t)0x6c6a873d, (q31_t)0xbbf4d0cc,
+ (q31_t)0x6c67300b, (q31_t)0xbbef7e7c, (q31_t)0x6c63d897, (q31_t)0xbbea2c55, (q31_t)0x6c6080e0, (q31_t)0xbbe4da58, (q31_t)0x6c5d28e6, (q31_t)0xbbdf8885,
+ (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c56782a, (q31_t)0xbbd4e55e, (q31_t)0x6c531f67, (q31_t)0xbbcf940a, (q31_t)0x6c4fc662, (q31_t)0xbbca42df,
+ (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c49138f, (q31_t)0xbbbfa108, (q31_t)0x6c45b9c1, (q31_t)0xbbba505c, (q31_t)0x6c425fb1, (q31_t)0xbbb4ffda,
+ (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c3baac7, (q31_t)0xbbaa5f54, (q31_t)0x6c384fef, (q31_t)0xbba50f50, (q31_t)0x6c34f4d3, (q31_t)0xbb9fbf77,
+ (q31_t)0x6c319975, (q31_t)0xbb9a6fc7, (q31_t)0x6c2e3dd4, (q31_t)0xbb952042, (q31_t)0x6c2ae1f0, (q31_t)0xbb8fd0e7, (q31_t)0x6c2785ca, (q31_t)0xbb8a81b6,
+ (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c20ccb4, (q31_t)0xbb7fe3d3, (q31_t)0x6c1d6fc6, (q31_t)0xbb7a9521, (q31_t)0x6c1a1295, (q31_t)0xbb754699,
+ (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c13576a, (q31_t)0xbb6aaa09, (q31_t)0x6c0ff971, (q31_t)0xbb655c00, (q31_t)0x6c0c9b35, (q31_t)0xbb600e21,
+ (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6c05ddf5, (q31_t)0xbb5572e3, (q31_t)0x6c027ef1, (q31_t)0xbb502583, (q31_t)0x6bff1faa, (q31_t)0xbb4ad84e,
+ (q31_t)0x6bfbc021, (q31_t)0xbb458b43, (q31_t)0x6bf86055, (q31_t)0xbb403e63, (q31_t)0x6bf50047, (q31_t)0xbb3af1ad, (q31_t)0x6bf19ff6, (q31_t)0xbb35a521,
+ (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6beade8c, (q31_t)0xbb2b0c8a, (q31_t)0x6be77d74, (q31_t)0xbb25c07d, (q31_t)0x6be41c18, (q31_t)0xbb20749c,
+ (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bdd589a, (q31_t)0xbb15dd57, (q31_t)0x6bd9f677, (q31_t)0xbb1091f5, (q31_t)0x6bd69412, (q31_t)0xbb0b46bd,
+ (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bcfce80, (q31_t)0xbb00b0ce, (q31_t)0x6bcc6b53, (q31_t)0xbafb6615, (q31_t)0x6bc907e3, (q31_t)0xbaf61b88,
+ (q31_t)0x6bc5a431, (q31_t)0xbaf0d125, (q31_t)0x6bc2403d, (q31_t)0xbaeb86ed, (q31_t)0x6bbedc06, (q31_t)0xbae63cdf, (q31_t)0x6bbb778d, (q31_t)0xbae0f2fc,
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+ (q31_t)0x679f95b7, (q31_t)0xb4dbdc42, (q31_t)0x679be557, (q31_t)0xb4d6c62e, (q31_t)0x679834b6, (q31_t)0xb4d1b048, (q31_t)0x679483d6, (q31_t)0xb4cc9a90,
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+ (q31_t)0x50229da1, (q31_t)0x9c303dcf, (q31_t)0x501db743, (q31_t)0x9c2c4eec, (q31_t)0x5018d0b4, (q31_t)0x9c286046, (q31_t)0x5013e9f4, (q31_t)0x9c2471de,
+ (q31_t)0x500f0302, (q31_t)0x9c2083b3, (q31_t)0x500a1bdf, (q31_t)0x9c1c95c6, (q31_t)0x5005348a, (q31_t)0x9c18a816, (q31_t)0x50004d04, (q31_t)0x9c14baa4,
+ (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ff67d64, (q31_t)0x9c0ce07a, (q31_t)0x4ff1954b, (q31_t)0x9c08f3c1, (q31_t)0x4fecacff, (q31_t)0x9c050745,
+ (q31_t)0x4fe7c483, (q31_t)0x9c011b08, (q31_t)0x4fe2dbd5, (q31_t)0x9bfd2f08, (q31_t)0x4fddf2f6, (q31_t)0x9bf94346, (q31_t)0x4fd909e5, (q31_t)0x9bf557c1,
+ (q31_t)0x4fd420a4, (q31_t)0x9bf16c7a, (q31_t)0x4fcf3731, (q31_t)0x9bed8171, (q31_t)0x4fca4d8d, (q31_t)0x9be996a6, (q31_t)0x4fc563b7, (q31_t)0x9be5ac18,
+ (q31_t)0x4fc079b1, (q31_t)0x9be1c1c8, (q31_t)0x4fbb8f79, (q31_t)0x9bddd7b6, (q31_t)0x4fb6a510, (q31_t)0x9bd9ede2, (q31_t)0x4fb1ba76, (q31_t)0x9bd6044b,
+ (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4fa7e4af, (q31_t)0x9bce31d8, (q31_t)0x4fa2f981, (q31_t)0x9bca48fa, (q31_t)0x4f9e0e22, (q31_t)0x9bc6605b,
+ (q31_t)0x4f992293, (q31_t)0x9bc277fa, (q31_t)0x4f9436d2, (q31_t)0x9bbe8fd6, (q31_t)0x4f8f4ae0, (q31_t)0x9bbaa7f0, (q31_t)0x4f8a5ebd, (q31_t)0x9bb6c048,
+ (q31_t)0x4f857269, (q31_t)0x9bb2d8de, (q31_t)0x4f8085e4, (q31_t)0x9baef1b2, (q31_t)0x4f7b992d, (q31_t)0x9bab0ac3, (q31_t)0x4f76ac46, (q31_t)0x9ba72413,
+ (q31_t)0x4f71bf2e, (q31_t)0x9ba33da0, (q31_t)0x4f6cd1e5, (q31_t)0x9b9f576b, (q31_t)0x4f67e46a, (q31_t)0x9b9b7174, (q31_t)0x4f62f6bf, (q31_t)0x9b978bbc,
+ (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f591ad6, (q31_t)0x9b8fc104, (q31_t)0x4f542c98, (q31_t)0x9b8bdc05, (q31_t)0x4f4f3e29, (q31_t)0x9b87f744,
+ (q31_t)0x4f4a4f89, (q31_t)0x9b8412c1, (q31_t)0x4f4560b8, (q31_t)0x9b802e7b, (q31_t)0x4f4071b6, (q31_t)0x9b7c4a74, (q31_t)0x4f3b8284, (q31_t)0x9b7866ab,
+ (q31_t)0x4f369320, (q31_t)0x9b748320, (q31_t)0x4f31a38c, (q31_t)0x9b709fd3, (q31_t)0x4f2cb3c7, (q31_t)0x9b6cbcc4, (q31_t)0x4f27c3d1, (q31_t)0x9b68d9f3,
+ (q31_t)0x4f22d3aa, (q31_t)0x9b64f760, (q31_t)0x4f1de352, (q31_t)0x9b61150b, (q31_t)0x4f18f2c9, (q31_t)0x9b5d32f4, (q31_t)0x4f140210, (q31_t)0x9b59511c,
+ (q31_t)0x4f0f1126, (q31_t)0x9b556f81, (q31_t)0x4f0a200b, (q31_t)0x9b518e24, (q31_t)0x4f052ec0, (q31_t)0x9b4dad06, (q31_t)0x4f003d43, (q31_t)0x9b49cc26,
+ (q31_t)0x4efb4b96, (q31_t)0x9b45eb83, (q31_t)0x4ef659b8, (q31_t)0x9b420b1f, (q31_t)0x4ef167aa, (q31_t)0x9b3e2af9, (q31_t)0x4eec756b, (q31_t)0x9b3a4b11,
+ (q31_t)0x4ee782fb, (q31_t)0x9b366b68, (q31_t)0x4ee2905a, (q31_t)0x9b328bfc, (q31_t)0x4edd9d89, (q31_t)0x9b2eaccf, (q31_t)0x4ed8aa87, (q31_t)0x9b2acde0,
+ (q31_t)0x4ed3b755, (q31_t)0x9b26ef2f, (q31_t)0x4ecec3f2, (q31_t)0x9b2310bc, (q31_t)0x4ec9d05e, (q31_t)0x9b1f3288, (q31_t)0x4ec4dc99, (q31_t)0x9b1b5492,
+ (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4ebaf47f, (q31_t)0x9b139960, (q31_t)0x4eb60029, (q31_t)0x9b0fbc24, (q31_t)0x4eb10ba2, (q31_t)0x9b0bdf27,
+ (q31_t)0x4eac16eb, (q31_t)0x9b080268, (q31_t)0x4ea72203, (q31_t)0x9b0425e8, (q31_t)0x4ea22ceb, (q31_t)0x9b0049a5, (q31_t)0x4e9d37a3, (q31_t)0x9afc6da1,
+ (q31_t)0x4e984229, (q31_t)0x9af891db, (q31_t)0x4e934c80, (q31_t)0x9af4b654, (q31_t)0x4e8e56a5, (q31_t)0x9af0db0b, (q31_t)0x4e89609b, (q31_t)0x9aed0000,
+ (q31_t)0x4e846a60, (q31_t)0x9ae92533, (q31_t)0x4e7f73f4, (q31_t)0x9ae54aa5, (q31_t)0x4e7a7d58, (q31_t)0x9ae17056, (q31_t)0x4e75868c, (q31_t)0x9add9644,
+ (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e6b9862, (q31_t)0x9ad5e2dd, (q31_t)0x4e66a105, (q31_t)0x9ad20987, (q31_t)0x4e61a977, (q31_t)0x9ace306f,
+ (q31_t)0x4e5cb1b9, (q31_t)0x9aca5795, (q31_t)0x4e57b9ca, (q31_t)0x9ac67efb, (q31_t)0x4e52c1ab, (q31_t)0x9ac2a69e, (q31_t)0x4e4dc95c, (q31_t)0x9abece80,
+ (q31_t)0x4e48d0dd, (q31_t)0x9abaf6a1, (q31_t)0x4e43d82d, (q31_t)0x9ab71eff, (q31_t)0x4e3edf4d, (q31_t)0x9ab3479d, (q31_t)0x4e39e63d, (q31_t)0x9aaf7079,
+ (q31_t)0x4e34ecfc, (q31_t)0x9aab9993, (q31_t)0x4e2ff38b, (q31_t)0x9aa7c2ec, (q31_t)0x4e2af9ea, (q31_t)0x9aa3ec83, (q31_t)0x4e260019, (q31_t)0x9aa01659,
+ (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4e1c0be6, (q31_t)0x9a986ac1, (q31_t)0x4e171184, (q31_t)0x9a949552, (q31_t)0x4e1216f2, (q31_t)0x9a90c022,
+ (q31_t)0x4e0d1c30, (q31_t)0x9a8ceb31, (q31_t)0x4e08213e, (q31_t)0x9a89167e, (q31_t)0x4e03261b, (q31_t)0x9a85420a, (q31_t)0x4dfe2ac9, (q31_t)0x9a816dd5,
+ (q31_t)0x4df92f46, (q31_t)0x9a7d99de, (q31_t)0x4df43393, (q31_t)0x9a79c625, (q31_t)0x4def37b0, (q31_t)0x9a75f2ac, (q31_t)0x4dea3b9d, (q31_t)0x9a721f71,
+ (q31_t)0x4de53f5a, (q31_t)0x9a6e4c74, (q31_t)0x4de042e7, (q31_t)0x9a6a79b6, (q31_t)0x4ddb4644, (q31_t)0x9a66a737, (q31_t)0x4dd64971, (q31_t)0x9a62d4f7,
+ (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, (q31_t)0x4dcc4f3b, (q31_t)0x9a5b3132, (q31_t)0x4dc751d8, (q31_t)0x9a575fae, (q31_t)0x4dc25445, (q31_t)0x9a538e68,
+ (q31_t)0x4dbd5682, (q31_t)0x9a4fbd61, (q31_t)0x4db8588f, (q31_t)0x9a4bec99, (q31_t)0x4db35a6c, (q31_t)0x9a481c0f, (q31_t)0x4dae5c19, (q31_t)0x9a444bc5,
+ (q31_t)0x4da95d96, (q31_t)0x9a407bb9, (q31_t)0x4da45ee3, (q31_t)0x9a3cabeb, (q31_t)0x4d9f6001, (q31_t)0x9a38dc5d, (q31_t)0x4d9a60ee, (q31_t)0x9a350d0d,
+ (q31_t)0x4d9561ac, (q31_t)0x9a313dfc, (q31_t)0x4d90623a, (q31_t)0x9a2d6f2a, (q31_t)0x4d8b6298, (q31_t)0x9a29a097, (q31_t)0x4d8662c6, (q31_t)0x9a25d243,
+ (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d7c6293, (q31_t)0x9a1e3656, (q31_t)0x4d776231, (q31_t)0x9a1a68be, (q31_t)0x4d7261a0, (q31_t)0x9a169b65,
+ (q31_t)0x4d6d60df, (q31_t)0x9a12ce4b, (q31_t)0x4d685fef, (q31_t)0x9a0f016f, (q31_t)0x4d635ece, (q31_t)0x9a0b34d3, (q31_t)0x4d5e5d7e, (q31_t)0x9a076875,
+ (q31_t)0x4d595bfe, (q31_t)0x9a039c57, (q31_t)0x4d545a4f, (q31_t)0x99ffd077, (q31_t)0x4d4f5870, (q31_t)0x99fc04d6, (q31_t)0x4d4a5661, (q31_t)0x99f83974,
+ (q31_t)0x4d455422, (q31_t)0x99f46e51, (q31_t)0x4d4051b4, (q31_t)0x99f0a36d, (q31_t)0x4d3b4f16, (q31_t)0x99ecd8c8, (q31_t)0x4d364c48, (q31_t)0x99e90e62,
+ (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4d2c461e, (q31_t)0x99e17a53, (q31_t)0x4d2742c2, (q31_t)0x99ddb0aa, (q31_t)0x4d223f36, (q31_t)0x99d9e73f,
+ (q31_t)0x4d1d3b7a, (q31_t)0x99d61e14, (q31_t)0x4d18378f, (q31_t)0x99d25528, (q31_t)0x4d133374, (q31_t)0x99ce8c7b, (q31_t)0x4d0e2f2a, (q31_t)0x99cac40d,
+ (q31_t)0x4d092ab0, (q31_t)0x99c6fbde, (q31_t)0x4d042607, (q31_t)0x99c333ee, (q31_t)0x4cff212e, (q31_t)0x99bf6c3d, (q31_t)0x4cfa1c26, (q31_t)0x99bba4cb,
+ (q31_t)0x4cf516ee, (q31_t)0x99b7dd99, (q31_t)0x4cf01187, (q31_t)0x99b416a5, (q31_t)0x4ceb0bf0, (q31_t)0x99b04ff0, (q31_t)0x4ce6062a, (q31_t)0x99ac897b,
+ (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4cdbfa0f, (q31_t)0x99a4fd4d, (q31_t)0x4cd6f3bb, (q31_t)0x99a13795, (q31_t)0x4cd1ed37, (q31_t)0x999d721c,
+ (q31_t)0x4ccce684, (q31_t)0x9999ace3, (q31_t)0x4cc7dfa1, (q31_t)0x9995e7e8, (q31_t)0x4cc2d88f, (q31_t)0x9992232d, (q31_t)0x4cbdd14e, (q31_t)0x998e5eb1,
+ (q31_t)0x4cb8c9dd, (q31_t)0x998a9a74, (q31_t)0x4cb3c23d, (q31_t)0x9986d676, (q31_t)0x4caeba6e, (q31_t)0x998312b7, (q31_t)0x4ca9b26f, (q31_t)0x997f4f38,
+ (q31_t)0x4ca4aa41, (q31_t)0x997b8bf8, (q31_t)0x4c9fa1e4, (q31_t)0x9977c8f7, (q31_t)0x4c9a9958, (q31_t)0x99740635, (q31_t)0x4c95909c, (q31_t)0x997043b2,
+ (q31_t)0x4c9087b1, (q31_t)0x996c816f, (q31_t)0x4c8b7e97, (q31_t)0x9968bf6b, (q31_t)0x4c86754e, (q31_t)0x9964fda7, (q31_t)0x4c816bd5, (q31_t)0x99613c22,
+ (q31_t)0x4c7c622d, (q31_t)0x995d7adc, (q31_t)0x4c775856, (q31_t)0x9959b9d5, (q31_t)0x4c724e50, (q31_t)0x9955f90d, (q31_t)0x4c6d441b, (q31_t)0x99523885,
+ (q31_t)0x4c6839b7, (q31_t)0x994e783d, (q31_t)0x4c632f23, (q31_t)0x994ab833, (q31_t)0x4c5e2460, (q31_t)0x9946f869, (q31_t)0x4c59196f, (q31_t)0x994338df,
+ (q31_t)0x4c540e4e, (q31_t)0x993f7993, (q31_t)0x4c4f02fe, (q31_t)0x993bba87, (q31_t)0x4c49f77f, (q31_t)0x9937fbbb, (q31_t)0x4c44ebd1, (q31_t)0x99343d2e,
+ (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4c3ad3e7, (q31_t)0x992cc0d2, (q31_t)0x4c35c7ac, (q31_t)0x99290303, (q31_t)0x4c30bb42, (q31_t)0x99254574,
+ (q31_t)0x4c2baea9, (q31_t)0x99218824, (q31_t)0x4c26a1e1, (q31_t)0x991dcb13, (q31_t)0x4c2194e9, (q31_t)0x991a0e42, (q31_t)0x4c1c87c3, (q31_t)0x991651b1,
+ (q31_t)0x4c177a6e, (q31_t)0x9912955f, (q31_t)0x4c126cea, (q31_t)0x990ed94c, (q31_t)0x4c0d5f37, (q31_t)0x990b1d79, (q31_t)0x4c085156, (q31_t)0x990761e5,
+ (q31_t)0x4c034345, (q31_t)0x9903a691, (q31_t)0x4bfe3505, (q31_t)0x98ffeb7d, (q31_t)0x4bf92697, (q31_t)0x98fc30a8, (q31_t)0x4bf417f9, (q31_t)0x98f87612,
+ (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4be9fa32, (q31_t)0x98f101a6, (q31_t)0x4be4eb08, (q31_t)0x98ed47cf, (q31_t)0x4bdfdbaf, (q31_t)0x98e98e38,
+ (q31_t)0x4bdacc28, (q31_t)0x98e5d4e0, (q31_t)0x4bd5bc72, (q31_t)0x98e21bc8, (q31_t)0x4bd0ac8d, (q31_t)0x98de62f0, (q31_t)0x4bcb9c79, (q31_t)0x98daaa57,
+ (q31_t)0x4bc68c36, (q31_t)0x98d6f1fe, (q31_t)0x4bc17bc5, (q31_t)0x98d339e4, (q31_t)0x4bbc6b25, (q31_t)0x98cf820b, (q31_t)0x4bb75a56, (q31_t)0x98cbca70,
+ (q31_t)0x4bb24958, (q31_t)0x98c81316, (q31_t)0x4bad382c, (q31_t)0x98c45bfb, (q31_t)0x4ba826d1, (q31_t)0x98c0a520, (q31_t)0x4ba31548, (q31_t)0x98bcee84,
+ (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b98f1a9, (q31_t)0x98b5820c, (q31_t)0x4b93df93, (q31_t)0x98b1cc30, (q31_t)0x4b8ecd4f, (q31_t)0x98ae1693,
+ (q31_t)0x4b89badd, (q31_t)0x98aa6136, (q31_t)0x4b84a83b, (q31_t)0x98a6ac19, (q31_t)0x4b7f956b, (q31_t)0x98a2f73c, (q31_t)0x4b7a826d, (q31_t)0x989f429e,
+ (q31_t)0x4b756f40, (q31_t)0x989b8e40, (q31_t)0x4b705be4, (q31_t)0x9897da22, (q31_t)0x4b6b485a, (q31_t)0x98942643, (q31_t)0x4b6634a2, (q31_t)0x989072a5,
+ (q31_t)0x4b6120bb, (q31_t)0x988cbf46, (q31_t)0x4b5c0ca5, (q31_t)0x98890c27, (q31_t)0x4b56f861, (q31_t)0x98855948, (q31_t)0x4b51e3ee, (q31_t)0x9881a6a9,
+ (q31_t)0x4b4ccf4d, (q31_t)0x987df449, (q31_t)0x4b47ba7e, (q31_t)0x987a422a, (q31_t)0x4b42a580, (q31_t)0x9876904a, (q31_t)0x4b3d9053, (q31_t)0x9872deaa,
+ (q31_t)0x4b387af9, (q31_t)0x986f2d4a, (q31_t)0x4b336570, (q31_t)0x986b7c2a, (q31_t)0x4b2e4fb8, (q31_t)0x9867cb4a, (q31_t)0x4b2939d2, (q31_t)0x98641aa9,
+ (q31_t)0x4b2423be, (q31_t)0x98606a49, (q31_t)0x4b1f0d7b, (q31_t)0x985cba28, (q31_t)0x4b19f70a, (q31_t)0x98590a48, (q31_t)0x4b14e06b, (q31_t)0x98555aa7,
+ (q31_t)0x4b0fc99d, (q31_t)0x9851ab46, (q31_t)0x4b0ab2a1, (q31_t)0x984dfc26, (q31_t)0x4b059b77, (q31_t)0x984a4d45, (q31_t)0x4b00841f, (q31_t)0x98469ea4,
+ (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4af654e3, (q31_t)0x983f4223, (q31_t)0x4af13d00, (q31_t)0x983b9442, (q31_t)0x4aec24ee, (q31_t)0x9837e6a1,
+ (q31_t)0x4ae70caf, (q31_t)0x98343940, (q31_t)0x4ae1f441, (q31_t)0x98308c1f, (q31_t)0x4adcdba5, (q31_t)0x982cdf3f, (q31_t)0x4ad7c2da, (q31_t)0x9829329e,
+ (q31_t)0x4ad2a9e2, (q31_t)0x9825863d, (q31_t)0x4acd90bb, (q31_t)0x9821da1d, (q31_t)0x4ac87767, (q31_t)0x981e2e3c, (q31_t)0x4ac35de4, (q31_t)0x981a829c,
+ (q31_t)0x4abe4433, (q31_t)0x9816d73b, (q31_t)0x4ab92a54, (q31_t)0x98132c1b, (q31_t)0x4ab41046, (q31_t)0x980f813b, (q31_t)0x4aaef60b, (q31_t)0x980bd69b,
+ (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4aa4c10b, (q31_t)0x9804821b, (q31_t)0x4a9fa645, (q31_t)0x9800d83c, (q31_t)0x4a9a8b52, (q31_t)0x97fd2e9c,
+ (q31_t)0x4a957030, (q31_t)0x97f9853d, (q31_t)0x4a9054e1, (q31_t)0x97f5dc1e, (q31_t)0x4a8b3963, (q31_t)0x97f2333f, (q31_t)0x4a861db8, (q31_t)0x97ee8aa0,
+ (q31_t)0x4a8101de, (q31_t)0x97eae242, (q31_t)0x4a7be5d7, (q31_t)0x97e73a23, (q31_t)0x4a76c9a2, (q31_t)0x97e39245, (q31_t)0x4a71ad3e, (q31_t)0x97dfeaa7,
+ (q31_t)0x4a6c90ad, (q31_t)0x97dc4349, (q31_t)0x4a6773ee, (q31_t)0x97d89c2c, (q31_t)0x4a625701, (q31_t)0x97d4f54f, (q31_t)0x4a5d39e6, (q31_t)0x97d14eb2,
+ (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a52ff27, (q31_t)0x97ca0239, (q31_t)0x4a4de182, (q31_t)0x97c65c5c, (q31_t)0x4a48c3b0, (q31_t)0x97c2b6c1,
+ (q31_t)0x4a43a5b0, (q31_t)0x97bf1165, (q31_t)0x4a3e8782, (q31_t)0x97bb6c4a, (q31_t)0x4a396926, (q31_t)0x97b7c76f, (q31_t)0x4a344a9d, (q31_t)0x97b422d4,
+ (q31_t)0x4a2f2be6, (q31_t)0x97b07e7a, (q31_t)0x4a2a0d01, (q31_t)0x97acda60, (q31_t)0x4a24edee, (q31_t)0x97a93687, (q31_t)0x4a1fcead, (q31_t)0x97a592ed,
+ (q31_t)0x4a1aaf3f, (q31_t)0x97a1ef94, (q31_t)0x4a158fa3, (q31_t)0x979e4c7c, (q31_t)0x4a106fda, (q31_t)0x979aa9a4, (q31_t)0x4a0b4fe2, (q31_t)0x9797070c,
+ (q31_t)0x4a062fbd, (q31_t)0x979364b5, (q31_t)0x4a010f6b, (q31_t)0x978fc29e, (q31_t)0x49fbeeea, (q31_t)0x978c20c8, (q31_t)0x49f6ce3c, (q31_t)0x97887f32,
+ (q31_t)0x49f1ad61, (q31_t)0x9784dddc, (q31_t)0x49ec8c57, (q31_t)0x97813cc7, (q31_t)0x49e76b21, (q31_t)0x977d9bf2, (q31_t)0x49e249bc, (q31_t)0x9779fb5e,
+ (q31_t)0x49dd282a, (q31_t)0x97765b0a, (q31_t)0x49d8066b, (q31_t)0x9772baf7, (q31_t)0x49d2e47e, (q31_t)0x976f1b24, (q31_t)0x49cdc263, (q31_t)0x976b7b92,
+ (q31_t)0x49c8a01b, (q31_t)0x9767dc41, (q31_t)0x49c37da5, (q31_t)0x97643d2f, (q31_t)0x49be5b02, (q31_t)0x97609e5f, (q31_t)0x49b93832, (q31_t)0x975cffcf,
+ (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x49aef208, (q31_t)0x9755c370, (q31_t)0x49a9ceaf, (q31_t)0x975225a1, (q31_t)0x49a4ab28, (q31_t)0x974e8813,
+ (q31_t)0x499f8774, (q31_t)0x974aeac6, (q31_t)0x499a6393, (q31_t)0x97474db9, (q31_t)0x49953f84, (q31_t)0x9743b0ed, (q31_t)0x49901b48, (q31_t)0x97401462,
+ (q31_t)0x498af6df, (q31_t)0x973c7817, (q31_t)0x4985d248, (q31_t)0x9738dc0d, (q31_t)0x4980ad84, (q31_t)0x97354043, (q31_t)0x497b8892, (q31_t)0x9731a4ba,
+ (q31_t)0x49766373, (q31_t)0x972e0971, (q31_t)0x49713e27, (q31_t)0x972a6e6a, (q31_t)0x496c18ae, (q31_t)0x9726d3a3, (q31_t)0x4966f307, (q31_t)0x9723391c,
+ (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x495ca732, (q31_t)0x971c04d2, (q31_t)0x49578103, (q31_t)0x97186b0d, (q31_t)0x49525aa7, (q31_t)0x9714d18a,
+ (q31_t)0x494d341e, (q31_t)0x97113847, (q31_t)0x49480d68, (q31_t)0x970d9f45, (q31_t)0x4942e684, (q31_t)0x970a0683, (q31_t)0x493dbf74, (q31_t)0x97066e03,
+ (q31_t)0x49389836, (q31_t)0x9702d5c3, (q31_t)0x493370cb, (q31_t)0x96ff3dc4, (q31_t)0x492e4933, (q31_t)0x96fba605, (q31_t)0x4929216e, (q31_t)0x96f80e88,
+ (q31_t)0x4923f97b, (q31_t)0x96f4774b, (q31_t)0x491ed15c, (q31_t)0x96f0e04f, (q31_t)0x4919a90f, (q31_t)0x96ed4994, (q31_t)0x49148095, (q31_t)0x96e9b319,
+ (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x490a2f1b, (q31_t)0x96e286e7, (q31_t)0x4905061a, (q31_t)0x96def12f, (q31_t)0x48ffdcec, (q31_t)0x96db5bb8,
+ (q31_t)0x48fab391, (q31_t)0x96d7c682, (q31_t)0x48f58a09, (q31_t)0x96d4318d, (q31_t)0x48f06054, (q31_t)0x96d09cd8, (q31_t)0x48eb3672, (q31_t)0x96cd0865,
+ (q31_t)0x48e60c62, (q31_t)0x96c97432, (q31_t)0x48e0e227, (q31_t)0x96c5e040, (q31_t)0x48dbb7be, (q31_t)0x96c24c8f, (q31_t)0x48d68d28, (q31_t)0x96beb91f,
+ (q31_t)0x48d16265, (q31_t)0x96bb25f0, (q31_t)0x48cc3775, (q31_t)0x96b79302, (q31_t)0x48c70c59, (q31_t)0x96b40055, (q31_t)0x48c1e10f, (q31_t)0x96b06de9,
+ (q31_t)0x48bcb599, (q31_t)0x96acdbbe, (q31_t)0x48b789f5, (q31_t)0x96a949d3, (q31_t)0x48b25e25, (q31_t)0x96a5b82a, (q31_t)0x48ad3228, (q31_t)0x96a226c2,
+ (q31_t)0x48a805ff, (q31_t)0x969e959b, (q31_t)0x48a2d9a8, (q31_t)0x969b04b4, (q31_t)0x489dad25, (q31_t)0x9697740f, (q31_t)0x48988074, (q31_t)0x9693e3ab,
+ (q31_t)0x48935397, (q31_t)0x96905388, (q31_t)0x488e268e, (q31_t)0x968cc3a5, (q31_t)0x4888f957, (q31_t)0x96893404, (q31_t)0x4883cbf4, (q31_t)0x9685a4a4,
+ (q31_t)0x487e9e64, (q31_t)0x96821585, (q31_t)0x487970a7, (q31_t)0x967e86a7, (q31_t)0x487442be, (q31_t)0x967af80a, (q31_t)0x486f14a8, (q31_t)0x967769af,
+ (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4864b7f5, (q31_t)0x96704dba, (q31_t)0x485f8959, (q31_t)0x966cc022, (q31_t)0x485a5a90, (q31_t)0x966932cb,
+ (q31_t)0x48552b9b, (q31_t)0x9665a5b4, (q31_t)0x484ffc79, (q31_t)0x966218df, (q31_t)0x484acd2a, (q31_t)0x965e8c4b, (q31_t)0x48459daf, (q31_t)0x965afff9,
+ (q31_t)0x48406e08, (q31_t)0x965773e7, (q31_t)0x483b3e33, (q31_t)0x9653e817, (q31_t)0x48360e32, (q31_t)0x96505c88, (q31_t)0x4830de05, (q31_t)0x964cd139,
+ (q31_t)0x482badab, (q31_t)0x9649462d, (q31_t)0x48267d24, (q31_t)0x9645bb61, (q31_t)0x48214c71, (q31_t)0x964230d7, (q31_t)0x481c1b92, (q31_t)0x963ea68d,
+ (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x4811b94d, (q31_t)0x963792bf, (q31_t)0x480c87e8, (q31_t)0x96340939, (q31_t)0x48075657, (q31_t)0x96307ff5,
+ (q31_t)0x48022499, (q31_t)0x962cf6f2, (q31_t)0x47fcf2af, (q31_t)0x96296e31, (q31_t)0x47f7c099, (q31_t)0x9625e5b0, (q31_t)0x47f28e56, (q31_t)0x96225d71,
+ (q31_t)0x47ed5be6, (q31_t)0x961ed574, (q31_t)0x47e8294a, (q31_t)0x961b4db7, (q31_t)0x47e2f682, (q31_t)0x9617c63c, (q31_t)0x47ddc38e, (q31_t)0x96143f02,
+ (q31_t)0x47d8906d, (q31_t)0x9610b80a, (q31_t)0x47d35d20, (q31_t)0x960d3153, (q31_t)0x47ce29a7, (q31_t)0x9609aadd, (q31_t)0x47c8f601, (q31_t)0x960624a9,
+ (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47be8e31, (q31_t)0x95ff1904, (q31_t)0x47b95a06, (q31_t)0x95fb9394, (q31_t)0x47b425af, (q31_t)0x95f80e65,
+ (q31_t)0x47aef12c, (q31_t)0x95f48977, (q31_t)0x47a9bc7d, (q31_t)0x95f104cb, (q31_t)0x47a487a2, (q31_t)0x95ed8061, (q31_t)0x479f529a, (q31_t)0x95e9fc38,
+ (q31_t)0x479a1d67, (q31_t)0x95e67850, (q31_t)0x4794e807, (q31_t)0x95e2f4a9, (q31_t)0x478fb27b, (q31_t)0x95df7145, (q31_t)0x478a7cc2, (q31_t)0x95dbee21,
+ (q31_t)0x478546de, (q31_t)0x95d86b3f, (q31_t)0x478010cd, (q31_t)0x95d4e89f, (q31_t)0x477ada91, (q31_t)0x95d16640, (q31_t)0x4775a428, (q31_t)0x95cde423,
+ (q31_t)0x47706d93, (q31_t)0x95ca6247, (q31_t)0x476b36d3, (q31_t)0x95c6e0ac, (q31_t)0x4765ffe6, (q31_t)0x95c35f53, (q31_t)0x4760c8cd, (q31_t)0x95bfde3c,
+ (q31_t)0x475b9188, (q31_t)0x95bc5d66, (q31_t)0x47565a17, (q31_t)0x95b8dcd2, (q31_t)0x4751227a, (q31_t)0x95b55c7f, (q31_t)0x474beab1, (q31_t)0x95b1dc6e,
+ (q31_t)0x4746b2bc, (q31_t)0x95ae5c9f, (q31_t)0x47417a9b, (q31_t)0x95aadd11, (q31_t)0x473c424e, (q31_t)0x95a75dc4, (q31_t)0x473709d5, (q31_t)0x95a3deb9,
+ (q31_t)0x4731d131, (q31_t)0x95a05ff0, (q31_t)0x472c9860, (q31_t)0x959ce169, (q31_t)0x47275f63, (q31_t)0x95996323, (q31_t)0x4722263b, (q31_t)0x9595e51e,
+ (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x4717b367, (q31_t)0x958ee9db, (q31_t)0x471279ba, (q31_t)0x958b6c9b, (q31_t)0x470d3fe3, (q31_t)0x9587ef9e,
+ (q31_t)0x470805df, (q31_t)0x958472e2, (q31_t)0x4702cbaf, (q31_t)0x9580f667, (q31_t)0x46fd9154, (q31_t)0x957d7a2f, (q31_t)0x46f856cd, (q31_t)0x9579fe38,
+ (q31_t)0x46f31c1a, (q31_t)0x95768283, (q31_t)0x46ede13b, (q31_t)0x9573070f, (q31_t)0x46e8a631, (q31_t)0x956f8bdd, (q31_t)0x46e36afb, (q31_t)0x956c10ed,
+ (q31_t)0x46de2f99, (q31_t)0x9568963f, (q31_t)0x46d8f40b, (q31_t)0x95651bd2, (q31_t)0x46d3b852, (q31_t)0x9561a1a8, (q31_t)0x46ce7c6d, (q31_t)0x955e27bf,
+ (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46c40420, (q31_t)0x955734b2, (q31_t)0x46bec7b8, (q31_t)0x9553bb8e, (q31_t)0x46b98b24, (q31_t)0x955042ac,
+ (q31_t)0x46b44e65, (q31_t)0x954cca0c, (q31_t)0x46af117a, (q31_t)0x954951ae, (q31_t)0x46a9d464, (q31_t)0x9545d992, (q31_t)0x46a49722, (q31_t)0x954261b7,
+ (q31_t)0x469f59b4, (q31_t)0x953eea1e, (q31_t)0x469a1c1b, (q31_t)0x953b72c7, (q31_t)0x4694de56, (q31_t)0x9537fbb2, (q31_t)0x468fa066, (q31_t)0x953484df,
+ (q31_t)0x468a624a, (q31_t)0x95310e4e, (q31_t)0x46852403, (q31_t)0x952d97fe, (q31_t)0x467fe590, (q31_t)0x952a21f1, (q31_t)0x467aa6f2, (q31_t)0x9526ac25,
+ (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x46702933, (q31_t)0x951fc154, (q31_t)0x466aea12, (q31_t)0x951c4c4e, (q31_t)0x4665aac6, (q31_t)0x9518d78a,
+ (q31_t)0x46606b4e, (q31_t)0x95156308, (q31_t)0x465b2bab, (q31_t)0x9511eec8, (q31_t)0x4655ebdd, (q31_t)0x950e7aca, (q31_t)0x4650abe3, (q31_t)0x950b070e,
+ (q31_t)0x464b6bbe, (q31_t)0x95079394, (q31_t)0x46462b6d, (q31_t)0x9504205c, (q31_t)0x4640eaf2, (q31_t)0x9500ad66, (q31_t)0x463baa4a, (q31_t)0x94fd3ab1,
+ (q31_t)0x46366978, (q31_t)0x94f9c83f, (q31_t)0x4631287a, (q31_t)0x94f6560f, (q31_t)0x462be751, (q31_t)0x94f2e421, (q31_t)0x4626a5fd, (q31_t)0x94ef7275,
+ (q31_t)0x4621647d, (q31_t)0x94ec010b, (q31_t)0x461c22d2, (q31_t)0x94e88fe3, (q31_t)0x4616e0fc, (q31_t)0x94e51efd, (q31_t)0x46119efa, (q31_t)0x94e1ae59,
+ (q31_t)0x460c5cce, (q31_t)0x94de3df8, (q31_t)0x46071a76, (q31_t)0x94dacdd8, (q31_t)0x4601d7f3, (q31_t)0x94d75dfa, (q31_t)0x45fc9545, (q31_t)0x94d3ee5f,
+ (q31_t)0x45f7526b, (q31_t)0x94d07f05, (q31_t)0x45f20f67, (q31_t)0x94cd0fee, (q31_t)0x45eccc37, (q31_t)0x94c9a119, (q31_t)0x45e788dc, (q31_t)0x94c63286,
+ (q31_t)0x45e24556, (q31_t)0x94c2c435, (q31_t)0x45dd01a5, (q31_t)0x94bf5627, (q31_t)0x45d7bdc9, (q31_t)0x94bbe85a, (q31_t)0x45d279c2, (q31_t)0x94b87ad0,
+ (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x45c7f132, (q31_t)0x94b1a081, (q31_t)0x45c2acaa, (q31_t)0x94ae33be, (q31_t)0x45bd67f6, (q31_t)0x94aac73c,
+ (q31_t)0x45b82318, (q31_t)0x94a75afd, (q31_t)0x45b2de0e, (q31_t)0x94a3eeff, (q31_t)0x45ad98da, (q31_t)0x94a08344, (q31_t)0x45a8537a, (q31_t)0x949d17cc,
+ (q31_t)0x45a30df0, (q31_t)0x9499ac95, (q31_t)0x459dc83b, (q31_t)0x949641a1, (q31_t)0x4598825a, (q31_t)0x9492d6ef, (q31_t)0x45933c4f, (q31_t)0x948f6c7f,
+ (q31_t)0x458df619, (q31_t)0x948c0252, (q31_t)0x4588afb8, (q31_t)0x94889867, (q31_t)0x4583692c, (q31_t)0x94852ebe, (q31_t)0x457e2275, (q31_t)0x9481c557,
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+ (q31_t)0x3f58d921, (q31_t)0x90c63a83, (q31_t)0x3f53635a, (q31_t)0x90c31e9b, (q31_t)0x3f4ded6b, (q31_t)0x90c002f7, (q31_t)0x3f487755, (q31_t)0x90bce797,
+ (q31_t)0x3f430119, (q31_t)0x90b9cc7d, (q31_t)0x3f3d8ab5, (q31_t)0x90b6b1a6, (q31_t)0x3f38142a, (q31_t)0x90b39715, (q31_t)0x3f329d79, (q31_t)0x90b07cc8,
+ (q31_t)0x3f2d26a0, (q31_t)0x90ad62c0, (q31_t)0x3f27afa1, (q31_t)0x90aa48fd, (q31_t)0x3f22387a, (q31_t)0x90a72f7e, (q31_t)0x3f1cc12c, (q31_t)0x90a41644,
+ (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3f11d21d, (q31_t)0x909de49e, (q31_t)0x3f0c5a5a, (q31_t)0x909acc32, (q31_t)0x3f06e271, (q31_t)0x9097b40a,
+ (q31_t)0x3f016a61, (q31_t)0x90949c28, (q31_t)0x3efbf22a, (q31_t)0x9091848a, (q31_t)0x3ef679cc, (q31_t)0x908e6d31, (q31_t)0x3ef10148, (q31_t)0x908b561c,
+ (q31_t)0x3eeb889c, (q31_t)0x90883f4d, (q31_t)0x3ee60fca, (q31_t)0x908528c2, (q31_t)0x3ee096d1, (q31_t)0x9082127c, (q31_t)0x3edb1db1, (q31_t)0x907efc7a,
+ (q31_t)0x3ed5a46b, (q31_t)0x907be6be, (q31_t)0x3ed02afd, (q31_t)0x9078d146, (q31_t)0x3ecab169, (q31_t)0x9075bc13, (q31_t)0x3ec537ae, (q31_t)0x9072a725,
+ (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3eba43c4, (q31_t)0x906c7e17, (q31_t)0x3eb4c995, (q31_t)0x906969f8, (q31_t)0x3eaf4f40, (q31_t)0x9066561d,
+ (q31_t)0x3ea9d4c3, (q31_t)0x90634287, (q31_t)0x3ea45a21, (q31_t)0x90602f35, (q31_t)0x3e9edf57, (q31_t)0x905d1c29, (q31_t)0x3e996467, (q31_t)0x905a0962,
+ (q31_t)0x3e93e950, (q31_t)0x9056f6df, (q31_t)0x3e8e6e12, (q31_t)0x9053e4a1, (q31_t)0x3e88f2ae, (q31_t)0x9050d2a9, (q31_t)0x3e837724, (q31_t)0x904dc0f5,
+ (q31_t)0x3e7dfb73, (q31_t)0x904aaf86, (q31_t)0x3e787f9b, (q31_t)0x90479e5c, (q31_t)0x3e73039d, (q31_t)0x90448d76, (q31_t)0x3e6d8778, (q31_t)0x90417cd6,
+ (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e628ebb, (q31_t)0x903b5c64, (q31_t)0x3e5d1222, (q31_t)0x90384c93, (q31_t)0x3e579564, (q31_t)0x90353d06,
+ (q31_t)0x3e52187f, (q31_t)0x90322dbf, (q31_t)0x3e4c9b73, (q31_t)0x902f1ebc, (q31_t)0x3e471e41, (q31_t)0x902c0fff, (q31_t)0x3e41a0e8, (q31_t)0x90290186,
+ (q31_t)0x3e3c2369, (q31_t)0x9025f352, (q31_t)0x3e36a5c4, (q31_t)0x9022e564, (q31_t)0x3e3127f9, (q31_t)0x901fd7ba, (q31_t)0x3e2baa07, (q31_t)0x901cca55,
+ (q31_t)0x3e262bee, (q31_t)0x9019bd36, (q31_t)0x3e20adaf, (q31_t)0x9016b05b, (q31_t)0x3e1b2f4a, (q31_t)0x9013a3c5, (q31_t)0x3e15b0bf, (q31_t)0x90109775,
+ (q31_t)0x3e10320d, (q31_t)0x900d8b69, (q31_t)0x3e0ab336, (q31_t)0x900a7fa3, (q31_t)0x3e053437, (q31_t)0x90077422, (q31_t)0x3dffb513, (q31_t)0x900468e5,
+ (q31_t)0x3dfa35c8, (q31_t)0x90015dee, (q31_t)0x3df4b657, (q31_t)0x8ffe533c, (q31_t)0x3def36c0, (q31_t)0x8ffb48cf, (q31_t)0x3de9b703, (q31_t)0x8ff83ea7,
+ (q31_t)0x3de4371f, (q31_t)0x8ff534c4, (q31_t)0x3ddeb716, (q31_t)0x8ff22b26, (q31_t)0x3dd936e6, (q31_t)0x8fef21ce, (q31_t)0x3dd3b690, (q31_t)0x8fec18ba,
+ (q31_t)0x3dce3614, (q31_t)0x8fe90fec, (q31_t)0x3dc8b571, (q31_t)0x8fe60763, (q31_t)0x3dc334a9, (q31_t)0x8fe2ff1f, (q31_t)0x3dbdb3ba, (q31_t)0x8fdff720,
+ (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3db2b16b, (q31_t)0x8fd9e7f2, (q31_t)0x3dad300b, (q31_t)0x8fd6e0c2, (q31_t)0x3da7ae84, (q31_t)0x8fd3d9d8,
+ (q31_t)0x3da22cd7, (q31_t)0x8fd0d333, (q31_t)0x3d9cab04, (q31_t)0x8fcdccd3, (q31_t)0x3d97290b, (q31_t)0x8fcac6b9, (q31_t)0x3d91a6ed, (q31_t)0x8fc7c0e3,
+ (q31_t)0x3d8c24a8, (q31_t)0x8fc4bb53, (q31_t)0x3d86a23d, (q31_t)0x8fc1b608, (q31_t)0x3d811fac, (q31_t)0x8fbeb103, (q31_t)0x3d7b9cf6, (q31_t)0x8fbbac42,
+ (q31_t)0x3d761a19, (q31_t)0x8fb8a7c7, (q31_t)0x3d709717, (q31_t)0x8fb5a391, (q31_t)0x3d6b13ee, (q31_t)0x8fb29fa0, (q31_t)0x3d6590a0, (q31_t)0x8faf9bf5,
+ (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d5a8992, (q31_t)0x8fa9956e, (q31_t)0x3d5505d2, (q31_t)0x8fa69293, (q31_t)0x3d4f81ec, (q31_t)0x8fa38ffc,
+ (q31_t)0x3d49fde1, (q31_t)0x8fa08dab, (q31_t)0x3d4479b0, (q31_t)0x8f9d8ba0, (q31_t)0x3d3ef559, (q31_t)0x8f9a89da, (q31_t)0x3d3970dc, (q31_t)0x8f978859,
+ (q31_t)0x3d33ec39, (q31_t)0x8f94871d, (q31_t)0x3d2e6771, (q31_t)0x8f918627, (q31_t)0x3d28e282, (q31_t)0x8f8e8576, (q31_t)0x3d235d6f, (q31_t)0x8f8b850a,
+ (q31_t)0x3d1dd835, (q31_t)0x8f8884e4, (q31_t)0x3d1852d6, (q31_t)0x8f858503, (q31_t)0x3d12cd51, (q31_t)0x8f828568, (q31_t)0x3d0d47a6, (q31_t)0x8f7f8612,
+ (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3d023be0, (q31_t)0x8f798836, (q31_t)0x3cfcb5c4, (q31_t)0x8f7689b0, (q31_t)0x3cf72f83, (q31_t)0x8f738b70,
+ (q31_t)0x3cf1a91c, (q31_t)0x8f708d75, (q31_t)0x3cec2290, (q31_t)0x8f6d8fbf, (q31_t)0x3ce69bde, (q31_t)0x8f6a924f, (q31_t)0x3ce11507, (q31_t)0x8f679525,
+ (q31_t)0x3cdb8e09, (q31_t)0x8f649840, (q31_t)0x3cd606e7, (q31_t)0x8f619ba0, (q31_t)0x3cd07f9f, (q31_t)0x8f5e9f46, (q31_t)0x3ccaf831, (q31_t)0x8f5ba331,
+ (q31_t)0x3cc5709e, (q31_t)0x8f58a761, (q31_t)0x3cbfe8e5, (q31_t)0x8f55abd8, (q31_t)0x3cba6107, (q31_t)0x8f52b093, (q31_t)0x3cb4d904, (q31_t)0x8f4fb595,
+ (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, (q31_t)0x3ca9c88c, (q31_t)0x8f49c067, (q31_t)0x3ca44018, (q31_t)0x8f46c639, (q31_t)0x3c9eb77f, (q31_t)0x8f43cc50,
+ (q31_t)0x3c992ec0, (q31_t)0x8f40d2ad, (q31_t)0x3c93a5dc, (q31_t)0x8f3dd950, (q31_t)0x3c8e1cd3, (q31_t)0x8f3ae038, (q31_t)0x3c8893a4, (q31_t)0x8f37e765,
+ (q31_t)0x3c830a50, (q31_t)0x8f34eed8, (q31_t)0x3c7d80d6, (q31_t)0x8f31f691, (q31_t)0x3c77f737, (q31_t)0x8f2efe8f, (q31_t)0x3c726d73, (q31_t)0x8f2c06d3,
+ (q31_t)0x3c6ce38a, (q31_t)0x8f290f5c, (q31_t)0x3c67597b, (q31_t)0x8f26182b, (q31_t)0x3c61cf48, (q31_t)0x8f232140, (q31_t)0x3c5c44ee, (q31_t)0x8f202a9a,
+ (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3c512fcc, (q31_t)0x8f1a3e1f, (q31_t)0x3c4ba504, (q31_t)0x8f17484b, (q31_t)0x3c461a16, (q31_t)0x8f1452bb,
+ (q31_t)0x3c408f03, (q31_t)0x8f115d72, (q31_t)0x3c3b03ca, (q31_t)0x8f0e686e, (q31_t)0x3c35786d, (q31_t)0x8f0b73b0, (q31_t)0x3c2fecea, (q31_t)0x8f087f37,
+ (q31_t)0x3c2a6142, (q31_t)0x8f058b04, (q31_t)0x3c24d575, (q31_t)0x8f029717, (q31_t)0x3c1f4983, (q31_t)0x8effa370, (q31_t)0x3c19bd6c, (q31_t)0x8efcb00e,
+ (q31_t)0x3c143130, (q31_t)0x8ef9bcf2, (q31_t)0x3c0ea4cf, (q31_t)0x8ef6ca1c, (q31_t)0x3c091849, (q31_t)0x8ef3d78b, (q31_t)0x3c038b9e, (q31_t)0x8ef0e540,
+ (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3bf871d8, (q31_t)0x8eeb017c, (q31_t)0x3bf2e4be, (q31_t)0x8ee81002, (q31_t)0x3bed577e, (q31_t)0x8ee51ece,
+ (q31_t)0x3be7ca1a, (q31_t)0x8ee22de0, (q31_t)0x3be23c91, (q31_t)0x8edf3d38, (q31_t)0x3bdcaee3, (q31_t)0x8edc4cd5, (q31_t)0x3bd72110, (q31_t)0x8ed95cb8,
+ (q31_t)0x3bd19318, (q31_t)0x8ed66ce1, (q31_t)0x3bcc04fb, (q31_t)0x8ed37d50, (q31_t)0x3bc676b9, (q31_t)0x8ed08e05, (q31_t)0x3bc0e853, (q31_t)0x8ecd9eff,
+ (q31_t)0x3bbb59c7, (q31_t)0x8ecab040, (q31_t)0x3bb5cb17, (q31_t)0x8ec7c1c6, (q31_t)0x3bb03c42, (q31_t)0x8ec4d392, (q31_t)0x3baaad48, (q31_t)0x8ec1e5a4,
+ (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b9f8ee5, (q31_t)0x8ebc0a99, (q31_t)0x3b99ff7d, (q31_t)0x8eb91d7c, (q31_t)0x3b946ff0, (q31_t)0x8eb630a6,
+ (q31_t)0x3b8ee03e, (q31_t)0x8eb34415, (q31_t)0x3b895068, (q31_t)0x8eb057ca, (q31_t)0x3b83c06c, (q31_t)0x8ead6bc5, (q31_t)0x3b7e304c, (q31_t)0x8eaa8006,
+ (q31_t)0x3b78a007, (q31_t)0x8ea7948c, (q31_t)0x3b730f9e, (q31_t)0x8ea4a959, (q31_t)0x3b6d7f10, (q31_t)0x8ea1be6c, (q31_t)0x3b67ee5d, (q31_t)0x8e9ed3c4,
+ (q31_t)0x3b625d86, (q31_t)0x8e9be963, (q31_t)0x3b5ccc8a, (q31_t)0x8e98ff47, (q31_t)0x3b573b69, (q31_t)0x8e961571, (q31_t)0x3b51aa24, (q31_t)0x8e932be2,
+ (q31_t)0x3b4c18ba, (q31_t)0x8e904298, (q31_t)0x3b46872c, (q31_t)0x8e8d5994, (q31_t)0x3b40f579, (q31_t)0x8e8a70d7, (q31_t)0x3b3b63a1, (q31_t)0x8e87885f,
+ (q31_t)0x3b35d1a5, (q31_t)0x8e84a02d, (q31_t)0x3b303f84, (q31_t)0x8e81b841, (q31_t)0x3b2aad3f, (q31_t)0x8e7ed09b, (q31_t)0x3b251ad6, (q31_t)0x8e7be93c,
+ (q31_t)0x3b1f8848, (q31_t)0x8e790222, (q31_t)0x3b19f595, (q31_t)0x8e761b4e, (q31_t)0x3b1462be, (q31_t)0x8e7334c1, (q31_t)0x3b0ecfc3, (q31_t)0x8e704e79,
+ (q31_t)0x3b093ca3, (q31_t)0x8e6d6877, (q31_t)0x3b03a95e, (q31_t)0x8e6a82bc, (q31_t)0x3afe15f6, (q31_t)0x8e679d47, (q31_t)0x3af88269, (q31_t)0x8e64b817,
+ (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3aed5ae1, (q31_t)0x8e5eee8b, (q31_t)0x3ae7c6e7, (q31_t)0x8e5c0a2e, (q31_t)0x3ae232c9, (q31_t)0x8e592617,
+ (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ad70a1f, (q31_t)0x8e535ebb, (q31_t)0x3ad17593, (q31_t)0x8e507b76, (q31_t)0x3acbe0e3, (q31_t)0x8e4d9878,
+ (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3ac0b717, (q31_t)0x8e47d34d, (q31_t)0x3abb21fb, (q31_t)0x8e44f121, (q31_t)0x3ab58cba, (q31_t)0x8e420f3b,
+ (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b, (q31_t)0x3aaa61cc, (q31_t)0x8e3c4c41, (q31_t)0x3aa4cc1e, (q31_t)0x8e396b2e, (q31_t)0x3a9f364d, (q31_t)0x8e368a61,
+ (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a940a3e, (q31_t)0x8e30c999, (q31_t)0x3a8e7400, (q31_t)0x8e2de99e, (q31_t)0x3a88dd9d, (q31_t)0x8e2b09e9,
+ (q31_t)0x3a834717, (q31_t)0x8e282a7b, (q31_t)0x3a7db06d, (q31_t)0x8e254b53, (q31_t)0x3a78199f, (q31_t)0x8e226c71, (q31_t)0x3a7282ac, (q31_t)0x8e1f8dd6,
+ (q31_t)0x3a6ceb96, (q31_t)0x8e1caf80, (q31_t)0x3a67545b, (q31_t)0x8e19d171, (q31_t)0x3a61bcfd, (q31_t)0x8e16f3a9, (q31_t)0x3a5c257a, (q31_t)0x8e141626,
+ (q31_t)0x3a568dd4, (q31_t)0x8e1138ea, (q31_t)0x3a50f609, (q31_t)0x8e0e5bf4, (q31_t)0x3a4b5e1b, (q31_t)0x8e0b7f44, (q31_t)0x3a45c608, (q31_t)0x8e08a2db,
+ (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x3a3a9577, (q31_t)0x8e02eadb, (q31_t)0x3a34fcf9, (q31_t)0x8e000f44, (q31_t)0x3a2f6457, (q31_t)0x8dfd33f4,
+ (q31_t)0x3a29cb91, (q31_t)0x8dfa58ea, (q31_t)0x3a2432a7, (q31_t)0x8df77e27, (q31_t)0x3a1e9999, (q31_t)0x8df4a3a9, (q31_t)0x3a190068, (q31_t)0x8df1c973,
+ (q31_t)0x3a136712, (q31_t)0x8deeef82, (q31_t)0x3a0dcd99, (q31_t)0x8dec15d8, (q31_t)0x3a0833fc, (q31_t)0x8de93c74, (q31_t)0x3a029a3b, (q31_t)0x8de66357,
+ (q31_t)0x39fd0056, (q31_t)0x8de38a80, (q31_t)0x39f7664e, (q31_t)0x8de0b1ef, (q31_t)0x39f1cc21, (q31_t)0x8dddd9a5, (q31_t)0x39ec31d1, (q31_t)0x8ddb01a1,
+ (q31_t)0x39e6975e, (q31_t)0x8dd829e4, (q31_t)0x39e0fcc6, (q31_t)0x8dd5526d, (q31_t)0x39db620b, (q31_t)0x8dd27b3c, (q31_t)0x39d5c72c, (q31_t)0x8dcfa452,
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+ (q31_t)0x30590dab, (q31_t)0x897b6d4c, (q31_t)0x30533c45, (q31_t)0x89790de2, (q31_t)0x304d6ac1, (q31_t)0x8976aec1, (q31_t)0x30479920, (q31_t)0x89744fe9,
+ (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x303bf584, (q31_t)0x896f9315, (q31_t)0x30362389, (q31_t)0x896d3518, (q31_t)0x30305171, (q31_t)0x896ad765,
+ (q31_t)0x302a7f3a, (q31_t)0x896879fb, (q31_t)0x3024ace6, (q31_t)0x89661cda, (q31_t)0x301eda75, (q31_t)0x8963c002, (q31_t)0x301907e6, (q31_t)0x89616373,
+ (q31_t)0x30133539, (q31_t)0x895f072e, (q31_t)0x300d626e, (q31_t)0x895cab31, (q31_t)0x30078f86, (q31_t)0x895a4f7e, (q31_t)0x3001bc80, (q31_t)0x8957f414,
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+ (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2f24146b, (q31_t)0x88ff3669, (q31_t)0x2f1e3ced, (q31_t)0x88fce62a, (q31_t)0x2f186551, (q31_t)0x88fa9634,
+ (q31_t)0x2f128d99, (q31_t)0x88f84687, (q31_t)0x2f0cb5c3, (q31_t)0x88f5f724, (q31_t)0x2f06ddd1, (q31_t)0x88f3a80b, (q31_t)0x2f0105c1, (q31_t)0x88f1593b,
+ (q31_t)0x2efb2d95, (q31_t)0x88ef0ab4, (q31_t)0x2ef5554b, (q31_t)0x88ecbc77, (q31_t)0x2eef7ce5, (q31_t)0x88ea6e83, (q31_t)0x2ee9a461, (q31_t)0x88e820d9,
+ (q31_t)0x2ee3cbc1, (q31_t)0x88e5d378, (q31_t)0x2eddf304, (q31_t)0x88e38660, (q31_t)0x2ed81a29, (q31_t)0x88e13992, (q31_t)0x2ed24132, (q31_t)0x88deed0e,
+ (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2ec68eed, (q31_t)0x88da54e1, (q31_t)0x2ec0b5a0, (q31_t)0x88d8093a, (q31_t)0x2ebadc35, (q31_t)0x88d5bddb,
+ (q31_t)0x2eb502ae, (q31_t)0x88d372c6, (q31_t)0x2eaf290a, (q31_t)0x88d127fb, (q31_t)0x2ea94f49, (q31_t)0x88cedd79, (q31_t)0x2ea3756b, (q31_t)0x88cc9340,
+ (q31_t)0x2e9d9b70, (q31_t)0x88ca4951, (q31_t)0x2e97c159, (q31_t)0x88c7ffac, (q31_t)0x2e91e725, (q31_t)0x88c5b650, (q31_t)0x2e8c0cd4, (q31_t)0x88c36d3e,
+ (q31_t)0x2e863267, (q31_t)0x88c12475, (q31_t)0x2e8057dd, (q31_t)0x88bedbf6, (q31_t)0x2e7a7d36, (q31_t)0x88bc93c0, (q31_t)0x2e74a272, (q31_t)0x88ba4bd4,
+ (q31_t)0x2e6ec792, (q31_t)0x88b80432, (q31_t)0x2e68ec95, (q31_t)0x88b5bcd9, (q31_t)0x2e63117c, (q31_t)0x88b375ca, (q31_t)0x2e5d3646, (q31_t)0x88b12f04,
+ (q31_t)0x2e575af3, (q31_t)0x88aee888, (q31_t)0x2e517f84, (q31_t)0x88aca255, (q31_t)0x2e4ba3f8, (q31_t)0x88aa5c6c, (q31_t)0x2e45c850, (q31_t)0x88a816cd,
+ (q31_t)0x2e3fec8b, (q31_t)0x88a5d177, (q31_t)0x2e3a10aa, (q31_t)0x88a38c6b, (q31_t)0x2e3434ac, (q31_t)0x88a147a9, (q31_t)0x2e2e5891, (q31_t)0x889f0330,
+ (q31_t)0x2e287c5a, (q31_t)0x889cbf01, (q31_t)0x2e22a007, (q31_t)0x889a7b1b, (q31_t)0x2e1cc397, (q31_t)0x88983780, (q31_t)0x2e16e70b, (q31_t)0x8895f42d,
+ (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2e0b2d9d, (q31_t)0x88916e66, (q31_t)0x2e0550bb, (q31_t)0x888f2bf1, (q31_t)0x2dff73bd, (q31_t)0x888ce9c5,
+ (q31_t)0x2df996a3, (q31_t)0x888aa7e3, (q31_t)0x2df3b96c, (q31_t)0x8888664b, (q31_t)0x2deddc19, (q31_t)0x888624fd, (q31_t)0x2de7feaa, (q31_t)0x8883e3f8,
+ (q31_t)0x2de2211e, (q31_t)0x8881a33d, (q31_t)0x2ddc4376, (q31_t)0x887f62cb, (q31_t)0x2dd665b2, (q31_t)0x887d22a4, (q31_t)0x2dd087d1, (q31_t)0x887ae2c6,
+ (q31_t)0x2dcaa9d5, (q31_t)0x8878a332, (q31_t)0x2dc4cbbc, (q31_t)0x887663e7, (q31_t)0x2dbeed86, (q31_t)0x887424e7, (q31_t)0x2db90f35, (q31_t)0x8871e630,
+ (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2dad523d, (q31_t)0x886d699f, (q31_t)0x2da77397, (q31_t)0x886b2bc5, (q31_t)0x2da194d5, (q31_t)0x8868ee35,
+ (q31_t)0x2d9bb5f6, (q31_t)0x8866b0ef, (q31_t)0x2d95d6fc, (q31_t)0x886473f2, (q31_t)0x2d8ff7e5, (q31_t)0x88623740, (q31_t)0x2d8a18b3, (q31_t)0x885ffad7,
+ (q31_t)0x2d843964, (q31_t)0x885dbeb8, (q31_t)0x2d7e59f9, (q31_t)0x885b82e3, (q31_t)0x2d787a72, (q31_t)0x88594757, (q31_t)0x2d729acf, (q31_t)0x88570c16,
+ (q31_t)0x2d6cbb10, (q31_t)0x8854d11e, (q31_t)0x2d66db35, (q31_t)0x88529670, (q31_t)0x2d60fb3e, (q31_t)0x88505c0b, (q31_t)0x2d5b1b2b, (q31_t)0x884e21f1,
+ (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d4f5ab1, (q31_t)0x8849ae9a, (q31_t)0x2d497a4a, (q31_t)0x8847755d, (q31_t)0x2d4399c7, (q31_t)0x88453c6a,
+ (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d37d86d, (q31_t)0x8840cb61, (q31_t)0x2d31f797, (q31_t)0x883e934c, (q31_t)0x2d2c16a4, (q31_t)0x883c5b81,
+ (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d20546b, (q31_t)0x8837ecc7, (q31_t)0x2d1a7325, (q31_t)0x8835b5d9, (q31_t)0x2d1491c4, (q31_t)0x88337f35,
+ (q31_t)0x2d0eb046, (q31_t)0x883148db, (q31_t)0x2d08ceac, (q31_t)0x882f12cb, (q31_t)0x2d02ecf7, (q31_t)0x882cdd04, (q31_t)0x2cfd0b26, (q31_t)0x882aa788,
+ (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cf14731, (q31_t)0x88263d6d, (q31_t)0x2ceb650d, (q31_t)0x882408ce, (q31_t)0x2ce582cd, (q31_t)0x8821d47a,
+ (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cd9bdfa, (q31_t)0x881d6cae, (q31_t)0x2cd3db67, (q31_t)0x881b3937, (q31_t)0x2ccdf8b8, (q31_t)0x8819060a,
+ (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cc23308, (q31_t)0x8814a08f, (q31_t)0x2cbc5006, (q31_t)0x88126e40, (q31_t)0x2cb66ce9, (q31_t)0x88103c3b,
+ (q31_t)0x2cb089b1, (q31_t)0x880e0a7f, (q31_t)0x2caaa65c, (q31_t)0x880bd90e, (q31_t)0x2ca4c2ed, (q31_t)0x8809a7e7, (q31_t)0x2c9edf61, (q31_t)0x8807770a,
+ (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c9317f8, (q31_t)0x8803162e, (q31_t)0x2c8d341a, (q31_t)0x8800e62f, (q31_t)0x2c875021, (q31_t)0x87feb67a,
+ (q31_t)0x2c816c0c, (q31_t)0x87fc870f, (q31_t)0x2c7b87dc, (q31_t)0x87fa57ee, (q31_t)0x2c75a390, (q31_t)0x87f82917, (q31_t)0x2c6fbf29, (q31_t)0x87f5fa8b,
+ (q31_t)0x2c69daa6, (q31_t)0x87f3cc48, (q31_t)0x2c63f609, (q31_t)0x87f19e4f, (q31_t)0x2c5e114f, (q31_t)0x87ef70a0, (q31_t)0x2c582c7b, (q31_t)0x87ed433c,
+ (q31_t)0x2c52478a, (q31_t)0x87eb1621, (q31_t)0x2c4c627f, (q31_t)0x87e8e950, (q31_t)0x2c467d58, (q31_t)0x87e6bcca, (q31_t)0x2c409816, (q31_t)0x87e4908e,
+ (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c34cd40, (q31_t)0x87e038f3, (q31_t)0x2c2ee7ad, (q31_t)0x87de0d95, (q31_t)0x2c2901fd, (q31_t)0x87dbe281,
+ (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c1d364e, (q31_t)0x87d78d38, (q31_t)0x2c17504d, (q31_t)0x87d56302, (q31_t)0x2c116a31, (q31_t)0x87d33916,
+ (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2c059da7, (q31_t)0x87cee61e, (q31_t)0x2bffb73a, (q31_t)0x87ccbd11, (q31_t)0x2bf9d0b1, (q31_t)0x87ca944e,
+ (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5, (q31_t)0x2bee034e, (q31_t)0x87c643a6, (q31_t)0x2be81c74, (q31_t)0x87c41bc2, (q31_t)0x2be2357f, (q31_t)0x87c1f427,
+ (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bd66744, (q31_t)0x87bda5d1, (q31_t)0x2bd07ffe, (q31_t)0x87bb7f16, (q31_t)0x2bca989d, (q31_t)0x87b958a4,
+ (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bbec989, (q31_t)0x87b50c9f, (q31_t)0x2bb8e1d7, (q31_t)0x87b2e70c, (q31_t)0x2bb2fa0a, (q31_t)0x87b0c1c4,
+ (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2ba72a1e, (q31_t)0x87ac7811, (q31_t)0x2ba14200, (q31_t)0x87aa53a6, (q31_t)0x2b9b59c7, (q31_t)0x87a82f87,
+ (q31_t)0x2b957173, (q31_t)0x87a60bb1, (q31_t)0x2b8f8905, (q31_t)0x87a3e825, (q31_t)0x2b89a07b, (q31_t)0x87a1c4e4, (q31_t)0x2b83b7d7, (q31_t)0x879fa1ed,
+ (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b77e63d, (q31_t)0x879b5cde, (q31_t)0x2b71fd48, (q31_t)0x87993ac6, (q31_t)0x2b6c1438, (q31_t)0x879718f8,
+ (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b6041c9, (q31_t)0x8792d63b, (q31_t)0x2b5a5868, (q31_t)0x8790b54c, (q31_t)0x2b546eee, (q31_t)0x878e94a7,
+ (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b489ba8, (q31_t)0x878a543d, (q31_t)0x2b42b1dd, (q31_t)0x87883477, (q31_t)0x2b3cc7f7, (q31_t)0x878614fb,
+ (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca, (q31_t)0x2b30f3dc, (q31_t)0x8781d6e3, (q31_t)0x2b2b09a6, (q31_t)0x877fb846, (q31_t)0x2b251f56, (q31_t)0x877d99f4,
+ (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2b194a66, (q31_t)0x87795e2f, (q31_t)0x2b135fc6, (q31_t)0x877740bb, (q31_t)0x2b0d750b, (q31_t)0x87752392,
+ (q31_t)0x2b078a36, (q31_t)0x877306b4, (q31_t)0x2b019f46, (q31_t)0x8770ea20, (q31_t)0x2afbb43c, (q31_t)0x876ecdd6, (q31_t)0x2af5c917, (q31_t)0x876cb1d6,
+ (q31_t)0x2aefddd8, (q31_t)0x876a9621, (q31_t)0x2ae9f27e, (q31_t)0x87687ab7, (q31_t)0x2ae4070a, (q31_t)0x87665f96, (q31_t)0x2ade1b7c, (q31_t)0x876444c1,
+ (q31_t)0x2ad82fd2, (q31_t)0x87622a35, (q31_t)0x2ad2440f, (q31_t)0x87600ff4, (q31_t)0x2acc5831, (q31_t)0x875df5fd, (q31_t)0x2ac66c39, (q31_t)0x875bdc51,
+ (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aba93f9, (q31_t)0x8757a9d8, (q31_t)0x2ab4a7b1, (q31_t)0x8755910b, (q31_t)0x2aaebb50, (q31_t)0x87537888,
+ (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2aa2e23d, (q31_t)0x874f4862, (q31_t)0x2a9cf58c, (q31_t)0x874d30bf, (q31_t)0x2a9708c1, (q31_t)0x874b1966,
+ (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a8b2edc, (q31_t)0x8746eb94, (q31_t)0x2a8541c3, (q31_t)0x8744d51b, (q31_t)0x2a7f548e, (q31_t)0x8742beec,
+ (q31_t)0x2a796740, (q31_t)0x8740a907, (q31_t)0x2a7379d8, (q31_t)0x873e936d, (q31_t)0x2a6d8c55, (q31_t)0x873c7e1e, (q31_t)0x2a679eb8, (q31_t)0x873a6919,
+ (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a5bc330, (q31_t)0x87363fee, (q31_t)0x2a55d545, (q31_t)0x87342bc9, (q31_t)0x2a4fe740, (q31_t)0x873217ee,
+ (q31_t)0x2a49f920, (q31_t)0x8730045d, (q31_t)0x2a440ae7, (q31_t)0x872df117, (q31_t)0x2a3e1c93, (q31_t)0x872bde1c, (q31_t)0x2a382e25, (q31_t)0x8729cb6b,
+ (q31_t)0x2a323f9e, (q31_t)0x8727b905, (q31_t)0x2a2c50fc, (q31_t)0x8725a6e9, (q31_t)0x2a266240, (q31_t)0x87239518, (q31_t)0x2a20736a, (q31_t)0x87218391,
+ (q31_t)0x2a1a847b, (q31_t)0x871f7255, (q31_t)0x2a149571, (q31_t)0x871d6163, (q31_t)0x2a0ea64d, (q31_t)0x871b50bc, (q31_t)0x2a08b710, (q31_t)0x87194060,
+ (q31_t)0x2a02c7b8, (q31_t)0x8717304e, (q31_t)0x29fcd847, (q31_t)0x87152087, (q31_t)0x29f6e8bb, (q31_t)0x8713110a, (q31_t)0x29f0f916, (q31_t)0x871101d8,
+ (q31_t)0x29eb0957, (q31_t)0x870ef2f1, (q31_t)0x29e5197e, (q31_t)0x870ce454, (q31_t)0x29df298b, (q31_t)0x870ad602, (q31_t)0x29d9397f, (q31_t)0x8708c7fa,
+ (q31_t)0x29d34958, (q31_t)0x8706ba3d, (q31_t)0x29cd5918, (q31_t)0x8704acca, (q31_t)0x29c768be, (q31_t)0x87029fa3, (q31_t)0x29c1784a, (q31_t)0x870092c5,
+ (q31_t)0x29bb87bc, (q31_t)0x86fe8633, (q31_t)0x29b59715, (q31_t)0x86fc79eb, (q31_t)0x29afa654, (q31_t)0x86fa6dee, (q31_t)0x29a9b579, (q31_t)0x86f8623b,
+ (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x299dd377, (q31_t)0x86f44bb6, (q31_t)0x2997e24f, (q31_t)0x86f240e3, (q31_t)0x2991f10e, (q31_t)0x86f0365c,
+ (q31_t)0x298bffb2, (q31_t)0x86ee2c1e, (q31_t)0x29860e3e, (q31_t)0x86ec222c, (q31_t)0x29801caf, (q31_t)0x86ea1884, (q31_t)0x297a2b07, (q31_t)0x86e80f27,
+ (q31_t)0x29743946, (q31_t)0x86e60614, (q31_t)0x296e476b, (q31_t)0x86e3fd4c, (q31_t)0x29685576, (q31_t)0x86e1f4cf, (q31_t)0x29626368, (q31_t)0x86dfec9d,
+ (q31_t)0x295c7140, (q31_t)0x86dde4b5, (q31_t)0x29567eff, (q31_t)0x86dbdd18, (q31_t)0x29508ca4, (q31_t)0x86d9d5c6, (q31_t)0x294a9a30, (q31_t)0x86d7cebf,
+ (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x293eb4fb, (q31_t)0x86d3c190, (q31_t)0x2938c23a, (q31_t)0x86d1bb69, (q31_t)0x2932cf60, (q31_t)0x86cfb58c,
+ (q31_t)0x292cdc6d, (q31_t)0x86cdaffa, (q31_t)0x2926e960, (q31_t)0x86cbaab3, (q31_t)0x2920f63a, (q31_t)0x86c9a5b7, (q31_t)0x291b02fa, (q31_t)0x86c7a106,
+ (q31_t)0x29150fa1, (q31_t)0x86c59c9f, (q31_t)0x290f1c2f, (q31_t)0x86c39883, (q31_t)0x290928a3, (q31_t)0x86c194b2, (q31_t)0x290334ff, (q31_t)0x86bf912c,
+ (q31_t)0x28fd4140, (q31_t)0x86bd8df0, (q31_t)0x28f74d69, (q31_t)0x86bb8b00, (q31_t)0x28f15978, (q31_t)0x86b9885a, (q31_t)0x28eb656e, (q31_t)0x86b785ff,
+ (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x28df7d0e, (q31_t)0x86b38229, (q31_t)0x28d988b8, (q31_t)0x86b180ae, (q31_t)0x28d3944a, (q31_t)0x86af7f7e,
+ (q31_t)0x28cd9fc1, (q31_t)0x86ad7e99, (q31_t)0x28c7ab20, (q31_t)0x86ab7dff, (q31_t)0x28c1b666, (q31_t)0x86a97db0, (q31_t)0x28bbc192, (q31_t)0x86a77dab,
+ (q31_t)0x28b5cca5, (q31_t)0x86a57df2, (q31_t)0x28afd7a0, (q31_t)0x86a37e83, (q31_t)0x28a9e281, (q31_t)0x86a17f5f, (q31_t)0x28a3ed49, (q31_t)0x869f8086,
+ (q31_t)0x289df7f8, (q31_t)0x869d81f8, (q31_t)0x2898028e, (q31_t)0x869b83b4, (q31_t)0x28920d0a, (q31_t)0x869985bc, (q31_t)0x288c176e, (q31_t)0x8697880f,
+ (q31_t)0x288621b9, (q31_t)0x86958aac, (q31_t)0x28802beb, (q31_t)0x86938d94, (q31_t)0x287a3604, (q31_t)0x869190c7, (q31_t)0x28744004, (q31_t)0x868f9445,
+ (q31_t)0x286e49ea, (q31_t)0x868d980e, (q31_t)0x286853b8, (q31_t)0x868b9c22, (q31_t)0x28625d6d, (q31_t)0x8689a081, (q31_t)0x285c670a, (q31_t)0x8687a52b,
+ (q31_t)0x2856708d, (q31_t)0x8685aa20, (q31_t)0x285079f7, (q31_t)0x8683af5f, (q31_t)0x284a8349, (q31_t)0x8681b4ea, (q31_t)0x28448c81, (q31_t)0x867fbabf,
+ (q31_t)0x283e95a1, (q31_t)0x867dc0e0, (q31_t)0x28389ea8, (q31_t)0x867bc74b, (q31_t)0x2832a796, (q31_t)0x8679ce01, (q31_t)0x282cb06c, (q31_t)0x8677d503,
+ (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x2820c1cc, (q31_t)0x8673e3e6, (q31_t)0x281aca57, (q31_t)0x8671ebc8, (q31_t)0x2814d2c9, (q31_t)0x866ff3f6,
+ (q31_t)0x280edb23, (q31_t)0x866dfc6e, (q31_t)0x2808e364, (q31_t)0x866c0531, (q31_t)0x2802eb8c, (q31_t)0x866a0e3f, (q31_t)0x27fcf39c, (q31_t)0x86681798,
+ (q31_t)0x27f6fb92, (q31_t)0x8666213c, (q31_t)0x27f10371, (q31_t)0x86642b2c, (q31_t)0x27eb0b36, (q31_t)0x86623566, (q31_t)0x27e512e3, (q31_t)0x86603feb,
+ (q31_t)0x27df1a77, (q31_t)0x865e4abb, (q31_t)0x27d921f3, (q31_t)0x865c55d7, (q31_t)0x27d32956, (q31_t)0x865a613d, (q31_t)0x27cd30a1, (q31_t)0x86586cee,
+ (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27c13eec, (q31_t)0x86548532, (q31_t)0x27bb45ed, (q31_t)0x865291c4, (q31_t)0x27b54cd6, (q31_t)0x86509ea2,
+ (q31_t)0x27af53a6, (q31_t)0x864eabcb, (q31_t)0x27a95a5d, (q31_t)0x864cb93e, (q31_t)0x27a360fc, (q31_t)0x864ac6fd, (q31_t)0x279d6783, (q31_t)0x8648d507,
+ (q31_t)0x27976df1, (q31_t)0x8646e35c, (q31_t)0x27917447, (q31_t)0x8644f1fc, (q31_t)0x278b7a84, (q31_t)0x864300e7, (q31_t)0x278580a9, (q31_t)0x8641101d,
+ (q31_t)0x277f86b5, (q31_t)0x863f1f9e, (q31_t)0x27798caa, (q31_t)0x863d2f6b, (q31_t)0x27739285, (q31_t)0x863b3f82, (q31_t)0x276d9849, (q31_t)0x86394fe5,
+ (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2761a387, (q31_t)0x8635718b, (q31_t)0x275ba901, (q31_t)0x863382cf, (q31_t)0x2755ae64, (q31_t)0x8631945e,
+ (q31_t)0x274fb3ae, (q31_t)0x862fa638, (q31_t)0x2749b8e0, (q31_t)0x862db85e, (q31_t)0x2743bdf9, (q31_t)0x862bcace, (q31_t)0x273dc2fa, (q31_t)0x8629dd8a,
+ (q31_t)0x2737c7e3, (q31_t)0x8627f091, (q31_t)0x2731ccb4, (q31_t)0x862603e3, (q31_t)0x272bd16d, (q31_t)0x86241780, (q31_t)0x2725d60e, (q31_t)0x86222b68,
+ (q31_t)0x271fda96, (q31_t)0x86203f9c, (q31_t)0x2719df06, (q31_t)0x861e541a, (q31_t)0x2713e35f, (q31_t)0x861c68e4, (q31_t)0x270de79f, (q31_t)0x861a7df9,
+ (q31_t)0x2707ebc7, (q31_t)0x86189359, (q31_t)0x2701efd7, (q31_t)0x8616a905, (q31_t)0x26fbf3ce, (q31_t)0x8614befb, (q31_t)0x26f5f7ae, (q31_t)0x8612d53d,
+ (q31_t)0x26effb76, (q31_t)0x8610ebca, (q31_t)0x26e9ff26, (q31_t)0x860f02a3, (q31_t)0x26e402bd, (q31_t)0x860d19c6, (q31_t)0x26de063d, (q31_t)0x860b3135,
+ (q31_t)0x26d809a5, (q31_t)0x860948ef, (q31_t)0x26d20cf5, (q31_t)0x860760f4, (q31_t)0x26cc102d, (q31_t)0x86057944, (q31_t)0x26c6134d, (q31_t)0x860391e0,
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+ (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x20381b63, (q31_t)0x841f0f65, (q31_t)0x203206a4, (q31_t)0x841d7aaa, (q31_t)0x202bf1d2, (q31_t)0x841be63c,
+ (q31_t)0x2025dcec, (q31_t)0x841a521a, (q31_t)0x201fc7f2, (q31_t)0x8418be45, (q31_t)0x2019b2e4, (q31_t)0x84172abc, (q31_t)0x20139dc2, (q31_t)0x84159780,
+ (q31_t)0x200d888d, (q31_t)0x84140490, (q31_t)0x20077344, (q31_t)0x841271ec, (q31_t)0x20015de7, (q31_t)0x8410df95, (q31_t)0x1ffb4876, (q31_t)0x840f4d8a,
+ (q31_t)0x1ff532f2, (q31_t)0x840dbbcc, (q31_t)0x1fef1d59, (q31_t)0x840c2a5a, (q31_t)0x1fe907ae, (q31_t)0x840a9935, (q31_t)0x1fe2f1ee, (q31_t)0x8409085c,
+ (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1fd6c634, (q31_t)0x8405e790, (q31_t)0x1fd0b03a, (q31_t)0x8404579d, (q31_t)0x1fca9a2b, (q31_t)0x8402c7f6,
+ (q31_t)0x1fc4840a, (q31_t)0x8401389b, (q31_t)0x1fbe6dd4, (q31_t)0x83ffa98d, (q31_t)0x1fb8578b, (q31_t)0x83fe1acc, (q31_t)0x1fb2412f, (q31_t)0x83fc8c57,
+ (q31_t)0x1fac2abf, (q31_t)0x83fafe2e, (q31_t)0x1fa6143b, (q31_t)0x83f97052, (q31_t)0x1f9ffda4, (q31_t)0x83f7e2c3, (q31_t)0x1f99e6fa, (q31_t)0x83f65580,
+ (q31_t)0x1f93d03c, (q31_t)0x83f4c889, (q31_t)0x1f8db96a, (q31_t)0x83f33bdf, (q31_t)0x1f87a285, (q31_t)0x83f1af82, (q31_t)0x1f818b8d, (q31_t)0x83f02371,
+ (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, (q31_t)0x1f755d61, (q31_t)0x83ed0c35, (q31_t)0x1f6f462f, (q31_t)0x83eb810a, (q31_t)0x1f692ee9, (q31_t)0x83e9f62b,
+ (q31_t)0x1f63178f, (q31_t)0x83e86b99, (q31_t)0x1f5d0022, (q31_t)0x83e6e153, (q31_t)0x1f56e8a2, (q31_t)0x83e5575a, (q31_t)0x1f50d10e, (q31_t)0x83e3cdad,
+ (q31_t)0x1f4ab968, (q31_t)0x83e2444d, (q31_t)0x1f44a1ad, (q31_t)0x83e0bb3a, (q31_t)0x1f3e89e0, (q31_t)0x83df3273, (q31_t)0x1f3871ff, (q31_t)0x83dda9f9,
+ (q31_t)0x1f325a0b, (q31_t)0x83dc21cb, (q31_t)0x1f2c4204, (q31_t)0x83da99ea, (q31_t)0x1f2629ea, (q31_t)0x83d91255, (q31_t)0x1f2011bc, (q31_t)0x83d78b0d,
+ (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1f13e127, (q31_t)0x83d47d63, (q31_t)0x1f0dc8c0, (q31_t)0x83d2f701, (q31_t)0x1f07b045, (q31_t)0x83d170eb,
+ (q31_t)0x1f0197b8, (q31_t)0x83cfeb22, (q31_t)0x1efb7f17, (q31_t)0x83ce65a6, (q31_t)0x1ef56664, (q31_t)0x83cce076, (q31_t)0x1eef4d9d, (q31_t)0x83cb5b93,
+ (q31_t)0x1ee934c3, (q31_t)0x83c9d6fc, (q31_t)0x1ee31bd6, (q31_t)0x83c852b2, (q31_t)0x1edd02d6, (q31_t)0x83c6ceb5, (q31_t)0x1ed6e9c3, (q31_t)0x83c54b04,
+ (q31_t)0x1ed0d09d, (q31_t)0x83c3c7a0, (q31_t)0x1ecab763, (q31_t)0x83c24488, (q31_t)0x1ec49e17, (q31_t)0x83c0c1be, (q31_t)0x1ebe84b8, (q31_t)0x83bf3f3f,
+ (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1eb251c1, (q31_t)0x83bc3b29, (q31_t)0x1eac3829, (q31_t)0x83bab991, (q31_t)0x1ea61e7e, (q31_t)0x83b93845,
+ (q31_t)0x1ea004c1, (q31_t)0x83b7b746, (q31_t)0x1e99eaf0, (q31_t)0x83b63694, (q31_t)0x1e93d10c, (q31_t)0x83b4b62e, (q31_t)0x1e8db716, (q31_t)0x83b33616,
+ (q31_t)0x1e879d0d, (q31_t)0x83b1b649, (q31_t)0x1e8182f1, (q31_t)0x83b036ca, (q31_t)0x1e7b68c2, (q31_t)0x83aeb797, (q31_t)0x1e754e80, (q31_t)0x83ad38b1,
+ (q31_t)0x1e6f342c, (q31_t)0x83abba17, (q31_t)0x1e6919c4, (q31_t)0x83aa3bca, (q31_t)0x1e62ff4a, (q31_t)0x83a8bdca, (q31_t)0x1e5ce4be, (q31_t)0x83a74017,
+ (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1e50af6c, (q31_t)0x83a44596, (q31_t)0x1e4a94a7, (q31_t)0x83a2c8c9, (q31_t)0x1e4479cf, (q31_t)0x83a14c48,
+ (q31_t)0x1e3e5ee5, (q31_t)0x839fd014, (q31_t)0x1e3843e8, (q31_t)0x839e542d, (q31_t)0x1e3228d9, (q31_t)0x839cd893, (q31_t)0x1e2c0db6, (q31_t)0x839b5d45,
+ (q31_t)0x1e25f282, (q31_t)0x8399e244, (q31_t)0x1e1fd73a, (q31_t)0x83986790, (q31_t)0x1e19bbe0, (q31_t)0x8396ed29, (q31_t)0x1e13a074, (q31_t)0x8395730e,
+ (q31_t)0x1e0d84f5, (q31_t)0x8393f940, (q31_t)0x1e076963, (q31_t)0x83927fbf, (q31_t)0x1e014dbf, (q31_t)0x8391068a, (q31_t)0x1dfb3208, (q31_t)0x838f8da2,
+ (q31_t)0x1df5163f, (q31_t)0x838e1507, (q31_t)0x1deefa63, (q31_t)0x838c9cb9, (q31_t)0x1de8de75, (q31_t)0x838b24b8, (q31_t)0x1de2c275, (q31_t)0x8389ad03,
+ (q31_t)0x1ddca662, (q31_t)0x8388359b, (q31_t)0x1dd68a3c, (q31_t)0x8386be80, (q31_t)0x1dd06e04, (q31_t)0x838547b2, (q31_t)0x1dca51ba, (q31_t)0x8383d130,
+ (q31_t)0x1dc4355e, (q31_t)0x83825afb, (q31_t)0x1dbe18ef, (q31_t)0x8380e513, (q31_t)0x1db7fc6d, (q31_t)0x837f6f78, (q31_t)0x1db1dfda, (q31_t)0x837dfa2a,
+ (q31_t)0x1dabc334, (q31_t)0x837c8528, (q31_t)0x1da5a67c, (q31_t)0x837b1074, (q31_t)0x1d9f89b1, (q31_t)0x83799c0c, (q31_t)0x1d996cd4, (q31_t)0x837827f0,
+ (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d8d32e4, (q31_t)0x837540a1, (q31_t)0x1d8715d0, (q31_t)0x8373cd6c, (q31_t)0x1d80f8ab, (q31_t)0x83725a84,
+ (q31_t)0x1d7adb73, (q31_t)0x8370e7e9, (q31_t)0x1d74be29, (q31_t)0x836f759b, (q31_t)0x1d6ea0cc, (q31_t)0x836e039a, (q31_t)0x1d68835e, (q31_t)0x836c91e5,
+ (q31_t)0x1d6265dd, (q31_t)0x836b207d, (q31_t)0x1d5c484b, (q31_t)0x8369af63, (q31_t)0x1d562aa6, (q31_t)0x83683e95, (q31_t)0x1d500cef, (q31_t)0x8366ce14,
+ (q31_t)0x1d49ef26, (q31_t)0x83655ddf, (q31_t)0x1d43d14b, (q31_t)0x8363edf8, (q31_t)0x1d3db35e, (q31_t)0x83627e5d, (q31_t)0x1d37955e, (q31_t)0x83610f10,
+ (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1d2b592a, (q31_t)0x835e315b, (q31_t)0x1d253af5, (q31_t)0x835cc2f4, (q31_t)0x1d1f1cae, (q31_t)0x835b54da,
+ (q31_t)0x1d18fe54, (q31_t)0x8359e70d, (q31_t)0x1d12dfe9, (q31_t)0x8358798c, (q31_t)0x1d0cc16c, (q31_t)0x83570c59, (q31_t)0x1d06a2dd, (q31_t)0x83559f72,
+ (q31_t)0x1d00843d, (q31_t)0x835432d8, (q31_t)0x1cfa658a, (q31_t)0x8352c68c, (q31_t)0x1cf446c5, (q31_t)0x83515a8c, (q31_t)0x1cee27ef, (q31_t)0x834feed9,
+ (q31_t)0x1ce80906, (q31_t)0x834e8373, (q31_t)0x1ce1ea0c, (q31_t)0x834d185a, (q31_t)0x1cdbcb00, (q31_t)0x834bad8e, (q31_t)0x1cd5abe3, (q31_t)0x834a430e,
+ (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cc96d72, (q31_t)0x83476ef6, (q31_t)0x1cc34e1f, (q31_t)0x8346055e, (q31_t)0x1cbd2eba, (q31_t)0x83449c12,
+ (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1cb0efbb, (q31_t)0x8341ca62, (q31_t)0x1caad021, (q31_t)0x834061fd, (q31_t)0x1ca4b075, (q31_t)0x833ef9e6,
+ (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c9870e9, (q31_t)0x833c2a9d, (q31_t)0x1c925109, (q31_t)0x833ac36c, (q31_t)0x1c8c3116, (q31_t)0x83395c88,
+ (q31_t)0x1c861113, (q31_t)0x8337f5f1, (q31_t)0x1c7ff0fd, (q31_t)0x83368fa7, (q31_t)0x1c79d0d6, (q31_t)0x833529aa, (q31_t)0x1c73b09d, (q31_t)0x8333c3fa,
+ (q31_t)0x1c6d9053, (q31_t)0x83325e97, (q31_t)0x1c676ff8, (q31_t)0x8330f981, (q31_t)0x1c614f8b, (q31_t)0x832f94b8, (q31_t)0x1c5b2f0c, (q31_t)0x832e303c,
+ (q31_t)0x1c550e7c, (q31_t)0x832ccc0d, (q31_t)0x1c4eedda, (q31_t)0x832b682b, (q31_t)0x1c48cd27, (q31_t)0x832a0496, (q31_t)0x1c42ac62, (q31_t)0x8328a14d,
+ (q31_t)0x1c3c8b8c, (q31_t)0x83273e52, (q31_t)0x1c366aa5, (q31_t)0x8325dba4, (q31_t)0x1c3049ac, (q31_t)0x83247943, (q31_t)0x1c2a28a2, (q31_t)0x8323172f,
+ (q31_t)0x1c240786, (q31_t)0x8321b568, (q31_t)0x1c1de659, (q31_t)0x832053ee, (q31_t)0x1c17c51b, (q31_t)0x831ef2c1, (q31_t)0x1c11a3cb, (q31_t)0x831d91e1,
+ (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1c0560f8, (q31_t)0x831ad109, (q31_t)0x1bff3f75, (q31_t)0x83197110, (q31_t)0x1bf91de0, (q31_t)0x83181164,
+ (q31_t)0x1bf2fc3a, (q31_t)0x8316b205, (q31_t)0x1becda83, (q31_t)0x831552f4, (q31_t)0x1be6b8ba, (q31_t)0x8313f42f, (q31_t)0x1be096e0, (q31_t)0x831295b7,
+ (q31_t)0x1bda74f6, (q31_t)0x8311378d, (q31_t)0x1bd452f9, (q31_t)0x830fd9af, (q31_t)0x1bce30ec, (q31_t)0x830e7c1f, (q31_t)0x1bc80ece, (q31_t)0x830d1edc,
+ (q31_t)0x1bc1ec9e, (q31_t)0x830bc1e6, (q31_t)0x1bbbca5e, (q31_t)0x830a653c, (q31_t)0x1bb5a80c, (q31_t)0x830908e0, (q31_t)0x1baf85a9, (q31_t)0x8307acd1,
+ (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1ba340b0, (q31_t)0x8304f59b, (q31_t)0x1b9d1e1a, (q31_t)0x83039a73, (q31_t)0x1b96fb73, (q31_t)0x83023f98,
+ (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b8ab5f2, (q31_t)0x82ff8acb, (q31_t)0x1b849317, (q31_t)0x82fe30d7, (q31_t)0x1b7e702c, (q31_t)0x82fcd731,
+ (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b722a23, (q31_t)0x82fa24cc, (q31_t)0x1b6c0705, (q31_t)0x82f8cc0d, (q31_t)0x1b65e3d7, (q31_t)0x82f7739c,
+ (q31_t)0x1b5fc097, (q31_t)0x82f61b77, (q31_t)0x1b599d46, (q31_t)0x82f4c3a0, (q31_t)0x1b5379e5, (q31_t)0x82f36c15, (q31_t)0x1b4d5672, (q31_t)0x82f214d8,
+ (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1b410f5b, (q31_t)0x82ef6745, (q31_t)0x1b3aebb6, (q31_t)0x82ee10ef, (q31_t)0x1b34c801, (q31_t)0x82ecbae7,
+ (q31_t)0x1b2ea43a, (q31_t)0x82eb652b, (q31_t)0x1b288063, (q31_t)0x82ea0fbd, (q31_t)0x1b225c7b, (q31_t)0x82e8ba9c, (q31_t)0x1b1c3883, (q31_t)0x82e765c8,
+ (q31_t)0x1b161479, (q31_t)0x82e61141, (q31_t)0x1b0ff05f, (q31_t)0x82e4bd07, (q31_t)0x1b09cc34, (q31_t)0x82e3691b, (q31_t)0x1b03a7f9, (q31_t)0x82e2157c,
+ (q31_t)0x1afd83ad, (q31_t)0x82e0c22a, (q31_t)0x1af75f50, (q31_t)0x82df6f25, (q31_t)0x1af13ae3, (q31_t)0x82de1c6d, (q31_t)0x1aeb1665, (q31_t)0x82dcca02,
+ (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, (q31_t)0x1adecd37, (q31_t)0x82da2615, (q31_t)0x1ad8a887, (q31_t)0x82d8d492, (q31_t)0x1ad283c7, (q31_t)0x82d7835c,
+ (q31_t)0x1acc5ef6, (q31_t)0x82d63274, (q31_t)0x1ac63a14, (q31_t)0x82d4e1d8, (q31_t)0x1ac01522, (q31_t)0x82d3918a, (q31_t)0x1ab9f020, (q31_t)0x82d24189,
+ (q31_t)0x1ab3cb0d, (q31_t)0x82d0f1d5, (q31_t)0x1aada5e9, (q31_t)0x82cfa26f, (q31_t)0x1aa780b6, (q31_t)0x82ce5356, (q31_t)0x1aa15b71, (q31_t)0x82cd048a,
+ (q31_t)0x1a9b361d, (q31_t)0x82cbb60b, (q31_t)0x1a9510b7, (q31_t)0x82ca67d9, (q31_t)0x1a8eeb42, (q31_t)0x82c919f5, (q31_t)0x1a88c5bc, (q31_t)0x82c7cc5e,
+ (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a7c7a7f, (q31_t)0x82c53217, (q31_t)0x1a7654c8, (q31_t)0x82c3e568, (q31_t)0x1a702f01, (q31_t)0x82c29906,
+ (q31_t)0x1a6a0929, (q31_t)0x82c14cf1, (q31_t)0x1a63e341, (q31_t)0x82c00129, (q31_t)0x1a5dbd49, (q31_t)0x82beb5af, (q31_t)0x1a579741, (q31_t)0x82bd6a82,
+ (q31_t)0x1a517128, (q31_t)0x82bc1fa2, (q31_t)0x1a4b4aff, (q31_t)0x82bad50f, (q31_t)0x1a4524c6, (q31_t)0x82b98aca, (q31_t)0x1a3efe7c, (q31_t)0x82b840d2,
+ (q31_t)0x1a38d823, (q31_t)0x82b6f727, (q31_t)0x1a32b1b9, (q31_t)0x82b5adca, (q31_t)0x1a2c8b3f, (q31_t)0x82b464ba, (q31_t)0x1a2664b5, (q31_t)0x82b31bf7,
+ (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x1a1a1771, (q31_t)0x82b08b59, (q31_t)0x1a13f0b6, (q31_t)0x82af437e, (q31_t)0x1a0dc9ec, (q31_t)0x82adfbf0,
+ (q31_t)0x1a07a311, (q31_t)0x82acb4b0, (q31_t)0x1a017c27, (q31_t)0x82ab6dbd, (q31_t)0x19fb552c, (q31_t)0x82aa2717, (q31_t)0x19f52e22, (q31_t)0x82a8e0bf,
+ (q31_t)0x19ef0707, (q31_t)0x82a79ab3, (q31_t)0x19e8dfdc, (q31_t)0x82a654f6, (q31_t)0x19e2b8a2, (q31_t)0x82a50f85, (q31_t)0x19dc9157, (q31_t)0x82a3ca62,
+ (q31_t)0x19d669fc, (q31_t)0x82a2858c, (q31_t)0x19d04292, (q31_t)0x82a14104, (q31_t)0x19ca1b17, (q31_t)0x829ffcc8, (q31_t)0x19c3f38d, (q31_t)0x829eb8db,
+ (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19b7a449, (q31_t)0x829c31e7, (q31_t)0x19b17c8f, (q31_t)0x829aeee1, (q31_t)0x19ab54c5, (q31_t)0x8299ac29,
+ (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x199f0502, (q31_t)0x829727a0, (q31_t)0x1998dd09, (q31_t)0x8295e5cf, (q31_t)0x1992b4ff, (q31_t)0x8294a44c,
+ (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x198664be, (q31_t)0x8292222e, (q31_t)0x19803c86, (q31_t)0x8290e194, (q31_t)0x197a143e, (q31_t)0x828fa146,
+ (q31_t)0x1973ebe6, (q31_t)0x828e6146, (q31_t)0x196dc37e, (q31_t)0x828d2193, (q31_t)0x19679b07, (q31_t)0x828be22e, (q31_t)0x19617280, (q31_t)0x828aa316,
+ (q31_t)0x195b49ea, (q31_t)0x8289644b, (q31_t)0x19552144, (q31_t)0x828825ce, (q31_t)0x194ef88e, (q31_t)0x8286e79e, (q31_t)0x1948cfc8, (q31_t)0x8285a9bb,
+ (q31_t)0x1942a6f3, (q31_t)0x82846c26, (q31_t)0x193c7e0f, (q31_t)0x82832edf, (q31_t)0x1936551b, (q31_t)0x8281f1e4, (q31_t)0x19302c17, (q31_t)0x8280b538,
+ (q31_t)0x192a0304, (q31_t)0x827f78d8, (q31_t)0x1923d9e1, (q31_t)0x827e3cc6, (q31_t)0x191db0af, (q31_t)0x827d0102, (q31_t)0x1917876d, (q31_t)0x827bc58a,
+ (q31_t)0x19115e1c, (q31_t)0x827a8a61, (q31_t)0x190b34bb, (q31_t)0x82794f84, (q31_t)0x19050b4b, (q31_t)0x827814f6, (q31_t)0x18fee1cb, (q31_t)0x8276dab4,
+ (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18f28e9e, (q31_t)0x8274671a, (q31_t)0x18ec64f0, (q31_t)0x82732dc0, (q31_t)0x18e63b33, (q31_t)0x8271f4b5,
+ (q31_t)0x18e01167, (q31_t)0x8270bbf7, (q31_t)0x18d9e78b, (q31_t)0x826f8386, (q31_t)0x18d3bda0, (q31_t)0x826e4b62, (q31_t)0x18cd93a5, (q31_t)0x826d138d,
+ (q31_t)0x18c7699b, (q31_t)0x826bdc04, (q31_t)0x18c13f82, (q31_t)0x826aa4c9, (q31_t)0x18bb155a, (q31_t)0x82696ddc, (q31_t)0x18b4eb22, (q31_t)0x8268373c,
+ (q31_t)0x18aec0db, (q31_t)0x826700e9, (q31_t)0x18a89685, (q31_t)0x8265cae4, (q31_t)0x18a26c20, (q31_t)0x8264952d, (q31_t)0x189c41ab, (q31_t)0x82635fc2,
+ (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x188fec95, (q31_t)0x8260f5d7, (q31_t)0x1889c1f3, (q31_t)0x825fc155, (q31_t)0x18839742, (q31_t)0x825e8d21,
+ (q31_t)0x187d6c82, (q31_t)0x825d593a, (q31_t)0x187741b2, (q31_t)0x825c25a1, (q31_t)0x187116d4, (q31_t)0x825af255, (q31_t)0x186aebe6, (q31_t)0x8259bf57,
+ (q31_t)0x1864c0ea, (q31_t)0x82588ca7, (q31_t)0x185e95de, (q31_t)0x82575a44, (q31_t)0x18586ac3, (q31_t)0x8256282e, (q31_t)0x18523f9a, (q31_t)0x8254f666,
+ (q31_t)0x184c1461, (q31_t)0x8253c4eb, (q31_t)0x1845e919, (q31_t)0x825293be, (q31_t)0x183fbdc3, (q31_t)0x825162df, (q31_t)0x1839925d, (q31_t)0x8250324d,
+ (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x182d3b65, (q31_t)0x824dd211, (q31_t)0x18270fd3, (q31_t)0x824ca268, (q31_t)0x1820e431, (q31_t)0x824b730c,
+ (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x18148cc2, (q31_t)0x8249153d, (q31_t)0x180e60f4, (q31_t)0x8247e6ca, (q31_t)0x18083518, (q31_t)0x8246b8a4,
+ (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17fbdd32, (q31_t)0x82445d41, (q31_t)0x17f5b129, (q31_t)0x82433004, (q31_t)0x17ef8511, (q31_t)0x82420315,
+ (q31_t)0x17e958ea, (q31_t)0x8240d673, (q31_t)0x17e32cb5, (q31_t)0x823faa1e, (q31_t)0x17dd0070, (q31_t)0x823e7e18, (q31_t)0x17d6d41d, (q31_t)0x823d525e,
+ (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17ca7b4c, (q31_t)0x823afbd5, (q31_t)0x17c44ecd, (q31_t)0x8239d104, (q31_t)0x17be223f, (q31_t)0x8238a681,
+ (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x17b1c8f8, (q31_t)0x82365264, (q31_t)0x17ab9c3e, (q31_t)0x823528ca, (q31_t)0x17a56f76, (q31_t)0x8233ff7e,
+ (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x179915ba, (q31_t)0x8231adce, (q31_t)0x1792e8c6, (q31_t)0x8230856a, (q31_t)0x178cbbc4, (q31_t)0x822f5d54,
+ (q31_t)0x17868eb3, (q31_t)0x822e358b, (q31_t)0x17806194, (q31_t)0x822d0e10, (q31_t)0x177a3466, (q31_t)0x822be6e3, (q31_t)0x17740729, (q31_t)0x822ac004,
+ (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x1767ac85, (q31_t)0x8228732d, (q31_t)0x17617f1d, (q31_t)0x82274d36, (q31_t)0x175b51a7, (q31_t)0x8226278d,
+ (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x174ef68f, (q31_t)0x8223dd24, (q31_t)0x1748c8ee, (q31_t)0x8222b863, (q31_t)0x17429b3e, (q31_t)0x822193f1,
+ (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x17363fb4, (q31_t)0x821f4bf5, (q31_t)0x173011d9, (q31_t)0x821e286b, (q31_t)0x1729e3f0, (q31_t)0x821d052f,
+ (q31_t)0x1723b5f9, (q31_t)0x821be240, (q31_t)0x171d87f3, (q31_t)0x821abfa0, (q31_t)0x171759df, (q31_t)0x82199d4d, (q31_t)0x17112bbd, (q31_t)0x82187b47,
+ (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x1704cf4f, (q31_t)0x82163826, (q31_t)0x16fea102, (q31_t)0x82151709, (q31_t)0x16f872a7, (q31_t)0x8213f63a,
+ (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16ec15c7, (q31_t)0x8211b586, (q31_t)0x16e5e741, (q31_t)0x821095a0, (q31_t)0x16dfb8ae, (q31_t)0x820f7608,
+ (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16d35b5c, (q31_t)0x820d37c1, (q31_t)0x16cd2c9f, (q31_t)0x820c1912, (q31_t)0x16c6fdd3, (q31_t)0x820afab1,
+ (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, (q31_t)0x16baa011, (q31_t)0x8208bed8, (q31_t)0x16b4711b, (q31_t)0x8207a160, (q31_t)0x16ae4217, (q31_t)0x82068435,
+ (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16a1e3e5, (q31_t)0x82044ac9, (q31_t)0x169bb4b7, (q31_t)0x82032e88, (q31_t)0x1695857b, (q31_t)0x82021294,
+ (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x168926da, (q31_t)0x81ffdb96, (q31_t)0x1682f774, (q31_t)0x81fec08c, (q31_t)0x167cc801, (q31_t)0x81fda5cf,
+ (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x167068f0, (q31_t)0x81fb713f, (q31_t)0x166a3953, (q31_t)0x81fa576c, (q31_t)0x166409a8, (q31_t)0x81f93de6,
+ (q31_t)0x165dd9f0, (q31_t)0x81f824ae, (q31_t)0x1657aa29, (q31_t)0x81f70bc3, (q31_t)0x16517a55, (q31_t)0x81f5f327, (q31_t)0x164b4a73, (q31_t)0x81f4dad8,
+ (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x163eea86, (q31_t)0x81f2ab24, (q31_t)0x1638ba7a, (q31_t)0x81f193be, (q31_t)0x16328a61, (q31_t)0x81f07ca6,
+ (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16262a06, (q31_t)0x81ee4f60, (q31_t)0x161ff9c4, (q31_t)0x81ed3932, (q31_t)0x1619c975, (q31_t)0x81ec2351,
+ (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x160d68ad, (q31_t)0x81e9f879, (q31_t)0x16073834, (q31_t)0x81e8e381, (q31_t)0x160107ae, (q31_t)0x81e7ced8,
+ (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, (q31_t)0x15f4a679, (q31_t)0x81e5a66e, (q31_t)0x15ee75cb, (q31_t)0x81e492ad, (q31_t)0x15e8450e, (q31_t)0x81e37f3b,
+ (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15dbe36d, (q31_t)0x81e1593f, (q31_t)0x15d5b288, (q31_t)0x81e046b6, (q31_t)0x15cf8196, (q31_t)0x81df347b,
+ (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15c31f89, (q31_t)0x81dd10ee, (q31_t)0x15bcee6f, (q31_t)0x81dbff9c, (q31_t)0x15b6bd47, (q31_t)0x81daee98,
+ (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x15aa5acf, (q31_t)0x81d8cd79, (q31_t)0x15a4297f, (q31_t)0x81d7bd5e, (q31_t)0x159df821, (q31_t)0x81d6ad92,
+ (q31_t)0x1597c6b7, (q31_t)0x81d59e13, (q31_t)0x1591953e, (q31_t)0x81d48ee1, (q31_t)0x158b63b9, (q31_t)0x81d37ffe, (q31_t)0x15853226, (q31_t)0x81d27169,
+ (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x1578ced9, (q31_t)0x81d05527, (q31_t)0x15729d1f, (q31_t)0x81cf477b, (q31_t)0x156c6b57, (q31_t)0x81ce3a1d,
+ (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x156007a0, (q31_t)0x81cc204a, (q31_t)0x1559d5b1, (q31_t)0x81cb13d5, (q31_t)0x1553a3b4, (q31_t)0x81ca07af,
+ (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x15473f94, (q31_t)0x81c7f04b, (q31_t)0x15410d70, (q31_t)0x81c6e50d, (q31_t)0x153adb3f, (q31_t)0x81c5da1e,
+ (q31_t)0x1534a901, (q31_t)0x81c4cf7d, (q31_t)0x152e76b5, (q31_t)0x81c3c529, (q31_t)0x1528445d, (q31_t)0x81c2bb23, (q31_t)0x152211f8, (q31_t)0x81c1b16b,
+ (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1515ad06, (q31_t)0x81bf9ee5, (q31_t)0x150f7a7a, (q31_t)0x81be9617, (q31_t)0x150947e1, (q31_t)0x81bd8d97,
+ (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14fce287, (q31_t)0x81bb7d7f, (q31_t)0x14f6afc7, (q31_t)0x81ba75e9, (q31_t)0x14f07cf9, (q31_t)0x81b96ea0,
+ (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14e41738, (q31_t)0x81b760f8, (q31_t)0x14dde445, (q31_t)0x81b65a99, (q31_t)0x14d7b144, (q31_t)0x81b55488,
+ (q31_t)0x14d17e36, (q31_t)0x81b44ec4, (q31_t)0x14cb4b1c, (q31_t)0x81b3494f, (q31_t)0x14c517f4, (q31_t)0x81b24427, (q31_t)0x14bee4c0, (q31_t)0x81b13f4e,
+ (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x14b27e32, (q31_t)0x81af3684, (q31_t)0x14ac4ad7, (q31_t)0x81ae3294, (q31_t)0x14a61770, (q31_t)0x81ad2ef2,
+ (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x1499b07c, (q31_t)0x81ab2898, (q31_t)0x14937cee, (q31_t)0x81aa25e0, (q31_t)0x148d4954, (q31_t)0x81a92376,
+ (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x1480e1fa, (q31_t)0x81a71f8b, (q31_t)0x147aae3a, (q31_t)0x81a61e0b, (q31_t)0x14747a6d, (q31_t)0x81a51cd8,
+ (q31_t)0x146e4694, (q31_t)0x81a41bf4, (q31_t)0x146812ae, (q31_t)0x81a31b5d, (q31_t)0x1461debc, (q31_t)0x81a21b14, (q31_t)0x145baabd, (q31_t)0x81a11b1a,
+ (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x144f4299, (q31_t)0x819f1c0e, (q31_t)0x14490e74, (q31_t)0x819e1cfd, (q31_t)0x1442da43, (q31_t)0x819d1e3a,
+ (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x143671bb, (q31_t)0x819b219e, (q31_t)0x14303d65, (q31_t)0x819a23c5, (q31_t)0x142a0902, (q31_t)0x8199263a,
+ (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x141da016, (q31_t)0x81972c0e, (q31_t)0x14176b8e, (q31_t)0x81962f6d, (q31_t)0x141136f9, (q31_t)0x8195331a,
+ (q31_t)0x140b0258, (q31_t)0x81943715, (q31_t)0x1404cdaa, (q31_t)0x81933b5e, (q31_t)0x13fe98f1, (q31_t)0x81923ff4, (q31_t)0x13f8642a, (q31_t)0x819144d9,
+ (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13ebfa79, (q31_t)0x818f4f8d, (q31_t)0x13e5c58e, (q31_t)0x818e555c, (q31_t)0x13df9097, (q31_t)0x818d5b78,
+ (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13d32683, (q31_t)0x818b689c, (q31_t)0x13ccf167, (q31_t)0x818a6fa3, (q31_t)0x13c6bc3f, (q31_t)0x818976f8,
+ (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13ba51ca, (q31_t)0x8187868b, (q31_t)0x13b41c7d, (q31_t)0x81868eca, (q31_t)0x13ade724, (q31_t)0x81859757,
+ (q31_t)0x13a7b1bf, (q31_t)0x8184a032, (q31_t)0x13a17c4d, (q31_t)0x8183a95b, (q31_t)0x139b46d0, (q31_t)0x8182b2d1, (q31_t)0x13951146, (q31_t)0x8181bc96,
+ (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x1388a60f, (q31_t)0x817fd10a, (q31_t)0x13827062, (q31_t)0x817edbb9, (q31_t)0x137c3aa8, (q31_t)0x817de6b6,
+ (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x136fcf10, (q31_t)0x817bfd9b, (q31_t)0x13699933, (q31_t)0x817b0982, (q31_t)0x13636349, (q31_t)0x817a15b7,
+ (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x1356f752, (q31_t)0x81782f0b, (q31_t)0x1350c144, (q31_t)0x81773c2b, (q31_t)0x134a8b2b, (q31_t)0x81764998,
+ (q31_t)0x13445505, (q31_t)0x81755754, (q31_t)0x133e1ed4, (q31_t)0x8174655d, (q31_t)0x1337e897, (q31_t)0x817373b5, (q31_t)0x1331b24e, (q31_t)0x8172825a,
+ (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x13254599, (q31_t)0x8170a090, (q31_t)0x131f0f2c, (q31_t)0x816fb020, (q31_t)0x1318d8b4, (q31_t)0x816ebffe,
+ (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x130c6ba0, (q31_t)0x816ce0a4, (q31_t)0x13063505, (q31_t)0x816bf16c, (q31_t)0x12fffe5d, (q31_t)0x816b0282,
+ (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12f390ec, (q31_t)0x81692599, (q31_t)0x12ed5a21, (q31_t)0x81683799, (q31_t)0x12e7234b, (q31_t)0x816749e8,
+ (q31_t)0x12e0ec6a, (q31_t)0x81665c84, (q31_t)0x12dab57c, (q31_t)0x81656f6f, (q31_t)0x12d47e83, (q31_t)0x816482a8, (q31_t)0x12ce477f, (q31_t)0x8163962f,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12c1d953, (q31_t)0x8161be27, (q31_t)0x12bba22b, (q31_t)0x8160d298, (q31_t)0x12b56af9, (q31_t)0x815fe758,
+ (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x12a8fc70, (q31_t)0x815e11c1, (q31_t)0x12a2c51b, (q31_t)0x815d276a, (q31_t)0x129c8dba, (q31_t)0x815c3d62,
+ (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x12901ed5, (q31_t)0x815a6a3c, (q31_t)0x1289e752, (q31_t)0x8159811e, (q31_t)0x1283afc3, (q31_t)0x8158984e,
+ (q31_t)0x127d7829, (q31_t)0x8157afcd, (q31_t)0x12774083, (q31_t)0x8156c799, (q31_t)0x127108d2, (q31_t)0x8155dfb4, (q31_t)0x126ad116, (q31_t)0x8154f81d,
+ (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x125e617b, (q31_t)0x815329d9, (q31_t)0x1258299c, (q31_t)0x8152432c, (q31_t)0x1251f1b3, (q31_t)0x81515ccd,
+ (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x124581bd, (q31_t)0x814f90fb, (q31_t)0x123f49b2, (q31_t)0x814eab86, (q31_t)0x1239119b, (q31_t)0x814dc660,
+ (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x122ca14b, (q31_t)0x814bfcff, (q31_t)0x12266913, (q31_t)0x814b18c3, (q31_t)0x122030cf, (q31_t)0x814a34d6,
+ (q31_t)0x1219f880, (q31_t)0x81495136, (q31_t)0x1213c026, (q31_t)0x81486de5, (q31_t)0x120d87c1, (q31_t)0x81478ae2, (q31_t)0x12074f50, (q31_t)0x8146a82e,
+ (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11fade4e, (q31_t)0x8144e3ae, (q31_t)0x11f4a5bd, (q31_t)0x814401e4, (q31_t)0x11ee6d20, (q31_t)0x81432068,
+ (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11e1fbc5, (q31_t)0x81415e5a, (q31_t)0x11dbc307, (q31_t)0x81407dc9, (q31_t)0x11d58a3e, (q31_t)0x813f9d86,
+ (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11c9188b, (q31_t)0x813ddde9, (q31_t)0x11c2dfa2, (q31_t)0x813cfe91, (q31_t)0x11bca6ad, (q31_t)0x813c1f86,
+ (q31_t)0x11b66dad, (q31_t)0x813b40ca, (q31_t)0x11b034a2, (q31_t)0x813a625b, (q31_t)0x11a9fb8d, (q31_t)0x8139843b, (q31_t)0x11a3c26c, (q31_t)0x8138a66a,
+ (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1197500a, (q31_t)0x8136ebb1, (q31_t)0x119116c9, (q31_t)0x81360ec9, (q31_t)0x118add7d, (q31_t)0x81353230,
+ (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x117e6ac5, (q31_t)0x813379e9, (q31_t)0x11783159, (q31_t)0x81329e3b, (q31_t)0x1171f7e2, (q31_t)0x8131c2db,
+ (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x116584d3, (q31_t)0x81300d05, (q31_t)0x115f4b3c, (q31_t)0x812f3290, (q31_t)0x1159119a, (q31_t)0x812e5868,
+ (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, (q31_t)0x114c9e35, (q31_t)0x812ca505, (q31_t)0x11466473, (q31_t)0x812bcbc8, (q31_t)0x11402aa6, (q31_t)0x812af2da,
+ (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x1133b6ed, (q31_t)0x812941e8, (q31_t)0x112d7d00, (q31_t)0x812869e4, (q31_t)0x11274309, (q31_t)0x8127922f,
+ (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x111acefb, (q31_t)0x8125e3af, (q31_t)0x111494e4, (q31_t)0x81250ce4, (q31_t)0x110e5ac2, (q31_t)0x81243668,
+ (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x1101e65f, (q31_t)0x81228a5a, (q31_t)0x10fbac1e, (q31_t)0x8121b4c8, (q31_t)0x10f571d3, (q31_t)0x8120df85,
+ (q31_t)0x10ef377d, (q31_t)0x81200a90, (q31_t)0x10e8fd1c, (q31_t)0x811f35e9, (q31_t)0x10e2c2b2, (q31_t)0x811e6191, (q31_t)0x10dc883c, (q31_t)0x811d8d86,
+ (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10d01333, (q31_t)0x811be65d, (q31_t)0x10c9d89e, (q31_t)0x811b133d, (q31_t)0x10c39dff, (q31_t)0x811a406c,
+ (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10b728a3, (q31_t)0x81189bb4, (q31_t)0x10b0ede5, (q31_t)0x8117c9ce, (q31_t)0x10aab31d, (q31_t)0x8116f836,
+ (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x109e3d6e, (q31_t)0x811555f1, (q31_t)0x10980287, (q31_t)0x81148544, (q31_t)0x1091c796, (q31_t)0x8113b4e5,
+ (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, (q31_t)0x10855195, (q31_t)0x81121512, (q31_t)0x107f1686, (q31_t)0x8111459e, (q31_t)0x1078db6c, (q31_t)0x81107678,
+ (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x106c651a, (q31_t)0x810ed917, (q31_t)0x106629e1, (q31_t)0x810e0adc, (q31_t)0x105fee9f, (q31_t)0x810d3cf0,
+ (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x105377fc, (q31_t)0x810ba202, (q31_t)0x104d3c9b, (q31_t)0x810ad500, (q31_t)0x10470130, (q31_t)0x810a084d,
+ (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x103a8a3d, (q31_t)0x81086fd1, (q31_t)0x10344eb4, (q31_t)0x8107a409, (q31_t)0x102e1321, (q31_t)0x8106d88f,
+ (q31_t)0x1027d784, (q31_t)0x81060d63, (q31_t)0x10219bdd, (q31_t)0x81054286, (q31_t)0x101b602d, (q31_t)0x810477f7, (q31_t)0x10152472, (q31_t)0x8103adb6,
+ (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0x1008acdf, (q31_t)0x81021a20, (q31_t)0x10027107, (q31_t)0x810150ca, (q31_t)0xffc3524, (q31_t)0x810087c3,
+ (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfefbd42, (q31_t)0x80fef69f, (q31_t)0xfe98143, (q31_t)0x80fe2e83, (q31_t)0xfe34539, (q31_t)0x80fd66b5,
+ (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfd6cd08, (q31_t)0x80fbd804, (q31_t)0xfd090e1, (q31_t)0x80fb1121, (q31_t)0xfca54b1, (q31_t)0x80fa4a8c,
+ (q31_t)0xfc41876, (q31_t)0x80f98446, (q31_t)0xfbddc32, (q31_t)0x80f8be4e, (q31_t)0xfb79fe4, (q31_t)0x80f7f8a4, (q31_t)0xfb1638d, (q31_t)0x80f73349,
+ (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xfa4eac0, (q31_t)0x80f5a97e, (q31_t)0xf9eae4c, (q31_t)0x80f4e50e, (q31_t)0xf9871ce, (q31_t)0x80f420ec,
+ (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf8bf8b4, (q31_t)0x80f29994, (q31_t)0xf85bc19, (q31_t)0x80f1d65d, (q31_t)0xf7f7f75, (q31_t)0x80f11375,
+ (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf73060f, (q31_t)0x80ef8e90, (q31_t)0xf6cc94e, (q31_t)0x80eecc93, (q31_t)0xf668c83, (q31_t)0x80ee0ae4,
+ (q31_t)0xf604faf, (q31_t)0x80ed4984, (q31_t)0xf5a12d1, (q31_t)0x80ec8872, (q31_t)0xf53d5ea, (q31_t)0x80ebc7ae, (q31_t)0xf4d98f9, (q31_t)0x80eb0739,
+ (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf411efb, (q31_t)0x80e9873a, (q31_t)0xf3ae1ee, (q31_t)0x80e8c7b0, (q31_t)0xf34a4d8, (q31_t)0x80e80874,
+ (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf282a8f, (q31_t)0x80e68ae8, (q31_t)0xf21ed5d, (q31_t)0x80e5cc98, (q31_t)0xf1bb021, (q31_t)0x80e50e96,
+ (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xf0f358e, (q31_t)0x80e3937d, (q31_t)0xf08f836, (q31_t)0x80e2d666, (q31_t)0xf02bad5, (q31_t)0x80e2199e,
+ (q31_t)0xefc7d6b, (q31_t)0x80e15d24, (q31_t)0xef63ff7, (q31_t)0x80e0a0f8, (q31_t)0xef0027b, (q31_t)0x80dfe51b, (q31_t)0xee9c4f5, (q31_t)0x80df298c,
+ (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xedd49ce, (q31_t)0x80ddb35a, (q31_t)0xed70c2c, (q31_t)0x80dcf8b7, (q31_t)0xed0ce82, (q31_t)0x80dc3e62,
+ (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xec45311, (q31_t)0x80dacaa3, (q31_t)0xebe154b, (q31_t)0x80da1139, (q31_t)0xeb7d77c, (q31_t)0x80d9581e,
+ (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xeab5bc3, (q31_t)0x80d7e6d3, (q31_t)0xea51dd8, (q31_t)0x80d72ea3, (q31_t)0xe9edfe5, (q31_t)0x80d676c1,
+ (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, (q31_t)0xe9263e3, (q31_t)0x80d507e9, (q31_t)0xe8c25d5, (q31_t)0x80d450f3, (q31_t)0xe85e7be, (q31_t)0x80d39a4b,
+ (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe796b74, (q31_t)0x80d22de7, (q31_t)0xe732d42, (q31_t)0x80d1782a, (q31_t)0xe6cef07, (q31_t)0x80d0c2bc,
+ (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe607277, (q31_t)0x80cf58cc, (q31_t)0xe5a3421, (q31_t)0x80cea449, (q31_t)0xe53f5c2, (q31_t)0x80cdf015,
+ (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe4778eb, (q31_t)0x80cc8898, (q31_t)0xe413a72, (q31_t)0x80cbd54f, (q31_t)0xe3afbf0, (q31_t)0x80cb2255,
+ (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, (q31_t)0xe2e7ed2, (q31_t)0x80c9bd4c, (q31_t)0xe284036, (q31_t)0x80c90b3d, (q31_t)0xe220191, (q31_t)0x80c8597c,
+ (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe15842e, (q31_t)0x80c6f6e7, (q31_t)0xe0f456f, (q31_t)0x80c64612, (q31_t)0xe0906a7, (q31_t)0x80c5958b,
+ (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xdfc88fe, (q31_t)0x80c4356a, (q31_t)0xdf64a1c, (q31_t)0x80c385cf, (q31_t)0xdf00b32, (q31_t)0x80c2d682,
+ (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xde38d44, (q31_t)0x80c178d4, (q31_t)0xddd4e40, (q31_t)0x80c0ca73, (q31_t)0xdd70f34, (q31_t)0x80c01c60,
+ (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, (q31_t)0xdca9102, (q31_t)0x80bec127, (q31_t)0xdc451dc, (q31_t)0x80be13ff, (q31_t)0xdbe12ad, (q31_t)0x80bd6727,
+ (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xdb19437, (q31_t)0x80bc0e61, (q31_t)0xdab54ef, (q31_t)0x80bb6274, (q31_t)0xda5159f, (q31_t)0x80bab6d5,
+ (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd9896e5, (q31_t)0x80b96083, (q31_t)0xd92577b, (q31_t)0x80b8b5d0, (q31_t)0xd8c1809, (q31_t)0x80b80b6c,
+ (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd7f990c, (q31_t)0x80b6b78e, (q31_t)0xd795982, (q31_t)0x80b60e15, (q31_t)0xd7319ee, (q31_t)0x80b564ea,
+ (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, (q31_t)0xd669aaf, (q31_t)0x80b41381, (q31_t)0xd605b03, (q31_t)0x80b36b42, (q31_t)0xd5a1b4f, (q31_t)0x80b2c351,
+ (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd4d9bcd, (q31_t)0x80b1745c, (q31_t)0xd475c00, (q31_t)0x80b0cd57, (q31_t)0xd411c2b, (q31_t)0x80b026a1,
+ (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd349c68, (q31_t)0x80aeda20, (q31_t)0xd2e5c7b, (q31_t)0x80ae3455, (q31_t)0xd281c85, (q31_t)0x80ad8ed9,
+ (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd1b9c81, (q31_t)0x80ac44cc, (q31_t)0xd155c73, (q31_t)0x80aba03b, (q31_t)0xd0f1c5d, (q31_t)0x80aafbf9,
+ (q31_t)0xd08dc3f, (q31_t)0x80aa5806, (q31_t)0xd029c18, (q31_t)0x80a9b461, (q31_t)0xcfc5bea, (q31_t)0x80a9110b, (q31_t)0xcf61bb4, (q31_t)0x80a86e03,
+ (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xce99b2f, (q31_t)0x80a728df, (q31_t)0xce35ae1, (q31_t)0x80a686c2, (q31_t)0xcdd1a8b, (q31_t)0x80a5e4f5,
+ (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcd099c7, (q31_t)0x80a4a245, (q31_t)0xcca5959, (q31_t)0x80a40163, (q31_t)0xcc418e3, (q31_t)0x80a360d0,
+ (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xcb797e0, (q31_t)0x80a22095, (q31_t)0xcb15752, (q31_t)0x80a180ed, (q31_t)0xcab16bd, (q31_t)0x80a0e194,
+ (q31_t)0xca4d620, (q31_t)0x80a04289, (q31_t)0xc9e957b, (q31_t)0x809fa3cd, (q31_t)0xc9854cf, (q31_t)0x809f0560, (q31_t)0xc92141a, (q31_t)0x809e6741,
+ (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc85929a, (q31_t)0x809d2bef, (q31_t)0xc7f51cf, (q31_t)0x809c8ebc, (q31_t)0xc7910fb, (q31_t)0x809bf1d7,
+ (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc6c8f3e, (q31_t)0x809ab8fa, (q31_t)0xc664e53, (q31_t)0x809a1d01, (q31_t)0xc600d61, (q31_t)0x80998157,
+ (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc538b66, (q31_t)0x80984aee, (q31_t)0xc4d4a5d, (q31_t)0x8097b030, (q31_t)0xc47094d, (q31_t)0x809715c0,
+ (q31_t)0xc40c835, (q31_t)0x80967b9f, (q31_t)0xc3a8715, (q31_t)0x8095e1cc, (q31_t)0xc3445ee, (q31_t)0x80954848, (q31_t)0xc2e04c0, (q31_t)0x8094af13,
+ (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc21824c, (q31_t)0x80937d93, (q31_t)0xc1b4107, (q31_t)0x8092e54a, (q31_t)0xc14ffba, (q31_t)0x80924d4f,
+ (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xc087d0a, (q31_t)0x80911e44, (q31_t)0xc023ba7, (q31_t)0x80908735, (q31_t)0xbfbfa3d, (q31_t)0x808ff074,
+ (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbef7752, (q31_t)0x808ec3df, (q31_t)0xbe935d2, (q31_t)0x808e2e0a, (q31_t)0xbe2f44a, (q31_t)0x808d9884,
+ (q31_t)0xbdcb2bb, (q31_t)0x808d034c, (q31_t)0xbd67124, (q31_t)0x808c6e63, (q31_t)0xbd02f87, (q31_t)0x808bd9c9, (q31_t)0xbc9ede2, (q31_t)0x808b457d,
+ (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbbd6a82, (q31_t)0x808a1dd2, (q31_t)0xbb728c7, (q31_t)0x80898a72, (q31_t)0xbb0e705, (q31_t)0x8088f761,
+ (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xba4636b, (q31_t)0x8087d22a, (q31_t)0xb9e2193, (q31_t)0x80874005, (q31_t)0xb97dfb5, (q31_t)0x8086ae2e,
+ (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb8b5be1, (q31_t)0x80858b6c, (q31_t)0xb8519ed, (q31_t)0x8084fa82, (q31_t)0xb7ed7f2, (q31_t)0x808469e5,
+ (q31_t)0xb7895f0, (q31_t)0x8083d998, (q31_t)0xb7253e6, (q31_t)0x80834999, (q31_t)0xb6c11d5, (q31_t)0x8082b9e9, (q31_t)0xb65cfbe, (q31_t)0x80822a87,
+ (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb594b7a, (q31_t)0x80810cb0, (q31_t)0xb53094d, (q31_t)0x80807e3a, (q31_t)0xb4cc719, (q31_t)0x807ff013,
+ (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb40429d, (q31_t)0x807ed4b1, (q31_t)0xb3a0055, (q31_t)0x807e4776, (q31_t)0xb33be05, (q31_t)0x807dba89,
+ (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb273952, (q31_t)0x807ca19c, (q31_t)0xb20f6ee, (q31_t)0x807c159c, (q31_t)0xb1ab483, (q31_t)0x807b89ea,
+ (q31_t)0xb147211, (q31_t)0x807afe87, (q31_t)0xb0e2f98, (q31_t)0x807a7373, (q31_t)0xb07ed19, (q31_t)0x8079e8ad, (q31_t)0xb01aa92, (q31_t)0x80795e36,
+ (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xaf52571, (q31_t)0x80784a33, (q31_t)0xaeee2d7, (q31_t)0x8077c0a8, (q31_t)0xae8a036, (q31_t)0x8077376c,
+ (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xadc1adf, (q31_t)0x807625df, (q31_t)0xad5d829, (q31_t)0x80759d8e, (q31_t)0xacf956d, (q31_t)0x8075158c,
+ (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xac30fe1, (q31_t)0x80740675, (q31_t)0xabccd11, (q31_t)0x80737f5f, (q31_t)0xab68a3a, (q31_t)0x8072f898,
+ (q31_t)0xab0475c, (q31_t)0x8072721f, (q31_t)0xaaa0478, (q31_t)0x8071ebf6, (q31_t)0xaa3c18e, (q31_t)0x8071661a, (q31_t)0xa9d7e9d, (q31_t)0x8070e08e,
+ (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa90f8a7, (q31_t)0x806fd661, (q31_t)0xa8ab5a2, (q31_t)0x806f51c1, (q31_t)0xa847297, (q31_t)0x806ecd6f,
+ (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa77ec6d, (q31_t)0x806dc5b8, (q31_t)0xa71a94f, (q31_t)0x806d4253, (q31_t)0xa6b662a, (q31_t)0x806cbf3c,
+ (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa5edfcc, (q31_t)0x806bb9fa, (q31_t)0xa589c94, (q31_t)0x806b37cf, (q31_t)0xa525955, (q31_t)0x806ab5f3,
+ (q31_t)0xa4c1610, (q31_t)0x806a3466, (q31_t)0xa45d2c5, (q31_t)0x8069b327, (q31_t)0xa3f8f73, (q31_t)0x80693237, (q31_t)0xa394c1b, (q31_t)0x8068b196,
+ (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa2cc558, (q31_t)0x8067b13f, (q31_t)0xa2681ed, (q31_t)0x8067318a, (q31_t)0xa203e7c, (q31_t)0x8066b224,
+ (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa13b787, (q31_t)0x8065b443, (q31_t)0xa0d7403, (q31_t)0x806535c9, (q31_t)0xa073079, (q31_t)0x8064b79d,
+ (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9faa952, (q31_t)0x8063bc32, (q31_t)0x9f465b5, (q31_t)0x80633ef3, (q31_t)0x9ee2213, (q31_t)0x8062c202,
+ (q31_t)0x9e7de6a, (q31_t)0x80624560, (q31_t)0x9e19abb, (q31_t)0x8061c90c, (q31_t)0x9db5706, (q31_t)0x80614d08, (q31_t)0x9d5134b, (q31_t)0x8060d152,
+ (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9c88bc2, (q31_t)0x805fdad2, (q31_t)0x9c247f5, (q31_t)0x805f6009, (q31_t)0x9bc0421, (q31_t)0x805ee58e,
+ (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x9af7c69, (q31_t)0x805df184, (q31_t)0x9a93884, (q31_t)0x805d77f5, (q31_t)0x9a2f498, (q31_t)0x805cfeb5,
+ (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x9966cb0, (q31_t)0x805c0d21, (q31_t)0x99028b3, (q31_t)0x805b94ce, (q31_t)0x989e4b0, (q31_t)0x805b1cc8,
+ (q31_t)0x983a0a7, (q31_t)0x805aa512, (q31_t)0x97d5c99, (q31_t)0x805a2daa, (q31_t)0x9771884, (q31_t)0x8059b692, (q31_t)0x970d46a, (q31_t)0x80593fc7,
+ (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9644c23, (q31_t)0x8058531f, (q31_t)0x95e07f8, (q31_t)0x8057dd41, (q31_t)0x957c3c6, (q31_t)0x805767b2,
+ (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x94b3b52, (q31_t)0x80567d80, (q31_t)0x944f70f, (q31_t)0x805608dd, (q31_t)0x93eb2c6, (q31_t)0x80559489,
+ (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x9322a24, (q31_t)0x8054accd, (q31_t)0x92be5ca, (q31_t)0x80543965, (q31_t)0x925a16b, (q31_t)0x8053c64c,
+ (q31_t)0x91f5d06, (q31_t)0x80535381, (q31_t)0x919189c, (q31_t)0x8052e106, (q31_t)0x912d42c, (q31_t)0x80526ed9, (q31_t)0x90c8fb6, (q31_t)0x8051fcfb,
+ (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x90006ba, (q31_t)0x80511a2b, (q31_t)0x8f9c233, (q31_t)0x8050a939, (q31_t)0x8f37da7, (q31_t)0x80503896,
+ (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8e6f47f, (q31_t)0x804f583c, (q31_t)0x8e0afe2, (q31_t)0x804ee885, (q31_t)0x8da6b40, (q31_t)0x804e791d,
+ (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8cde1ec, (q31_t)0x804d9b39, (q31_t)0x8c79d3a, (q31_t)0x804d2cbd, (q31_t)0x8c15882, (q31_t)0x804cbe90,
+ (q31_t)0x8bb13c5, (q31_t)0x804c50b2, (q31_t)0x8b4cf02, (q31_t)0x804be323, (q31_t)0x8ae8a3a, (q31_t)0x804b75e2, (q31_t)0x8a8456d, (q31_t)0x804b08f0,
+ (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x89bbbc3, (q31_t)0x804a2ff9, (q31_t)0x89576e5, (q31_t)0x8049c3f3, (q31_t)0x88f3203, (q31_t)0x8049583d,
+ (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x882a82e, (q31_t)0x804881bb, (q31_t)0x87c633c, (q31_t)0x804816f1, (q31_t)0x8761e44, (q31_t)0x8047ac75,
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+ (q31_t)0x856c520, (q31_t)0x80459ca9, (q31_t)0x850800a, (q31_t)0x80453406, (q31_t)0x84a3aee, (q31_t)0x8044cbb2, (q31_t)0x843f5cd, (q31_t)0x804463ad,
+ (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8376b7c, (q31_t)0x8043948e, (q31_t)0x831264c, (q31_t)0x80432d75, (q31_t)0x82ae117, (q31_t)0x8042c6ab,
+ (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x81e569d, (q31_t)0x8041fa03, (q31_t)0x8181159, (q31_t)0x80419425, (q31_t)0x811cc10, (q31_t)0x80412e96,
+ (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x805416e, (q31_t)0x80406465, (q31_t)0x7fefc16, (q31_t)0x803fffc2, (q31_t)0x7f8b6b9, (q31_t)0x803f9b6f,
+ (q31_t)0x7f27157, (q31_t)0x803f376a, (q31_t)0x7ec2bf0, (q31_t)0x803ed3b3, (q31_t)0x7e5e685, (q31_t)0x803e704c, (q31_t)0x7dfa114, (q31_t)0x803e0d34,
+ (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7d31624, (q31_t)0x803d47ef, (q31_t)0x7ccd0a5, (q31_t)0x803ce5c3, (q31_t)0x7c68b21, (q31_t)0x803c83e5,
+ (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7ba000b, (q31_t)0x803bc117, (q31_t)0x7b3ba78, (q31_t)0x803b6026, (q31_t)0x7ad74e1, (q31_t)0x803aff84,
+ (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x7a0e9a5, (q31_t)0x803a3f2d, (q31_t)0x79aa400, (q31_t)0x8039df77, (q31_t)0x7945e56, (q31_t)0x80398010,
+ (q31_t)0x78e18a7, (q31_t)0x803920f8, (q31_t)0x787d2f4, (q31_t)0x8038c22f, (q31_t)0x7818d3c, (q31_t)0x803863b5, (q31_t)0x77b4780, (q31_t)0x80380589,
+ (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x76ebbf9, (q31_t)0x80374a1f, (q31_t)0x768762e, (q31_t)0x8036ece0, (q31_t)0x762305f, (q31_t)0x80368fef,
+ (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x755a4b4, (q31_t)0x8035d6fb, (q31_t)0x74f5ed7, (q31_t)0x80357af8, (q31_t)0x74918f6, (q31_t)0x80351f43,
+ (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x73c8d27, (q31_t)0x803468c5, (q31_t)0x7364738, (q31_t)0x80340dfd, (q31_t)0x7300145, (q31_t)0x8033b383,
+ (q31_t)0x729bb4e, (q31_t)0x80335959, (q31_t)0x7237552, (q31_t)0x8032ff7d, (q31_t)0x71d2f52, (q31_t)0x8032a5ef, (q31_t)0x716e94e, (q31_t)0x80324cb1,
+ (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x70a5d37, (q31_t)0x80319b21, (q31_t)0x7041726, (q31_t)0x803142cf, (q31_t)0x6fdd110, (q31_t)0x8030eacd,
+ (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6f144d7, (q31_t)0x80303bb3, (q31_t)0x6eafeb4, (q31_t)0x802fe49d, (q31_t)0x6e4b88d, (q31_t)0x802f8dd5,
+ (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6d82c32, (q31_t)0x802ee133, (q31_t)0x6d1e5fe, (q31_t)0x802e8b58, (q31_t)0x6cb9fc6, (q31_t)0x802e35cb,
+ (q31_t)0x6c5598a, (q31_t)0x802de08e, (q31_t)0x6bf1349, (q31_t)0x802d8ba0, (q31_t)0x6b8cd05, (q31_t)0x802d3700, (q31_t)0x6b286bc, (q31_t)0x802ce2af,
+ (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6a5fa1e, (q31_t)0x802c3afa, (q31_t)0x69fb3c9, (q31_t)0x802be796, (q31_t)0x6996d70, (q31_t)0x802b9480,
+ (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x68ce0b2, (q31_t)0x802aef42, (q31_t)0x6869a4c, (q31_t)0x802a9d19, (q31_t)0x68053e3, (q31_t)0x802a4b3f,
+ (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x673c704, (q31_t)0x8029a878, (q31_t)0x66d808f, (q31_t)0x8029578b, (q31_t)0x6673a16, (q31_t)0x802906ec,
+ (q31_t)0x660f398, (q31_t)0x8028b69c, (q31_t)0x65aad17, (q31_t)0x8028669b, (q31_t)0x6546692, (q31_t)0x802816e9, (q31_t)0x64e2009, (q31_t)0x8027c786,
+ (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x64192eb, (q31_t)0x802729ad, (q31_t)0x63b4c57, (q31_t)0x8026db36, (q31_t)0x63505be, (q31_t)0x80268d0e,
+ (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x6287882, (q31_t)0x8025f1ac, (q31_t)0x62231de, (q31_t)0x8025a471, (q31_t)0x61beb36, (q31_t)0x80255784,
+ (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x60f5ddc, (q31_t)0x8024be99, (q31_t)0x6091729, (q31_t)0x80247299, (q31_t)0x602d072, (q31_t)0x802426e8,
+ (q31_t)0x5fc89b8, (q31_t)0x8023db86, (q31_t)0x5f642fa, (q31_t)0x80239073, (q31_t)0x5effc38, (q31_t)0x802345af, (q31_t)0x5e9b572, (q31_t)0x8022fb3a,
+ (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5dd27dd, (q31_t)0x8022673c, (q31_t)0x5d6e10c, (q31_t)0x80221db3, (q31_t)0x5d09a38, (q31_t)0x8021d47a,
+ (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5c40c86, (q31_t)0x802142f3, (q31_t)0x5bdc5a7, (q31_t)0x8020faa6, (q31_t)0x5b77ec5, (q31_t)0x8020b2a7,
+ (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5aaf0f6, (q31_t)0x80202397, (q31_t)0x5a4aa09, (q31_t)0x801fdc86, (q31_t)0x59e6319, (q31_t)0x801f95c3,
+ (q31_t)0x5981c26, (q31_t)0x801f4f4f, (q31_t)0x591d52f, (q31_t)0x801f092a, (q31_t)0x58b8e34, (q31_t)0x801ec354, (q31_t)0x5854736, (q31_t)0x801e7dcd,
+ (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x578b930, (q31_t)0x801df3ab, (q31_t)0x5727228, (q31_t)0x801daf11, (q31_t)0x56c2b1c, (q31_t)0x801d6ac5,
+ (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x55f9cfb, (q31_t)0x801ce31a, (q31_t)0x55955e6, (q31_t)0x801c9fbb, (q31_t)0x5530ecd, (q31_t)0x801c5cab,
+ (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x5468092, (q31_t)0x801bd777, (q31_t)0x540396f, (q31_t)0x801b9554, (q31_t)0x539f249, (q31_t)0x801b537f,
+ (q31_t)0x533ab20, (q31_t)0x801b11fa, (q31_t)0x52d63f4, (q31_t)0x801ad0c3, (q31_t)0x5271cc4, (q31_t)0x801a8fdb, (q31_t)0x520d592, (q31_t)0x801a4f42,
+ (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5144723, (q31_t)0x8019cefd, (q31_t)0x50dffe7, (q31_t)0x80198f50, (q31_t)0x507b8a8, (q31_t)0x80194ff3,
+ (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4fb2a20, (q31_t)0x8018d225, (q31_t)0x4f4e2d8, (q31_t)0x801893b4, (q31_t)0x4ee9b8c, (q31_t)0x80185592,
+ (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4e20cec, (q31_t)0x8017da3b, (q31_t)0x4dbc597, (q31_t)0x80179d06, (q31_t)0x4d57e40, (q31_t)0x80176020,
+ (q31_t)0x4cf36e5, (q31_t)0x80172388, (q31_t)0x4c8ef88, (q31_t)0x8016e740, (q31_t)0x4c2a827, (q31_t)0x8016ab46, (q31_t)0x4bc60c4, (q31_t)0x80166f9c,
+ (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x4afd1f4, (q31_t)0x8015f933, (q31_t)0x4a98a88, (q31_t)0x8015be75, (q31_t)0x4a34319, (q31_t)0x80158406,
+ (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x496b432, (q31_t)0x80151015, (q31_t)0x4906cbb, (q31_t)0x8014d693, (q31_t)0x48a2540, (q31_t)0x80149d5f,
+ (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x47d9643, (q31_t)0x80142be5, (q31_t)0x4774ec1, (q31_t)0x8013f39e, (q31_t)0x471073b, (q31_t)0x8013bba7,
+ (q31_t)0x46abfb3, (q31_t)0x801383fe, (q31_t)0x4647828, (q31_t)0x80134ca4, (q31_t)0x45e309a, (q31_t)0x80131599, (q31_t)0x457e90a, (q31_t)0x8012dedd,
+ (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x44b59e1, (q31_t)0x80127251, (q31_t)0x4451249, (q31_t)0x80123c82, (q31_t)0x43ecaae, (q31_t)0x80120701,
+ (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x4323b70, (q31_t)0x80119ced, (q31_t)0x42bf3cd, (q31_t)0x80116859, (q31_t)0x425ac28, (q31_t)0x80113414,
+ (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x4191cd5, (q31_t)0x8010cc78, (q31_t)0x412d528, (q31_t)0x8010991f, (q31_t)0x40c8d79, (q31_t)0x80106616,
+ (q31_t)0x40645c7, (q31_t)0x8010335c, (q31_t)0x3fffe12, (q31_t)0x801000f1, (q31_t)0x3f9b65b, (q31_t)0x800fced4, (q31_t)0x3f36ea2, (q31_t)0x800f9d07,
+ (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3e6df28, (q31_t)0x800f3a59, (q31_t)0x3e09767, (q31_t)0x800f0978, (q31_t)0x3da4fa4, (q31_t)0x800ed8e6,
+ (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3cdc017, (q31_t)0x800e78af, (q31_t)0x3c7784d, (q31_t)0x800e490a, (q31_t)0x3c13080, (q31_t)0x800e19b4,
+ (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3b4a0e0, (q31_t)0x800dbbf5, (q31_t)0x3ae590d, (q31_t)0x800d8d8b, (q31_t)0x3a81137, (q31_t)0x800d5f71,
+ (q31_t)0x3a1c960, (q31_t)0x800d31a5, (q31_t)0x39b8185, (q31_t)0x800d0429, (q31_t)0x39539a9, (q31_t)0x800cd6fb, (q31_t)0x38ef1ca, (q31_t)0x800caa1c,
+ (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x3826207, (q31_t)0x800c514c, (q31_t)0x37c1a22, (q31_t)0x800c255a, (q31_t)0x375d23a, (q31_t)0x800bf9b7,
+ (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3694265, (q31_t)0x800ba35d, (q31_t)0x362fa78, (q31_t)0x800b78a7, (q31_t)0x35cb288, (q31_t)0x800b4e40,
+ (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x35022a2, (q31_t)0x800afa5e, (q31_t)0x349daac, (q31_t)0x800ad0e3, (q31_t)0x34392b4, (q31_t)0x800aa7b8,
+ (q31_t)0x33d4abb, (q31_t)0x800a7edb, (q31_t)0x33702bf, (q31_t)0x800a564e, (q31_t)0x330bac1, (q31_t)0x800a2e0f, (q31_t)0x32a72c1, (q31_t)0x800a061f,
+ (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x31de2bb, (q31_t)0x8009b72c, (q31_t)0x3179ab5, (q31_t)0x80099029, (q31_t)0x31152ae, (q31_t)0x80096975,
+ (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x304c299, (q31_t)0x80091cf9, (q31_t)0x2fe7a8c, (q31_t)0x8008f732, (q31_t)0x2f8327d, (q31_t)0x8008d1ba,
+ (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2eba259, (q31_t)0x800887b6, (q31_t)0x2e55a44, (q31_t)0x8008632a, (q31_t)0x2df122e, (q31_t)0x80083eed,
+ (q31_t)0x2d8ca16, (q31_t)0x80081b00, (q31_t)0x2d281fc, (q31_t)0x8007f761, (q31_t)0x2cc39e1, (q31_t)0x8007d411, (q31_t)0x2c5f1c3, (q31_t)0x8007b110,
+ (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2b96184, (q31_t)0x80076bfb, (q31_t)0x2b31961, (q31_t)0x800749e7, (q31_t)0x2acd13d, (q31_t)0x80072822,
+ (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x2a040f0, (q31_t)0x8006e585, (q31_t)0x299f8c7, (q31_t)0x8006c4ac, (q31_t)0x293b09c, (q31_t)0x8006a423,
+ (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x2872043, (q31_t)0x800663fd, (q31_t)0x280d813, (q31_t)0x80064460, (q31_t)0x27a8fe2, (q31_t)0x80062513,
+ (q31_t)0x27447b0, (q31_t)0x80060614, (q31_t)0x26dff7c, (q31_t)0x8005e764, (q31_t)0x267b747, (q31_t)0x8005c904, (q31_t)0x2616f10, (q31_t)0x8005aaf2,
+ (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x254de9e, (q31_t)0x80056fbb, (q31_t)0x24e9662, (q31_t)0x80055296, (q31_t)0x2484e26, (q31_t)0x800535c0,
+ (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x23bbda8, (q31_t)0x8004fd00, (q31_t)0x2357567, (q31_t)0x8004e117, (q31_t)0x22f2d25, (q31_t)0x8004c57d,
+ (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x2229c9d, (q31_t)0x80048f35, (q31_t)0x21c5457, (q31_t)0x80047488, (q31_t)0x2160c0f, (q31_t)0x80045a29,
+ (q31_t)0x20fc3c6, (q31_t)0x8004401a, (q31_t)0x2097b7c, (q31_t)0x80042659, (q31_t)0x2033331, (q31_t)0x80040ce7, (q31_t)0x1fceae4, (q31_t)0x8003f3c5,
+ (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1f05a48, (q31_t)0x8003c26c, (q31_t)0x1ea11f7, (q31_t)0x8003aa36, (q31_t)0x1e3c9a6, (q31_t)0x8003924f,
+ (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1d73900, (q31_t)0x8003636e, (q31_t)0x1d0f0ab, (q31_t)0x80034c74, (q31_t)0x1caa855, (q31_t)0x800335c9,
+ (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1be17a6, (q31_t)0x80030960, (q31_t)0x1b7cf4d, (q31_t)0x8002f3a1, (q31_t)0x1b186f3, (q31_t)0x8002de32,
+ (q31_t)0x1ab3e97, (q31_t)0x8002c912, (q31_t)0x1a4f63b, (q31_t)0x8002b440, (q31_t)0x19eaddd, (q31_t)0x80029fbe, (q31_t)0x198657f, (q31_t)0x80028b8a,
+ (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x18bd4bf, (q31_t)0x80026410, (q31_t)0x1858c5e, (q31_t)0x800250c9, (q31_t)0x17f43fc, (q31_t)0x80023dd2,
+ (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x172b335, (q31_t)0x800218cf, (q31_t)0x16c6ad0, (q31_t)0x800206c4, (q31_t)0x166226a, (q31_t)0x8001f508,
+ (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x159919c, (q31_t)0x8001d27d, (q31_t)0x1534934, (q31_t)0x8001c1ae, (q31_t)0x14d00ca, (q31_t)0x8001b12e,
+ (q31_t)0x146b860, (q31_t)0x8001a0fd, (q31_t)0x1406ff6, (q31_t)0x8001911b, (q31_t)0x13a278a, (q31_t)0x80018187, (q31_t)0x133df1e, (q31_t)0x80017243,
+ (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x1274e43, (q31_t)0x800154a7, (q31_t)0x12105d5, (q31_t)0x80014650, (q31_t)0x11abd66, (q31_t)0x80013847,
+ (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x10e2c85, (q31_t)0x80011d23, (q31_t)0x107e414, (q31_t)0x80011008, (q31_t)0x1019ba2, (q31_t)0x8001033b,
+ (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0x0f50abd, (q31_t)0x8000ea8e, (q31_t)0x0eec249, (q31_t)0x8000deaf, (q31_t)0x0e879d5, (q31_t)0x8000d31e,
+ (q31_t)0x0e23160, (q31_t)0x8000c7dc, (q31_t)0x0dbe8eb, (q31_t)0x8000bce9, (q31_t)0x0d5a075, (q31_t)0x8000b245, (q31_t)0x0cf57ff, (q31_t)0x8000a7f0,
+ (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0c2c711, (q31_t)0x80009433, (q31_t)0x0bc7e99, (q31_t)0x80008aca, (q31_t)0x0b63621, (q31_t)0x800081b1,
+ (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x0a9a52f, (q31_t)0x8000706c, (q31_t)0x0a35cb5, (q31_t)0x8000683f, (q31_t)0x09d143b, (q31_t)0x80006062,
+ (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x0908346, (q31_t)0x80005194, (q31_t)0x08a3acb, (q31_t)0x80004aa4, (q31_t)0x083f250, (q31_t)0x80004402,
+ (q31_t)0x07da9d4, (q31_t)0x80003daf, (q31_t)0x0776159, (q31_t)0x800037ac, (q31_t)0x07118dc, (q31_t)0x800031f7, (q31_t)0x06ad060, (q31_t)0x80002c91,
+ (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x05e3f66, (q31_t)0x800022b3, (q31_t)0x057f6e9, (q31_t)0x80001e3a, (q31_t)0x051ae6b, (q31_t)0x80001a10,
+ (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x0451d70, (q31_t)0x800012a9, (q31_t)0x03ed4f2, (q31_t)0x80000f6c, (q31_t)0x0388c74, (q31_t)0x80000c7e,
+ (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x02bfb77, (q31_t)0x8000078e, (q31_t)0x025b2f8, (q31_t)0x8000058d, (q31_t)0x01f6a7a, (q31_t)0x800003db,
+ (q31_t)0x01921fb, (q31_t)0x80000278, (q31_t)0x012d97c, (q31_t)0x80000163, (q31_t)0x00c90fe, (q31_t)0x8000009e, (q31_t)0x006487f, (q31_t)0x80000027
+};
+ const q31_t cos_factorsQ31_8192[8192] = {
+ (q31_t)0x7ffffff6, (q31_t)0x7fffffa7, (q31_t)0x7fffff09, (q31_t)0x7ffffe1c, (q31_t)0x7ffffce1, (q31_t)0x7ffffb56, (q31_t)0x7ffff97c, (q31_t)0x7ffff753,
+ (q31_t)0x7ffff4dc, (q31_t)0x7ffff215, (q31_t)0x7fffef00, (q31_t)0x7fffeb9b, (q31_t)0x7fffe7e8, (q31_t)0x7fffe3e5, (q31_t)0x7fffdf94, (q31_t)0x7fffdaf3,
+ (q31_t)0x7fffd604, (q31_t)0x7fffd0c6, (q31_t)0x7fffcb39, (q31_t)0x7fffc55c, (q31_t)0x7fffbf31, (q31_t)0x7fffb8b7, (q31_t)0x7fffb1ee, (q31_t)0x7fffaad6,
+ (q31_t)0x7fffa36f, (q31_t)0x7fff9bb9, (q31_t)0x7fff93b4, (q31_t)0x7fff8b61, (q31_t)0x7fff82be, (q31_t)0x7fff79cc, (q31_t)0x7fff708b, (q31_t)0x7fff66fc,
+ (q31_t)0x7fff5d1d, (q31_t)0x7fff52ef, (q31_t)0x7fff4873, (q31_t)0x7fff3da8, (q31_t)0x7fff328d, (q31_t)0x7fff2724, (q31_t)0x7fff1b6b, (q31_t)0x7fff0f64,
+ (q31_t)0x7fff030e, (q31_t)0x7ffef669, (q31_t)0x7ffee975, (q31_t)0x7ffedc31, (q31_t)0x7ffece9f, (q31_t)0x7ffec0be, (q31_t)0x7ffeb28e, (q31_t)0x7ffea40f,
+ (q31_t)0x7ffe9542, (q31_t)0x7ffe8625, (q31_t)0x7ffe76b9, (q31_t)0x7ffe66fe, (q31_t)0x7ffe56f5, (q31_t)0x7ffe469c, (q31_t)0x7ffe35f4, (q31_t)0x7ffe24fe,
+ (q31_t)0x7ffe13b8, (q31_t)0x7ffe0224, (q31_t)0x7ffdf040, (q31_t)0x7ffdde0e, (q31_t)0x7ffdcb8d, (q31_t)0x7ffdb8bc, (q31_t)0x7ffda59d, (q31_t)0x7ffd922f,
+ (q31_t)0x7ffd7e72, (q31_t)0x7ffd6a66, (q31_t)0x7ffd560b, (q31_t)0x7ffd4161, (q31_t)0x7ffd2c68, (q31_t)0x7ffd1720, (q31_t)0x7ffd0189, (q31_t)0x7ffceba4,
+ (q31_t)0x7ffcd56f, (q31_t)0x7ffcbeeb, (q31_t)0x7ffca819, (q31_t)0x7ffc90f7, (q31_t)0x7ffc7987, (q31_t)0x7ffc61c7, (q31_t)0x7ffc49b9, (q31_t)0x7ffc315b,
+ (q31_t)0x7ffc18af, (q31_t)0x7ffbffb4, (q31_t)0x7ffbe66a, (q31_t)0x7ffbccd0, (q31_t)0x7ffbb2e8, (q31_t)0x7ffb98b1, (q31_t)0x7ffb7e2b, (q31_t)0x7ffb6356,
+ (q31_t)0x7ffb4833, (q31_t)0x7ffb2cc0, (q31_t)0x7ffb10fe, (q31_t)0x7ffaf4ed, (q31_t)0x7ffad88e, (q31_t)0x7ffabbdf, (q31_t)0x7ffa9ee2, (q31_t)0x7ffa8195,
+ (q31_t)0x7ffa63fa, (q31_t)0x7ffa460f, (q31_t)0x7ffa27d6, (q31_t)0x7ffa094e, (q31_t)0x7ff9ea76, (q31_t)0x7ff9cb50, (q31_t)0x7ff9abdb, (q31_t)0x7ff98c17,
+ (q31_t)0x7ff96c04, (q31_t)0x7ff94ba2, (q31_t)0x7ff92af1, (q31_t)0x7ff909f2, (q31_t)0x7ff8e8a3, (q31_t)0x7ff8c705, (q31_t)0x7ff8a519, (q31_t)0x7ff882dd,
+ (q31_t)0x7ff86053, (q31_t)0x7ff83d79, (q31_t)0x7ff81a51, (q31_t)0x7ff7f6da, (q31_t)0x7ff7d313, (q31_t)0x7ff7aefe, (q31_t)0x7ff78a9a, (q31_t)0x7ff765e7,
+ (q31_t)0x7ff740e5, (q31_t)0x7ff71b94, (q31_t)0x7ff6f5f4, (q31_t)0x7ff6d005, (q31_t)0x7ff6a9c8, (q31_t)0x7ff6833b, (q31_t)0x7ff65c5f, (q31_t)0x7ff63535,
+ (q31_t)0x7ff60dbb, (q31_t)0x7ff5e5f3, (q31_t)0x7ff5bddc, (q31_t)0x7ff59576, (q31_t)0x7ff56cc0, (q31_t)0x7ff543bc, (q31_t)0x7ff51a69, (q31_t)0x7ff4f0c7,
+ (q31_t)0x7ff4c6d6, (q31_t)0x7ff49c96, (q31_t)0x7ff47208, (q31_t)0x7ff4472a, (q31_t)0x7ff41bfd, (q31_t)0x7ff3f082, (q31_t)0x7ff3c4b7, (q31_t)0x7ff3989e,
+ (q31_t)0x7ff36c36, (q31_t)0x7ff33f7e, (q31_t)0x7ff31278, (q31_t)0x7ff2e523, (q31_t)0x7ff2b77f, (q31_t)0x7ff2898c, (q31_t)0x7ff25b4a, (q31_t)0x7ff22cb9,
+ (q31_t)0x7ff1fdd9, (q31_t)0x7ff1ceab, (q31_t)0x7ff19f2d, (q31_t)0x7ff16f61, (q31_t)0x7ff13f45, (q31_t)0x7ff10edb, (q31_t)0x7ff0de22, (q31_t)0x7ff0ad19,
+ (q31_t)0x7ff07bc2, (q31_t)0x7ff04a1c, (q31_t)0x7ff01827, (q31_t)0x7fefe5e4, (q31_t)0x7fefb351, (q31_t)0x7fef806f, (q31_t)0x7fef4d3e, (q31_t)0x7fef19bf,
+ (q31_t)0x7feee5f0, (q31_t)0x7feeb1d3, (q31_t)0x7fee7d67, (q31_t)0x7fee48ac, (q31_t)0x7fee13a1, (q31_t)0x7fedde48, (q31_t)0x7feda8a0, (q31_t)0x7fed72aa,
+ (q31_t)0x7fed3c64, (q31_t)0x7fed05cf, (q31_t)0x7fecceec, (q31_t)0x7fec97b9, (q31_t)0x7fec6038, (q31_t)0x7fec2867, (q31_t)0x7febf048, (q31_t)0x7febb7da,
+ (q31_t)0x7feb7f1d, (q31_t)0x7feb4611, (q31_t)0x7feb0cb6, (q31_t)0x7fead30c, (q31_t)0x7fea9914, (q31_t)0x7fea5ecc, (q31_t)0x7fea2436, (q31_t)0x7fe9e950,
+ (q31_t)0x7fe9ae1c, (q31_t)0x7fe97299, (q31_t)0x7fe936c7, (q31_t)0x7fe8faa6, (q31_t)0x7fe8be36, (q31_t)0x7fe88177, (q31_t)0x7fe84469, (q31_t)0x7fe8070d,
+ (q31_t)0x7fe7c961, (q31_t)0x7fe78b67, (q31_t)0x7fe74d1e, (q31_t)0x7fe70e85, (q31_t)0x7fe6cf9e, (q31_t)0x7fe69068, (q31_t)0x7fe650e3, (q31_t)0x7fe61110,
+ (q31_t)0x7fe5d0ed, (q31_t)0x7fe5907b, (q31_t)0x7fe54fbb, (q31_t)0x7fe50eac, (q31_t)0x7fe4cd4d, (q31_t)0x7fe48ba0, (q31_t)0x7fe449a4, (q31_t)0x7fe40759,
+ (q31_t)0x7fe3c4bf, (q31_t)0x7fe381d7, (q31_t)0x7fe33e9f, (q31_t)0x7fe2fb19, (q31_t)0x7fe2b743, (q31_t)0x7fe2731f, (q31_t)0x7fe22eac, (q31_t)0x7fe1e9ea,
+ (q31_t)0x7fe1a4d9, (q31_t)0x7fe15f79, (q31_t)0x7fe119cb, (q31_t)0x7fe0d3cd, (q31_t)0x7fe08d81, (q31_t)0x7fe046e5, (q31_t)0x7fdffffb, (q31_t)0x7fdfb8c2,
+ (q31_t)0x7fdf713a, (q31_t)0x7fdf2963, (q31_t)0x7fdee13e, (q31_t)0x7fde98c9, (q31_t)0x7fde5006, (q31_t)0x7fde06f3, (q31_t)0x7fddbd92, (q31_t)0x7fdd73e2,
+ (q31_t)0x7fdd29e3, (q31_t)0x7fdcdf95, (q31_t)0x7fdc94f9, (q31_t)0x7fdc4a0d, (q31_t)0x7fdbfed3, (q31_t)0x7fdbb349, (q31_t)0x7fdb6771, (q31_t)0x7fdb1b4a,
+ (q31_t)0x7fdaced4, (q31_t)0x7fda820f, (q31_t)0x7fda34fc, (q31_t)0x7fd9e799, (q31_t)0x7fd999e8, (q31_t)0x7fd94be8, (q31_t)0x7fd8fd98, (q31_t)0x7fd8aefa,
+ (q31_t)0x7fd8600e, (q31_t)0x7fd810d2, (q31_t)0x7fd7c147, (q31_t)0x7fd7716e, (q31_t)0x7fd72146, (q31_t)0x7fd6d0cf, (q31_t)0x7fd68009, (q31_t)0x7fd62ef4,
+ (q31_t)0x7fd5dd90, (q31_t)0x7fd58bdd, (q31_t)0x7fd539dc, (q31_t)0x7fd4e78c, (q31_t)0x7fd494ed, (q31_t)0x7fd441ff, (q31_t)0x7fd3eec2, (q31_t)0x7fd39b36,
+ (q31_t)0x7fd3475c, (q31_t)0x7fd2f332, (q31_t)0x7fd29eba, (q31_t)0x7fd249f3, (q31_t)0x7fd1f4dd, (q31_t)0x7fd19f78, (q31_t)0x7fd149c5, (q31_t)0x7fd0f3c2,
+ (q31_t)0x7fd09d71, (q31_t)0x7fd046d1, (q31_t)0x7fcfefe2, (q31_t)0x7fcf98a4, (q31_t)0x7fcf4117, (q31_t)0x7fcee93c, (q31_t)0x7fce9112, (q31_t)0x7fce3898,
+ (q31_t)0x7fcddfd0, (q31_t)0x7fcd86b9, (q31_t)0x7fcd2d54, (q31_t)0x7fccd39f, (q31_t)0x7fcc799c, (q31_t)0x7fcc1f4a, (q31_t)0x7fcbc4a9, (q31_t)0x7fcb69b9,
+ (q31_t)0x7fcb0e7a, (q31_t)0x7fcab2ed, (q31_t)0x7fca5710, (q31_t)0x7fc9fae5, (q31_t)0x7fc99e6b, (q31_t)0x7fc941a2, (q31_t)0x7fc8e48b, (q31_t)0x7fc88724,
+ (q31_t)0x7fc8296f, (q31_t)0x7fc7cb6b, (q31_t)0x7fc76d18, (q31_t)0x7fc70e76, (q31_t)0x7fc6af86, (q31_t)0x7fc65046, (q31_t)0x7fc5f0b8, (q31_t)0x7fc590db,
+ (q31_t)0x7fc530af, (q31_t)0x7fc4d035, (q31_t)0x7fc46f6b, (q31_t)0x7fc40e53, (q31_t)0x7fc3acec, (q31_t)0x7fc34b36, (q31_t)0x7fc2e931, (q31_t)0x7fc286de,
+ (q31_t)0x7fc2243b, (q31_t)0x7fc1c14a, (q31_t)0x7fc15e0a, (q31_t)0x7fc0fa7b, (q31_t)0x7fc0969e, (q31_t)0x7fc03271, (q31_t)0x7fbfcdf6, (q31_t)0x7fbf692c,
+ (q31_t)0x7fbf0414, (q31_t)0x7fbe9eac, (q31_t)0x7fbe38f6, (q31_t)0x7fbdd2f0, (q31_t)0x7fbd6c9c, (q31_t)0x7fbd05fa, (q31_t)0x7fbc9f08, (q31_t)0x7fbc37c8,
+ (q31_t)0x7fbbd039, (q31_t)0x7fbb685b, (q31_t)0x7fbb002e, (q31_t)0x7fba97b2, (q31_t)0x7fba2ee8, (q31_t)0x7fb9c5cf, (q31_t)0x7fb95c67, (q31_t)0x7fb8f2b0,
+ (q31_t)0x7fb888ab, (q31_t)0x7fb81e57, (q31_t)0x7fb7b3b4, (q31_t)0x7fb748c2, (q31_t)0x7fb6dd81, (q31_t)0x7fb671f2, (q31_t)0x7fb60614, (q31_t)0x7fb599e7,
+ (q31_t)0x7fb52d6b, (q31_t)0x7fb4c0a1, (q31_t)0x7fb45387, (q31_t)0x7fb3e61f, (q31_t)0x7fb37869, (q31_t)0x7fb30a63, (q31_t)0x7fb29c0f, (q31_t)0x7fb22d6c,
+ (q31_t)0x7fb1be7a, (q31_t)0x7fb14f39, (q31_t)0x7fb0dfaa, (q31_t)0x7fb06fcb, (q31_t)0x7fafff9e, (q31_t)0x7faf8f23, (q31_t)0x7faf1e58, (q31_t)0x7faead3f,
+ (q31_t)0x7fae3bd7, (q31_t)0x7fadca20, (q31_t)0x7fad581b, (q31_t)0x7face5c6, (q31_t)0x7fac7323, (q31_t)0x7fac0031, (q31_t)0x7fab8cf1, (q31_t)0x7fab1962,
+ (q31_t)0x7faaa584, (q31_t)0x7faa3157, (q31_t)0x7fa9bcdb, (q31_t)0x7fa94811, (q31_t)0x7fa8d2f8, (q31_t)0x7fa85d90, (q31_t)0x7fa7e7d9, (q31_t)0x7fa771d4,
+ (q31_t)0x7fa6fb80, (q31_t)0x7fa684dd, (q31_t)0x7fa60dec, (q31_t)0x7fa596ac, (q31_t)0x7fa51f1d, (q31_t)0x7fa4a73f, (q31_t)0x7fa42f12, (q31_t)0x7fa3b697,
+ (q31_t)0x7fa33dcd, (q31_t)0x7fa2c4b5, (q31_t)0x7fa24b4d, (q31_t)0x7fa1d197, (q31_t)0x7fa15792, (q31_t)0x7fa0dd3f, (q31_t)0x7fa0629c, (q31_t)0x7f9fe7ab,
+ (q31_t)0x7f9f6c6b, (q31_t)0x7f9ef0dd, (q31_t)0x7f9e7500, (q31_t)0x7f9df8d4, (q31_t)0x7f9d7c59, (q31_t)0x7f9cff90, (q31_t)0x7f9c8278, (q31_t)0x7f9c0511,
+ (q31_t)0x7f9b875b, (q31_t)0x7f9b0957, (q31_t)0x7f9a8b04, (q31_t)0x7f9a0c62, (q31_t)0x7f998d72, (q31_t)0x7f990e33, (q31_t)0x7f988ea5, (q31_t)0x7f980ec8,
+ (q31_t)0x7f978e9d, (q31_t)0x7f970e23, (q31_t)0x7f968d5b, (q31_t)0x7f960c43, (q31_t)0x7f958add, (q31_t)0x7f950929, (q31_t)0x7f948725, (q31_t)0x7f9404d3,
+ (q31_t)0x7f938232, (q31_t)0x7f92ff43, (q31_t)0x7f927c04, (q31_t)0x7f91f878, (q31_t)0x7f91749c, (q31_t)0x7f90f072, (q31_t)0x7f906bf9, (q31_t)0x7f8fe731,
+ (q31_t)0x7f8f621b, (q31_t)0x7f8edcb6, (q31_t)0x7f8e5702, (q31_t)0x7f8dd0ff, (q31_t)0x7f8d4aae, (q31_t)0x7f8cc40f, (q31_t)0x7f8c3d20, (q31_t)0x7f8bb5e3,
+ (q31_t)0x7f8b2e57, (q31_t)0x7f8aa67d, (q31_t)0x7f8a1e54, (q31_t)0x7f8995dc, (q31_t)0x7f890d15, (q31_t)0x7f888400, (q31_t)0x7f87fa9c, (q31_t)0x7f8770ea,
+ (q31_t)0x7f86e6e9, (q31_t)0x7f865c99, (q31_t)0x7f85d1fa, (q31_t)0x7f85470d, (q31_t)0x7f84bbd1, (q31_t)0x7f843047, (q31_t)0x7f83a46e, (q31_t)0x7f831846,
+ (q31_t)0x7f828bcf, (q31_t)0x7f81ff0a, (q31_t)0x7f8171f6, (q31_t)0x7f80e494, (q31_t)0x7f8056e3, (q31_t)0x7f7fc8e3, (q31_t)0x7f7f3a95, (q31_t)0x7f7eabf8,
+ (q31_t)0x7f7e1d0c, (q31_t)0x7f7d8dd2, (q31_t)0x7f7cfe49, (q31_t)0x7f7c6e71, (q31_t)0x7f7bde4b, (q31_t)0x7f7b4dd6, (q31_t)0x7f7abd13, (q31_t)0x7f7a2c01,
+ (q31_t)0x7f799aa0, (q31_t)0x7f7908f0, (q31_t)0x7f7876f2, (q31_t)0x7f77e4a6, (q31_t)0x7f77520a, (q31_t)0x7f76bf21, (q31_t)0x7f762be8, (q31_t)0x7f759861,
+ (q31_t)0x7f75048b, (q31_t)0x7f747067, (q31_t)0x7f73dbf4, (q31_t)0x7f734732, (q31_t)0x7f72b222, (q31_t)0x7f721cc3, (q31_t)0x7f718715, (q31_t)0x7f70f119,
+ (q31_t)0x7f705ace, (q31_t)0x7f6fc435, (q31_t)0x7f6f2d4d, (q31_t)0x7f6e9617, (q31_t)0x7f6dfe91, (q31_t)0x7f6d66be, (q31_t)0x7f6cce9b, (q31_t)0x7f6c362a,
+ (q31_t)0x7f6b9d6b, (q31_t)0x7f6b045d, (q31_t)0x7f6a6b00, (q31_t)0x7f69d154, (q31_t)0x7f69375a, (q31_t)0x7f689d12, (q31_t)0x7f68027b, (q31_t)0x7f676795,
+ (q31_t)0x7f66cc61, (q31_t)0x7f6630de, (q31_t)0x7f65950c, (q31_t)0x7f64f8ec, (q31_t)0x7f645c7d, (q31_t)0x7f63bfc0, (q31_t)0x7f6322b4, (q31_t)0x7f62855a,
+ (q31_t)0x7f61e7b1, (q31_t)0x7f6149b9, (q31_t)0x7f60ab73, (q31_t)0x7f600cdf, (q31_t)0x7f5f6dfb, (q31_t)0x7f5ecec9, (q31_t)0x7f5e2f49, (q31_t)0x7f5d8f7a,
+ (q31_t)0x7f5cef5c, (q31_t)0x7f5c4ef0, (q31_t)0x7f5bae36, (q31_t)0x7f5b0d2c, (q31_t)0x7f5a6bd5, (q31_t)0x7f59ca2e, (q31_t)0x7f592839, (q31_t)0x7f5885f6,
+ (q31_t)0x7f57e364, (q31_t)0x7f574083, (q31_t)0x7f569d54, (q31_t)0x7f55f9d6, (q31_t)0x7f55560a, (q31_t)0x7f54b1ef, (q31_t)0x7f540d86, (q31_t)0x7f5368ce,
+ (q31_t)0x7f52c3c8, (q31_t)0x7f521e73, (q31_t)0x7f5178cf, (q31_t)0x7f50d2dd, (q31_t)0x7f502c9d, (q31_t)0x7f4f860e, (q31_t)0x7f4edf30, (q31_t)0x7f4e3804,
+ (q31_t)0x7f4d9089, (q31_t)0x7f4ce8c0, (q31_t)0x7f4c40a8, (q31_t)0x7f4b9842, (q31_t)0x7f4aef8d, (q31_t)0x7f4a468a, (q31_t)0x7f499d38, (q31_t)0x7f48f398,
+ (q31_t)0x7f4849a9, (q31_t)0x7f479f6c, (q31_t)0x7f46f4e0, (q31_t)0x7f464a06, (q31_t)0x7f459edd, (q31_t)0x7f44f365, (q31_t)0x7f44479f, (q31_t)0x7f439b8b,
+ (q31_t)0x7f42ef28, (q31_t)0x7f424277, (q31_t)0x7f419577, (q31_t)0x7f40e828, (q31_t)0x7f403a8b, (q31_t)0x7f3f8ca0, (q31_t)0x7f3ede66, (q31_t)0x7f3e2fde,
+ (q31_t)0x7f3d8107, (q31_t)0x7f3cd1e2, (q31_t)0x7f3c226e, (q31_t)0x7f3b72ab, (q31_t)0x7f3ac29b, (q31_t)0x7f3a123b, (q31_t)0x7f39618e, (q31_t)0x7f38b091,
+ (q31_t)0x7f37ff47, (q31_t)0x7f374dad, (q31_t)0x7f369bc6, (q31_t)0x7f35e990, (q31_t)0x7f35370b, (q31_t)0x7f348438, (q31_t)0x7f33d116, (q31_t)0x7f331da6,
+ (q31_t)0x7f3269e8, (q31_t)0x7f31b5db, (q31_t)0x7f31017f, (q31_t)0x7f304cd6, (q31_t)0x7f2f97dd, (q31_t)0x7f2ee296, (q31_t)0x7f2e2d01, (q31_t)0x7f2d771e,
+ (q31_t)0x7f2cc0eb, (q31_t)0x7f2c0a6b, (q31_t)0x7f2b539c, (q31_t)0x7f2a9c7e, (q31_t)0x7f29e512, (q31_t)0x7f292d58, (q31_t)0x7f28754f, (q31_t)0x7f27bcf8,
+ (q31_t)0x7f270452, (q31_t)0x7f264b5e, (q31_t)0x7f25921c, (q31_t)0x7f24d88b, (q31_t)0x7f241eab, (q31_t)0x7f23647e, (q31_t)0x7f22aa01, (q31_t)0x7f21ef37,
+ (q31_t)0x7f21341e, (q31_t)0x7f2078b6, (q31_t)0x7f1fbd00, (q31_t)0x7f1f00fc, (q31_t)0x7f1e44a9, (q31_t)0x7f1d8808, (q31_t)0x7f1ccb18, (q31_t)0x7f1c0dda,
+ (q31_t)0x7f1b504e, (q31_t)0x7f1a9273, (q31_t)0x7f19d44a, (q31_t)0x7f1915d2, (q31_t)0x7f18570c, (q31_t)0x7f1797f8, (q31_t)0x7f16d895, (q31_t)0x7f1618e4,
+ (q31_t)0x7f1558e4, (q31_t)0x7f149896, (q31_t)0x7f13d7fa, (q31_t)0x7f13170f, (q31_t)0x7f1255d6, (q31_t)0x7f11944f, (q31_t)0x7f10d279, (q31_t)0x7f101054,
+ (q31_t)0x7f0f4de2, (q31_t)0x7f0e8b21, (q31_t)0x7f0dc811, (q31_t)0x7f0d04b3, (q31_t)0x7f0c4107, (q31_t)0x7f0b7d0d, (q31_t)0x7f0ab8c4, (q31_t)0x7f09f42d,
+ (q31_t)0x7f092f47, (q31_t)0x7f086a13, (q31_t)0x7f07a491, (q31_t)0x7f06dec0, (q31_t)0x7f0618a1, (q31_t)0x7f055233, (q31_t)0x7f048b78, (q31_t)0x7f03c46d,
+ (q31_t)0x7f02fd15, (q31_t)0x7f02356e, (q31_t)0x7f016d79, (q31_t)0x7f00a535, (q31_t)0x7effdca4, (q31_t)0x7eff13c3, (q31_t)0x7efe4a95, (q31_t)0x7efd8118,
+ (q31_t)0x7efcb74d, (q31_t)0x7efbed33, (q31_t)0x7efb22cb, (q31_t)0x7efa5815, (q31_t)0x7ef98d11, (q31_t)0x7ef8c1be, (q31_t)0x7ef7f61d, (q31_t)0x7ef72a2d,
+ (q31_t)0x7ef65def, (q31_t)0x7ef59163, (q31_t)0x7ef4c489, (q31_t)0x7ef3f760, (q31_t)0x7ef329e9, (q31_t)0x7ef25c24, (q31_t)0x7ef18e10, (q31_t)0x7ef0bfae,
+ (q31_t)0x7eeff0fe, (q31_t)0x7eef21ff, (q31_t)0x7eee52b2, (q31_t)0x7eed8317, (q31_t)0x7eecb32d, (q31_t)0x7eebe2f6, (q31_t)0x7eeb1270, (q31_t)0x7eea419b,
+ (q31_t)0x7ee97079, (q31_t)0x7ee89f08, (q31_t)0x7ee7cd49, (q31_t)0x7ee6fb3b, (q31_t)0x7ee628df, (q31_t)0x7ee55635, (q31_t)0x7ee4833d, (q31_t)0x7ee3aff6,
+ (q31_t)0x7ee2dc61, (q31_t)0x7ee2087e, (q31_t)0x7ee1344d, (q31_t)0x7ee05fcd, (q31_t)0x7edf8aff, (q31_t)0x7edeb5e3, (q31_t)0x7edde079, (q31_t)0x7edd0ac0,
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+ (q31_t)0x7ed57980, (q31_t)0x7ed4a0b9, (q31_t)0x7ed3c7a3, (q31_t)0x7ed2ee40, (q31_t)0x7ed2148e, (q31_t)0x7ed13a8e, (q31_t)0x7ed0603f, (q31_t)0x7ecf85a3,
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+ (q31_t)0x7db9de52, (q31_t)0x7db8b053, (q31_t)0x7db78207, (q31_t)0x7db6536d, (q31_t)0x7db52485, (q31_t)0x7db3f550, (q31_t)0x7db2c5cd, (q31_t)0x7db195fd,
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+ (q31_t)0x7d9d3ad6, (q31_t)0x7d9c0592, (q31_t)0x7d9ad001, (q31_t)0x7d999a23, (q31_t)0x7d9863f7, (q31_t)0x7d972d7e, (q31_t)0x7d95f6b7, (q31_t)0x7d94bfa3,
+ (q31_t)0x7d938841, (q31_t)0x7d925092, (q31_t)0x7d911896, (q31_t)0x7d8fe04c, (q31_t)0x7d8ea7b4, (q31_t)0x7d8d6ecf, (q31_t)0x7d8c359d, (q31_t)0x7d8afc1d,
+ (q31_t)0x7d89c250, (q31_t)0x7d888835, (q31_t)0x7d874dcd, (q31_t)0x7d861317, (q31_t)0x7d84d814, (q31_t)0x7d839cc4, (q31_t)0x7d826126, (q31_t)0x7d81253a,
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+ (q31_t)0x7d38da51, (q31_t)0x7d378ce0, (q31_t)0x7d363f23, (q31_t)0x7d34f118, (q31_t)0x7d33a2bf, (q31_t)0x7d32541a, (q31_t)0x7d310527, (q31_t)0x7d2fb5e7,
+ (q31_t)0x7d2e665a, (q31_t)0x7d2d1680, (q31_t)0x7d2bc659, (q31_t)0x7d2a75e4, (q31_t)0x7d292522, (q31_t)0x7d27d413, (q31_t)0x7d2682b6, (q31_t)0x7d25310d,
+ (q31_t)0x7d23df16, (q31_t)0x7d228cd2, (q31_t)0x7d213a41, (q31_t)0x7d1fe762, (q31_t)0x7d1e9437, (q31_t)0x7d1d40be, (q31_t)0x7d1becf8, (q31_t)0x7d1a98e5,
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+ (q31_t)0x7d0e96aa, (q31_t)0x7d0d3f93, (q31_t)0x7d0be82f, (q31_t)0x7d0a907e, (q31_t)0x7d093880, (q31_t)0x7d07e035, (q31_t)0x7d06879d, (q31_t)0x7d052eb8,
+ (q31_t)0x7d03d585, (q31_t)0x7d027c05, (q31_t)0x7d012239, (q31_t)0x7cffc81f, (q31_t)0x7cfe6db8, (q31_t)0x7cfd1304, (q31_t)0x7cfbb803, (q31_t)0x7cfa5cb4,
+ (q31_t)0x7cf90119, (q31_t)0x7cf7a531, (q31_t)0x7cf648fb, (q31_t)0x7cf4ec79, (q31_t)0x7cf38fa9, (q31_t)0x7cf2328c, (q31_t)0x7cf0d522, (q31_t)0x7cef776b,
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+ (q31_t)0x7ce31e72, (q31_t)0x7ce1bdb8, (q31_t)0x7ce05cb2, (q31_t)0x7cdefb5e, (q31_t)0x7cdd99be, (q31_t)0x7cdc37d0, (q31_t)0x7cdad596, (q31_t)0x7cd9730e,
+ (q31_t)0x7cd8103a, (q31_t)0x7cd6ad18, (q31_t)0x7cd549aa, (q31_t)0x7cd3e5ee, (q31_t)0x7cd281e5, (q31_t)0x7cd11d90, (q31_t)0x7ccfb8ed, (q31_t)0x7cce53fe,
+ (q31_t)0x7ccceec1, (q31_t)0x7ccb8937, (q31_t)0x7cca2361, (q31_t)0x7cc8bd3d, (q31_t)0x7cc756cd, (q31_t)0x7cc5f010, (q31_t)0x7cc48905, (q31_t)0x7cc321ae,
+ (q31_t)0x7cc1ba09, (q31_t)0x7cc05218, (q31_t)0x7cbee9da, (q31_t)0x7cbd814f, (q31_t)0x7cbc1877, (q31_t)0x7cbaaf51, (q31_t)0x7cb945df, (q31_t)0x7cb7dc20,
+ (q31_t)0x7cb67215, (q31_t)0x7cb507bc, (q31_t)0x7cb39d16, (q31_t)0x7cb23223, (q31_t)0x7cb0c6e4, (q31_t)0x7caf5b57, (q31_t)0x7cadef7e, (q31_t)0x7cac8358,
+ (q31_t)0x7cab16e4, (q31_t)0x7ca9aa24, (q31_t)0x7ca83d17, (q31_t)0x7ca6cfbd, (q31_t)0x7ca56216, (q31_t)0x7ca3f423, (q31_t)0x7ca285e2, (q31_t)0x7ca11755,
+ (q31_t)0x7c9fa87a, (q31_t)0x7c9e3953, (q31_t)0x7c9cc9df, (q31_t)0x7c9b5a1e, (q31_t)0x7c99ea10, (q31_t)0x7c9879b6, (q31_t)0x7c97090e, (q31_t)0x7c95981a,
+ (q31_t)0x7c9426d8, (q31_t)0x7c92b54a, (q31_t)0x7c91436f, (q31_t)0x7c8fd148, (q31_t)0x7c8e5ed3, (q31_t)0x7c8cec12, (q31_t)0x7c8b7903, (q31_t)0x7c8a05a8,
+ (q31_t)0x7c889200, (q31_t)0x7c871e0c, (q31_t)0x7c85a9ca, (q31_t)0x7c84353c, (q31_t)0x7c82c060, (q31_t)0x7c814b39, (q31_t)0x7c7fd5c4, (q31_t)0x7c7e6002,
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+ (q31_t)0x7b698ccd, (q31_t)0x7b67e1e0, (q31_t)0x7b6636a7, (q31_t)0x7b648b22, (q31_t)0x7b62df51, (q31_t)0x7b613334, (q31_t)0x7b5f86ca, (q31_t)0x7b5dda15,
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+ (q31_t)0x7b25f004, (q31_t)0x7b243936, (q31_t)0x7b22821b, (q31_t)0x7b20cab5, (q31_t)0x7b1f1302, (q31_t)0x7b1d5b04, (q31_t)0x7b1ba2b9, (q31_t)0x7b19ea23,
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+ (q31_t)0x7b0a5f82, (q31_t)0x7b08a3f5, (q31_t)0x7b06e81b, (q31_t)0x7b052bf6, (q31_t)0x7b036f85, (q31_t)0x7b01b2c8, (q31_t)0x7afff5bf, (q31_t)0x7afe386a,
+ (q31_t)0x7afc7aca, (q31_t)0x7afabcdd, (q31_t)0x7af8fea5, (q31_t)0x7af74021, (q31_t)0x7af58151, (q31_t)0x7af3c235, (q31_t)0x7af202cd, (q31_t)0x7af0431a,
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+ (q31_t)0x7ae07876, (q31_t)0x7adeb5cc, (q31_t)0x7adcf2d6, (q31_t)0x7adb2f95, (q31_t)0x7ad96c08, (q31_t)0x7ad7a82f, (q31_t)0x7ad5e40a, (q31_t)0x7ad41f9a,
+ (q31_t)0x7ad25ade, (q31_t)0x7ad095d6, (q31_t)0x7aced082, (q31_t)0x7acd0ae3, (q31_t)0x7acb44f8, (q31_t)0x7ac97ec1, (q31_t)0x7ac7b83e, (q31_t)0x7ac5f170,
+ (q31_t)0x7ac42a55, (q31_t)0x7ac262ef, (q31_t)0x7ac09b3e, (q31_t)0x7abed341, (q31_t)0x7abd0af7, (q31_t)0x7abb4263, (q31_t)0x7ab97982, (q31_t)0x7ab7b056,
+ (q31_t)0x7ab5e6de, (q31_t)0x7ab41d1b, (q31_t)0x7ab2530b, (q31_t)0x7ab088b0, (q31_t)0x7aaebe0a, (q31_t)0x7aacf318, (q31_t)0x7aab27da, (q31_t)0x7aa95c50,
+ (q31_t)0x7aa7907b, (q31_t)0x7aa5c45a, (q31_t)0x7aa3f7ed, (q31_t)0x7aa22b35, (q31_t)0x7aa05e31, (q31_t)0x7a9e90e1, (q31_t)0x7a9cc346, (q31_t)0x7a9af55f,
+ (q31_t)0x7a99272d, (q31_t)0x7a9758af, (q31_t)0x7a9589e5, (q31_t)0x7a93bad0, (q31_t)0x7a91eb6f, (q31_t)0x7a901bc2, (q31_t)0x7a8e4bca, (q31_t)0x7a8c7b87,
+ (q31_t)0x7a8aaaf7, (q31_t)0x7a88da1c, (q31_t)0x7a8708f6, (q31_t)0x7a853784, (q31_t)0x7a8365c6, (q31_t)0x7a8193bd, (q31_t)0x7a7fc168, (q31_t)0x7a7deec8,
+ (q31_t)0x7a7c1bdc, (q31_t)0x7a7a48a4, (q31_t)0x7a787521, (q31_t)0x7a76a153, (q31_t)0x7a74cd38, (q31_t)0x7a72f8d3, (q31_t)0x7a712422, (q31_t)0x7a6f4f25,
+ (q31_t)0x7a6d79dd, (q31_t)0x7a6ba449, (q31_t)0x7a69ce6a, (q31_t)0x7a67f83f, (q31_t)0x7a6621c9, (q31_t)0x7a644b07, (q31_t)0x7a6273fa, (q31_t)0x7a609ca1,
+ (q31_t)0x7a5ec4fc, (q31_t)0x7a5ced0d, (q31_t)0x7a5b14d1, (q31_t)0x7a593c4b, (q31_t)0x7a576379, (q31_t)0x7a558a5b, (q31_t)0x7a53b0f2, (q31_t)0x7a51d73d,
+ (q31_t)0x7a4ffd3d, (q31_t)0x7a4e22f2, (q31_t)0x7a4c485b, (q31_t)0x7a4a6d78, (q31_t)0x7a48924b, (q31_t)0x7a46b6d1, (q31_t)0x7a44db0d, (q31_t)0x7a42fefd,
+ (q31_t)0x7a4122a1, (q31_t)0x7a3f45fa, (q31_t)0x7a3d6908, (q31_t)0x7a3b8bca, (q31_t)0x7a39ae41, (q31_t)0x7a37d06d, (q31_t)0x7a35f24d, (q31_t)0x7a3413e2,
+ (q31_t)0x7a32352b, (q31_t)0x7a305629, (q31_t)0x7a2e76dc, (q31_t)0x7a2c9743, (q31_t)0x7a2ab75f, (q31_t)0x7a28d72f, (q31_t)0x7a26f6b4, (q31_t)0x7a2515ee,
+ (q31_t)0x7a2334dd, (q31_t)0x7a215380, (q31_t)0x7a1f71d7, (q31_t)0x7a1d8fe4, (q31_t)0x7a1bada5, (q31_t)0x7a19cb1b, (q31_t)0x7a17e845, (q31_t)0x7a160524,
+ (q31_t)0x7a1421b8, (q31_t)0x7a123e01, (q31_t)0x7a1059fe, (q31_t)0x7a0e75b0, (q31_t)0x7a0c9117, (q31_t)0x7a0aac32, (q31_t)0x7a08c702, (q31_t)0x7a06e187,
+ (q31_t)0x7a04fbc1, (q31_t)0x7a0315af, (q31_t)0x7a012f52, (q31_t)0x79ff48aa, (q31_t)0x79fd61b6, (q31_t)0x79fb7a77, (q31_t)0x79f992ed, (q31_t)0x79f7ab18,
+ (q31_t)0x79f5c2f8, (q31_t)0x79f3da8c, (q31_t)0x79f1f1d5, (q31_t)0x79f008d3, (q31_t)0x79ee1f86, (q31_t)0x79ec35ed, (q31_t)0x79ea4c09, (q31_t)0x79e861da,
+ (q31_t)0x79e67760, (q31_t)0x79e48c9b, (q31_t)0x79e2a18a, (q31_t)0x79e0b62e, (q31_t)0x79deca87, (q31_t)0x79dcde95, (q31_t)0x79daf258, (q31_t)0x79d905d0,
+ (q31_t)0x79d718fc, (q31_t)0x79d52bdd, (q31_t)0x79d33e73, (q31_t)0x79d150be, (q31_t)0x79cf62be, (q31_t)0x79cd7473, (q31_t)0x79cb85dc, (q31_t)0x79c996fb,
+ (q31_t)0x79c7a7ce, (q31_t)0x79c5b856, (q31_t)0x79c3c893, (q31_t)0x79c1d885, (q31_t)0x79bfe82c, (q31_t)0x79bdf788, (q31_t)0x79bc0698, (q31_t)0x79ba155e,
+ (q31_t)0x79b823d8, (q31_t)0x79b63207, (q31_t)0x79b43fec, (q31_t)0x79b24d85, (q31_t)0x79b05ad3, (q31_t)0x79ae67d6, (q31_t)0x79ac748e, (q31_t)0x79aa80fb,
+ (q31_t)0x79a88d1d, (q31_t)0x79a698f4, (q31_t)0x79a4a480, (q31_t)0x79a2afc1, (q31_t)0x79a0bab6, (q31_t)0x799ec561, (q31_t)0x799ccfc1, (q31_t)0x799ad9d5,
+ (q31_t)0x7998e39f, (q31_t)0x7996ed1e, (q31_t)0x7994f651, (q31_t)0x7992ff3a, (q31_t)0x799107d8, (q31_t)0x798f102a, (q31_t)0x798d1832, (q31_t)0x798b1fef,
+ (q31_t)0x79892761, (q31_t)0x79872e87, (q31_t)0x79853563, (q31_t)0x79833bf4, (q31_t)0x7981423a, (q31_t)0x797f4835, (q31_t)0x797d4de5, (q31_t)0x797b534a,
+ (q31_t)0x79795864, (q31_t)0x79775d33, (q31_t)0x797561b8, (q31_t)0x797365f1, (q31_t)0x797169df, (q31_t)0x796f6d83, (q31_t)0x796d70dc, (q31_t)0x796b73e9,
+ (q31_t)0x796976ac, (q31_t)0x79677924, (q31_t)0x79657b51, (q31_t)0x79637d33, (q31_t)0x79617eca, (q31_t)0x795f8017, (q31_t)0x795d8118, (q31_t)0x795b81cf,
+ (q31_t)0x7959823b, (q31_t)0x7957825c, (q31_t)0x79558232, (q31_t)0x795381bd, (q31_t)0x795180fe, (q31_t)0x794f7ff3, (q31_t)0x794d7e9e, (q31_t)0x794b7cfe,
+ (q31_t)0x79497b13, (q31_t)0x794778dd, (q31_t)0x7945765d, (q31_t)0x79437391, (q31_t)0x7941707b, (q31_t)0x793f6d1a, (q31_t)0x793d696f, (q31_t)0x793b6578,
+ (q31_t)0x79396137, (q31_t)0x79375cab, (q31_t)0x793557d4, (q31_t)0x793352b2, (q31_t)0x79314d46, (q31_t)0x792f478f, (q31_t)0x792d418d, (q31_t)0x792b3b40,
+ (q31_t)0x792934a9, (q31_t)0x79272dc7, (q31_t)0x7925269a, (q31_t)0x79231f22, (q31_t)0x79211760, (q31_t)0x791f0f53, (q31_t)0x791d06fb, (q31_t)0x791afe59,
+ (q31_t)0x7918f56c, (q31_t)0x7916ec34, (q31_t)0x7914e2b2, (q31_t)0x7912d8e4, (q31_t)0x7910cecc, (q31_t)0x790ec46a, (q31_t)0x790cb9bd, (q31_t)0x790aaec5,
+ (q31_t)0x7908a382, (q31_t)0x790697f5, (q31_t)0x79048c1d, (q31_t)0x79027ffa, (q31_t)0x7900738d, (q31_t)0x78fe66d5, (q31_t)0x78fc59d3, (q31_t)0x78fa4c86,
+ (q31_t)0x78f83eee, (q31_t)0x78f6310c, (q31_t)0x78f422df, (q31_t)0x78f21467, (q31_t)0x78f005a5, (q31_t)0x78edf698, (q31_t)0x78ebe741, (q31_t)0x78e9d79f,
+ (q31_t)0x78e7c7b2, (q31_t)0x78e5b77b, (q31_t)0x78e3a6f9, (q31_t)0x78e1962d, (q31_t)0x78df8516, (q31_t)0x78dd73b5, (q31_t)0x78db6209, (q31_t)0x78d95012,
+ (q31_t)0x78d73dd1, (q31_t)0x78d52b46, (q31_t)0x78d31870, (q31_t)0x78d1054f, (q31_t)0x78cef1e4, (q31_t)0x78ccde2e, (q31_t)0x78caca2e, (q31_t)0x78c8b5e3,
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+ (q31_t)0x70218cc6, (q31_t)0x701e84e9, (q31_t)0x701b7cc8, (q31_t)0x70187461, (q31_t)0x70156bb5, (q31_t)0x701262c4, (q31_t)0x700f598e, (q31_t)0x700c5013,
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+ (q31_t)0x6e48d633, (q31_t)0x6e45a59c, (q31_t)0x6e4274c1, (q31_t)0x6e3f43a1, (q31_t)0x6e3c123e, (q31_t)0x6e38e096, (q31_t)0x6e35aeab, (q31_t)0x6e327c7b,
+ (q31_t)0x6e2f4a08, (q31_t)0x6e2c1750, (q31_t)0x6e28e455, (q31_t)0x6e25b115, (q31_t)0x6e227d92, (q31_t)0x6e1f49cb, (q31_t)0x6e1c15c0, (q31_t)0x6e18e171,
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+ (q31_t)0x6dc86f95, (q31_t)0x6dc53462, (q31_t)0x6dc1f8ec, (q31_t)0x6dbebd33, (q31_t)0x6dbb8135, (q31_t)0x6db844f4, (q31_t)0x6db5086f, (q31_t)0x6db1cba7,
+ (q31_t)0x6dae8e9b, (q31_t)0x6dab514b, (q31_t)0x6da813b8, (q31_t)0x6da4d5e1, (q31_t)0x6da197c6, (q31_t)0x6d9e5968, (q31_t)0x6d9b1ac6, (q31_t)0x6d97dbe0,
+ (q31_t)0x6d949cb7, (q31_t)0x6d915d4a, (q31_t)0x6d8e1d9a, (q31_t)0x6d8adda6, (q31_t)0x6d879d6e, (q31_t)0x6d845cf3, (q31_t)0x6d811c35, (q31_t)0x6d7ddb33,
+ (q31_t)0x6d7a99ed, (q31_t)0x6d775864, (q31_t)0x6d741697, (q31_t)0x6d70d487, (q31_t)0x6d6d9233, (q31_t)0x6d6a4f9c, (q31_t)0x6d670cc1, (q31_t)0x6d63c9a3,
+ (q31_t)0x6d608641, (q31_t)0x6d5d429c, (q31_t)0x6d59feb3, (q31_t)0x6d56ba87, (q31_t)0x6d537617, (q31_t)0x6d503164, (q31_t)0x6d4cec6e, (q31_t)0x6d49a734,
+ (q31_t)0x6d4661b7, (q31_t)0x6d431bf6, (q31_t)0x6d3fd5f2, (q31_t)0x6d3c8fab, (q31_t)0x6d394920, (q31_t)0x6d360252, (q31_t)0x6d32bb40, (q31_t)0x6d2f73eb,
+ (q31_t)0x6d2c2c53, (q31_t)0x6d28e477, (q31_t)0x6d259c58, (q31_t)0x6d2253f6, (q31_t)0x6d1f0b50, (q31_t)0x6d1bc267, (q31_t)0x6d18793b, (q31_t)0x6d152fcc,
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+ (q31_t)0x64898b22, (q31_t)0x6485a778, (q31_t)0x6481c390, (q31_t)0x647ddf6a, (q31_t)0x6479fb06, (q31_t)0x64761664, (q31_t)0x64723184, (q31_t)0x646e4c66,
+ (q31_t)0x646a670a, (q31_t)0x64668170, (q31_t)0x64629b98, (q31_t)0x645eb582, (q31_t)0x645acf2e, (q31_t)0x6456e89d, (q31_t)0x645301cd, (q31_t)0x644f1ac0,
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+ (q31_t)0x63ed3bfd, (q31_t)0x63e94eaa, (q31_t)0x63e5611a, (q31_t)0x63e1734b, (q31_t)0x63dd853f, (q31_t)0x63d996f6, (q31_t)0x63d5a86f, (q31_t)0x63d1b9aa,
+ (q31_t)0x63cdcaa8, (q31_t)0x63c9db68, (q31_t)0x63c5ebeb, (q31_t)0x63c1fc30, (q31_t)0x63be0c37, (q31_t)0x63ba1c01, (q31_t)0x63b62b8e, (q31_t)0x63b23add,
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+ (q31_t)0x638eb9d5, (q31_t)0x638ac6be, (q31_t)0x6386d369, (q31_t)0x6382dfd6, (q31_t)0x637eec07, (q31_t)0x637af7fa, (q31_t)0x637703af, (q31_t)0x63730f27,
+ (q31_t)0x636f1a62, (q31_t)0x636b2560, (q31_t)0x63673020, (q31_t)0x63633aa3, (q31_t)0x635f44e8, (q31_t)0x635b4ef0, (q31_t)0x635758bb, (q31_t)0x63536249,
+ (q31_t)0x634f6b99, (q31_t)0x634b74ad, (q31_t)0x63477d82, (q31_t)0x6343861b, (q31_t)0x633f8e76, (q31_t)0x633b9695, (q31_t)0x63379e76, (q31_t)0x6333a619,
+ (q31_t)0x632fad80, (q31_t)0x632bb4a9, (q31_t)0x6327bb96, (q31_t)0x6323c245, (q31_t)0x631fc8b7, (q31_t)0x631bceeb, (q31_t)0x6317d4e3, (q31_t)0x6313da9e,
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+ (q31_t)0x61eefa6b, (q31_t)0x61eaee95, (q31_t)0x61e6e282, (q31_t)0x61e2d633, (q31_t)0x61dec9a8, (q31_t)0x61dabce0, (q31_t)0x61d6afdd, (q31_t)0x61d2a29c,
+ (q31_t)0x61ce9520, (q31_t)0x61ca8767, (q31_t)0x61c67971, (q31_t)0x61c26b40, (q31_t)0x61be5cd2, (q31_t)0x61ba4e28, (q31_t)0x61b63f41, (q31_t)0x61b2301e,
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+ (q31_t)0x610af94f, (q31_t)0x6106e051, (q31_t)0x6102c718, (q31_t)0x60feada3, (q31_t)0x60fa93f2, (q31_t)0x60f67a05, (q31_t)0x60f25fdd, (q31_t)0x60ee4579,
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+ (q31_t)0x60a8611b, (q31_t)0x60a44284, (q31_t)0x60a023b1, (q31_t)0x609c04a3, (q31_t)0x6097e559, (q31_t)0x6093c5d3, (q31_t)0x608fa612, (q31_t)0x608b8616,
+ (q31_t)0x608765dd, (q31_t)0x6083456a, (q31_t)0x607f24ba, (q31_t)0x607b03d0, (q31_t)0x6076e2a9, (q31_t)0x6072c148, (q31_t)0x606e9faa, (q31_t)0x606a7dd2,
+ (q31_t)0x60665bbd, (q31_t)0x6062396e, (q31_t)0x605e16e2, (q31_t)0x6059f41c, (q31_t)0x6055d11a, (q31_t)0x6051addc, (q31_t)0x604d8a63, (q31_t)0x604966af,
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+ (q31_t)0x60241ae9, (q31_t)0x601ff4e3, (q31_t)0x601bcea2, (q31_t)0x6017a826, (q31_t)0x6013816e, (q31_t)0x600f5a7b, (q31_t)0x600b334d, (q31_t)0x60070be4,
+ (q31_t)0x6002e43f, (q31_t)0x5ffebc5f, (q31_t)0x5ffa9444, (q31_t)0x5ff66bee, (q31_t)0x5ff2435d, (q31_t)0x5fee1a90, (q31_t)0x5fe9f188, (q31_t)0x5fe5c845,
+ (q31_t)0x5fe19ec7, (q31_t)0x5fdd750e, (q31_t)0x5fd94b19, (q31_t)0x5fd520ea, (q31_t)0x5fd0f67f, (q31_t)0x5fcccbd9, (q31_t)0x5fc8a0f8, (q31_t)0x5fc475dc,
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+ (q31_t)0x5f7d75bb, (q31_t)0x5f794679, (q31_t)0x5f7516fd, (q31_t)0x5f70e745, (q31_t)0x5f6cb753, (q31_t)0x5f688726, (q31_t)0x5f6456be, (q31_t)0x5f60261b,
+ (q31_t)0x5f5bf53d, (q31_t)0x5f57c424, (q31_t)0x5f5392d1, (q31_t)0x5f4f6143, (q31_t)0x5f4b2f7a, (q31_t)0x5f46fd76, (q31_t)0x5f42cb37, (q31_t)0x5f3e98be,
+ (q31_t)0x5f3a660a, (q31_t)0x5f36331b, (q31_t)0x5f31fff1, (q31_t)0x5f2dcc8d, (q31_t)0x5f2998ee, (q31_t)0x5f256515, (q31_t)0x5f213100, (q31_t)0x5f1cfcb1,
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+ (q31_t)0x5ef71b9b, (q31_t)0x5ef2e501, (q31_t)0x5eeeae2d, (q31_t)0x5eea771f, (q31_t)0x5ee63fd6, (q31_t)0x5ee20853, (q31_t)0x5eddd094, (q31_t)0x5ed9989c,
+ (q31_t)0x5ed56069, (q31_t)0x5ed127fb, (q31_t)0x5eccef53, (q31_t)0x5ec8b671, (q31_t)0x5ec47d54, (q31_t)0x5ec043fc, (q31_t)0x5ebc0a6a, (q31_t)0x5eb7d09e,
+ (q31_t)0x5eb39697, (q31_t)0x5eaf5c56, (q31_t)0x5eab21da, (q31_t)0x5ea6e724, (q31_t)0x5ea2ac34, (q31_t)0x5e9e7109, (q31_t)0x5e9a35a4, (q31_t)0x5e95fa05,
+ (q31_t)0x5e91be2b, (q31_t)0x5e8d8217, (q31_t)0x5e8945c8, (q31_t)0x5e85093f, (q31_t)0x5e80cc7c, (q31_t)0x5e7c8f7f, (q31_t)0x5e785247, (q31_t)0x5e7414d5,
+ (q31_t)0x5e6fd729, (q31_t)0x5e6b9943, (q31_t)0x5e675b22, (q31_t)0x5e631cc7, (q31_t)0x5e5ede32, (q31_t)0x5e5a9f62, (q31_t)0x5e566059, (q31_t)0x5e522115,
+ (q31_t)0x5e4de197, (q31_t)0x5e49a1df, (q31_t)0x5e4561ed, (q31_t)0x5e4121c0, (q31_t)0x5e3ce15a, (q31_t)0x5e38a0b9, (q31_t)0x5e345fde, (q31_t)0x5e301ec9,
+ (q31_t)0x5e2bdd7a, (q31_t)0x5e279bf1, (q31_t)0x5e235a2e, (q31_t)0x5e1f1830, (q31_t)0x5e1ad5f9, (q31_t)0x5e169388, (q31_t)0x5e1250dc, (q31_t)0x5e0e0df7,
+ (q31_t)0x5e09cad7, (q31_t)0x5e05877e, (q31_t)0x5e0143ea, (q31_t)0x5dfd001d, (q31_t)0x5df8bc15, (q31_t)0x5df477d4, (q31_t)0x5df03359, (q31_t)0x5debeea3,
+ (q31_t)0x5de7a9b4, (q31_t)0x5de3648b, (q31_t)0x5ddf1f28, (q31_t)0x5ddad98b, (q31_t)0x5dd693b4, (q31_t)0x5dd24da3, (q31_t)0x5dce0759, (q31_t)0x5dc9c0d4,
+ (q31_t)0x5dc57a16, (q31_t)0x5dc1331d, (q31_t)0x5dbcebeb, (q31_t)0x5db8a480, (q31_t)0x5db45cda, (q31_t)0x5db014fa, (q31_t)0x5dabcce1, (q31_t)0x5da7848e,
+ (q31_t)0x5da33c01, (q31_t)0x5d9ef33b, (q31_t)0x5d9aaa3a, (q31_t)0x5d966100, (q31_t)0x5d92178d, (q31_t)0x5d8dcddf, (q31_t)0x5d8983f8, (q31_t)0x5d8539d7,
+ (q31_t)0x5d80ef7c, (q31_t)0x5d7ca4e8, (q31_t)0x5d785a1a, (q31_t)0x5d740f12, (q31_t)0x5d6fc3d1, (q31_t)0x5d6b7856, (q31_t)0x5d672ca2, (q31_t)0x5d62e0b4,
+ (q31_t)0x5d5e948c, (q31_t)0x5d5a482a, (q31_t)0x5d55fb90, (q31_t)0x5d51aebb, (q31_t)0x5d4d61ad, (q31_t)0x5d491465, (q31_t)0x5d44c6e4, (q31_t)0x5d40792a,
+ (q31_t)0x5d3c2b35, (q31_t)0x5d37dd08, (q31_t)0x5d338ea0, (q31_t)0x5d2f4000, (q31_t)0x5d2af125, (q31_t)0x5d26a212, (q31_t)0x5d2252c5, (q31_t)0x5d1e033e,
+ (q31_t)0x5d19b37e, (q31_t)0x5d156385, (q31_t)0x5d111352, (q31_t)0x5d0cc2e5, (q31_t)0x5d087240, (q31_t)0x5d042161, (q31_t)0x5cffd048, (q31_t)0x5cfb7ef7,
+ (q31_t)0x5cf72d6b, (q31_t)0x5cf2dba7, (q31_t)0x5cee89a9, (q31_t)0x5cea3772, (q31_t)0x5ce5e501, (q31_t)0x5ce19258, (q31_t)0x5cdd3f75, (q31_t)0x5cd8ec58,
+ (q31_t)0x5cd49903, (q31_t)0x5cd04574, (q31_t)0x5ccbf1ab, (q31_t)0x5cc79daa, (q31_t)0x5cc3496f, (q31_t)0x5cbef4fc, (q31_t)0x5cbaa04f, (q31_t)0x5cb64b68,
+ (q31_t)0x5cb1f649, (q31_t)0x5cada0f0, (q31_t)0x5ca94b5e, (q31_t)0x5ca4f594, (q31_t)0x5ca09f8f, (q31_t)0x5c9c4952, (q31_t)0x5c97f2dc, (q31_t)0x5c939c2c,
+ (q31_t)0x5c8f4544, (q31_t)0x5c8aee22, (q31_t)0x5c8696c7, (q31_t)0x5c823f34, (q31_t)0x5c7de767, (q31_t)0x5c798f61, (q31_t)0x5c753722, (q31_t)0x5c70deaa,
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+ (q31_t)0x528d1b9b, (q31_t)0x52884e3a, (q31_t)0x528380a7, (q31_t)0x527eb2e0, (q31_t)0x5279e4e7, (q31_t)0x527516bb, (q31_t)0x5270485c, (q31_t)0x526b79ca,
+ (q31_t)0x5266ab06, (q31_t)0x5261dc0e, (q31_t)0x525d0ce4, (q31_t)0x52583d87, (q31_t)0x52536df7, (q31_t)0x524e9e34, (q31_t)0x5249ce3f, (q31_t)0x5244fe17,
+ (q31_t)0x52402dbc, (q31_t)0x523b5d2e, (q31_t)0x52368c6e, (q31_t)0x5231bb7b, (q31_t)0x522cea55, (q31_t)0x522818fc, (q31_t)0x52234771, (q31_t)0x521e75b3,
+ (q31_t)0x5219a3c3, (q31_t)0x5214d1a0, (q31_t)0x520fff4a, (q31_t)0x520b2cc2, (q31_t)0x52065a07, (q31_t)0x52018719, (q31_t)0x51fcb3f9, (q31_t)0x51f7e0a6,
+ (q31_t)0x51f30d21, (q31_t)0x51ee3969, (q31_t)0x51e9657e, (q31_t)0x51e49162, (q31_t)0x51dfbd12, (q31_t)0x51dae890, (q31_t)0x51d613dc, (q31_t)0x51d13ef5,
+ (q31_t)0x51cc69db, (q31_t)0x51c79490, (q31_t)0x51c2bf11, (q31_t)0x51bde960, (q31_t)0x51b9137d, (q31_t)0x51b43d68, (q31_t)0x51af6720, (q31_t)0x51aa90a5,
+ (q31_t)0x51a5b9f9, (q31_t)0x51a0e31a, (q31_t)0x519c0c08, (q31_t)0x519734c4, (q31_t)0x51925d4e, (q31_t)0x518d85a6, (q31_t)0x5188adcb, (q31_t)0x5183d5be,
+ (q31_t)0x517efd7f, (q31_t)0x517a250d, (q31_t)0x51754c69, (q31_t)0x51707393, (q31_t)0x516b9a8b, (q31_t)0x5166c150, (q31_t)0x5161e7e4, (q31_t)0x515d0e45,
+ (q31_t)0x51583473, (q31_t)0x51535a70, (q31_t)0x514e803b, (q31_t)0x5149a5d3, (q31_t)0x5144cb39, (q31_t)0x513ff06d, (q31_t)0x513b156f, (q31_t)0x51363a3f,
+ (q31_t)0x51315edd, (q31_t)0x512c8348, (q31_t)0x5127a782, (q31_t)0x5122cb8a, (q31_t)0x511def5f, (q31_t)0x51191302, (q31_t)0x51143674, (q31_t)0x510f59b3,
+ (q31_t)0x510a7cc1, (q31_t)0x51059f9c, (q31_t)0x5100c246, (q31_t)0x50fbe4bd, (q31_t)0x50f70703, (q31_t)0x50f22916, (q31_t)0x50ed4af8, (q31_t)0x50e86ca8,
+ (q31_t)0x50e38e25, (q31_t)0x50deaf71, (q31_t)0x50d9d08b, (q31_t)0x50d4f173, (q31_t)0x50d0122a, (q31_t)0x50cb32ae, (q31_t)0x50c65301, (q31_t)0x50c17322,
+ (q31_t)0x50bc9311, (q31_t)0x50b7b2ce, (q31_t)0x50b2d259, (q31_t)0x50adf1b3, (q31_t)0x50a910db, (q31_t)0x50a42fd1, (q31_t)0x509f4e95, (q31_t)0x509a6d28,
+ (q31_t)0x50958b88, (q31_t)0x5090a9b8, (q31_t)0x508bc7b5, (q31_t)0x5086e581, (q31_t)0x5082031b, (q31_t)0x507d2083, (q31_t)0x50783dba, (q31_t)0x50735abf,
+ (q31_t)0x506e7793, (q31_t)0x50699435, (q31_t)0x5064b0a5, (q31_t)0x505fcce4, (q31_t)0x505ae8f1, (q31_t)0x505604cd, (q31_t)0x50512077, (q31_t)0x504c3bef,
+ (q31_t)0x50475736, (q31_t)0x5042724c, (q31_t)0x503d8d30, (q31_t)0x5038a7e2, (q31_t)0x5033c263, (q31_t)0x502edcb2, (q31_t)0x5029f6d1, (q31_t)0x502510bd,
+ (q31_t)0x50202a78, (q31_t)0x501b4402, (q31_t)0x50165d5a, (q31_t)0x50117681, (q31_t)0x500c8f77, (q31_t)0x5007a83b, (q31_t)0x5002c0cd, (q31_t)0x4ffdd92f,
+ (q31_t)0x4ff8f15f, (q31_t)0x4ff4095e, (q31_t)0x4fef212b, (q31_t)0x4fea38c7, (q31_t)0x4fe55032, (q31_t)0x4fe0676c, (q31_t)0x4fdb7e74, (q31_t)0x4fd6954b,
+ (q31_t)0x4fd1abf0, (q31_t)0x4fccc265, (q31_t)0x4fc7d8a8, (q31_t)0x4fc2eeba, (q31_t)0x4fbe049b, (q31_t)0x4fb91a4b, (q31_t)0x4fb42fc9, (q31_t)0x4faf4517,
+ (q31_t)0x4faa5a33, (q31_t)0x4fa56f1e, (q31_t)0x4fa083d8, (q31_t)0x4f9b9861, (q31_t)0x4f96acb8, (q31_t)0x4f91c0df, (q31_t)0x4f8cd4d4, (q31_t)0x4f87e899,
+ (q31_t)0x4f82fc2c, (q31_t)0x4f7e0f8f, (q31_t)0x4f7922c0, (q31_t)0x4f7435c0, (q31_t)0x4f6f488f, (q31_t)0x4f6a5b2e, (q31_t)0x4f656d9b, (q31_t)0x4f607fd7,
+ (q31_t)0x4f5b91e3, (q31_t)0x4f56a3bd, (q31_t)0x4f51b566, (q31_t)0x4f4cc6df, (q31_t)0x4f47d827, (q31_t)0x4f42e93d, (q31_t)0x4f3dfa23, (q31_t)0x4f390ad8,
+ (q31_t)0x4f341b5c, (q31_t)0x4f2f2baf, (q31_t)0x4f2a3bd2, (q31_t)0x4f254bc3, (q31_t)0x4f205b84, (q31_t)0x4f1b6b14, (q31_t)0x4f167a73, (q31_t)0x4f1189a1,
+ (q31_t)0x4f0c989f, (q31_t)0x4f07a76b, (q31_t)0x4f02b608, (q31_t)0x4efdc473, (q31_t)0x4ef8d2ad, (q31_t)0x4ef3e0b7, (q31_t)0x4eeeee90, (q31_t)0x4ee9fc39,
+ (q31_t)0x4ee509b1, (q31_t)0x4ee016f8, (q31_t)0x4edb240e, (q31_t)0x4ed630f4, (q31_t)0x4ed13da9, (q31_t)0x4ecc4a2e, (q31_t)0x4ec75682, (q31_t)0x4ec262a5,
+ (q31_t)0x4ebd6e98, (q31_t)0x4eb87a5a, (q31_t)0x4eb385ec, (q31_t)0x4eae914d, (q31_t)0x4ea99c7d, (q31_t)0x4ea4a77d, (q31_t)0x4e9fb24d, (q31_t)0x4e9abcec,
+ (q31_t)0x4e95c75b, (q31_t)0x4e90d199, (q31_t)0x4e8bdba6, (q31_t)0x4e86e583, (q31_t)0x4e81ef30, (q31_t)0x4e7cf8ac, (q31_t)0x4e7801f8, (q31_t)0x4e730b14,
+ (q31_t)0x4e6e13ff, (q31_t)0x4e691cba, (q31_t)0x4e642544, (q31_t)0x4e5f2d9e, (q31_t)0x4e5a35c7, (q31_t)0x4e553dc1, (q31_t)0x4e50458a, (q31_t)0x4e4b4d22,
+ (q31_t)0x4e46548b, (q31_t)0x4e415bc3, (q31_t)0x4e3c62cb, (q31_t)0x4e3769a2, (q31_t)0x4e32704a, (q31_t)0x4e2d76c1, (q31_t)0x4e287d08, (q31_t)0x4e23831e,
+ (q31_t)0x4e1e8905, (q31_t)0x4e198ebb, (q31_t)0x4e149441, (q31_t)0x4e0f9997, (q31_t)0x4e0a9ebd, (q31_t)0x4e05a3b2, (q31_t)0x4e00a878, (q31_t)0x4dfbad0d,
+ (q31_t)0x4df6b173, (q31_t)0x4df1b5a8, (q31_t)0x4decb9ad, (q31_t)0x4de7bd82, (q31_t)0x4de2c127, (q31_t)0x4dddc49c, (q31_t)0x4dd8c7e1, (q31_t)0x4dd3caf6,
+ (q31_t)0x4dcecdda, (q31_t)0x4dc9d08f, (q31_t)0x4dc4d314, (q31_t)0x4dbfd569, (q31_t)0x4dbad78e, (q31_t)0x4db5d983, (q31_t)0x4db0db48, (q31_t)0x4dabdcdd,
+ (q31_t)0x4da6de43, (q31_t)0x4da1df78, (q31_t)0x4d9ce07d, (q31_t)0x4d97e153, (q31_t)0x4d92e1f9, (q31_t)0x4d8de26f, (q31_t)0x4d88e2b5, (q31_t)0x4d83e2cb,
+ (q31_t)0x4d7ee2b1, (q31_t)0x4d79e268, (q31_t)0x4d74e1ef, (q31_t)0x4d6fe146, (q31_t)0x4d6ae06d, (q31_t)0x4d65df64, (q31_t)0x4d60de2c, (q31_t)0x4d5bdcc4,
+ (q31_t)0x4d56db2d, (q31_t)0x4d51d965, (q31_t)0x4d4cd76e, (q31_t)0x4d47d547, (q31_t)0x4d42d2f1, (q31_t)0x4d3dd06b, (q31_t)0x4d38cdb5, (q31_t)0x4d33cad0,
+ (q31_t)0x4d2ec7bb, (q31_t)0x4d29c476, (q31_t)0x4d24c102, (q31_t)0x4d1fbd5e, (q31_t)0x4d1ab98b, (q31_t)0x4d15b588, (q31_t)0x4d10b155, (q31_t)0x4d0bacf3,
+ (q31_t)0x4d06a862, (q31_t)0x4d01a3a0, (q31_t)0x4cfc9eb0, (q31_t)0x4cf79990, (q31_t)0x4cf29440, (q31_t)0x4ced8ec1, (q31_t)0x4ce88913, (q31_t)0x4ce38335,
+ (q31_t)0x4cde7d28, (q31_t)0x4cd976eb, (q31_t)0x4cd4707f, (q31_t)0x4ccf69e3, (q31_t)0x4cca6318, (q31_t)0x4cc55c1e, (q31_t)0x4cc054f4, (q31_t)0x4cbb4d9b,
+ (q31_t)0x4cb64613, (q31_t)0x4cb13e5b, (q31_t)0x4cac3674, (q31_t)0x4ca72e5e, (q31_t)0x4ca22619, (q31_t)0x4c9d1da4, (q31_t)0x4c981500, (q31_t)0x4c930c2d,
+ (q31_t)0x4c8e032a, (q31_t)0x4c88f9f8, (q31_t)0x4c83f097, (q31_t)0x4c7ee707, (q31_t)0x4c79dd48, (q31_t)0x4c74d359, (q31_t)0x4c6fc93b, (q31_t)0x4c6abeef,
+ (q31_t)0x4c65b473, (q31_t)0x4c60a9c8, (q31_t)0x4c5b9eed, (q31_t)0x4c5693e4, (q31_t)0x4c5188ac, (q31_t)0x4c4c7d44, (q31_t)0x4c4771ae, (q31_t)0x4c4265e8,
+ (q31_t)0x4c3d59f3, (q31_t)0x4c384dd0, (q31_t)0x4c33417d, (q31_t)0x4c2e34fb, (q31_t)0x4c29284b, (q31_t)0x4c241b6b, (q31_t)0x4c1f0e5c, (q31_t)0x4c1a011f,
+ (q31_t)0x4c14f3b2, (q31_t)0x4c0fe617, (q31_t)0x4c0ad84c, (q31_t)0x4c05ca53, (q31_t)0x4c00bc2b, (q31_t)0x4bfbadd4, (q31_t)0x4bf69f4e, (q31_t)0x4bf19099,
+ (q31_t)0x4bec81b5, (q31_t)0x4be772a3, (q31_t)0x4be26362, (q31_t)0x4bdd53f2, (q31_t)0x4bd84453, (q31_t)0x4bd33485, (q31_t)0x4bce2488, (q31_t)0x4bc9145d,
+ (q31_t)0x4bc40403, (q31_t)0x4bbef37b, (q31_t)0x4bb9e2c3, (q31_t)0x4bb4d1dd, (q31_t)0x4bafc0c8, (q31_t)0x4baaaf85, (q31_t)0x4ba59e12, (q31_t)0x4ba08c72,
+ (q31_t)0x4b9b7aa2, (q31_t)0x4b9668a4, (q31_t)0x4b915677, (q31_t)0x4b8c441c, (q31_t)0x4b873192, (q31_t)0x4b821ed9, (q31_t)0x4b7d0bf2, (q31_t)0x4b77f8dc,
+ (q31_t)0x4b72e598, (q31_t)0x4b6dd225, (q31_t)0x4b68be84, (q31_t)0x4b63aab4, (q31_t)0x4b5e96b6, (q31_t)0x4b598289, (q31_t)0x4b546e2d, (q31_t)0x4b4f59a4,
+ (q31_t)0x4b4a44eb, (q31_t)0x4b453005, (q31_t)0x4b401aef, (q31_t)0x4b3b05ac, (q31_t)0x4b35f03a, (q31_t)0x4b30da9a, (q31_t)0x4b2bc4cb, (q31_t)0x4b26aece,
+ (q31_t)0x4b2198a2, (q31_t)0x4b1c8248, (q31_t)0x4b176bc0, (q31_t)0x4b12550a, (q31_t)0x4b0d3e25, (q31_t)0x4b082712, (q31_t)0x4b030fd1, (q31_t)0x4afdf861,
+ (q31_t)0x4af8e0c3, (q31_t)0x4af3c8f7, (q31_t)0x4aeeb0fd, (q31_t)0x4ae998d4, (q31_t)0x4ae4807d, (q31_t)0x4adf67f8, (q31_t)0x4ada4f45, (q31_t)0x4ad53664,
+ (q31_t)0x4ad01d54, (q31_t)0x4acb0417, (q31_t)0x4ac5eaab, (q31_t)0x4ac0d111, (q31_t)0x4abbb749, (q31_t)0x4ab69d53, (q31_t)0x4ab1832f, (q31_t)0x4aac68dc,
+ (q31_t)0x4aa74e5c, (q31_t)0x4aa233ae, (q31_t)0x4a9d18d1, (q31_t)0x4a97fdc7, (q31_t)0x4a92e28e, (q31_t)0x4a8dc728, (q31_t)0x4a88ab93, (q31_t)0x4a838fd1,
+ (q31_t)0x4a7e73e0, (q31_t)0x4a7957c2, (q31_t)0x4a743b76, (q31_t)0x4a6f1efc, (q31_t)0x4a6a0253, (q31_t)0x4a64e57d, (q31_t)0x4a5fc879, (q31_t)0x4a5aab48,
+ (q31_t)0x4a558de8, (q31_t)0x4a50705a, (q31_t)0x4a4b529f, (q31_t)0x4a4634b6, (q31_t)0x4a41169f, (q31_t)0x4a3bf85a, (q31_t)0x4a36d9e7, (q31_t)0x4a31bb47,
+ (q31_t)0x4a2c9c79, (q31_t)0x4a277d7d, (q31_t)0x4a225e53, (q31_t)0x4a1d3efc, (q31_t)0x4a181f77, (q31_t)0x4a12ffc4, (q31_t)0x4a0ddfe4, (q31_t)0x4a08bfd5,
+ (q31_t)0x4a039f9a, (q31_t)0x49fe7f30, (q31_t)0x49f95e99, (q31_t)0x49f43dd4, (q31_t)0x49ef1ce2, (q31_t)0x49e9fbc2, (q31_t)0x49e4da74, (q31_t)0x49dfb8f9,
+ (q31_t)0x49da9750, (q31_t)0x49d5757a, (q31_t)0x49d05376, (q31_t)0x49cb3145, (q31_t)0x49c60ee6, (q31_t)0x49c0ec59, (q31_t)0x49bbc9a0, (q31_t)0x49b6a6b8,
+ (q31_t)0x49b183a3, (q31_t)0x49ac6061, (q31_t)0x49a73cf1, (q31_t)0x49a21954, (q31_t)0x499cf589, (q31_t)0x4997d191, (q31_t)0x4992ad6c, (q31_t)0x498d8919,
+ (q31_t)0x49886499, (q31_t)0x49833fec, (q31_t)0x497e1b11, (q31_t)0x4978f609, (q31_t)0x4973d0d3, (q31_t)0x496eab70, (q31_t)0x496985e0, (q31_t)0x49646023,
+ (q31_t)0x495f3a38, (q31_t)0x495a1420, (q31_t)0x4954eddb, (q31_t)0x494fc768, (q31_t)0x494aa0c9, (q31_t)0x494579fc, (q31_t)0x49405302, (q31_t)0x493b2bdb,
+ (q31_t)0x49360486, (q31_t)0x4930dd05, (q31_t)0x492bb556, (q31_t)0x49268d7a, (q31_t)0x49216571, (q31_t)0x491c3d3b, (q31_t)0x491714d8, (q31_t)0x4911ec47,
+ (q31_t)0x490cc38a, (q31_t)0x49079aa0, (q31_t)0x49027188, (q31_t)0x48fd4844, (q31_t)0x48f81ed2, (q31_t)0x48f2f534, (q31_t)0x48edcb68, (q31_t)0x48e8a170,
+ (q31_t)0x48e3774a, (q31_t)0x48de4cf8, (q31_t)0x48d92278, (q31_t)0x48d3f7cc, (q31_t)0x48ceccf3, (q31_t)0x48c9a1ed, (q31_t)0x48c476b9, (q31_t)0x48bf4b59,
+ (q31_t)0x48ba1fcd, (q31_t)0x48b4f413, (q31_t)0x48afc82c, (q31_t)0x48aa9c19, (q31_t)0x48a56fd9, (q31_t)0x48a0436c, (q31_t)0x489b16d2, (q31_t)0x4895ea0b,
+ (q31_t)0x4890bd18, (q31_t)0x488b8ff8, (q31_t)0x488662ab, (q31_t)0x48813531, (q31_t)0x487c078b, (q31_t)0x4876d9b8, (q31_t)0x4871abb8, (q31_t)0x486c7d8c,
+ (q31_t)0x48674f33, (q31_t)0x486220ad, (q31_t)0x485cf1fa, (q31_t)0x4857c31b, (q31_t)0x48529410, (q31_t)0x484d64d7, (q31_t)0x48483572, (q31_t)0x484305e1,
+ (q31_t)0x483dd623, (q31_t)0x4838a638, (q31_t)0x48337621, (q31_t)0x482e45dd, (q31_t)0x4829156d, (q31_t)0x4823e4d0, (q31_t)0x481eb407, (q31_t)0x48198311,
+ (q31_t)0x481451ef, (q31_t)0x480f20a0, (q31_t)0x4809ef25, (q31_t)0x4804bd7e, (q31_t)0x47ff8baa, (q31_t)0x47fa59a9, (q31_t)0x47f5277d, (q31_t)0x47eff523,
+ (q31_t)0x47eac29e, (q31_t)0x47e58fec, (q31_t)0x47e05d0e, (q31_t)0x47db2a03, (q31_t)0x47d5f6cc, (q31_t)0x47d0c369, (q31_t)0x47cb8fd9, (q31_t)0x47c65c1d,
+ (q31_t)0x47c12835, (q31_t)0x47bbf421, (q31_t)0x47b6bfe0, (q31_t)0x47b18b74, (q31_t)0x47ac56da, (q31_t)0x47a72215, (q31_t)0x47a1ed24, (q31_t)0x479cb806,
+ (q31_t)0x479782bc, (q31_t)0x47924d46, (q31_t)0x478d17a4, (q31_t)0x4787e1d6, (q31_t)0x4782abdb, (q31_t)0x477d75b5, (q31_t)0x47783f62, (q31_t)0x477308e3,
+ (q31_t)0x476dd239, (q31_t)0x47689b62, (q31_t)0x4763645f, (q31_t)0x475e2d30, (q31_t)0x4758f5d5, (q31_t)0x4753be4e, (q31_t)0x474e869b, (q31_t)0x47494ebc,
+ (q31_t)0x474416b1, (q31_t)0x473ede7a, (q31_t)0x4739a617, (q31_t)0x47346d89, (q31_t)0x472f34ce, (q31_t)0x4729fbe7, (q31_t)0x4724c2d5, (q31_t)0x471f8996,
+ (q31_t)0x471a502c, (q31_t)0x47151696, (q31_t)0x470fdcd4, (q31_t)0x470aa2e6, (q31_t)0x470568cd, (q31_t)0x47002e87, (q31_t)0x46faf416, (q31_t)0x46f5b979,
+ (q31_t)0x46f07eb0, (q31_t)0x46eb43bc, (q31_t)0x46e6089b, (q31_t)0x46e0cd4f, (q31_t)0x46db91d8, (q31_t)0x46d65634, (q31_t)0x46d11a65, (q31_t)0x46cbde6a,
+ (q31_t)0x46c6a244, (q31_t)0x46c165f1, (q31_t)0x46bc2974, (q31_t)0x46b6ecca, (q31_t)0x46b1aff5, (q31_t)0x46ac72f4, (q31_t)0x46a735c8, (q31_t)0x46a1f870,
+ (q31_t)0x469cbaed, (q31_t)0x46977d3e, (q31_t)0x46923f63, (q31_t)0x468d015d, (q31_t)0x4687c32c, (q31_t)0x468284cf, (q31_t)0x467d4646, (q31_t)0x46780792,
+ (q31_t)0x4672c8b3, (q31_t)0x466d89a8, (q31_t)0x46684a71, (q31_t)0x46630b0f, (q31_t)0x465dcb82, (q31_t)0x46588bc9, (q31_t)0x46534be5, (q31_t)0x464e0bd6,
+ (q31_t)0x4648cb9b, (q31_t)0x46438b35, (q31_t)0x463e4aa3, (q31_t)0x463909e7, (q31_t)0x4633c8fe, (q31_t)0x462e87eb, (q31_t)0x462946ac, (q31_t)0x46240542,
+ (q31_t)0x461ec3ad, (q31_t)0x461981ec, (q31_t)0x46144001, (q31_t)0x460efde9, (q31_t)0x4609bba7, (q31_t)0x4604793a, (q31_t)0x45ff36a1, (q31_t)0x45f9f3dd,
+ (q31_t)0x45f4b0ee, (q31_t)0x45ef6dd4, (q31_t)0x45ea2a8f, (q31_t)0x45e4e71f, (q31_t)0x45dfa383, (q31_t)0x45da5fbc, (q31_t)0x45d51bcb, (q31_t)0x45cfd7ae,
+ (q31_t)0x45ca9366, (q31_t)0x45c54ef3, (q31_t)0x45c00a55, (q31_t)0x45bac58c, (q31_t)0x45b58098, (q31_t)0x45b03b79, (q31_t)0x45aaf630, (q31_t)0x45a5b0bb,
+ (q31_t)0x45a06b1b, (q31_t)0x459b2550, (q31_t)0x4595df5a, (q31_t)0x45909939, (q31_t)0x458b52ee, (q31_t)0x45860c77, (q31_t)0x4580c5d6, (q31_t)0x457b7f0a,
+ (q31_t)0x45763813, (q31_t)0x4570f0f1, (q31_t)0x456ba9a4, (q31_t)0x4566622c, (q31_t)0x45611a8a, (q31_t)0x455bd2bc, (q31_t)0x45568ac4, (q31_t)0x455142a2,
+ (q31_t)0x454bfa54, (q31_t)0x4546b1dc, (q31_t)0x45416939, (q31_t)0x453c206b, (q31_t)0x4536d773, (q31_t)0x45318e4f, (q31_t)0x452c4502, (q31_t)0x4526fb89,
+ (q31_t)0x4521b1e6, (q31_t)0x451c6818, (q31_t)0x45171e20, (q31_t)0x4511d3fd, (q31_t)0x450c89af, (q31_t)0x45073f37, (q31_t)0x4501f494, (q31_t)0x44fca9c6,
+ (q31_t)0x44f75ecf, (q31_t)0x44f213ac, (q31_t)0x44ecc85f, (q31_t)0x44e77ce7, (q31_t)0x44e23145, (q31_t)0x44dce579, (q31_t)0x44d79982, (q31_t)0x44d24d60,
+ (q31_t)0x44cd0114, (q31_t)0x44c7b49e, (q31_t)0x44c267fd, (q31_t)0x44bd1b32, (q31_t)0x44b7ce3c, (q31_t)0x44b2811c, (q31_t)0x44ad33d2, (q31_t)0x44a7e65d,
+ (q31_t)0x44a298be, (q31_t)0x449d4af5, (q31_t)0x4497fd01, (q31_t)0x4492aee3, (q31_t)0x448d609b, (q31_t)0x44881228, (q31_t)0x4482c38b, (q31_t)0x447d74c4,
+ (q31_t)0x447825d2, (q31_t)0x4472d6b7, (q31_t)0x446d8771, (q31_t)0x44683801, (q31_t)0x4462e866, (q31_t)0x445d98a2, (q31_t)0x445848b3, (q31_t)0x4452f89b,
+ (q31_t)0x444da858, (q31_t)0x444857ea, (q31_t)0x44430753, (q31_t)0x443db692, (q31_t)0x443865a7, (q31_t)0x44331491, (q31_t)0x442dc351, (q31_t)0x442871e8,
+ (q31_t)0x44232054, (q31_t)0x441dce96, (q31_t)0x44187caf, (q31_t)0x44132a9d, (q31_t)0x440dd861, (q31_t)0x440885fc, (q31_t)0x4403336c, (q31_t)0x43fde0b2,
+ (q31_t)0x43f88dcf, (q31_t)0x43f33ac1, (q31_t)0x43ede78a, (q31_t)0x43e89429, (q31_t)0x43e3409d, (q31_t)0x43ddece8, (q31_t)0x43d8990a, (q31_t)0x43d34501,
+ (q31_t)0x43cdf0ce, (q31_t)0x43c89c72, (q31_t)0x43c347eb, (q31_t)0x43bdf33b, (q31_t)0x43b89e62, (q31_t)0x43b3495e, (q31_t)0x43adf431, (q31_t)0x43a89ed9,
+ (q31_t)0x43a34959, (q31_t)0x439df3ae, (q31_t)0x43989dda, (q31_t)0x439347dc, (q31_t)0x438df1b4, (q31_t)0x43889b63, (q31_t)0x438344e8, (q31_t)0x437dee43,
+ (q31_t)0x43789775, (q31_t)0x4373407d, (q31_t)0x436de95b, (q31_t)0x43689210, (q31_t)0x43633a9c, (q31_t)0x435de2fd, (q31_t)0x43588b36, (q31_t)0x43533344,
+ (q31_t)0x434ddb29, (q31_t)0x434882e5, (q31_t)0x43432a77, (q31_t)0x433dd1e0, (q31_t)0x4338791f, (q31_t)0x43332035, (q31_t)0x432dc721, (q31_t)0x43286de4,
+ (q31_t)0x4323147d, (q31_t)0x431dbaed, (q31_t)0x43186133, (q31_t)0x43130751, (q31_t)0x430dad44, (q31_t)0x4308530f, (q31_t)0x4302f8b0, (q31_t)0x42fd9e28,
+ (q31_t)0x42f84376, (q31_t)0x42f2e89b, (q31_t)0x42ed8d97, (q31_t)0x42e83269, (q31_t)0x42e2d713, (q31_t)0x42dd7b93, (q31_t)0x42d81fe9, (q31_t)0x42d2c417,
+ (q31_t)0x42cd681b, (q31_t)0x42c80bf6, (q31_t)0x42c2afa8, (q31_t)0x42bd5331, (q31_t)0x42b7f690, (q31_t)0x42b299c7, (q31_t)0x42ad3cd4, (q31_t)0x42a7dfb8,
+ (q31_t)0x42a28273, (q31_t)0x429d2505, (q31_t)0x4297c76e, (q31_t)0x429269ae, (q31_t)0x428d0bc4, (q31_t)0x4287adb2, (q31_t)0x42824f76, (q31_t)0x427cf112,
+ (q31_t)0x42779285, (q31_t)0x427233ce, (q31_t)0x426cd4ef, (q31_t)0x426775e6, (q31_t)0x426216b5, (q31_t)0x425cb75a, (q31_t)0x425757d7, (q31_t)0x4251f82b,
+ (q31_t)0x424c9856, (q31_t)0x42473858, (q31_t)0x4241d831, (q31_t)0x423c77e1, (q31_t)0x42371769, (q31_t)0x4231b6c7, (q31_t)0x422c55fd, (q31_t)0x4226f50a,
+ (q31_t)0x422193ee, (q31_t)0x421c32a9, (q31_t)0x4216d13c, (q31_t)0x42116fa5, (q31_t)0x420c0de6, (q31_t)0x4206abfe, (q31_t)0x420149ee, (q31_t)0x41fbe7b5,
+ (q31_t)0x41f68553, (q31_t)0x41f122c8, (q31_t)0x41ebc015, (q31_t)0x41e65d39, (q31_t)0x41e0fa35, (q31_t)0x41db9707, (q31_t)0x41d633b1, (q31_t)0x41d0d033,
+ (q31_t)0x41cb6c8c, (q31_t)0x41c608bc, (q31_t)0x41c0a4c4, (q31_t)0x41bb40a3, (q31_t)0x41b5dc5a, (q31_t)0x41b077e8, (q31_t)0x41ab134e, (q31_t)0x41a5ae8b,
+ (q31_t)0x41a049a0, (q31_t)0x419ae48c, (q31_t)0x41957f4f, (q31_t)0x419019eb, (q31_t)0x418ab45d, (q31_t)0x41854ea8, (q31_t)0x417fe8ca, (q31_t)0x417a82c3,
+ (q31_t)0x41751c94, (q31_t)0x416fb63d, (q31_t)0x416a4fbd, (q31_t)0x4164e916, (q31_t)0x415f8245, (q31_t)0x415a1b4d, (q31_t)0x4154b42c, (q31_t)0x414f4ce2,
+ (q31_t)0x4149e571, (q31_t)0x41447dd7, (q31_t)0x413f1615, (q31_t)0x4139ae2b, (q31_t)0x41344618, (q31_t)0x412edddd, (q31_t)0x4129757b, (q31_t)0x41240cef,
+ (q31_t)0x411ea43c, (q31_t)0x41193b61, (q31_t)0x4113d25d, (q31_t)0x410e6931, (q31_t)0x4108ffdd, (q31_t)0x41039661, (q31_t)0x40fe2cbd, (q31_t)0x40f8c2f1,
+ (q31_t)0x40f358fc, (q31_t)0x40edeee0, (q31_t)0x40e8849b, (q31_t)0x40e31a2f, (q31_t)0x40ddaf9b, (q31_t)0x40d844de, (q31_t)0x40d2d9f9, (q31_t)0x40cd6eed,
+ (q31_t)0x40c803b8, (q31_t)0x40c2985c, (q31_t)0x40bd2cd8, (q31_t)0x40b7c12b, (q31_t)0x40b25557, (q31_t)0x40ace95b, (q31_t)0x40a77d37, (q31_t)0x40a210eb,
+ (q31_t)0x409ca477, (q31_t)0x409737dc, (q31_t)0x4091cb18, (q31_t)0x408c5e2d, (q31_t)0x4086f11a, (q31_t)0x408183df, (q31_t)0x407c167c, (q31_t)0x4076a8f1,
+ (q31_t)0x40713b3f, (q31_t)0x406bcd65, (q31_t)0x40665f63, (q31_t)0x4060f13a, (q31_t)0x405b82e9, (q31_t)0x40561470, (q31_t)0x4050a5cf, (q31_t)0x404b3707,
+ (q31_t)0x4045c817, (q31_t)0x404058ff, (q31_t)0x403ae9c0, (q31_t)0x40357a59, (q31_t)0x40300acb, (q31_t)0x402a9b15, (q31_t)0x40252b37, (q31_t)0x401fbb32,
+ (q31_t)0x401a4b05, (q31_t)0x4014dab1, (q31_t)0x400f6a35, (q31_t)0x4009f992, (q31_t)0x400488c7, (q31_t)0x3fff17d5, (q31_t)0x3ff9a6bb, (q31_t)0x3ff4357a,
+ (q31_t)0x3feec411, (q31_t)0x3fe95281, (q31_t)0x3fe3e0c9, (q31_t)0x3fde6eeb, (q31_t)0x3fd8fce4, (q31_t)0x3fd38ab6, (q31_t)0x3fce1861, (q31_t)0x3fc8a5e5,
+ (q31_t)0x3fc33341, (q31_t)0x3fbdc076, (q31_t)0x3fb84d83, (q31_t)0x3fb2da6a, (q31_t)0x3fad6729, (q31_t)0x3fa7f3c0, (q31_t)0x3fa28031, (q31_t)0x3f9d0c7a,
+ (q31_t)0x3f97989c, (q31_t)0x3f922496, (q31_t)0x3f8cb06a, (q31_t)0x3f873c16, (q31_t)0x3f81c79b, (q31_t)0x3f7c52f9, (q31_t)0x3f76de30, (q31_t)0x3f71693f,
+ (q31_t)0x3f6bf428, (q31_t)0x3f667ee9, (q31_t)0x3f610983, (q31_t)0x3f5b93f6, (q31_t)0x3f561e42, (q31_t)0x3f50a867, (q31_t)0x3f4b3265, (q31_t)0x3f45bc3c,
+ (q31_t)0x3f4045ec, (q31_t)0x3f3acf75, (q31_t)0x3f3558d7, (q31_t)0x3f2fe211, (q31_t)0x3f2a6b25, (q31_t)0x3f24f412, (q31_t)0x3f1f7cd8, (q31_t)0x3f1a0577,
+ (q31_t)0x3f148def, (q31_t)0x3f0f1640, (q31_t)0x3f099e6b, (q31_t)0x3f04266e, (q31_t)0x3efeae4a, (q31_t)0x3ef93600, (q31_t)0x3ef3bd8f, (q31_t)0x3eee44f7,
+ (q31_t)0x3ee8cc38, (q31_t)0x3ee35352, (q31_t)0x3eddda46, (q31_t)0x3ed86113, (q31_t)0x3ed2e7b9, (q31_t)0x3ecd6e38, (q31_t)0x3ec7f491, (q31_t)0x3ec27ac2,
+ (q31_t)0x3ebd00cd, (q31_t)0x3eb786b2, (q31_t)0x3eb20c6f, (q31_t)0x3eac9206, (q31_t)0x3ea71777, (q31_t)0x3ea19cc1, (q31_t)0x3e9c21e4, (q31_t)0x3e96a6e0,
+ (q31_t)0x3e912bb6, (q31_t)0x3e8bb065, (q31_t)0x3e8634ee, (q31_t)0x3e80b950, (q31_t)0x3e7b3d8c, (q31_t)0x3e75c1a1, (q31_t)0x3e70458f, (q31_t)0x3e6ac957,
+ (q31_t)0x3e654cf8, (q31_t)0x3e5fd073, (q31_t)0x3e5a53c8, (q31_t)0x3e54d6f6, (q31_t)0x3e4f59fe, (q31_t)0x3e49dcdf, (q31_t)0x3e445f99, (q31_t)0x3e3ee22e,
+ (q31_t)0x3e39649c, (q31_t)0x3e33e6e3, (q31_t)0x3e2e6904, (q31_t)0x3e28eaff, (q31_t)0x3e236cd4, (q31_t)0x3e1dee82, (q31_t)0x3e18700a, (q31_t)0x3e12f16b,
+ (q31_t)0x3e0d72a6, (q31_t)0x3e07f3bb, (q31_t)0x3e0274aa, (q31_t)0x3dfcf572, (q31_t)0x3df77615, (q31_t)0x3df1f691, (q31_t)0x3dec76e6, (q31_t)0x3de6f716,
+ (q31_t)0x3de1771f, (q31_t)0x3ddbf703, (q31_t)0x3dd676c0, (q31_t)0x3dd0f656, (q31_t)0x3dcb75c7, (q31_t)0x3dc5f512, (q31_t)0x3dc07436, (q31_t)0x3dbaf335,
+ (q31_t)0x3db5720d, (q31_t)0x3daff0c0, (q31_t)0x3daa6f4c, (q31_t)0x3da4edb2, (q31_t)0x3d9f6bf2, (q31_t)0x3d99ea0d, (q31_t)0x3d946801, (q31_t)0x3d8ee5cf,
+ (q31_t)0x3d896377, (q31_t)0x3d83e0f9, (q31_t)0x3d7e5e56, (q31_t)0x3d78db8c, (q31_t)0x3d73589d, (q31_t)0x3d6dd587, (q31_t)0x3d68524c, (q31_t)0x3d62ceeb,
+ (q31_t)0x3d5d4b64, (q31_t)0x3d57c7b7, (q31_t)0x3d5243e4, (q31_t)0x3d4cbfeb, (q31_t)0x3d473bcd, (q31_t)0x3d41b789, (q31_t)0x3d3c331f, (q31_t)0x3d36ae8f,
+ (q31_t)0x3d3129da, (q31_t)0x3d2ba4fe, (q31_t)0x3d261ffd, (q31_t)0x3d209ad7, (q31_t)0x3d1b158a, (q31_t)0x3d159018, (q31_t)0x3d100a80, (q31_t)0x3d0a84c3,
+ (q31_t)0x3d04fee0, (q31_t)0x3cff78d7, (q31_t)0x3cf9f2a9, (q31_t)0x3cf46c55, (q31_t)0x3ceee5db, (q31_t)0x3ce95f3c, (q31_t)0x3ce3d877, (q31_t)0x3cde518d,
+ (q31_t)0x3cd8ca7d, (q31_t)0x3cd34347, (q31_t)0x3ccdbbed, (q31_t)0x3cc8346c, (q31_t)0x3cc2acc6, (q31_t)0x3cbd24fb, (q31_t)0x3cb79d0a, (q31_t)0x3cb214f4,
+ (q31_t)0x3cac8cb8, (q31_t)0x3ca70457, (q31_t)0x3ca17bd0, (q31_t)0x3c9bf324, (q31_t)0x3c966a53, (q31_t)0x3c90e15c, (q31_t)0x3c8b5840, (q31_t)0x3c85cefe,
+ (q31_t)0x3c804598, (q31_t)0x3c7abc0c, (q31_t)0x3c75325a, (q31_t)0x3c6fa883, (q31_t)0x3c6a1e87, (q31_t)0x3c649466, (q31_t)0x3c5f0a20, (q31_t)0x3c597fb4,
+ (q31_t)0x3c53f523, (q31_t)0x3c4e6a6d, (q31_t)0x3c48df91, (q31_t)0x3c435491, (q31_t)0x3c3dc96b, (q31_t)0x3c383e20, (q31_t)0x3c32b2b0, (q31_t)0x3c2d271b,
+ (q31_t)0x3c279b61, (q31_t)0x3c220f81, (q31_t)0x3c1c837d, (q31_t)0x3c16f753, (q31_t)0x3c116b04, (q31_t)0x3c0bde91, (q31_t)0x3c0651f8, (q31_t)0x3c00c53a,
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+ (q31_t)0x3b75d7d7, (q31_t)0x3b70475c, (q31_t)0x3b6ab6bb, (q31_t)0x3b6525f6, (q31_t)0x3b5f950c, (q31_t)0x3b5a03fe, (q31_t)0x3b5472cb, (q31_t)0x3b4ee173,
+ (q31_t)0x3b494ff7, (q31_t)0x3b43be57, (q31_t)0x3b3e2c91, (q31_t)0x3b389aa8, (q31_t)0x3b330899, (q31_t)0x3b2d7666, (q31_t)0x3b27e40f, (q31_t)0x3b225193,
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+ (q31_t)0x3a3d61a9, (q31_t)0x3a37c93d, (q31_t)0x3a3230ad, (q31_t)0x3a2c97f9, (q31_t)0x3a26ff21, (q31_t)0x3a216625, (q31_t)0x3a1bcd05, (q31_t)0x3a1633c1,
+ (q31_t)0x3a109a5a, (q31_t)0x3a0b00cf, (q31_t)0x3a056720, (q31_t)0x39ffcd4d, (q31_t)0x39fa3356, (q31_t)0x39f4993c, (q31_t)0x39eefefe, (q31_t)0x39e9649c,
+ (q31_t)0x39e3ca17, (q31_t)0x39de2f6d, (q31_t)0x39d894a0, (q31_t)0x39d2f9b0, (q31_t)0x39cd5e9b, (q31_t)0x39c7c363, (q31_t)0x39c22808, (q31_t)0x39bc8c89,
+ (q31_t)0x39b6f0e6, (q31_t)0x39b1551f, (q31_t)0x39abb935, (q31_t)0x39a61d28, (q31_t)0x39a080f6, (q31_t)0x399ae4a2, (q31_t)0x39954829, (q31_t)0x398fab8e,
+ (q31_t)0x398a0ece, (q31_t)0x398471ec, (q31_t)0x397ed4e5, (q31_t)0x397937bc, (q31_t)0x39739a6e, (q31_t)0x396dfcfe, (q31_t)0x39685f6a, (q31_t)0x3962c1b2,
+ (q31_t)0x395d23d7, (q31_t)0x395785d9, (q31_t)0x3951e7b8, (q31_t)0x394c4973, (q31_t)0x3946ab0a, (q31_t)0x39410c7f, (q31_t)0x393b6dd0, (q31_t)0x3935cefd,
+ (q31_t)0x39303008, (q31_t)0x392a90ef, (q31_t)0x3924f1b3, (q31_t)0x391f5254, (q31_t)0x3919b2d1, (q31_t)0x3914132b, (q31_t)0x390e7362, (q31_t)0x3908d376,
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+ (q31_t)0x376cc959, (q31_t)0x37671f66, (q31_t)0x37617551, (q31_t)0x375bcb1a, (q31_t)0x375620c1, (q31_t)0x37507645, (q31_t)0x374acba7, (q31_t)0x374520e7,
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+ (q31_t)0x35a60bf6, (q31_t)0x35a05781, (q31_t)0x359aa2ea, (q31_t)0x3594ee32, (q31_t)0x358f3959, (q31_t)0x3589845f, (q31_t)0x3583cf44, (q31_t)0x357e1a08,
+ (q31_t)0x357864ab, (q31_t)0x3572af2d, (q31_t)0x356cf98e, (q31_t)0x356743ce, (q31_t)0x35618ded, (q31_t)0x355bd7eb, (q31_t)0x355621c9, (q31_t)0x35506b85,
+ (q31_t)0x354ab520, (q31_t)0x3544fe9b, (q31_t)0x353f47f5, (q31_t)0x3539912e, (q31_t)0x3533da46, (q31_t)0x352e233d, (q31_t)0x35286c14, (q31_t)0x3522b4c9,
+ (q31_t)0x351cfd5e, (q31_t)0x351745d2, (q31_t)0x35118e26, (q31_t)0x350bd658, (q31_t)0x35061e6a, (q31_t)0x3500665c, (q31_t)0x34faae2c, (q31_t)0x34f4f5dc,
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+ (q31_t)0x3465ccb4, (q31_t)0x34601117, (q31_t)0x345a5559, (q31_t)0x3454997c, (q31_t)0x344edd7e, (q31_t)0x34492160, (q31_t)0x34436521, (q31_t)0x343da8c3,
+ (q31_t)0x3437ec44, (q31_t)0x34322fa5, (q31_t)0x342c72e6, (q31_t)0x3426b606, (q31_t)0x3420f907, (q31_t)0x341b3be7, (q31_t)0x34157ea7, (q31_t)0x340fc147,
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+ (q31_t)0x33dc1343, (q31_t)0x33d654a2, (q31_t)0x33d095e2, (q31_t)0x33cad701, (q31_t)0x33c51801, (q31_t)0x33bf58e1, (q31_t)0x33b999a0, (q31_t)0x33b3da40,
+ (q31_t)0x33ae1ac0, (q31_t)0x33a85b20, (q31_t)0x33a29b60, (q31_t)0x339cdb81, (q31_t)0x33971b81, (q31_t)0x33915b62, (q31_t)0x338b9b22, (q31_t)0x3385dac4,
+ (q31_t)0x33801a45, (q31_t)0x337a59a6, (q31_t)0x337498e8, (q31_t)0x336ed80a, (q31_t)0x3369170c, (q31_t)0x336355ef, (q31_t)0x335d94b2, (q31_t)0x3357d355,
+ (q31_t)0x335211d8, (q31_t)0x334c503c, (q31_t)0x33468e80, (q31_t)0x3340cca5, (q31_t)0x333b0aaa, (q31_t)0x3335488f, (q31_t)0x332f8655, (q31_t)0x3329c3fb,
+ (q31_t)0x33240182, (q31_t)0x331e3ee9, (q31_t)0x33187c31, (q31_t)0x3312b959, (q31_t)0x330cf661, (q31_t)0x3307334a, (q31_t)0x33017014, (q31_t)0x32fbacbe,
+ (q31_t)0x32f5e948, (q31_t)0x32f025b4, (q31_t)0x32ea61ff, (q31_t)0x32e49e2c, (q31_t)0x32deda39, (q31_t)0x32d91626, (q31_t)0x32d351f5, (q31_t)0x32cd8da4,
+ (q31_t)0x32c7c933, (q31_t)0x32c204a3, (q31_t)0x32bc3ff4, (q31_t)0x32b67b26, (q31_t)0x32b0b638, (q31_t)0x32aaf12b, (q31_t)0x32a52bff, (q31_t)0x329f66b4,
+ (q31_t)0x3299a149, (q31_t)0x3293dbbf, (q31_t)0x328e1616, (q31_t)0x3288504e, (q31_t)0x32828a67, (q31_t)0x327cc460, (q31_t)0x3276fe3a, (q31_t)0x327137f6,
+ (q31_t)0x326b7192, (q31_t)0x3265ab0f, (q31_t)0x325fe46c, (q31_t)0x325a1dab, (q31_t)0x325456cb, (q31_t)0x324e8fcc, (q31_t)0x3248c8ad, (q31_t)0x32430170,
+ (q31_t)0x323d3a14, (q31_t)0x32377298, (q31_t)0x3231aafe, (q31_t)0x322be345, (q31_t)0x32261b6c, (q31_t)0x32205375, (q31_t)0x321a8b5f, (q31_t)0x3214c32a,
+ (q31_t)0x320efad6, (q31_t)0x32093263, (q31_t)0x320369d2, (q31_t)0x31fda121, (q31_t)0x31f7d852, (q31_t)0x31f20f64, (q31_t)0x31ec4657, (q31_t)0x31e67d2b,
+ (q31_t)0x31e0b3e0, (q31_t)0x31daea77, (q31_t)0x31d520ef, (q31_t)0x31cf5748, (q31_t)0x31c98d83, (q31_t)0x31c3c39e, (q31_t)0x31bdf99b, (q31_t)0x31b82f7a,
+ (q31_t)0x31b2653a, (q31_t)0x31ac9adb, (q31_t)0x31a6d05d, (q31_t)0x31a105c1, (q31_t)0x319b3b06, (q31_t)0x3195702d, (q31_t)0x318fa535, (q31_t)0x3189da1e,
+ (q31_t)0x31840ee9, (q31_t)0x317e4395, (q31_t)0x31787823, (q31_t)0x3172ac92, (q31_t)0x316ce0e3, (q31_t)0x31671515, (q31_t)0x31614929, (q31_t)0x315b7d1e,
+ (q31_t)0x3155b0f5, (q31_t)0x314fe4ae, (q31_t)0x314a1848, (q31_t)0x31444bc3, (q31_t)0x313e7f21, (q31_t)0x3138b260, (q31_t)0x3132e580, (q31_t)0x312d1882,
+ (q31_t)0x31274b66, (q31_t)0x31217e2c, (q31_t)0x311bb0d3, (q31_t)0x3115e35c, (q31_t)0x311015c6, (q31_t)0x310a4813, (q31_t)0x31047a41, (q31_t)0x30feac51,
+ (q31_t)0x30f8de42, (q31_t)0x30f31016, (q31_t)0x30ed41cb, (q31_t)0x30e77362, (q31_t)0x30e1a4db, (q31_t)0x30dbd636, (q31_t)0x30d60772, (q31_t)0x30d03891,
+ (q31_t)0x30ca6991, (q31_t)0x30c49a74, (q31_t)0x30becb38, (q31_t)0x30b8fbde, (q31_t)0x30b32c66, (q31_t)0x30ad5cd0, (q31_t)0x30a78d1c, (q31_t)0x30a1bd4a,
+ (q31_t)0x309bed5a, (q31_t)0x30961d4c, (q31_t)0x30904d20, (q31_t)0x308a7cd6, (q31_t)0x3084ac6e, (q31_t)0x307edbe9, (q31_t)0x30790b45, (q31_t)0x30733a83,
+ (q31_t)0x306d69a4, (q31_t)0x306798a7, (q31_t)0x3061c78b, (q31_t)0x305bf652, (q31_t)0x305624fb, (q31_t)0x30505387, (q31_t)0x304a81f4, (q31_t)0x3044b044,
+ (q31_t)0x303ede76, (q31_t)0x30390c8a, (q31_t)0x30333a80, (q31_t)0x302d6859, (q31_t)0x30279614, (q31_t)0x3021c3b1, (q31_t)0x301bf131, (q31_t)0x30161e93,
+ (q31_t)0x30104bd7, (q31_t)0x300a78fe, (q31_t)0x3004a607, (q31_t)0x2ffed2f2, (q31_t)0x2ff8ffc0, (q31_t)0x2ff32c70, (q31_t)0x2fed5902, (q31_t)0x2fe78577,
+ (q31_t)0x2fe1b1cf, (q31_t)0x2fdbde09, (q31_t)0x2fd60a25, (q31_t)0x2fd03624, (q31_t)0x2fca6206, (q31_t)0x2fc48dc9, (q31_t)0x2fbeb970, (q31_t)0x2fb8e4f9,
+ (q31_t)0x2fb31064, (q31_t)0x2fad3bb3, (q31_t)0x2fa766e3, (q31_t)0x2fa191f7, (q31_t)0x2f9bbced, (q31_t)0x2f95e7c5, (q31_t)0x2f901280, (q31_t)0x2f8a3d1e,
+ (q31_t)0x2f84679f, (q31_t)0x2f7e9202, (q31_t)0x2f78bc48, (q31_t)0x2f72e671, (q31_t)0x2f6d107c, (q31_t)0x2f673a6a, (q31_t)0x2f61643b, (q31_t)0x2f5b8def,
+ (q31_t)0x2f55b785, (q31_t)0x2f4fe0ff, (q31_t)0x2f4a0a5b, (q31_t)0x2f44339a, (q31_t)0x2f3e5cbb, (q31_t)0x2f3885c0, (q31_t)0x2f32aea8, (q31_t)0x2f2cd772,
+ (q31_t)0x2f27001f, (q31_t)0x2f2128af, (q31_t)0x2f1b5122, (q31_t)0x2f157979, (q31_t)0x2f0fa1b2, (q31_t)0x2f09c9ce, (q31_t)0x2f03f1cd, (q31_t)0x2efe19ae,
+ (q31_t)0x2ef84173, (q31_t)0x2ef2691b, (q31_t)0x2eec90a7, (q31_t)0x2ee6b815, (q31_t)0x2ee0df66, (q31_t)0x2edb069a, (q31_t)0x2ed52db1, (q31_t)0x2ecf54ac,
+ (q31_t)0x2ec97b89, (q31_t)0x2ec3a24a, (q31_t)0x2ebdc8ee, (q31_t)0x2eb7ef75, (q31_t)0x2eb215df, (q31_t)0x2eac3c2d, (q31_t)0x2ea6625d, (q31_t)0x2ea08871,
+ (q31_t)0x2e9aae68, (q31_t)0x2e94d443, (q31_t)0x2e8efa00, (q31_t)0x2e891fa1, (q31_t)0x2e834525, (q31_t)0x2e7d6a8d, (q31_t)0x2e778fd8, (q31_t)0x2e71b506,
+ (q31_t)0x2e6bda17, (q31_t)0x2e65ff0c, (q31_t)0x2e6023e5, (q31_t)0x2e5a48a0, (q31_t)0x2e546d3f, (q31_t)0x2e4e91c2, (q31_t)0x2e48b628, (q31_t)0x2e42da71,
+ (q31_t)0x2e3cfe9e, (q31_t)0x2e3722ae, (q31_t)0x2e3146a2, (q31_t)0x2e2b6a79, (q31_t)0x2e258e34, (q31_t)0x2e1fb1d3, (q31_t)0x2e19d554, (q31_t)0x2e13f8ba,
+ (q31_t)0x2e0e1c03, (q31_t)0x2e083f30, (q31_t)0x2e026240, (q31_t)0x2dfc8534, (q31_t)0x2df6a80b, (q31_t)0x2df0cac6, (q31_t)0x2deaed65, (q31_t)0x2de50fe8,
+ (q31_t)0x2ddf324e, (q31_t)0x2dd95498, (q31_t)0x2dd376c5, (q31_t)0x2dcd98d7, (q31_t)0x2dc7bacc, (q31_t)0x2dc1dca4, (q31_t)0x2dbbfe61, (q31_t)0x2db62001,
+ (q31_t)0x2db04186, (q31_t)0x2daa62ee, (q31_t)0x2da4843a, (q31_t)0x2d9ea569, (q31_t)0x2d98c67d, (q31_t)0x2d92e774, (q31_t)0x2d8d084f, (q31_t)0x2d87290f,
+ (q31_t)0x2d8149b2, (q31_t)0x2d7b6a39, (q31_t)0x2d758aa4, (q31_t)0x2d6faaf3, (q31_t)0x2d69cb26, (q31_t)0x2d63eb3d, (q31_t)0x2d5e0b38, (q31_t)0x2d582b17,
+ (q31_t)0x2d524ada, (q31_t)0x2d4c6a81, (q31_t)0x2d468a0c, (q31_t)0x2d40a97b, (q31_t)0x2d3ac8ce, (q31_t)0x2d34e805, (q31_t)0x2d2f0721, (q31_t)0x2d292620,
+ (q31_t)0x2d234504, (q31_t)0x2d1d63cc, (q31_t)0x2d178278, (q31_t)0x2d11a108, (q31_t)0x2d0bbf7d, (q31_t)0x2d05ddd5, (q31_t)0x2cfffc12, (q31_t)0x2cfa1a33,
+ (q31_t)0x2cf43839, (q31_t)0x2cee5622, (q31_t)0x2ce873f0, (q31_t)0x2ce291a2, (q31_t)0x2cdcaf39, (q31_t)0x2cd6ccb4, (q31_t)0x2cd0ea13, (q31_t)0x2ccb0756,
+ (q31_t)0x2cc5247e, (q31_t)0x2cbf418b, (q31_t)0x2cb95e7b, (q31_t)0x2cb37b51, (q31_t)0x2cad980a, (q31_t)0x2ca7b4a8, (q31_t)0x2ca1d12a, (q31_t)0x2c9bed91,
+ (q31_t)0x2c9609dd, (q31_t)0x2c90260d, (q31_t)0x2c8a4221, (q31_t)0x2c845e1a, (q31_t)0x2c7e79f7, (q31_t)0x2c7895b9, (q31_t)0x2c72b160, (q31_t)0x2c6ccceb,
+ (q31_t)0x2c66e85b, (q31_t)0x2c6103af, (q31_t)0x2c5b1ee8, (q31_t)0x2c553a06, (q31_t)0x2c4f5508, (q31_t)0x2c496fef, (q31_t)0x2c438abb, (q31_t)0x2c3da56b,
+ (q31_t)0x2c37c000, (q31_t)0x2c31da7a, (q31_t)0x2c2bf4d8, (q31_t)0x2c260f1c, (q31_t)0x2c202944, (q31_t)0x2c1a4351, (q31_t)0x2c145d42, (q31_t)0x2c0e7719,
+ (q31_t)0x2c0890d4, (q31_t)0x2c02aa74, (q31_t)0x2bfcc3f9, (q31_t)0x2bf6dd63, (q31_t)0x2bf0f6b1, (q31_t)0x2beb0fe5, (q31_t)0x2be528fd, (q31_t)0x2bdf41fb,
+ (q31_t)0x2bd95add, (q31_t)0x2bd373a4, (q31_t)0x2bcd8c51, (q31_t)0x2bc7a4e2, (q31_t)0x2bc1bd58, (q31_t)0x2bbbd5b3, (q31_t)0x2bb5edf4, (q31_t)0x2bb00619,
+ (q31_t)0x2baa1e23, (q31_t)0x2ba43613, (q31_t)0x2b9e4de7, (q31_t)0x2b9865a1, (q31_t)0x2b927d3f, (q31_t)0x2b8c94c3, (q31_t)0x2b86ac2c, (q31_t)0x2b80c37a,
+ (q31_t)0x2b7adaae, (q31_t)0x2b74f1c6, (q31_t)0x2b6f08c4, (q31_t)0x2b691fa6, (q31_t)0x2b63366f, (q31_t)0x2b5d4d1c, (q31_t)0x2b5763ae, (q31_t)0x2b517a26,
+ (q31_t)0x2b4b9083, (q31_t)0x2b45a6c6, (q31_t)0x2b3fbced, (q31_t)0x2b39d2fa, (q31_t)0x2b33e8ed, (q31_t)0x2b2dfec5, (q31_t)0x2b281482, (q31_t)0x2b222a24,
+ (q31_t)0x2b1c3fac, (q31_t)0x2b165519, (q31_t)0x2b106a6c, (q31_t)0x2b0a7fa4, (q31_t)0x2b0494c2, (q31_t)0x2afea9c5, (q31_t)0x2af8bead, (q31_t)0x2af2d37b,
+ (q31_t)0x2aece82f, (q31_t)0x2ae6fcc8, (q31_t)0x2ae11146, (q31_t)0x2adb25aa, (q31_t)0x2ad539f4, (q31_t)0x2acf4e23, (q31_t)0x2ac96238, (q31_t)0x2ac37633,
+ (q31_t)0x2abd8a13, (q31_t)0x2ab79dd8, (q31_t)0x2ab1b184, (q31_t)0x2aabc515, (q31_t)0x2aa5d88b, (q31_t)0x2a9febe8, (q31_t)0x2a99ff2a, (q31_t)0x2a941252,
+ (q31_t)0x2a8e255f, (q31_t)0x2a883853, (q31_t)0x2a824b2c, (q31_t)0x2a7c5deb, (q31_t)0x2a76708f, (q31_t)0x2a70831a, (q31_t)0x2a6a958a, (q31_t)0x2a64a7e0,
+ (q31_t)0x2a5eba1c, (q31_t)0x2a58cc3e, (q31_t)0x2a52de46, (q31_t)0x2a4cf033, (q31_t)0x2a470207, (q31_t)0x2a4113c0, (q31_t)0x2a3b2560, (q31_t)0x2a3536e5,
+ (q31_t)0x2a2f4850, (q31_t)0x2a2959a1, (q31_t)0x2a236ad9, (q31_t)0x2a1d7bf6, (q31_t)0x2a178cf9, (q31_t)0x2a119de2, (q31_t)0x2a0baeb2, (q31_t)0x2a05bf67,
+ (q31_t)0x29ffd003, (q31_t)0x29f9e084, (q31_t)0x29f3f0ec, (q31_t)0x29ee013a, (q31_t)0x29e8116e, (q31_t)0x29e22188, (q31_t)0x29dc3188, (q31_t)0x29d6416f,
+ (q31_t)0x29d0513b, (q31_t)0x29ca60ee, (q31_t)0x29c47087, (q31_t)0x29be8007, (q31_t)0x29b88f6c, (q31_t)0x29b29eb8, (q31_t)0x29acadea, (q31_t)0x29a6bd02,
+ (q31_t)0x29a0cc01, (q31_t)0x299adae6, (q31_t)0x2994e9b1, (q31_t)0x298ef863, (q31_t)0x298906fb, (q31_t)0x2983157a, (q31_t)0x297d23df, (q31_t)0x2977322a,
+ (q31_t)0x2971405b, (q31_t)0x296b4e74, (q31_t)0x29655c72, (q31_t)0x295f6a57, (q31_t)0x29597823, (q31_t)0x295385d5, (q31_t)0x294d936d, (q31_t)0x2947a0ec,
+ (q31_t)0x2941ae52, (q31_t)0x293bbb9e, (q31_t)0x2935c8d1, (q31_t)0x292fd5ea, (q31_t)0x2929e2ea, (q31_t)0x2923efd0, (q31_t)0x291dfc9d, (q31_t)0x29180951,
+ (q31_t)0x291215eb, (q31_t)0x290c226c, (q31_t)0x29062ed4, (q31_t)0x29003b23, (q31_t)0x28fa4758, (q31_t)0x28f45374, (q31_t)0x28ee5f76, (q31_t)0x28e86b5f,
+ (q31_t)0x28e27730, (q31_t)0x28dc82e6, (q31_t)0x28d68e84, (q31_t)0x28d09a09, (q31_t)0x28caa574, (q31_t)0x28c4b0c6, (q31_t)0x28bebbff, (q31_t)0x28b8c71f,
+ (q31_t)0x28b2d226, (q31_t)0x28acdd13, (q31_t)0x28a6e7e8, (q31_t)0x28a0f2a3, (q31_t)0x289afd46, (q31_t)0x289507cf, (q31_t)0x288f123f, (q31_t)0x28891c97,
+ (q31_t)0x288326d5, (q31_t)0x287d30fa, (q31_t)0x28773b07, (q31_t)0x287144fa, (q31_t)0x286b4ed5, (q31_t)0x28655896, (q31_t)0x285f623f, (q31_t)0x28596bce,
+ (q31_t)0x28537545, (q31_t)0x284d7ea3, (q31_t)0x284787e8, (q31_t)0x28419114, (q31_t)0x283b9a28, (q31_t)0x2835a322, (q31_t)0x282fac04, (q31_t)0x2829b4cd,
+ (q31_t)0x2823bd7d, (q31_t)0x281dc615, (q31_t)0x2817ce93, (q31_t)0x2811d6f9, (q31_t)0x280bdf46, (q31_t)0x2805e77b, (q31_t)0x27ffef97, (q31_t)0x27f9f79a,
+ (q31_t)0x27f3ff85, (q31_t)0x27ee0756, (q31_t)0x27e80f10, (q31_t)0x27e216b0, (q31_t)0x27dc1e38, (q31_t)0x27d625a8, (q31_t)0x27d02cff, (q31_t)0x27ca343d,
+ (q31_t)0x27c43b63, (q31_t)0x27be4270, (q31_t)0x27b84965, (q31_t)0x27b25041, (q31_t)0x27ac5705, (q31_t)0x27a65db0, (q31_t)0x27a06443, (q31_t)0x279a6abd,
+ (q31_t)0x2794711f, (q31_t)0x278e7768, (q31_t)0x27887d99, (q31_t)0x278283b2, (q31_t)0x277c89b3, (q31_t)0x27768f9b, (q31_t)0x2770956a, (q31_t)0x276a9b21,
+ (q31_t)0x2764a0c0, (q31_t)0x275ea647, (q31_t)0x2758abb6, (q31_t)0x2752b10c, (q31_t)0x274cb64a, (q31_t)0x2746bb6f, (q31_t)0x2740c07d, (q31_t)0x273ac572,
+ (q31_t)0x2734ca4f, (q31_t)0x272ecf14, (q31_t)0x2728d3c0, (q31_t)0x2722d855, (q31_t)0x271cdcd1, (q31_t)0x2716e136, (q31_t)0x2710e582, (q31_t)0x270ae9b6,
+ (q31_t)0x2704edd2, (q31_t)0x26fef1d5, (q31_t)0x26f8f5c1, (q31_t)0x26f2f995, (q31_t)0x26ecfd51, (q31_t)0x26e700f5, (q31_t)0x26e10480, (q31_t)0x26db07f4,
+ (q31_t)0x26d50b50, (q31_t)0x26cf0e94, (q31_t)0x26c911c0, (q31_t)0x26c314d4, (q31_t)0x26bd17d0, (q31_t)0x26b71ab4, (q31_t)0x26b11d80, (q31_t)0x26ab2034,
+ (q31_t)0x26a522d1, (q31_t)0x269f2556, (q31_t)0x269927c3, (q31_t)0x26932a18, (q31_t)0x268d2c55, (q31_t)0x26872e7b, (q31_t)0x26813088, (q31_t)0x267b327e,
+ (q31_t)0x2675345d, (q31_t)0x266f3623, (q31_t)0x266937d2, (q31_t)0x26633969, (q31_t)0x265d3ae9, (q31_t)0x26573c50, (q31_t)0x26513da1, (q31_t)0x264b3ed9,
+ (q31_t)0x26453ffa, (q31_t)0x263f4103, (q31_t)0x263941f5, (q31_t)0x263342cf, (q31_t)0x262d4392, (q31_t)0x2627443d, (q31_t)0x262144d0, (q31_t)0x261b454c,
+ (q31_t)0x261545b0, (q31_t)0x260f45fd, (q31_t)0x26094633, (q31_t)0x26034651, (q31_t)0x25fd4657, (q31_t)0x25f74646, (q31_t)0x25f1461e, (q31_t)0x25eb45de,
+ (q31_t)0x25e54587, (q31_t)0x25df4519, (q31_t)0x25d94493, (q31_t)0x25d343f6, (q31_t)0x25cd4341, (q31_t)0x25c74276, (q31_t)0x25c14192, (q31_t)0x25bb4098,
+ (q31_t)0x25b53f86, (q31_t)0x25af3e5d, (q31_t)0x25a93d1d, (q31_t)0x25a33bc6, (q31_t)0x259d3a57, (q31_t)0x259738d1, (q31_t)0x25913734, (q31_t)0x258b3580,
+ (q31_t)0x258533b5, (q31_t)0x257f31d2, (q31_t)0x25792fd8, (q31_t)0x25732dc8, (q31_t)0x256d2ba0, (q31_t)0x25672961, (q31_t)0x2561270b, (q31_t)0x255b249e,
+ (q31_t)0x2555221a, (q31_t)0x254f1f7e, (q31_t)0x25491ccc, (q31_t)0x25431a03, (q31_t)0x253d1723, (q31_t)0x2537142c, (q31_t)0x2531111e, (q31_t)0x252b0df9,
+ (q31_t)0x25250abd, (q31_t)0x251f076a, (q31_t)0x25190400, (q31_t)0x25130080, (q31_t)0x250cfce8, (q31_t)0x2506f93a, (q31_t)0x2500f574, (q31_t)0x24faf198,
+ (q31_t)0x24f4eda6, (q31_t)0x24eee99c, (q31_t)0x24e8e57c, (q31_t)0x24e2e144, (q31_t)0x24dcdcf6, (q31_t)0x24d6d892, (q31_t)0x24d0d416, (q31_t)0x24cacf84,
+ (q31_t)0x24c4cadb, (q31_t)0x24bec61c, (q31_t)0x24b8c146, (q31_t)0x24b2bc59, (q31_t)0x24acb756, (q31_t)0x24a6b23b, (q31_t)0x24a0ad0b, (q31_t)0x249aa7c4,
+ (q31_t)0x2494a266, (q31_t)0x248e9cf1, (q31_t)0x24889766, (q31_t)0x248291c5, (q31_t)0x247c8c0d, (q31_t)0x2476863e, (q31_t)0x24708059, (q31_t)0x246a7a5e,
+ (q31_t)0x2464744c, (q31_t)0x245e6e23, (q31_t)0x245867e4, (q31_t)0x2452618f, (q31_t)0x244c5b24, (q31_t)0x244654a1, (q31_t)0x24404e09, (q31_t)0x243a475a,
+ (q31_t)0x24344095, (q31_t)0x242e39ba, (q31_t)0x242832c8, (q31_t)0x24222bc0, (q31_t)0x241c24a1, (q31_t)0x24161d6d, (q31_t)0x24101622, (q31_t)0x240a0ec1,
+ (q31_t)0x24040749, (q31_t)0x23fdffbc, (q31_t)0x23f7f818, (q31_t)0x23f1f05e, (q31_t)0x23ebe88e, (q31_t)0x23e5e0a7, (q31_t)0x23dfd8ab, (q31_t)0x23d9d098,
+ (q31_t)0x23d3c86f, (q31_t)0x23cdc031, (q31_t)0x23c7b7dc, (q31_t)0x23c1af71, (q31_t)0x23bba6f0, (q31_t)0x23b59e59, (q31_t)0x23af95ac, (q31_t)0x23a98ce8,
+ (q31_t)0x23a3840f, (q31_t)0x239d7b20, (q31_t)0x2397721b, (q31_t)0x23916900, (q31_t)0x238b5fcf, (q31_t)0x23855688, (q31_t)0x237f4d2b, (q31_t)0x237943b9,
+ (q31_t)0x23733a30, (q31_t)0x236d3092, (q31_t)0x236726dd, (q31_t)0x23611d13, (q31_t)0x235b1333, (q31_t)0x2355093e, (q31_t)0x234eff32, (q31_t)0x2348f511,
+ (q31_t)0x2342eada, (q31_t)0x233ce08d, (q31_t)0x2336d62a, (q31_t)0x2330cbb2, (q31_t)0x232ac124, (q31_t)0x2324b680, (q31_t)0x231eabc7, (q31_t)0x2318a0f8,
+ (q31_t)0x23129613, (q31_t)0x230c8b19, (q31_t)0x23068009, (q31_t)0x230074e3, (q31_t)0x22fa69a8, (q31_t)0x22f45e57, (q31_t)0x22ee52f1, (q31_t)0x22e84775,
+ (q31_t)0x22e23be4, (q31_t)0x22dc303d, (q31_t)0x22d62480, (q31_t)0x22d018ae, (q31_t)0x22ca0cc7, (q31_t)0x22c400ca, (q31_t)0x22bdf4b8, (q31_t)0x22b7e890,
+ (q31_t)0x22b1dc53, (q31_t)0x22abd001, (q31_t)0x22a5c399, (q31_t)0x229fb71b, (q31_t)0x2299aa89, (q31_t)0x22939de1, (q31_t)0x228d9123, (q31_t)0x22878451,
+ (q31_t)0x22817769, (q31_t)0x227b6a6c, (q31_t)0x22755d59, (q31_t)0x226f5032, (q31_t)0x226942f5, (q31_t)0x226335a2, (q31_t)0x225d283b, (q31_t)0x22571abe,
+ (q31_t)0x22510d2d, (q31_t)0x224aff86, (q31_t)0x2244f1c9, (q31_t)0x223ee3f8, (q31_t)0x2238d612, (q31_t)0x2232c816, (q31_t)0x222cba06, (q31_t)0x2226abe0,
+ (q31_t)0x22209da5, (q31_t)0x221a8f56, (q31_t)0x221480f1, (q31_t)0x220e7277, (q31_t)0x220863e8, (q31_t)0x22025544, (q31_t)0x21fc468b, (q31_t)0x21f637be,
+ (q31_t)0x21f028db, (q31_t)0x21ea19e3, (q31_t)0x21e40ad7, (q31_t)0x21ddfbb5, (q31_t)0x21d7ec7f, (q31_t)0x21d1dd34, (q31_t)0x21cbcdd3, (q31_t)0x21c5be5e,
+ (q31_t)0x21bfaed5, (q31_t)0x21b99f36, (q31_t)0x21b38f83, (q31_t)0x21ad7fba, (q31_t)0x21a76fdd, (q31_t)0x21a15fec, (q31_t)0x219b4fe5, (q31_t)0x21953fca,
+ (q31_t)0x218f2f9a, (q31_t)0x21891f55, (q31_t)0x21830efc, (q31_t)0x217cfe8e, (q31_t)0x2176ee0b, (q31_t)0x2170dd74, (q31_t)0x216accc8, (q31_t)0x2164bc08,
+ (q31_t)0x215eab33, (q31_t)0x21589a49, (q31_t)0x2152894b, (q31_t)0x214c7838, (q31_t)0x21466710, (q31_t)0x214055d4, (q31_t)0x213a4484, (q31_t)0x2134331f,
+ (q31_t)0x212e21a6, (q31_t)0x21281018, (q31_t)0x2121fe76, (q31_t)0x211becbf, (q31_t)0x2115daf4, (q31_t)0x210fc914, (q31_t)0x2109b720, (q31_t)0x2103a518,
+ (q31_t)0x20fd92fb, (q31_t)0x20f780ca, (q31_t)0x20f16e84, (q31_t)0x20eb5c2b, (q31_t)0x20e549bd, (q31_t)0x20df373a, (q31_t)0x20d924a4, (q31_t)0x20d311f9,
+ (q31_t)0x20ccff3a, (q31_t)0x20c6ec66, (q31_t)0x20c0d97f, (q31_t)0x20bac683, (q31_t)0x20b4b373, (q31_t)0x20aea04f, (q31_t)0x20a88d17, (q31_t)0x20a279ca,
+ (q31_t)0x209c666a, (q31_t)0x209652f5, (q31_t)0x20903f6c, (q31_t)0x208a2bcf, (q31_t)0x2084181e, (q31_t)0x207e0459, (q31_t)0x2077f080, (q31_t)0x2071dc93,
+ (q31_t)0x206bc892, (q31_t)0x2065b47d, (q31_t)0x205fa054, (q31_t)0x20598c17, (q31_t)0x205377c6, (q31_t)0x204d6361, (q31_t)0x20474ee8, (q31_t)0x20413a5b,
+ (q31_t)0x203b25bb, (q31_t)0x20351106, (q31_t)0x202efc3e, (q31_t)0x2028e761, (q31_t)0x2022d271, (q31_t)0x201cbd6d, (q31_t)0x2016a856, (q31_t)0x2010932a,
+ (q31_t)0x200a7deb, (q31_t)0x20046898, (q31_t)0x1ffe5331, (q31_t)0x1ff83db6, (q31_t)0x1ff22828, (q31_t)0x1fec1286, (q31_t)0x1fe5fcd0, (q31_t)0x1fdfe707,
+ (q31_t)0x1fd9d12a, (q31_t)0x1fd3bb39, (q31_t)0x1fcda535, (q31_t)0x1fc78f1d, (q31_t)0x1fc178f1, (q31_t)0x1fbb62b2, (q31_t)0x1fb54c60, (q31_t)0x1faf35f9,
+ (q31_t)0x1fa91f80, (q31_t)0x1fa308f2, (q31_t)0x1f9cf252, (q31_t)0x1f96db9d, (q31_t)0x1f90c4d5, (q31_t)0x1f8aadfa, (q31_t)0x1f84970b, (q31_t)0x1f7e8009,
+ (q31_t)0x1f7868f4, (q31_t)0x1f7251ca, (q31_t)0x1f6c3a8e, (q31_t)0x1f66233e, (q31_t)0x1f600bdb, (q31_t)0x1f59f465, (q31_t)0x1f53dcdb, (q31_t)0x1f4dc53d,
+ (q31_t)0x1f47ad8d, (q31_t)0x1f4195c9, (q31_t)0x1f3b7df2, (q31_t)0x1f356608, (q31_t)0x1f2f4e0a, (q31_t)0x1f2935f9, (q31_t)0x1f231dd5, (q31_t)0x1f1d059e,
+ (q31_t)0x1f16ed54, (q31_t)0x1f10d4f6, (q31_t)0x1f0abc85, (q31_t)0x1f04a401, (q31_t)0x1efe8b6a, (q31_t)0x1ef872c0, (q31_t)0x1ef25a03, (q31_t)0x1eec4132,
+ (q31_t)0x1ee6284f, (q31_t)0x1ee00f58, (q31_t)0x1ed9f64f, (q31_t)0x1ed3dd32, (q31_t)0x1ecdc402, (q31_t)0x1ec7aac0, (q31_t)0x1ec1916a, (q31_t)0x1ebb7802,
+ (q31_t)0x1eb55e86, (q31_t)0x1eaf44f8, (q31_t)0x1ea92b56, (q31_t)0x1ea311a2, (q31_t)0x1e9cf7db, (q31_t)0x1e96de01, (q31_t)0x1e90c414, (q31_t)0x1e8aaa14,
+ (q31_t)0x1e849001, (q31_t)0x1e7e75dc, (q31_t)0x1e785ba3, (q31_t)0x1e724158, (q31_t)0x1e6c26fa, (q31_t)0x1e660c8a, (q31_t)0x1e5ff206, (q31_t)0x1e59d770,
+ (q31_t)0x1e53bcc7, (q31_t)0x1e4da20c, (q31_t)0x1e47873d, (q31_t)0x1e416c5d, (q31_t)0x1e3b5169, (q31_t)0x1e353663, (q31_t)0x1e2f1b4a, (q31_t)0x1e29001e,
+ (q31_t)0x1e22e4e0, (q31_t)0x1e1cc990, (q31_t)0x1e16ae2c, (q31_t)0x1e1092b6, (q31_t)0x1e0a772e, (q31_t)0x1e045b93, (q31_t)0x1dfe3fe6, (q31_t)0x1df82426,
+ (q31_t)0x1df20853, (q31_t)0x1debec6f, (q31_t)0x1de5d077, (q31_t)0x1ddfb46e, (q31_t)0x1dd99851, (q31_t)0x1dd37c23, (q31_t)0x1dcd5fe2, (q31_t)0x1dc7438e,
+ (q31_t)0x1dc12729, (q31_t)0x1dbb0ab0, (q31_t)0x1db4ee26, (q31_t)0x1daed189, (q31_t)0x1da8b4da, (q31_t)0x1da29819, (q31_t)0x1d9c7b45, (q31_t)0x1d965e5f,
+ (q31_t)0x1d904167, (q31_t)0x1d8a245c, (q31_t)0x1d840740, (q31_t)0x1d7dea11, (q31_t)0x1d77ccd0, (q31_t)0x1d71af7d, (q31_t)0x1d6b9217, (q31_t)0x1d6574a0,
+ (q31_t)0x1d5f5716, (q31_t)0x1d59397a, (q31_t)0x1d531bcc, (q31_t)0x1d4cfe0d, (q31_t)0x1d46e03a, (q31_t)0x1d40c256, (q31_t)0x1d3aa460, (q31_t)0x1d348658,
+ (q31_t)0x1d2e683e, (q31_t)0x1d284a12, (q31_t)0x1d222bd3, (q31_t)0x1d1c0d83, (q31_t)0x1d15ef21, (q31_t)0x1d0fd0ad, (q31_t)0x1d09b227, (q31_t)0x1d03938f,
+ (q31_t)0x1cfd74e5, (q31_t)0x1cf7562a, (q31_t)0x1cf1375c, (q31_t)0x1ceb187d, (q31_t)0x1ce4f98c, (q31_t)0x1cdeda89, (q31_t)0x1cd8bb74, (q31_t)0x1cd29c4d,
+ (q31_t)0x1ccc7d15, (q31_t)0x1cc65dca, (q31_t)0x1cc03e6e, (q31_t)0x1cba1f01, (q31_t)0x1cb3ff81, (q31_t)0x1caddff0, (q31_t)0x1ca7c04d, (q31_t)0x1ca1a099,
+ (q31_t)0x1c9b80d3, (q31_t)0x1c9560fb, (q31_t)0x1c8f4112, (q31_t)0x1c892117, (q31_t)0x1c83010a, (q31_t)0x1c7ce0ec, (q31_t)0x1c76c0bc, (q31_t)0x1c70a07b,
+ (q31_t)0x1c6a8028, (q31_t)0x1c645fc3, (q31_t)0x1c5e3f4d, (q31_t)0x1c581ec6, (q31_t)0x1c51fe2d, (q31_t)0x1c4bdd83, (q31_t)0x1c45bcc7, (q31_t)0x1c3f9bf9,
+ (q31_t)0x1c397b1b, (q31_t)0x1c335a2b, (q31_t)0x1c2d3929, (q31_t)0x1c271816, (q31_t)0x1c20f6f2, (q31_t)0x1c1ad5bc, (q31_t)0x1c14b475, (q31_t)0x1c0e931d,
+ (q31_t)0x1c0871b4, (q31_t)0x1c025039, (q31_t)0x1bfc2ead, (q31_t)0x1bf60d0f, (q31_t)0x1befeb60, (q31_t)0x1be9c9a1, (q31_t)0x1be3a7cf, (q31_t)0x1bdd85ed,
+ (q31_t)0x1bd763fa, (q31_t)0x1bd141f5, (q31_t)0x1bcb1fdf, (q31_t)0x1bc4fdb8, (q31_t)0x1bbedb80, (q31_t)0x1bb8b937, (q31_t)0x1bb296dc, (q31_t)0x1bac7471,
+ (q31_t)0x1ba651f5, (q31_t)0x1ba02f67, (q31_t)0x1b9a0cc8, (q31_t)0x1b93ea19, (q31_t)0x1b8dc758, (q31_t)0x1b87a487, (q31_t)0x1b8181a4, (q31_t)0x1b7b5eb0,
+ (q31_t)0x1b753bac, (q31_t)0x1b6f1897, (q31_t)0x1b68f570, (q31_t)0x1b62d239, (q31_t)0x1b5caef1, (q31_t)0x1b568b98, (q31_t)0x1b50682e, (q31_t)0x1b4a44b3,
+ (q31_t)0x1b442127, (q31_t)0x1b3dfd8b, (q31_t)0x1b37d9de, (q31_t)0x1b31b620, (q31_t)0x1b2b9251, (q31_t)0x1b256e71, (q31_t)0x1b1f4a81, (q31_t)0x1b192680,
+ (q31_t)0x1b13026e, (q31_t)0x1b0cde4c, (q31_t)0x1b06ba19, (q31_t)0x1b0095d5, (q31_t)0x1afa7180, (q31_t)0x1af44d1b, (q31_t)0x1aee28a6, (q31_t)0x1ae8041f,
+ (q31_t)0x1ae1df88, (q31_t)0x1adbbae1, (q31_t)0x1ad59629, (q31_t)0x1acf7160, (q31_t)0x1ac94c87, (q31_t)0x1ac3279d, (q31_t)0x1abd02a3, (q31_t)0x1ab6dd98,
+ (q31_t)0x1ab0b87d, (q31_t)0x1aaa9352, (q31_t)0x1aa46e16, (q31_t)0x1a9e48c9, (q31_t)0x1a98236c, (q31_t)0x1a91fdff, (q31_t)0x1a8bd881, (q31_t)0x1a85b2f3,
+ (q31_t)0x1a7f8d54, (q31_t)0x1a7967a6, (q31_t)0x1a7341e6, (q31_t)0x1a6d1c17, (q31_t)0x1a66f637, (q31_t)0x1a60d047, (q31_t)0x1a5aaa47, (q31_t)0x1a548436,
+ (q31_t)0x1a4e5e15, (q31_t)0x1a4837e4, (q31_t)0x1a4211a3, (q31_t)0x1a3beb52, (q31_t)0x1a35c4f0, (q31_t)0x1a2f9e7e, (q31_t)0x1a2977fc, (q31_t)0x1a23516a,
+ (q31_t)0x1a1d2ac8, (q31_t)0x1a170416, (q31_t)0x1a10dd53, (q31_t)0x1a0ab681, (q31_t)0x1a048f9e, (q31_t)0x19fe68ac, (q31_t)0x19f841a9, (q31_t)0x19f21a96,
+ (q31_t)0x19ebf374, (q31_t)0x19e5cc41, (q31_t)0x19dfa4fe, (q31_t)0x19d97dac, (q31_t)0x19d35649, (q31_t)0x19cd2ed7, (q31_t)0x19c70754, (q31_t)0x19c0dfc2,
+ (q31_t)0x19bab820, (q31_t)0x19b4906e, (q31_t)0x19ae68ac, (q31_t)0x19a840da, (q31_t)0x19a218f9, (q31_t)0x199bf107, (q31_t)0x1995c906, (q31_t)0x198fa0f5,
+ (q31_t)0x198978d4, (q31_t)0x198350a4, (q31_t)0x197d2864, (q31_t)0x19770014, (q31_t)0x1970d7b4, (q31_t)0x196aaf45, (q31_t)0x196486c6, (q31_t)0x195e5e37,
+ (q31_t)0x19583599, (q31_t)0x19520ceb, (q31_t)0x194be42d, (q31_t)0x1945bb60, (q31_t)0x193f9283, (q31_t)0x19396997, (q31_t)0x1933409b, (q31_t)0x192d178f,
+ (q31_t)0x1926ee74, (q31_t)0x1920c54a, (q31_t)0x191a9c10, (q31_t)0x191472c6, (q31_t)0x190e496d, (q31_t)0x19082005, (q31_t)0x1901f68d, (q31_t)0x18fbcd06,
+ (q31_t)0x18f5a36f, (q31_t)0x18ef79c9, (q31_t)0x18e95014, (q31_t)0x18e3264f, (q31_t)0x18dcfc7b, (q31_t)0x18d6d297, (q31_t)0x18d0a8a4, (q31_t)0x18ca7ea2,
+ (q31_t)0x18c45491, (q31_t)0x18be2a70, (q31_t)0x18b80040, (q31_t)0x18b1d601, (q31_t)0x18ababb2, (q31_t)0x18a58154, (q31_t)0x189f56e8, (q31_t)0x18992c6b,
+ (q31_t)0x189301e0, (q31_t)0x188cd746, (q31_t)0x1886ac9c, (q31_t)0x188081e4, (q31_t)0x187a571c, (q31_t)0x18742c45, (q31_t)0x186e015f, (q31_t)0x1867d66a,
+ (q31_t)0x1861ab66, (q31_t)0x185b8053, (q31_t)0x18555530, (q31_t)0x184f29ff, (q31_t)0x1848febf, (q31_t)0x1842d370, (q31_t)0x183ca812, (q31_t)0x18367ca5,
+ (q31_t)0x18305129, (q31_t)0x182a259e, (q31_t)0x1823fa04, (q31_t)0x181dce5b, (q31_t)0x1817a2a4, (q31_t)0x181176dd, (q31_t)0x180b4b08, (q31_t)0x18051f24,
+ (q31_t)0x17fef331, (q31_t)0x17f8c72f, (q31_t)0x17f29b1e, (q31_t)0x17ec6eff, (q31_t)0x17e642d1, (q31_t)0x17e01694, (q31_t)0x17d9ea49, (q31_t)0x17d3bdee,
+ (q31_t)0x17cd9186, (q31_t)0x17c7650e, (q31_t)0x17c13888, (q31_t)0x17bb0bf3, (q31_t)0x17b4df4f, (q31_t)0x17aeb29d, (q31_t)0x17a885dc, (q31_t)0x17a2590d,
+ (q31_t)0x179c2c2f, (q31_t)0x1795ff42, (q31_t)0x178fd247, (q31_t)0x1789a53d, (q31_t)0x17837825, (q31_t)0x177d4afe, (q31_t)0x17771dc9, (q31_t)0x1770f086,
+ (q31_t)0x176ac333, (q31_t)0x176495d3, (q31_t)0x175e6864, (q31_t)0x17583ae7, (q31_t)0x17520d5b, (q31_t)0x174bdfc1, (q31_t)0x1745b218, (q31_t)0x173f8461,
+ (q31_t)0x1739569c, (q31_t)0x173328c8, (q31_t)0x172cfae6, (q31_t)0x1726ccf6, (q31_t)0x17209ef8, (q31_t)0x171a70eb, (q31_t)0x171442d0, (q31_t)0x170e14a7,
+ (q31_t)0x1707e670, (q31_t)0x1701b82a, (q31_t)0x16fb89d6, (q31_t)0x16f55b74, (q31_t)0x16ef2d04, (q31_t)0x16e8fe86, (q31_t)0x16e2cff9, (q31_t)0x16dca15f,
+ (q31_t)0x16d672b6, (q31_t)0x16d043ff, (q31_t)0x16ca153a, (q31_t)0x16c3e667, (q31_t)0x16bdb787, (q31_t)0x16b78898, (q31_t)0x16b1599b, (q31_t)0x16ab2a90,
+ (q31_t)0x16a4fb77, (q31_t)0x169ecc50, (q31_t)0x16989d1b, (q31_t)0x16926dd8, (q31_t)0x168c3e87, (q31_t)0x16860f29, (q31_t)0x167fdfbc, (q31_t)0x1679b042,
+ (q31_t)0x167380ba, (q31_t)0x166d5123, (q31_t)0x1667217f, (q31_t)0x1660f1ce, (q31_t)0x165ac20e, (q31_t)0x16549241, (q31_t)0x164e6266, (q31_t)0x1648327d,
+ (q31_t)0x16420286, (q31_t)0x163bd282, (q31_t)0x1635a270, (q31_t)0x162f7250, (q31_t)0x16294222, (q31_t)0x162311e7, (q31_t)0x161ce19e, (q31_t)0x1616b148,
+ (q31_t)0x161080e4, (q31_t)0x160a5072, (q31_t)0x16041ff3, (q31_t)0x15fdef66, (q31_t)0x15f7becc, (q31_t)0x15f18e24, (q31_t)0x15eb5d6e, (q31_t)0x15e52cab,
+ (q31_t)0x15defbdb, (q31_t)0x15d8cafd, (q31_t)0x15d29a11, (q31_t)0x15cc6918, (q31_t)0x15c63812, (q31_t)0x15c006fe, (q31_t)0x15b9d5dd, (q31_t)0x15b3a4ae,
+ (q31_t)0x15ad7372, (q31_t)0x15a74228, (q31_t)0x15a110d2, (q31_t)0x159adf6e, (q31_t)0x1594adfc, (q31_t)0x158e7c7d, (q31_t)0x15884af1, (q31_t)0x15821958,
+ (q31_t)0x157be7b1, (q31_t)0x1575b5fe, (q31_t)0x156f843c, (q31_t)0x1569526e, (q31_t)0x15632093, (q31_t)0x155ceeaa, (q31_t)0x1556bcb4, (q31_t)0x15508ab1,
+ (q31_t)0x154a58a1, (q31_t)0x15442683, (q31_t)0x153df459, (q31_t)0x1537c221, (q31_t)0x15318fdd, (q31_t)0x152b5d8b, (q31_t)0x15252b2c, (q31_t)0x151ef8c0,
+ (q31_t)0x1518c648, (q31_t)0x151293c2, (q31_t)0x150c612f, (q31_t)0x15062e8f, (q31_t)0x14fffbe2, (q31_t)0x14f9c928, (q31_t)0x14f39662, (q31_t)0x14ed638e,
+ (q31_t)0x14e730ae, (q31_t)0x14e0fdc0, (q31_t)0x14dacac6, (q31_t)0x14d497bf, (q31_t)0x14ce64ab, (q31_t)0x14c8318a, (q31_t)0x14c1fe5c, (q31_t)0x14bbcb22,
+ (q31_t)0x14b597da, (q31_t)0x14af6486, (q31_t)0x14a93125, (q31_t)0x14a2fdb8, (q31_t)0x149cca3e, (q31_t)0x149696b7, (q31_t)0x14906323, (q31_t)0x148a2f82,
+ (q31_t)0x1483fbd5, (q31_t)0x147dc81c, (q31_t)0x14779455, (q31_t)0x14716082, (q31_t)0x146b2ca3, (q31_t)0x1464f8b7, (q31_t)0x145ec4be, (q31_t)0x145890b9,
+ (q31_t)0x14525ca7, (q31_t)0x144c2888, (q31_t)0x1445f45d, (q31_t)0x143fc026, (q31_t)0x14398be2, (q31_t)0x14335792, (q31_t)0x142d2335, (q31_t)0x1426eecb,
+ (q31_t)0x1420ba56, (q31_t)0x141a85d3, (q31_t)0x14145145, (q31_t)0x140e1caa, (q31_t)0x1407e803, (q31_t)0x1401b34f, (q31_t)0x13fb7e8f, (q31_t)0x13f549c3,
+ (q31_t)0x13ef14ea, (q31_t)0x13e8e005, (q31_t)0x13e2ab14, (q31_t)0x13dc7616, (q31_t)0x13d6410d, (q31_t)0x13d00bf7, (q31_t)0x13c9d6d4, (q31_t)0x13c3a1a6,
+ (q31_t)0x13bd6c6b, (q31_t)0x13b73725, (q31_t)0x13b101d2, (q31_t)0x13aacc73, (q31_t)0x13a49707, (q31_t)0x139e6190, (q31_t)0x13982c0d, (q31_t)0x1391f67d,
+ (q31_t)0x138bc0e1, (q31_t)0x13858b3a, (q31_t)0x137f5586, (q31_t)0x13791fc6, (q31_t)0x1372e9fb, (q31_t)0x136cb423, (q31_t)0x13667e3f, (q31_t)0x13604850,
+ (q31_t)0x135a1254, (q31_t)0x1353dc4c, (q31_t)0x134da639, (q31_t)0x1347701a, (q31_t)0x134139ee, (q31_t)0x133b03b7, (q31_t)0x1334cd74, (q31_t)0x132e9725,
+ (q31_t)0x132860ca, (q31_t)0x13222a64, (q31_t)0x131bf3f2, (q31_t)0x1315bd73, (q31_t)0x130f86ea, (q31_t)0x13095054, (q31_t)0x130319b3, (q31_t)0x12fce305,
+ (q31_t)0x12f6ac4d, (q31_t)0x12f07588, (q31_t)0x12ea3eb8, (q31_t)0x12e407dc, (q31_t)0x12ddd0f4, (q31_t)0x12d79a01, (q31_t)0x12d16303, (q31_t)0x12cb2bf8,
+ (q31_t)0x12c4f4e2, (q31_t)0x12bebdc1, (q31_t)0x12b88693, (q31_t)0x12b24f5b, (q31_t)0x12ac1817, (q31_t)0x12a5e0c7, (q31_t)0x129fa96c, (q31_t)0x12997205,
+ (q31_t)0x12933a93, (q31_t)0x128d0315, (q31_t)0x1286cb8c, (q31_t)0x128093f7, (q31_t)0x127a5c57, (q31_t)0x127424ac, (q31_t)0x126decf5, (q31_t)0x1267b533,
+ (q31_t)0x12617d66, (q31_t)0x125b458d, (q31_t)0x12550da9, (q31_t)0x124ed5ba, (q31_t)0x12489dbf, (q31_t)0x124265b9, (q31_t)0x123c2da8, (q31_t)0x1235f58b,
+ (q31_t)0x122fbd63, (q31_t)0x12298530, (q31_t)0x12234cf2, (q31_t)0x121d14a9, (q31_t)0x1216dc54, (q31_t)0x1210a3f5, (q31_t)0x120a6b8a, (q31_t)0x12043314,
+ (q31_t)0x11fdfa93, (q31_t)0x11f7c207, (q31_t)0x11f18970, (q31_t)0x11eb50cd, (q31_t)0x11e51820, (q31_t)0x11dedf68, (q31_t)0x11d8a6a4, (q31_t)0x11d26dd6,
+ (q31_t)0x11cc34fc, (q31_t)0x11c5fc18, (q31_t)0x11bfc329, (q31_t)0x11b98a2e, (q31_t)0x11b35129, (q31_t)0x11ad1819, (q31_t)0x11a6defe, (q31_t)0x11a0a5d8,
+ (q31_t)0x119a6ca7, (q31_t)0x1194336b, (q31_t)0x118dfa25, (q31_t)0x1187c0d3, (q31_t)0x11818777, (q31_t)0x117b4e10, (q31_t)0x1175149e, (q31_t)0x116edb22,
+ (q31_t)0x1168a19b, (q31_t)0x11626809, (q31_t)0x115c2e6c, (q31_t)0x1155f4c4, (q31_t)0x114fbb12, (q31_t)0x11498156, (q31_t)0x1143478e, (q31_t)0x113d0dbc,
+ (q31_t)0x1136d3df, (q31_t)0x113099f8, (q31_t)0x112a6006, (q31_t)0x11242609, (q31_t)0x111dec02, (q31_t)0x1117b1f0, (q31_t)0x111177d4, (q31_t)0x110b3dad,
+ (q31_t)0x1105037c, (q31_t)0x10fec940, (q31_t)0x10f88efa, (q31_t)0x10f254a9, (q31_t)0x10ec1a4e, (q31_t)0x10e5dfe8, (q31_t)0x10dfa578, (q31_t)0x10d96afe,
+ (q31_t)0x10d33079, (q31_t)0x10ccf5ea, (q31_t)0x10c6bb50, (q31_t)0x10c080ac, (q31_t)0x10ba45fe, (q31_t)0x10b40b45, (q31_t)0x10add082, (q31_t)0x10a795b5,
+ (q31_t)0x10a15ade, (q31_t)0x109b1ffc, (q31_t)0x1094e510, (q31_t)0x108eaa1a, (q31_t)0x10886f19, (q31_t)0x1082340f, (q31_t)0x107bf8fa, (q31_t)0x1075bddb,
+ (q31_t)0x106f82b2, (q31_t)0x1069477f, (q31_t)0x10630c41, (q31_t)0x105cd0fa, (q31_t)0x105695a8, (q31_t)0x10505a4d, (q31_t)0x104a1ee7, (q31_t)0x1043e377,
+ (q31_t)0x103da7fd, (q31_t)0x10376c79, (q31_t)0x103130ec, (q31_t)0x102af554, (q31_t)0x1024b9b2, (q31_t)0x101e7e06, (q31_t)0x10184251, (q31_t)0x10120691,
+ (q31_t)0x100bcac7, (q31_t)0x10058ef4, (q31_t)0xfff5317, (q31_t)0xff91730, (q31_t)0xff2db3e, (q31_t)0xfec9f44, (q31_t)0xfe6633f, (q31_t)0xfe02730,
+ (q31_t)0xfd9eb18, (q31_t)0xfd3aef6, (q31_t)0xfcd72ca, (q31_t)0xfc73695, (q31_t)0xfc0fa55, (q31_t)0xfbabe0c, (q31_t)0xfb481ba, (q31_t)0xfae455d,
+ (q31_t)0xfa808f7, (q31_t)0xfa1cc87, (q31_t)0xf9b900e, (q31_t)0xf95538b, (q31_t)0xf8f16fe, (q31_t)0xf88da68, (q31_t)0xf829dc8, (q31_t)0xf7c611f,
+ (q31_t)0xf76246c, (q31_t)0xf6fe7af, (q31_t)0xf69aae9, (q31_t)0xf636e1a, (q31_t)0xf5d3141, (q31_t)0xf56f45e, (q31_t)0xf50b773, (q31_t)0xf4a7a7d,
+ (q31_t)0xf443d7e, (q31_t)0xf3e0076, (q31_t)0xf37c365, (q31_t)0xf318649, (q31_t)0xf2b4925, (q31_t)0xf250bf7, (q31_t)0xf1ecec0, (q31_t)0xf189180,
+ (q31_t)0xf125436, (q31_t)0xf0c16e3, (q31_t)0xf05d987, (q31_t)0xeff9c21, (q31_t)0xef95eb2, (q31_t)0xef3213a, (q31_t)0xeece3b9, (q31_t)0xee6a62f,
+ (q31_t)0xee0689b, (q31_t)0xeda2afe, (q31_t)0xed3ed58, (q31_t)0xecdafa9, (q31_t)0xec771f1, (q31_t)0xec1342f, (q31_t)0xebaf665, (q31_t)0xeb4b891,
+ (q31_t)0xeae7ab4, (q31_t)0xea83ccf, (q31_t)0xea1fee0, (q31_t)0xe9bc0e8, (q31_t)0xe9582e7, (q31_t)0xe8f44dd, (q31_t)0xe8906cb, (q31_t)0xe82c8af,
+ (q31_t)0xe7c8a8a, (q31_t)0xe764c5c, (q31_t)0xe700e26, (q31_t)0xe69cfe6, (q31_t)0xe63919e, (q31_t)0xe5d534d, (q31_t)0xe5714f3, (q31_t)0xe50d690,
+ (q31_t)0xe4a9824, (q31_t)0xe4459af, (q31_t)0xe3e1b32, (q31_t)0xe37dcac, (q31_t)0xe319e1d, (q31_t)0xe2b5f85, (q31_t)0xe2520e5, (q31_t)0xe1ee23c,
+ (q31_t)0xe18a38a, (q31_t)0xe1264cf, (q31_t)0xe0c260c, (q31_t)0xe05e740, (q31_t)0xdffa86b, (q31_t)0xdf9698e, (q31_t)0xdf32aa8, (q31_t)0xdecebba,
+ (q31_t)0xde6acc3, (q31_t)0xde06dc3, (q31_t)0xdda2ebb, (q31_t)0xdd3efab, (q31_t)0xdcdb091, (q31_t)0xdc77170, (q31_t)0xdc13245, (q31_t)0xdbaf313,
+ (q31_t)0xdb4b3d7, (q31_t)0xdae7494, (q31_t)0xda83548, (q31_t)0xda1f5f3, (q31_t)0xd9bb696, (q31_t)0xd957731, (q31_t)0xd8f37c3, (q31_t)0xd88f84d,
+ (q31_t)0xd82b8cf, (q31_t)0xd7c7948, (q31_t)0xd7639b9, (q31_t)0xd6ffa22, (q31_t)0xd69ba82, (q31_t)0xd637ada, (q31_t)0xd5d3b2a, (q31_t)0xd56fb71,
+ (q31_t)0xd50bbb1, (q31_t)0xd4a7be8, (q31_t)0xd443c17, (q31_t)0xd3dfc3e, (q31_t)0xd37bc5c, (q31_t)0xd317c73, (q31_t)0xd2b3c81, (q31_t)0xd24fc87,
+ (q31_t)0xd1ebc85, (q31_t)0xd187c7b, (q31_t)0xd123c69, (q31_t)0xd0bfc4f, (q31_t)0xd05bc2d, (q31_t)0xcff7c02, (q31_t)0xcf93bd0, (q31_t)0xcf2fb96,
+ (q31_t)0xcecbb53, (q31_t)0xce67b09, (q31_t)0xce03ab7, (q31_t)0xcd9fa5d, (q31_t)0xcd3b9fb, (q31_t)0xccd7991, (q31_t)0xcc7391f, (q31_t)0xcc0f8a5,
+ (q31_t)0xcbab824, (q31_t)0xcb4779a, (q31_t)0xcae3709, (q31_t)0xca7f670, (q31_t)0xca1b5cf, (q31_t)0xc9b7526, (q31_t)0xc953475, (q31_t)0xc8ef3bd,
+ (q31_t)0xc88b2fd, (q31_t)0xc827235, (q31_t)0xc7c3166, (q31_t)0xc75f08f, (q31_t)0xc6fafb0, (q31_t)0xc696ec9, (q31_t)0xc632ddb, (q31_t)0xc5cece5,
+ (q31_t)0xc56abe8, (q31_t)0xc506ae3, (q31_t)0xc4a29d6, (q31_t)0xc43e8c2, (q31_t)0xc3da7a6, (q31_t)0xc376683, (q31_t)0xc312558, (q31_t)0xc2ae425,
+ (q31_t)0xc24a2eb, (q31_t)0xc1e61aa, (q31_t)0xc182061, (q31_t)0xc11df11, (q31_t)0xc0b9db9, (q31_t)0xc055c5a, (q31_t)0xbff1af3, (q31_t)0xbf8d985,
+ (q31_t)0xbf29810, (q31_t)0xbec5693, (q31_t)0xbe6150f, (q31_t)0xbdfd383, (q31_t)0xbd991f0, (q31_t)0xbd35056, (q31_t)0xbcd0eb5, (q31_t)0xbc6cd0c,
+ (q31_t)0xbc08b5c, (q31_t)0xbba49a5, (q31_t)0xbb407e7, (q31_t)0xbadc621, (q31_t)0xba78454, (q31_t)0xba14280, (q31_t)0xb9b00a5, (q31_t)0xb94bec2,
+ (q31_t)0xb8e7cd9, (q31_t)0xb883ae8, (q31_t)0xb81f8f0, (q31_t)0xb7bb6f2, (q31_t)0xb7574ec, (q31_t)0xb6f32df, (q31_t)0xb68f0cb, (q31_t)0xb62aeaf,
+ (q31_t)0xb5c6c8d, (q31_t)0xb562a64, (q31_t)0xb4fe834, (q31_t)0xb49a5fd, (q31_t)0xb4363bf, (q31_t)0xb3d217a, (q31_t)0xb36df2e, (q31_t)0xb309cdb,
+ (q31_t)0xb2a5a81, (q31_t)0xb241820, (q31_t)0xb1dd5b9, (q31_t)0xb17934b, (q31_t)0xb1150d5, (q31_t)0xb0b0e59, (q31_t)0xb04cbd6, (q31_t)0xafe894d,
+ (q31_t)0xaf846bc, (q31_t)0xaf20425, (q31_t)0xaebc187, (q31_t)0xae57ee2, (q31_t)0xadf3c37, (q31_t)0xad8f985, (q31_t)0xad2b6cc, (q31_t)0xacc740c,
+ (q31_t)0xac63146, (q31_t)0xabfee79, (q31_t)0xab9aba6, (q31_t)0xab368cc, (q31_t)0xaad25eb, (q31_t)0xaa6e304, (q31_t)0xaa0a016, (q31_t)0xa9a5d22,
+ (q31_t)0xa941a27, (q31_t)0xa8dd725, (q31_t)0xa87941d, (q31_t)0xa81510f, (q31_t)0xa7b0dfa, (q31_t)0xa74cadf, (q31_t)0xa6e87bd, (q31_t)0xa684495,
+ (q31_t)0xa620166, (q31_t)0xa5bbe31, (q31_t)0xa557af5, (q31_t)0xa4f37b3, (q31_t)0xa48f46b, (q31_t)0xa42b11d, (q31_t)0xa3c6dc8, (q31_t)0xa362a6d,
+ (q31_t)0xa2fe70b, (q31_t)0xa29a3a3, (q31_t)0xa236035, (q31_t)0xa1d1cc1, (q31_t)0xa16d946, (q31_t)0xa1095c6, (q31_t)0xa0a523f, (q31_t)0xa040eb1,
+ (q31_t)0x9fdcb1e, (q31_t)0x9f78784, (q31_t)0x9f143e5, (q31_t)0x9eb003f, (q31_t)0x9e4bc93, (q31_t)0x9de78e1, (q31_t)0x9d83529, (q31_t)0x9d1f16b,
+ (q31_t)0x9cbada7, (q31_t)0x9c569dc, (q31_t)0x9bf260c, (q31_t)0x9b8e236, (q31_t)0x9b29e59, (q31_t)0x9ac5a77, (q31_t)0x9a6168f, (q31_t)0x99fd2a0,
+ (q31_t)0x9998eac, (q31_t)0x9934ab2, (q31_t)0x98d06b2, (q31_t)0x986c2ac, (q31_t)0x9807ea1, (q31_t)0x97a3a8f, (q31_t)0x973f678, (q31_t)0x96db25a,
+ (q31_t)0x9676e37, (q31_t)0x9612a0e, (q31_t)0x95ae5e0, (q31_t)0x954a1ab, (q31_t)0x94e5d71, (q31_t)0x9481931, (q31_t)0x941d4eb, (q31_t)0x93b90a0,
+ (q31_t)0x9354c4f, (q31_t)0x92f07f8, (q31_t)0x928c39b, (q31_t)0x9227f39, (q31_t)0x91c3ad2, (q31_t)0x915f664, (q31_t)0x90fb1f1, (q31_t)0x9096d79,
+ (q31_t)0x90328fb, (q31_t)0x8fce477, (q31_t)0x8f69fee, (q31_t)0x8f05b5f, (q31_t)0x8ea16cb, (q31_t)0x8e3d231, (q31_t)0x8dd8d92, (q31_t)0x8d748ed,
+ (q31_t)0x8d10443, (q31_t)0x8cabf93, (q31_t)0x8c47ade, (q31_t)0x8be3624, (q31_t)0x8b7f164, (q31_t)0x8b1ac9f, (q31_t)0x8ab67d4, (q31_t)0x8a52304,
+ (q31_t)0x89ede2f, (q31_t)0x8989955, (q31_t)0x8925475, (q31_t)0x88c0f90, (q31_t)0x885caa5, (q31_t)0x87f85b5, (q31_t)0x87940c1, (q31_t)0x872fbc6,
+ (q31_t)0x86cb6c7, (q31_t)0x86671c2, (q31_t)0x8602cb9, (q31_t)0x859e7aa, (q31_t)0x853a296, (q31_t)0x84d5d7d, (q31_t)0x847185e, (q31_t)0x840d33b,
+ (q31_t)0x83a8e12, (q31_t)0x83448e5, (q31_t)0x82e03b2, (q31_t)0x827be7a, (q31_t)0x821793e, (q31_t)0x81b33fc, (q31_t)0x814eeb5, (q31_t)0x80ea969,
+ (q31_t)0x8086419, (q31_t)0x8021ec3, (q31_t)0x7fbd968, (q31_t)0x7f59409, (q31_t)0x7ef4ea4, (q31_t)0x7e9093b, (q31_t)0x7e2c3cd, (q31_t)0x7dc7e5a,
+ (q31_t)0x7d638e2, (q31_t)0x7cff365, (q31_t)0x7c9ade4, (q31_t)0x7c3685d, (q31_t)0x7bd22d2, (q31_t)0x7b6dd42, (q31_t)0x7b097ad, (q31_t)0x7aa5214,
+ (q31_t)0x7a40c76, (q31_t)0x79dc6d3, (q31_t)0x797812b, (q31_t)0x7913b7f, (q31_t)0x78af5ce, (q31_t)0x784b019, (q31_t)0x77e6a5e, (q31_t)0x77824a0,
+ (q31_t)0x771dedc, (q31_t)0x76b9914, (q31_t)0x7655347, (q31_t)0x75f0d76, (q31_t)0x758c7a1, (q31_t)0x75281c6, (q31_t)0x74c3be7, (q31_t)0x745f604,
+ (q31_t)0x73fb01c, (q31_t)0x7396a30, (q31_t)0x733243f, (q31_t)0x72cde4a, (q31_t)0x7269851, (q31_t)0x7205253, (q31_t)0x71a0c50, (q31_t)0x713c64a,
+ (q31_t)0x70d803f, (q31_t)0x7073a2f, (q31_t)0x700f41b, (q31_t)0x6faae03, (q31_t)0x6f467e7, (q31_t)0x6ee21c6, (q31_t)0x6e7dba1, (q31_t)0x6e19578,
+ (q31_t)0x6db4f4a, (q31_t)0x6d50919, (q31_t)0x6cec2e3, (q31_t)0x6c87ca9, (q31_t)0x6c2366a, (q31_t)0x6bbf028, (q31_t)0x6b5a9e1, (q31_t)0x6af6396,
+ (q31_t)0x6a91d47, (q31_t)0x6a2d6f4, (q31_t)0x69c909d, (q31_t)0x6964a42, (q31_t)0x69003e3, (q31_t)0x689bd80, (q31_t)0x6837718, (q31_t)0x67d30ad,
+ (q31_t)0x676ea3d, (q31_t)0x670a3ca, (q31_t)0x66a5d53, (q31_t)0x66416d8, (q31_t)0x65dd058, (q31_t)0x65789d5, (q31_t)0x651434e, (q31_t)0x64afcc3,
+ (q31_t)0x644b634, (q31_t)0x63e6fa2, (q31_t)0x638290b, (q31_t)0x631e271, (q31_t)0x62b9bd3, (q31_t)0x6255531, (q31_t)0x61f0e8b, (q31_t)0x618c7e1,
+ (q31_t)0x6128134, (q31_t)0x60c3a83, (q31_t)0x605f3ce, (q31_t)0x5ffad15, (q31_t)0x5f96659, (q31_t)0x5f31f99, (q31_t)0x5ecd8d6, (q31_t)0x5e6920e,
+ (q31_t)0x5e04b43, (q31_t)0x5da0475, (q31_t)0x5d3bda3, (q31_t)0x5cd76cd, (q31_t)0x5c72ff4, (q31_t)0x5c0e917, (q31_t)0x5baa237, (q31_t)0x5b45b53,
+ (q31_t)0x5ae146b, (q31_t)0x5a7cd80, (q31_t)0x5a18692, (q31_t)0x59b3fa0, (q31_t)0x594f8aa, (q31_t)0x58eb1b2, (q31_t)0x5886ab5, (q31_t)0x58223b6,
+ (q31_t)0x57bdcb3, (q31_t)0x57595ac, (q31_t)0x56f4ea2, (q31_t)0x5690795, (q31_t)0x562c085, (q31_t)0x55c7971, (q31_t)0x556325a, (q31_t)0x54feb3f,
+ (q31_t)0x549a422, (q31_t)0x5435d01, (q31_t)0x53d15dd, (q31_t)0x536ceb5, (q31_t)0x530878a, (q31_t)0x52a405d, (q31_t)0x523f92c, (q31_t)0x51db1f7,
+ (q31_t)0x5176ac0, (q31_t)0x5112385, (q31_t)0x50adc48, (q31_t)0x5049507, (q31_t)0x4fe4dc3, (q31_t)0x4f8067c, (q31_t)0x4f1bf32, (q31_t)0x4eb77e5,
+ (q31_t)0x4e53095, (q31_t)0x4dee942, (q31_t)0x4d8a1ec, (q31_t)0x4d25a93, (q31_t)0x4cc1337, (q31_t)0x4c5cbd8, (q31_t)0x4bf8476, (q31_t)0x4b93d11,
+ (q31_t)0x4b2f5a9, (q31_t)0x4acae3e, (q31_t)0x4a666d1, (q31_t)0x4a01f60, (q31_t)0x499d7ed, (q31_t)0x4939077, (q31_t)0x48d48fe, (q31_t)0x4870182,
+ (q31_t)0x480ba04, (q31_t)0x47a7282, (q31_t)0x4742afe, (q31_t)0x46de377, (q31_t)0x4679bee, (q31_t)0x4615461, (q31_t)0x45b0cd2, (q31_t)0x454c541,
+ (q31_t)0x44e7dac, (q31_t)0x4483615, (q31_t)0x441ee7c, (q31_t)0x43ba6df, (q31_t)0x4355f40, (q31_t)0x42f179f, (q31_t)0x428cffb, (q31_t)0x4228854,
+ (q31_t)0x41c40ab, (q31_t)0x415f8ff, (q31_t)0x40fb151, (q31_t)0x40969a0, (q31_t)0x40321ed, (q31_t)0x3fcda37, (q31_t)0x3f6927f, (q31_t)0x3f04ac4,
+ (q31_t)0x3ea0307, (q31_t)0x3e3bb48, (q31_t)0x3dd7386, (q31_t)0x3d72bc2, (q31_t)0x3d0e3fb, (q31_t)0x3ca9c32, (q31_t)0x3c45467, (q31_t)0x3be0c99,
+ (q31_t)0x3b7c4c9, (q31_t)0x3b17cf7, (q31_t)0x3ab3523, (q31_t)0x3a4ed4c, (q31_t)0x39ea573, (q31_t)0x3985d97, (q31_t)0x39215ba, (q31_t)0x38bcdda,
+ (q31_t)0x38585f8, (q31_t)0x37f3e14, (q31_t)0x378f62e, (q31_t)0x372ae46, (q31_t)0x36c665b, (q31_t)0x3661e6f, (q31_t)0x35fd680, (q31_t)0x3598e8f,
+ (q31_t)0x353469c, (q31_t)0x34cfea8, (q31_t)0x346b6b1, (q31_t)0x3406eb8, (q31_t)0x33a26bd, (q31_t)0x333dec0, (q31_t)0x32d96c1, (q31_t)0x3274ec0,
+ (q31_t)0x32106bd, (q31_t)0x31abeb9, (q31_t)0x31476b2, (q31_t)0x30e2ea9, (q31_t)0x307e69f, (q31_t)0x3019e93, (q31_t)0x2fb5684, (q31_t)0x2f50e74,
+ (q31_t)0x2eec663, (q31_t)0x2e87e4f, (q31_t)0x2e2363a, (q31_t)0x2dbee22, (q31_t)0x2d5a609, (q31_t)0x2cf5def, (q31_t)0x2c915d2, (q31_t)0x2c2cdb4,
+ (q31_t)0x2bc8594, (q31_t)0x2b63d73, (q31_t)0x2aff54f, (q31_t)0x2a9ad2a, (q31_t)0x2a36504, (q31_t)0x29d1cdc, (q31_t)0x296d4b2, (q31_t)0x2908c87,
+ (q31_t)0x28a445a, (q31_t)0x283fc2b, (q31_t)0x27db3fb, (q31_t)0x2776bc9, (q31_t)0x2712396, (q31_t)0x26adb62, (q31_t)0x264932b, (q31_t)0x25e4af4,
+ (q31_t)0x25802bb, (q31_t)0x251ba80, (q31_t)0x24b7244, (q31_t)0x2452a07, (q31_t)0x23ee1c8, (q31_t)0x2389988, (q31_t)0x2325147, (q31_t)0x22c0904,
+ (q31_t)0x225c0bf, (q31_t)0x21f787a, (q31_t)0x2193033, (q31_t)0x212e7eb, (q31_t)0x20c9fa1, (q31_t)0x2065757, (q31_t)0x2000f0b, (q31_t)0x1f9c6be,
+ (q31_t)0x1f37e6f, (q31_t)0x1ed3620, (q31_t)0x1e6edcf, (q31_t)0x1e0a57d, (q31_t)0x1da5d2a, (q31_t)0x1d414d6, (q31_t)0x1cdcc80, (q31_t)0x1c7842a,
+ (q31_t)0x1c13bd2, (q31_t)0x1baf37a, (q31_t)0x1b4ab20, (q31_t)0x1ae62c5, (q31_t)0x1a81a69, (q31_t)0x1a1d20c, (q31_t)0x19b89ae, (q31_t)0x1954150,
+ (q31_t)0x18ef8f0, (q31_t)0x188b08f, (q31_t)0x182682d, (q31_t)0x17c1fcb, (q31_t)0x175d767, (q31_t)0x16f8f03, (q31_t)0x169469d, (q31_t)0x162fe37,
+ (q31_t)0x15cb5d0, (q31_t)0x1566d68, (q31_t)0x15024ff, (q31_t)0x149dc96, (q31_t)0x143942b, (q31_t)0x13d4bc0, (q31_t)0x1370354, (q31_t)0x130bae7,
+ (q31_t)0x12a727a, (q31_t)0x1242a0c, (q31_t)0x11de19d, (q31_t)0x117992e, (q31_t)0x11150be, (q31_t)0x10b084d, (q31_t)0x104bfdb, (q31_t)0xfe7769,
+ (q31_t)0xf82ef6, (q31_t)0xf1e683, (q31_t)0xeb9e0f, (q31_t)0xe5559b, (q31_t)0xdf0d26, (q31_t)0xd8c4b0, (q31_t)0xd27c3a, (q31_t)0xcc33c3,
+ (q31_t)0xc5eb4c, (q31_t)0xbfa2d5, (q31_t)0xb95a5d, (q31_t)0xb311e4, (q31_t)0xacc96b, (q31_t)0xa680f2, (q31_t)0xa03878, (q31_t)0x99effe,
+ (q31_t)0x93a784, (q31_t)0x8d5f09, (q31_t)0x87168e, (q31_t)0x80ce12, (q31_t)0x7a8597, (q31_t)0x743d1a, (q31_t)0x6df49e, (q31_t)0x67ac21,
+ (q31_t)0x6163a5, (q31_t)0x5b1b27, (q31_t)0x54d2aa, (q31_t)0x4e8a2c, (q31_t)0x4841af, (q31_t)0x41f931, (q31_t)0x3bb0b3, (q31_t)0x356835,
+ (q31_t)0x2f1fb6, (q31_t)0x28d738, (q31_t)0x228eb9, (q31_t)0x1c463b, (q31_t)0x15fdbc, (q31_t)0xfb53d, (q31_t)0x96cbe, (q31_t)0x3243f
+};
+ #endif
+
+/**
+ @} end of DCT4_IDCT4_Table group
+ */
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
+/**
+ @brief Q15 table for reciprocal
+*/
+const q15_t __ALIGNED(4) armRecipTableQ15[64] = {
+ 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0,
+ 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82,
+ 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484,
+ 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0,
+ 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E,
+ 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255,
+ 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6,
+ 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978,
+ 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8,
+ 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255,
+ 0x41CC, 0x4146, 0x40C2, 0x4040
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
+
+/**
+ @brief Q31 table for reciprocal
+*/
+const q31_t armRecipTableQ31[64] = {
+ 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928,
+ 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3,
+ 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519,
+ 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB,
+ 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318,
+ 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0,
+ 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D,
+ 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96,
+ 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2,
+ 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426,
+ 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
+/**
+ @par
+ Example code for the generation of the floating-point sine table:
+
+ tableSize = 512;
+ for (n = 0; n < (tableSize + 1); n++)
+ {
+ sinTable[n] = sin(2*PI*n/tableSize);
+ }
+ @par
+ where PI value is 3.14159265358979
+ */
+const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = {
+ 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f,
+ 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f,
+ 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f,
+ 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f,
+ 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f,
+ 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f,
+ 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f,
+ 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f,
+ 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f,
+ 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f,
+ 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f,
+ 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f,
+ 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f,
+ 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f,
+ 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f,
+ 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f,
+ 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f,
+ 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f,
+ 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f,
+ 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f,
+ 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f,
+ 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f,
+ 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f,
+ 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f,
+ 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f,
+ 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f,
+ 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f,
+ 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f,
+ 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f,
+ 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f,
+ 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f,
+ 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f,
+ 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f,
+ 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f,
+ 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f,
+ 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f,
+ 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f,
+ 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f,
+ 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f,
+ 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f,
+ 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f,
+ 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f,
+ 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f,
+ -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f,
+ -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f,
+ -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f,
+ -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f,
+ -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f,
+ -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f,
+ -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f,
+ -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f,
+ -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f,
+ -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f,
+ -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f,
+ -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f,
+ -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f,
+ -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f,
+ -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f,
+ -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f,
+ -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f,
+ -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f,
+ -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f,
+ -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f,
+ -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f,
+ -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f,
+ -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f,
+ -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f,
+ -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f,
+ -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f,
+ -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f,
+ -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f,
+ -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f,
+ -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f,
+ -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f,
+ -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f,
+ -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f,
+ -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f,
+ -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f,
+ -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f,
+ -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f,
+ -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f,
+ -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f,
+ -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f,
+ -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f,
+ -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f,
+ -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f,
+ -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f,
+ -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f,
+ -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f,
+ -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f,
+ -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f,
+ -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f,
+ -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f,
+ -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f
+};
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
+/**
+ @par
+ Table values are in Q31 (1.31 fixed-point format) and generation is done in
+ three steps. First, generate sin values in floating point:
+
+ tableSize = 512;
+ for (n = 0; n < (tableSize + 1); n++)
+ {
+ sinTable[n] = sin(2*PI*n/tableSize);
+ }
+ where PI value is 3.14159265358979
+ @par
+ Second, convert floating-point to Q31 (Fixed point):
+ (sinTable[i] * pow(2, 31))
+ @par
+ Finally, round to the nearest integer value:
+ sinTable[i] += (sinTable[i] > 0 ? 0.5 : -0.5);
+ */
+const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = {
+ 0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L,
+ 184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L,
+ 341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L,
+ 496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L,
+ 648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L,
+ 797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L,
+ 941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L,
+ 1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L,
+ 1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L,
+ 1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L,
+ 1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L,
+ 1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L,
+ 1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L,
+ 1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L,
+ 1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L,
+ 1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L,
+ 1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L,
+ 2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L,
+ 2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L,
+ 2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L,
+ 2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L,
+ 2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L,
+ 2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L,
+ 2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L,
+ 2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L,
+ 2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L,
+ 2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L,
+ 1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L,
+ 1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L,
+ 1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L,
+ 1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L,
+ 1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L,
+ 1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L,
+ 1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L,
+ 1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L,
+ 1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L,
+ 988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L,
+ 846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L,
+ 698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L,
+ 547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L,
+ 393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L,
+ 236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L,
+ 79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L,
+ -105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L,
+ -262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L,
+ -418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L,
+ -572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L,
+ -723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L,
+ -870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L,
+ -1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L,
+ -1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L,
+ -1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L,
+ -1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L,
+ -1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L,
+ -1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L,
+ -1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L,
+ -1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L,
+ -1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L,
+ -1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L,
+ -1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L,
+ -1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L,
+ -2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L,
+ -2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L,
+ -2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L,
+ -2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L,
+ -2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L,
+ -2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L,
+ -2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L,
+ -2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L,
+ -2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L,
+ -2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L,
+ -2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L,
+ -2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L,
+ -1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L,
+ -1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L,
+ -1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L,
+ -1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L,
+ -1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L,
+ -1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L,
+ -1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L,
+ -1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L,
+ -1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L,
+ -1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L,
+ -1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L,
+ -1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L,
+ -918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L,
+ -772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L,
+ -623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L,
+ -470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L,
+ -315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L,
+ -157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0
+};
+
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
+/**
+ @par
+ Table values are in Q15 (1.15 fixed-point format) and generation is done in
+ three steps. First, generate sin values in floating point:
+
+ tableSize = 512;
+ for (n = 0; n < (tableSize + 1); n++)
+ {
+ sinTable[n] = sin(2*PI*n/tableSize);
+ }
+ where PI value is 3.14159265358979
+ @par
+ Second, convert floating-point to Q15 (Fixed point):
+ (sinTable[i] * pow(2, 15))
+ @par
+ Finally, round to the nearest integer value:
+ sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);
+ */
+const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = {
+ 0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808,
+ 5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512,
+ 9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279,
+ 13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846,
+ 17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160,
+ 20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170,
+ 23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833,
+ 26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106,
+ 28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957,
+ 30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357,
+ 31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286,
+ 32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729,
+ 32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679,
+ 32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138,
+ 32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114,
+ 30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622,
+ 29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684,
+ 27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330,
+ 25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595,
+ 22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520,
+ 19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151,
+ 15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540,
+ 12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351,
+ 7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612,
+ 3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206,
+ -1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205,
+ -5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127,
+ -9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540,
+ -12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800,
+ -16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868,
+ -19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706,
+ -22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279,
+ -24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557,
+ -26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511,
+ -28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118,
+ -30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357,
+ -31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214,
+ -32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679,
+ -32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746,
+ -32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413,
+ -32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686,
+ -31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572,
+ -30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086,
+ -28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246,
+ -27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073,
+ -24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595,
+ -22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841,
+ -19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846,
+ -16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646,
+ -13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279,
+ -9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393,
+ -5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411,
+ -2009, -1608, -1206, -804, -402, 0
+};
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if defined(ARM_MATH_MVEI)
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
+const q31_t sqrtTable_Q31[256] = {
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x5ffffffe, 0x7ffffffa, 0x5e88c596, 0x7a39e2ff,
+ 0x5d2238d8, 0x74dfa6b1, 0x5bcb268e, 0x6fe69562,
+ 0x5a827998, 0x6b454dba, 0x5947373a, 0x66f39063,
+ 0x58187bf8, 0x62ea1669, 0x56f578e6, 0x5f226e5f,
+ 0x55dd714e, 0x5b96df40, 0x54cfb8b0, 0x58424fca,
+ 0x53cbb102, 0x552031c7, 0x52d0c92c, 0x522c7048,
+ 0x51de7bb2, 0x4f6360a9, 0x50f44d86, 0x4cc1b594,
+ 0x5011cd0a, 0x4a4473f6, 0x4f36911a, 0x47e8e962,
+ 0x4e62384e, 0x45aca3d0, 0x4d946838, 0x438d6a6a,
+ 0x4cccccca, 0x41893746, 0x4c0b17c0, 0x3f9e31fa,
+ 0x4b4f0022, 0x3dcaaac3, 0x4a9841ce, 0x3c0d1660,
+ 0x49e69d14, 0x3a640a53, 0x4939d654, 0x38ce39a6,
+ 0x4891b5b2, 0x374a720b, 0x47ee06ba, 0x35d7993c,
+ 0x474e9830, 0x3474aacc, 0x46b33bc0, 0x3320b60c,
+ 0x461bc5d2, 0x31dadc4f, 0x45880d4c, 0x30a24f3c,
+ 0x44f7eb6a, 0x2f764f6a, 0x446b3b92, 0x2e562b0b,
+ 0x43e1db32, 0x2d413cc9, 0x435ba98a, 0x2c36eab0,
+ 0x42d887a4, 0x2b36a542, 0x42585824, 0x2a3fe69b,
+ 0x41daff34, 0x295231b0, 0x41606266, 0x286d118d,
+ 0x40e868a4, 0x279018c3, 0x4072fa10, 0x26bae0c8,
+ 0x3ffffffe, 0x25ed0979, 0x3f8f64d2, 0x25263894,
+ 0x3f2113f8, 0x24661958, 0x3eb4f9d8, 0x23ac5c10,
+ 0x3e4b03ba, 0x22f8b5bb, 0x3de31fc4, 0x224adfba,
+ 0x3d7d3cee, 0x21a2977a, 0x3d194ae8, 0x20ff9e30,
+ 0x3cb73a24, 0x2061b89a, 0x3c56fbba, 0x1fc8aebb,
+ 0x3bf88166, 0x1f344ba6, 0x3b9bbd80, 0x1ea45d4b,
+ 0x3b40a2f0, 0x1e18b448, 0x3ae7252e, 0x1d9123b9,
+ 0x3a8f382c, 0x1d0d8113, 0x3a38d062, 0x1c8da3fb,
+ 0x39e3e2b6, 0x1c116628, 0x39906482, 0x1b98a33c,
+ 0x393e4b8a, 0x1b2338aa, 0x38ed8df6, 0x1ab1059a,
+ 0x389e2250, 0x1a41eace, 0x384fff7a, 0x19d5ca89,
+ 0x38031cb2, 0x196c887b, 0x37b77184, 0x190609a9,
+ 0x376cf5ce, 0x18a2345b, 0x3723a1ba, 0x1840f00a,
+ 0x36db6db6, 0x17e22550, 0x36945276, 0x1785bdd2,
+ 0x364e48f4, 0x172ba43e, 0x36094a64, 0x16d3c42c,
+ 0x35c55036, 0x167e0a1f, 0x35825414, 0x162a6372,
+ 0x35404fde, 0x15d8be4d, 0x34ff3dac, 0x1589099d,
+ 0x34bf17c4, 0x153b3508, 0x347fd89e, 0x14ef30e4,
+ 0x34417ade, 0x14a4ee2a, 0x3403f956, 0x145c5e76,
+ 0x33c74f02, 0x141573fa, 0x338b7706, 0x13d02171,
+ 0x33506cae, 0x138c5a28, 0x33162b6a, 0x134a11e6,
+ 0x32dcaed0, 0x13093cee, 0x32a3f294, 0x12c9cffa,
+ 0x326bf292, 0x128bc034, 0x3234aac0, 0x124f0330,
+ 0x31fe1736, 0x12138ee5, 0x31c83428, 0x11d959b0,
+ 0x3192fde6, 0x11a05a45, 0x315e70de, 0x116887b5,
+ 0x312a8994, 0x1131d960, 0x30f744aa, 0x10fc46fd,
+ 0x30c49ed6, 0x10c7c88b, 0x309294ea, 0x10945653,
+ 0x306123cc, 0x1061e8e6, 0x30304878, 0x10307919
+};
+ #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
+const q15_t sqrtTable_Q15[256] = {
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x5fff, 0x7fff, 0x5e88, 0x7a39,
+ 0x5d22, 0x74df, 0x5bcb, 0x6fe6,
+ 0x5a82, 0x6b45, 0x5947, 0x66f3,
+ 0x5818, 0x62ea, 0x56f5, 0x5f22,
+ 0x55dd, 0x5b96, 0x54cf, 0x5842,
+ 0x53cb, 0x5520, 0x52d0, 0x522c,
+ 0x51de, 0x4f63, 0x50f4, 0x4cc1,
+ 0x5011, 0x4a44, 0x4f36, 0x47e8,
+ 0x4e62, 0x45ac, 0x4d94, 0x438d,
+ 0x4ccc, 0x4189, 0x4c0b, 0x3f9e,
+ 0x4b4f, 0x3dca, 0x4a98, 0x3c0d,
+ 0x49e6, 0x3a64, 0x4939, 0x38ce,
+ 0x4891, 0x374a, 0x47ee, 0x35d7,
+ 0x474e, 0x3474, 0x46b3, 0x3320,
+ 0x461b, 0x31da, 0x4588, 0x30a2,
+ 0x44f7, 0x2f76, 0x446b, 0x2e56,
+ 0x43e1, 0x2d41, 0x435b, 0x2c36,
+ 0x42d8, 0x2b36, 0x4258, 0x2a3f,
+ 0x41da, 0x2952, 0x4160, 0x286d,
+ 0x40e8, 0x2790, 0x4072, 0x26ba,
+ 0x3fff, 0x25ed, 0x3f8f, 0x2526,
+ 0x3f21, 0x2466, 0x3eb4, 0x23ac,
+ 0x3e4b, 0x22f8, 0x3de3, 0x224a,
+ 0x3d7d, 0x21a2, 0x3d19, 0x20ff,
+ 0x3cb7, 0x2061, 0x3c56, 0x1fc8,
+ 0x3bf8, 0x1f34, 0x3b9b, 0x1ea4,
+ 0x3b40, 0x1e18, 0x3ae7, 0x1d91,
+ 0x3a8f, 0x1d0d, 0x3a38, 0x1c8d,
+ 0x39e3, 0x1c11, 0x3990, 0x1b98,
+ 0x393e, 0x1b23, 0x38ed, 0x1ab1,
+ 0x389e, 0x1a41, 0x384f, 0x19d5,
+ 0x3803, 0x196c, 0x37b7, 0x1906,
+ 0x376c, 0x18a2, 0x3723, 0x1840,
+ 0x36db, 0x17e2, 0x3694, 0x1785,
+ 0x364e, 0x172b, 0x3609, 0x16d3,
+ 0x35c5, 0x167e, 0x3582, 0x162a,
+ 0x3540, 0x15d8, 0x34ff, 0x1589,
+ 0x34bf, 0x153b, 0x347f, 0x14ef,
+ 0x3441, 0x14a4, 0x3403, 0x145c,
+ 0x33c7, 0x1415, 0x338b, 0x13d0,
+ 0x3350, 0x138c, 0x3316, 0x134a,
+ 0x32dc, 0x1309, 0x32a3, 0x12c9,
+ 0x326b, 0x128b, 0x3234, 0x124f,
+ 0x31fe, 0x1213, 0x31c8, 0x11d9,
+ 0x3192, 0x11a0, 0x315e, 0x1168,
+ 0x312a, 0x1131, 0x30f7, 0x10fc,
+ 0x30c4, 0x10c7, 0x3092, 0x1094,
+ 0x3061, 0x1061, 0x3030, 0x1030
+};
+ #endif
+#endif /* defined(ARM_MATH_MVEI) */
+
+
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+const float32_t exp_tab[8] = {
+ (1.f),
+ (0.0416598916054f),
+ (0.500000596046f),
+ (0.0014122662833f),
+ (1.00000011921f),
+ (0.00833693705499f),
+ (0.166665703058f),
+ (0.000195780929062f),
+};
+
+const float32_t __logf_lut_f32[8] = {
+ -2.295614848256274, /*p0*/
+ -2.470711633419806, /*p4*/
+ -5.686926051100417, /*p2*/
+ -0.165253547131978, /*p6*/
+ +5.175912446351073, /*p1*/
+ +0.844006986174912, /*p5*/
+ +4.584458825456749, /*p3*/
+ +0.014127821926000 /*p7*/
+};
+
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM))
+
+/* haming weight LUT for bytes */
+#define B2(n) n, n + 1, n + 1, n + 2
+#define B4(n) B2(n) , B2(n + 1), B2(n + 1), B2(n + 2)
+#define B6(n) B4(n) , B4(n + 1), B4(n + 1), B4(n + 2)
+
+// Lookup table that store the reverse of each table
+const unsigned char hwLUT[256] = { B6(0), B6(1), B6(1), B6(2) };
+
+#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
diff --git a/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
new file mode 100644
index 0000000..5d3f7aa
--- /dev/null
+++ b/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
@@ -0,0 +1,663 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_const_structs.c
+ * Description: Constant structs that are initialized for user convenience.
+ * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions.
+ *
+ * $Date: 27. January 2017
+ * $Revision: V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_const_structs.h"
+
+/*
+ALLOW TABLE is true when config table is enabled and the Tramsform folder is included
+for compilation.
+*/
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+/* Floating-point structs */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 = {
+ 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 = {
+ 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 = {
+ 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 = {
+ 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 = {
+ 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 = {
+ 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 = {
+ 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 = {
+ 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 = {
+ 4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH
+};
+#endif
+
+/* Floating-point structs */
+#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE)
+
+/*
+
+Those structures cannot be used to initialize the MVE version of the FFT F32 instances.
+So they are not compiled when MVE is defined.
+
+For the MVE version, the new arm_cfft_init_f32 must be used.
+
+
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = {
+ 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH
+};
+#endif
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = {
+ 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = {
+ 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = {
+ 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = {
+ 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = {
+ 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = {
+ 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = {
+ 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = {
+ 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH
+};
+#endif
+
+#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */
+
+/* Fixed-point structs */
+
+#if !defined(ARM_MATH_MVEI)
+
+/*
+
+Those structures cannot be used to initialize the MVE version of the FFT Q31 instances.
+So they are not compiled when MVE is defined.
+
+For the MVE version, the new arm_cfft_init_f32 must be used.
+
+
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = {
+ 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = {
+ 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = {
+ 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = {
+ 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = {
+ 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = {
+ 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = {
+ 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = {
+ 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = {
+ 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+#endif
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = {
+ 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = {
+ 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = {
+ 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = {
+ 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = {
+ 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = {
+ 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = {
+ 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = {
+ 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = {
+ 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+#endif
+
+#endif /* !defined(ARM_MATH_MVEI) */
+
+/* Structure for real-value inputs */
+/* Double precision strucs */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 = {
+ { 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH },
+ 32U,
+ (float64_t *)twiddleCoefF64_rfft_32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 = {
+ { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH },
+ 64U,
+ (float64_t *)twiddleCoefF64_rfft_64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 = {
+ { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH },
+ 128U,
+ (float64_t *)twiddleCoefF64_rfft_128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 = {
+ { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH },
+ 256U,
+ (float64_t *)twiddleCoefF64_rfft_256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 = {
+ { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH },
+ 512U,
+ (float64_t *)twiddleCoefF64_rfft_512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 = {
+ { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH },
+ 1024U,
+ (float64_t *)twiddleCoefF64_rfft_1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 = {
+ { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH },
+ 2048U,
+ (float64_t *)twiddleCoefF64_rfft_2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 = {
+ { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH },
+ 4096U,
+ (float64_t *)twiddleCoefF64_rfft_4096
+};
+#endif
+
+/* Floating-point structs */
+
+#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = {
+ { 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH },
+ 32U,
+ (float32_t *)twiddleCoef_rfft_32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = {
+ { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH },
+ 64U,
+ (float32_t *)twiddleCoef_rfft_64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = {
+ { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH },
+ 128U,
+ (float32_t *)twiddleCoef_rfft_128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = {
+ { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH },
+ 256U,
+ (float32_t *)twiddleCoef_rfft_256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = {
+ { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH },
+ 512U,
+ (float32_t *)twiddleCoef_rfft_512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = {
+ { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH },
+ 1024U,
+ (float32_t *)twiddleCoef_rfft_1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = {
+ { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH },
+ 2048U,
+ (float32_t *)twiddleCoef_rfft_2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = {
+ { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH },
+ 4096U,
+ (float32_t *)twiddleCoef_rfft_4096
+};
+#endif
+
+#endif /* #if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */
+
+/* Fixed-point structs */
+/* q31_t */
+
+#if !defined(ARM_MATH_MVEI)
+
+/*
+
+Those structures cannot be used to initialize the MVE version of the FFT Q31 instances.
+So they are not compiled when MVE is defined.
+
+For the MVE version, the new arm_cfft_init_f32 must be used.
+
+
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = {
+ 32U,
+ 0,
+ 1,
+ 256U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len16
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = {
+ 64U,
+ 0,
+ 1,
+ 128U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = {
+ 128U,
+ 0,
+ 1,
+ 64U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = {
+ 256U,
+ 0,
+ 1,
+ 32U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = {
+ 512U,
+ 0,
+ 1,
+ 16U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = {
+ 1024U,
+ 0,
+ 1,
+ 8U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = {
+ 2048U,
+ 0,
+ 1,
+ 4U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = {
+ 4096U,
+ 0,
+ 1,
+ 2U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = {
+ 8192U,
+ 0,
+ 1,
+ 1U,
+ (q31_t*)realCoefAQ31,
+ (q31_t*)realCoefBQ31,
+ &arm_cfft_sR_q31_len4096
+};
+#endif
+
+
+
+/* q15_t */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = {
+ 32U,
+ 0,
+ 1,
+ 256U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len16
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = {
+ 64U,
+ 0,
+ 1,
+ 128U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = {
+ 128U,
+ 0,
+ 1,
+ 64U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = {
+ 256U,
+ 0,
+ 1,
+ 32U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = {
+ 512U,
+ 0,
+ 1,
+ 16U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = {
+ 1024U,
+ 0,
+ 1,
+ 8U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = {
+ 2048U,
+ 0,
+ 1,
+ 4U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = {
+ 4096U,
+ 0,
+ 1,
+ 2U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = {
+ 8192U,
+ 0,
+ 1,
+ 1U,
+ (q15_t*)realCoefAQ15,
+ (q15_t*)realCoefBQ15,
+ &arm_cfft_sR_q15_len4096
+};
+#endif
+
+#endif /* !defined(ARM_MATH_MVEI) */
+
+
+#endif
diff --git a/CMSIS/DSP/Source/CommonTables/arm_mve_tables.c b/CMSIS/DSP/Source/CommonTables/arm_mve_tables.c
new file mode 100755
index 0000000..c3d60e0
--- /dev/null
+++ b/CMSIS/DSP/Source/CommonTables/arm_mve_tables.c
@@ -0,0 +1,6542 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mve_tables.c
+ * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc
+ * used for MVE implementation only
+ *
+ * $Date: 08. January 2020
+ * $Revision: V1.7.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#include "arm_math.h"
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]={
+0,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]={
+0,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]={
+0,0,};
+
+float32_t rearranged_twiddle_stride1_16_f32[8]={
+1.00000000000000000000f,0.00000000000000000000f,0.92387953251128673848f,
+0.38268343236508978178f,0.70710678118654757274f,0.70710678118654757274f,
+0.38268343236508983729f,0.92387953251128673848f,};
+
+float32_t rearranged_twiddle_stride2_16_f32[8]={
+1.00000000000000000000f,0.00000000000000000000f,0.70710678118654757274f,
+0.70710678118654757274f,0.00000000000000006123f,1.00000000000000000000f,
+-0.70710678118654746172f,0.70710678118654757274f,};
+
+float32_t rearranged_twiddle_stride3_16_f32[8]={
+1.00000000000000000000f,0.00000000000000000000f,0.38268343236508983729f,
+0.92387953251128673848f,-0.70710678118654746172f,0.70710678118654757274f,
+-0.92387953251128684951f,-0.38268343236508967076f,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]={
+0,32,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]={
+0,32,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]={
+0,32,0,};
+
+float32_t rearranged_twiddle_stride1_64_f32[40]={
+1.00000000000000000000f,0.00000000000000000000f,0.99518472667219692873f,
+0.09801714032956060363f,0.98078528040323043058f,0.19509032201612824808f,
+0.95694033573220882438f,0.29028467725446233105f,0.92387953251128673848f,
+0.38268343236508978178f,0.88192126434835504956f,0.47139673682599764204f,
+0.83146961230254523567f,0.55557023301960217765f,0.77301045336273699338f,
+0.63439328416364548779f,0.70710678118654757274f,0.70710678118654757274f,
+0.63439328416364548779f,0.77301045336273688235f,0.55557023301960228867f,
+0.83146961230254523567f,0.47139673682599780857f,0.88192126434835493853f,
+0.38268343236508983729f,0.92387953251128673848f,0.29028467725446233105f,
+0.95694033573220893540f,0.19509032201612833135f,0.98078528040323043058f,
+0.09801714032956077016f,0.99518472667219681771f,1.00000000000000000000f,
+0.00000000000000000000f,0.92387953251128673848f,0.38268343236508978178f,
+0.70710678118654757274f,0.70710678118654757274f,0.38268343236508983729f,
+0.92387953251128673848f,};
+
+float32_t rearranged_twiddle_stride2_64_f32[40]={
+1.00000000000000000000f,0.00000000000000000000f,0.98078528040323043058f,
+0.19509032201612824808f,0.92387953251128673848f,0.38268343236508978178f,
+0.83146961230254523567f,0.55557023301960217765f,0.70710678118654757274f,
+0.70710678118654757274f,0.55557023301960228867f,0.83146961230254523567f,
+0.38268343236508983729f,0.92387953251128673848f,0.19509032201612833135f,
+0.98078528040323043058f,0.00000000000000006123f,1.00000000000000000000f,
+-0.19509032201612819257f,0.98078528040323043058f,-0.38268343236508972627f,
+0.92387953251128673848f,-0.55557023301960195560f,0.83146961230254534669f,
+-0.70710678118654746172f,0.70710678118654757274f,-0.83146961230254534669f,
+0.55557023301960217765f,-0.92387953251128673848f,0.38268343236508989280f,
+-0.98078528040323043058f,0.19509032201612860891f,1.00000000000000000000f,
+0.00000000000000000000f,0.70710678118654757274f,0.70710678118654757274f,
+0.00000000000000006123f,1.00000000000000000000f,-0.70710678118654746172f,
+0.70710678118654757274f,};
+
+float32_t rearranged_twiddle_stride3_64_f32[40]={
+1.00000000000000000000f,0.00000000000000000000f,0.95694033573220882438f,
+0.29028467725446233105f,0.83146961230254523567f,0.55557023301960217765f,
+0.63439328416364548779f,0.77301045336273688235f,0.38268343236508983729f,
+0.92387953251128673848f,0.09801714032956077016f,0.99518472667219681771f,
+-0.19509032201612819257f,0.98078528040323043058f,-0.47139673682599769755f,
+0.88192126434835504956f,-0.70710678118654746172f,0.70710678118654757274f,
+-0.88192126434835493853f,0.47139673682599780857f,-0.98078528040323043058f,
+0.19509032201612860891f,-0.99518472667219692873f,-0.09801714032956058975f,
+-0.92387953251128684951f,-0.38268343236508967076f,-0.77301045336273710440f,
+-0.63439328416364526575f,-0.55557023301960217765f,-0.83146961230254523567f,
+-0.29028467725446244208f,-0.95694033573220882438f,1.00000000000000000000f,
+0.00000000000000000000f,0.38268343236508983729f,0.92387953251128673848f,
+-0.70710678118654746172f,0.70710678118654757274f,-0.92387953251128684951f,
+-0.38268343236508967076f,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]={
+0,128,160,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]={
+0,128,160,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]={
+0,128,160,0,};
+
+float32_t rearranged_twiddle_stride1_256_f32[168]={
+1.00000000000000000000f,0.00000000000000000000f,0.99969881869620424997f,
+0.02454122852291228812f,0.99879545620517240501f,0.04906767432741801493f,
+0.99729045667869020697f,0.07356456359966742631f,0.99518472667219692873f,
+0.09801714032956060363f,0.99247953459870996706f,0.12241067519921619566f,
+0.98917650996478101444f,0.14673047445536174793f,0.98527764238894122162f,
+0.17096188876030121717f,0.98078528040323043058f,0.19509032201612824808f,
+0.97570213003852857003f,0.21910124015686979759f,0.97003125319454397424f,
+0.24298017990326387094f,0.96377606579543984022f,0.26671275747489836538f,
+0.95694033573220882438f,0.29028467725446233105f,0.94952818059303667475f,
+0.31368174039889151761f,0.94154406518302080631f,0.33688985339222005111f,
+0.93299279883473895669f,0.35989503653498811087f,0.92387953251128673848f,
+0.38268343236508978178f,0.91420975570353069095f,0.40524131400498986100f,
+0.90398929312344333820f,0.42755509343028208491f,0.89322430119551532446f,
+0.44961132965460653965f,0.88192126434835504956f,0.47139673682599764204f,
+0.87008699110871146054f,0.49289819222978403790f,0.85772861000027211809f,
+0.51410274419322166128f,0.84485356524970711689f,0.53499761988709715332f,
+0.83146961230254523567f,0.55557023301960217765f,0.81758481315158371139f,
+0.57580819141784533866f,0.80320753148064494287f,0.59569930449243335691f,
+0.78834642762660622761f,0.61523159058062681925f,0.77301045336273699338f,
+0.63439328416364548779f,0.75720884650648456748f,0.65317284295377675551f,
+0.74095112535495921691f,0.67155895484701833009f,0.72424708295146700276f,
+0.68954054473706682948f,0.70710678118654757274f,0.70710678118654757274f,
+0.68954054473706694051f,0.72424708295146689174f,0.67155895484701833009f,
+0.74095112535495910588f,0.65317284295377686654f,0.75720884650648456748f,
+0.63439328416364548779f,0.77301045336273688235f,0.61523159058062681925f,
+0.78834642762660622761f,0.59569930449243346793f,0.80320753148064483184f,
+0.57580819141784533866f,0.81758481315158371139f,0.55557023301960228867f,
+0.83146961230254523567f,0.53499761988709726435f,0.84485356524970700587f,
+0.51410274419322166128f,0.85772861000027211809f,0.49289819222978409341f,
+0.87008699110871134952f,0.47139673682599780857f,0.88192126434835493853f,
+0.44961132965460659516f,0.89322430119551532446f,0.42755509343028219593f,
+0.90398929312344333820f,0.40524131400498986100f,0.91420975570353069095f,
+0.38268343236508983729f,0.92387953251128673848f,0.35989503653498827740f,
+0.93299279883473884567f,0.33688985339222005111f,0.94154406518302080631f,
+0.31368174039889157312f,0.94952818059303667475f,0.29028467725446233105f,
+0.95694033573220893540f,0.26671275747489842090f,0.96377606579543984022f,
+0.24298017990326398197f,0.97003125319454397424f,0.21910124015686976984f,
+0.97570213003852857003f,0.19509032201612833135f,0.98078528040323043058f,
+0.17096188876030135595f,0.98527764238894122162f,0.14673047445536174793f,
+0.98917650996478101444f,0.12241067519921627893f,0.99247953459870996706f,
+0.09801714032956077016f,0.99518472667219681771f,0.07356456359966745406f,
+0.99729045667869020697f,0.04906767432741812596f,0.99879545620517240501f,
+0.02454122852291226384f,0.99969881869620424997f,1.00000000000000000000f,
+0.00000000000000000000f,0.99518472667219692873f,0.09801714032956060363f,
+0.98078528040323043058f,0.19509032201612824808f,0.95694033573220882438f,
+0.29028467725446233105f,0.92387953251128673848f,0.38268343236508978178f,
+0.88192126434835504956f,0.47139673682599764204f,0.83146961230254523567f,
+0.55557023301960217765f,0.77301045336273699338f,0.63439328416364548779f,
+0.70710678118654757274f,0.70710678118654757274f,0.63439328416364548779f,
+0.77301045336273688235f,0.55557023301960228867f,0.83146961230254523567f,
+0.47139673682599780857f,0.88192126434835493853f,0.38268343236508983729f,
+0.92387953251128673848f,0.29028467725446233105f,0.95694033573220893540f,
+0.19509032201612833135f,0.98078528040323043058f,0.09801714032956077016f,
+0.99518472667219681771f,1.00000000000000000000f,0.00000000000000000000f,
+0.92387953251128673848f,0.38268343236508978178f,0.70710678118654757274f,
+0.70710678118654757274f,0.38268343236508983729f,0.92387953251128673848f,};
+
+float32_t rearranged_twiddle_stride2_256_f32[168]={
+1.00000000000000000000f,0.00000000000000000000f,0.99879545620517240501f,
+0.04906767432741801493f,0.99518472667219692873f,0.09801714032956060363f,
+0.98917650996478101444f,0.14673047445536174793f,0.98078528040323043058f,
+0.19509032201612824808f,0.97003125319454397424f,0.24298017990326387094f,
+0.95694033573220882438f,0.29028467725446233105f,0.94154406518302080631f,
+0.33688985339222005111f,0.92387953251128673848f,0.38268343236508978178f,
+0.90398929312344333820f,0.42755509343028208491f,0.88192126434835504956f,
+0.47139673682599764204f,0.85772861000027211809f,0.51410274419322166128f,
+0.83146961230254523567f,0.55557023301960217765f,0.80320753148064494287f,
+0.59569930449243335691f,0.77301045336273699338f,0.63439328416364548779f,
+0.74095112535495921691f,0.67155895484701833009f,0.70710678118654757274f,
+0.70710678118654757274f,0.67155895484701833009f,0.74095112535495910588f,
+0.63439328416364548779f,0.77301045336273688235f,0.59569930449243346793f,
+0.80320753148064483184f,0.55557023301960228867f,0.83146961230254523567f,
+0.51410274419322166128f,0.85772861000027211809f,0.47139673682599780857f,
+0.88192126434835493853f,0.42755509343028219593f,0.90398929312344333820f,
+0.38268343236508983729f,0.92387953251128673848f,0.33688985339222005111f,
+0.94154406518302080631f,0.29028467725446233105f,0.95694033573220893540f,
+0.24298017990326398197f,0.97003125319454397424f,0.19509032201612833135f,
+0.98078528040323043058f,0.14673047445536174793f,0.98917650996478101444f,
+0.09801714032956077016f,0.99518472667219681771f,0.04906767432741812596f,
+0.99879545620517240501f,0.00000000000000006123f,1.00000000000000000000f,
+-0.04906767432741800800f,0.99879545620517240501f,-0.09801714032956064526f,
+0.99518472667219692873f,-0.14673047445536163691f,0.98917650996478101444f,
+-0.19509032201612819257f,0.98078528040323043058f,-0.24298017990326387094f,
+0.97003125319454397424f,-0.29028467725446216452f,0.95694033573220893540f,
+-0.33688985339221994009f,0.94154406518302080631f,-0.38268343236508972627f,
+0.92387953251128673848f,-0.42755509343028186287f,0.90398929312344344922f,
+-0.47139673682599769755f,0.88192126434835504956f,-0.51410274419322155026f,
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+-0.59569930449243335691f,0.80320753148064494287f,-0.63439328416364537677f,
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+
+float32_t rearranged_twiddle_stride3_256_f32[168]={
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+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5]={
+0,512,640,672,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5]={
+0,512,640,672,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5]={
+0,512,640,672,0,};
+
+float32_t rearranged_twiddle_stride1_1024_f32[680]={
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+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) || defined(ARM_TABLE_TWIDDLECOEF_F32_8192)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6]={
+0,2048,2560,2688,2720,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6]={
+0,2048,2560,2688,2720,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6]={
+0,2048,2560,2688,2720,0,};
+
+float32_t rearranged_twiddle_stride1_4096_f32[2728]={
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+0.63439328416364548779f,0.77301045336273688235f,0.38268343236508983729f,
+0.92387953251128673848f,0.09801714032956077016f,0.99518472667219681771f,
+-0.19509032201612819257f,0.98078528040323043058f,-0.47139673682599769755f,
+0.88192126434835504956f,-0.70710678118654746172f,0.70710678118654757274f,
+-0.88192126434835493853f,0.47139673682599780857f,-0.98078528040323043058f,
+0.19509032201612860891f,-0.99518472667219692873f,-0.09801714032956058975f,
+-0.92387953251128684951f,-0.38268343236508967076f,-0.77301045336273710440f,
+-0.63439328416364526575f,-0.55557023301960217765f,-0.83146961230254523567f,
+-0.29028467725446244208f,-0.95694033573220882438f,1.00000000000000000000f,
+0.00000000000000000000f,0.38268343236508983729f,0.92387953251128673848f,
+-0.70710678118654746172f,0.70710678118654757274f,-0.92387953251128684951f,
+-0.38268343236508967076f,};
+
+#endif
+
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+#include "arm_math.h"
+
+#if defined(ARM_MATH_MVEI)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2]={
+0,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]={
+0,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]={
+0,0,};
+
+q31_t rearranged_twiddle_stride1_16_q31[8]={
+0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,
+0x89BE50C3,};
+
+q31_t rearranged_twiddle_stride2_16_q31[8]={
+0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666,
+0xA57D8666,};
+
+q31_t rearranged_twiddle_stride3_16_q31[8]={
+0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,
+0x30FBC54D,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]={
+0,32,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]={
+0,32,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]={
+0,32,0,};
+
+q31_t rearranged_twiddle_stride1_64_q31[40]={
+0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B,
+0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319,
+0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7,
+0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5,
+0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D,
+0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,};
+
+q31_t rearranged_twiddle_stride2_64_q31[40]={
+0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4,
+0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3,
+0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3,
+0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319,
+0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A,
+0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,};
+
+q31_t rearranged_twiddle_stride3_64_q31[40]={
+0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94,
+0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0,
+0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0,
+0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94,
+0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D,
+0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]={
+0,128,160,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]={
+0,128,160,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]={
+0,128,160,0,};
+
+q31_t rearranged_twiddle_stride1_256_q31[168]={
+0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,0x7FA736B4,
+0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,0xED37EF91,
+0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE,
+0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8,
+0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345,
+0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590,
+0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4,
+0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B,
+0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0,
+0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376,
+0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4,
+0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0,
+0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32,
+0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3,
+0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E,
+0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E,
+0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B,
+0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872,
+0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,
+0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,
+0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,
+0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,
+0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,
+0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,};
+
+q31_t rearranged_twiddle_stride2_256_q31[168]={
+0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC,
+0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2,
+0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6,
+0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C,
+0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2,
+0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C,
+0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D,
+0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412,
+0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C,
+0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971,
+0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2,
+0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F,
+0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C,
+0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666,
+0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C,
+0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC,
+0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412,
+0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2,
+0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,
+0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,
+0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,
+0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,
+0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,
+0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,};
+
+q31_t rearranged_twiddle_stride3_256_q31[168]={
+0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2,
+0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC,
+0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A,
+0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F,
+0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928,
+0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971,
+0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4,
+0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB,
+0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510,
+0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C,
+0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC,
+0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5,
+0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16,
+0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D,
+0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54,
+0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926,
+0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E,
+0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC,
+0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,
+0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,
+0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,
+0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,
+0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,
+0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]={
+0,512,640,672,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]={
+0,512,640,672,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]={
+0,512,640,672,0,};
+
+q31_t rearranged_twiddle_stride1_1024_q31[680]={
+0x7FFFFFFF,0x00000000,0x7FFF6216,0xFF36F078,0x7FFD885A,0xFE6DE2E0,0x7FFA72D1,
+0xFDA4D929,0x7FF62182,0xFCDBD541,0x7FF09478,0xFC12D91A,0x7FE9CBC0,0xFB49E6A3,
+0x7FE1C76B,0xFA80FFCB,0x7FD8878E,0xF9B82684,0x7FCE0C3E,0xF8EF5CBB,0x7FC25596,
+0xF826A462,0x7FB563B3,0xF75DFF66,0x7FA736B4,0xF6956FB7,0x7F97CEBD,0xF5CCF743,
+0x7F872BF3,0xF50497FB,0x7F754E80,0xF43C53CB,0x7F62368F,0xF3742CA2,0x7F4DE451,
+0xF2AC246E,0x7F3857F6,0xF1E43D1C,0x7F2191B4,0xF11C789A,0x7F0991C4,0xF054D8D5,
+0x7EF05860,0xEF8D5FB8,0x7ED5E5C6,0xEEC60F31,0x7EBA3A39,0xEDFEE92B,0x7E9D55FC,
+0xED37EF91,0x7E7F3957,0xEC71244F,0x7E5FE493,0xEBAA894F,0x7E3F57FF,0xEAE4207A,
+0x7E1D93EA,0xEA1DEBBB,0x7DFA98A8,0xE957ECFB,0x7DD6668F,0xE8922622,0x7DB0FDF8,
+0xE7CC9917,0x7D8A5F40,0xE70747C4,0x7D628AC6,0xE642340D,0x7D3980EC,0xE57D5FDA,
+0x7D0F4218,0xE4B8CD11,0x7CE3CEB2,0xE3F47D96,0x7CB72724,0xE330734D,0x7C894BDE,
+0xE26CB01B,0x7C5A3D50,0xE1A935E2,0x7C29FBEE,0xE0E60685,0x7BF88830,0xE02323E5,
+0x7BC5E290,0xDF608FE4,0x7B920B89,0xDE9E4C60,0x7B5D039E,0xDDDC5B3B,0x7B26CB4F,
+0xDD1ABE51,0x7AEF6323,0xDC597781,0x7AB6CBA4,0xDB9888A8,0x7A7D055B,0xDAD7F3A2,
+0x7A4210D8,0xDA17BA4A,0x7A05EEAD,0xD957DE7A,0x79C89F6E,0xD898620C,0x798A23B1,
+0xD7D946D8,0x794A7C12,0xD71A8EB5,0x7909A92D,0xD65C3B7B,0x78C7ABA2,0xD59E4EFF,
+0x78848414,0xD4E0CB15,0x78403329,0xD423B191,0x77FAB989,0xD3670446,0x77B417DF,
+0xD2AAC504,0x776C4EDB,0xD1EEF59E,0x77235F2D,0xD13397E2,0x76D94989,0xD078AD9E,
+0x768E0EA6,0xCFBE389F,0x7641AF3D,0xCF043AB3,0x75F42C0B,0xCE4AB5A2,0x75A585CF,
+0xCD91AB39,0x7555BD4C,0xCCD91D3D,0x7504D345,0xCC210D79,0x74B2C884,0xCB697DB0,
+0x745F9DD1,0xCAB26FA9,0x740B53FB,0xC9FBE527,0x73B5EBD1,0xC945DFEC,0x735F6626,
+0xC89061BA,0x7307C3D0,0xC7DB6C50,0x72AF05A7,0xC727016D,0x72552C85,0xC67322CE,
+0x71FA3949,0xC5BFD22E,0x719E2CD2,0xC50D1149,0x71410805,0xC45AE1D7,0x70E2CBC6,
+0xC3A94590,0x708378FF,0xC2F83E2A,0x7023109A,0xC247CD5A,0x6FC19385,0xC197F4D4,
+0x6F5F02B2,0xC0E8B648,0x6EFB5F12,0xC03A1368,0x6E96A99D,0xBF8C0DE3,0x6E30E34A,
+0xBEDEA765,0x6DCA0D14,0xBE31E19B,0x6D6227FA,0xBD85BE30,0x6CF934FC,0xBCDA3ECB,
+0x6C8F351C,0xBC2F6513,0x6C242960,0xBB8532B0,0x6BB812D1,0xBADBA943,0x6B4AF279,
+0xBA32CA71,0x6ADCC964,0xB98A97D8,0x6A6D98A4,0xB8E31319,0x69FD614A,0xB83C3DD1,
+0x698C246C,0xB796199B,0x6919E320,0xB6F0A812,0x68A69E81,0xB64BEACD,0x683257AB,
+0xB5A7E362,0x67BD0FBD,0xB5049368,0x6746C7D8,0xB461FC70,0x66CF8120,0xB3C0200C,
+0x66573CBB,0xB31EFFCC,0x65DDFBD3,0xB27E9D3C,0x6563BF92,0xB1DEF9E9,0x64E88926,
+0xB140175B,0x646C59BF,0xB0A1F71D,0x63EF3290,0xB0049AB3,0x637114CC,0xAF6803A2,
+0x62F201AC,0xAECC336C,0x6271FA69,0xAE312B92,0x61F1003F,0xAD96ED92,0x616F146C,
+0xACFD7AE8,0x60EC3830,0xAC64D510,0x60686CCF,0xABCCFD83,0x5FE3B38D,0xAB35F5B5,
+0x5F5E0DB3,0xAA9FBF1E,0x5ED77C8A,0xAA0A5B2E,0x5E50015D,0xA975CB57,0x5DC79D7C,
+0xA8E21106,0x5D3E5237,0xA84F2DAA,0x5CB420E0,0xA7BD22AC,0x5C290ACC,0xA72BF174,
+0x5B9D1154,0xA69B9B68,0x5B1035CF,0xA60C21EE,0x5A82799A,0xA57D8666,0x59F3DE12,
+0xA4EFCA31,0x59646498,0xA462EEAC,0x58D40E8C,0xA3D6F534,0x5842DD54,0xA34BDF20,
+0x57B0D256,0xA2C1ADC9,0x571DEEFA,0xA2386284,0x568A34A9,0xA1AFFEA3,0x55F5A4D2,
+0xA1288376,0x556040E2,0xA0A1F24D,0x54CA0A4B,0xA01C4C73,0x5433027D,0x9F979331,
+0x539B2AF0,0x9F13C7D0,0x53028518,0x9E90EB94,0x5269126E,0x9E0EFFC1,0x51CED46E,
+0x9D8E0597,0x5133CC94,0x9D0DFE54,0x5097FC5E,0x9C8EEB34,0x4FFB654D,0x9C10CD70,
+0x4F5E08E3,0x9B93A641,0x4EBFE8A5,0x9B1776DA,0x4E210617,0x9A9C406E,0x4D8162C4,
+0x9A22042D,0x4CE10034,0x99A8C345,0x4C3FDFF4,0x99307EE0,0x4B9E0390,0x98B93828,
+0x4AFB6C98,0x9842F043,0x4A581C9E,0x97CDA855,0x49B41533,0x9759617F,0x490F57EE,
+0x96E61CE0,0x4869E665,0x9673DB94,0x47C3C22F,0x96029EB6,0x471CECE7,0x9592675C,
+0x46756828,0x9523369C,0x45CD358F,0x94B50D87,0x452456BD,0x9447ED2F,0x447ACD50,
+0x93DBD6A0,0x43D09AED,0x9370CAE4,0x4325C135,0x9306CB04,0x427A41D0,0x929DD806,
+0x41CE1E65,0x9235F2EC,0x4121589B,0x91CF1CB6,0x4073F21D,0x91695663,0x3FC5EC98,
+0x9104A0EE,0x3F1749B8,0x90A0FD4E,0x3E680B2C,0x903E6C7B,0x3DB832A6,0x8FDCEF66,
+0x3D07C1D6,0x8F7C8701,0x3C56BA70,0x8F1D343A,0x3BA51E29,0x8EBEF7FB,0x3AF2EEB7,
+0x8E61D32E,0x3A402DD2,0x8E05C6B7,0x398CDD32,0x8DAAD37B,0x38D8FE93,0x8D50FA59,
+0x382493B0,0x8CF83C30,0x376F9E46,0x8CA099DA,0x36BA2014,0x8C4A142F,0x36041AD9,
+0x8BF4AC05,0x354D9057,0x8BA0622F,0x34968250,0x8B4D377C,0x33DEF287,0x8AFB2CBB,
+0x3326E2C3,0x8AAA42B4,0x326E54C7,0x8A5A7A31,0x31B54A5E,0x8A0BD3F5,0x30FBC54D,
+0x89BE50C3,0x3041C761,0x8971F15A,0x2F875262,0x8926B677,0x2ECC681E,0x88DCA0D3,
+0x2E110A62,0x8893B125,0x2D553AFC,0x884BE821,0x2C98FBBA,0x88054677,0x2BDC4E6F,
+0x87BFCCD7,0x2B1F34EB,0x877B7BEC,0x2A61B101,0x8738545E,0x29A3C485,0x86F656D3,
+0x28E5714B,0x86B583EE,0x2826B928,0x8675DC4F,0x27679DF4,0x86376092,0x26A82186,
+0x85FA1153,0x25E845B6,0x85BDEF28,0x25280C5E,0x8582FAA5,0x24677758,0x8549345C,
+0x23A6887F,0x85109CDD,0x22E541AF,0x84D934B1,0x2223A4C5,0x84A2FC62,0x2161B3A0,
+0x846DF477,0x209F701C,0x843A1D70,0x1FDCDC1B,0x840777D0,0x1F19F97B,0x83D60412,
+0x1E56CA1E,0x83A5C2B0,0x1D934FE5,0x8376B422,0x1CCF8CB3,0x8348D8DC,0x1C0B826A,
+0x831C314E,0x1B4732EF,0x82F0BDE8,0x1A82A026,0x82C67F14,0x19BDCBF3,0x829D753A,
+0x18F8B83C,0x8275A0C0,0x183366E9,0x824F0208,0x176DD9DE,0x82299971,0x16A81305,
+0x82056758,0x15E21445,0x81E26C16,0x151BDF86,0x81C0A801,0x145576B1,0x81A01B6D,
+0x138EDBB1,0x8180C6A9,0x12C8106F,0x8162AA04,0x120116D5,0x8145C5C7,0x1139F0CF,
+0x812A1A3A,0x1072A048,0x810FA7A0,0x0FAB272B,0x80F66E3C,0x0EE38766,0x80DE6E4C,
+0x0E1BC2E4,0x80C7A80A,0x0D53DB92,0x80B21BAF,0x0C8BD35E,0x809DC971,0x0BC3AC35,
+0x808AB180,0x0AFB6805,0x8078D40D,0x0A3308BD,0x80683143,0x096A9049,0x8058C94C,
+0x08A2009A,0x804A9C4D,0x07D95B9E,0x803DAA6A,0x0710A345,0x8031F3C2,0x0647D97C,
+0x80277872,0x057F0035,0x801E3895,0x04B6195D,0x80163440,0x03ED26E6,0x800F6B88,
+0x03242ABF,0x8009DE7E,0x025B26D7,0x80058D2F,0x01921D20,0x800277A6,0x00C90F88,
+0x80009DEA,0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,
+0x7FA736B4,0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,
+0xED37EF91,0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,
+0x7C29FBEE,0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,
+0xD7D946D8,0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,
+0x7504D345,0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,
+0xC3A94590,0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,
+0x6A6D98A4,0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,
+0xB140175B,0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,
+0x5CB420E0,0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,
+0xA1288376,0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,
+0x4C3FDFF4,0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,
+0x93DBD6A0,0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,
+0x398CDD32,0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,
+0x89BE50C3,0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,
+0x25280C5E,0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,
+0x831C314E,0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,
+0x0FAB272B,0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,
+0x80277872,0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,
+0x7D8A5F40,0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,
+0xC3A94590,0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,
+0x5133CC94,0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,
+0x89BE50C3,0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,
+0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,
+0x89BE50C3,};
+
+q31_t rearranged_twiddle_stride2_1024_q31[680]={
+0x7FFFFFFF,0x00000000,0x7FFD885A,0xFE6DE2E0,0x7FF62182,0xFCDBD541,0x7FE9CBC0,
+0xFB49E6A3,0x7FD8878E,0xF9B82684,0x7FC25596,0xF826A462,0x7FA736B4,0xF6956FB7,
+0x7F872BF3,0xF50497FB,0x7F62368F,0xF3742CA2,0x7F3857F6,0xF1E43D1C,0x7F0991C4,
+0xF054D8D5,0x7ED5E5C6,0xEEC60F31,0x7E9D55FC,0xED37EF91,0x7E5FE493,0xEBAA894F,
+0x7E1D93EA,0xEA1DEBBB,0x7DD6668F,0xE8922622,0x7D8A5F40,0xE70747C4,0x7D3980EC,
+0xE57D5FDA,0x7CE3CEB2,0xE3F47D96,0x7C894BDE,0xE26CB01B,0x7C29FBEE,0xE0E60685,
+0x7BC5E290,0xDF608FE4,0x7B5D039E,0xDDDC5B3B,0x7AEF6323,0xDC597781,0x7A7D055B,
+0xDAD7F3A2,0x7A05EEAD,0xD957DE7A,0x798A23B1,0xD7D946D8,0x7909A92D,0xD65C3B7B,
+0x78848414,0xD4E0CB15,0x77FAB989,0xD3670446,0x776C4EDB,0xD1EEF59E,0x76D94989,
+0xD078AD9E,0x7641AF3D,0xCF043AB3,0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79,
+0x745F9DD1,0xCAB26FA9,0x73B5EBD1,0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85,
+0xC67322CE,0x719E2CD2,0xC50D1149,0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A,
+0x6F5F02B2,0xC0E8B648,0x6E96A99D,0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC,
+0xBCDA3ECB,0x6C242960,0xBB8532B0,0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319,
+0x698C246C,0xB796199B,0x68A69E81,0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120,
+0xB3C0200C,0x65DDFBD3,0xB27E9D3C,0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3,
+0x62F201AC,0xAECC336C,0x61F1003F,0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D,
+0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E,0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC,
+0x5B9D1154,0xA69B9B68,0x5A82799A,0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54,
+0xA34BDF20,0x571DEEFA,0xA2386284,0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73,
+0x539B2AF0,0x9F13C7D0,0x5269126E,0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D,
+0x9C10CD70,0x4EBFE8A5,0x9B1776DA,0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0,
+0x4AFB6C98,0x9842F043,0x49B41533,0x9759617F,0x4869E665,0x9673DB94,0x471CECE7,
+0x9592675C,0x45CD358F,0x94B50D87,0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04,
+0x41CE1E65,0x9235F2EC,0x4073F21D,0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6,
+0x8FDCEF66,0x3C56BA70,0x8F1D343A,0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B,
+0x382493B0,0x8CF83C30,0x36BA2014,0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287,
+0x8AFB2CBB,0x326E54C7,0x8A5A7A31,0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677,
+0x2E110A62,0x8893B125,0x2C98FBBA,0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485,
+0x86F656D3,0x2826B928,0x8675DC4F,0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5,
+0x23A6887F,0x85109CDD,0x2223A4C5,0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B,
+0x83D60412,0x1D934FE5,0x8376B422,0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14,
+0x18F8B83C,0x8275A0C0,0x176DD9DE,0x82299971,0x15E21445,0x81E26C16,0x145576B1,
+0x81A01B6D,0x12C8106F,0x8162AA04,0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C,
+0x0E1BC2E4,0x80C7A80A,0x0C8BD35E,0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049,
+0x8058C94C,0x07D95B9E,0x803DAA6A,0x0647D97C,0x80277872,0x04B6195D,0x80163440,
+0x03242ABF,0x8009DE7E,0x01921D20,0x800277A6,0x00000000,0x80000000,0xFE6DE2E0,
+0x800277A6,0xFCDBD541,0x8009DE7E,0xFB49E6A3,0x80163440,0xF9B82684,0x80277872,
+0xF826A462,0x803DAA6A,0xF6956FB7,0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2,
+0x809DC971,0xF1E43D1C,0x80C7A80A,0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A,
+0xED37EF91,0x8162AA04,0xEBAA894F,0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622,
+0x82299971,0xE70747C4,0x8275A0C0,0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E,
+0xE26CB01B,0x8376B422,0xE0E60685,0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B,
+0x84A2FC62,0xDC597781,0x85109CDD,0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153,
+0xD7D946D8,0x8675DC4F,0xD65C3B7B,0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446,
+0x88054677,0xD1EEF59E,0x8893B125,0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3,
+0xCD91AB39,0x8A5A7A31,0xCC210D79,0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC,
+0x8C4A142F,0xC7DB6C50,0x8CF83C30,0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E,
+0xC3A94590,0x8F1D343A,0xC247CD5A,0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3,
+0x91695663,0xBE31E19B,0x9235F2EC,0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0,
+0xBA32CA71,0x94B50D87,0xB8E31319,0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD,
+0x9759617F,0xB5049368,0x9842F043,0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D,
+0xB140175B,0x9B1776DA,0xB0049AB3,0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92,
+0x9E0EFFC1,0xAC64D510,0x9F13C7D0,0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376,
+0xA8E21106,0xA2386284,0xA7BD22AC,0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666,
+0xA57D8666,0xA462EEAC,0xA69B9B68,0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106,
+0xA1288376,0xAA0A5B2E,0xA01C4C73,0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1,
+0xAD96ED92,0x9D0DFE54,0xAECC336C,0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B,
+0x9A22042D,0xB27E9D3C,0x99307EE0,0xB3C0200C,0x9842F043,0xB5049368,0x9759617F,
+0xB64BEACD,0x9673DB94,0xB796199B,0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71,
+0x93DBD6A0,0xBB8532B0,0x9306CB04,0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663,
+0xBF8C0DE3,0x90A0FD4E,0xC0E8B648,0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590,
+0x8E61D32E,0xC50D1149,0x8DAAD37B,0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F,
+0xC945DFEC,0x8BA0622F,0xCAB26FA9,0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39,
+0x89BE50C3,0xCF043AB3,0x8926B677,0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677,
+0xD3670446,0x877B7BEC,0xD4E0CB15,0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8,
+0x85FA1153,0xD957DE7A,0x8582FAA5,0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62,
+0xDDDC5B3B,0x843A1D70,0xDF608FE4,0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B,
+0x831C314E,0xE3F47D96,0x82C67F14,0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971,
+0xE8922622,0x81E26C16,0xEA1DEBBB,0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91,
+0x812A1A3A,0xEEC60F31,0x80F66E3C,0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971,
+0xF3742CA2,0x8078D40D,0xF50497FB,0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462,
+0x80277872,0xF9B82684,0x80163440,0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6,
+0xFE6DE2E0,0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,
+0x7E9D55FC,0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,
+0xDAD7F3A2,0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,
+0x70E2CBC6,0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,
+0xB3C0200C,0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,
+0x55F5A4D2,0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,
+0x9592675C,0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,
+0x30FBC54D,0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,
+0x83D60412,0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,
+0x0647D97C,0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2,
+0x809DC971,0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,
+0xDAD7F3A2,0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,
+0x8C4A142F,0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,
+0xB3C0200C,0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,
+0xA57D8666,0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,
+0x9592675C,0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,
+0xC945DFEC,0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,
+0x83D60412,0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,
+0xF3742CA2,0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,
+0x7641AF3D,0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,
+0x9592675C,0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,
+0xE70747C4,0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,
+0xA57D8666,0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,
+0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666,
+0xA57D8666,};
+
+q31_t rearranged_twiddle_stride3_1024_q31[680]={
+0x7FFFFFFF,0x00000000,0x7FFA72D1,0xFDA4D929,0x7FE9CBC0,0xFB49E6A3,0x7FCE0C3E,
+0xF8EF5CBB,0x7FA736B4,0xF6956FB7,0x7F754E80,0xF43C53CB,0x7F3857F6,0xF1E43D1C,
+0x7EF05860,0xEF8D5FB8,0x7E9D55FC,0xED37EF91,0x7E3F57FF,0xEAE4207A,0x7DD6668F,
+0xE8922622,0x7D628AC6,0xE642340D,0x7CE3CEB2,0xE3F47D96,0x7C5A3D50,0xE1A935E2,
+0x7BC5E290,0xDF608FE4,0x7B26CB4F,0xDD1ABE51,0x7A7D055B,0xDAD7F3A2,0x79C89F6E,
+0xD898620C,0x7909A92D,0xD65C3B7B,0x78403329,0xD423B191,0x776C4EDB,0xD1EEF59E,
+0x768E0EA6,0xCFBE389F,0x75A585CF,0xCD91AB39,0x74B2C884,0xCB697DB0,0x73B5EBD1,
+0xC945DFEC,0x72AF05A7,0xC727016D,0x719E2CD2,0xC50D1149,0x708378FF,0xC2F83E2A,
+0x6F5F02B2,0xC0E8B648,0x6E30E34A,0xBEDEA765,0x6CF934FC,0xBCDA3ECB,0x6BB812D1,
+0xBADBA943,0x6A6D98A4,0xB8E31319,0x6919E320,0xB6F0A812,0x67BD0FBD,0xB5049368,
+0x66573CBB,0xB31EFFCC,0x64E88926,0xB140175B,0x637114CC,0xAF6803A2,0x61F1003F,
+0xAD96ED92,0x60686CCF,0xABCCFD83,0x5ED77C8A,0xAA0A5B2E,0x5D3E5237,0xA84F2DAA,
+0x5B9D1154,0xA69B9B68,0x59F3DE12,0xA4EFCA31,0x5842DD54,0xA34BDF20,0x568A34A9,
+0xA1AFFEA3,0x54CA0A4B,0xA01C4C73,0x53028518,0x9E90EB94,0x5133CC94,0x9D0DFE54,
+0x4F5E08E3,0x9B93A641,0x4D8162C4,0x9A22042D,0x4B9E0390,0x98B93828,0x49B41533,
+0x9759617F,0x47C3C22F,0x96029EB6,0x45CD358F,0x94B50D87,0x43D09AED,0x9370CAE4,
+0x41CE1E65,0x9235F2EC,0x3FC5EC98,0x9104A0EE,0x3DB832A6,0x8FDCEF66,0x3BA51E29,
+0x8EBEF7FB,0x398CDD32,0x8DAAD37B,0x376F9E46,0x8CA099DA,0x354D9057,0x8BA0622F,
+0x3326E2C3,0x8AAA42B4,0x30FBC54D,0x89BE50C3,0x2ECC681E,0x88DCA0D3,0x2C98FBBA,
+0x88054677,0x2A61B101,0x8738545E,0x2826B928,0x8675DC4F,0x25E845B6,0x85BDEF28,
+0x23A6887F,0x85109CDD,0x2161B3A0,0x846DF477,0x1F19F97B,0x83D60412,0x1CCF8CB3,
+0x8348D8DC,0x1A82A026,0x82C67F14,0x183366E9,0x824F0208,0x15E21445,0x81E26C16,
+0x138EDBB1,0x8180C6A9,0x1139F0CF,0x812A1A3A,0x0EE38766,0x80DE6E4C,0x0C8BD35E,
+0x809DC971,0x0A3308BD,0x80683143,0x07D95B9E,0x803DAA6A,0x057F0035,0x801E3895,
+0x03242ABF,0x8009DE7E,0x00C90F88,0x80009DEA,0xFE6DE2E0,0x800277A6,0xFC12D91A,
+0x800F6B88,0xF9B82684,0x80277872,0xF75DFF66,0x804A9C4D,0xF50497FB,0x8078D40D,
+0xF2AC246E,0x80B21BAF,0xF054D8D5,0x80F66E3C,0xEDFEE92B,0x8145C5C7,0xEBAA894F,
+0x81A01B6D,0xE957ECFB,0x82056758,0xE70747C4,0x8275A0C0,0xE4B8CD11,0x82F0BDE8,
+0xE26CB01B,0x8376B422,0xE02323E5,0x840777D0,0xDDDC5B3B,0x84A2FC62,0xDB9888A8,
+0x8549345C,0xD957DE7A,0x85FA1153,0xD71A8EB5,0x86B583EE,0xD4E0CB15,0x877B7BEC,
+0xD2AAC504,0x884BE821,0xD078AD9E,0x8926B677,0xCE4AB5A2,0x8A0BD3F5,0xCC210D79,
+0x8AFB2CBB,0xC9FBE527,0x8BF4AC05,0xC7DB6C50,0x8CF83C30,0xC5BFD22E,0x8E05C6B7,
+0xC3A94590,0x8F1D343A,0xC197F4D4,0x903E6C7B,0xBF8C0DE3,0x91695663,0xBD85BE30,
+0x929DD806,0xBB8532B0,0x93DBD6A0,0xB98A97D8,0x9523369C,0xB796199B,0x9673DB94,
+0xB5A7E362,0x97CDA855,0xB3C0200C,0x99307EE0,0xB1DEF9E9,0x9A9C406E,0xB0049AB3,
+0x9C10CD70,0xAE312B92,0x9D8E0597,0xAC64D510,0x9F13C7D0,0xAA9FBF1E,0xA0A1F24D,
+0xA8E21106,0xA2386284,0xA72BF174,0xA3D6F534,0xA57D8666,0xA57D8666,0xA3D6F534,
+0xA72BF174,0xA2386284,0xA8E21106,0xA0A1F24D,0xAA9FBF1E,0x9F13C7D0,0xAC64D510,
+0x9D8E0597,0xAE312B92,0x9C10CD70,0xB0049AB3,0x9A9C406E,0xB1DEF9E9,0x99307EE0,
+0xB3C0200C,0x97CDA855,0xB5A7E362,0x9673DB94,0xB796199B,0x9523369C,0xB98A97D8,
+0x93DBD6A0,0xBB8532B0,0x929DD806,0xBD85BE30,0x91695663,0xBF8C0DE3,0x903E6C7B,
+0xC197F4D4,0x8F1D343A,0xC3A94590,0x8E05C6B7,0xC5BFD22E,0x8CF83C30,0xC7DB6C50,
+0x8BF4AC05,0xC9FBE527,0x8AFB2CBB,0xCC210D79,0x8A0BD3F5,0xCE4AB5A2,0x8926B677,
+0xD078AD9E,0x884BE821,0xD2AAC504,0x877B7BEC,0xD4E0CB15,0x86B583EE,0xD71A8EB5,
+0x85FA1153,0xD957DE7A,0x8549345C,0xDB9888A8,0x84A2FC62,0xDDDC5B3B,0x840777D0,
+0xE02323E5,0x8376B422,0xE26CB01B,0x82F0BDE8,0xE4B8CD11,0x8275A0C0,0xE70747C4,
+0x82056758,0xE957ECFB,0x81A01B6D,0xEBAA894F,0x8145C5C7,0xEDFEE92B,0x80F66E3C,
+0xF054D8D5,0x80B21BAF,0xF2AC246E,0x8078D40D,0xF50497FB,0x804A9C4D,0xF75DFF66,
+0x80277872,0xF9B82684,0x800F6B88,0xFC12D91A,0x800277A6,0xFE6DE2E0,0x80009DEA,
+0x00C90F88,0x8009DE7E,0x03242ABF,0x801E3895,0x057F0035,0x803DAA6A,0x07D95B9E,
+0x80683143,0x0A3308BD,0x809DC971,0x0C8BD35E,0x80DE6E4C,0x0EE38766,0x812A1A3A,
+0x1139F0CF,0x8180C6A9,0x138EDBB1,0x81E26C16,0x15E21445,0x824F0208,0x183366E9,
+0x82C67F14,0x1A82A026,0x8348D8DC,0x1CCF8CB3,0x83D60412,0x1F19F97B,0x846DF477,
+0x2161B3A0,0x85109CDD,0x23A6887F,0x85BDEF28,0x25E845B6,0x8675DC4F,0x2826B928,
+0x8738545E,0x2A61B101,0x88054677,0x2C98FBBA,0x88DCA0D3,0x2ECC681E,0x89BE50C3,
+0x30FBC54D,0x8AAA42B4,0x3326E2C3,0x8BA0622F,0x354D9057,0x8CA099DA,0x376F9E46,
+0x8DAAD37B,0x398CDD32,0x8EBEF7FB,0x3BA51E29,0x8FDCEF66,0x3DB832A6,0x9104A0EE,
+0x3FC5EC98,0x9235F2EC,0x41CE1E65,0x9370CAE4,0x43D09AED,0x94B50D87,0x45CD358F,
+0x96029EB6,0x47C3C22F,0x9759617F,0x49B41533,0x98B93828,0x4B9E0390,0x9A22042D,
+0x4D8162C4,0x9B93A641,0x4F5E08E3,0x9D0DFE54,0x5133CC94,0x9E90EB94,0x53028518,
+0xA01C4C73,0x54CA0A4B,0xA1AFFEA3,0x568A34A9,0xA34BDF20,0x5842DD54,0xA4EFCA31,
+0x59F3DE12,0xA69B9B68,0x5B9D1154,0xA84F2DAA,0x5D3E5237,0xAA0A5B2E,0x5ED77C8A,
+0xABCCFD83,0x60686CCF,0xAD96ED92,0x61F1003F,0xAF6803A2,0x637114CC,0xB140175B,
+0x64E88926,0xB31EFFCC,0x66573CBB,0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320,
+0xB8E31319,0x6A6D98A4,0xBADBA943,0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765,
+0x6E30E34A,0xC0E8B648,0x6F5F02B2,0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2,
+0xC727016D,0x72AF05A7,0xC945DFEC,0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39,
+0x75A585CF,0xCFBE389F,0x768E0EA6,0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329,
+0xD65C3B7B,0x7909A92D,0xD898620C,0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51,
+0x7B26CB4F,0xDF608FE4,0x7BC5E290,0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2,
+0xE642340D,0x7D628AC6,0xE8922622,0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91,
+0x7E9D55FC,0xEF8D5FB8,0x7EF05860,0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80,
+0xF6956FB7,0x7FA736B4,0xF8EF5CBB,0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929,
+0x7FFA72D1,0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,
+0x7CE3CEB2,0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,
+0xC945DFEC,0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,
+0x5ED77C8A,0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,
+0x9759617F,0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,
+0x2826B928,0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,
+0x809DC971,0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,
+0xE70747C4,0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,
+0x8AFB2CBB,0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,
+0xAC64D510,0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,
+0xB3C0200C,0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,
+0x877B7BEC,0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,
+0xF054D8D5,0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,
+0x81E26C16,0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,
+0x30FBC54D,0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,
+0x9D0DFE54,0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,
+0x64E88926,0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,
+0xD1EEF59E,0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,
+0x7E9D55FC,0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,
+0x6A6D98A4,0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,
+0x809DC971,0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,
+0x8F1D343A,0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,
+0x30FBC54D,0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,
+0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,
+0x30FBC54D,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]={
+0,2048,2560,2688,2720,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]={
+0,2048,2560,2688,2720,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]={
+0,2048,2560,2688,2720,0,};
+
+q31_t rearranged_twiddle_stride1_4096_q31[2728]={
+0x7FFFFFFF,0x00000000,0x7FFFF621,0xFFCDBC0B,0x7FFFD886,0xFF9B781D,0x7FFFA72C,
+0xFF69343F,0x7FFF6216,0xFF36F078,0x7FFF0943,0xFF04ACD0,0x7FFE9CB2,0xFED2694F,
+0x7FFE1C65,0xFEA025FD,0x7FFD885A,0xFE6DE2E0,0x7FFCE093,0xFE3BA002,0x7FFC250F,
+0xFE095D69,0x7FFB55CE,0xFDD71B1E,0x7FFA72D1,0xFDA4D929,0x7FF97C18,0xFD729790,
+0x7FF871A2,0xFD40565C,0x7FF75370,0xFD0E1594,0x7FF62182,0xFCDBD541,0x7FF4DBD9,
+0xFCA9956A,0x7FF38274,0xFC775616,0x7FF21553,0xFC45174E,0x7FF09478,0xFC12D91A,
+0x7FEEFFE1,0xFBE09B80,0x7FED5791,0xFBAE5E89,0x7FEB9B85,0xFB7C223D,0x7FE9CBC0,
+0xFB49E6A3,0x7FE7E841,0xFB17ABC2,0x7FE5F108,0xFAE571A4,0x7FE3E616,0xFAB3384F,
+0x7FE1C76B,0xFA80FFCB,0x7FDF9508,0xFA4EC821,0x7FDD4EEC,0xFA1C9157,0x7FDAF519,
+0xF9EA5B75,0x7FD8878E,0xF9B82684,0x7FD6064C,0xF985F28A,0x7FD37153,0xF953BF91,
+0x7FD0C8A3,0xF9218D9E,0x7FCE0C3E,0xF8EF5CBB,0x7FCB3C23,0xF8BD2CEF,0x7FC85854,
+0xF88AFE42,0x7FC560CF,0xF858D0BB,0x7FC25596,0xF826A462,0x7FBF36AA,0xF7F4793E,
+0x7FBC040A,0xF7C24F59,0x7FB8BDB8,0xF79026B9,0x7FB563B3,0xF75DFF66,0x7FB1F5FC,
+0xF72BD967,0x7FAE7495,0xF6F9B4C6,0x7FAADF7C,0xF6C79188,0x7FA736B4,0xF6956FB7,
+0x7FA37A3C,0xF6634F59,0x7F9FAA15,0xF6313077,0x7F9BC640,0xF5FF1318,0x7F97CEBD,
+0xF5CCF743,0x7F93C38C,0xF59ADD02,0x7F8FA4B0,0xF568C45B,0x7F8B7227,0xF536AD56,
+0x7F872BF3,0xF50497FB,0x7F82D214,0xF4D28451,0x7F7E648C,0xF4A07261,0x7F79E35A,
+0xF46E6231,0x7F754E80,0xF43C53CB,0x7F70A5FE,0xF40A4735,0x7F6BE9D4,0xF3D83C77,
+0x7F671A05,0xF3A63398,0x7F62368F,0xF3742CA2,0x7F5D3F75,0xF342279B,0x7F5834B7,
+0xF310248A,0x7F531655,0xF2DE2379,0x7F4DE451,0xF2AC246E,0x7F489EAA,0xF27A2771,
+0x7F434563,0xF2482C8A,0x7F3DD87C,0xF21633C0,0x7F3857F6,0xF1E43D1C,0x7F32C3D1,
+0xF1B248A5,0x7F2D1C0E,0xF1805662,0x7F2760AF,0xF14E665C,0x7F2191B4,0xF11C789A,
+0x7F1BAF1E,0xF0EA8D24,0x7F15B8EE,0xF0B8A401,0x7F0FAF25,0xF086BD39,0x7F0991C4,
+0xF054D8D5,0x7F0360CB,0xF022F6DA,0x7EFD1C3C,0xEFF11753,0x7EF6C418,0xEFBF3A45,
+0x7EF05860,0xEF8D5FB8,0x7EE9D914,0xEF5B87B5,0x7EE34636,0xEF29B243,0x7EDC9FC6,
+0xEEF7DF6A,0x7ED5E5C6,0xEEC60F31,0x7ECF1837,0xEE9441A0,0x7EC8371A,0xEE6276BF,
+0x7EC14270,0xEE30AE96,0x7EBA3A39,0xEDFEE92B,0x7EB31E78,0xEDCD2687,0x7EABEF2C,
+0xED9B66B2,0x7EA4AC58,0xED69A9B3,0x7E9D55FC,0xED37EF91,0x7E95EC1A,0xED063856,
+0x7E8E6EB2,0xECD48407,0x7E86DDC6,0xECA2D2AD,0x7E7F3957,0xEC71244F,0x7E778166,
+0xEC3F78F6,0x7E6FB5F4,0xEC0DD0A8,0x7E67D703,0xEBDC2B6E,0x7E5FE493,0xEBAA894F,
+0x7E57DEA7,0xEB78EA52,0x7E4FC53E,0xEB474E81,0x7E47985B,0xEB15B5E1,0x7E3F57FF,
+0xEAE4207A,0x7E37042A,0xEAB28E56,0x7E2E9CDF,0xEA80FF7A,0x7E26221F,0xEA4F73EE,
+0x7E1D93EA,0xEA1DEBBB,0x7E14F242,0xE9EC66E8,0x7E0C3D29,0xE9BAE57D,0x7E0374A0,
+0xE9896781,0x7DFA98A8,0xE957ECFB,0x7DF1A942,0xE92675F4,0x7DE8A670,0xE8F50273,
+0x7DDF9034,0xE8C39280,0x7DD6668F,0xE8922622,0x7DCD2981,0xE860BD61,0x7DC3D90D,
+0xE82F5844,0x7DBA7534,0xE7FDF6D4,0x7DB0FDF8,0xE7CC9917,0x7DA77359,0xE79B3F16,
+0x7D9DD55A,0xE769E8D8,0x7D9423FC,0xE7389665,0x7D8A5F40,0xE70747C4,0x7D808728,
+0xE6D5FCFC,0x7D769BB5,0xE6A4B616,0x7D6C9CE9,0xE6737319,0x7D628AC6,0xE642340D,
+0x7D58654D,0xE610F8F9,0x7D4E2C7F,0xE5DFC1E5,0x7D43E05E,0xE5AE8ED8,0x7D3980EC,
+0xE57D5FDA,0x7D2F0E2B,0xE54C34F3,0x7D24881B,0xE51B0E2A,0x7D19EEBF,0xE4E9EB87,
+0x7D0F4218,0xE4B8CD11,0x7D048228,0xE487B2D0,0x7CF9AEF0,0xE4569CCB,0x7CEEC873,
+0xE4258B0A,0x7CE3CEB2,0xE3F47D96,0x7CD8C1AE,0xE3C37474,0x7CCDA169,0xE3926FAD,
+0x7CC26DE5,0xE3616F48,0x7CB72724,0xE330734D,0x7CABCD28,0xE2FF7BC3,0x7CA05FF1,
+0xE2CE88B3,0x7C94DF83,0xE29D9A23,0x7C894BDE,0xE26CB01B,0x7C7DA505,0xE23BCAA2,
+0x7C71EAF9,0xE20AE9C1,0x7C661DBC,0xE1DA0D7E,0x7C5A3D50,0xE1A935E2,0x7C4E49B7,
+0xE17862F3,0x7C4242F2,0xE14794BA,0x7C362904,0xE116CB3D,0x7C29FBEE,0xE0E60685,
+0x7C1DBBB3,0xE0B54698,0x7C116853,0xE0848B7F,0x7C0501D2,0xE053D541,0x7BF88830,
+0xE02323E5,0x7BEBFB70,0xDFF27773,0x7BDF5B94,0xDFC1CFF3,0x7BD2A89E,0xDF912D6B,
+0x7BC5E290,0xDF608FE4,0x7BB9096B,0xDF2FF764,0x7BAC1D31,0xDEFF63F4,0x7B9F1DE6,
+0xDECED59B,0x7B920B89,0xDE9E4C60,0x7B84E61F,0xDE6DC84B,0x7B77ADA8,0xDE3D4964,
+0x7B6A6227,0xDE0CCFB1,0x7B5D039E,0xDDDC5B3B,0x7B4F920E,0xDDABEC08,0x7B420D7A,
+0xDD7B8220,0x7B3475E5,0xDD4B1D8C,0x7B26CB4F,0xDD1ABE51,0x7B190DBC,0xDCEA6478,
+0x7B0B3D2C,0xDCBA1008,0x7AFD59A4,0xDC89C109,0x7AEF6323,0xDC597781,0x7AE159AE,
+0xDC293379,0x7AD33D45,0xDBF8F4F8,0x7AC50DEC,0xDBC8BC06,0x7AB6CBA4,0xDB9888A8,
+0x7AA8766F,0xDB685AE9,0x7A9A0E50,0xDB3832CD,0x7A8B9348,0xDB08105E,0x7A7D055B,
+0xDAD7F3A2,0x7A6E648A,0xDAA7DCA1,0x7A5FB0D8,0xDA77CB63,0x7A50EA47,0xDA47BFEE,
+0x7A4210D8,0xDA17BA4A,0x7A332490,0xD9E7BA7F,0x7A24256F,0xD9B7C094,0x7A151378,
+0xD987CC90,0x7A05EEAD,0xD957DE7A,0x79F6B711,0xD927F65B,0x79E76CA7,0xD8F81439,
+0x79D80F6F,0xD8C8381D,0x79C89F6E,0xD898620C,0x79B91CA4,0xD868920F,0x79A98715,
+0xD838C82D,0x7999DEC4,0xD809046E,0x798A23B1,0xD7D946D8,0x797A55E0,0xD7A98F73,
+0x796A7554,0xD779DE47,0x795A820E,0xD74A335B,0x794A7C12,0xD71A8EB5,0x793A6361,
+0xD6EAF05F,0x792A37FE,0xD6BB585E,0x7919F9EC,0xD68BC6BA,0x7909A92D,0xD65C3B7B,
+0x78F945C3,0xD62CB6A8,0x78E8CFB2,0xD5FD3848,0x78D846FB,0xD5CDC062,0x78C7ABA2,
+0xD59E4EFF,0x78B6FDA8,0xD56EE424,0x78A63D11,0xD53F7FDA,0x789569DF,0xD5102228,
+0x78848414,0xD4E0CB15,0x78738BB3,0xD4B17AA8,0x786280BF,0xD48230E9,0x7851633B,
+0xD452EDDF,0x78403329,0xD423B191,0x782EF08B,0xD3F47C06,0x781D9B65,0xD3C54D47,
+0x780C33B8,0xD396255A,0x77FAB989,0xD3670446,0x77E92CD9,0xD337EA12,0x77D78DAA,
+0xD308D6C7,0x77C5DC01,0xD2D9CA6A,0x77B417DF,0xD2AAC504,0x77A24148,0xD27BC69C,
+0x7790583E,0xD24CCF39,0x777E5CC3,0xD21DDEE2,0x776C4EDB,0xD1EEF59E,0x775A2E89,
+0xD1C01375,0x7747FBCE,0xD191386E,0x7735B6AF,0xD1626490,0x77235F2D,0xD13397E2,
+0x7710F54C,0xD104D26B,0x76FE790E,0xD0D61434,0x76EBEA77,0xD0A75D42,0x76D94989,
+0xD078AD9E,0x76C69647,0xD04A054E,0x76B3D0B4,0xD01B6459,0x76A0F8D2,0xCFECCAC7,
+0x768E0EA6,0xCFBE389F,0x767B1231,0xCF8FADE9,0x76680376,0xCF612AAA,0x7654E279,
+0xCF32AEEB,0x7641AF3D,0xCF043AB3,0x762E69C4,0xCED5CE08,0x761B1211,0xCEA768F2,
+0x7607A828,0xCE790B79,0x75F42C0B,0xCE4AB5A2,0x75E09DBD,0xCE1C6777,0x75CCFD42,
+0xCDEE20FC,0x75B94A9C,0xCDBFE23A,0x75A585CF,0xCD91AB39,0x7591AEDD,0xCD637BFE,
+0x757DC5CA,0xCD355491,0x7569CA99,0xCD0734F9,0x7555BD4C,0xCCD91D3D,0x75419DE7,
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+0x84D934B1,0x2223A4C5,0x84A2FC62,0x2161B3A0,0x846DF477,0x209F701C,0x843A1D70,
+0x1FDCDC1B,0x840777D0,0x1F19F97B,0x83D60412,0x1E56CA1E,0x83A5C2B0,0x1D934FE5,
+0x8376B422,0x1CCF8CB3,0x8348D8DC,0x1C0B826A,0x831C314E,0x1B4732EF,0x82F0BDE8,
+0x1A82A026,0x82C67F14,0x19BDCBF3,0x829D753A,0x18F8B83C,0x8275A0C0,0x183366E9,
+0x824F0208,0x176DD9DE,0x82299971,0x16A81305,0x82056758,0x15E21445,0x81E26C16,
+0x151BDF86,0x81C0A801,0x145576B1,0x81A01B6D,0x138EDBB1,0x8180C6A9,0x12C8106F,
+0x8162AA04,0x120116D5,0x8145C5C7,0x1139F0CF,0x812A1A3A,0x1072A048,0x810FA7A0,
+0x0FAB272B,0x80F66E3C,0x0EE38766,0x80DE6E4C,0x0E1BC2E4,0x80C7A80A,0x0D53DB92,
+0x80B21BAF,0x0C8BD35E,0x809DC971,0x0BC3AC35,0x808AB180,0x0AFB6805,0x8078D40D,
+0x0A3308BD,0x80683143,0x096A9049,0x8058C94C,0x08A2009A,0x804A9C4D,0x07D95B9E,
+0x803DAA6A,0x0710A345,0x8031F3C2,0x0647D97C,0x80277872,0x057F0035,0x801E3895,
+0x04B6195D,0x80163440,0x03ED26E6,0x800F6B88,0x03242ABF,0x8009DE7E,0x025B26D7,
+0x80058D2F,0x01921D20,0x800277A6,0x00C90F88,0x80009DEA,0x7FFFFFFF,0x00000000,
+0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,0x7FA736B4,0xF6956FB7,0x7F62368F,
+0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,0xED37EF91,0x7E1D93EA,0xEA1DEBBB,
+0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE,0xE0E60685,0x7B5D039E,
+0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8,0x78848414,0xD4E0CB15,
+0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345,0xCC210D79,0x73B5EBD1,
+0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590,0x6F5F02B2,0xC0E8B648,
+0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4,0xB8E31319,0x68A69E81,
+0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B,0x62F201AC,0xAECC336C,
+0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0,0xA7BD22AC,0x5A82799A,
+0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376,0x539B2AF0,0x9F13C7D0,
+0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4,0x99307EE0,0x49B41533,
+0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0,0x41CE1E65,0x9235F2EC,
+0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32,0x8DAAD37B,0x36BA2014,
+0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3,0x2E110A62,0x8893B125,
+0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E,0x8582FAA5,0x2223A4C5,
+0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E,0x18F8B83C,0x8275A0C0,
+0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B,0x80F66E3C,0x0C8BD35E,
+0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872,0x03242ABF,0x8009DE7E,
+0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B,
+0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319,
+0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7,
+0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5,
+0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D,
+0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,};
+
+q31_t rearranged_twiddle_stride2_4096_q31[2728]={
+0x7FFFFFFF,0x00000000,0x7FFFD886,0xFF9B781D,0x7FFF6216,0xFF36F078,0x7FFE9CB2,
+0xFED2694F,0x7FFD885A,0xFE6DE2E0,0x7FFC250F,0xFE095D69,0x7FFA72D1,0xFDA4D929,
+0x7FF871A2,0xFD40565C,0x7FF62182,0xFCDBD541,0x7FF38274,0xFC775616,0x7FF09478,
+0xFC12D91A,0x7FED5791,0xFBAE5E89,0x7FE9CBC0,0xFB49E6A3,0x7FE5F108,0xFAE571A4,
+0x7FE1C76B,0xFA80FFCB,0x7FDD4EEC,0xFA1C9157,0x7FD8878E,0xF9B82684,0x7FD37153,
+0xF953BF91,0x7FCE0C3E,0xF8EF5CBB,0x7FC85854,0xF88AFE42,0x7FC25596,0xF826A462,
+0x7FBC040A,0xF7C24F59,0x7FB563B3,0xF75DFF66,0x7FAE7495,0xF6F9B4C6,0x7FA736B4,
+0xF6956FB7,0x7F9FAA15,0xF6313077,0x7F97CEBD,0xF5CCF743,0x7F8FA4B0,0xF568C45B,
+0x7F872BF3,0xF50497FB,0x7F7E648C,0xF4A07261,0x7F754E80,0xF43C53CB,0x7F6BE9D4,
+0xF3D83C77,0x7F62368F,0xF3742CA2,0x7F5834B7,0xF310248A,0x7F4DE451,0xF2AC246E,
+0x7F434563,0xF2482C8A,0x7F3857F6,0xF1E43D1C,0x7F2D1C0E,0xF1805662,0x7F2191B4,
+0xF11C789A,0x7F15B8EE,0xF0B8A401,0x7F0991C4,0xF054D8D5,0x7EFD1C3C,0xEFF11753,
+0x7EF05860,0xEF8D5FB8,0x7EE34636,0xEF29B243,0x7ED5E5C6,0xEEC60F31,0x7EC8371A,
+0xEE6276BF,0x7EBA3A39,0xEDFEE92B,0x7EABEF2C,0xED9B66B2,0x7E9D55FC,0xED37EF91,
+0x7E8E6EB2,0xECD48407,0x7E7F3957,0xEC71244F,0x7E6FB5F4,0xEC0DD0A8,0x7E5FE493,
+0xEBAA894F,0x7E4FC53E,0xEB474E81,0x7E3F57FF,0xEAE4207A,0x7E2E9CDF,0xEA80FF7A,
+0x7E1D93EA,0xEA1DEBBB,0x7E0C3D29,0xE9BAE57D,0x7DFA98A8,0xE957ECFB,0x7DE8A670,
+0xE8F50273,0x7DD6668F,0xE8922622,0x7DC3D90D,0xE82F5844,0x7DB0FDF8,0xE7CC9917,
+0x7D9DD55A,0xE769E8D8,0x7D8A5F40,0xE70747C4,0x7D769BB5,0xE6A4B616,0x7D628AC6,
+0xE642340D,0x7D4E2C7F,0xE5DFC1E5,0x7D3980EC,0xE57D5FDA,0x7D24881B,0xE51B0E2A,
+0x7D0F4218,0xE4B8CD11,0x7CF9AEF0,0xE4569CCB,0x7CE3CEB2,0xE3F47D96,0x7CCDA169,
+0xE3926FAD,0x7CB72724,0xE330734D,0x7CA05FF1,0xE2CE88B3,0x7C894BDE,0xE26CB01B,
+0x7C71EAF9,0xE20AE9C1,0x7C5A3D50,0xE1A935E2,0x7C4242F2,0xE14794BA,0x7C29FBEE,
+0xE0E60685,0x7C116853,0xE0848B7F,0x7BF88830,0xE02323E5,0x7BDF5B94,0xDFC1CFF3,
+0x7BC5E290,0xDF608FE4,0x7BAC1D31,0xDEFF63F4,0x7B920B89,0xDE9E4C60,0x7B77ADA8,
+0xDE3D4964,0x7B5D039E,0xDDDC5B3B,0x7B420D7A,0xDD7B8220,0x7B26CB4F,0xDD1ABE51,
+0x7B0B3D2C,0xDCBA1008,0x7AEF6323,0xDC597781,0x7AD33D45,0xDBF8F4F8,0x7AB6CBA4,
+0xDB9888A8,0x7A9A0E50,0xDB3832CD,0x7A7D055B,0xDAD7F3A2,0x7A5FB0D8,0xDA77CB63,
+0x7A4210D8,0xDA17BA4A,0x7A24256F,0xD9B7C094,0x7A05EEAD,0xD957DE7A,0x79E76CA7,
+0xD8F81439,0x79C89F6E,0xD898620C,0x79A98715,0xD838C82D,0x798A23B1,0xD7D946D8,
+0x796A7554,0xD779DE47,0x794A7C12,0xD71A8EB5,0x792A37FE,0xD6BB585E,0x7909A92D,
+0xD65C3B7B,0x78E8CFB2,0xD5FD3848,0x78C7ABA2,0xD59E4EFF,0x78A63D11,0xD53F7FDA,
+0x78848414,0xD4E0CB15,0x786280BF,0xD48230E9,0x78403329,0xD423B191,0x781D9B65,
+0xD3C54D47,0x77FAB989,0xD3670446,0x77D78DAA,0xD308D6C7,0x77B417DF,0xD2AAC504,
+0x7790583E,0xD24CCF39,0x776C4EDB,0xD1EEF59E,0x7747FBCE,0xD191386E,0x77235F2D,
+0xD13397E2,0x76FE790E,0xD0D61434,0x76D94989,0xD078AD9E,0x76B3D0B4,0xD01B6459,
+0x768E0EA6,0xCFBE389F,0x76680376,0xCF612AAA,0x7641AF3D,0xCF043AB3,0x761B1211,
+0xCEA768F2,0x75F42C0B,0xCE4AB5A2,0x75CCFD42,0xCDEE20FC,0x75A585CF,0xCD91AB39,
+0x757DC5CA,0xCD355491,0x7555BD4C,0xCCD91D3D,0x752D6C6C,0xCC7D0578,0x7504D345,
+0xCC210D79,0x74DBF1EF,0xCBC53579,0x74B2C884,0xCB697DB0,0x7489571C,0xCB0DE658,
+0x745F9DD1,0xCAB26FA9,0x74359CBD,0xCA5719DB,0x740B53FB,0xC9FBE527,0x73E0C3A3,
+0xC9A0D1C5,0x73B5EBD1,0xC945DFEC,0x738ACC9E,0xC8EB0FD6,0x735F6626,0xC89061BA,
+0x7333B883,0xC835D5D0,0x7307C3D0,0xC7DB6C50,0x72DB8828,0xC7812572,0x72AF05A7,
+0xC727016D,0x72823C67,0xC6CD0079,0x72552C85,0xC67322CE,0x7227D61C,0xC61968A2,
+0x71FA3949,0xC5BFD22E,0x71CC5626,0xC5665FA9,0x719E2CD2,0xC50D1149,0x716FBD68,
+0xC4B3E746,0x71410805,0xC45AE1D7,0x71120CC5,0xC4020133,0x70E2CBC6,0xC3A94590,
+0x70B34525,0xC350AF26,0x708378FF,0xC2F83E2A,0x70536771,0xC29FF2D4,0x7023109A,
+0xC247CD5A,0x6FF27497,0xC1EFCDF3,0x6FC19385,0xC197F4D4,0x6F906D84,0xC1404233,
+0x6F5F02B2,0xC0E8B648,0x6F2D532C,0xC0915148,0x6EFB5F12,0xC03A1368,0x6EC92683,
+0xBFE2FCDF,0x6E96A99D,0xBF8C0DE3,0x6E63E87F,0xBF3546A8,0x6E30E34A,0xBEDEA765,
+0x6DFD9A1C,0xBE88304F,0x6DCA0D14,0xBE31E19B,0x6D963C54,0xBDDBBB7F,0x6D6227FA,
+0xBD85BE30,0x6D2DD027,0xBD2FE9E2,0x6CF934FC,0xBCDA3ECB,0x6CC45698,0xBC84BD1F,
+0x6C8F351C,0xBC2F6513,0x6C59D0A9,0xBBDA36DD,0x6C242960,0xBB8532B0,0x6BEE3F62,
+0xBB3058C0,0x6BB812D1,0xBADBA943,0x6B81A3CD,0xBA87246D,0x6B4AF279,0xBA32CA71,
+0x6B13FEF5,0xB9DE9B83,0x6ADCC964,0xB98A97D8,0x6AA551E9,0xB936BFA4,0x6A6D98A4,
+0xB8E31319,0x6A359DB9,0xB88F926D,0x69FD614A,0xB83C3DD1,0x69C4E37A,0xB7E9157A,
+0x698C246C,0xB796199B,0x69532442,0xB7434A67,0x6919E320,0xB6F0A812,0x68E06129,
+0xB69E32CD,0x68A69E81,0xB64BEACD,0x686C9B4B,0xB5F9D043,0x683257AB,0xB5A7E362,
+0x67F7D3C5,0xB556245E,0x67BD0FBD,0xB5049368,0x67820BB7,0xB4B330B3,0x6746C7D8,
+0xB461FC70,0x670B4444,0xB410F6D3,0x66CF8120,0xB3C0200C,0x66937E91,0xB36F784F,
+0x66573CBB,0xB31EFFCC,0x661ABBC5,0xB2CEB6B5,0x65DDFBD3,0xB27E9D3C,0x65A0FD0B,
+0xB22EB392,0x6563BF92,0xB1DEF9E9,0x6526438F,0xB18F7071,0x64E88926,0xB140175B,
+0x64AA907F,0xB0F0EEDA,0x646C59BF,0xB0A1F71D,0x642DE50D,0xB0533055,0x63EF3290,
+0xB0049AB3,0x63B0426D,0xAFB63667,0x637114CC,0xAF6803A2,0x6331A9D4,0xAF1A0293,
+0x62F201AC,0xAECC336C,0x62B21C7B,0xAE7E965B,0x6271FA69,0xAE312B92,0x62319B9D,
+0xADE3F33E,0x61F1003F,0xAD96ED92,0x61B02876,0xAD4A1ABA,0x616F146C,0xACFD7AE8,
+0x612DC447,0xACB10E4B,0x60EC3830,0xAC64D510,0x60AA7050,0xAC18CF69,0x60686CCF,
+0xABCCFD83,0x60262DD6,0xAB815F8D,0x5FE3B38D,0xAB35F5B5,0x5FA0FE1F,0xAAEAC02C,
+0x5F5E0DB3,0xAA9FBF1E,0x5F1AE274,0xAA54F2BA,0x5ED77C8A,0xAA0A5B2E,0x5E93DC1F,
+0xA9BFF8A8,0x5E50015D,0xA975CB57,0x5E0BEC6E,0xA92BD367,0x5DC79D7C,0xA8E21106,
+0x5D8314B1,0xA8988463,0x5D3E5237,0xA84F2DAA,0x5CF95638,0xA8060D08,0x5CB420E0,
+0xA7BD22AC,0x5C6EB258,0xA7746EC0,0x5C290ACC,0xA72BF174,0x5BE32A67,0xA6E3AAF2,
+0x5B9D1154,0xA69B9B68,0x5B56BFBD,0xA653C303,0x5B1035CF,0xA60C21EE,0x5AC973B5,
+0xA5C4B855,0x5A82799A,0xA57D8666,0x5A3B47AB,0xA5368C4B,0x59F3DE12,0xA4EFCA31,
+0x59AC3CFD,0xA4A94043,0x59646498,0xA462EEAC,0x591C550E,0xA41CD599,0x58D40E8C,
+0xA3D6F534,0x588B9140,0xA3914DA8,0x5842DD54,0xA34BDF20,0x57F9F2F8,0xA306A9C8,
+0x57B0D256,0xA2C1ADC9,0x57677B9D,0xA27CEB4F,0x571DEEFA,0xA2386284,0x56D42C99,
+0xA1F41392,0x568A34A9,0xA1AFFEA3,0x56400758,0xA16C23E1,0x55F5A4D2,0xA1288376,
+0x55AB0D46,0xA0E51D8C,0x556040E2,0xA0A1F24D,0x55153FD4,0xA05F01E1,0x54CA0A4B,
+0xA01C4C73,0x547EA073,0x9FD9D22A,0x5433027D,0x9F979331,0x53E73097,0x9F558FB0,
+0x539B2AF0,0x9F13C7D0,0x534EF1B5,0x9ED23BB9,0x53028518,0x9E90EB94,0x52B5E546,
+0x9E4FD78A,0x5269126E,0x9E0EFFC1,0x521C0CC2,0x9DCE6463,0x51CED46E,0x9D8E0597,
+0x518169A5,0x9D4DE385,0x5133CC94,0x9D0DFE54,0x50E5FD6D,0x9CCE562C,0x5097FC5E,
+0x9C8EEB34,0x5049C999,0x9C4FBD93,0x4FFB654D,0x9C10CD70,0x4FACCFAB,0x9BD21AF3,
+0x4F5E08E3,0x9B93A641,0x4F0F1126,0x9B556F81,0x4EBFE8A5,0x9B1776DA,0x4E708F8F,
+0x9AD9BC71,0x4E210617,0x9A9C406E,0x4DD14C6E,0x9A5F02F5,0x4D8162C4,0x9A22042D,
+0x4D31494B,0x99E5443B,0x4CE10034,0x99A8C345,0x4C9087B1,0x996C816F,0x4C3FDFF4,
+0x99307EE0,0x4BEF092D,0x98F4BBBC,0x4B9E0390,0x98B93828,0x4B4CCF4D,0x987DF449,
+0x4AFB6C98,0x9842F043,0x4AA9DBA2,0x98082C3B,0x4A581C9E,0x97CDA855,0x4A062FBD,
+0x979364B5,0x49B41533,0x9759617F,0x4961CD33,0x971F9ED7,0x490F57EE,0x96E61CE0,
+0x48BCB599,0x96ACDBBE,0x4869E665,0x9673DB94,0x4816EA86,0x963B1C86,0x47C3C22F,
+0x96029EB6,0x47706D93,0x95CA6247,0x471CECE7,0x9592675C,0x46C9405C,0x955AAE17,
+0x46756828,0x9523369C,0x4621647D,0x94EC010B,0x45CD358F,0x94B50D87,0x4578DB93,
+0x947E5C33,0x452456BD,0x9447ED2F,0x44CFA740,0x9411C09E,0x447ACD50,0x93DBD6A0,
+0x4425C923,0x93A62F57,0x43D09AED,0x9370CAE4,0x437B42E1,0x933BA968,0x4325C135,
+0x9306CB04,0x42D0161E,0x92D22FD9,0x427A41D0,0x929DD806,0x42244481,0x9269C3AC,
+0x41CE1E65,0x9235F2EC,0x4177CFB1,0x920265E4,0x4121589B,0x91CF1CB6,0x40CAB958,
+0x919C1781,0x4073F21D,0x91695663,0x401D0321,0x9136D97D,0x3FC5EC98,0x9104A0EE,
+0x3F6EAEB8,0x90D2ACD4,0x3F1749B8,0x90A0FD4E,0x3EBFBDCD,0x906F927C,0x3E680B2C,
+0x903E6C7B,0x3E10320D,0x900D8B69,0x3DB832A6,0x8FDCEF66,0x3D600D2C,0x8FAC988F,
+0x3D07C1D6,0x8F7C8701,0x3CAF50DA,0x8F4CBADB,0x3C56BA70,0x8F1D343A,0x3BFDFECD,
+0x8EEDF33B,0x3BA51E29,0x8EBEF7FB,0x3B4C18BA,0x8E904298,0x3AF2EEB7,0x8E61D32E,
+0x3A99A057,0x8E33A9DA,0x3A402DD2,0x8E05C6B7,0x39E6975E,0x8DD829E4,0x398CDD32,
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+0x823C26F3,0x176DD9DE,0x82299971,0x170AFD8D,0x82175990,0x16A81305,0x82056758,
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+0x0E1BC2E4,0x80C7A80A,0x0DB7D376,0x80BCBA9D,0x0D53DB92,0x80B21BAF,0x0CEFDB76,
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+0xD53F7FDA,0x8759C2EF,0xD4E0CB15,0x877B7BEC,0xD48230E9,0x879D7F41,0xD423B191,
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+0x88B80432,0xD13397E2,0x88DCA0D3,0xD0D61434,0x890186F2,0xD078AD9E,0x8926B677,
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+0xCD91AB39,0x8A5A7A31,0xCD355491,0x8A823A36,0xCCD91D3D,0x8AAA42B4,0xCC7D0578,
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+0x8E61D32E,0xC4B3E746,0x8E904298,0xC45AE1D7,0x8EBEF7FB,0xC4020133,0x8EEDF33B,
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+0x8FAC988F,0xC247CD5A,0x8FDCEF66,0xC1EFCDF3,0x900D8B69,0xC197F4D4,0x903E6C7B,
+0xC1404233,0x906F927C,0xC0E8B648,0x90A0FD4E,0xC0915148,0x90D2ACD4,0xC03A1368,
+0x9104A0EE,0xBFE2FCDF,0x9136D97D,0xBF8C0DE3,0x91695663,0xBF3546A8,0x919C1781,
+0xBEDEA765,0x91CF1CB6,0xBE88304F,0x920265E4,0xBE31E19B,0x9235F2EC,0xBDDBBB7F,
+0x9269C3AC,0xBD85BE30,0x929DD806,0xBD2FE9E2,0x92D22FD9,0xBCDA3ECB,0x9306CB04,
+0xBC84BD1F,0x933BA968,0xBC2F6513,0x9370CAE4,0xBBDA36DD,0x93A62F57,0xBB8532B0,
+0x93DBD6A0,0xBB3058C0,0x9411C09E,0xBADBA943,0x9447ED2F,0xBA87246D,0x947E5C33,
+0xBA32CA71,0x94B50D87,0xB9DE9B83,0x94EC010B,0xB98A97D8,0x9523369C,0xB936BFA4,
+0x955AAE17,0xB8E31319,0x9592675C,0xB88F926D,0x95CA6247,0xB83C3DD1,0x96029EB6,
+0xB7E9157A,0x963B1C86,0xB796199B,0x9673DB94,0xB7434A67,0x96ACDBBE,0xB6F0A812,
+0x96E61CE0,0xB69E32CD,0x971F9ED7,0xB64BEACD,0x9759617F,0xB5F9D043,0x979364B5,
+0xB5A7E362,0x97CDA855,0xB556245E,0x98082C3B,0xB5049368,0x9842F043,0xB4B330B3,
+0x987DF449,0xB461FC70,0x98B93828,0xB410F6D3,0x98F4BBBC,0xB3C0200C,0x99307EE0,
+0xB36F784F,0x996C816F,0xB31EFFCC,0x99A8C345,0xB2CEB6B5,0x99E5443B,0xB27E9D3C,
+0x9A22042D,0xB22EB392,0x9A5F02F5,0xB1DEF9E9,0x9A9C406E,0xB18F7071,0x9AD9BC71,
+0xB140175B,0x9B1776DA,0xB0F0EEDA,0x9B556F81,0xB0A1F71D,0x9B93A641,0xB0533055,
+0x9BD21AF3,0xB0049AB3,0x9C10CD70,0xAFB63667,0x9C4FBD93,0xAF6803A2,0x9C8EEB34,
+0xAF1A0293,0x9CCE562C,0xAECC336C,0x9D0DFE54,0xAE7E965B,0x9D4DE385,0xAE312B92,
+0x9D8E0597,0xADE3F33E,0x9DCE6463,0xAD96ED92,0x9E0EFFC1,0xAD4A1ABA,0x9E4FD78A,
+0xACFD7AE8,0x9E90EB94,0xACB10E4B,0x9ED23BB9,0xAC64D510,0x9F13C7D0,0xAC18CF69,
+0x9F558FB0,0xABCCFD83,0x9F979331,0xAB815F8D,0x9FD9D22A,0xAB35F5B5,0xA01C4C73,
+0xAAEAC02C,0xA05F01E1,0xAA9FBF1E,0xA0A1F24D,0xAA54F2BA,0xA0E51D8C,0xAA0A5B2E,
+0xA1288376,0xA9BFF8A8,0xA16C23E1,0xA975CB57,0xA1AFFEA3,0xA92BD367,0xA1F41392,
+0xA8E21106,0xA2386284,0xA8988463,0xA27CEB4F,0xA84F2DAA,0xA2C1ADC9,0xA8060D08,
+0xA306A9C8,0xA7BD22AC,0xA34BDF20,0xA7746EC0,0xA3914DA8,0xA72BF174,0xA3D6F534,
+0xA6E3AAF2,0xA41CD599,0xA69B9B68,0xA462EEAC,0xA653C303,0xA4A94043,0xA60C21EE,
+0xA4EFCA31,0xA5C4B855,0xA5368C4B,0xA57D8666,0xA57D8666,0xA5368C4B,0xA5C4B855,
+0xA4EFCA31,0xA60C21EE,0xA4A94043,0xA653C303,0xA462EEAC,0xA69B9B68,0xA41CD599,
+0xA6E3AAF2,0xA3D6F534,0xA72BF174,0xA3914DA8,0xA7746EC0,0xA34BDF20,0xA7BD22AC,
+0xA306A9C8,0xA8060D08,0xA2C1ADC9,0xA84F2DAA,0xA27CEB4F,0xA8988463,0xA2386284,
+0xA8E21106,0xA1F41392,0xA92BD367,0xA1AFFEA3,0xA975CB57,0xA16C23E1,0xA9BFF8A8,
+0xA1288376,0xAA0A5B2E,0xA0E51D8C,0xAA54F2BA,0xA0A1F24D,0xAA9FBF1E,0xA05F01E1,
+0xAAEAC02C,0xA01C4C73,0xAB35F5B5,0x9FD9D22A,0xAB815F8D,0x9F979331,0xABCCFD83,
+0x9F558FB0,0xAC18CF69,0x9F13C7D0,0xAC64D510,0x9ED23BB9,0xACB10E4B,0x9E90EB94,
+0xACFD7AE8,0x9E4FD78A,0xAD4A1ABA,0x9E0EFFC1,0xAD96ED92,0x9DCE6463,0xADE3F33E,
+0x9D8E0597,0xAE312B92,0x9D4DE385,0xAE7E965B,0x9D0DFE54,0xAECC336C,0x9CCE562C,
+0xAF1A0293,0x9C8EEB34,0xAF6803A2,0x9C4FBD93,0xAFB63667,0x9C10CD70,0xB0049AB3,
+0x9BD21AF3,0xB0533055,0x9B93A641,0xB0A1F71D,0x9B556F81,0xB0F0EEDA,0x9B1776DA,
+0xB140175B,0x9AD9BC71,0xB18F7071,0x9A9C406E,0xB1DEF9E9,0x9A5F02F5,0xB22EB392,
+0x9A22042D,0xB27E9D3C,0x99E5443B,0xB2CEB6B5,0x99A8C345,0xB31EFFCC,0x996C816F,
+0xB36F784F,0x99307EE0,0xB3C0200C,0x98F4BBBC,0xB410F6D3,0x98B93828,0xB461FC70,
+0x987DF449,0xB4B330B3,0x9842F043,0xB5049368,0x98082C3B,0xB556245E,0x97CDA855,
+0xB5A7E362,0x979364B5,0xB5F9D043,0x9759617F,0xB64BEACD,0x971F9ED7,0xB69E32CD,
+0x96E61CE0,0xB6F0A812,0x96ACDBBE,0xB7434A67,0x9673DB94,0xB796199B,0x963B1C86,
+0xB7E9157A,0x96029EB6,0xB83C3DD1,0x95CA6247,0xB88F926D,0x9592675C,0xB8E31319,
+0x955AAE17,0xB936BFA4,0x9523369C,0xB98A97D8,0x94EC010B,0xB9DE9B83,0x94B50D87,
+0xBA32CA71,0x947E5C33,0xBA87246D,0x9447ED2F,0xBADBA943,0x9411C09E,0xBB3058C0,
+0x93DBD6A0,0xBB8532B0,0x93A62F57,0xBBDA36DD,0x9370CAE4,0xBC2F6513,0x933BA968,
+0xBC84BD1F,0x9306CB04,0xBCDA3ECB,0x92D22FD9,0xBD2FE9E2,0x929DD806,0xBD85BE30,
+0x9269C3AC,0xBDDBBB7F,0x9235F2EC,0xBE31E19B,0x920265E4,0xBE88304F,0x91CF1CB6,
+0xBEDEA765,0x919C1781,0xBF3546A8,0x91695663,0xBF8C0DE3,0x9136D97D,0xBFE2FCDF,
+0x9104A0EE,0xC03A1368,0x90D2ACD4,0xC0915148,0x90A0FD4E,0xC0E8B648,0x906F927C,
+0xC1404233,0x903E6C7B,0xC197F4D4,0x900D8B69,0xC1EFCDF3,0x8FDCEF66,0xC247CD5A,
+0x8FAC988F,0xC29FF2D4,0x8F7C8701,0xC2F83E2A,0x8F4CBADB,0xC350AF26,0x8F1D343A,
+0xC3A94590,0x8EEDF33B,0xC4020133,0x8EBEF7FB,0xC45AE1D7,0x8E904298,0xC4B3E746,
+0x8E61D32E,0xC50D1149,0x8E33A9DA,0xC5665FA9,0x8E05C6B7,0xC5BFD22E,0x8DD829E4,
+0xC61968A2,0x8DAAD37B,0xC67322CE,0x8D7DC399,0xC6CD0079,0x8D50FA59,0xC727016D,
+0x8D2477D8,0xC7812572,0x8CF83C30,0xC7DB6C50,0x8CCC477D,0xC835D5D0,0x8CA099DA,
+0xC89061BA,0x8C753362,0xC8EB0FD6,0x8C4A142F,0xC945DFEC,0x8C1F3C5D,0xC9A0D1C5,
+0x8BF4AC05,0xC9FBE527,0x8BCA6343,0xCA5719DB,0x8BA0622F,0xCAB26FA9,0x8B76A8E4,
+0xCB0DE658,0x8B4D377C,0xCB697DB0,0x8B240E11,0xCBC53579,0x8AFB2CBB,0xCC210D79,
+0x8AD29394,0xCC7D0578,0x8AAA42B4,0xCCD91D3D,0x8A823A36,0xCD355491,0x8A5A7A31,
+0xCD91AB39,0x8A3302BE,0xCDEE20FC,0x8A0BD3F5,0xCE4AB5A2,0x89E4EDEF,0xCEA768F2,
+0x89BE50C3,0xCF043AB3,0x8997FC8A,0xCF612AAA,0x8971F15A,0xCFBE389F,0x894C2F4C,
+0xD01B6459,0x8926B677,0xD078AD9E,0x890186F2,0xD0D61434,0x88DCA0D3,0xD13397E2,
+0x88B80432,0xD191386E,0x8893B125,0xD1EEF59E,0x886FA7C2,0xD24CCF39,0x884BE821,
+0xD2AAC504,0x88287256,0xD308D6C7,0x88054677,0xD3670446,0x87E2649B,0xD3C54D47,
+0x87BFCCD7,0xD423B191,0x879D7F41,0xD48230E9,0x877B7BEC,0xD4E0CB15,0x8759C2EF,
+0xD53F7FDA,0x8738545E,0xD59E4EFF,0x8717304E,0xD5FD3848,0x86F656D3,0xD65C3B7B,
+0x86D5C802,0xD6BB585E,0x86B583EE,0xD71A8EB5,0x86958AAC,0xD779DE47,0x8675DC4F,
+0xD7D946D8,0x865678EB,0xD838C82D,0x86376092,0xD898620C,0x86189359,0xD8F81439,
+0x85FA1153,0xD957DE7A,0x85DBDA91,0xD9B7C094,0x85BDEF28,0xDA17BA4A,0x85A04F28,
+0xDA77CB63,0x8582FAA5,0xDAD7F3A2,0x8565F1B0,0xDB3832CD,0x8549345C,0xDB9888A8,
+0x852CC2BB,0xDBF8F4F8,0x85109CDD,0xDC597781,0x84F4C2D4,0xDCBA1008,0x84D934B1,
+0xDD1ABE51,0x84BDF286,0xDD7B8220,0x84A2FC62,0xDDDC5B3B,0x84885258,0xDE3D4964,
+0x846DF477,0xDE9E4C60,0x8453E2CF,0xDEFF63F4,0x843A1D70,0xDF608FE4,0x8420A46C,
+0xDFC1CFF3,0x840777D0,0xE02323E5,0x83EE97AD,0xE0848B7F,0x83D60412,0xE0E60685,
+0x83BDBD0E,0xE14794BA,0x83A5C2B0,0xE1A935E2,0x838E1507,0xE20AE9C1,0x8376B422,
+0xE26CB01B,0x835FA00F,0xE2CE88B3,0x8348D8DC,0xE330734D,0x83325E97,0xE3926FAD,
+0x831C314E,0xE3F47D96,0x83065110,0xE4569CCB,0x82F0BDE8,0xE4B8CD11,0x82DB77E5,
+0xE51B0E2A,0x82C67F14,0xE57D5FDA,0x82B1D381,0xE5DFC1E5,0x829D753A,0xE642340D,
+0x8289644B,0xE6A4B616,0x8275A0C0,0xE70747C4,0x82622AA6,0xE769E8D8,0x824F0208,
+0xE7CC9917,0x823C26F3,0xE82F5844,0x82299971,0xE8922622,0x82175990,0xE8F50273,
+0x82056758,0xE957ECFB,0x81F3C2D7,0xE9BAE57D,0x81E26C16,0xEA1DEBBB,0x81D16321,
+0xEA80FF7A,0x81C0A801,0xEAE4207A,0x81B03AC2,0xEB474E81,0x81A01B6D,0xEBAA894F,
+0x81904A0C,0xEC0DD0A8,0x8180C6A9,0xEC71244F,0x8171914E,0xECD48407,0x8162AA04,
+0xED37EF91,0x815410D4,0xED9B66B2,0x8145C5C7,0xEDFEE92B,0x8137C8E6,0xEE6276BF,
+0x812A1A3A,0xEEC60F31,0x811CB9CA,0xEF29B243,0x810FA7A0,0xEF8D5FB8,0x8102E3C4,
+0xEFF11753,0x80F66E3C,0xF054D8D5,0x80EA4712,0xF0B8A401,0x80DE6E4C,0xF11C789A,
+0x80D2E3F2,0xF1805662,0x80C7A80A,0xF1E43D1C,0x80BCBA9D,0xF2482C8A,0x80B21BAF,
+0xF2AC246E,0x80A7CB49,0xF310248A,0x809DC971,0xF3742CA2,0x8094162C,0xF3D83C77,
+0x808AB180,0xF43C53CB,0x80819B74,0xF4A07261,0x8078D40D,0xF50497FB,0x80705B50,
+0xF568C45B,0x80683143,0xF5CCF743,0x806055EB,0xF6313077,0x8058C94C,0xF6956FB7,
+0x80518B6B,0xF6F9B4C6,0x804A9C4D,0xF75DFF66,0x8043FBF6,0xF7C24F59,0x803DAA6A,
+0xF826A462,0x8037A7AC,0xF88AFE42,0x8031F3C2,0xF8EF5CBB,0x802C8EAD,0xF953BF91,
+0x80277872,0xF9B82684,0x8022B114,0xFA1C9157,0x801E3895,0xFA80FFCB,0x801A0EF8,
+0xFAE571A4,0x80163440,0xFB49E6A3,0x8012A86F,0xFBAE5E89,0x800F6B88,0xFC12D91A,
+0x800C7D8C,0xFC775616,0x8009DE7E,0xFCDBD541,0x80078E5E,0xFD40565C,0x80058D2F,
+0xFDA4D929,0x8003DAF1,0xFE095D69,0x800277A6,0xFE6DE2E0,0x8001634E,0xFED2694F,
+0x80009DEA,0xFF36F078,0x8000277A,0xFF9B781D,0x7FFFFFFF,0x00000000,0x7FFD885A,
+0xFE6DE2E0,0x7FF62182,0xFCDBD541,0x7FE9CBC0,0xFB49E6A3,0x7FD8878E,0xF9B82684,
+0x7FC25596,0xF826A462,0x7FA736B4,0xF6956FB7,0x7F872BF3,0xF50497FB,0x7F62368F,
+0xF3742CA2,0x7F3857F6,0xF1E43D1C,0x7F0991C4,0xF054D8D5,0x7ED5E5C6,0xEEC60F31,
+0x7E9D55FC,0xED37EF91,0x7E5FE493,0xEBAA894F,0x7E1D93EA,0xEA1DEBBB,0x7DD6668F,
+0xE8922622,0x7D8A5F40,0xE70747C4,0x7D3980EC,0xE57D5FDA,0x7CE3CEB2,0xE3F47D96,
+0x7C894BDE,0xE26CB01B,0x7C29FBEE,0xE0E60685,0x7BC5E290,0xDF608FE4,0x7B5D039E,
+0xDDDC5B3B,0x7AEF6323,0xDC597781,0x7A7D055B,0xDAD7F3A2,0x7A05EEAD,0xD957DE7A,
+0x798A23B1,0xD7D946D8,0x7909A92D,0xD65C3B7B,0x78848414,0xD4E0CB15,0x77FAB989,
+0xD3670446,0x776C4EDB,0xD1EEF59E,0x76D94989,0xD078AD9E,0x7641AF3D,0xCF043AB3,
+0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79,0x745F9DD1,0xCAB26FA9,0x73B5EBD1,
+0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85,0xC67322CE,0x719E2CD2,0xC50D1149,
+0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A,0x6F5F02B2,0xC0E8B648,0x6E96A99D,
+0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC,0xBCDA3ECB,0x6C242960,0xBB8532B0,
+0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319,0x698C246C,0xB796199B,0x68A69E81,
+0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120,0xB3C0200C,0x65DDFBD3,0xB27E9D3C,
+0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3,0x62F201AC,0xAECC336C,0x61F1003F,
+0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D,0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E,
+0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC,0x5B9D1154,0xA69B9B68,0x5A82799A,
+0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54,0xA34BDF20,0x571DEEFA,0xA2386284,
+0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73,0x539B2AF0,0x9F13C7D0,0x5269126E,
+0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D,0x9C10CD70,0x4EBFE8A5,0x9B1776DA,
+0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0,0x4AFB6C98,0x9842F043,0x49B41533,
+0x9759617F,0x4869E665,0x9673DB94,0x471CECE7,0x9592675C,0x45CD358F,0x94B50D87,
+0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04,0x41CE1E65,0x9235F2EC,0x4073F21D,
+0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6,0x8FDCEF66,0x3C56BA70,0x8F1D343A,
+0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B,0x382493B0,0x8CF83C30,0x36BA2014,
+0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287,0x8AFB2CBB,0x326E54C7,0x8A5A7A31,
+0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677,0x2E110A62,0x8893B125,0x2C98FBBA,
+0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485,0x86F656D3,0x2826B928,0x8675DC4F,
+0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5,0x23A6887F,0x85109CDD,0x2223A4C5,
+0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B,0x83D60412,0x1D934FE5,0x8376B422,
+0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14,0x18F8B83C,0x8275A0C0,0x176DD9DE,
+0x82299971,0x15E21445,0x81E26C16,0x145576B1,0x81A01B6D,0x12C8106F,0x8162AA04,
+0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C,0x0E1BC2E4,0x80C7A80A,0x0C8BD35E,
+0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049,0x8058C94C,0x07D95B9E,0x803DAA6A,
+0x0647D97C,0x80277872,0x04B6195D,0x80163440,0x03242ABF,0x8009DE7E,0x01921D20,
+0x800277A6,0x00000000,0x80000000,0xFE6DE2E0,0x800277A6,0xFCDBD541,0x8009DE7E,
+0xFB49E6A3,0x80163440,0xF9B82684,0x80277872,0xF826A462,0x803DAA6A,0xF6956FB7,
+0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2,0x809DC971,0xF1E43D1C,0x80C7A80A,
+0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A,0xED37EF91,0x8162AA04,0xEBAA894F,
+0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622,0x82299971,0xE70747C4,0x8275A0C0,
+0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E,0xE26CB01B,0x8376B422,0xE0E60685,
+0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B,0x84A2FC62,0xDC597781,0x85109CDD,
+0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153,0xD7D946D8,0x8675DC4F,0xD65C3B7B,
+0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446,0x88054677,0xD1EEF59E,0x8893B125,
+0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3,0xCD91AB39,0x8A5A7A31,0xCC210D79,
+0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC,0x8C4A142F,0xC7DB6C50,0x8CF83C30,
+0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E,0xC3A94590,0x8F1D343A,0xC247CD5A,
+0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3,0x91695663,0xBE31E19B,0x9235F2EC,
+0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0,0xBA32CA71,0x94B50D87,0xB8E31319,
+0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD,0x9759617F,0xB5049368,0x9842F043,
+0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D,0xB140175B,0x9B1776DA,0xB0049AB3,
+0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92,0x9E0EFFC1,0xAC64D510,0x9F13C7D0,
+0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376,0xA8E21106,0xA2386284,0xA7BD22AC,
+0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666,0xA57D8666,0xA462EEAC,0xA69B9B68,
+0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106,0xA1288376,0xAA0A5B2E,0xA01C4C73,
+0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1,0xAD96ED92,0x9D0DFE54,0xAECC336C,
+0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B,0x9A22042D,0xB27E9D3C,0x99307EE0,
+0xB3C0200C,0x9842F043,0xB5049368,0x9759617F,0xB64BEACD,0x9673DB94,0xB796199B,
+0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71,0x93DBD6A0,0xBB8532B0,0x9306CB04,
+0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663,0xBF8C0DE3,0x90A0FD4E,0xC0E8B648,
+0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590,0x8E61D32E,0xC50D1149,0x8DAAD37B,
+0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F,0xC945DFEC,0x8BA0622F,0xCAB26FA9,
+0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39,0x89BE50C3,0xCF043AB3,0x8926B677,
+0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677,0xD3670446,0x877B7BEC,0xD4E0CB15,
+0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8,0x85FA1153,0xD957DE7A,0x8582FAA5,
+0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62,0xDDDC5B3B,0x843A1D70,0xDF608FE4,
+0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B,0x831C314E,0xE3F47D96,0x82C67F14,
+0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971,0xE8922622,0x81E26C16,0xEA1DEBBB,
+0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91,0x812A1A3A,0xEEC60F31,0x80F66E3C,
+0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971,0xF3742CA2,0x8078D40D,0xF50497FB,
+0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462,0x80277872,0xF9B82684,0x80163440,
+0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6,0xFE6DE2E0,0x7FFFFFFF,0x00000000,
+0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC,0xED37EF91,0x7D8A5F40,
+0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2,0x78848414,0xD4E0CB15,
+0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6,0xC3A94590,0x6DCA0D14,
+0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C,0x62F201AC,0xAECC336C,
+0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2,0xA1288376,0x5133CC94,
+0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C,0x41CE1E65,0x9235F2EC,
+0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D,0x89BE50C3,0x2B1F34EB,
+0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412,0x18F8B83C,0x8275A0C0,
+0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C,0x80277872,0x00000000,
+0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971,0xED37EF91,0x8162AA04,
+0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2,0x8582FAA5,0xD4E0CB15,
+0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F,0xC3A94590,0x8F1D343A,
+0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C,0x99307EE0,0xAECC336C,
+0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666,0xA1288376,0xAA0A5B2E,
+0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C,0xB8E31319,0x9235F2EC,
+0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC,0x89BE50C3,0xCF043AB3,
+0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412,0xE0E60685,0x8275A0C0,
+0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2,0x80277872,0xF9B82684,
+0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4,
+0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3,
+0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3,
+0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319,
+0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A,
+0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,};
+
+q31_t rearranged_twiddle_stride3_4096_q31[2728]={
+0x7FFFFFFF,0x00000000,0x7FFFA72C,0xFF69343F,0x7FFE9CB2,0xFED2694F,0x7FFCE093,
+0xFE3BA002,0x7FFA72D1,0xFDA4D929,0x7FF75370,0xFD0E1594,0x7FF38274,0xFC775616,
+0x7FEEFFE1,0xFBE09B80,0x7FE9CBC0,0xFB49E6A3,0x7FE3E616,0xFAB3384F,0x7FDD4EEC,
+0xFA1C9157,0x7FD6064C,0xF985F28A,0x7FCE0C3E,0xF8EF5CBB,0x7FC560CF,0xF858D0BB,
+0x7FBC040A,0xF7C24F59,0x7FB1F5FC,0xF72BD967,0x7FA736B4,0xF6956FB7,0x7F9BC640,
+0xF5FF1318,0x7F8FA4B0,0xF568C45B,0x7F82D214,0xF4D28451,0x7F754E80,0xF43C53CB,
+0x7F671A05,0xF3A63398,0x7F5834B7,0xF310248A,0x7F489EAA,0xF27A2771,0x7F3857F6,
+0xF1E43D1C,0x7F2760AF,0xF14E665C,0x7F15B8EE,0xF0B8A401,0x7F0360CB,0xF022F6DA,
+0x7EF05860,0xEF8D5FB8,0x7EDC9FC6,0xEEF7DF6A,0x7EC8371A,0xEE6276BF,0x7EB31E78,
+0xEDCD2687,0x7E9D55FC,0xED37EF91,0x7E86DDC6,0xECA2D2AD,0x7E6FB5F4,0xEC0DD0A8,
+0x7E57DEA7,0xEB78EA52,0x7E3F57FF,0xEAE4207A,0x7E26221F,0xEA4F73EE,0x7E0C3D29,
+0xE9BAE57D,0x7DF1A942,0xE92675F4,0x7DD6668F,0xE8922622,0x7DBA7534,0xE7FDF6D4,
+0x7D9DD55A,0xE769E8D8,0x7D808728,0xE6D5FCFC,0x7D628AC6,0xE642340D,0x7D43E05E,
+0xE5AE8ED8,0x7D24881B,0xE51B0E2A,0x7D048228,0xE487B2D0,0x7CE3CEB2,0xE3F47D96,
+0x7CC26DE5,0xE3616F48,0x7CA05FF1,0xE2CE88B3,0x7C7DA505,0xE23BCAA2,0x7C5A3D50,
+0xE1A935E2,0x7C362904,0xE116CB3D,0x7C116853,0xE0848B7F,0x7BEBFB70,0xDFF27773,
+0x7BC5E290,0xDF608FE4,0x7B9F1DE6,0xDECED59B,0x7B77ADA8,0xDE3D4964,0x7B4F920E,
+0xDDABEC08,0x7B26CB4F,0xDD1ABE51,0x7AFD59A4,0xDC89C109,0x7AD33D45,0xDBF8F4F8,
+0x7AA8766F,0xDB685AE9,0x7A7D055B,0xDAD7F3A2,0x7A50EA47,0xDA47BFEE,0x7A24256F,
+0xD9B7C094,0x79F6B711,0xD927F65B,0x79C89F6E,0xD898620C,0x7999DEC4,0xD809046E,
+0x796A7554,0xD779DE47,0x793A6361,0xD6EAF05F,0x7909A92D,0xD65C3B7B,0x78D846FB,
+0xD5CDC062,0x78A63D11,0xD53F7FDA,0x78738BB3,0xD4B17AA8,0x78403329,0xD423B191,
+0x780C33B8,0xD396255A,0x77D78DAA,0xD308D6C7,0x77A24148,0xD27BC69C,0x776C4EDB,
+0xD1EEF59E,0x7735B6AF,0xD1626490,0x76FE790E,0xD0D61434,0x76C69647,0xD04A054E,
+0x768E0EA6,0xCFBE389F,0x7654E279,0xCF32AEEB,0x761B1211,0xCEA768F2,0x75E09DBD,
+0xCE1C6777,0x75A585CF,0xCD91AB39,0x7569CA99,0xCD0734F9,0x752D6C6C,0xCC7D0578,
+0x74F06B9E,0xCBF31D75,0x74B2C884,0xCB697DB0,0x74748371,0xCAE026E8,0x74359CBD,
+0xCA5719DB,0x73F614C0,0xC9CE5748,0x73B5EBD1,0xC945DFEC,0x73752249,0xC8BDB485,
+0x7333B883,0xC835D5D0,0x72F1AED9,0xC7AE4489,0x72AF05A7,0xC727016D,0x726BBD48,
+0xC6A00D37,0x7227D61C,0xC61968A2,0x71E35080,0xC593146A,0x719E2CD2,0xC50D1149,
+0x71586B74,0xC4875FF9,0x71120CC5,0xC4020133,0x70CB1128,0xC37CF5B0,0x708378FF,
+0xC2F83E2A,0x703B44AD,0xC273DB58,0x6FF27497,0xC1EFCDF3,0x6FA90921,0xC16C16B0,
+0x6F5F02B2,0xC0E8B648,0x6F1461B0,0xC065AD70,0x6EC92683,0xBFE2FCDF,0x6E7D5193,
+0xBF60A54A,0x6E30E34A,0xBEDEA765,0x6DE3DC11,0xBE5D03E6,0x6D963C54,0xBDDBBB7F,
+0x6D48047E,0xBD5ACEE5,0x6CF934FC,0xBCDA3ECB,0x6CA9CE3B,0xBC5A0BE2,0x6C59D0A9,
+0xBBDA36DD,0x6C093CB6,0xBB5AC06D,0x6BB812D1,0xBADBA943,0x6B66536B,0xBA5CF210,
+0x6B13FEF5,0xB9DE9B83,0x6AC115E2,0xB960A64C,0x6A6D98A4,0xB8E31319,0x6A1987B0,
+0xB865E299,0x69C4E37A,0xB7E9157A,0x696FAC78,0xB76CAC69,0x6919E320,0xB6F0A812,
+0x68C387E9,0xB6750921,0x686C9B4B,0xB5F9D043,0x68151DBE,0xB57EFE22,0x67BD0FBD,
+0xB5049368,0x676471C0,0xB48A90C0,0x670B4444,0xB410F6D3,0x66B187C3,0xB397C649,
+0x66573CBB,0xB31EFFCC,0x65FC63A9,0xB2A6A402,0x65A0FD0B,0xB22EB392,0x6545095F,
+0xB1B72F23,0x64E88926,0xB140175B,0x648B7CE0,0xB0C96CE0,0x642DE50D,0xB0533055,
+0x63CFC231,0xAFDD625F,0x637114CC,0xAF6803A2,0x6311DD64,0xAEF314C0,0x62B21C7B,
+0xAE7E965B,0x6251D298,0xAE0A8916,0x61F1003F,0xAD96ED92,0x618FA5F7,0xAD23C46E,
+0x612DC447,0xACB10E4B,0x60CB5BB7,0xAC3ECBC7,0x60686CCF,0xABCCFD83,0x6004F819,
+0xAB5BA41A,0x5FA0FE1F,0xAAEAC02C,0x5F3C7F6B,0xAA7A5253,0x5ED77C8A,0xAA0A5B2E,
+0x5E71F606,0xA99ADB56,0x5E0BEC6E,0xA92BD367,0x5DA5604F,0xA8BD43FA,0x5D3E5237,
+0xA84F2DAA,0x5CD6C2B5,0xA7E1910F,0x5C6EB258,0xA7746EC0,0x5C0621B2,0xA707C757,
+0x5B9D1154,0xA69B9B68,0x5B3381CE,0xA62FEB8B,0x5AC973B5,0xA5C4B855,0x5A5EE79A,
+0xA55A025B,0x59F3DE12,0xA4EFCA31,0x598857B2,0xA486106A,0x591C550E,0xA41CD599,
+0x58AFD6BD,0xA3B41A50,0x5842DD54,0xA34BDF20,0x57D5696D,0xA2E4249B,0x57677B9D,
+0xA27CEB4F,0x56F9147E,0xA21633CD,0x568A34A9,0xA1AFFEA3,0x561ADCB9,0xA14A4C5E,
+0x55AB0D46,0xA0E51D8C,0x553AC6EE,0xA08072BA,0x54CA0A4B,0xA01C4C73,0x5458D7F9,
+0x9FB8AB41,0x53E73097,0x9F558FB0,0x537514C2,0x9EF2FA49,0x53028518,0x9E90EB94,
+0x528F8238,0x9E2F641B,0x521C0CC2,0x9DCE6463,0x51A82555,0x9D6DECF4,0x5133CC94,
+0x9D0DFE54,0x50BF031F,0x9CAE9907,0x5049C999,0x9C4FBD93,0x4FD420A4,0x9BF16C7A,
+0x4F5E08E3,0x9B93A641,0x4EE782FB,0x9B366B68,0x4E708F8F,0x9AD9BC71,0x4DF92F46,
+0x9A7D99DE,0x4D8162C4,0x9A22042D,0x4D092AB0,0x99C6FBDE,0x4C9087B1,0x996C816F,
+0x4C177A6E,0x9912955F,0x4B9E0390,0x98B93828,0x4B2423BE,0x98606A49,0x4AA9DBA2,
+0x98082C3B,0x4A2F2BE6,0x97B07E7A,0x49B41533,0x9759617F,0x49389836,0x9702D5C3,
+0x48BCB599,0x96ACDBBE,0x48406E08,0x965773E7,0x47C3C22F,0x96029EB6,0x4746B2BC,
+0x95AE5C9F,0x46C9405C,0x955AAE17,0x464B6BBE,0x95079394,0x45CD358F,0x94B50D87,
+0x454E9E80,0x94631C65,0x44CFA740,0x9411C09E,0x4450507E,0x93C0FAA3,0x43D09AED,
+0x9370CAE4,0x4350873C,0x932131D1,0x42D0161E,0x92D22FD9,0x424F4845,0x9283C568,
+0x41CE1E65,0x9235F2EC,0x414C992F,0x91E8B8D0,0x40CAB958,0x919C1781,0x40487F94,
+0x91500F67,0x3FC5EC98,0x9104A0EE,0x3F430119,0x90B9CC7D,0x3EBFBDCD,0x906F927C,
+0x3E3C2369,0x9025F352,0x3DB832A6,0x8FDCEF66,0x3D33EC39,0x8F94871D,0x3CAF50DA,
+0x8F4CBADB,0x3C2A6142,0x8F058B04,0x3BA51E29,0x8EBEF7FB,0x3B1F8848,0x8E790222,
+0x3A99A057,0x8E33A9DA,0x3A136712,0x8DEEEF82,0x398CDD32,0x8DAAD37B,0x39060373,
+0x8D675623,0x387EDA8E,0x8D2477D8,0x37F76341,0x8CE238F6,0x376F9E46,0x8CA099DA,
+0x36E78C5B,0x8C5F9ADE,0x365F2E3B,0x8C1F3C5D,0x35D684A6,0x8BDF7EB0,0x354D9057,
+0x8BA0622F,0x34C4520D,0x8B61E733,0x343ACA87,0x8B240E11,0x33B0FA84,0x8AE6D720,
+0x3326E2C3,0x8AAA42B4,0x329C8402,0x8A6E5123,0x3211DF04,0x8A3302BE,0x3186F487,
+0x89F857D8,0x30FBC54D,0x89BE50C3,0x30705217,0x8984EDCF,0x2FE49BA7,0x894C2F4C,
+0x2F58A2BE,0x89141589,0x2ECC681E,0x88DCA0D3,0x2E3FEC8B,0x88A5D177,0x2DB330C7,
+0x886FA7C2,0x2D263596,0x883A23FF,0x2C98FBBA,0x88054677,0x2C0B83FA,0x87D10F75,
+0x2B7DCF17,0x879D7F41,0x2AEFDDD8,0x876A9621,0x2A61B101,0x8738545E,0x29D34958,
+0x8706BA3D,0x2944A7A2,0x86D5C802,0x28B5CCA5,0x86A57DF2,0x2826B928,0x8675DC4F,
+0x27976DF1,0x8646E35C,0x2707EBC7,0x86189359,0x26783370,0x85EAEC88,0x25E845B6,
+0x85BDEF28,0x2558235F,0x85919B76,0x24C7CD33,0x8565F1B0,0x243743FA,0x853AF214,
+0x23A6887F,0x85109CDD,0x23159B88,0x84E6F244,0x22847DE0,0x84BDF286,0x21F3304F,
+0x84959DD9,0x2161B3A0,0x846DF477,0x20D0089C,0x8446F695,0x203E300D,0x8420A46C,
+0x1FAC2ABF,0x83FAFE2E,0x1F19F97B,0x83D60412,0x1E879D0D,0x83B1B649,0x1DF5163F,
+0x838E1507,0x1D6265DD,0x836B207D,0x1CCF8CB3,0x8348D8DC,0x1C3C8B8C,0x83273E52,
+0x1BA96335,0x83065110,0x1B161479,0x82E61141,0x1A82A026,0x82C67F14,0x19EF0707,
+0x82A79AB3,0x195B49EA,0x8289644B,0x18C7699B,0x826BDC04,0x183366E9,0x824F0208,
+0x179F429F,0x8232D67F,0x170AFD8D,0x82175990,0x1676987F,0x81FC8B60,0x15E21445,
+0x81E26C16,0x154D71AA,0x81C8FBD6,0x14B8B17F,0x81B03AC2,0x1423D492,0x819828FD,
+0x138EDBB1,0x8180C6A9,0x12F9C7AA,0x816A13E6,0x1264994E,0x815410D4,0x11CF516A,
+0x813EBD90,0x1139F0CF,0x812A1A3A,0x10A4784B,0x811626EC,0x100EE8AD,0x8102E3C4,
+0x0F7942C7,0x80F050DB,0x0EE38766,0x80DE6E4C,0x0E4DB75B,0x80CD3C2F,0x0DB7D376,
+0x80BCBA9D,0x0D21DC87,0x80ACE9AB,0x0C8BD35E,0x809DC971,0x0BF5B8CB,0x808F5A02,
+0x0B5F8D9F,0x80819B74,0x0AC952AA,0x80748DD9,0x0A3308BD,0x80683143,0x099CB0A7,
+0x805C85C4,0x09064B3A,0x80518B6B,0x086FD947,0x80474248,0x07D95B9E,0x803DAA6A,
+0x0742D311,0x8034C3DD,0x06AC406F,0x802C8EAD,0x0615A48B,0x80250AE7,0x057F0035,
+0x801E3895,0x04E8543E,0x801817BF,0x0451A177,0x8012A86F,0x03BAE8B2,0x800DEAAD,
+0x03242ABF,0x8009DE7E,0x028D6870,0x800683E8,0x01F6A297,0x8003DAF1,0x015FDA03,
+0x8001E39B,0x00C90F88,0x80009DEA,0x003243F5,0x800009DF,0xFF9B781D,0x8000277A,
+0xFF04ACD0,0x8000F6BD,0xFE6DE2E0,0x800277A6,0xFDD71B1E,0x8004AA32,0xFD40565C,
+0x80078E5E,0xFCA9956A,0x800B2427,0xFC12D91A,0x800F6B88,0xFB7C223D,0x8014647B,
+0xFAE571A4,0x801A0EF8,0xFA4EC821,0x80206AF8,0xF9B82684,0x80277872,0xF9218D9E,
+0x802F375D,0xF88AFE42,0x8037A7AC,0xF7F4793E,0x8040C956,0xF75DFF66,0x804A9C4D,
+0xF6C79188,0x80552084,0xF6313077,0x806055EB,0xF59ADD02,0x806C3C74,0xF50497FB,
+0x8078D40D,0xF46E6231,0x80861CA6,0xF3D83C77,0x8094162C,0xF342279B,0x80A2C08B,
+0xF2AC246E,0x80B21BAF,0xF21633C0,0x80C22784,0xF1805662,0x80D2E3F2,0xF0EA8D24,
+0x80E450E2,0xF054D8D5,0x80F66E3C,0xEFBF3A45,0x81093BE8,0xEF29B243,0x811CB9CA,
+0xEE9441A0,0x8130E7C9,0xEDFEE92B,0x8145C5C7,0xED69A9B3,0x815B53A8,0xECD48407,
+0x8171914E,0xEC3F78F6,0x81887E9A,0xEBAA894F,0x81A01B6D,0xEB15B5E1,0x81B867A5,
+0xEA80FF7A,0x81D16321,0xE9EC66E8,0x81EB0DBE,0xE957ECFB,0x82056758,0xE8C39280,
+0x82206FCC,0xE82F5844,0x823C26F3,0xE79B3F16,0x82588CA7,0xE70747C4,0x8275A0C0,
+0xE6737319,0x82936317,0xE5DFC1E5,0x82B1D381,0xE54C34F3,0x82D0F1D5,0xE4B8CD11,
+0x82F0BDE8,0xE4258B0A,0x8311378D,0xE3926FAD,0x83325E97,0xE2FF7BC3,0x835432D8,
+0xE26CB01B,0x8376B422,0xE1DA0D7E,0x8399E244,0xE14794BA,0x83BDBD0E,0xE0B54698,
+0x83E2444D,0xE02323E5,0x840777D0,0xDF912D6B,0x842D5762,0xDEFF63F4,0x8453E2CF,
+0xDE6DC84B,0x847B19E1,0xDDDC5B3B,0x84A2FC62,0xDD4B1D8C,0x84CB8A1B,0xDCBA1008,
+0x84F4C2D4,0xDC293379,0x851EA652,0xDB9888A8,0x8549345C,0xDB08105E,0x85746CB8,
+0xDA77CB63,0x85A04F28,0xD9E7BA7F,0x85CCDB70,0xD957DE7A,0x85FA1153,0xD8C8381D,
+0x8627F091,0xD838C82D,0x865678EB,0xD7A98F73,0x8685AA20,0xD71A8EB5,0x86B583EE,
+0xD68BC6BA,0x86E60614,0xD5FD3848,0x8717304E,0xD56EE424,0x87490258,0xD4E0CB15,
+0x877B7BEC,0xD452EDDF,0x87AE9CC5,0xD3C54D47,0x87E2649B,0xD337EA12,0x8816D327,
+0xD2AAC504,0x884BE821,0xD21DDEE2,0x8881A33D,0xD191386E,0x88B80432,0xD104D26B,
+0x88EF0AB4,0xD078AD9E,0x8926B677,0xCFECCAC7,0x895F072E,0xCF612AAA,0x8997FC8A,
+0xCED5CE08,0x89D1963C,0xCE4AB5A2,0x8A0BD3F5,0xCDBFE23A,0x8A46B564,0xCD355491,
+0x8A823A36,0xCCAB0D65,0x8ABE6219,0xCC210D79,0x8AFB2CBB,0xCB97558A,0x8B3899C6,
+0xCB0DE658,0x8B76A8E4,0xCA84C0A3,0x8BB559C1,0xC9FBE527,0x8BF4AC05,0xC97354A4,
+0x8C349F58,0xC8EB0FD6,0x8C753362,0xC863177B,0x8CB667C8,0xC7DB6C50,0x8CF83C30,
+0xC7540F11,0x8D3AB03F,0xC6CD0079,0x8D7DC399,0xC6464144,0x8DC175E0,0xC5BFD22E,
+0x8E05C6B7,0xC539B3F1,0x8E4AB5BF,0xC4B3E746,0x8E904298,0xC42E6CE8,0x8ED66CE1,
+0xC3A94590,0x8F1D343A,0xC32471F7,0x8F649840,0xC29FF2D4,0x8FAC988F,0xC21BC8E1,
+0x8FF534C4,0xC197F4D4,0x903E6C7B,0xC1147764,0x90883F4D,0xC0915148,0x90D2ACD4,
+0xC00E8336,0x911DB4A9,0xBF8C0DE3,0x91695663,0xBF09F205,0x91B5919A,0xBE88304F,
+0x920265E4,0xBE06C977,0x924FD2D7,0xBD85BE30,0x929DD806,0xBD050F2C,0x92EC7505,
+0xBC84BD1F,0x933BA968,0xBC04C8BA,0x938B74C1,0xBB8532B0,0x93DBD6A0,0xBB05FBB0,
+0x942CCE96,0xBA87246D,0x947E5C33,0xBA08AD95,0x94D07F05,0xB98A97D8,0x9523369C,
+0xB90CE3E6,0x95768283,0xB88F926D,0x95CA6247,0xB812A41A,0x961ED574,0xB796199B,
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+0xDA47BFEE,0x7A50EA47,0xDAD7F3A2,0x7A7D055B,0xDB685AE9,0x7AA8766F,0xDBF8F4F8,
+0x7AD33D45,0xDC89C109,0x7AFD59A4,0xDD1ABE51,0x7B26CB4F,0xDDABEC08,0x7B4F920E,
+0xDE3D4964,0x7B77ADA8,0xDECED59B,0x7B9F1DE6,0xDF608FE4,0x7BC5E290,0xDFF27773,
+0x7BEBFB70,0xE0848B7F,0x7C116853,0xE116CB3D,0x7C362904,0xE1A935E2,0x7C5A3D50,
+0xE23BCAA2,0x7C7DA505,0xE2CE88B3,0x7CA05FF1,0xE3616F48,0x7CC26DE5,0xE3F47D96,
+0x7CE3CEB2,0xE487B2D0,0x7D048228,0xE51B0E2A,0x7D24881B,0xE5AE8ED8,0x7D43E05E,
+0xE642340D,0x7D628AC6,0xE6D5FCFC,0x7D808728,0xE769E8D8,0x7D9DD55A,0xE7FDF6D4,
+0x7DBA7534,0xE8922622,0x7DD6668F,0xE92675F4,0x7DF1A942,0xE9BAE57D,0x7E0C3D29,
+0xEA4F73EE,0x7E26221F,0xEAE4207A,0x7E3F57FF,0xEB78EA52,0x7E57DEA7,0xEC0DD0A8,
+0x7E6FB5F4,0xECA2D2AD,0x7E86DDC6,0xED37EF91,0x7E9D55FC,0xEDCD2687,0x7EB31E78,
+0xEE6276BF,0x7EC8371A,0xEEF7DF6A,0x7EDC9FC6,0xEF8D5FB8,0x7EF05860,0xF022F6DA,
+0x7F0360CB,0xF0B8A401,0x7F15B8EE,0xF14E665C,0x7F2760AF,0xF1E43D1C,0x7F3857F6,
+0xF27A2771,0x7F489EAA,0xF310248A,0x7F5834B7,0xF3A63398,0x7F671A05,0xF43C53CB,
+0x7F754E80,0xF4D28451,0x7F82D214,0xF568C45B,0x7F8FA4B0,0xF5FF1318,0x7F9BC640,
+0xF6956FB7,0x7FA736B4,0xF72BD967,0x7FB1F5FC,0xF7C24F59,0x7FBC040A,0xF858D0BB,
+0x7FC560CF,0xF8EF5CBB,0x7FCE0C3E,0xF985F28A,0x7FD6064C,0xFA1C9157,0x7FDD4EEC,
+0xFAB3384F,0x7FE3E616,0xFB49E6A3,0x7FE9CBC0,0xFBE09B80,0x7FEEFFE1,0xFC775616,
+0x7FF38274,0xFD0E1594,0x7FF75370,0xFDA4D929,0x7FFA72D1,0xFE3BA002,0x7FFCE093,
+0xFED2694F,0x7FFE9CB2,0xFF69343F,0x7FFFA72C,0x7FFFFFFF,0x00000000,0x7FFA72D1,
+0xFDA4D929,0x7FE9CBC0,0xFB49E6A3,0x7FCE0C3E,0xF8EF5CBB,0x7FA736B4,0xF6956FB7,
+0x7F754E80,0xF43C53CB,0x7F3857F6,0xF1E43D1C,0x7EF05860,0xEF8D5FB8,0x7E9D55FC,
+0xED37EF91,0x7E3F57FF,0xEAE4207A,0x7DD6668F,0xE8922622,0x7D628AC6,0xE642340D,
+0x7CE3CEB2,0xE3F47D96,0x7C5A3D50,0xE1A935E2,0x7BC5E290,0xDF608FE4,0x7B26CB4F,
+0xDD1ABE51,0x7A7D055B,0xDAD7F3A2,0x79C89F6E,0xD898620C,0x7909A92D,0xD65C3B7B,
+0x78403329,0xD423B191,0x776C4EDB,0xD1EEF59E,0x768E0EA6,0xCFBE389F,0x75A585CF,
+0xCD91AB39,0x74B2C884,0xCB697DB0,0x73B5EBD1,0xC945DFEC,0x72AF05A7,0xC727016D,
+0x719E2CD2,0xC50D1149,0x708378FF,0xC2F83E2A,0x6F5F02B2,0xC0E8B648,0x6E30E34A,
+0xBEDEA765,0x6CF934FC,0xBCDA3ECB,0x6BB812D1,0xBADBA943,0x6A6D98A4,0xB8E31319,
+0x6919E320,0xB6F0A812,0x67BD0FBD,0xB5049368,0x66573CBB,0xB31EFFCC,0x64E88926,
+0xB140175B,0x637114CC,0xAF6803A2,0x61F1003F,0xAD96ED92,0x60686CCF,0xABCCFD83,
+0x5ED77C8A,0xAA0A5B2E,0x5D3E5237,0xA84F2DAA,0x5B9D1154,0xA69B9B68,0x59F3DE12,
+0xA4EFCA31,0x5842DD54,0xA34BDF20,0x568A34A9,0xA1AFFEA3,0x54CA0A4B,0xA01C4C73,
+0x53028518,0x9E90EB94,0x5133CC94,0x9D0DFE54,0x4F5E08E3,0x9B93A641,0x4D8162C4,
+0x9A22042D,0x4B9E0390,0x98B93828,0x49B41533,0x9759617F,0x47C3C22F,0x96029EB6,
+0x45CD358F,0x94B50D87,0x43D09AED,0x9370CAE4,0x41CE1E65,0x9235F2EC,0x3FC5EC98,
+0x9104A0EE,0x3DB832A6,0x8FDCEF66,0x3BA51E29,0x8EBEF7FB,0x398CDD32,0x8DAAD37B,
+0x376F9E46,0x8CA099DA,0x354D9057,0x8BA0622F,0x3326E2C3,0x8AAA42B4,0x30FBC54D,
+0x89BE50C3,0x2ECC681E,0x88DCA0D3,0x2C98FBBA,0x88054677,0x2A61B101,0x8738545E,
+0x2826B928,0x8675DC4F,0x25E845B6,0x85BDEF28,0x23A6887F,0x85109CDD,0x2161B3A0,
+0x846DF477,0x1F19F97B,0x83D60412,0x1CCF8CB3,0x8348D8DC,0x1A82A026,0x82C67F14,
+0x183366E9,0x824F0208,0x15E21445,0x81E26C16,0x138EDBB1,0x8180C6A9,0x1139F0CF,
+0x812A1A3A,0x0EE38766,0x80DE6E4C,0x0C8BD35E,0x809DC971,0x0A3308BD,0x80683143,
+0x07D95B9E,0x803DAA6A,0x057F0035,0x801E3895,0x03242ABF,0x8009DE7E,0x00C90F88,
+0x80009DEA,0xFE6DE2E0,0x800277A6,0xFC12D91A,0x800F6B88,0xF9B82684,0x80277872,
+0xF75DFF66,0x804A9C4D,0xF50497FB,0x8078D40D,0xF2AC246E,0x80B21BAF,0xF054D8D5,
+0x80F66E3C,0xEDFEE92B,0x8145C5C7,0xEBAA894F,0x81A01B6D,0xE957ECFB,0x82056758,
+0xE70747C4,0x8275A0C0,0xE4B8CD11,0x82F0BDE8,0xE26CB01B,0x8376B422,0xE02323E5,
+0x840777D0,0xDDDC5B3B,0x84A2FC62,0xDB9888A8,0x8549345C,0xD957DE7A,0x85FA1153,
+0xD71A8EB5,0x86B583EE,0xD4E0CB15,0x877B7BEC,0xD2AAC504,0x884BE821,0xD078AD9E,
+0x8926B677,0xCE4AB5A2,0x8A0BD3F5,0xCC210D79,0x8AFB2CBB,0xC9FBE527,0x8BF4AC05,
+0xC7DB6C50,0x8CF83C30,0xC5BFD22E,0x8E05C6B7,0xC3A94590,0x8F1D343A,0xC197F4D4,
+0x903E6C7B,0xBF8C0DE3,0x91695663,0xBD85BE30,0x929DD806,0xBB8532B0,0x93DBD6A0,
+0xB98A97D8,0x9523369C,0xB796199B,0x9673DB94,0xB5A7E362,0x97CDA855,0xB3C0200C,
+0x99307EE0,0xB1DEF9E9,0x9A9C406E,0xB0049AB3,0x9C10CD70,0xAE312B92,0x9D8E0597,
+0xAC64D510,0x9F13C7D0,0xAA9FBF1E,0xA0A1F24D,0xA8E21106,0xA2386284,0xA72BF174,
+0xA3D6F534,0xA57D8666,0xA57D8666,0xA3D6F534,0xA72BF174,0xA2386284,0xA8E21106,
+0xA0A1F24D,0xAA9FBF1E,0x9F13C7D0,0xAC64D510,0x9D8E0597,0xAE312B92,0x9C10CD70,
+0xB0049AB3,0x9A9C406E,0xB1DEF9E9,0x99307EE0,0xB3C0200C,0x97CDA855,0xB5A7E362,
+0x9673DB94,0xB796199B,0x9523369C,0xB98A97D8,0x93DBD6A0,0xBB8532B0,0x929DD806,
+0xBD85BE30,0x91695663,0xBF8C0DE3,0x903E6C7B,0xC197F4D4,0x8F1D343A,0xC3A94590,
+0x8E05C6B7,0xC5BFD22E,0x8CF83C30,0xC7DB6C50,0x8BF4AC05,0xC9FBE527,0x8AFB2CBB,
+0xCC210D79,0x8A0BD3F5,0xCE4AB5A2,0x8926B677,0xD078AD9E,0x884BE821,0xD2AAC504,
+0x877B7BEC,0xD4E0CB15,0x86B583EE,0xD71A8EB5,0x85FA1153,0xD957DE7A,0x8549345C,
+0xDB9888A8,0x84A2FC62,0xDDDC5B3B,0x840777D0,0xE02323E5,0x8376B422,0xE26CB01B,
+0x82F0BDE8,0xE4B8CD11,0x8275A0C0,0xE70747C4,0x82056758,0xE957ECFB,0x81A01B6D,
+0xEBAA894F,0x8145C5C7,0xEDFEE92B,0x80F66E3C,0xF054D8D5,0x80B21BAF,0xF2AC246E,
+0x8078D40D,0xF50497FB,0x804A9C4D,0xF75DFF66,0x80277872,0xF9B82684,0x800F6B88,
+0xFC12D91A,0x800277A6,0xFE6DE2E0,0x80009DEA,0x00C90F88,0x8009DE7E,0x03242ABF,
+0x801E3895,0x057F0035,0x803DAA6A,0x07D95B9E,0x80683143,0x0A3308BD,0x809DC971,
+0x0C8BD35E,0x80DE6E4C,0x0EE38766,0x812A1A3A,0x1139F0CF,0x8180C6A9,0x138EDBB1,
+0x81E26C16,0x15E21445,0x824F0208,0x183366E9,0x82C67F14,0x1A82A026,0x8348D8DC,
+0x1CCF8CB3,0x83D60412,0x1F19F97B,0x846DF477,0x2161B3A0,0x85109CDD,0x23A6887F,
+0x85BDEF28,0x25E845B6,0x8675DC4F,0x2826B928,0x8738545E,0x2A61B101,0x88054677,
+0x2C98FBBA,0x88DCA0D3,0x2ECC681E,0x89BE50C3,0x30FBC54D,0x8AAA42B4,0x3326E2C3,
+0x8BA0622F,0x354D9057,0x8CA099DA,0x376F9E46,0x8DAAD37B,0x398CDD32,0x8EBEF7FB,
+0x3BA51E29,0x8FDCEF66,0x3DB832A6,0x9104A0EE,0x3FC5EC98,0x9235F2EC,0x41CE1E65,
+0x9370CAE4,0x43D09AED,0x94B50D87,0x45CD358F,0x96029EB6,0x47C3C22F,0x9759617F,
+0x49B41533,0x98B93828,0x4B9E0390,0x9A22042D,0x4D8162C4,0x9B93A641,0x4F5E08E3,
+0x9D0DFE54,0x5133CC94,0x9E90EB94,0x53028518,0xA01C4C73,0x54CA0A4B,0xA1AFFEA3,
+0x568A34A9,0xA34BDF20,0x5842DD54,0xA4EFCA31,0x59F3DE12,0xA69B9B68,0x5B9D1154,
+0xA84F2DAA,0x5D3E5237,0xAA0A5B2E,0x5ED77C8A,0xABCCFD83,0x60686CCF,0xAD96ED92,
+0x61F1003F,0xAF6803A2,0x637114CC,0xB140175B,0x64E88926,0xB31EFFCC,0x66573CBB,
+0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320,0xB8E31319,0x6A6D98A4,0xBADBA943,
+0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765,0x6E30E34A,0xC0E8B648,0x6F5F02B2,
+0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2,0xC727016D,0x72AF05A7,0xC945DFEC,
+0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39,0x75A585CF,0xCFBE389F,0x768E0EA6,
+0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329,0xD65C3B7B,0x7909A92D,0xD898620C,
+0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51,0x7B26CB4F,0xDF608FE4,0x7BC5E290,
+0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2,0xE642340D,0x7D628AC6,0xE8922622,
+0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91,0x7E9D55FC,0xEF8D5FB8,0x7EF05860,
+0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80,0xF6956FB7,0x7FA736B4,0xF8EF5CBB,
+0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929,0x7FFA72D1,0x7FFFFFFF,0x00000000,
+0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2,0xE3F47D96,0x7A7D055B,
+0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC,0x6F5F02B2,0xC0E8B648,
+0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A,0xAA0A5B2E,0x5842DD54,
+0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F,0x41CE1E65,0x9235F2EC,
+0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928,0x8675DC4F,0x1F19F97B,
+0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971,0x03242ABF,0x8009DE7E,
+0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4,0x8275A0C0,0xDDDC5B3B,
+0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB,0xC3A94590,0x8F1D343A,
+0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510,0x9F13C7D0,0xA57D8666,
+0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C,0x93DBD6A0,0xBB8532B0,
+0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC,0xD4E0CB15,0x84A2FC62,
+0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5,0x80277872,0xF9B82684,
+0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16,0x15E21445,0x83D60412,
+0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D,0x8DAAD37B,0x398CDD32,
+0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54,0x5133CC94,0xA34BDF20,
+0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926,0xB8E31319,0x6A6D98A4,
+0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E,0x776C4EDB,0xDAD7F3A2,
+0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC,0xF6956FB7,0x7FA736B4,
+0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94,
+0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0,
+0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0,
+0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94,
+0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D,
+0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,};
+
+#endif
+
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+#endif /* defined(ARM_MATH_MVEI) */
+
+#include "arm_math.h"
+
+#if defined(ARM_MATH_MVEI)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]={
+0,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]={
+0,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]={
+0,0,};
+
+q15_t rearranged_twiddle_stride1_16_q15[8]={
+0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,};
+
+q15_t rearranged_twiddle_stride2_16_q15[8]={
+0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,};
+
+q15_t rearranged_twiddle_stride3_16_q15[8]={
+0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]={
+0,32,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]={
+0,32,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]={
+0,32,0,};
+
+q15_t rearranged_twiddle_stride1_64_q15[40]={
+0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3,
+0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592,
+0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF,
+0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,};
+
+q15_t rearranged_twiddle_stride2_64_q15[40]={
+0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D,
+0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE,
+0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF,
+0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,};
+
+q15_t rearranged_twiddle_stride3_64_q15[40]={
+0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C,
+0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707,
+0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF,
+0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]={
+0,128,160,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]={
+0,128,160,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]={
+0,128,160,0,};
+
+q15_t rearranged_twiddle_stride1_256_q15[168]={
+0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9,0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A,
+0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E,0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6,
+0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A,0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642,
+0xCF04,0x7505,0xCC21,0x73B6,0xC946,0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9,
+0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E,0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9,
+0xB140,0x62F2,0xAECC,0x60EC,0xAC65,0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E,
+0x5843,0xA34C,0x55F6,0xA129,0x539B,0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40,
+0x9930,0x49B4,0x9759,0x471D,0x9592,0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1,
+0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA,0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11,
+0x8894,0x2B1F,0x877B,0x2827,0x8676,0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6,
+0x1C0C,0x831C,0x18F9,0x8276,0x15E2,0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C,
+0x809E,0x096B,0x8059,0x0648,0x8027,0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374,
+0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2,
+0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE,
+0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82,
+0xA57E,0x30FC,0x89BE,};
+
+q15_t rearranged_twiddle_stride2_256_q15[168]={
+0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62,0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A,
+0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1,0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9,
+0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0,0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82,
+0xA57E,0x55F6,0xA129,0x5134,0x9D0E,0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236,
+0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC,0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A,
+0x83D6,0x18F9,0x8276,0x12C8,0x8163,0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000,
+0xF9B8,0x8027,0xF374,0x809E,0xED38,0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,
+0x8583,0xD4E1,0x877B,0xCF04,0x89BE,0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,
+0xB8E3,0x9592,0xB3C0,0x9930,0xAECC,0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,
+0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0,0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,
+0x8C4A,0xC946,0x89BE,0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,
+0xE707,0x8163,0xED38,0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,
+0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,
+0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,
+0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,
+0x8000,0xA57E,0xA57E,};
+
+q15_t rearranged_twiddle_stride3_256_q15[168]={
+0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,
+0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,
+0x5843,0xA34C,0x5134,0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,
+0x89BE,0x2827,0x8676,0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,
+0xF9B8,0x8027,0xF055,0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,
+0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,
+0x9F14,0xAC65,0x9930,0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,
+0xD4E1,0x84A3,0xDDDC,0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,
+0x809E,0x0C8C,0x81E2,0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,
+0x398D,0x9236,0x41CE,0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,
+0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,
+0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,
+0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,
+0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,
+0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,
+0xA57E,0x89BE,0x30FC,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]={
+0,512,640,672,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]={
+0,512,640,672,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]={
+0,512,640,672,0,};
+
+q15_t rearranged_twiddle_stride1_1024_q15[680]={
+0x7FFF,0x0000,0x7FFF,0xFF37,0x7FFE,0xFE6E,0x7FFA,0xFDA5,0x7FF6,0xFCDC,0x7FF1,
+0xFC13,0x7FEA,0xFB4A,0x7FE2,0xFA81,0x7FD9,0xF9B8,0x7FCE,0xF8EF,0x7FC2,0xF827,
+0x7FB5,0xF75E,0x7FA7,0xF695,0x7F98,0xF5CD,0x7F87,0xF505,0x7F75,0xF43C,0x7F62,
+0xF374,0x7F4E,0xF2AC,0x7F38,0xF1E4,0x7F22,0xF11C,0x7F0A,0xF055,0x7EF0,0xEF8D,
+0x7ED6,0xEEC6,0x7EBA,0xEDFF,0x7E9D,0xED38,0x7E7F,0xEC71,0x7E60,0xEBAB,0x7E3F,
+0xEAE4,0x7E1E,0xEA1E,0x7DFB,0xE958,0x7DD6,0xE892,0x7DB1,0xE7CD,0x7D8A,0xE707,
+0x7D63,0xE642,0x7D3A,0xE57D,0x7D0F,0xE4B9,0x7CE4,0xE3F4,0x7CB7,0xE330,0x7C89,
+0xE26D,0x7C5A,0xE1A9,0x7C2A,0xE0E6,0x7BF9,0xE023,0x7BC6,0xDF61,0x7B92,0xDE9E,
+0x7B5D,0xDDDC,0x7B27,0xDD1B,0x7AEF,0xDC59,0x7AB7,0xDB99,0x7A7D,0xDAD8,0x7A42,
+0xDA18,0x7A06,0xD958,0x79C9,0xD898,0x798A,0xD7D9,0x794A,0xD71B,0x790A,0xD65C,
+0x78C8,0xD59E,0x7885,0xD4E1,0x7840,0xD424,0x77FB,0xD367,0x77B4,0xD2AB,0x776C,
+0xD1EF,0x7723,0xD134,0x76D9,0xD079,0x768E,0xCFBE,0x7642,0xCF04,0x75F4,0xCE4B,
+0x75A6,0xCD92,0x7556,0xCCD9,0x7505,0xCC21,0x74B3,0xCB69,0x7460,0xCAB2,0x740B,
+0xC9FC,0x73B6,0xC946,0x735F,0xC890,0x7308,0xC7DB,0x72AF,0xC727,0x7255,0xC673,
+0x71FA,0xC5C0,0x719E,0xC50D,0x7141,0xC45B,0x70E3,0xC3A9,0x7083,0xC2F8,0x7023,
+0xC248,0x6FC2,0xC198,0x6F5F,0xC0E9,0x6EFB,0xC03A,0x6E97,0xBF8C,0x6E31,0xBEDF,
+0x6DCA,0xBE32,0x6D62,0xBD86,0x6CF9,0xBCDA,0x6C8F,0xBC2F,0x6C24,0xBB85,0x6BB8,
+0xBADC,0x6B4B,0xBA33,0x6ADD,0xB98B,0x6A6E,0xB8E3,0x69FD,0xB83C,0x698C,0xB796,
+0x691A,0xB6F1,0x68A7,0xB64C,0x6832,0xB5A8,0x67BD,0xB505,0x6747,0xB462,0x66D0,
+0xB3C0,0x6657,0xB31F,0x65DE,0xB27F,0x6564,0xB1DF,0x64E9,0xB140,0x646C,0xB0A2,
+0x63EF,0xB005,0x6371,0xAF68,0x62F2,0xAECC,0x6272,0xAE31,0x61F1,0xAD97,0x616F,
+0xACFD,0x60EC,0xAC65,0x6068,0xABCD,0x5FE4,0xAB36,0x5F5E,0xAAA0,0x5ED7,0xAA0A,
+0x5E50,0xA976,0x5DC8,0xA8E2,0x5D3E,0xA84F,0x5CB4,0xA7BD,0x5C29,0xA72C,0x5B9D,
+0xA69C,0x5B10,0xA60C,0x5A82,0xA57E,0x59F4,0xA4F0,0x5964,0xA463,0x58D4,0xA3D7,
+0x5843,0xA34C,0x57B1,0xA2C2,0x571E,0xA238,0x568A,0xA1B0,0x55F6,0xA129,0x5560,
+0xA0A2,0x54CA,0xA01C,0x5433,0x9F98,0x539B,0x9F14,0x5303,0x9E91,0x5269,0x9E0F,
+0x51CF,0x9D8E,0x5134,0x9D0E,0x5098,0x9C8F,0x4FFB,0x9C11,0x4F5E,0x9B94,0x4EC0,
+0x9B17,0x4E21,0x9A9C,0x4D81,0x9A22,0x4CE1,0x99A9,0x4C40,0x9930,0x4B9E,0x98B9,
+0x4AFB,0x9843,0x4A58,0x97CE,0x49B4,0x9759,0x490F,0x96E6,0x486A,0x9674,0x47C4,
+0x9603,0x471D,0x9592,0x4675,0x9523,0x45CD,0x94B5,0x4524,0x9448,0x447B,0x93DC,
+0x43D1,0x9371,0x4326,0x9307,0x427A,0x929E,0x41CE,0x9236,0x4121,0x91CF,0x4074,
+0x9169,0x3FC6,0x9105,0x3F17,0x90A1,0x3E68,0x903E,0x3DB8,0x8FDD,0x3D08,0x8F7D,
+0x3C57,0x8F1D,0x3BA5,0x8EBF,0x3AF3,0x8E62,0x3A40,0x8E06,0x398D,0x8DAB,0x38D9,
+0x8D51,0x3825,0x8CF8,0x3770,0x8CA1,0x36BA,0x8C4A,0x3604,0x8BF5,0x354E,0x8BA0,
+0x3497,0x8B4D,0x33DF,0x8AFB,0x3327,0x8AAA,0x326E,0x8A5A,0x31B5,0x8A0C,0x30FC,
+0x89BE,0x3042,0x8972,0x2F87,0x8927,0x2ECC,0x88DD,0x2E11,0x8894,0x2D55,0x884C,
+0x2C99,0x8805,0x2BDC,0x87C0,0x2B1F,0x877B,0x2A62,0x8738,0x29A4,0x86F6,0x28E5,
+0x86B6,0x2827,0x8676,0x2768,0x8637,0x26A8,0x85FA,0x25E8,0x85BE,0x2528,0x8583,
+0x2467,0x8549,0x23A7,0x8511,0x22E5,0x84D9,0x2224,0x84A3,0x2162,0x846E,0x209F,
+0x843A,0x1FDD,0x8407,0x1F1A,0x83D6,0x1E57,0x83A6,0x1D93,0x8377,0x1CD0,0x8349,
+0x1C0C,0x831C,0x1B47,0x82F1,0x1A83,0x82C6,0x19BE,0x829D,0x18F9,0x8276,0x1833,
+0x824F,0x176E,0x822A,0x16A8,0x8205,0x15E2,0x81E2,0x151C,0x81C1,0x1455,0x81A0,
+0x138F,0x8181,0x12C8,0x8163,0x1201,0x8146,0x113A,0x812A,0x1073,0x8110,0x0FAB,
+0x80F6,0x0EE4,0x80DE,0x0E1C,0x80C8,0x0D54,0x80B2,0x0C8C,0x809E,0x0BC4,0x808B,
+0x0AFB,0x8079,0x0A33,0x8068,0x096B,0x8059,0x08A2,0x804B,0x07D9,0x803E,0x0711,
+0x8032,0x0648,0x8027,0x057F,0x801E,0x04B6,0x8016,0x03ED,0x800F,0x0324,0x800A,
+0x025B,0x8006,0x0192,0x8002,0x00C9,0x8001,0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9,
+0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A,0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E,
+0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6,0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A,
+0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642,0xCF04,0x7505,0xCC21,0x73B6,0xC946,
+0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9,0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E,
+0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9,0xB140,0x62F2,0xAECC,0x60EC,0xAC65,
+0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E,0x5843,0xA34C,0x55F6,0xA129,0x539B,
+0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40,0x9930,0x49B4,0x9759,0x471D,0x9592,
+0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1,0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA,
+0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11,0x8894,0x2B1F,0x877B,0x2827,0x8676,
+0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6,0x1C0C,0x831C,0x18F9,0x8276,0x15E2,
+0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C,0x809E,0x096B,0x8059,0x0648,0x8027,
+0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,
+0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,
+0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C,
+0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,};
+
+q15_t rearranged_twiddle_stride2_1024_q15[680]={
+0x7FFF,0x0000,0x7FFE,0xFE6E,0x7FF6,0xFCDC,0x7FEA,0xFB4A,0x7FD9,0xF9B8,0x7FC2,
+0xF827,0x7FA7,0xF695,0x7F87,0xF505,0x7F62,0xF374,0x7F38,0xF1E4,0x7F0A,0xF055,
+0x7ED6,0xEEC6,0x7E9D,0xED38,0x7E60,0xEBAB,0x7E1E,0xEA1E,0x7DD6,0xE892,0x7D8A,
+0xE707,0x7D3A,0xE57D,0x7CE4,0xE3F4,0x7C89,0xE26D,0x7C2A,0xE0E6,0x7BC6,0xDF61,
+0x7B5D,0xDDDC,0x7AEF,0xDC59,0x7A7D,0xDAD8,0x7A06,0xD958,0x798A,0xD7D9,0x790A,
+0xD65C,0x7885,0xD4E1,0x77FB,0xD367,0x776C,0xD1EF,0x76D9,0xD079,0x7642,0xCF04,
+0x75A6,0xCD92,0x7505,0xCC21,0x7460,0xCAB2,0x73B6,0xC946,0x7308,0xC7DB,0x7255,
+0xC673,0x719E,0xC50D,0x70E3,0xC3A9,0x7023,0xC248,0x6F5F,0xC0E9,0x6E97,0xBF8C,
+0x6DCA,0xBE32,0x6CF9,0xBCDA,0x6C24,0xBB85,0x6B4B,0xBA33,0x6A6E,0xB8E3,0x698C,
+0xB796,0x68A7,0xB64C,0x67BD,0xB505,0x66D0,0xB3C0,0x65DE,0xB27F,0x64E9,0xB140,
+0x63EF,0xB005,0x62F2,0xAECC,0x61F1,0xAD97,0x60EC,0xAC65,0x5FE4,0xAB36,0x5ED7,
+0xAA0A,0x5DC8,0xA8E2,0x5CB4,0xA7BD,0x5B9D,0xA69C,0x5A82,0xA57E,0x5964,0xA463,
+0x5843,0xA34C,0x571E,0xA238,0x55F6,0xA129,0x54CA,0xA01C,0x539B,0x9F14,0x5269,
+0x9E0F,0x5134,0x9D0E,0x4FFB,0x9C11,0x4EC0,0x9B17,0x4D81,0x9A22,0x4C40,0x9930,
+0x4AFB,0x9843,0x49B4,0x9759,0x486A,0x9674,0x471D,0x9592,0x45CD,0x94B5,0x447B,
+0x93DC,0x4326,0x9307,0x41CE,0x9236,0x4074,0x9169,0x3F17,0x90A1,0x3DB8,0x8FDD,
+0x3C57,0x8F1D,0x3AF3,0x8E62,0x398D,0x8DAB,0x3825,0x8CF8,0x36BA,0x8C4A,0x354E,
+0x8BA0,0x33DF,0x8AFB,0x326E,0x8A5A,0x30FC,0x89BE,0x2F87,0x8927,0x2E11,0x8894,
+0x2C99,0x8805,0x2B1F,0x877B,0x29A4,0x86F6,0x2827,0x8676,0x26A8,0x85FA,0x2528,
+0x8583,0x23A7,0x8511,0x2224,0x84A3,0x209F,0x843A,0x1F1A,0x83D6,0x1D93,0x8377,
+0x1C0C,0x831C,0x1A83,0x82C6,0x18F9,0x8276,0x176E,0x822A,0x15E2,0x81E2,0x1455,
+0x81A0,0x12C8,0x8163,0x113A,0x812A,0x0FAB,0x80F6,0x0E1C,0x80C8,0x0C8C,0x809E,
+0x0AFB,0x8079,0x096B,0x8059,0x07D9,0x803E,0x0648,0x8027,0x04B6,0x8016,0x0324,
+0x800A,0x0192,0x8002,0x0000,0x8000,0xFE6E,0x8002,0xFCDC,0x800A,0xFB4A,0x8016,
+0xF9B8,0x8027,0xF827,0x803E,0xF695,0x8059,0xF505,0x8079,0xF374,0x809E,0xF1E4,
+0x80C8,0xF055,0x80F6,0xEEC6,0x812A,0xED38,0x8163,0xEBAB,0x81A0,0xEA1E,0x81E2,
+0xE892,0x822A,0xE707,0x8276,0xE57D,0x82C6,0xE3F4,0x831C,0xE26D,0x8377,0xE0E6,
+0x83D6,0xDF61,0x843A,0xDDDC,0x84A3,0xDC59,0x8511,0xDAD8,0x8583,0xD958,0x85FA,
+0xD7D9,0x8676,0xD65C,0x86F6,0xD4E1,0x877B,0xD367,0x8805,0xD1EF,0x8894,0xD079,
+0x8927,0xCF04,0x89BE,0xCD92,0x8A5A,0xCC21,0x8AFB,0xCAB2,0x8BA0,0xC946,0x8C4A,
+0xC7DB,0x8CF8,0xC673,0x8DAB,0xC50D,0x8E62,0xC3A9,0x8F1D,0xC248,0x8FDD,0xC0E9,
+0x90A1,0xBF8C,0x9169,0xBE32,0x9236,0xBCDA,0x9307,0xBB85,0x93DC,0xBA33,0x94B5,
+0xB8E3,0x9592,0xB796,0x9674,0xB64C,0x9759,0xB505,0x9843,0xB3C0,0x9930,0xB27F,
+0x9A22,0xB140,0x9B17,0xB005,0x9C11,0xAECC,0x9D0E,0xAD97,0x9E0F,0xAC65,0x9F14,
+0xAB36,0xA01C,0xAA0A,0xA129,0xA8E2,0xA238,0xA7BD,0xA34C,0xA69C,0xA463,0xA57E,
+0xA57E,0xA463,0xA69C,0xA34C,0xA7BD,0xA238,0xA8E2,0xA129,0xAA0A,0xA01C,0xAB36,
+0x9F14,0xAC65,0x9E0F,0xAD97,0x9D0E,0xAECC,0x9C11,0xB005,0x9B17,0xB140,0x9A22,
+0xB27F,0x9930,0xB3C0,0x9843,0xB505,0x9759,0xB64C,0x9674,0xB796,0x9592,0xB8E3,
+0x94B5,0xBA33,0x93DC,0xBB85,0x9307,0xBCDA,0x9236,0xBE32,0x9169,0xBF8C,0x90A1,
+0xC0E9,0x8FDD,0xC248,0x8F1D,0xC3A9,0x8E62,0xC50D,0x8DAB,0xC673,0x8CF8,0xC7DB,
+0x8C4A,0xC946,0x8BA0,0xCAB2,0x8AFB,0xCC21,0x8A5A,0xCD92,0x89BE,0xCF04,0x8927,
+0xD079,0x8894,0xD1EF,0x8805,0xD367,0x877B,0xD4E1,0x86F6,0xD65C,0x8676,0xD7D9,
+0x85FA,0xD958,0x8583,0xDAD8,0x8511,0xDC59,0x84A3,0xDDDC,0x843A,0xDF61,0x83D6,
+0xE0E6,0x8377,0xE26D,0x831C,0xE3F4,0x82C6,0xE57D,0x8276,0xE707,0x822A,0xE892,
+0x81E2,0xEA1E,0x81A0,0xEBAB,0x8163,0xED38,0x812A,0xEEC6,0x80F6,0xF055,0x80C8,
+0xF1E4,0x809E,0xF374,0x8079,0xF505,0x8059,0xF695,0x803E,0xF827,0x8027,0xF9B8,
+0x8016,0xFB4A,0x800A,0xFCDC,0x8002,0xFE6E,0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62,
+0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A,0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1,
+0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9,0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0,
+0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82,0xA57E,0x55F6,0xA129,0x5134,0x9D0E,
+0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236,0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC,
+0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A,0x83D6,0x18F9,0x8276,0x12C8,0x8163,
+0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000,0xF9B8,0x8027,0xF374,0x809E,0xED38,
+0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,0x8583,0xD4E1,0x877B,0xCF04,0x89BE,
+0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,0xB8E3,0x9592,0xB3C0,0x9930,0xAECC,
+0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0,
+0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,0x8C4A,0xC946,0x89BE,0xCF04,0x877B,
+0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38,0x809E,0xF374,
+0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,
+0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276,
+0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276,
+0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,};
+
+q15_t rearranged_twiddle_stride3_1024_q15[680]={
+0x7FFF,0x0000,0x7FFA,0xFDA5,0x7FEA,0xFB4A,0x7FCE,0xF8EF,0x7FA7,0xF695,0x7F75,
+0xF43C,0x7F38,0xF1E4,0x7EF0,0xEF8D,0x7E9D,0xED38,0x7E3F,0xEAE4,0x7DD6,0xE892,
+0x7D63,0xE642,0x7CE4,0xE3F4,0x7C5A,0xE1A9,0x7BC6,0xDF61,0x7B27,0xDD1B,0x7A7D,
+0xDAD8,0x79C9,0xD898,0x790A,0xD65C,0x7840,0xD424,0x776C,0xD1EF,0x768E,0xCFBE,
+0x75A6,0xCD92,0x74B3,0xCB69,0x73B6,0xC946,0x72AF,0xC727,0x719E,0xC50D,0x7083,
+0xC2F8,0x6F5F,0xC0E9,0x6E31,0xBEDF,0x6CF9,0xBCDA,0x6BB8,0xBADC,0x6A6E,0xB8E3,
+0x691A,0xB6F1,0x67BD,0xB505,0x6657,0xB31F,0x64E9,0xB140,0x6371,0xAF68,0x61F1,
+0xAD97,0x6068,0xABCD,0x5ED7,0xAA0A,0x5D3E,0xA84F,0x5B9D,0xA69C,0x59F4,0xA4F0,
+0x5843,0xA34C,0x568A,0xA1B0,0x54CA,0xA01C,0x5303,0x9E91,0x5134,0x9D0E,0x4F5E,
+0x9B94,0x4D81,0x9A22,0x4B9E,0x98B9,0x49B4,0x9759,0x47C4,0x9603,0x45CD,0x94B5,
+0x43D1,0x9371,0x41CE,0x9236,0x3FC6,0x9105,0x3DB8,0x8FDD,0x3BA5,0x8EBF,0x398D,
+0x8DAB,0x3770,0x8CA1,0x354E,0x8BA0,0x3327,0x8AAA,0x30FC,0x89BE,0x2ECC,0x88DD,
+0x2C99,0x8805,0x2A62,0x8738,0x2827,0x8676,0x25E8,0x85BE,0x23A7,0x8511,0x2162,
+0x846E,0x1F1A,0x83D6,0x1CD0,0x8349,0x1A83,0x82C6,0x1833,0x824F,0x15E2,0x81E2,
+0x138F,0x8181,0x113A,0x812A,0x0EE4,0x80DE,0x0C8C,0x809E,0x0A33,0x8068,0x07D9,
+0x803E,0x057F,0x801E,0x0324,0x800A,0x00C9,0x8001,0xFE6E,0x8002,0xFC13,0x800F,
+0xF9B8,0x8027,0xF75E,0x804B,0xF505,0x8079,0xF2AC,0x80B2,0xF055,0x80F6,0xEDFF,
+0x8146,0xEBAB,0x81A0,0xE958,0x8205,0xE707,0x8276,0xE4B9,0x82F1,0xE26D,0x8377,
+0xE023,0x8407,0xDDDC,0x84A3,0xDB99,0x8549,0xD958,0x85FA,0xD71B,0x86B6,0xD4E1,
+0x877B,0xD2AB,0x884C,0xD079,0x8927,0xCE4B,0x8A0C,0xCC21,0x8AFB,0xC9FC,0x8BF5,
+0xC7DB,0x8CF8,0xC5C0,0x8E06,0xC3A9,0x8F1D,0xC198,0x903E,0xBF8C,0x9169,0xBD86,
+0x929E,0xBB85,0x93DC,0xB98B,0x9523,0xB796,0x9674,0xB5A8,0x97CE,0xB3C0,0x9930,
+0xB1DF,0x9A9C,0xB005,0x9C11,0xAE31,0x9D8E,0xAC65,0x9F14,0xAAA0,0xA0A2,0xA8E2,
+0xA238,0xA72C,0xA3D7,0xA57E,0xA57E,0xA3D7,0xA72C,0xA238,0xA8E2,0xA0A2,0xAAA0,
+0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930,0xB3C0,0x97CE,
+0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86,0x9169,0xBF8C,
+0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5,0xC9FC,0x8AFB,
+0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1,0x86B6,0xD71B,
+0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377,0xE26D,0x82F1,
+0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF,0x80F6,0xF055,
+0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F,0xFC13,0x8002,
+0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9,0x8068,0x0A33,
+0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2,0x15E2,0x824F,
+0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162,0x8511,0x23A7,
+0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD,0x2ECC,0x89BE,
+0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D,0x8EBF,0x3BA5,
+0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5,0x45CD,0x9603,
+0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E,0x9D0E,0x5134,
+0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0,0x59F4,0xA69C,
+0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1,0xAF68,0x6371,
+0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3,0x6A6E,0xBADC,
+0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083,0xC50D,0x719E,
+0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE,0x768E,0xD1EF,
+0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D,0xDD1B,0x7B27,
+0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892,0x7DD6,0xEAE4,
+0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75,0xF695,0x7FA7,
+0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D,
+0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9,
+0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134,0x9D0E,0x49B4,
+0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676,0x1F1A,0x83D6,
+0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055,0x80F6,0xE707,
+0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC,
+0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930,0xB3C0,0x93DC,
+0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC,0x8276,0xE707,
+0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2,0x15E2,0x83D6,
+0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE,0x9759,0x49B4,
+0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9,
+0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D,
+0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,
+0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,
+0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,
+0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192)
+
+uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]={
+0,2048,2560,2688,2720,0,};
+
+uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]={
+0,2048,2560,2688,2720,0,};
+
+uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]={
+0,2048,2560,2688,2720,0,};
+
+q15_t rearranged_twiddle_stride1_4096_q15[2728]={
+0x7FFF,0x0000,0x7FFF,0xFFCE,0x7FFF,0xFF9B,0x7FFF,0xFF69,0x7FFF,0xFF37,0x7FFF,
+0xFF05,0x7FFF,0xFED2,0x7FFE,0xFEA0,0x7FFE,0xFE6E,0x7FFD,0xFE3C,0x7FFC,0xFE09,
+0x7FFB,0xFDD7,0x7FFA,0xFDA5,0x7FF9,0xFD73,0x7FF8,0xFD40,0x7FF7,0xFD0E,0x7FF6,
+0xFCDC,0x7FF5,0xFCAA,0x7FF4,0xFC77,0x7FF2,0xFC45,0x7FF1,0xFC13,0x7FEF,0xFBE1,
+0x7FED,0xFBAE,0x7FEC,0xFB7C,0x7FEA,0xFB4A,0x7FE8,0xFB18,0x7FE6,0xFAE5,0x7FE4,
+0xFAB3,0x7FE2,0xFA81,0x7FE0,0xFA4F,0x7FDD,0xFA1D,0x7FDB,0xF9EA,0x7FD9,0xF9B8,
+0x7FD6,0xF986,0x7FD3,0xF954,0x7FD1,0xF922,0x7FCE,0xF8EF,0x7FCB,0xF8BD,0x7FC8,
+0xF88B,0x7FC5,0xF859,0x7FC2,0xF827,0x7FBF,0xF7F4,0x7FBC,0xF7C2,0x7FB9,0xF790,
+0x7FB5,0xF75E,0x7FB2,0xF72C,0x7FAE,0xF6FA,0x7FAB,0xF6C8,0x7FA7,0xF695,0x7FA3,
+0xF663,0x7FA0,0xF631,0x7F9C,0xF5FF,0x7F98,0xF5CD,0x7F94,0xF59B,0x7F90,0xF569,
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+0x8AE7,0x3383,0x8AD3,0x3355,0x8ABE,0x3327,0x8AAA,0x32F9,0x8A96,0x32CB,0x8A82,
+0x329D,0x8A6E,0x326E,0x8A5A,0x3240,0x8A47,0x3212,0x8A33,0x31E4,0x8A1F,0x31B5,
+0x8A0C,0x3187,0x89F8,0x3159,0x89E5,0x312A,0x89D2,0x30FC,0x89BE,0x30CD,0x89AB,
+0x309F,0x8998,0x3070,0x8985,0x3042,0x8972,0x3013,0x895F,0x2FE5,0x894C,0x2FB6,
+0x8939,0x2F87,0x8927,0x2F59,0x8914,0x2F2A,0x8902,0x2EFB,0x88EF,0x2ECC,0x88DD,
+0x2E9E,0x88CA,0x2E6F,0x88B8,0x2E40,0x88A6,0x2E11,0x8894,0x2DE2,0x8882,0x2DB3,
+0x8870,0x2D84,0x885E,0x2D55,0x884C,0x2D26,0x883A,0x2CF7,0x8828,0x2CC8,0x8817,
+0x2C99,0x8805,0x2C6A,0x87F4,0x2C3B,0x87E2,0x2C0C,0x87D1,0x2BDC,0x87C0,0x2BAD,
+0x87AF,0x2B7E,0x879D,0x2B4F,0x878C,0x2B1F,0x877B,0x2AF0,0x876B,0x2AC1,0x875A,
+0x2A91,0x8749,0x2A62,0x8738,0x2A32,0x8728,0x2A03,0x8717,0x29D3,0x8707,0x29A4,
+0x86F6,0x2974,0x86E6,0x2945,0x86D6,0x2915,0x86C6,0x28E5,0x86B6,0x28B6,0x86A5,
+0x2886,0x8696,0x2856,0x8686,0x2827,0x8676,0x27F7,0x8666,0x27C7,0x8656,0x2797,
+0x8647,0x2768,0x8637,0x2738,0x8628,0x2708,0x8619,0x26D8,0x8609,0x26A8,0x85FA,
+0x2678,0x85EB,0x2648,0x85DC,0x2618,0x85CD,0x25E8,0x85BE,0x25B8,0x85AF,0x2588,
+0x85A0,0x2558,0x8592,0x2528,0x8583,0x24F8,0x8574,0x24C8,0x8566,0x2498,0x8558,
+0x2467,0x8549,0x2437,0x853B,0x2407,0x852D,0x23D7,0x851F,0x23A7,0x8511,0x2376,
+0x8503,0x2346,0x84F5,0x2316,0x84E7,0x22E5,0x84D9,0x22B5,0x84CC,0x2284,0x84BE,
+0x2254,0x84B0,0x2224,0x84A3,0x21F3,0x8496,0x21C3,0x8488,0x2192,0x847B,0x2162,
+0x846E,0x2131,0x8461,0x2101,0x8454,0x20D0,0x8447,0x209F,0x843A,0x206F,0x842D,
+0x203E,0x8421,0x200E,0x8414,0x1FDD,0x8407,0x1FAC,0x83FB,0x1F7B,0x83EF,0x1F4B,
+0x83E2,0x1F1A,0x83D6,0x1EE9,0x83CA,0x1EB8,0x83BE,0x1E88,0x83B2,0x1E57,0x83A6,
+0x1E26,0x839A,0x1DF5,0x838E,0x1DC4,0x8382,0x1D93,0x8377,0x1D62,0x836B,0x1D31,
+0x8360,0x1D01,0x8354,0x1CD0,0x8349,0x1C9F,0x833E,0x1C6E,0x8332,0x1C3D,0x8327,
+0x1C0C,0x831C,0x1BDA,0x8311,0x1BA9,0x8306,0x1B78,0x82FB,0x1B47,0x82F1,0x1B16,
+0x82E6,0x1AE5,0x82DB,0x1AB4,0x82D1,0x1A83,0x82C6,0x1A51,0x82BC,0x1A20,0x82B2,
+0x19EF,0x82A8,0x19BE,0x829D,0x198D,0x8293,0x195B,0x8289,0x192A,0x827F,0x18F9,
+0x8276,0x18C7,0x826C,0x1896,0x8262,0x1865,0x8259,0x1833,0x824F,0x1802,0x8246,
+0x17D1,0x823C,0x179F,0x8233,0x176E,0x822A,0x173C,0x8220,0x170B,0x8217,0x16DA,
+0x820E,0x16A8,0x8205,0x1677,0x81FD,0x1645,0x81F4,0x1614,0x81EB,0x15E2,0x81E2,
+0x15B1,0x81DA,0x157F,0x81D1,0x154D,0x81C9,0x151C,0x81C1,0x14EA,0x81B8,0x14B9,
+0x81B0,0x1487,0x81A8,0x1455,0x81A0,0x1424,0x8198,0x13F2,0x8190,0x13C1,0x8188,
+0x138F,0x8181,0x135D,0x8179,0x132B,0x8172,0x12FA,0x816A,0x12C8,0x8163,0x1296,
+0x815B,0x1265,0x8154,0x1233,0x814D,0x1201,0x8146,0x11CF,0x813F,0x119E,0x8138,
+0x116C,0x8131,0x113A,0x812A,0x1108,0x8123,0x10D6,0x811D,0x10A4,0x8116,0x1073,
+0x8110,0x1041,0x8109,0x100F,0x8103,0x0FDD,0x80FD,0x0FAB,0x80F6,0x0F79,0x80F0,
+0x0F47,0x80EA,0x0F15,0x80E4,0x0EE4,0x80DE,0x0EB2,0x80D9,0x0E80,0x80D3,0x0E4E,
+0x80CD,0x0E1C,0x80C8,0x0DEA,0x80C2,0x0DB8,0x80BD,0x0D86,0x80B7,0x0D54,0x80B2,
+0x0D22,0x80AD,0x0CF0,0x80A8,0x0CBE,0x80A3,0x0C8C,0x809E,0x0C5A,0x8099,0x0C28,
+0x8094,0x0BF6,0x808F,0x0BC4,0x808B,0x0B92,0x8086,0x0B60,0x8082,0x0B2D,0x807D,
+0x0AFB,0x8079,0x0AC9,0x8075,0x0A97,0x8070,0x0A65,0x806C,0x0A33,0x8068,0x0A01,
+0x8064,0x09CF,0x8060,0x099D,0x805D,0x096B,0x8059,0x0938,0x8055,0x0906,0x8052,
+0x08D4,0x804E,0x08A2,0x804B,0x0870,0x8047,0x083E,0x8044,0x080C,0x8041,0x07D9,
+0x803E,0x07A7,0x803B,0x0775,0x8038,0x0743,0x8035,0x0711,0x8032,0x06DE,0x802F,
+0x06AC,0x802D,0x067A,0x802A,0x0648,0x8027,0x0616,0x8025,0x05E3,0x8023,0x05B1,
+0x8020,0x057F,0x801E,0x054D,0x801C,0x051B,0x801A,0x04E8,0x8018,0x04B6,0x8016,
+0x0484,0x8014,0x0452,0x8013,0x041F,0x8011,0x03ED,0x800F,0x03BB,0x800E,0x0389,
+0x800C,0x0356,0x800B,0x0324,0x800A,0x02F2,0x8009,0x02C0,0x8008,0x028D,0x8007,
+0x025B,0x8006,0x0229,0x8005,0x01F7,0x8004,0x01C4,0x8003,0x0192,0x8002,0x0160,
+0x8002,0x012E,0x8001,0x00FB,0x8001,0x00C9,0x8001,0x0097,0x8000,0x0065,0x8000,
+0x0032,0x8000,0x7FFF,0x0000,0x7FFF,0xFF37,0x7FFE,0xFE6E,0x7FFA,0xFDA5,0x7FF6,
+0xFCDC,0x7FF1,0xFC13,0x7FEA,0xFB4A,0x7FE2,0xFA81,0x7FD9,0xF9B8,0x7FCE,0xF8EF,
+0x7FC2,0xF827,0x7FB5,0xF75E,0x7FA7,0xF695,0x7F98,0xF5CD,0x7F87,0xF505,0x7F75,
+0xF43C,0x7F62,0xF374,0x7F4E,0xF2AC,0x7F38,0xF1E4,0x7F22,0xF11C,0x7F0A,0xF055,
+0x7EF0,0xEF8D,0x7ED6,0xEEC6,0x7EBA,0xEDFF,0x7E9D,0xED38,0x7E7F,0xEC71,0x7E60,
+0xEBAB,0x7E3F,0xEAE4,0x7E1E,0xEA1E,0x7DFB,0xE958,0x7DD6,0xE892,0x7DB1,0xE7CD,
+0x7D8A,0xE707,0x7D63,0xE642,0x7D3A,0xE57D,0x7D0F,0xE4B9,0x7CE4,0xE3F4,0x7CB7,
+0xE330,0x7C89,0xE26D,0x7C5A,0xE1A9,0x7C2A,0xE0E6,0x7BF9,0xE023,0x7BC6,0xDF61,
+0x7B92,0xDE9E,0x7B5D,0xDDDC,0x7B27,0xDD1B,0x7AEF,0xDC59,0x7AB7,0xDB99,0x7A7D,
+0xDAD8,0x7A42,0xDA18,0x7A06,0xD958,0x79C9,0xD898,0x798A,0xD7D9,0x794A,0xD71B,
+0x790A,0xD65C,0x78C8,0xD59E,0x7885,0xD4E1,0x7840,0xD424,0x77FB,0xD367,0x77B4,
+0xD2AB,0x776C,0xD1EF,0x7723,0xD134,0x76D9,0xD079,0x768E,0xCFBE,0x7642,0xCF04,
+0x75F4,0xCE4B,0x75A6,0xCD92,0x7556,0xCCD9,0x7505,0xCC21,0x74B3,0xCB69,0x7460,
+0xCAB2,0x740B,0xC9FC,0x73B6,0xC946,0x735F,0xC890,0x7308,0xC7DB,0x72AF,0xC727,
+0x7255,0xC673,0x71FA,0xC5C0,0x719E,0xC50D,0x7141,0xC45B,0x70E3,0xC3A9,0x7083,
+0xC2F8,0x7023,0xC248,0x6FC2,0xC198,0x6F5F,0xC0E9,0x6EFB,0xC03A,0x6E97,0xBF8C,
+0x6E31,0xBEDF,0x6DCA,0xBE32,0x6D62,0xBD86,0x6CF9,0xBCDA,0x6C8F,0xBC2F,0x6C24,
+0xBB85,0x6BB8,0xBADC,0x6B4B,0xBA33,0x6ADD,0xB98B,0x6A6E,0xB8E3,0x69FD,0xB83C,
+0x698C,0xB796,0x691A,0xB6F1,0x68A7,0xB64C,0x6832,0xB5A8,0x67BD,0xB505,0x6747,
+0xB462,0x66D0,0xB3C0,0x6657,0xB31F,0x65DE,0xB27F,0x6564,0xB1DF,0x64E9,0xB140,
+0x646C,0xB0A2,0x63EF,0xB005,0x6371,0xAF68,0x62F2,0xAECC,0x6272,0xAE31,0x61F1,
+0xAD97,0x616F,0xACFD,0x60EC,0xAC65,0x6068,0xABCD,0x5FE4,0xAB36,0x5F5E,0xAAA0,
+0x5ED7,0xAA0A,0x5E50,0xA976,0x5DC8,0xA8E2,0x5D3E,0xA84F,0x5CB4,0xA7BD,0x5C29,
+0xA72C,0x5B9D,0xA69C,0x5B10,0xA60C,0x5A82,0xA57E,0x59F4,0xA4F0,0x5964,0xA463,
+0x58D4,0xA3D7,0x5843,0xA34C,0x57B1,0xA2C2,0x571E,0xA238,0x568A,0xA1B0,0x55F6,
+0xA129,0x5560,0xA0A2,0x54CA,0xA01C,0x5433,0x9F98,0x539B,0x9F14,0x5303,0x9E91,
+0x5269,0x9E0F,0x51CF,0x9D8E,0x5134,0x9D0E,0x5098,0x9C8F,0x4FFB,0x9C11,0x4F5E,
+0x9B94,0x4EC0,0x9B17,0x4E21,0x9A9C,0x4D81,0x9A22,0x4CE1,0x99A9,0x4C40,0x9930,
+0x4B9E,0x98B9,0x4AFB,0x9843,0x4A58,0x97CE,0x49B4,0x9759,0x490F,0x96E6,0x486A,
+0x9674,0x47C4,0x9603,0x471D,0x9592,0x4675,0x9523,0x45CD,0x94B5,0x4524,0x9448,
+0x447B,0x93DC,0x43D1,0x9371,0x4326,0x9307,0x427A,0x929E,0x41CE,0x9236,0x4121,
+0x91CF,0x4074,0x9169,0x3FC6,0x9105,0x3F17,0x90A1,0x3E68,0x903E,0x3DB8,0x8FDD,
+0x3D08,0x8F7D,0x3C57,0x8F1D,0x3BA5,0x8EBF,0x3AF3,0x8E62,0x3A40,0x8E06,0x398D,
+0x8DAB,0x38D9,0x8D51,0x3825,0x8CF8,0x3770,0x8CA1,0x36BA,0x8C4A,0x3604,0x8BF5,
+0x354E,0x8BA0,0x3497,0x8B4D,0x33DF,0x8AFB,0x3327,0x8AAA,0x326E,0x8A5A,0x31B5,
+0x8A0C,0x30FC,0x89BE,0x3042,0x8972,0x2F87,0x8927,0x2ECC,0x88DD,0x2E11,0x8894,
+0x2D55,0x884C,0x2C99,0x8805,0x2BDC,0x87C0,0x2B1F,0x877B,0x2A62,0x8738,0x29A4,
+0x86F6,0x28E5,0x86B6,0x2827,0x8676,0x2768,0x8637,0x26A8,0x85FA,0x25E8,0x85BE,
+0x2528,0x8583,0x2467,0x8549,0x23A7,0x8511,0x22E5,0x84D9,0x2224,0x84A3,0x2162,
+0x846E,0x209F,0x843A,0x1FDD,0x8407,0x1F1A,0x83D6,0x1E57,0x83A6,0x1D93,0x8377,
+0x1CD0,0x8349,0x1C0C,0x831C,0x1B47,0x82F1,0x1A83,0x82C6,0x19BE,0x829D,0x18F9,
+0x8276,0x1833,0x824F,0x176E,0x822A,0x16A8,0x8205,0x15E2,0x81E2,0x151C,0x81C1,
+0x1455,0x81A0,0x138F,0x8181,0x12C8,0x8163,0x1201,0x8146,0x113A,0x812A,0x1073,
+0x8110,0x0FAB,0x80F6,0x0EE4,0x80DE,0x0E1C,0x80C8,0x0D54,0x80B2,0x0C8C,0x809E,
+0x0BC4,0x808B,0x0AFB,0x8079,0x0A33,0x8068,0x096B,0x8059,0x08A2,0x804B,0x07D9,
+0x803E,0x0711,0x8032,0x0648,0x8027,0x057F,0x801E,0x04B6,0x8016,0x03ED,0x800F,
+0x0324,0x800A,0x025B,0x8006,0x0192,0x8002,0x00C9,0x8001,0x7FFF,0x0000,0x7FF6,
+0xFCDC,0x7FD9,0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A,0xF055,0x7E9D,0xED38,
+0x7E1E,0xEA1E,0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6,0x7B5D,0xDDDC,0x7A7D,
+0xDAD8,0x798A,0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642,0xCF04,0x7505,0xCC21,
+0x73B6,0xC946,0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9,0x6DCA,0xBE32,0x6C24,
+0xBB85,0x6A6E,0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9,0xB140,0x62F2,0xAECC,
+0x60EC,0xAC65,0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E,0x5843,0xA34C,0x55F6,
+0xA129,0x539B,0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40,0x9930,0x49B4,0x9759,
+0x471D,0x9592,0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1,0x3C57,0x8F1D,0x398D,
+0x8DAB,0x36BA,0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11,0x8894,0x2B1F,0x877B,
+0x2827,0x8676,0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6,0x1C0C,0x831C,0x18F9,
+0x8276,0x15E2,0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C,0x809E,0x096B,0x8059,
+0x0648,0x8027,0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,
+0xDAD8,0x7642,0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,
+0x5134,0x9D0E,0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,
+0x8276,0x0C8C,0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,};
+
+q15_t rearranged_twiddle_stride2_4096_q15[2728]={
+0x7FFF,0x0000,0x7FFF,0xFF9B,0x7FFF,0xFF37,0x7FFF,0xFED2,0x7FFE,0xFE6E,0x7FFC,
+0xFE09,0x7FFA,0xFDA5,0x7FF8,0xFD40,0x7FF6,0xFCDC,0x7FF4,0xFC77,0x7FF1,0xFC13,
+0x7FED,0xFBAE,0x7FEA,0xFB4A,0x7FE6,0xFAE5,0x7FE2,0xFA81,0x7FDD,0xFA1D,0x7FD9,
+0xF9B8,0x7FD3,0xF954,0x7FCE,0xF8EF,0x7FC8,0xF88B,0x7FC2,0xF827,0x7FBC,0xF7C2,
+0x7FB5,0xF75E,0x7FAE,0xF6FA,0x7FA7,0xF695,0x7FA0,0xF631,0x7F98,0xF5CD,0x7F90,
+0xF569,0x7F87,0xF505,0x7F7E,0xF4A0,0x7F75,0xF43C,0x7F6C,0xF3D8,0x7F62,0xF374,
+0x7F58,0xF310,0x7F4E,0xF2AC,0x7F43,0xF248,0x7F38,0xF1E4,0x7F2D,0xF180,0x7F22,
+0xF11C,0x7F16,0xF0B9,0x7F0A,0xF055,0x7EFD,0xEFF1,0x7EF0,0xEF8D,0x7EE3,0xEF2A,
+0x7ED6,0xEEC6,0x7EC8,0xEE62,0x7EBA,0xEDFF,0x7EAC,0xED9B,0x7E9D,0xED38,0x7E8E,
+0xECD5,0x7E7F,0xEC71,0x7E70,0xEC0E,0x7E60,0xEBAB,0x7E50,0xEB47,0x7E3F,0xEAE4,
+0x7E2F,0xEA81,0x7E1E,0xEA1E,0x7E0C,0xE9BB,0x7DFB,0xE958,0x7DE9,0xE8F5,0x7DD6,
+0xE892,0x7DC4,0xE82F,0x7DB1,0xE7CD,0x7D9E,0xE76A,0x7D8A,0xE707,0x7D77,0xE6A5,
+0x7D63,0xE642,0x7D4E,0xE5E0,0x7D3A,0xE57D,0x7D25,0xE51B,0x7D0F,0xE4B9,0x7CFA,
+0xE457,0x7CE4,0xE3F4,0x7CCE,0xE392,0x7CB7,0xE330,0x7CA0,0xE2CF,0x7C89,0xE26D,
+0x7C72,0xE20B,0x7C5A,0xE1A9,0x7C42,0xE148,0x7C2A,0xE0E6,0x7C11,0xE085,0x7BF9,
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+0xA1F4,0xA92C,0xA1B0,0xA976,0xA16C,0xA9C0,0xA129,0xAA0A,0xA0E5,0xAA55,0xA0A2,
+0xAAA0,0xA05F,0xAAEB,0xA01C,0xAB36,0x9FDA,0xAB81,0x9F98,0xABCD,0x9F56,0xAC19,
+0x9F14,0xAC65,0x9ED2,0xACB1,0x9E91,0xACFD,0x9E50,0xAD4A,0x9E0F,0xAD97,0x9DCE,
+0xADE4,0x9D8E,0xAE31,0x9D4E,0xAE7F,0x9D0E,0xAECC,0x9CCE,0xAF1A,0x9C8F,0xAF68,
+0x9C50,0xAFB6,0x9C11,0xB005,0x9BD2,0xB053,0x9B94,0xB0A2,0x9B55,0xB0F1,0x9B17,
+0xB140,0x9ADA,0xB18F,0x9A9C,0xB1DF,0x9A5F,0xB22F,0x9A22,0xB27F,0x99E5,0xB2CF,
+0x99A9,0xB31F,0x996D,0xB36F,0x9930,0xB3C0,0x98F5,0xB411,0x98B9,0xB462,0x987E,
+0xB4B3,0x9843,0xB505,0x9808,0xB556,0x97CE,0xB5A8,0x9793,0xB5FA,0x9759,0xB64C,
+0x9720,0xB69E,0x96E6,0xB6F1,0x96AD,0xB743,0x9674,0xB796,0x963B,0xB7E9,0x9603,
+0xB83C,0x95CA,0xB890,0x9592,0xB8E3,0x955B,0xB937,0x9523,0xB98B,0x94EC,0xB9DF,
+0x94B5,0xBA33,0x947E,0xBA87,0x9448,0xBADC,0x9412,0xBB30,0x93DC,0xBB85,0x93A6,
+0xBBDA,0x9371,0xBC2F,0x933C,0xBC85,0x9307,0xBCDA,0x92D2,0xBD30,0x929E,0xBD86,
+0x926A,0xBDDC,0x9236,0xBE32,0x9202,0xBE88,0x91CF,0xBEDF,0x919C,0xBF35,0x9169,
+0xBF8C,0x9137,0xBFE3,0x9105,0xC03A,0x90D3,0xC091,0x90A1,0xC0E9,0x9070,0xC140,
+0x903E,0xC198,0x900E,0xC1F0,0x8FDD,0xC248,0x8FAD,0xC2A0,0x8F7D,0xC2F8,0x8F4D,
+0xC351,0x8F1D,0xC3A9,0x8EEE,0xC402,0x8EBF,0xC45B,0x8E90,0xC4B4,0x8E62,0xC50D,
+0x8E34,0xC566,0x8E06,0xC5C0,0x8DD8,0xC619,0x8DAB,0xC673,0x8D7E,0xC6CD,0x8D51,
+0xC727,0x8D24,0xC781,0x8CF8,0xC7DB,0x8CCC,0xC836,0x8CA1,0xC890,0x8C75,0xC8EB,
+0x8C4A,0xC946,0x8C1F,0xC9A1,0x8BF5,0xC9FC,0x8BCA,0xCA57,0x8BA0,0xCAB2,0x8B77,
+0xCB0E,0x8B4D,0xCB69,0x8B24,0xCBC5,0x8AFB,0xCC21,0x8AD3,0xCC7D,0x8AAA,0xCCD9,
+0x8A82,0xCD35,0x8A5A,0xCD92,0x8A33,0xCDEE,0x8A0C,0xCE4B,0x89E5,0xCEA7,0x89BE,
+0xCF04,0x8998,0xCF61,0x8972,0xCFBE,0x894C,0xD01B,0x8927,0xD079,0x8902,0xD0D6,
+0x88DD,0xD134,0x88B8,0xD191,0x8894,0xD1EF,0x8870,0xD24D,0x884C,0xD2AB,0x8828,
+0xD309,0x8805,0xD367,0x87E2,0xD3C5,0x87C0,0xD424,0x879D,0xD482,0x877B,0xD4E1,
+0x875A,0xD53F,0x8738,0xD59E,0x8717,0xD5FD,0x86F6,0xD65C,0x86D6,0xD6BB,0x86B6,
+0xD71B,0x8696,0xD77A,0x8676,0xD7D9,0x8656,0xD839,0x8637,0xD898,0x8619,0xD8F8,
+0x85FA,0xD958,0x85DC,0xD9B8,0x85BE,0xDA18,0x85A0,0xDA78,0x8583,0xDAD8,0x8566,
+0xDB38,0x8549,0xDB99,0x852D,0xDBF9,0x8511,0xDC59,0x84F5,0xDCBA,0x84D9,0xDD1B,
+0x84BE,0xDD7C,0x84A3,0xDDDC,0x8488,0xDE3D,0x846E,0xDE9E,0x8454,0xDEFF,0x843A,
+0xDF61,0x8421,0xDFC2,0x8407,0xE023,0x83EF,0xE085,0x83D6,0xE0E6,0x83BE,0xE148,
+0x83A6,0xE1A9,0x838E,0xE20B,0x8377,0xE26D,0x8360,0xE2CF,0x8349,0xE330,0x8332,
+0xE392,0x831C,0xE3F4,0x8306,0xE457,0x82F1,0xE4B9,0x82DB,0xE51B,0x82C6,0xE57D,
+0x82B2,0xE5E0,0x829D,0xE642,0x8289,0xE6A5,0x8276,0xE707,0x8262,0xE76A,0x824F,
+0xE7CD,0x823C,0xE82F,0x822A,0xE892,0x8217,0xE8F5,0x8205,0xE958,0x81F4,0xE9BB,
+0x81E2,0xEA1E,0x81D1,0xEA81,0x81C1,0xEAE4,0x81B0,0xEB47,0x81A0,0xEBAB,0x8190,
+0xEC0E,0x8181,0xEC71,0x8172,0xECD5,0x8163,0xED38,0x8154,0xED9B,0x8146,0xEDFF,
+0x8138,0xEE62,0x812A,0xEEC6,0x811D,0xEF2A,0x8110,0xEF8D,0x8103,0xEFF1,0x80F6,
+0xF055,0x80EA,0xF0B9,0x80DE,0xF11C,0x80D3,0xF180,0x80C8,0xF1E4,0x80BD,0xF248,
+0x80B2,0xF2AC,0x80A8,0xF310,0x809E,0xF374,0x8094,0xF3D8,0x808B,0xF43C,0x8082,
+0xF4A0,0x8079,0xF505,0x8070,0xF569,0x8068,0xF5CD,0x8060,0xF631,0x8059,0xF695,
+0x8052,0xF6FA,0x804B,0xF75E,0x8044,0xF7C2,0x803E,0xF827,0x8038,0xF88B,0x8032,
+0xF8EF,0x802D,0xF954,0x8027,0xF9B8,0x8023,0xFA1D,0x801E,0xFA81,0x801A,0xFAE5,
+0x8016,0xFB4A,0x8013,0xFBAE,0x800F,0xFC13,0x800C,0xFC77,0x800A,0xFCDC,0x8008,
+0xFD40,0x8006,0xFDA5,0x8004,0xFE09,0x8002,0xFE6E,0x8001,0xFED2,0x8001,0xFF37,
+0x8000,0xFF9B,0x7FFF,0x0000,0x7FFE,0xFE6E,0x7FF6,0xFCDC,0x7FEA,0xFB4A,0x7FD9,
+0xF9B8,0x7FC2,0xF827,0x7FA7,0xF695,0x7F87,0xF505,0x7F62,0xF374,0x7F38,0xF1E4,
+0x7F0A,0xF055,0x7ED6,0xEEC6,0x7E9D,0xED38,0x7E60,0xEBAB,0x7E1E,0xEA1E,0x7DD6,
+0xE892,0x7D8A,0xE707,0x7D3A,0xE57D,0x7CE4,0xE3F4,0x7C89,0xE26D,0x7C2A,0xE0E6,
+0x7BC6,0xDF61,0x7B5D,0xDDDC,0x7AEF,0xDC59,0x7A7D,0xDAD8,0x7A06,0xD958,0x798A,
+0xD7D9,0x790A,0xD65C,0x7885,0xD4E1,0x77FB,0xD367,0x776C,0xD1EF,0x76D9,0xD079,
+0x7642,0xCF04,0x75A6,0xCD92,0x7505,0xCC21,0x7460,0xCAB2,0x73B6,0xC946,0x7308,
+0xC7DB,0x7255,0xC673,0x719E,0xC50D,0x70E3,0xC3A9,0x7023,0xC248,0x6F5F,0xC0E9,
+0x6E97,0xBF8C,0x6DCA,0xBE32,0x6CF9,0xBCDA,0x6C24,0xBB85,0x6B4B,0xBA33,0x6A6E,
+0xB8E3,0x698C,0xB796,0x68A7,0xB64C,0x67BD,0xB505,0x66D0,0xB3C0,0x65DE,0xB27F,
+0x64E9,0xB140,0x63EF,0xB005,0x62F2,0xAECC,0x61F1,0xAD97,0x60EC,0xAC65,0x5FE4,
+0xAB36,0x5ED7,0xAA0A,0x5DC8,0xA8E2,0x5CB4,0xA7BD,0x5B9D,0xA69C,0x5A82,0xA57E,
+0x5964,0xA463,0x5843,0xA34C,0x571E,0xA238,0x55F6,0xA129,0x54CA,0xA01C,0x539B,
+0x9F14,0x5269,0x9E0F,0x5134,0x9D0E,0x4FFB,0x9C11,0x4EC0,0x9B17,0x4D81,0x9A22,
+0x4C40,0x9930,0x4AFB,0x9843,0x49B4,0x9759,0x486A,0x9674,0x471D,0x9592,0x45CD,
+0x94B5,0x447B,0x93DC,0x4326,0x9307,0x41CE,0x9236,0x4074,0x9169,0x3F17,0x90A1,
+0x3DB8,0x8FDD,0x3C57,0x8F1D,0x3AF3,0x8E62,0x398D,0x8DAB,0x3825,0x8CF8,0x36BA,
+0x8C4A,0x354E,0x8BA0,0x33DF,0x8AFB,0x326E,0x8A5A,0x30FC,0x89BE,0x2F87,0x8927,
+0x2E11,0x8894,0x2C99,0x8805,0x2B1F,0x877B,0x29A4,0x86F6,0x2827,0x8676,0x26A8,
+0x85FA,0x2528,0x8583,0x23A7,0x8511,0x2224,0x84A3,0x209F,0x843A,0x1F1A,0x83D6,
+0x1D93,0x8377,0x1C0C,0x831C,0x1A83,0x82C6,0x18F9,0x8276,0x176E,0x822A,0x15E2,
+0x81E2,0x1455,0x81A0,0x12C8,0x8163,0x113A,0x812A,0x0FAB,0x80F6,0x0E1C,0x80C8,
+0x0C8C,0x809E,0x0AFB,0x8079,0x096B,0x8059,0x07D9,0x803E,0x0648,0x8027,0x04B6,
+0x8016,0x0324,0x800A,0x0192,0x8002,0x0000,0x8000,0xFE6E,0x8002,0xFCDC,0x800A,
+0xFB4A,0x8016,0xF9B8,0x8027,0xF827,0x803E,0xF695,0x8059,0xF505,0x8079,0xF374,
+0x809E,0xF1E4,0x80C8,0xF055,0x80F6,0xEEC6,0x812A,0xED38,0x8163,0xEBAB,0x81A0,
+0xEA1E,0x81E2,0xE892,0x822A,0xE707,0x8276,0xE57D,0x82C6,0xE3F4,0x831C,0xE26D,
+0x8377,0xE0E6,0x83D6,0xDF61,0x843A,0xDDDC,0x84A3,0xDC59,0x8511,0xDAD8,0x8583,
+0xD958,0x85FA,0xD7D9,0x8676,0xD65C,0x86F6,0xD4E1,0x877B,0xD367,0x8805,0xD1EF,
+0x8894,0xD079,0x8927,0xCF04,0x89BE,0xCD92,0x8A5A,0xCC21,0x8AFB,0xCAB2,0x8BA0,
+0xC946,0x8C4A,0xC7DB,0x8CF8,0xC673,0x8DAB,0xC50D,0x8E62,0xC3A9,0x8F1D,0xC248,
+0x8FDD,0xC0E9,0x90A1,0xBF8C,0x9169,0xBE32,0x9236,0xBCDA,0x9307,0xBB85,0x93DC,
+0xBA33,0x94B5,0xB8E3,0x9592,0xB796,0x9674,0xB64C,0x9759,0xB505,0x9843,0xB3C0,
+0x9930,0xB27F,0x9A22,0xB140,0x9B17,0xB005,0x9C11,0xAECC,0x9D0E,0xAD97,0x9E0F,
+0xAC65,0x9F14,0xAB36,0xA01C,0xAA0A,0xA129,0xA8E2,0xA238,0xA7BD,0xA34C,0xA69C,
+0xA463,0xA57E,0xA57E,0xA463,0xA69C,0xA34C,0xA7BD,0xA238,0xA8E2,0xA129,0xAA0A,
+0xA01C,0xAB36,0x9F14,0xAC65,0x9E0F,0xAD97,0x9D0E,0xAECC,0x9C11,0xB005,0x9B17,
+0xB140,0x9A22,0xB27F,0x9930,0xB3C0,0x9843,0xB505,0x9759,0xB64C,0x9674,0xB796,
+0x9592,0xB8E3,0x94B5,0xBA33,0x93DC,0xBB85,0x9307,0xBCDA,0x9236,0xBE32,0x9169,
+0xBF8C,0x90A1,0xC0E9,0x8FDD,0xC248,0x8F1D,0xC3A9,0x8E62,0xC50D,0x8DAB,0xC673,
+0x8CF8,0xC7DB,0x8C4A,0xC946,0x8BA0,0xCAB2,0x8AFB,0xCC21,0x8A5A,0xCD92,0x89BE,
+0xCF04,0x8927,0xD079,0x8894,0xD1EF,0x8805,0xD367,0x877B,0xD4E1,0x86F6,0xD65C,
+0x8676,0xD7D9,0x85FA,0xD958,0x8583,0xDAD8,0x8511,0xDC59,0x84A3,0xDDDC,0x843A,
+0xDF61,0x83D6,0xE0E6,0x8377,0xE26D,0x831C,0xE3F4,0x82C6,0xE57D,0x8276,0xE707,
+0x822A,0xE892,0x81E2,0xEA1E,0x81A0,0xEBAB,0x8163,0xED38,0x812A,0xEEC6,0x80F6,
+0xF055,0x80C8,0xF1E4,0x809E,0xF374,0x8079,0xF505,0x8059,0xF695,0x803E,0xF827,
+0x8027,0xF9B8,0x8016,0xFB4A,0x800A,0xFCDC,0x8002,0xFE6E,0x7FFF,0x0000,0x7FD9,
+0xF9B8,0x7F62,0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A,0xE0E6,0x7A7D,0xDAD8,
+0x7885,0xD4E1,0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9,0x6DCA,0xBE32,0x6A6E,
+0xB8E3,0x66D0,0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82,0xA57E,0x55F6,0xA129,
+0x5134,0x9D0E,0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236,0x3C57,0x8F1D,0x36BA,
+0x8C4A,0x30FC,0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A,0x83D6,0x18F9,0x8276,
+0x12C8,0x8163,0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000,0xF9B8,0x8027,0xF374,
+0x809E,0xED38,0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,0x8583,0xD4E1,0x877B,
+0xCF04,0x89BE,0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,0xB8E3,0x9592,0xB3C0,
+0x9930,0xAECC,0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,0xAA0A,0x9D0E,0xAECC,
+0x9930,0xB3C0,0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,0x8C4A,0xC946,0x89BE,
+0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38,
+0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,
+0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,
+0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,
+0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,};
+
+q15_t rearranged_twiddle_stride3_4096_q15[2728]={
+0x7FFF,0x0000,0x7FFF,0xFF69,0x7FFF,0xFED2,0x7FFD,0xFE3C,0x7FFA,0xFDA5,0x7FF7,
+0xFD0E,0x7FF4,0xFC77,0x7FEF,0xFBE1,0x7FEA,0xFB4A,0x7FE4,0xFAB3,0x7FDD,0xFA1D,
+0x7FD6,0xF986,0x7FCE,0xF8EF,0x7FC5,0xF859,0x7FBC,0xF7C2,0x7FB2,0xF72C,0x7FA7,
+0xF695,0x7F9C,0xF5FF,0x7F90,0xF569,0x7F83,0xF4D3,0x7F75,0xF43C,0x7F67,0xF3A6,
+0x7F58,0xF310,0x7F49,0xF27A,0x7F38,0xF1E4,0x7F27,0xF14E,0x7F16,0xF0B9,0x7F03,
+0xF023,0x7EF0,0xEF8D,0x7EDD,0xEEF8,0x7EC8,0xEE62,0x7EB3,0xEDCD,0x7E9D,0xED38,
+0x7E87,0xECA3,0x7E70,0xEC0E,0x7E58,0xEB79,0x7E3F,0xEAE4,0x7E26,0xEA4F,0x7E0C,
+0xE9BB,0x7DF2,0xE926,0x7DD6,0xE892,0x7DBA,0xE7FE,0x7D9E,0xE76A,0x7D81,0xE6D6,
+0x7D63,0xE642,0x7D44,0xE5AF,0x7D25,0xE51B,0x7D05,0xE488,0x7CE4,0xE3F4,0x7CC2,
+0xE361,0x7CA0,0xE2CF,0x7C7E,0xE23C,0x7C5A,0xE1A9,0x7C36,0xE117,0x7C11,0xE085,
+0x7BEC,0xDFF2,0x7BC6,0xDF61,0x7B9F,0xDECF,0x7B78,0xDE3D,0x7B50,0xDDAC,0x7B27,
+0xDD1B,0x7AFD,0xDC8A,0x7AD3,0xDBF9,0x7AA8,0xDB68,0x7A7D,0xDAD8,0x7A51,0xDA48,
+0x7A24,0xD9B8,0x79F7,0xD928,0x79C9,0xD898,0x799A,0xD809,0x796A,0xD77A,0x793A,
+0xD6EB,0x790A,0xD65C,0x78D8,0xD5CE,0x78A6,0xD53F,0x7874,0xD4B1,0x7840,0xD424,
+0x780C,0xD396,0x77D8,0xD309,0x77A2,0xD27C,0x776C,0xD1EF,0x7736,0xD162,0x76FE,
+0xD0D6,0x76C7,0xD04A,0x768E,0xCFBE,0x7655,0xCF33,0x761B,0xCEA7,0x75E1,0xCE1C,
+0x75A6,0xCD92,0x756A,0xCD07,0x752D,0xCC7D,0x74F0,0xCBF3,0x74B3,0xCB69,0x7475,
+0xCAE0,0x7436,0xCA57,0x73F6,0xC9CE,0x73B6,0xC946,0x7375,0xC8BE,0x7334,0xC836,
+0x72F2,0xC7AE,0x72AF,0xC727,0x726C,0xC6A0,0x7228,0xC619,0x71E3,0xC593,0x719E,
+0xC50D,0x7158,0xC487,0x7112,0xC402,0x70CB,0xC37D,0x7083,0xC2F8,0x703B,0xC274,
+0x6FF2,0xC1F0,0x6FA9,0xC16C,0x6F5F,0xC0E9,0x6F14,0xC066,0x6EC9,0xBFE3,0x6E7D,
+0xBF61,0x6E31,0xBEDF,0x6DE4,0xBE5D,0x6D96,0xBDDC,0x6D48,0xBD5B,0x6CF9,0xBCDA,
+0x6CAA,0xBC5A,0x6C5A,0xBBDA,0x6C09,0xBB5B,0x6BB8,0xBADC,0x6B66,0xBA5D,0x6B14,
+0xB9DF,0x6AC1,0xB961,0x6A6E,0xB8E3,0x6A1A,0xB866,0x69C5,0xB7E9,0x6970,0xB76D,
+0x691A,0xB6F1,0x68C4,0xB675,0x686D,0xB5FA,0x6815,0xB57F,0x67BD,0xB505,0x6764,
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+0x9E91,0x5303,0x9EF3,0x5375,0x9F56,0x53E7,0x9FB9,0x5459,0xA01C,0x54CA,0xA080,
+0x553B,0xA0E5,0x55AB,0xA14A,0x561B,0xA1B0,0x568A,0xA216,0x56F9,0xA27D,0x5767,
+0xA2E4,0x57D5,0xA34C,0x5843,0xA3B4,0x58B0,0xA41D,0x591C,0xA486,0x5988,0xA4F0,
+0x59F4,0xA55A,0x5A5F,0xA5C5,0x5AC9,0xA630,0x5B34,0xA69C,0x5B9D,0xA708,0x5C06,
+0xA774,0x5C6F,0xA7E2,0x5CD7,0xA84F,0x5D3E,0xA8BD,0x5DA5,0xA92C,0x5E0C,0xA99B,
+0x5E72,0xAA0A,0x5ED7,0xAA7A,0x5F3C,0xAAEB,0x5FA1,0xAB5C,0x6005,0xABCD,0x6068,
+0xAC3F,0x60CB,0xACB1,0x612E,0xAD24,0x6190,0xAD97,0x61F1,0xAE0B,0x6252,0xAE7F,
+0x62B2,0xAEF3,0x6312,0xAF68,0x6371,0xAFDD,0x63D0,0xB053,0x642E,0xB0C9,0x648B,
+0xB140,0x64E9,0xB1B7,0x6545,0xB22F,0x65A1,0xB2A7,0x65FC,0xB31F,0x6657,0xB398,
+0x66B2,0xB411,0x670B,0xB48B,0x6764,0xB505,0x67BD,0xB57F,0x6815,0xB5FA,0x686D,
+0xB675,0x68C4,0xB6F1,0x691A,0xB76D,0x6970,0xB7E9,0x69C5,0xB866,0x6A1A,0xB8E3,
+0x6A6E,0xB961,0x6AC1,0xB9DF,0x6B14,0xBA5D,0x6B66,0xBADC,0x6BB8,0xBB5B,0x6C09,
+0xBBDA,0x6C5A,0xBC5A,0x6CAA,0xBCDA,0x6CF9,0xBD5B,0x6D48,0xBDDC,0x6D96,0xBE5D,
+0x6DE4,0xBEDF,0x6E31,0xBF61,0x6E7D,0xBFE3,0x6EC9,0xC066,0x6F14,0xC0E9,0x6F5F,
+0xC16C,0x6FA9,0xC1F0,0x6FF2,0xC274,0x703B,0xC2F8,0x7083,0xC37D,0x70CB,0xC402,
+0x7112,0xC487,0x7158,0xC50D,0x719E,0xC593,0x71E3,0xC619,0x7228,0xC6A0,0x726C,
+0xC727,0x72AF,0xC7AE,0x72F2,0xC836,0x7334,0xC8BE,0x7375,0xC946,0x73B6,0xC9CE,
+0x73F6,0xCA57,0x7436,0xCAE0,0x7475,0xCB69,0x74B3,0xCBF3,0x74F0,0xCC7D,0x752D,
+0xCD07,0x756A,0xCD92,0x75A6,0xCE1C,0x75E1,0xCEA7,0x761B,0xCF33,0x7655,0xCFBE,
+0x768E,0xD04A,0x76C7,0xD0D6,0x76FE,0xD162,0x7736,0xD1EF,0x776C,0xD27C,0x77A2,
+0xD309,0x77D8,0xD396,0x780C,0xD424,0x7840,0xD4B1,0x7874,0xD53F,0x78A6,0xD5CE,
+0x78D8,0xD65C,0x790A,0xD6EB,0x793A,0xD77A,0x796A,0xD809,0x799A,0xD898,0x79C9,
+0xD928,0x79F7,0xD9B8,0x7A24,0xDA48,0x7A51,0xDAD8,0x7A7D,0xDB68,0x7AA8,0xDBF9,
+0x7AD3,0xDC8A,0x7AFD,0xDD1B,0x7B27,0xDDAC,0x7B50,0xDE3D,0x7B78,0xDECF,0x7B9F,
+0xDF61,0x7BC6,0xDFF2,0x7BEC,0xE085,0x7C11,0xE117,0x7C36,0xE1A9,0x7C5A,0xE23C,
+0x7C7E,0xE2CF,0x7CA0,0xE361,0x7CC2,0xE3F4,0x7CE4,0xE488,0x7D05,0xE51B,0x7D25,
+0xE5AF,0x7D44,0xE642,0x7D63,0xE6D6,0x7D81,0xE76A,0x7D9E,0xE7FE,0x7DBA,0xE892,
+0x7DD6,0xE926,0x7DF2,0xE9BB,0x7E0C,0xEA4F,0x7E26,0xEAE4,0x7E3F,0xEB79,0x7E58,
+0xEC0E,0x7E70,0xECA3,0x7E87,0xED38,0x7E9D,0xEDCD,0x7EB3,0xEE62,0x7EC8,0xEEF8,
+0x7EDD,0xEF8D,0x7EF0,0xF023,0x7F03,0xF0B9,0x7F16,0xF14E,0x7F27,0xF1E4,0x7F38,
+0xF27A,0x7F49,0xF310,0x7F58,0xF3A6,0x7F67,0xF43C,0x7F75,0xF4D3,0x7F83,0xF569,
+0x7F90,0xF5FF,0x7F9C,0xF695,0x7FA7,0xF72C,0x7FB2,0xF7C2,0x7FBC,0xF859,0x7FC5,
+0xF8EF,0x7FCE,0xF986,0x7FD6,0xFA1D,0x7FDD,0xFAB3,0x7FE4,0xFB4A,0x7FEA,0xFBE1,
+0x7FEF,0xFC77,0x7FF4,0xFD0E,0x7FF7,0xFDA5,0x7FFA,0xFE3C,0x7FFD,0xFED2,0x7FFF,
+0xFF69,0x7FFF,0x7FFF,0x0000,0x7FFA,0xFDA5,0x7FEA,0xFB4A,0x7FCE,0xF8EF,0x7FA7,
+0xF695,0x7F75,0xF43C,0x7F38,0xF1E4,0x7EF0,0xEF8D,0x7E9D,0xED38,0x7E3F,0xEAE4,
+0x7DD6,0xE892,0x7D63,0xE642,0x7CE4,0xE3F4,0x7C5A,0xE1A9,0x7BC6,0xDF61,0x7B27,
+0xDD1B,0x7A7D,0xDAD8,0x79C9,0xD898,0x790A,0xD65C,0x7840,0xD424,0x776C,0xD1EF,
+0x768E,0xCFBE,0x75A6,0xCD92,0x74B3,0xCB69,0x73B6,0xC946,0x72AF,0xC727,0x719E,
+0xC50D,0x7083,0xC2F8,0x6F5F,0xC0E9,0x6E31,0xBEDF,0x6CF9,0xBCDA,0x6BB8,0xBADC,
+0x6A6E,0xB8E3,0x691A,0xB6F1,0x67BD,0xB505,0x6657,0xB31F,0x64E9,0xB140,0x6371,
+0xAF68,0x61F1,0xAD97,0x6068,0xABCD,0x5ED7,0xAA0A,0x5D3E,0xA84F,0x5B9D,0xA69C,
+0x59F4,0xA4F0,0x5843,0xA34C,0x568A,0xA1B0,0x54CA,0xA01C,0x5303,0x9E91,0x5134,
+0x9D0E,0x4F5E,0x9B94,0x4D81,0x9A22,0x4B9E,0x98B9,0x49B4,0x9759,0x47C4,0x9603,
+0x45CD,0x94B5,0x43D1,0x9371,0x41CE,0x9236,0x3FC6,0x9105,0x3DB8,0x8FDD,0x3BA5,
+0x8EBF,0x398D,0x8DAB,0x3770,0x8CA1,0x354E,0x8BA0,0x3327,0x8AAA,0x30FC,0x89BE,
+0x2ECC,0x88DD,0x2C99,0x8805,0x2A62,0x8738,0x2827,0x8676,0x25E8,0x85BE,0x23A7,
+0x8511,0x2162,0x846E,0x1F1A,0x83D6,0x1CD0,0x8349,0x1A83,0x82C6,0x1833,0x824F,
+0x15E2,0x81E2,0x138F,0x8181,0x113A,0x812A,0x0EE4,0x80DE,0x0C8C,0x809E,0x0A33,
+0x8068,0x07D9,0x803E,0x057F,0x801E,0x0324,0x800A,0x00C9,0x8001,0xFE6E,0x8002,
+0xFC13,0x800F,0xF9B8,0x8027,0xF75E,0x804B,0xF505,0x8079,0xF2AC,0x80B2,0xF055,
+0x80F6,0xEDFF,0x8146,0xEBAB,0x81A0,0xE958,0x8205,0xE707,0x8276,0xE4B9,0x82F1,
+0xE26D,0x8377,0xE023,0x8407,0xDDDC,0x84A3,0xDB99,0x8549,0xD958,0x85FA,0xD71B,
+0x86B6,0xD4E1,0x877B,0xD2AB,0x884C,0xD079,0x8927,0xCE4B,0x8A0C,0xCC21,0x8AFB,
+0xC9FC,0x8BF5,0xC7DB,0x8CF8,0xC5C0,0x8E06,0xC3A9,0x8F1D,0xC198,0x903E,0xBF8C,
+0x9169,0xBD86,0x929E,0xBB85,0x93DC,0xB98B,0x9523,0xB796,0x9674,0xB5A8,0x97CE,
+0xB3C0,0x9930,0xB1DF,0x9A9C,0xB005,0x9C11,0xAE31,0x9D8E,0xAC65,0x9F14,0xAAA0,
+0xA0A2,0xA8E2,0xA238,0xA72C,0xA3D7,0xA57E,0xA57E,0xA3D7,0xA72C,0xA238,0xA8E2,
+0xA0A2,0xAAA0,0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930,
+0xB3C0,0x97CE,0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86,
+0x9169,0xBF8C,0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5,
+0xC9FC,0x8AFB,0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1,
+0x86B6,0xD71B,0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377,
+0xE26D,0x82F1,0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF,
+0x80F6,0xF055,0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F,
+0xFC13,0x8002,0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9,
+0x8068,0x0A33,0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2,
+0x15E2,0x824F,0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162,
+0x8511,0x23A7,0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD,
+0x2ECC,0x89BE,0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D,
+0x8EBF,0x3BA5,0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5,
+0x45CD,0x9603,0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E,
+0x9D0E,0x5134,0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0,
+0x59F4,0xA69C,0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1,
+0xAF68,0x6371,0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3,
+0x6A6E,0xBADC,0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083,
+0xC50D,0x719E,0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE,
+0x768E,0xD1EF,0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D,
+0xDD1B,0x7B27,0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892,
+0x7DD6,0xEAE4,0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75,
+0xF695,0x7FA7,0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7,
+0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946,
+0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134,
+0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676,
+0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055,
+0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D,
+0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930,
+0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC,
+0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2,
+0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE,
+0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3,
+0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4,
+0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,
+0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,
+0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,
+0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,};
+
+#endif
+
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+#endif /* defined(ARM_MATH_MVEI) */
+
+#include "arm_math.h"
+
+#if defined(ARM_MATH_MVEI)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+#endif /* defined(ARM_MATH_MVEI) */
+
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt b/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..87ea102
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
@@ -0,0 +1,53 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPComplexMath)
+
+include(configLib)
+include(configDsp)
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPComplexMath STATIC)
+
+configLib(CMSISDSPComplexMath ${ROOT})
+configDsp(CMSISDSPComplexMath ${ROOT})
+
+
+include(interpol)
+interpol(CMSISDSPFastMath)
+
+if (CONFIGTABLE AND ALLFAST)
+ target_compile_definitions(CMSISDSPComplexMath PUBLIC ARM_ALL_FAST_TABLES)
+endif()
+
+# MVE code is using a table for computing the fast sqrt arm_cmplx_mag_q31
+# There is the possibility of not compiling this function and not including
+# the table.
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q31 OR (NOT HELIUM AND NOT MVEI))
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q15 OR (NOT HELIUM AND NOT MVEI))
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q15.c)
+endif()
+
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q31.c)
+
+
+### Includes
+target_include_directories(CMSISDSPComplexMath PUBLIC "${DSP}/Include")
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c b/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
new file mode 100644
index 0000000..2210533
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
@@ -0,0 +1,46 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: CompexMathFunctions.c
+ * Description: Combination of all comlex math function source files.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_cmplx_conj_f32.c"
+#include "arm_cmplx_conj_q15.c"
+#include "arm_cmplx_conj_q31.c"
+#include "arm_cmplx_dot_prod_f32.c"
+#include "arm_cmplx_dot_prod_q15.c"
+#include "arm_cmplx_dot_prod_q31.c"
+#include "arm_cmplx_mag_f32.c"
+#include "arm_cmplx_mag_q15.c"
+#include "arm_cmplx_mag_q31.c"
+#include "arm_cmplx_mag_squared_f32.c"
+#include "arm_cmplx_mag_squared_q15.c"
+#include "arm_cmplx_mag_squared_q31.c"
+#include "arm_cmplx_mult_cmplx_f32.c"
+#include "arm_cmplx_mult_cmplx_q15.c"
+#include "arm_cmplx_mult_cmplx_q31.c"
+#include "arm_cmplx_mult_real_f32.c"
+#include "arm_cmplx_mult_real_q15.c"
+#include "arm_cmplx_mult_real_q31.c"
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
new file mode 100644
index 0000000..4e74bcc
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
@@ -0,0 +1,213 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_f32.c
+ * Description: Floating-point complex conjugate
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_conj Complex Conjugate
+
+ Conjugates the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the destination data where the result should be written.
+ numSamples specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of 2*numSamples values.
+
+ The underlying algorithm is used:
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n) ] = pSrc[(2*n) ]; // real part
+ pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Floating-point complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ static const float32_t cmplx_conj_sign[4] = { 1.0f, -1.0f, 1.0f, -1.0f };
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f32x4_t vecSrc;
+ f32x4_t vecSign;
+
+ /*
+ * load sign vector
+ */
+ vecSign = *(f32x4_t *) cmplx_conj_sign;
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld1q(pSrc);
+ vst1q(pDst,vmulq(vecSrc, vecSign));
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x3) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4_t zero;
+ float32x4x2_t vec;
+
+ zero = vdupq_n_f32(0.0f);
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0]+jC[1] = A[0]+(-1)*jA[1] */
+ /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+ vec = vld2q_f32(pSrc);
+ vec.val[1] = vsubq_f32(zero,vec.val[1]);
+ vst2q_f32(pDst,vec);
+
+ /* Increment pointers */
+ pSrc += 8;
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined (ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..31c19c4
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,207 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q15.c
+ * Description: Q15 complex conjugate
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q15 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+
+#if defined(ARM_MATH_MVEI)
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31_t in1;
+
+ q15x8x2_t vecSrc;
+ q15x8_t zero;
+
+ zero = vdupq_n_s16(0);
+
+ /* Compute 8 real samples at a time */
+ blkCnt = blockSize >> 4U;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]);
+ vst2q(pDst,vecSrc);
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0xF) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = __SSAT(-in1, 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in1; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+ q31_t in2, in3, in4; /* Temporary input variables */
+#endif
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+
+ #if defined (ARM_MATH_DSP)
+ in1 = read_q15x2_ia ((q15_t **) &pSrc);
+ in2 = read_q15x2_ia ((q15_t **) &pSrc);
+ in3 = read_q15x2_ia ((q15_t **) &pSrc);
+ in4 = read_q15x2_ia ((q15_t **) &pSrc);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ in1 = __QASX(0, in1);
+ in2 = __QASX(0, in2);
+ in3 = __QASX(0, in3);
+ in4 = __QASX(0, in4);
+#else
+ in1 = __QSAX(0, in1);
+ in2 = __QSAX(0, in2);
+ in3 = __QSAX(0, in3);
+ in4 = __QSAX(0, in4);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+ in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+ in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+ in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+ write_q15x2_ia (&pDst, in1);
+ write_q15x2_ia (&pDst, in2);
+ write_q15x2_ia (&pDst, in3);
+ write_q15x2_ia (&pDst, in4);
+#else
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __SSAT(-in1, 16);
+#else
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..9cc029b
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,193 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q31.c
+ * Description: Q31 complex conjugate
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q31 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31x4x2_t vecSrc;
+ q31_t in; /* Temporary input variable */
+ q31x4_t zero;
+
+ zero = vdupq_n_s32(0);
+
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+
+ vecSrc = vld2q(pSrc);
+ vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]);
+ vst2q(pDst,vecSrc);
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x7) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+ *pDst++ = __QSUB(0, in);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+
+}
+#else
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..4925f02
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,302 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f32.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The pSrcA points to the first complex input vector and
+ pSrcB points to the second complex input vector.
+ numSamples specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of 2*numSamples values.
+
+ The underlying algorithm is used:
+
+
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ float32_t real_sum, imag_sum;
+ f32x4_t vecSrcA, vecSrcB;
+ f32x4_t vec_acc = vdupq_n_f32(0.0f);
+ float32_t a0,b0,c0,d0;
+
+ /* Compute 2 complex samples at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt--;
+ }
+
+
+ real_sum = vgetq_lane(vec_acc, 0) + vgetq_lane(vec_acc, 2);
+ imag_sum = vgetq_lane(vec_acc, 1) + vgetq_lane(vec_acc, 3);
+
+ /* Tail */
+ blkCnt = (blockSize & 3) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+
+ /*
+ * Store the real and imaginary results in the destination buffers
+ */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+#else
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ float32_t a0,b0,c0,d0;
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t vec1,vec2,vec3,vec4;
+ float32x4_t accR,accI;
+ float32x2_t accum = vdup_n_f32(0);
+
+ accR = vdupq_n_f32(0.0f);
+ accI = vdupq_n_f32(0.0f);
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0]+jA[1])*(B[0]+jB[1]) + ... */
+ /* Calculate dot product and then store the result in a temporary buffer. */
+
+ vec1 = vld2q_f32(pSrcA);
+ vec2 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]);
+ accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]);
+ accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]);
+
+ vec3 = vld2q_f32(pSrcA);
+ vec4 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]);
+ accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]);
+ accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR));
+ real_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI));
+ imag_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* Tail */
+ blkCnt = numSamples & 0x7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..5502a48
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,234 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q15.c
+ * Description: Processing function for the Q15 Complex Dot product
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q15 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned her
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.
+ These are accumulated in a 64-bit accumulator with 34.30 precision.
+ As a final step, the accumulators are converted to 8.24 format.
+ The return results realResult and imagResult are in 8.24 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q15_t a0,b0,c0,d0;
+
+ q63_t accReal = 0LL; q63_t accImag = 0LL;
+ q15x8_t vecSrcA, vecSrcB;
+
+
+
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ q15x8_t vecSrcC, vecSrcD;
+
+ accReal = vmlsldavaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ accImag = vmlaldavaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ accReal = vmlsldavaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ accImag = vmlaldavaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Tail */
+ pSrcA -= 8;
+ pSrcB -= 8;
+
+ blkCnt = (blockSize & 7) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ accReal += (q31_t)a0 * c0;
+ accImag += (q31_t)a0 * d0;
+ accReal -= (q31_t)b0 * d0;
+ accImag += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 8.24 format */
+ /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+ *realResult = (q31_t) (accReal >> 6);
+ /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+ *imagResult = (q31_t) (accImag >> 6);
+}
+#else
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q15_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 8.24 format */
+ /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+ *realResult = (q31_t) (real_sum >> 6);
+ /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+ *imagResult = (q31_t) (imag_sum >> 6);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..5e086ec
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,220 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q31.c
+ * Description: Q31 complex dot product
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q31 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.
+ The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.
+ Additions are nonsaturating and no overflow will occur as long as numSamples is less than 32768.
+ The return results realResult and imagResult are in 16.48 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31x4_t vecSrcA, vecSrcB;
+ q63_t accReal = 0LL;
+ q63_t accImag = 0LL;
+
+ q31_t a0,b0,c0,d0;
+
+ /* Compute 2 complex samples at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+
+ accReal = vrmlsldavhaq(accReal, vecSrcA, vecSrcB);
+ accImag = vrmlaldavhaxq(accImag, vecSrcA, vecSrcB);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt --;
+ }
+
+ accReal = asrl(accReal, (14 - 8));
+ accImag = asrl(accImag, (14 - 8));
+
+ /* Tail */
+ blkCnt = (blockSize & 3) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ accReal += ((q63_t)a0 * c0) >> 14;
+ accImag += ((q63_t)a0 * d0) >> 14;
+ accReal -= ((q63_t)b0 * d0) >> 14;
+ accImag += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = accReal;
+ *imagResult = accImag;
+}
+
+#else
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q31_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 16.48 format */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..ff614eb
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,273 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f32.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_vec_math.h"
+#endif
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f32x4x2_t vecSrc;
+ f32x4_t sum;
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t newtonStartVec;
+ f32x4_t sumHalf, invSqrt;
+
+ vecSrc = vld2q(pSrc);
+ pSrc += 8;
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s32(INVSQRT_MAGIC_F32) - vshrq((q31x4_t) sum, 1);
+ sumHalf = sum * 0.5f;
+ /*
+ * compute 3 x iterations
+ *
+ * The more iterations, the more accuracy.
+ * If you need to trade a bit of accuracy for more performance,
+ * you can comment out the 3rd use of the macro.
+ */
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, (f32x4_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt);
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, 0.0f, vcmpltq(invSqrt, 0.0f));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vst1q(pDst, sum);
+ pDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqA));
+ pDst += 4;
+
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqB));
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..498c0e6
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,221 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q15.c
+ * Description: Q15 complex magnitude
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q15x8x2_t vecSrc;
+ q15x8_t sum;
+ q31_t in;
+ q31_t acc0;
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ sum = FAST_VSQRT_Q15(sum);
+
+ vst1q(pDst, sum);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..d0950ee
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,201 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q31.c
+ * Description: Q31 complex magnitude
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+
+ q31x4x2_t vecSrc;
+ q31x4_t sum;
+
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ /*
+
+ This function is using a table. There are compilations flags to avoid
+ including this table (and in this case, arm_cmplx_maq_q31 must not
+ be built and linked.)
+
+ */
+ sum = FAST_VSQRT_Q31(sum);
+
+ vst1q(pDst, sum);
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ pSrc += 8;
+ pDst += 4;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..1cea04e
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,235 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f32.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+ Computes the magnitude squared of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f32x4x2_t vecSrc;
+ f32x4_t sum;
+ float32_t real, imag; /* Temporary input variables */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+ vst1q(pDst, sum);
+
+ pSrc += 8;
+ pDst += 4;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real, imag; /* Temporary input variables */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, vMagSqA);
+ pDst += 4;
+
+ vst1q_f32(pDst, vMagSqB);
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..a6107be
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,221 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q15.c
+ * Description: Q15 complex magnitude squared
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+ q15x8x2_t vecSrc;
+ q15x8_t vReal, vImag;
+ q15x8_t vMagSq;
+
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]);
+ vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]);
+ vMagSq = vqaddq(vReal, vImag);
+ vMagSq = vshrq(vMagSq, 1);
+
+ vst1q(pDst, vMagSq);
+
+ pSrc += 16;
+ pDst += 8;
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ blkCnt --;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..7127e6e
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,187 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q31.c
+ * Description: Q31 complex magnitude squared
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q31x4x2_t vecSrc;
+ q31x4_t vReal, vImag;
+ q31x4_t vMagSq;
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]);
+ vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]);
+ vMagSq = vqaddq(vReal, vImag);
+ vMagSq = vshrq(vMagSq, 1);
+
+ vst1q(pDst, vMagSq);
+
+ pSrc += 8;
+ pDst += 4;
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ /* store the result in 3.29 format in the destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..3352032
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,255 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f32.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+ Multiplies a complex vector by another complex vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter numSamples represents the number of complex
+ samples processed. The complex arrays have a total of 2*numSamples
+ real values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counters */
+ uint32_t blockSize = numSamples; /* loop counters */
+ float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+ f32x4x2_t vecA;
+ f32x4x2_t vecB;
+ f32x4x2_t vecDst;
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecA = vld2q(pSrcA); // load & separate real/imag pSrcA (de-interleave 2)
+ vecB = vld2q(pSrcB); // load & separate real/imag pSrcB
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst.val[0] = vmulq(vecA.val[0], vecB.val[0]);
+ vecDst.val[0] = vfmsq(vecDst.val[0],vecA.val[1], vecB.val[1]);
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst.val[1] = vmulq(vecA.val[0], vecB.val[1]);
+ vecDst.val[1] = vfmaq(vecDst.val[1], vecA.val[1], vecB.val[0]);
+
+ vst2q(pDst, vecDst);
+ pDst += 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t va, vb;
+ float32x4x2_t outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ va = vld2q_f32(pSrcA); // load & separate real/imag pSrcA (de-interleave 2)
+ vb = vld2q_f32(pSrcB); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ outCplx.val[0] = vmulq_f32(va.val[0], vb.val[0]);
+ outCplx.val[0] = vmlsq_f32(outCplx.val[0], va.val[1], vb.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ outCplx.val[1] = vmulq_f32(va.val[0], vb.val[1]);
+ outCplx.val[1] = vmlaq_f32(outCplx.val[1], va.val[1], vb.val[0]);
+
+ vst2q_f32(pDst, outCplx);
+
+ /* Increment pointer */
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..82b31f9
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,196 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q15.c
+ * Description: Q15 complex-by-complex multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counters */
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ q15_t a, b, c, d;
+
+ q15x8_t vecA;
+ q15x8_t vecB;
+ q15x8_t vecDst;
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcA);
+ vecB = vld1q(pSrcB);
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst = vqdmlsdhq_s16(vuninitializedq_s16(), vecA, vecB);
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst = vqdmladhxq_s16(vecDst, vecA, vecB);
+
+ vecDst = vshrq(vecDst, 2);
+
+ vst1q(pDst, vecDst);
+
+ blkCnt --;
+ pSrcA += 8;
+ pSrcB += 8;
+ pDst += 8;
+ };
+
+ /*
+ * tail
+ */
+ blkCnt = (blockSize & 7) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..a14decf
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,194 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q31.c
+ * Description: Q31 complex-by-complex multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI)
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+
+ uint32_t blkCnt; /* loop counters */
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ q31x4_t vecA;
+ q31x4_t vecB;
+ q31x4_t vecDst;
+ q31_t a, b, c, d; /* Temporary variables */
+
+ /* Compute 2 complex outputs at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vld1q(pSrcA);
+ vecB = vld1q(pSrcB);
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst = vqdmlsdhq(vuninitializedq_s32(),vecA, vecB);
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst = vqdmladhxq(vecDst, vecA, vecB);
+
+ vecDst = vshrq(vecDst, 2);
+ vst1q(pDst, vecDst);
+
+ blkCnt --;
+ pSrcA += 4;
+ pSrcB += 4;
+ pDst += 4;
+ };
+
+ blkCnt = (blockSize & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..25d60a5
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,224 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_f32.c
+ * Description: Floating-point complex by real multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+ Multiplies a complex vector by a real vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter numSamples represents the number of complex
+ samples processed. The complex arrays have a total of 2*numSamples
+ real values while the real array has a total of numSamples
+ real values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+ pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ const static uint32_t stride_cmplx_x_real_32[4] = { 0, 0, 1, 1 };
+
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f32x4_t rVec;
+ f32x4_t cmplxVec;
+ f32x4_t dstVec;
+ uint32x4_t strideVec;
+ float32_t in;
+
+
+ /* stride vector for pairs of real generation */
+ strideVec = vld1q(stride_cmplx_x_real_32);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 2;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrwq_gather_shifted_offset_f32(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 2;
+ pSrcCmplx += 4;
+ pCmplxDst += 4;
+ blkCnt--;
+ }
+
+ blkCnt = (blockSizeC & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t in; /* Temporary variable */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4_t r;
+ float32x4x2_t ab,outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ ab = vld2q_f32(pSrcCmplx); // load & separate real/imag pSrcA (de-interleave 2)
+ r = vld1q_f32(pSrcReal); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcCmplx += 8;
+ pSrcReal += 4;
+
+ outCplx.val[0] = vmulq_f32(ab.val[0], r);
+ outCplx.val[1] = vmulq_f32(ab.val[1], r);
+
+ vst2q_f32(pCmplxDst, outCplx);
+ pCmplxDst += 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++* in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..8175938
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,238 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q15.c
+ * Description: Q15 complex by real multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI)
+
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ const static uint16_t stride_cmplx_x_real_16[8] = {
+ 0, 0, 1, 1, 2, 2, 3, 3
+ };
+ q15x8_t rVec;
+ q15x8_t cmplxVec;
+ q15x8_t dstVec;
+ uint16x8_t strideVec;
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q15_t in;
+
+ /*
+ * stride vector for pairs of real generation
+ */
+ strideVec = vld1q(stride_cmplx_x_real_16);
+
+ blkCnt = blockSizeC >> 3;
+
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_s16(pSrcReal, strideVec);
+ dstVec = vqdmulhq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 4;
+ pSrcCmplx += 8;
+ pCmplxDst += 8;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSizeC & 7) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q31_t inA1, inA2; /* Temporary variables to hold input data */
+ q31_t inB1; /* Temporary variables to hold input data */
+ q15_t out1, out2, out3, out4; /* Temporary variables to hold output data */
+ q31_t mul1, mul2, mul3, mul4; /* Temporary variables to hold intermediate data */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 complex numbers both real and imaginary from complex input buffer */
+ inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ /* read 2 real values at a time from real input buffer */
+ inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+ /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* saturate the result */
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ /* pack real and imaginary outputs and store them to destination */
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+
+ inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+#else
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..bc9ba69
--- /dev/null
+++ b/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q31.c
+ * Description: Q31 complex by real multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI)
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+
+ const static uint32_t stride_cmplx_x_real_32[4] = {
+ 0, 0, 1, 1
+ };
+ q31x4_t rVec;
+ q31x4_t cmplxVec;
+ q31x4_t dstVec;
+ uint32x4_t strideVec;
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31_t in;
+
+ /*
+ * stride vector for pairs of real generation
+ */
+ strideVec = vld1q(stride_cmplx_x_real_32);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 2;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrwq_gather_shifted_offset_s32(pSrcReal, strideVec);
+ dstVec = vqdmulhq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 2;
+ pSrcCmplx += 4;
+ pCmplxDst += 4;
+ blkCnt --;
+ }
+
+ blkCnt = (blockSizeC & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt b/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt
new file mode 100644
index 0000000..da41e42
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt
@@ -0,0 +1,41 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPController)
+
+include(configLib)
+include(configDsp)
+
+add_library(CMSISDSPController STATIC)
+
+configLib(CMSISDSPController ${ROOT})
+configDsp(CMSISDSPController ${ROOT})
+
+include(interpol)
+interpol(CMSISDSPController)
+
+if (CONFIGTABLE AND ALLFAST)
+ target_compile_definitions(CMSISDSPController PUBLIC ARM_ALL_FAST_TABLES)
+endif()
+
+target_sources(CMSISDSPController PRIVATE arm_pid_init_f32.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_init_q15.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_init_q31.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_f32.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_q15.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_q31.c)
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_F32)
+target_sources(CMSISDSPController PRIVATE arm_sin_cos_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_Q31)
+target_sources(CMSISDSPController PRIVATE arm_sin_cos_q31.c)
+endif()
+
+
+
+### Includes
+target_include_directories(CMSISDSPController PUBLIC "${DSP}/Include")
+
+
+
diff --git a/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c b/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c
new file mode 100644
index 0000000..51720bc
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c
@@ -0,0 +1,37 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: ControllerFunctions.c
+ * Description: Combination of all controller function source files.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_pid_init_f32.c"
+#include "arm_pid_init_q15.c"
+#include "arm_pid_init_q31.c"
+#include "arm_pid_reset_f32.c"
+#include "arm_pid_reset_q15.c"
+#include "arm_pid_reset_q31.c"
+#include "arm_sin_cos_f32.c"
+#include "arm_sin_cos_q31.c"
+
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
new file mode 100644
index 0000000..ecb703a
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
@@ -0,0 +1,75 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_init_f32.c
+ * Description: Floating-point PID Control initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point PID Control.
+ @param[in,out] S points to an instance of the PID structure
+ @param[in] resetStateFlag
+ - value = 0: no change in state
+ - value = 1: reset state
+ @return none
+
+ @par Details
+ The resetStateFlag specifies whether to set state to zero or not. \n
+ The function computes the structure fields: A0, A1 A2
+ using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_f32(
+ arm_pid_instance_f32 * S,
+ int32_t resetStateFlag)
+{
+ /* Derived coefficient A0 */
+ S->A0 = S->Kp + S->Ki + S->Kd;
+
+ /* Derived coefficient A1 */
+ S->A1 = (-S->Kp) - ((float32_t) 2.0f * S->Kd);
+
+ /* Derived coefficient A2 */
+ S->A2 = S->Kd;
+
+ /* Check whether state needs reset or not */
+ if (resetStateFlag)
+ {
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(float32_t));
+ }
+
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
new file mode 100644
index 0000000..c88a3d9
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_init_q15.c
+ * Description: Q15 PID Control initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 PID Control.
+ @param[in,out] S points to an instance of the Q15 PID structure
+ @param[in] resetStateFlag
+ - value = 0: no change in state
+ - value = 1: reset state
+ @return none
+
+ @par Details
+ The resetStateFlag specifies whether to set state to zero or not. \n
+ The function computes the structure fields: A0, A1 A2
+ using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q15(
+ arm_pid_instance_q15 * S,
+ int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ /* Derived coefficient A0 */
+ S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
+
+ /* Derived coefficients and pack into A1 */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
+#else
+ S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
+#endif
+
+#else
+
+ q31_t temp; /* to store the sum */
+
+ /* Derived coefficient A0 */
+ temp = S->Kp + S->Ki + S->Kd;
+ S->A0 = (q15_t) __SSAT(temp, 16);
+
+ /* Derived coefficients and pack into A1 */
+ temp = -(S->Kd + S->Kd + S->Kp);
+ S->A1 = (q15_t) __SSAT(temp, 16);
+ S->A2 = S->Kd;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Check whether state needs reset or not */
+ if (resetStateFlag)
+ {
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q15_t));
+ }
+
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
new file mode 100644
index 0000000..1625a5f
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_init_q31.c
+ * Description: Q31 PID Control initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 PID Control.
+ @param[in,out] S points to an instance of the Q31 PID structure
+ @param[in] resetStateFlag
+ - value = 0: no change in state
+ - value = 1: reset state
+ @return none
+
+ @par Details
+ The resetStateFlag specifies whether to set state to zero or not. \n
+ The function computes the structure fields: A0, A1 A2
+ using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q31(
+ arm_pid_instance_q31 * S,
+ int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ /* Derived coefficient A0 */
+ S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
+
+ /* Derived coefficient A1 */
+ S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
+
+#else
+
+ q31_t temp; /* to store the sum */
+
+ /* Derived coefficient A0 */
+ temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
+ S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
+
+ /* Derived coefficient A1 */
+ temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
+ S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Derived coefficient A2 */
+ S->A2 = S->Kd;
+
+ /* Check whether state needs reset or not */
+ if (resetStateFlag)
+ {
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q31_t));
+ }
+
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
new file mode 100644
index 0000000..d839e55
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_reset_f32.c
+ * Description: Floating-point PID Control reset function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Reset function for the floating-point PID Control.
+ @param[in,out] S points to an instance of the floating-point PID structure
+ @return none
+
+ @par Details
+ The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_f32(
+ arm_pid_instance_f32 * S)
+{
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(float32_t));
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
new file mode 100644
index 0000000..256fd8c
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_reset_q15.c
+ * Description: Q15 PID Control reset function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Reset function for the Q15 PID Control.
+ @param[in,out] S points to an instance of the Q15 PID structure
+ @return none
+
+ @par Details
+ The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_q15(
+ arm_pid_instance_q15 * S)
+{
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q15_t));
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
new file mode 100644
index 0000000..2aa391c
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_reset_q31.c
+ * Description: Q31 PID Control reset function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Reset function for the Q31 PID Control.
+ @param[in,out] S points to an instance of the Q31 PID structure
+ @return none
+
+ @par Details
+ The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_q31(
+ arm_pid_instance_q31 * S)
+{
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q31_t));
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c b/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
new file mode 100644
index 0000000..12a1c83
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sin_cos_f32.c
+ * Description: Sine and Cosine calculation for floating-point values
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupController
+ */
+
+/**
+ @defgroup SinCos Sine Cosine
+
+ Computes the trigonometric sine and cosine values using a combination of table lookup
+ and linear interpolation.
+ There are separate functions for Q31 and floating-point data types.
+ The input to the floating-point version is in degrees while the
+ fixed-point Q31 have a scaled input with the range
+ [-1 0.9999] mapping to [-180 +180] degrees.
+
+ The floating point function also allows values that are out of the usual range. When this happens, the function will
+ take extra time to adjust the input value to the range of [-180 180].
+
+ The result is accurate to 5 digits after the decimal point.
+
+ The implementation is based on table lookup using 360 values together with linear interpolation.
+ The steps used are:
+ -# Calculation of the nearest integer table index.
+ -# Compute the fractional portion (fract) of the input.
+ -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.
+ -# Sine value is computed as *psinVal = y0 + (fract * (y1 - y0)).
+ -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.
+ -# Cosine value is computed as *pcosVal = y0 + (fract * (y1 - y0)).
+ */
+
+/**
+ @addtogroup SinCos
+ @{
+ */
+
+/**
+ @brief Floating-point sin_cos function.
+ @param[in] theta input value in degrees
+ @param[out] pSinVal points to processed sine output
+ @param[out] pCosVal points to processed cosine output
+ @return none
+ */
+
+void arm_sin_cos_f32(
+ float32_t theta,
+ float32_t * pSinVal,
+ float32_t * pCosVal)
+{
+ float32_t fract, in; /* Temporary input, output variables */
+ uint16_t indexS, indexC; /* Index variable */
+ float32_t f1, f2, d1, d2; /* Two nearest output values */
+ float32_t Dn, Df;
+ float32_t temp, findex;
+
+ /* input x is in degrees */
+ /* Scale input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+ in = theta * 0.00277777777778f;
+
+ if (in < 0.0f)
+ {
+ in = -in;
+ }
+
+ in = in - (int32_t)in;
+
+ /* Calculate the nearest index */
+ findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
+ indexS = ((uint16_t)findex) & 0x1ff;
+ indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
+
+ /* Calculation of fractional value */
+ fract = findex - (float32_t) indexS;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_f32[indexC ];
+ f2 = sinTable_f32[indexC+1];
+ d1 = -sinTable_f32[indexS ];
+ d2 = -sinTable_f32[indexS+1];
+
+ temp = (1.0f - fract) * f1 + fract * f2;
+
+ Dn = 0.0122718463030f; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
+ Df = f2 - f1; /* delta between the values of the functions */
+
+ temp = Dn * (d1 + d2) - 2 * Df;
+ temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+ temp = fract * temp + d1 * Dn;
+
+ /* Calculation of cosine value */
+ *pCosVal = fract * temp + f1;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_f32[indexS ];
+ f2 = sinTable_f32[indexS+1];
+ d1 = sinTable_f32[indexC ];
+ d2 = sinTable_f32[indexC+1];
+
+ temp = (1.0f - fract) * f1 + fract * f2;
+
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn * (d1 + d2) - 2 * Df;
+ temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+ temp = fract * temp + d1 * Dn;
+
+ /* Calculation of sine value */
+ *pSinVal = fract * temp + f1;
+
+ if (theta < 0.0f)
+ {
+ *pSinVal = -*pSinVal;
+ }
+}
+
+/**
+ @} end of SinCos group
+ */
diff --git a/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c b/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
new file mode 100644
index 0000000..84ee3d2
--- /dev/null
+++ b/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sin_cos_q31.c
+ * Description: Cosine & Sine calculation for Q31 values
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupController
+ */
+
+/**
+ @addtogroup SinCos
+ @{
+ */
+
+/**
+ @brief Q31 sin_cos function.
+ @param[in] theta scaled input value in degrees
+ @param[out] pSinVal points to processed sine output
+ @param[out] pCosVal points to processed cosine output
+ @return none
+
+ The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
+ */
+
+void arm_sin_cos_q31(
+ q31_t theta,
+ q31_t * pSinVal,
+ q31_t * pCosVal)
+{
+ q31_t fract; /* Temporary input, output variables */
+ uint16_t indexS, indexC; /* Index variable */
+ q31_t f1, f2, d1, d2; /* Two nearest output values */
+ q31_t Dn, Df;
+ q63_t temp;
+
+ /* Calculate the nearest index */
+ indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+ indexC = (indexS + 128) & 0x1ff;
+
+ /* Calculation of fractional value */
+ fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_q31[indexC ];
+ f2 = sinTable_q31[indexC+1];
+ d1 = -sinTable_q31[indexS ];
+ d2 = -sinTable_q31[indexS+1];
+
+ Dn = 0x1921FB5; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
+ Df = f2 - f1; /* delta between the values of the functions */
+
+ temp = Dn * ((q63_t)d1 + d2);
+ temp = temp - ((q63_t)Df << 32);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + (q63_t)d1 * Dn;
+ temp = (q63_t)fract * (temp >> 31);
+
+ /* Calculation of cosine value */
+ *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_q31[indexS ];
+ f2 = sinTable_q31[indexS+1];
+ d1 = sinTable_q31[indexC ];
+ d2 = sinTable_q31[indexC+1];
+
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn * ((q63_t)d1 + d2);
+ temp = temp - ((q63_t)Df << 32);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + (q63_t)d1 * Dn;
+ temp = (q63_t)fract * (temp >> 31);
+
+ /* Calculation of sine value */
+ *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+}
+
+/**
+ @} end of SinCos group
+ */
diff --git a/CMSIS/DSP/Source/DistanceFunctions/CMakeLists.txt b/CMSIS/DSP/Source/DistanceFunctions/CMakeLists.txt
new file mode 100755
index 0000000..63da550
--- /dev/null
+++ b/CMSIS/DSP/Source/DistanceFunctions/CMakeLists.txt
@@ -0,0 +1,20 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPDistance)
+
+include(configLib)
+include(configDsp)
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPDistance STATIC ${SRC})
+
+configLib(CMSISDSPDistance ${ROOT})
+configDsp(CMSISDSPDistance ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPDistance PUBLIC "${DSP}/Include")
+target_include_directories(CMSISDSPDistance PRIVATE ".")
+
+
+
diff --git a/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c b/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c
new file mode 100644
index 0000000..7a8e062
--- /dev/null
+++ b/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c
@@ -0,0 +1,47 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: BayesFunctions.c
+ * Description: Combination of all distance function source files.
+ *
+ * $Date: 16. March 2020
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_boolean_distance.c"
+#include "arm_braycurtis_distance_f32.c"
+#include "arm_canberra_distance_f32.c"
+#include "arm_chebyshev_distance_f32.c"
+#include "arm_cityblock_distance_f32.c"
+#include "arm_correlation_distance_f32.c"
+#include "arm_cosine_distance_f32.c"
+#include "arm_dice_distance.c"
+#include "arm_euclidean_distance_f32.c"
+#include "arm_hamming_distance.c"
+#include "arm_jaccard_distance.c"
+#include "arm_jensenshannon_distance_f32.c"
+#include "arm_kulsinski_distance.c"
+#include "arm_minkowski_distance_f32.c"
+#include "arm_rogerstanimoto_distance.c"
+#include "arm_russellrao_distance.c"
+#include "arm_sokalmichener_distance.c"
+#include "arm_sokalsneath_distance.c"
+#include "arm_yule_distance.c"
diff --git a/CMSIS/DSP/Source/DistanceFunctions/arm_boolean_distance.c b/CMSIS/DSP/Source/DistanceFunctions/arm_boolean_distance.c
new file mode 100755
index 0000000..dfd5d98
--- /dev/null
+++ b/CMSIS/DSP/Source/DistanceFunctions/arm_boolean_distance.c
@@ -0,0 +1,78 @@
+
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_svm_linear_init_f32.c
+ * Description: SVM Linear Instance Initialization
+ *
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include (1.0f-fract)*a + fract*b;
+
+ where
+ + a = Table[index]; + b = Table[index+1]; ++ */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for floating-point data. + @param[in] x input value in radians + @return cos(x) + */ +float32_t arm_cos_f32( + float32_t x) +{ + float32_t cosVal, fract, in; /* Temporary input, output variables */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */ + in = x * 0.159154943092f + 0.25f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + index = (uint16_t)findex; + + /* when "in" is exactly 1, we need to rotate the index down to 0 */ + if (index >= FAST_MATH_TABLE_SIZE) { + index = 0; + findex -= (float32_t)FAST_MATH_TABLE_SIZE; + } + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the cos table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + cosVal = (1.0f - fract) * a + fract * b; + + /* Return output value */ + return (cosVal); +} + +/** + @} end of cos group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c b/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c new file mode 100644 index 0000000..3bb829c --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q15.c + * Description: Fast cosine calculation for Q15 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for Q15 data. + @param[in] x Scaled input value in radians + @return cos(x) + + The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q15_t arm_cos_q15( + q15_t x) +{ + q15_t cosVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q15_t a, b; /* Two nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint16_t)x + 0x2000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + cosVal = (q31_t) (0x8000 - fract) * a >> 16; + cosVal = (q15_t) ((((q31_t) cosVal << 16) + ((q31_t) fract * b)) >> 16); + + /* Return output value */ + return (cosVal << 1); +} + +/** + @} end of cos group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c b/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c new file mode 100644 index 0000000..8b7ff78 --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q31.c + * Description: Fast cosine calculation for Q31 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for Q31 data. + @param[in] x Scaled input value in radians + @return cos(x) + + The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q31_t arm_cos_q31( + q31_t x) +{ + q31_t cosVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q31_t a, b; /* Two nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint32_t)x + 0x20000000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + cosVal = (q63_t) (0x80000000 - fract) * a >> 32; + cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) fract * b)) >> 32); + + /* Return output value */ + return (cosVal << 1); +} + +/** + @} end of cos group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c b/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c new file mode 100644 index 0000000..97c6902 --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_f32.c + * Description: Fast sine calculation for floating-point values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @defgroup sin Sine + + Computes the trigonometric sine function using a combination of table lookup + and linear interpolation. There are separate functions for + Q15, Q31, and floating-point data types. + The input to the floating-point version is in radians while the + fixed-point Q15 and Q31 have a scaled input with the range + [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a + value of 2*pi wraps around to 0. + + The implementation is based on table lookup using 256 values together with linear interpolation. + The steps used are: + -# Calculation of the nearest integer table index + -# Compute the fractional portion (fract) of the table index. + -# The final result equals
(1.0f-fract)*a + fract*b;
+
+ where
+ + b = Table[index]; + c = Table[index+1]; ++ */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for floating-point data. + @param[in] x input value in radians. + @return sin(x) + */ + +float32_t arm_sin_f32( + float32_t x) +{ + float32_t sinVal, fract, in; /* Temporary input, output variables */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi */ + in = x * 0.159154943092f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + index = (uint16_t)findex; + + /* when "in" is exactly 1, we need to rotate the index down to 0 */ + if (index >= FAST_MATH_TABLE_SIZE) { + index = 0; + findex -= (float32_t)FAST_MATH_TABLE_SIZE; + } + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + sinVal = (1.0f - fract) * a + fract * b; + + /* Return output value */ + return (sinVal); +} + +/** + @} end of sin group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c b/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c new file mode 100644 index 0000000..6924b5d --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c @@ -0,0 +1,83 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q15.c + * Description: Fast sine calculation for Q15 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for Q15 data. + @param[in] x Scaled input value in radians + @return sin(x) + + The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q15_t arm_sin_q15( + q15_t x) +{ + q15_t sinVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q15_t a, b; /* Two nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + sinVal = (q31_t) (0x8000 - fract) * a >> 16; + sinVal = (q15_t) ((((q31_t) sinVal << 16) + ((q31_t) fract * b)) >> 16); + + /* Return output value */ + return (sinVal << 1); +} + +/** + @} end of sin group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c b/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c new file mode 100644 index 0000000..b1f1544 --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c @@ -0,0 +1,82 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q31.c + * Description: Fast sine calculation for Q31 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for Q31 data. + @param[in] x Scaled input value in radians + @return sin(x) + + The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q31_t arm_sin_q31( + q31_t x) +{ + q31_t sinVal; /* Temporary variables for input, output */ + int32_t index; /* Index variable */ + q31_t a, b; /* Two nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + sinVal = (q63_t) (0x80000000 - fract) * a >> 32; + sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) fract * b)) >> 32); + + /* Return output value */ + return (sinVal << 1); +} + +/** + @} end of sin group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c b/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c new file mode 100644 index 0000000..fab0a32 --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q15.c + * Description: Q15 square root function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup SQRT + @{ + */ + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ + +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut) +{ + q31_t bits_val1; + q15_t number, temp1, var1, signBits1, half; + float32_t temp_float1; + union + { + q31_t fracval; + float32_t floatval; + } tempconv; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 17; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /* Convert to float */ + temp_float1 = number * 3.051757812500000e-005f; + /* Store as integer */ + tempconv.floatval = temp_float1; + bits_val1 = tempconv.fracval; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */ + /* Store as float */ + tempconv.fracval = bits_val1; + temp_float1 = tempconv.floatval; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 16384); + + /* 1st iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 2nd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 3rd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1; + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + @} end of SQRT group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c b/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c new file mode 100644 index 0000000..9889b13 --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q31.c + * Description: Q31 square root function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup SQRT + @{ + */ + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ + +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut) +{ + q31_t bits_val1; + q31_t number, temp1, var1, signBits1, half; + float32_t temp_float1; + union + { + q31_t fracval; + float32_t floatval; + } tempconv; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 1; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /* Convert to float */ + temp_float1 = number * 4.6566128731e-010f; + /* Store as integer */ + tempconv.floatval = temp_float1; + bits_val1 = tempconv.fracval; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */ + /* Store as float */ + tempconv.fracval = bits_val1; + temp_float1 = tempconv.floatval; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 1073741824); + + /* 1st iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + /* 2nd iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + /* 3rd iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1; + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + @} end of SQRT group + */ diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f32.c b/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f32.c new file mode 100755 index 0000000..197890e --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f32.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f32.c + * Description: Fast vectorized log + * + * $Date: 15. Octoboer 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM) || defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +void arm_vexp_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vexpq_f32(src); + vst1q(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q_f32(pSrc); + dst = vexpq_f32(src); + vst1q_f32(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else + blkCnt = blockSize; +#endif +#endif + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = expf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} diff --git a/CMSIS/DSP/Source/FastMathFunctions/arm_vlog_f32.c b/CMSIS/DSP/Source/FastMathFunctions/arm_vlog_f32.c new file mode 100755 index 0000000..1ad6094 --- /dev/null +++ b/CMSIS/DSP/Source/FastMathFunctions/arm_vlog_f32.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f32.c + * Description: Fast vectorized log + * + * $Date: 15. Octoboer 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM) || defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +void arm_vlog_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vlogq_f32(src); + vst1q(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q_f32(pSrc); + dst = vlogq_f32(src); + vst1q_f32(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else + blkCnt = blockSize; +#endif +#endif + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = logf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} diff --git a/CMSIS/DSP/Source/FilteringFunctions/CMakeLists.txt b/CMSIS/DSP/Source/FilteringFunctions/CMakeLists.txt new file mode 100644 index 0000000..d5d0acb --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/CMakeLists.txt @@ -0,0 +1,131 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPFiltering) + +include(configLib) +include(configDsp) + +add_library(CMSISDSPFiltering STATIC) + +include(interpol) +interpol(CMSISDSPFiltering) + +configLib(CMSISDSPFiltering ${ROOT}) +configDsp(CMSISDSPFiltering ${ROOT}) + +if (CONFIGTABLE AND ALLFAST) +target_compile_definitions(CMSISDSPFiltering PUBLIC ARM_ALL_FAST_TABLES) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_LMS_NORM_Q31) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_LMS_NORM_Q15) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_q15.c) +endif() + +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_32x64_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_32x64_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_f64.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_init_f64.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_stereo_df2T_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_stereo_df2T_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_opt_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_opt_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_opt_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_q31.c) + + +### Includes +target_include_directories(CMSISDSPFiltering PUBLIC "${DSP}/Include") + + + diff --git a/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c b/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c new file mode 100644 index 0000000..7ce0cdb --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c @@ -0,0 +1,127 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: FilteringFunctions.c + * Description: Combination of all filtering function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_biquad_cascade_df1_32x64_init_q31.c" +#include "arm_biquad_cascade_df1_32x64_q31.c" +#include "arm_biquad_cascade_df1_f32.c" +#include "arm_biquad_cascade_df1_fast_q15.c" +#include "arm_biquad_cascade_df1_fast_q31.c" +#include "arm_biquad_cascade_df1_init_f32.c" +#include "arm_biquad_cascade_df1_init_q15.c" +#include "arm_biquad_cascade_df1_init_q31.c" +#include "arm_biquad_cascade_df1_q15.c" +#include "arm_biquad_cascade_df1_q31.c" +#include "arm_biquad_cascade_df2T_f32.c" +#include "arm_biquad_cascade_df2T_f64.c" +#include "arm_biquad_cascade_df2T_init_f32.c" +#include "arm_biquad_cascade_df2T_init_f64.c" +#include "arm_biquad_cascade_stereo_df2T_f32.c" +#include "arm_biquad_cascade_stereo_df2T_init_f32.c" +#include "arm_conv_f32.c" +#include "arm_conv_fast_opt_q15.c" +#include "arm_conv_fast_q15.c" +#include "arm_conv_fast_q31.c" +#include "arm_conv_opt_q15.c" +#include "arm_conv_opt_q7.c" +#include "arm_conv_partial_f32.c" +#include "arm_conv_partial_fast_opt_q15.c" +#include "arm_conv_partial_fast_q15.c" +#include "arm_conv_partial_fast_q31.c" +#include "arm_conv_partial_opt_q15.c" +#include "arm_conv_partial_opt_q7.c" +#include "arm_conv_partial_q15.c" +#include "arm_conv_partial_q31.c" +#include "arm_conv_partial_q7.c" +#include "arm_conv_q15.c" +#include "arm_conv_q31.c" +#include "arm_conv_q7.c" +#include "arm_correlate_f32.c" +#include "arm_correlate_fast_opt_q15.c" +#include "arm_correlate_fast_q15.c" +#include "arm_correlate_fast_q31.c" +#include "arm_correlate_opt_q15.c" +#include "arm_correlate_opt_q7.c" +#include "arm_correlate_q15.c" +#include "arm_correlate_q31.c" +#include "arm_correlate_q7.c" +#include "arm_fir_decimate_f32.c" +#include "arm_fir_decimate_fast_q15.c" +#include "arm_fir_decimate_fast_q31.c" +#include "arm_fir_decimate_init_f32.c" +#include "arm_fir_decimate_init_q15.c" +#include "arm_fir_decimate_init_q31.c" +#include "arm_fir_decimate_q15.c" +#include "arm_fir_decimate_q31.c" +#include "arm_fir_f32.c" +#include "arm_fir_fast_q15.c" +#include "arm_fir_fast_q31.c" +#include "arm_fir_init_f32.c" +#include "arm_fir_init_q15.c" +#include "arm_fir_init_q31.c" +#include "arm_fir_init_q7.c" +#include "arm_fir_interpolate_f32.c" +#include "arm_fir_interpolate_init_f32.c" +#include "arm_fir_interpolate_init_q15.c" +#include "arm_fir_interpolate_init_q31.c" +#include "arm_fir_interpolate_q15.c" +#include "arm_fir_interpolate_q31.c" +#include "arm_fir_lattice_f32.c" +#include "arm_fir_lattice_init_f32.c" +#include "arm_fir_lattice_init_q15.c" +#include "arm_fir_lattice_init_q31.c" +#include "arm_fir_lattice_q15.c" +#include "arm_fir_lattice_q31.c" +#include "arm_fir_q15.c" +#include "arm_fir_q31.c" +#include "arm_fir_q7.c" +#include "arm_fir_sparse_f32.c" +#include "arm_fir_sparse_init_f32.c" +#include "arm_fir_sparse_init_q15.c" +#include "arm_fir_sparse_init_q31.c" +#include "arm_fir_sparse_init_q7.c" +#include "arm_fir_sparse_q15.c" +#include "arm_fir_sparse_q31.c" +#include "arm_fir_sparse_q7.c" +#include "arm_iir_lattice_f32.c" +#include "arm_iir_lattice_init_f32.c" +#include "arm_iir_lattice_init_q15.c" +#include "arm_iir_lattice_init_q31.c" +#include "arm_iir_lattice_q15.c" +#include "arm_iir_lattice_q31.c" +#include "arm_lms_f32.c" +#include "arm_lms_init_f32.c" +#include "arm_lms_init_q15.c" +#include "arm_lms_init_q31.c" +#include "arm_lms_norm_f32.c" +#include "arm_lms_norm_init_f32.c" +#include "arm_lms_norm_init_q15.c" +#include "arm_lms_norm_init_q31.c" +#include "arm_lms_norm_q15.c" +#include "arm_lms_norm_q31.c" +#include "arm_lms_q15.c" +#include "arm_lms_q31.c" diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c new file mode 100644 index 0000000..ac2313f --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c @@ -0,0 +1,94 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_32x64_init_q31.c + * Description: High precision Q31 Biquad cascade filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1_32x64 + @{ + */ + +/** + @brief Initialization function for the Q31 Biquad cascade 32x64 filter. + @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure + @param[in] numStages number of 2nd order stages in the filter + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array
pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState points to state variables array and size of each state variable is 1.63 format.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the state array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cas_df1_32x64_init_q31(
+ arm_biquad_cas_df1_32x64_ins_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q63_t * pState,
+ uint8_t postShift)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign postShift to be applied to the output */
+ S->postShift = postShift;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q63_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF1_32x64 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
new file mode 100644
index 0000000..2b70c2a
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
@@ -0,0 +1,694 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_32x64_q31.c
+ * Description: High precision Q31 Biquad cascade filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter
+
+ This function implements a high precision Biquad cascade filter which operates on
+ Q31 data values. The filter coefficients are in 1.31 format and the state variables
+ are in 1.63 format. The double precision state variables reduce quantization noise
+ in the filter and provide a cleaner output.
+ These filters are particularly useful when implementing filters in which the
+ singularities are close to the unit circle. This is common for low pass or high
+ pass filters with very low cutoff frequencies.
+
+ The function operates on blocks of input and output data
+ and each call to the function processes blockSize samples through
+ the filter. pSrc and pDst points to input and output arrays
+ containing blockSize Q31 values.
+
+ @par Algorithm
+ Each Biquad stage implements a second order filter using the difference equation:
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] ++ A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + \image html Biquad.gif "Single Biquad filter stage" + Coefficients
b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients.
+ Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.
+ Pay careful attention to the sign of the feedback coefficients.
+ Some design tools use the difference equation
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2] ++ In this case the feedback coefficients
a1 and a2 must be negated when used with the CMSIS DSP Library.
+ @par
+ Higher order filters are realized as a cascade of second order sections.
+ numStages refers to the number of second order stages used.
+ For example, an 8th order filter would be realized with numStages=4 second order stages.
+ \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
+ A 9th order filter would be realized with numStages=5 second order stages
+ with the coefficients for one of the stages configured as a first order filter
+ (b2=0 and a2=0).
+ @par
+ The pState points to state variables array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2] and each state variable in 1.63 format to improve precision.
+ The state variables are arranged in the array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ @par
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values of data in 1.63 format.
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+
+ @par Init Function
+ There is also an associated initialization function which performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero.
+
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ For example, to statically initialize the filter instance structure use
+
+ arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};
+
+ where numStages is the number of Biquad stages in the filter;
+ pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer;
+ postShift shift to be applied which is described in detail below.
+ @par Fixed-Point Behavior
+ Care must be taken while using Biquad Cascade 32x64 filter function.
+ Following issues must be considered:
+ - Scaling of coefficients
+ - Filter gain
+ - Overflow and saturation
+
+ @par
+ Filter coefficients are represented as fractional values and
+ restricted to lie in the range [-1 +1).
+ The processing function has an additional scaling parameter postShift
+ which allows the filter coefficients to exceed the range [+1 -1).
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
+ This essentially scales the filter coefficients by 2^postShift.
+ For example, to realize the coefficients
+
+ {1.5, -0.8, 1.2, 1.6, -0.9}
+
+ set the Coefficient array to:
+
+ {0.75, -0.4, 0.6, 0.8, -0.45}
+
+ and set postShift=1
+ @par
+ The second thing to keep in mind is the gain through the filter.
+ The frequency response of a Biquad filter is a function of its coefficients.
+ It is possible for the gain through the filter to exceed 1.0 meaning that the
+ filter increases the amplitude of certain frequencies.
+ This means that an input signal with amplitude < 1.0 may result in an output > 1.0
+ and these are saturated or overflowed based on the implementation of the filter.
+ To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0
+ or the input signal must be scaled down so that the combination of input and filter are never overflowed.
+ @par
+ The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version.
+ This is described in the function specific documentation below.
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1_32x64
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 Biquad cascade 32x64 filter.
+ @param[in] S points to an instance of the high precision Q31 Biquad cascade filter
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Details
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).
+ After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to
+ 1.31 format by discarding the low 32 bits.
+ @par
+ Two related functions are provided in the CMSIS DSP library.
+ - \ref arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.
+ - \ref arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ q63_t *pState = S->pState; /* state pointer initialization */
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q31_t Xn1, Xn2; /* Input Filter state variables */
+ q63_t Yn1, Yn2; /* Output Filter state variables */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ q31x4_t vecCoef, vecIn;
+ q63_t acc;
+
+ do
+ {
+ uint32_t i;
+ /*
+ * Reading the coefficients
+ */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ vecCoef[0] = 0;
+ vecCoef[1] = b2;
+ vecCoef[2] = b1;
+ vecCoef[3] = b0;
+ /*
+ * Reading the state values
+ */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ /*
+ * append history with initial samples
+ */
+ q31_t hist[6];
+ hist[0] = 0;
+ hist[1] = Xn2;
+ hist[2] = Xn1;
+ hist[3] = pIn[0];
+ hist[4] = pIn[1];
+ hist[5] = pIn[2];
+
+ const q31_t *pIn1 = hist;
+ q31x4_t vecIn0 = *(q31x4_t *) & pIn[0];
+ q31x4_t vecIn1 = *(q31x4_t *) & pIn[1];
+ q31x4_t vecIn2 = *(q31x4_t *) & pIn[2];
+
+ i = 3;
+ do
+ {
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ vecIn = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = vmlaldavaq(Yn1, vecIn, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ /*
+ * Store the output in the destination buffer in 1.31 format.
+ */
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ }
+ while (--i);
+
+ sample = blockSize - 3;
+ pIn1 = pIn + 3;
+
+ i = sample / 4;
+ while (i > 0U)
+ {
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ vecIn = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ /*
+ * Store the output in the destination buffer in 1.31 format.
+ */
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef);
+ vecIn0 = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn2, vecCoef);
+ vecIn1 = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn, vecCoef);
+ vecIn2 = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ /*
+ * save input state
+ */
+ Xn2 = vecIn[2];
+ Xn1 = vecIn[3];
+
+ int loopRemainder = blockSize - 3 - 4 * ((blockSize - 3) / 4);
+ if (loopRemainder == 1)
+ {
+ /*
+ * remainder
+ */
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * save input state
+ */
+ Xn2 = vecIn0[2];
+ Xn1 = vecIn0[3];
+
+ }
+ else if (loopRemainder == 2)
+ {
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * save input state
+ */
+ Xn2 = vecIn1[2];
+ Xn1 = vecIn1[3];
+
+ }
+ else if (loopRemainder == 3)
+ {
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn2, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * save input state
+ */
+ Xn2 = vecIn2[2];
+ Xn1 = vecIn2[3];
+
+ }
+
+ /*
+ * The first stage output is given as input to the second stage.
+ */
+ pIn = pDst;
+ /*
+ * Reset to destination buffer working pointer
+ */
+ pOut = pDst;
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ *pState++ = (q63_t) Xn1;
+ *pState++ = (q63_t) Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+ }
+ while (--stage);
+}
+#else
+void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ q63_t *pState = S->pState; /* state pointer initialization */
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q63_t acc; /* accumulator */
+ q31_t Xn1, Xn2; /* Input Filter state variables */
+ q63_t Yn1, Yn2; /* Output Filter state variables */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn; /* temporary input */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ q31_t acc_l, acc_h; /* temporary output */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the state values */
+ Xn1 = (q31_t) (pState[0]);
+ Xn2 = (q31_t) (pState[1]);
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output value that is being computed and stored in destination buffer
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* The result is converted to 1.63 , Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *pOut = acc_h;
+
+ /* Read the second input into Xn2, to reuse the value */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc += b1 * x[n-1] */
+ acc = (q63_t) Xn * b1;
+
+ /* acc = b0 * x[n] */
+ acc += (q63_t) Xn2 * b0;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn1 * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn2, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn1, a2);
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Read the third input into Xn1, to reuse the value */
+ Xn1 = *pIn++;
+
+ /* The result is converted to 1.31 */
+ /* Store the output in the destination buffer. */
+ *(pOut + 1U) = acc_h;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn1 * b0;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn2 * b1;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* The result is converted to 1.63, Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *(pOut + 2U) = acc_h;
+
+ /* Read the fourth input into Xn, to reuse the value */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn2, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn1, a2);
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *(pOut + 3U) = acc_h;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* update output pointer */
+ pOut += 4U;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *pOut++ = acc_h;
+ /* Yn1 = acc << shift; */
+
+ /* Store the output in the destination buffer in 1.31 format. */
+/* *pOut++ = (q31_t) (acc >> (32 - shift)); */
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage output is given as input to the second stage. */
+ pIn = pDst;
+
+ /* Reset to destination buffer working pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = (q63_t) Xn1;
+ *pState++ = (q63_t) Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BiquadCascadeDF1_32x64 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
new file mode 100644
index 0000000..0abc165
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
@@ -0,0 +1,684 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_f32.c
+ * Description: Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure
+
+ This set of functions implements arbitrary order recursive (IIR) filters.
+ The filters are implemented as a cascade of second order Biquad sections.
+ The functions support Q15, Q31 and floating-point data types.
+ Fast version of Q15 and Q31 also available.
+
+ The functions operate on blocks of input and output data and each call to the function
+ processes blockSize samples through the filter.
+ pSrc points to the array of input data and
+ pDst points to the array of output data.
+ Both arrays contain blockSize values.
+
+ @par Algorithm
+ Each Biquad stage implements a second order filter using the difference equation:
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] ++ A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + \image html Biquad.gif "Single Biquad filter stage" + Coefficients
b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients.
+ Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.
+ Pay careful attention to the sign of the feedback coefficients.
+ Some design tools use the difference equation
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2] ++ In this case the feedback coefficients
a1 and a2
+ must be negated when used with the CMSIS DSP Library.
+
+ @par
+ Higher order filters are realized as a cascade of second order sections.
+ numStages refers to the number of second order stages used.
+ For example, an 8th order filter would be realized with numStages=4 second order stages.
+ \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
+ A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).
+
+ @par
+ The pState points to state variables array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+
+ @par
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Init Function
+ There is also an associated initialization function for each data type.
+ The initialization function performs following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};
+ arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};
+ arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};
+
+ where numStages is the number of Biquad stages in the filter;
+ pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer;
+ postShift shift to be applied.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions.
+ Following issues must be considered:
+ - Scaling of coefficients
+ - Filter gain
+ - Overflow and saturation
+
+ @par Scaling of coefficients
+ Filter coefficients are represented as fractional values and
+ coefficients are restricted to lie in the range [-1 +1).
+ The fixed-point functions have an additional scaling parameter postShift
+ which allow the filter coefficients to exceed the range [+1 -1).
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
+ This essentially scales the filter coefficients by 2^postShift.
+ For example, to realize the coefficients
+
+ {1.5, -0.8, 1.2, 1.6, -0.9}
+
+ set the pCoeffs array to:
+
+ {0.75, -0.4, 0.6, 0.8, -0.45}
+
+ and set postShift=1
+
+ @par Filter gain
+ The frequency response of a Biquad filter is a function of its coefficients.
+ It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.
+ This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.
+ To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.
+
+ @par Overflow and saturation
+ For Q15 and Q31 versions, it is described separately as part of the function specific documentation below.
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point Biquad cascade filter.
+ @param[in] S points to an instance of the floating-point Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* pState pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ float32_t lastX, lastY; /* X,Y history for tail handling */
+ float32_t X0, X1, X2, X3; /* temporary input */
+ f32x4_t coeffs;
+ f32x4_t accVec; /* accumultor vector */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+
+ do
+ {
+ /*
+ * Reading the pState values
+ */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ sample = blockSize >> 2U;
+
+ /*
+ * First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ * second loop below computes the remaining 1 to 3 samples.
+ */
+ while (sample > 0U)
+ {
+ X0 = *pIn++;
+ X1 = *pIn++;
+ X2 = *pIn++;
+ X3 = *pIn++;
+
+ coeffs = vld1q(pCoeffs);
+ accVec = vmulq(coeffs, X3);
+
+ coeffs = vld1q(&pCoeffs[4]);
+ accVec = vfmaq(accVec, coeffs, X2);
+
+ coeffs = vld1q(&pCoeffs[8]);
+ accVec = vfmaq(accVec, coeffs, X1);
+
+ coeffs = vld1q(&pCoeffs[12]);
+ accVec = vfmaq(accVec, coeffs, X0);
+
+ coeffs = vld1q(&pCoeffs[16]);
+ accVec = vfmaq(accVec, coeffs, Xn1);
+
+ coeffs = vld1q(&pCoeffs[20]);
+ accVec = vfmaq(accVec, coeffs, Xn2);
+
+ coeffs = vld1q(&pCoeffs[24]);
+ accVec = vfmaq(accVec, coeffs, Yn1);
+
+ coeffs = vld1q(&pCoeffs[28]);
+ accVec = vfmaq(accVec, coeffs, Yn2);
+ /*
+ * Store the result in the accumulator in the destination buffer.
+ */
+ vst1q(pOut, accVec);
+ pOut += 4;
+
+ /*
+ * update recurrence
+ */
+ Xn1 = X3;
+ Xn2 = X2;
+ Yn1 = vgetq_lane(accVec, 3);
+ Yn2 = vgetq_lane(accVec, 2);
+ /*
+ * decrement the loop counter
+ */
+ sample--;
+ }
+
+ /*
+ * If the blockSize is not a multiple of 4,
+ * compute any remaining output samples here.
+ */
+ sample = blockSize & 0x3U;
+ if (sample)
+ {
+ /* save previous X, Y for modulo 1 length case */
+ lastX = X3;
+ lastY = Yn1;
+
+ X0 = *pIn++;
+ X1 = *pIn++;
+ X2 = *pIn++;
+ X3 = *pIn++;
+
+ coeffs = vld1q(pCoeffs);
+ accVec = vmulq(coeffs, X3);
+
+ coeffs = vld1q(&pCoeffs[4]);
+ accVec = vfmaq(accVec, coeffs, X2);
+
+ coeffs = vld1q(&pCoeffs[8]);
+ accVec = vfmaq(accVec, coeffs, X1);
+
+ coeffs = vld1q(&pCoeffs[12]);
+ accVec = vfmaq(accVec, coeffs, X0);
+
+ coeffs = vld1q(&pCoeffs[16]);
+ accVec = vfmaq(accVec, coeffs, Xn1);
+
+ coeffs = vld1q(&pCoeffs[20]);
+ accVec = vfmaq(accVec, coeffs, Xn2);
+
+ coeffs = vld1q(&pCoeffs[24]);
+ accVec = vfmaq(accVec, coeffs, Yn1);
+
+ coeffs = vld1q(&pCoeffs[28]);
+ accVec = vfmaq(accVec, coeffs, Yn2);
+
+ if (sample == 1)
+ {
+ *pOut++ = vgetq_lane(accVec, 0);
+ Xn1 = X0;
+ Xn2 = lastX;
+ Yn1 = vgetq_lane(accVec, 0);
+ Yn2 = lastY;
+ }
+ else if (sample == 2)
+ {
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ Xn1 = X1;
+ Xn2 = X0;
+ Yn1 = vgetq_lane(accVec, 1);
+ Yn2 = vgetq_lane(accVec, 0);
+ }
+ else
+ {
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ Xn1 = X2;
+ Xn2 = X1;
+ Yn1 = vgetq_lane(accVec, 2);
+ Yn2 = vgetq_lane(accVec, 1);
+ }
+ }
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ pCoeffs += sizeof(arm_biquad_mod_coef_f32) / sizeof(float32_t);
+ /*
+ * The first stage goes from the input buffer to the output buffer.
+ * Subsequent numStages occur in-place in the output buffer
+ */
+ pIn = pDst;
+ /*
+ * Reset the output pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+#else
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* pState pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t acc; /* Simulates the accumulator */
+
+ uint32_t sample, stage = S->numStages; /* loop counters */
+
+ float32x4_t Xn;
+ float32x2_t Yn;
+ float32x2_t a;
+ float32x4_t b;
+
+ float32x4_t x,tmp;
+ float32x2_t t;
+ float32x2x2_t y;
+
+ float32_t Xns;
+
+ while (stage > 0U)
+ {
+ /* Reading the coefficients */
+ Xn = vdupq_n_f32(0.0f);
+
+ Xn = vsetq_lane_f32(pState[0],Xn,2);
+ Xn = vsetq_lane_f32(pState[1],Xn,3);
+ Yn = vset_lane_f32(pState[2],Yn,0);
+ Yn = vset_lane_f32(pState[3],Yn,1);
+
+ b = vld1q_f32(pCoeffs);
+ b = vrev64q_f32(b);
+ b = vcombine_f32(vget_high_f32(b), vget_low_f32(b));
+
+ a = vld1_f32(pCoeffs + 3);
+ a = vrev64_f32(a);
+ b = vsetq_lane_f32(0.0f,b,0);
+ pCoeffs += 5;
+
+ /* Reading the pState values */
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* The variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first 4 inputs */
+ x = vld1q_f32(pIn);
+
+ pIn += 4;
+
+ tmp = vextq_f32(Xn, x, 1);
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ tmp = vextq_f32(Xn, x, 2);
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ y.val[0] = Yn;
+
+ tmp = vextq_f32(Xn, x, 3);
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ Xn = x;
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(Xn));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(Xn));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ y.val[1] = Yn;
+
+ tmp = vcombine_f32(y.val[0], y.val[1]);
+
+ /* Store the 4 outputs and increment the pointer */
+ vst1q_f32(pOut, tmp);
+ pOut += 4;
+
+ /* Decrement the loop counter */
+ sample--;
+ }
+
+
+ /* If the block size is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ sample = blockSize & 0x3U;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xns = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = (vgetq_lane_f32(b, 1) * vgetq_lane_f32(Xn, 2))
+ + (vgetq_lane_f32(b, 2) * vgetq_lane_f32(Xn, 3))
+ + (vgetq_lane_f32(b, 3) * Xns)
+ + (vget_lane_f32(a, 0) * vget_lane_f32(Yn, 0))
+ + (vget_lane_f32(a, 1) * vget_lane_f32(Yn, 1));
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn = vsetq_lane_f32(vgetq_lane_f32(Xn, 3),Xn,2);
+ Xn = vsetq_lane_f32(Xns,Xn,3);
+ Yn = vset_lane_f32(vget_lane_f32(Yn, 1),Yn,0);
+ Yn = vset_lane_f32(acc,Yn,1);
+
+ /* Decrement the loop counter */
+ sample--;
+
+ }
+
+ vst1q_f32(pState,vcombine_f32((vget_high_f32(Xn)),(Yn)));
+ pState += 4;
+ /* Store the updated state variables back into the pState array */
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset the output pointer */
+ pOut = pDst;
+
+ /* Decrement the loop counter */
+ stage--;
+ }
+}
+
+#else
+void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* Source pointer */
+ float32_t *pOut = pDst; /* Destination pointer */
+ float32_t *pState = S->pState; /* pState pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t acc; /* Accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ float32_t Xn; /* Temporary input */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the second input */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the third input */
+ Xn1 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the forth input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset output pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
new file mode 100644
index 0000000..1a568d7
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
@@ -0,0 +1,250 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_fast_q15.c
+ * Description: Fast processing function for the Q15 Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 Biquad cascade filter (fast variant).
+ @param[in] S points to an instance of the Q15 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around and distorts the result.
+ In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25).
+ The 2.30 accumulator is then shifted by postShift bits and the result truncated to 1.15 format by discarding the low 16 bits.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_q15() for a slower implementation of this function
+ which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure.
+ Use the function \ref arm_biquad_cascade_df1_init_q15() to initialize the filter structure.
+ */
+
+void arm_biquad_cascade_df1_fast_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ const q15_t *pIn = pSrc; /* Source pointer */
+ q15_t *pOut = pDst; /* Destination pointer */
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t acc; /* Accumulator */
+ q31_t in; /* Temporary variable to hold input value */
+ q31_t out; /* Temporary variable to hold output value */
+ q31_t b0; /* Temporary variable to hold bo value */
+ q31_t b1, a1; /* Filter coefficients */
+ q31_t state_in, state_out; /* Filter state variables */
+ int32_t shift = (int32_t) (15 - S->postShift); /* Post shift */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Read the b0 and 0 coefficients using SIMD */
+ b0 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the b1 and b2 coefficients using SIMD */
+ b1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the a1 and a2 coefficients using SIMD */
+ a1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the input state values from the state buffer: x[n-1], x[n-2] */
+ state_in = read_q15x2_ia (&pState);
+
+ /* Read the output state values from the state buffer: y[n-1], y[n-2] */
+ state_out = read_q15x2_da (&pState);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 2 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 2 outputs at a time */
+ sample = blockSize >> 1U;
+
+ while (sample > 0U)
+ {
+
+ /* Read the input */
+ in = read_q15x2_ia ((q15_t **) &pIn);
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUAD(b0, in);
+ /* acc = b1 * x[n-1] + acc += b2 * x[n-2] + out */
+ acc = __SMLAD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */
+ acc = __SMLAD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+ out = __SSAT((acc >> shift), 16);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
+ state_out = __PKHBT(state_out >> 16, (out), 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUADX(b0, in);
+ /* acc0 = b1 * x[n-1] , acc0 += b2 * x[n-2] + out */
+ acc = __SMLAD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */
+ acc = __SMLAD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+ out = __SSAT((acc >> shift), 16);
+
+ /* Store the output in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in >> 16, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = (blockSize & 0x1U);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ in = *pIn++;
+
+ /* out = b0 * x[n] + 0 * 0 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ out = __SMUAD(b0, in);
+#else
+ out = __SMUADX(b0, in);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* acc = b1 * x[n-1], acc += b2 * x[n-2] + out */
+ acc = __SMLAD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */
+ acc = __SMLAD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+ out = __SSAT((acc >> shift), 16);
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = (q15_t) out;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent (numStages - 1) occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset the output pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the state array */
+ write_q15x2_ia(&pState, state_in);
+ write_q15x2_ia(&pState, state_out);
+
+ /* Decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
new file mode 100644
index 0000000..586296b
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
@@ -0,0 +1,296 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_fast_q31.c
+ * Description: Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 Biquad cascade filter (fast variant).
+ @param[in] S points to an instance of the Q31 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are added to a 2.30 accumulator.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function
+ arm_biquad_cascade_df1_init_q31() to initialize filter structure.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_q31() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure.
+ Use the function \ref arm_biquad_cascade_df1_init_q31() to initialize the filter structure.
+ */
+
+void arm_biquad_cascade_df1_fast_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* Source pointer */
+ q31_t *pOut = pDst; /* Destination pointer */
+ q31_t *pState = S->pState; /* pState pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t acc = 0; /* Accumulator */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ q31_t Xn; /* Temporary input */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variables acc ... acc3 hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/
+ mult_32x32_keep32_R(acc, b1, Xn1);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b0, Xn);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn2);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn1);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+ /* The result is converted to 1.31 , Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Read the second input */
+ Xn2 = *(pIn + 1U);
+
+ /* Store the output in the destination buffer. */
+ *pOut = Yn2;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn2);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn1);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn2);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Read the third input */
+ Xn1 = *(pIn + 2U);
+
+ /* Store the output in the destination buffer. */
+ *(pOut + 1U) = Yn1;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn1);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn2);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn1);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+ /* The result is converted to 1.31, Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Read the forth input */
+ Xn = *(pIn + 3U);
+
+ /* Store the output in the destination buffer. */
+ *(pOut + 2U) = Yn2;
+ pIn += 4U;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn);
+ /* acc += b1 * x[n-1] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn1);
+ /* acc += b[2] * x[n-2] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn2);
+ /* acc += a1 * y[n-1] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn2);
+ /* acc += a2 * y[n-2] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ Xn2 = Xn1;
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Xn1 = Xn */
+ Xn1 = Xn;
+
+ /* Store the output in the destination buffer. */
+ *(pOut + 3U) = Yn1;
+ pOut += 4U;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = (blockSize & 0x3U);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn1);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn2);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn1);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+ /* The result is converted to 1.31 */
+ acc = acc << shift;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = acc;
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent stages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset to destination pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
new file mode 100644
index 0000000..684fa36
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_f32.c
+ * Description: Floating-point Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point Biquad cascade filter.
+ @param[in,out] S points to an instance of the floating-point Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par For MVE code, an additional buffer of modified coefficients is required.
+ Its size is numStages and each element of this buffer has type arm_biquad_mod_coef_f32.
+ So, its total size is 32*numStages float32_t elements.
+
+ The initialization function which must be used is arm_biquad_cascade_df1_mve_init_f32.
+ */
+
+
+void arm_biquad_cascade_df1_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+static void generateCoefsFastBiquadF32(float32_t b0, float32_t b1, float32_t b2, float32_t a1, float32_t a2,
+ arm_biquad_mod_coef_f32 * newCoef)
+{
+ float32_t coeffs[4][8] = {
+ {0, 0, 0, b0, b1, b2, a1, a2},
+ {0, 0, b0, b1, b2, 0, a2, 0},
+ {0, b0, b1, b2, 0, 0, 0, 0},
+ {b0, b1, b2, 0, 0, 0, 0, 0},
+ };
+
+ for (int i = 0; i < 8; i++)
+ {
+ coeffs[1][i] += a1 * coeffs[0][i];
+ coeffs[2][i] += a1 * coeffs[1][i] + a2 * coeffs[0][i];
+ coeffs[3][i] += a1 * coeffs[2][i] + a2 * coeffs[1][i];
+
+ /*
+ * transpose
+ */
+ newCoef->coeffs[i][0] = (float32_t) coeffs[0][i];
+ newCoef->coeffs[i][1] = (float32_t) coeffs[1][i];
+ newCoef->coeffs[i][2] = (float32_t) coeffs[2][i];
+ newCoef->coeffs[i][3] = (float32_t) coeffs[3][i];
+ }
+}
+
+void arm_biquad_cascade_df1_mve_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ arm_biquad_mod_coef_f32 * pCoeffsMod,
+ float32_t * pState)
+{
+ arm_biquad_cascade_df1_init_f32(S, numStages, (float32_t *)pCoeffsMod, pState);
+
+ /* Generate SIMD friendly modified coefs */
+ for (int i = 0; i < numStages; i++)
+ {
+ generateCoefsFastBiquadF32(pCoeffs[0], pCoeffs[1], pCoeffs[2], pCoeffs[3], pCoeffs[4], pCoeffsMod);
+ pCoeffs += 5;
+ pCoeffsMod++;
+ }
+}
+#endif
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
new file mode 100644
index 0000000..c2e542c
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_q15.c
+ * Description: Q15 Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 Biquad cascade filter.
+ @param[in,out] S points to an instance of the Q15 Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @param[in] postShift Shift to be applied to the accumulator result. Varies according to the coefficients format
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 6*numStages values.
+ The zero coefficient between b1 and b2 facilities use of 16-bit SIMD instructions on the Cortex-M4.
+ @par
+ The state variables are stored in the array pState.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_q15(
+ arm_biquad_casd_df1_inst_q15 * S,
+ uint8_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int8_t postShift)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign postShift to be applied to the output */
+ S->postShift = postShift;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
new file mode 100644
index 0000000..8637889
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_q31.c
+ * Description: Q31 Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 Biquad cascade filter.
+ @param[in,out] S points to an instance of the Q31 Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState points to state variables array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_q31(
+ arm_biquad_casd_df1_inst_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int8_t postShift)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign postShift to be applied to the output */
+ S->postShift = postShift;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
new file mode 100644
index 0000000..4149aac
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
@@ -0,0 +1,618 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_q15.c
+ * Description: Processing function for the Q15 Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 Biquad cascade filter.
+ @param[in] S points to an instance of the Q15 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the location where the output result is written
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ The accumulator is then shifted by postShift bits to truncate the result to 1.15 format by discarding the low 16 bits.
+ Finally, the result is saturated to 1.15 format.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ const q15_t *pIn = pSrc; /* input pointer initialization */
+ q15_t *pOut = pDst; /* output pointer initialization */
+ int shift;
+ uint32_t sample, stages = S->numStages; /* loop counters */
+ int postShift = S->postShift;
+ q15x8_t bCoeffs0, bCoeffs1, bCoeffs2, bCoeffs3; /* Coefficients vector */
+ q15_t *pState = S->pState; /* pState pointer initialization */
+ q15x8_t inVec0;
+ int64_t acc;
+ const q15_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q31_t out, out1;
+
+ shift = (15 - postShift) - 32;
+
+ do {
+ q15_t a2 = pCoeffs[5];
+ q15_t a1 = pCoeffs[4];
+
+ bCoeffs0 = vdupq_n_s16(0);
+ bCoeffs0[0] = pCoeffs[3]; // b2
+ bCoeffs0[1] = pCoeffs[2]; // b1
+ bCoeffs0[2] = pCoeffs[0]; // b0
+
+ uint32_t zero = 0;
+ bCoeffs1 = bCoeffs0;
+ bCoeffs1 = vshlcq_s16(bCoeffs1, &zero, 16);
+
+ bCoeffs2 = bCoeffs1;
+ bCoeffs2 = vshlcq_s16(bCoeffs2, &zero, 16);
+
+ bCoeffs3 = bCoeffs2;
+ bCoeffs3 = vshlcq_s16(bCoeffs3, &zero, 16);
+
+ bCoeffs0[6] = a2;
+ bCoeffs0[7] = a1;
+ bCoeffs1[7] = a2;
+ bCoeffs1[6] = a1;
+
+ bCoeffs2 =
+ vsetq_lane_s32(vgetq_lane_s32((q31x4_t) bCoeffs0, 3), (q31x4_t) bCoeffs2, 3);
+ bCoeffs3 =
+ vsetq_lane_s32(vgetq_lane_s32((q31x4_t) bCoeffs1, 3), (q31x4_t) bCoeffs3, 3);
+
+
+ /* 2 first elements are garbage, will be updated with history */
+ inVec0 = vld1q(pIn - 2);
+ pIn += 2;
+
+ inVec0[0] = pState[1];
+ inVec0[1] = pState[0];
+ inVec0[6] = pState[3];
+ inVec0[7] = pState[2];
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0[6] = out1;
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0[7] = out;
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ acc = vmlaldavq(bCoeffs2, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+
+ inVec0[6] = out1;
+ acc = vmlaldavq(bCoeffs3, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ /*
+ * main loop
+ */
+ sample = (blockSize - 4) >> 2U;
+ /* preload (efficient scheduling) */
+ inVec0 = vld1q(pIn);
+ pIn += 4;
+
+ /*
+ * Compute 4 outputs at a time.
+ */
+ while (sample > 0U) {
+
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ /* store */
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ /*
+ * in { x0 x1 x2 x3 x4 x5 yn2 yn1 }
+ * x
+ * bCoeffs0 { b2 b1 b0 0 0 0 a2 a1 }
+ *
+ */
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ /* shift + saturate to 16 bit */
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ /*
+ * in { x0 x1 x2 x3 x4 x5 y0 yn1 }
+ * x
+ * bCoeffs1 { 0 b2 b1 b0 0 0 a1 a2 }
+ */
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+
+ inVec0[7] = out;
+ /*
+ * in { x0 x1 x2 x3 x4 x5 y0 yp1 }
+ * x
+ * bCoeffs2 { 0 0 b2 b1 b0 0 a2 a1 }
+ */
+ acc = vmlaldavq(bCoeffs2, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ /*
+ * in { x0 x1 x2 x3 x4 x5 y0 yp1 }
+ * x
+ * bCoeffs2 { 0 0 0 b2 b1 b0 a1 a2 }
+ */
+ acc = vmlaldavq(bCoeffs3, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0 = vld1q(pIn);
+ pIn += 4;
+
+ /* decrement the loop counter */
+ sample--;
+ }
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ /*
+ * Tail handling
+ */
+ int32_t loopRemainder = blockSize & 3;
+
+ if (loopRemainder == 3) {
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ inVec0[7] = out;
+ acc = vmlaldavq(bCoeffs2, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ *pOut++ = (q15_t) out1;
+
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 4);
+ pState[1] = vgetq_lane_s16(inVec0, 3);
+ pState[3] = out;
+ pState[2] = out1;
+
+ } else if (loopRemainder == 2) {
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 3);
+ pState[1] = vgetq_lane_s16(inVec0, 2);
+ pState[3] = out1;
+ pState[2] = out;
+ } else if (loopRemainder == 1) {
+
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ *pOut++ = (q15_t) out1;
+
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 2);
+ pState[1] = vgetq_lane_s16(inVec0, 1);
+ pState[3] = out;
+ pState[2] = out1;
+
+
+ } else {
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 1);
+ pState[1] = vgetq_lane_s16(inVec0, 0);
+ pState[3] = out1;
+ pState[2] = out;
+ }
+
+ pState += 4;
+ pCoeffs += 6;
+
+ /*
+ * The first stage goes from the input buffer to the output buffer.
+ * Subsequent stages occur in-place in the output buffer
+ */
+ pIn = pDst;
+ /*
+ * Reset to destination pointer
+ */
+ pOut = pDst;
+ }
+ while (--stages);
+}
+#else
+void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn = pSrc; /* Source pointer */
+ q15_t *pOut = pDst; /* Destination pointer */
+ q31_t in; /* Temporary variable to hold input value */
+ q31_t out; /* Temporary variable to hold output value */
+ q31_t b0; /* Temporary variable to hold bo value */
+ q31_t b1, a1; /* Filter coefficients */
+ q31_t state_in, state_out; /* Filter state variables */
+ q31_t acc_l, acc_h;
+ q63_t acc; /* Accumulator */
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
+ uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */
+ int32_t uShift = (32 - lShift);
+
+ do
+ {
+ /* Read the b0 and 0 coefficients using SIMD */
+ b0 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the b1 and b2 coefficients using SIMD */
+ b1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the a1 and a2 coefficients using SIMD */
+ a1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the input state values from the state buffer: x[n-1], x[n-2] */
+ state_in = read_q15x2_ia (&pState);
+
+ /* Read the output state values from the state buffer: y[n-1], y[n-2] */
+ state_out = read_q15x2_da (&pState);
+
+ /* Apply loop unrolling and compute 2 output values simultaneously. */
+ /* The variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+ sample = blockSize >> 1U;
+
+ /* First part of the processing with loop unrolling. Compute 2 outputs at a time.
+ ** a second loop below computes the remaining 1 sample. */
+ while (sample > 0U)
+ {
+
+ /* Read the input */
+ in = read_q15x2_ia ((q15_t **) &pIn);
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUAD(b0, in);
+
+ /* acc += b1 * x[n-1] + b2 * x[n-2] + out */
+ acc = __SMLALD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + a2 * y[n-2] */
+ acc = __SMLALD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ out = __SSAT(out, 16);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
+ state_out = __PKHBT(state_out >> 16, (out), 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUADX(b0, in);
+ /* acc += b1 * x[n-1] + b2 * x[n-2] + out */
+ acc = __SMLALD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + a2 * y[n-2] */
+ acc = __SMLALD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ out = __SSAT(out, 16);
+
+ /* Store the output in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in >> 16, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Decrement loop counter */
+ sample--;
+ }
+
+ /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+
+ if ((blockSize & 0x1U) != 0U)
+ {
+ /* Read the input */
+ in = *pIn++;
+
+ /* out = b0 * x[n] + 0 * 0 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ out = __SMUAD(b0, in);
+#else
+ out = __SMUADX(b0, in);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* acc = b1 * x[n-1] + b2 * x[n-2] + out */
+ acc = __SMLALD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + a2 * y[n-2] */
+ acc = __SMLALD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ out = __SSAT(out, 16);
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = (q15_t) out;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ }
+
+ /* The first stage goes from the input wire to the output wire. */
+ /* Subsequent numStages occur in-place in the output wire */
+ pIn = pDst;
+
+ /* Reset the output pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the state array */
+ write_q15x2_ia (&pState, state_in);
+ write_q15x2_ia (&pState, state_out);
+
+ /* Decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+#else
+
+ const q15_t *pIn = pSrc; /* Source pointer */
+ q15_t *pOut = pDst; /* Destination pointer */
+ q15_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q15_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */
+ q15_t Xn; /* temporary input */
+ q63_t acc; /* Accumulator */
+ int32_t shift = (15 - (int32_t) S->postShift); /* Post shift */
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ pCoeffs++; // skip the 0 coefficient
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the state values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ /* The variables acc holds the output value that is computed:
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ acc = (q31_t) b0 *Xn;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q31_t) b1 *Xn1;
+ /* acc += b[2] * x[n-2] */
+ acc += (q31_t) b2 *Xn2;
+ /* acc += a1 * y[n-1] */
+ acc += (q31_t) a1 *Yn1;
+ /* acc += a2 * y[n-2] */
+ acc += (q31_t) a2 *Yn2;
+
+ /* The result is converted to 1.31 */
+ acc = __SSAT((acc >> shift), 16);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = (q15_t) acc;
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = (q15_t) acc;
+
+ /* decrement the loop counter */
+ sample--;
+ }
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent stages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset to destination pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
new file mode 100644
index 0000000..04413a3
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
@@ -0,0 +1,510 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_q31.c
+ * Description: Processing function for the Q31 Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 Biquad cascade filter.
+ @param[in] S points to an instance of the Q31 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).
+ After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to
+ 1.31 format by discarding the low 32 bits.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter.
+ */
+#if defined(ARM_MATH_MVEI)
+
+void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ int shift;
+ uint32_t stages = S->numStages; /* loop counters */
+ int postShift = S->postShift;
+ q31x4_t b0Coeffs, b1Coeffs, a0Coeffs, a1Coeffs; /* Coefficients vector */
+ q31x4_t stateVec;
+ q31_t *pState = S->pState; /* pState pointer initialization */
+ q31x4_t inVec0;
+ int64_t acc;
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q31_t out, out1;
+
+
+ shift = (postShift + 1 + 8);
+
+ do {
+ /*
+ * Reading the coefficients
+ * generates :
+ * Fwd0 { b2 b1 b0 0 }
+ * Fwd1 { 0 b2 b1 b0 }
+ * Bwd0 { 0 0 a2 a1 }
+ * Bwd0 { 0 0 a1 a2 }
+ * (can be moved in init)
+ */
+ b0Coeffs = vdupq_n_s32(0);
+ a0Coeffs = vdupq_n_s32(0);
+
+ b0Coeffs[0] = pCoeffs[2]; // b2
+ b0Coeffs[1] = pCoeffs[1]; // b1
+ b0Coeffs[2] = pCoeffs[0]; // b0
+
+ b1Coeffs = b0Coeffs;
+ uint32_t zero = 0;
+ b1Coeffs = vshlcq_s32(b1Coeffs, &zero, 32);
+
+ a0Coeffs[2] = pCoeffs[4];
+ a0Coeffs[3] = pCoeffs[3];
+ a1Coeffs = vrev64q_s32(a0Coeffs);
+
+
+ /*
+ * prologue consumes history samples
+ */
+
+ /* 2 first elements are garbage, will be updated with history */
+ inVec0 = vld1q(pIn - 2);
+
+ inVec0[0] = pState[1];
+ inVec0[1] = pState[0];
+
+ stateVec[2] = pState[3];
+ stateVec[3] = pState[2];
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ /*
+ * main loop
+ */
+ uint32_t sample = (blockSize - 2) >> 2U;
+ /*
+ * First part of the processing with loop unrolling.
+ * Compute 4 outputs at a time.
+ */
+ while (sample > 0U) {
+
+ stateVec[3] = out1;
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ /*
+ * in { x0 x1 x2 x3 }
+ * x
+ * b0Coeffs { b2 b1 b0 0 }
+ */
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ /*
+ * out { 0 0 yn2 yn1 }
+ * x
+ * a0Coeffs { 0 0 a2 a1 }
+ */
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ /*
+ * in { x0 x1 x2 x3 }
+ * x
+ * b0Coeffs { 0 b2 b1 b0 }
+ */
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ /*
+ * out { 0 0 y0 yn1 }
+ * x
+ * a0Coeffs { 0 0 a1 a2 }
+ */
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[3] = out1;
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ /* unrolled part */
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ sample--;
+ }
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ /*
+ * Tail handling
+ */
+ int32_t loopRemainder = blockSize & 3;
+ if (loopRemainder == 2) {
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[1];
+ pState[1] = inVec0[0];
+ pState[3] = out;
+ pState[2] = out1;
+ } else if (loopRemainder == 1) {
+ stateVec[3] = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[3] = out1;
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = out;
+
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[2];
+ pState[1] = inVec0[1];
+ pState[3] = out1;
+ pState[2] = out;
+ } else if (loopRemainder == 0) {
+ stateVec[3] = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[3];
+ pState[1] = inVec0[2];
+ pState[3] = out;
+ pState[2] = out1;
+ } else {
+ stateVec[3] = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = out;
+
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[2];
+ pState[1] = inVec0[1];
+ pState[3] = out1;
+ pState[2] = out;
+ }
+
+
+ pCoeffs += 5;
+ pState += 4;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent stages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset to destination pointer */
+ pOut = pDst;
+ }
+ while (--stages);
+}
+#else
+void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* Source pointer */
+ q31_t *pOut = pDst; /* Destination pointer */
+ q31_t *pState = S->pState; /* pState pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q63_t acc; /* Accumulator */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ q31_t Xn; /* Temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc_l, acc_h; /* temporary output variables */
+#endif
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+ /* The result is converted to 1.31 , Yn2 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Read the second input */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn2) + ((q63_t) b1 * Xn) + ((q63_t) b2 * Xn1) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1);
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Read the third input */
+ Xn1 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn1) + ((q63_t) b1 * Xn2) + ((q63_t) b2 * Xn) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+ /* The result is converted to 1.31, Yn2 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Read the forth input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1);
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+ /* The result is converted to 1.31 */
+ acc = acc >> lShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = (q31_t) acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset output pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
new file mode 100644
index 0000000..f8d424c
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
@@ -0,0 +1,652 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_f32.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+
+void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t Xn0, Xn1;
+ float32_t acc0, acc1;
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ float32_t const *pCurCoeffs = /* coefficient pointer */
+ (float32_t const *) S->pCoeffs;
+ f32x4_t b0Coeffs, a0Coeffs; /* Coefficients vector */
+ f32x4_t b1Coeffs, a1Coeffs; /* Modified coef. vector */
+ f32x4_t state; /* State vector */
+
+ do
+ {
+ /*
+ * temporary carry variable for feeding the 128-bit vector shifter
+ */
+ uint32_t tmp = 0;
+ /*
+ * Reading the coefficients
+ * b0Coeffs = {b0, b1, b2, x}
+ * a0Coeffs = { x, a1, a2, x}
+ */
+ b0Coeffs = vld1q(pCurCoeffs); pCurCoeffs+= 2;
+ a0Coeffs = vld1q(pCurCoeffs); pCurCoeffs+= 3;
+ /*
+ * Reading the state values
+ * state = {d1, d2, 0, 0}
+ */
+ state = *(f32x4_t *) pState;
+ state = vsetq_lane(0.0f, state, 2);
+ state = vsetq_lane(0.0f, state, 3);
+
+ /* b1Coeffs = {b0, b1, b2, x} */
+ /* b1Coeffs = { x, x, a1, a2} */
+ b1Coeffs = vshlcq_s32(b0Coeffs, &tmp, 32);
+ a1Coeffs = vshlcq_s32(a0Coeffs, &tmp, 32);
+
+ sample = blockSize / 2;
+
+ /* unrolled 2 x */
+ while (sample > 0U)
+ {
+ /*
+ * Read 2 inputs
+ */
+ Xn0 = *pIn++;
+ Xn1 = *pIn++;
+
+ /*
+ * 1st half:
+ * / acc0 \ / b0 \ / d1 \ / 0 \
+ * | d1 | = | b1 | * Xn0 + | d2 | + | a1 | x acc0
+ * | d2 | | b2 | | 0 | | a2 |
+ * \ x / \ x / \ x / \ x /
+ */
+
+ state = vfmaq(state, b0Coeffs, Xn0);
+ acc0 = vgetq_lane(state, 0);
+ state = vfmaq(state, a0Coeffs, acc0);
+ state = vsetq_lane(0.0f, state, 3);
+
+ /*
+ * 2nd half:
+ * same as 1st half, but all vector elements shifted down.
+ * / x \ / x \ / x \ / x \
+ * | acc1 | = | b0 | * Xn1 + | d1 | + | 0 | x acc1
+ * | d1 | | b1 | | d2 | | a1 |
+ * \ d2 / \ b2 / \ 0 / \ a2 /
+ */
+
+ state = vfmaq(state, b1Coeffs, Xn1);
+ acc1 = vgetq_lane(state, 1);
+ state = vfmaq(state, a1Coeffs, acc1);
+
+ /* move d1, d2 up + clearing */
+ /* expect dual move or long move */
+ state = vsetq_lane(vgetq_lane(state, 2), state, 0);
+ state = vsetq_lane(vgetq_lane(state, 3), state, 1);
+ state = vsetq_lane(0.0f, state, 2);
+ /*
+ * Store the results in the destination buffer.
+ */
+ *pOut++ = acc0;
+ *pOut++ = acc1;
+ /*
+ * decrement the loop counter
+ */
+ sample--;
+ }
+
+ /*
+ * tail handling
+ */
+ if (blockSize & 1)
+ {
+ Xn0 = *pIn++;
+ state = vfmaq(state, b0Coeffs, Xn0);
+ acc0 = vgetq_lane(state, 0);
+
+ state = vfmaq(state, a0Coeffs, acc0);
+ *pOut++ = acc0;
+ *pState++ = vgetq_lane(state, 1);
+ *pState++ = vgetq_lane(state, 2);
+ }
+ else
+ {
+ *pState++ = vgetq_lane(state, 0);
+ *pState++ = vgetq_lane(state, 1);
+ }
+ /*
+ * The current stage output is given as the input to the next stage
+ */
+ pIn = pDst;
+ /*
+ * Reset the output working pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+#else
+#if defined(ARM_MATH_NEON)
+
+void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t acc1; /* accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1; /* temporary input */
+ float32_t d1, d2; /* state variables */
+ uint32_t sample, stageCnt,stage = S->numStages; /* loop counters */
+
+
+ float32x4_t XnV, YnV;
+ float32x4x2_t dV;
+ float32x4_t zeroV = vdupq_n_f32(0.0);
+ float32x4_t t1,t2,t3,t4,b1V,b2V,a1V,a2V,s;
+
+ /* Loop unrolling. Compute 4 outputs at a time */
+ stageCnt = stage >> 2;
+
+ while (stageCnt > 0U)
+ {
+ /* Reading the coefficients */
+ t1 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ t2 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ t3 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ t4 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ b1V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ b2V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ a1V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ a2V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ /* Reading the state values */
+ dV = vld2q_f32(pState);
+
+ sample = blockSize;
+
+ while (sample > 0U) {
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+ XnV = vdupq_n_f32(*pIn++);
+
+ s = dV.val[0];
+ YnV = s;
+
+ s = vextq_f32(zeroV,dV.val[0],3);
+ YnV = vmlaq_f32(YnV, t1, s);
+
+ s = vextq_f32(zeroV,dV.val[0],2);
+ YnV = vmlaq_f32(YnV, t2, s);
+
+ s = vextq_f32(zeroV,dV.val[0],1);
+ YnV = vmlaq_f32(YnV, t3, s);
+
+ YnV = vmlaq_f32(YnV, t4, XnV);
+
+ s = vextq_f32(XnV,YnV,3);
+
+ dV.val[0] = vmlaq_f32(dV.val[1], s, b1V);
+ dV.val[0] = vmlaq_f32(dV.val[0], YnV, a1V);
+
+ dV.val[1] = vmulq_f32(s, b2V);
+ dV.val[1] = vmlaq_f32(dV.val[1], YnV, a2V);
+
+ *pOut++ = vgetq_lane_f32(YnV, 3) ;
+
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ vst2q_f32(pState,dV);
+ pState += 8;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /*Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement the loop counter */
+ stageCnt--;
+
+ }
+
+ /* Tail */
+ stageCnt = stage & 3;
+
+ while (stageCnt > 0U)
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /*Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn1 = *pIn++;
+
+ /* y[n] = b0 * x[n] + d1 */
+ acc1 = (b0 * Xn1) + d1;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+ /* d2 = b2 * x[n] + a2 * y[n] */
+ d2 = (b2 * Xn1) + (a2 * acc1);
+
+ /* decrement the loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ *pState++ = d1;
+ *pState++ = d2;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /*Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement the loop counter */
+ stageCnt--;
+ }
+}
+#else
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* Source pointer */
+ float32_t *pOut = pDst; /* Destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t acc1; /* Accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1; /* Temporary input */
+ float32_t d1, d2; /* State variables */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = pCoeffs[0];
+ b1 = pCoeffs[1];
+ b2 = pCoeffs[2];
+ a1 = pCoeffs[3];
+ a2 = pCoeffs[4];
+
+ /* Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 16 outputs at a time */
+ sample = blockSize >> 4U;
+
+ while (sample > 0U) {
+
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+/* 1 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 2 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 3 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 4 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 5 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 6 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 7 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 8 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 9 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 10 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 11 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 12 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 13 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 14 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 15 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 16 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0xFU;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U) {
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ pState[0] = d1;
+ pState[1] = d2;
+
+ pState += 2U;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /* Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+LOW_OPTIMIZATION_EXIT
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
new file mode 100644
index 0000000..35d401d
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
@@ -0,0 +1,443 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_f64.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure
+
+ This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.
+ The filters are implemented as a cascade of second order Biquad sections.
+ These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.
+ Only floating-point data is supported.
+
+ This function operate on blocks of input and output data and each call to the function
+ processes blockSize samples through the filter.
+ pSrc points to the array of input data and
+ pDst points to the array of output data.
+ Both arrays contain blockSize values.
+
+ @par Algorithm
+ Each Biquad stage implements a second order filter using the difference equation:
+ + y[n] = b0 * x[n] + d1 + d1 = b1 * x[n] + a1 * y[n] + d2 + d2 = b2 * x[n] + a2 * y[n] ++ where d1 and d2 represent the two state values. + @par + A Biquad filter using a transposed Direct Form II structure is shown below. + \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" + Coefficients
b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients.
+ Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.
+ Pay careful attention to the sign of the feedback coefficients.
+ Some design tools flip the sign of the feedback coefficients:
+ + y[n] = b0 * x[n] + d1; + d1 = b1 * x[n] - a1 * y[n] + d2; + d2 = b2 * x[n] - a2 * y[n]; ++ In this case the feedback coefficients
a1 and a2 must be negated when used with the CMSIS DSP Library.
+ @par
+ Higher order filters are realized as a cascade of second order sections.
+ numStages refers to the number of second order stages used.
+ For example, an 8th order filter would be realized with numStages=4 second order stages.
+ A 9th order filter would be realized with numStages=5 second order stages with the
+ coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).
+ @par
+ pState points to the state variable array.
+ Each Biquad stage has 2 state variables d1 and d2.
+ The state variables are arranged in the pState array as:
+
+ {d11, d12, d21, d22, ...}
+
+ where d1x refers to the state variables for the first Biquad and
+ d2x refers to the state variables for the second Biquad.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ @par
+ The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.
+ The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.
+ That is why the Direct Form I structure supports Q15 and Q31 data types.
+ The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2.
+ Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.
+ The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+
+ @par Init Functions
+ There is also an associated initialization function.
+ The initialization function performs following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ For example, to statically initialize the instance structure use
+
+ arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};
+ arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
+
+ where numStages is the number of Biquad stages in the filter;
+ pState is the address of the state buffer.
+ pCoeffs is the address of the coefficient buffer;
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f64(
+ const arm_biquad_cascade_df2T_instance_f64 * S,
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize)
+{
+
+ const float64_t *pIn = pSrc; /* Source pointer */
+ float64_t *pOut = pDst; /* Destination pointer */
+ float64_t *pState = S->pState; /* State pointer */
+ const float64_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float64_t acc1; /* Accumulator */
+ float64_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float64_t Xn1; /* Temporary input */
+ float64_t d1, d2; /* State variables */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = pCoeffs[0];
+ b1 = pCoeffs[1];
+ b2 = pCoeffs[2];
+ a1 = pCoeffs[3];
+ a2 = pCoeffs[4];
+
+ /* Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 16 outputs at a time */
+ sample = blockSize >> 4U;
+
+ while (sample > 0U) {
+
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+/* 1 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+
+/* 2 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 3 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 4 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 5 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 6 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 7 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 8 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 9 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 10 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 11 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 12 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 13 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 14 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 15 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 16 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0xFU;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U) {
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ pState[0] = d1;
+ pState[1] = d2;
+
+ pState += 2U;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /* Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
new file mode 100644
index 0000000..4a50515
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_init_f32.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order
+ in the not Neon version.
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+
+ For Neon version, this array is bigger. If numstages = 4x + y, then the array has size:
+ 32*x + 5*y
+ and it must be initialized using the function
+ arm_biquad_cascade_df2T_compute_coefs_f32 which is taking the
+ standard array coefficient as parameters.
+
+ But, an array of 8*numstages is a good approximation.
+
+ Then, the initialization can be done with:
+ + arm_biquad_cascade_df2T_init_f32(&SNeon, nbCascade, neonCoefs, stateNeon); + arm_biquad_cascade_df2T_compute_coefs_f32(&SNeon,nbCascade,coefs); ++ + @par In this example, neonCoefs is a bigger array of size 8 * numStages. + coefs is the standard array: + +
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+#if defined(ARM_MATH_NEON)
+/*
+
+Must be called after initializing the biquad instance.
+pCoeffs has size 5 * nbCascade
+Whereas the pCoeffs for the init has size (4*4 + 4*4)* nbCascade
+
+So this pCoeffs is the one which would be used for the not Neon version.
+The pCoeffs passed in init is bigger than the one for the not Neon version.
+
+*/
+void arm_biquad_cascade_df2T_compute_coefs_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ float32_t * pCoeffs)
+{
+ uint8_t cnt;
+ float32_t *pDstCoeffs;
+ float32_t b0[4],b1[4],b2[4],a1[4],a2[4];
+
+ pDstCoeffs = (float32_t*)S->pCoeffs;
+
+ cnt = numStages >> 2;
+ while(cnt > 0)
+ {
+ for(int i=0;i<4;i++)
+ {
+ b0[i] = pCoeffs[0];
+ b1[i] = pCoeffs[1];
+ b2[i] = pCoeffs[2];
+ a1[i] = pCoeffs[3];
+ a2[i] = pCoeffs[4];
+ pCoeffs += 5;
+ }
+
+ /* Vec 1 */
+ *pDstCoeffs++ = 0;
+ *pDstCoeffs++ = b0[1];
+ *pDstCoeffs++ = b0[2];
+ *pDstCoeffs++ = b0[3];
+
+ /* Vec 2 */
+ *pDstCoeffs++ = 0;
+ *pDstCoeffs++ = 0;
+ *pDstCoeffs++ = b0[1] * b0[2];
+ *pDstCoeffs++ = b0[2] * b0[3];
+
+ /* Vec 3 */
+ *pDstCoeffs++ = 0;
+ *pDstCoeffs++ = 0;
+ *pDstCoeffs++ = 0;
+ *pDstCoeffs++ = b0[1] * b0[2] * b0[3];
+
+ /* Vec 4 */
+ *pDstCoeffs++ = b0[0];
+ *pDstCoeffs++ = b0[0] * b0[1];
+ *pDstCoeffs++ = b0[0] * b0[1] * b0[2];
+ *pDstCoeffs++ = b0[0] * b0[1] * b0[2] * b0[3];
+
+ /* Vec 5 */
+ *pDstCoeffs++ = b1[0];
+ *pDstCoeffs++ = b1[1];
+ *pDstCoeffs++ = b1[2];
+ *pDstCoeffs++ = b1[3];
+
+ /* Vec 6 */
+ *pDstCoeffs++ = b2[0];
+ *pDstCoeffs++ = b2[1];
+ *pDstCoeffs++ = b2[2];
+ *pDstCoeffs++ = b2[3];
+
+ /* Vec 7 */
+ *pDstCoeffs++ = a1[0];
+ *pDstCoeffs++ = a1[1];
+ *pDstCoeffs++ = a1[2];
+ *pDstCoeffs++ = a1[3];
+
+ /* Vec 8 */
+ *pDstCoeffs++ = a2[0];
+ *pDstCoeffs++ = a2[1];
+ *pDstCoeffs++ = a2[2];
+ *pDstCoeffs++ = a2[3];
+
+ cnt--;
+ }
+
+ cnt = numStages & 0x3;
+ while(cnt > 0)
+ {
+ *pDstCoeffs++ = *pCoeffs++;
+ *pDstCoeffs++ = *pCoeffs++;
+ *pDstCoeffs++ = *pCoeffs++;
+ *pDstCoeffs++ = *pCoeffs++;
+ *pDstCoeffs++ = *pCoeffs++;
+ cnt--;
+ }
+
+}
+#endif
+
+void arm_biquad_cascade_df2T_init_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 2 * numStages */
+ memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
new file mode 100644
index 0000000..2ab272f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_init_f64.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure
+ @param[in] numStages number of 2nd order stages in the filter
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df2T_init_f64(
+ arm_biquad_cascade_df2T_instance_f64 * S,
+ uint8_t numStages,
+ const float64_t * pCoeffs,
+ float64_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 2 * numStages */
+ memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float64_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
new file mode 100644
index 0000000..426efef
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
@@ -0,0 +1,420 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_stereo_df2T_f32.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter. 2 channels
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+
+void arm_biquad_cascade_stereo_df2T_f32(
+ const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ float32_t scratch[6];
+ uint32x4_t loadIdxVec;
+ f32x4_t aCoeffs, bCoeffs;
+ f32x4_t stateVec0, stateVec1;
+ f32x4_t inVec;
+ uint32_t startIdx = 0;
+
+ /*
+ * {0, 1, 0, 1} generator
+ */
+ loadIdxVec = viwdupq_u32(&startIdx, 2, 1);
+
+ /*
+ * scratch top clearing
+ * layout : [d1a d1b d2a d2b 0 0]
+ */
+ scratch[4] = 0.0f;
+ scratch[5] = 0.0f;
+
+ do
+ {
+ /*
+ * Reading the coefficients
+ */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /*
+ * aCoeffs = {a1 a1 a2 a2}
+ */
+ aCoeffs = vdupq_n_f32(a1);
+ aCoeffs = vsetq_lane(a2, aCoeffs, 2);
+ aCoeffs = vsetq_lane(a2, aCoeffs, 3);
+
+ /*
+ * bCoeffs = {b1 b1 b2 b2}
+ */
+ bCoeffs = vdupq_n_f32(b1);
+ bCoeffs = vsetq_lane(b2, bCoeffs, 2);
+ bCoeffs = vsetq_lane(b2, bCoeffs, 3);
+
+ /*
+ * Reading the state values
+ * Save into scratch
+ */
+ *(f32x4_t *) scratch = *(f32x4_t *) pState;
+
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /*
+ * step 1
+ *
+ * 0 | acc1a = xn1a * b0 + d1a
+ * 1 | acc1b = xn1b * b0 + d1b
+ * 2 | acc1a = xn1a * b0 + d1a
+ * 3 | acc1b = xn1b * b0 + d1b
+ */
+ /*
+ * load {d1a, d1b, d1a, d1b}
+ */
+ stateVec0 = vldrwq_gather_shifted_offset((uint32_t const *) scratch, loadIdxVec);
+ /*
+ * load {in0 in1 in0 in1}
+ */
+ inVec = vldrwq_gather_shifted_offset((uint32_t const *) pIn, loadIdxVec);
+
+ stateVec0 = vfmaq(stateVec0, inVec, b0);
+ *pOut++ = vgetq_lane(stateVec0, 0);
+ *pOut++ = vgetq_lane(stateVec0, 1);
+
+ /*
+ * step 2
+ *
+ * 0 | d1a = b1 * xn1a + a1 * acc1a + d2a
+ * 1 | d1b = b1 * xn1b + a1 * acc1b + d2b
+ * 2 | d2a = b2 * xn1a + a2 * acc1a + 0
+ * 3 | d2b = b2 * xn1b + a2 * acc1b + 0
+ */
+
+ /*
+ * load {d2a, d2b, 0, 0}
+ */
+ stateVec1 = *(f32x4_t *) & scratch[2];
+ stateVec1 = vfmaq(stateVec1, stateVec0, aCoeffs);
+ stateVec1 = vfmaq(stateVec1, inVec, bCoeffs);
+ *(f32x4_t *) scratch = stateVec1;
+
+ pIn = pIn + 2;
+ sample--;
+ }
+
+ /*
+ * Store the updated state variables back into the state array
+ */
+ vst1q(pState, stateVec1);
+ pState += 4;
+
+ /*
+ * The current stage output is given as the input to the next stage
+ */
+ pIn = pDst;
+ /*
+ * Reset the output working pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+
+#else
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_stereo_df2T_f32(
+ const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* Source pointer */
+ float32_t *pOut = pDst; /* Destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t acc1a, acc1b; /* Accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1a, Xn1b; /* Temporary input */
+ float32_t d1a, d2a, d1b, d2b; /* State variables */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = pCoeffs[0];
+ b1 = pCoeffs[1];
+ b2 = pCoeffs[2];
+ a1 = pCoeffs[3];
+ a2 = pCoeffs[4];
+
+ /* Reading the state values */
+ d1a = pState[0];
+ d2a = pState[1];
+ d1b = pState[2];
+ d2b = pState[3];
+
+ pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ sample = blockSize >> 3U;
+
+ while (sample > 0U) {
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+/* 1 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 2 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 3 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 4 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 5 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 6 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 7 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/* 8 */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x7U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U) {
+ /* Read the input */
+ Xn1a = *pIn++; /* Channel a */
+ Xn1b = *pIn++; /* Channel b */
+
+ /* y[n] = b0 * x[n] + d1 */
+ acc1a = (b0 * Xn1a) + d1a;
+ acc1b = (b0 * Xn1b) + d1b;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc1a;
+ *pOut++ = acc1b;
+
+ /* Every time after the output is computed state should be updated. */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+ d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+ /* d2 = b2 * x[n] + a2 * y[n] */
+ d2a = (b2 * Xn1a) + (a2 * acc1a);
+ d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ pState[0] = d1a;
+ pState[1] = d2a;
+
+ pState[2] = d1b;
+ pState[3] = d2b;
+
+ pState += 4U;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /* Reset the output working pointer */
+ pOut = pDst;
+
+ /* Decrement the loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+LOW_OPTIMIZATION_EXIT
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
new file mode 100644
index 0000000..d398f18
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_stereo_df2T_init_f32.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2 for each channel.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_stereo_df2T_init_f32(
+ arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
new file mode 100644
index 0000000..f217f1e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
@@ -0,0 +1,964 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_f32.c
+ * Description: Convolution of floating-point sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup Conv Convolution
+
+ Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector.
+ Convolution is similar to correlation and is frequently used in filtering and data analysis.
+ The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types.
+ The library also provides fast versions of the Q15 and Q31 functions.
+
+ @par Algorithm
+ Let a[n] and b[n] be sequences of length srcALen and
+ srcBLen samples respectively. Then the convolution
+ + c[n] = a[n] * b[n] ++ @par + is defined as + \image html ConvolutionEquation.gif + @par + Note that
c[n] is of length srcALen + srcBLen - 1 and is defined over the interval n=0, 1, 2, ..., srcALen + srcBLen - 2.
+ pSrcA points to the first input vector of length srcALen and
+ pSrcB points to the second input vector of length srcBLen.
+ The output result is written to pDst and the calling function must allocate srcALen+srcBLen-1 words for the result.
+ @par
+ Conceptually, when two signals a[n] and b[n] are convolved,
+ the signal b[n] slides over a[n].
+ For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together.
+ @par
+ Note that convolution is a commutative operation:
+ + a[n] * b[n] = b[n] * a[n]. ++ @par + This means that switching the A and B arguments to the convolution functions has no effect. + + @par Fixed-Point Behavior + Convolution requires summing up a large number of intermediate products. + As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. + Refer to the function specific documentation below for further details of the particular algorithm used. + + @par Fast Versions + Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires + the input signals should be scaled down to avoid intermediate overflows. + + @par Opt Versions + Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of floating-point sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + + +void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + const float32_t *pIn1 = pSrcA; /* inputA pointer */ + const float32_t *pIn2 = pSrcB; /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const float32_t *pX; + const float32_t *pY; + const float32_t *pA; + const float32_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t block1, block2, block3; + uint32_t vddupStartIdx = 3; + uint32x4_t decrIdxVec = vddupq_u32(vddupStartIdx, 1); + + if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2 - 3; + + for (i = 0; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is incrementing for successive accumulators + * Y pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst++ = acc0; + *pDst++ = acc1; + pB += 2; + } + + for (; i < block1; i++) + { + uint32_t count = i + 1; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pB++; + } + + for (i = 0; i <= block2 - 2; i += 2) + { + uint32_t count = srcBLen; + float32_t acc0 = 0; + float32_t acc1 = 0; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count); + *pDst++ = acc0; + *pDst++ = acc1; + pA += 2; + } + if (block2 & 1) + { + uint32_t count = srcBLen; + float32_t acc = 0; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pA++; + } + + for (i = block3; i >= 2; i -= 2) + { + int32_t count = i; + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is decrementing for successive accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst++ = acc0; + *pDst++ = acc1; + pA += 2; + } + for (; i >= 1; i--) + { + int32_t count = i; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pA++; + } +} +#else +void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + +#if defined(ARM_MATH_DSP) + + const float32_t *pIn1; /* InputA pointer */ + const float32_t *pIn2; /* InputB pointer */ + float32_t *pOut = pDst; /* Output pointer */ + const float32_t *px; /* Intermediate inputA pointer */ + const float32_t *py; /* Intermediate inputB pointer */ + const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ + float32_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + float32_t acc0, acc1, acc2, acc3, c0; /* Accumulators */ +#if !defined(ARM_MATH_NEON) + float32_t x0, x1, x2, x3; /* Temporary variables to hold state and coefficient values */ +#endif +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ +#if defined(ARM_MATH_NEON) + float32x4_t vec1; + float32x4_t vec2; + float32x4_t res = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0); +#endif /* #if defined(ARM_MATH_NEON) */ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + +#if defined(ARM_MATH_NEON) + res = vdupq_n_f32(0) ; + accum = vdup_n_f32(0); + + /* Compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + + while (k > 0U) + { + vec1 = vld1q_f32(px); + vec2 = vld1q_f32(py-3); + vec2 = vrev64q_f32(vec2); + vec2 = vcombine_f32(vget_high_f32(vec2), vget_low_f32(vec2)); + + res = vmlaq_f32(res,vec1, vec2); + + /* Increment pointers */ + px += 4; + py -= 4; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count & 3; +#else + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* x[1] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* x[2] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* x[3] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#endif /* #if defined(ARM_MATH_NEON) */ + +#else /* defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + +#if defined(ARM_MATH_NEON) + float32x4_t c; + float32x4_t x1v; + float32x4_t x2v; + float32x4_t x; + float32x4_t res = vdupq_n_f32(0) ; +#endif /* #if defined(ARM_MATH_NEON) */ + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + +#if defined(ARM_MATH_NEON) + res = vdupq_n_f32(0) ; + + x1v = vld1q_f32(px); + x2v = vld1q_f32(px+4); + + do + { + c = vld1q_f32(py-3); + + px += 4; + x = x1v; + res = vmlaq_n_f32(res,x,c[3]); + + x = vextq_f32(x1v,x2v,1); + + res = vmlaq_n_f32(res,x,c[2]); + + x = vextq_f32(x1v,x2v,2); + + res = vmlaq_n_f32(res,x,c[1]); + + x = vextq_f32(x1v,x2v,3); + + res = vmlaq_n_f32(res,x,c[0]); + + py -= 4; + + x1v = x2v ; + x2v = vld1q_f32(px+4); + + } while (--k); + + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3; + + x1v = vld1q_f32(px); + px += 4; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + res = vmlaq_n_f32(res,x1v,c0); + + /* Reuse the present samples for the next MAC */ + x1v[0] = x1v[1]; + x1v[1] = x1v[2]; + x1v[2] = x1v[3]; + + x1v[3] = *(px++); + + /* Decrement the loop counter */ + k--; + } + + acc0 = res[0]; + acc1 = res[1]; + acc2 = res[2]; + acc3 = res[3]; + +#else + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += x0 * c0; + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += x1 * c0; + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += x2 * c0; + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 += x3 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 += x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 += x1 * c0; + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *(px + 3U); + px += 4U; + + /* Perform the multiply-accumulate */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 += x2 * c0; + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } +#endif /* #if defined(ARM_MATH_NEON) */ + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc0; + *pOut++ = acc1; + *pOut++ = acc2; + *pOut++ = acc3; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined (ARM_MATH_NEON)*/ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + +#if defined (ARM_MATH_NEON) + float32x4_t res = vdupq_n_f32(0) ; + float32x4_t x = vdupq_n_f32(0) ; + float32x4_t y = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0) ; + + /* First part of the processing. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py-3); + + y = vrev64q_f32(y); + y = vcombine_f32(vget_high_f32(y), vget_low_f32(y)); + + res = vmlaq_f32(res,x,y); + + px += 4 ; + py -= 4 ; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3U; + +#else + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#endif /* if defined (ARM_MATH_NEON) */ +#else + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + /* Loop unrolling: Compute 4 outputs at a time */ + k = blockSize3 >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t res = vdupq_n_f32(0) ; + float32x4_t x = vdupq_n_f32(0) ; + float32x4_t y = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0) ; + + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py-3); + + y = vrev64q_f32(y); + y = vcombine_f32(vget_high_f32(y), vget_low_f32(y)); + + res = vmlaq_f32(res,x,y); + + px += 4 ; + py -= 4 ; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + +#else + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } +#endif /* #if defined (ARM_MATH_NEON) */ + + /* Loop unrolling: Compute remaining outputs */ + k = blockSize3 % 0x4U; +#else + + /* Initialize blkCnt with number of samples */ + k = blockSize3; + +#endif /* #if defined (ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL)*/ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const float32_t *pIn1 = pSrcA; /* InputA pointer */ + const float32_t *pIn2 = pSrcB; /* InputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i < (srcALen + srcBLen - 1U); i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ( pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = sum; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Conv group + */ diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c new file mode 100644 index 0000000..ed2aea9 --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c @@ -0,0 +1,366 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_opt_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1 + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2 + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results + but provides only a single guard bit. There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q31_t acc0; /* Accumulators */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLAD(x2, y2, acc0); + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c new file mode 100644 index 0000000..3102a05 --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c @@ -0,0 +1,663 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1 + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results + but provides only a single guard bit. There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + /* Read y[srcBLen - 7] */ + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT((acc0 >> 15), (acc1 >> 15), 16)); + write_q15x2_ia (&pOut, __PKHBT((acc2 >> 15), (acc3 >> 15), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT((acc1 >> 15), (acc0 >> 15), 16)); + write_q15x2_ia (&pOut, __PKHBT((acc3 >> 15), (acc2 >> 15), 16)); +#endif /*#ifndef ARM_MATH_BIG_ENDIAN*/ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +} + +/** + @} end of Conv group + */ diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c new file mode 100644 index 0000000..e87eddc --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c @@ -0,0 +1,558 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q31.c + * Description: Fast Q31 Convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence. + @param[in] srcALen length of the first input sequence. + @param[in] pSrcB points to the second input sequence. + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are accumulated in a 32-bit register in 2.30 format. + Finally, the accumulator is saturated and converted to a 1.31 result. + @par + The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signals must be scaled down. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + @remark + Refer to \ref arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. + */ + +void arm_conv_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[1] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[2] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[3] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[srcBLen - 3] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[srcBLen - 3] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[srcBLen - 3] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 << 1); + *pOut++ = (q31_t) (acc1 << 1); + *pOut++ = (q31_t) (acc2 << 1); + *pOut++ = (q31_t) (acc3 << 1); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement loop counter */ + blockSize3--; + } + +} + +/** + @} end of Conv group + */ diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c new file mode 100644 index 0000000..6ad34cd --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c @@ -0,0 +1,362 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q15.c + * Description: Convolution of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both inputs are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + @remark + Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function. + */ + +void arm_conv_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q63_t acc0; /* Accumulators */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c new file mode 100644 index 0000000..fb9e2ec --- /dev/null +++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c @@ -0,0 +1,360 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q7.c + * Description: Convolution of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + This approach provides 17 guard bits and there is no risk of overflow as long as
max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ */
+
+void arm_conv_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */
+ q15_t x4; /* Temporary input variable */
+ q15_t *py; /* Temporary input2 pointer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */
+ uint32_t j, k, blkCnt, tapCnt; /* Loop counter */
+ q31_t x1, x2, x3, y1; /* Temporary input variables */
+ const q7_t *px; /* Temporary input1 pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ q7_t out0, out1, out2, out3; /* Temporary variables */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* points to smaller length sequence */
+ px = pIn2 + srcBLen - 1;
+
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcALen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcALen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) * pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = (q7_t *) py;
+
+ pScr2 = py;
+
+ /* Actual convolution process starts here */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2U;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x2, y1, acc0);
+
+ acc2 = __SMLAD(x1, y1, acc2);
+
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pScr2);
+ acc1 += (*pScr1++ * *pScr2);
+ acc2 += (*pScr1++ * *pScr2);
+ acc3 += (*pScr1++ * *pScr2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ out0 = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ out1 = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ out2 = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ out3 = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+ write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (*pScr1++ * *pScr2++);
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 1U;
+ }
+
+}
+
+/**
+ @} end of Conv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
new file mode 100644
index 0000000..34c77f2
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
@@ -0,0 +1,672 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_f32.c
+ * Description: Partial convolution of floating-point sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup PartialConv Partial Convolution
+
+ Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated.
+ Each function has two additional arguments.
+ firstIndex specifies the starting index of the subset of output samples.
+ numPoints is the number of output samples to compute.
+ The function computes the output in the range
+ [firstIndex, ..., firstIndex+numPoints-1].
+ The output array pDst contains numPoints values.
+
+ The allowable range of output indices is [0 srcALen+srcBLen-2].
+ If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR.
+ Otherwise the functions return ARM_MATH_SUCCESS.
+ \note Refer to \ref arm_conv_f32() for details on fixed point behavior.
+
+ @par Fast Versions
+ Fast versions are supported for Q31 and Q15 of partial convolution.
+ Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires
+ the input signals should be scaled down to avoid intermediate overflows.
+
+ @par Opt Versions
+ Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+ These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of partial convolution
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of floating-point sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+#if defined (ARM_MATH_DSP)
+ const float32_t *pIn1 = pSrcA; /* InputA pointer */
+ const float32_t *pIn2 = pSrcB; /* InputB pointer */
+ float32_t *pOut = pDst; /* Output pointer */
+ const float32_t *px; /* Intermediate inputA pointer */
+ const float32_t *py; /* Intermediate inputB pointer */
+ const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ float32_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc0, acc1, acc2, acc3; /* Accumulator */
+ float32_t x0, x1, x2, x3, c0; /* Temporary variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0;
+ blockSize2 = ((int32_t) check - blockSize3) - (blockSize1 + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + firstIndex;
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum += *px++ * *py--;
+
+ /* x[1] * y[srcBLen - 2] */
+ sum += *px++ * *py--;
+
+ /* x[2] * y[srcBLen - 3] */
+ sum += *px++ * *py--;
+
+ /* x[3] * y[srcBLen - 4] */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc1;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 += x0 * c0;
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 += x1 * c0;
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 += x2 * c0;
+ /* acc3 += x[3] * y[srcBLen - 1] */
+ acc3 += x3 * c0;
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *py--;
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 += x1 * c0;
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 += x2 * c0;
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 += x3 * c0;
+ /* acc3 += x[4] * y[srcBLen - 2] */
+ acc3 += x0 * c0;
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 += x2 * c0;
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 += x3 * c0;
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 += x0 * c0;
+ /* acc3 += x[5] * y[srcBLen - 2] */
+ acc3 += x1 * c0;
+
+ /* Read y[srcBLen - 4] sample */
+ c0 = *py--;
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[3] * y[srcBLen - 4] */
+ acc0 += x3 * c0;
+ /* acc1 += x[4] * y[srcBLen - 4] */
+ acc1 += x0 * c0;
+ /* acc2 += x[5] * y[srcBLen - 4] */
+ acc2 += x1 * c0;
+ /* acc3 += x[6] * y[srcBLen - 4] */
+ acc3 += x2 * c0;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += x0 * c0;
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += x1 * c0;
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += x2 * c0;
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 += x3 * c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc0;
+ *pOut++ = acc1;
+ *pOut++ = acc2;
+ *pOut++ = acc3;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum += *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum += *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum += *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const float32_t *pIn1 = pSrcA; /* InputA pointer */
+ const float32_t *pIn2 = pSrcB; /* InputB pointer */
+ float32_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0.0f;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ( pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = sum;
+ }
+
+ /* Set status as ARM_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* defined(ARM_MATH_DSP) */
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
new file mode 100644
index 0000000..7166b57
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
@@ -0,0 +1,387 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_fast_opt_q15.c
+ * Description: Fast Q15 Partial convolution
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2
+ @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen)
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+arm_status arm_conv_partial_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */
+ q31_t acc0; /* Accumulator */
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ const q15_t *px; /* Intermediate inputA pointer */
+ q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, k, blkCnt; /* Loop counter */
+ uint32_t tapCnt; /* Loop count */
+ arm_status status; /* Status variable */
+ q31_t x1; /* Temporary variables to hold state and coefficient values */
+ q31_t y1; /* State variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulator */
+ q31_t x2, x3; /* Temporary variables to hold state and coefficient values */
+ q31_t y2; /* State variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* pointer to take end of scratch2 buffer */
+ pScr2 = pScratch2 + srcBLen - 1;
+
+ /* points to smaller length sequence */
+ px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ /* Copy smaller length input sequence in reverse order into second scratch buffer */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Initialze temporary scratch pointer */
+ pScr1 = pScratch1;
+
+ /* Assuming scratch1 buffer is aligned by 32-bit */
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = py;
+
+ pScratch1 += firstIndex;
+
+ pOut = pDst + firstIndex;
+
+ /* Actual convolution process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (numPoints) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x2, y2, acc0);
+ acc2 = __SMLAD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+ acc1 = __SMLADX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc3 = __SMLADX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numPoints & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numPoints;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read two samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x1, y1, acc0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ ** Then store the output in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 1U;
+
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
new file mode 100644
index 0000000..535fbc7
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
@@ -0,0 +1,700 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_fast_q15.c
+ * Description: Fast Q15 Partial convolution
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ @remark
+ Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+arm_status arm_conv_partial_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables */
+ uint32_t j, k, count, blkCnt, check;
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations less than 4 */
+ /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ while ((count < 4U) && (blockSize1 > 0))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Loop over number of MAC operations between
+ * inputA samples and inputB samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* The second part of the stage starts here */
+ /* The internal loop, over count, is unrolled by 4 */
+ /* To, read the last two inputB samples using SIMD:
+ * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+ py = py - 1;
+
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2 - 1U;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ py = py - 1U;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the last two inputB samples using SIMD:
+ * y[srcBLen - 1] and y[srcBLen - 2] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLADX(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLADX(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLADX(x3, c0, acc3);
+
+ /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLADX(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLADX(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLADX(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLADX(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[srcBLen - 5] */
+ c0 = *(py + 1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD (x0, c0, acc0);
+ acc1 = __SMLAD (x1, c0, acc1);
+ acc2 = __SMLADX(x1, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLADX(x0, c0, acc0);
+ acc1 = __SMLADX(x1, c0, acc1);
+ acc2 = __SMLADX(x3, c0, acc2);
+ acc3 = __SMLADX(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLADX(x0, c0, acc0);
+ acc1 = __SMLADX(x1, c0, acc1);
+ acc2 = __SMLADX(x3, c0, acc2);
+ acc3 = __SMLADX(x2, c0, acc3);
+
+ c0 = *(py-1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLADX(x1, c0, acc0);
+ acc1 = __SMLAD (x2, c0, acc1);
+ acc2 = __SMLADX(x2, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(acc0 >> 15, acc1 >> 15, 16));
+ write_q15x2_ia (&pOut, __PKHBT(acc2 >> 15, acc3 >> 15, 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(acc1 >> 15, acc0 >> 15, 16));
+ write_q15x2_ia (&pOut, __PKHBT(acc3 >> 15, acc2 >> 15, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ No loop unrolling is used. */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) *px++ * *py--);
+ sum += ((q31_t) *px++ * *py--);
+ sum += ((q31_t) *px++ * *py--);
+ sum += ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ pIn2 = pSrc2 - 1U;
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations greater than 4 */
+ /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ j = count >> 2U;
+
+ while ((j > 0U) && (blockSize3 > 0))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+ * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+ * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement the MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+
+ j--;
+ }
+
+ /* The second part of the stage starts here */
+ /* SIMD is not used for the next MAC operations,
+ * so pointer py is updated to read only one sample at a time */
+ py = py + 1U;
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement the MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
new file mode 100644
index 0000000..fe2e2bb
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
@@ -0,0 +1,618 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_fast_q31.c
+ * Description: Fast Q31 Partial convolution
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q31 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.
+ */
+
+arm_status arm_conv_partial_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t sum; /* Accumulators */
+ uint32_t j, k, count, check, blkCnt;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, x3, c0;
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* x[1] * y[srcBLen - 2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* x[2] * y[srcBLen - 3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* x[3] * y[srcBLen - 4] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[3] * y[srcBLen - 1] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *py--;
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc3 += x[4] * y[srcBLen - 2] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc3 += x[5] * y[srcBLen - 2] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+ /* Read y[srcBLen - 4] sample */
+ c0 = *py--;
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[3] * y[srcBLen - 4] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc1 += x[4] * y[srcBLen - 4] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc2 += x[5] * y[srcBLen - 4] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc3 += x[6] * y[srcBLen - 4] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (acc0 << 1);
+ *pOut++ = (q31_t) (acc1 << 1);
+ *pOut++ = (q31_t) (acc2 << 1);
+ *pOut++ = (q31_t) (acc3 << 1);
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
new file mode 100644
index 0000000..21999d2
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
@@ -0,0 +1,386 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_opt_q15.c
+ * Description: Partial convolution of Q15 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function.
+ */
+
+arm_status arm_conv_partial_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */
+ q63_t acc0; /* Accumulator */
+ q31_t x1; /* Temporary variables to hold state and coefficient values */
+ q31_t y1; /* State variables */
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ const q15_t *px; /* Intermediate inputA pointer */
+ q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, k, blkCnt; /* Loop counter */
+ uint32_t tapCnt; /* Loop count */
+ arm_status status; /* Status variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2, acc3; /* Accumulator */
+ q31_t x2, x3; /* Temporary variables to hold state and coefficient values */
+ q31_t y2; /* State variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* pointer to take end of scratch2 buffer */
+ pScr2 = pScratch2 + srcBLen - 1;
+
+ /* points to smaller length sequence */
+ px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ /* Copy smaller length input sequence in reverse order into second scratch buffer */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Initialze temporary scratch pointer */
+ pScr1 = pScratch1;
+
+ /* Assuming scratch1 buffer is aligned by 32-bit */
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = py;
+
+ pScratch1 += firstIndex;
+
+ pOut = pDst + firstIndex;
+
+ /* Actual convolution process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (numPoints) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLALD(x1, y1, acc0);
+ acc2 = __SMLALD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLALDX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumlate */
+ acc0 = __SMLALD(x2, y2, acc0);
+ acc2 = __SMLALD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y1, acc3);
+ acc1 = __SMLALDX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numPoints & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numPoints;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read two samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ acc0 = __SMLALD(x1, y1, acc0);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ ** Then store the output in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 1U;
+
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
new file mode 100644
index 0000000..811f386
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
@@ -0,0 +1,390 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_opt_q7.c
+ * Description: Partial convolution of Q7 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */
+ q15_t x4; /* Temporary input variable */
+ const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */
+ uint32_t j, k, blkCnt, tapCnt; /* Loop counter */
+ const q7_t *px; /* Temporary input1 pointer */
+ q15_t *py; /* Temporary input2 pointer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulator */
+ q31_t x1, x2, x3, y1; /* Temporary input variables */
+ arm_status status;
+ q7_t *pOut = pDst; /* Output pointer */
+ q7_t out0, out1, out2, out3; /* Temporary variables */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* pointer to take end of scratch2 buffer */
+ pScr2 = pScratch2;
+
+ /* points to smaller length sequence */
+ px = pIn2 + srcBLen - 1;
+
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Initialze temporary scratch pointer */
+ pScr1 = pScratch1;
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcALen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcALen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = (q7_t *) py;
+
+ pScr2 = py;
+
+ pOut = pDst + firstIndex;
+
+ pScratch1 += firstIndex;
+
+ /* Actual convolution process starts here */
+ blkCnt = (numPoints) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialize temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumulators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x2, y1, acc0);
+
+ acc2 = __SMLAD(x1, y1, acc2);
+
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pScr2);
+ acc1 += (*pScr1++ * *pScr2);
+ acc2 += (*pScr1++ * *pScr2);
+ acc3 += (*pScr1++ * *pScr2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ out0 = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ out1 = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ out2 = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ out3 = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+ write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ blkCnt = (numPoints) & 0x3;
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read two samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x1, y1, acc0);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 1U;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
new file mode 100644
index 0000000..eb24641
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
@@ -0,0 +1,752 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_q15.c
+ * Description: Partial convolution of Q15 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function.
+ @remark
+ Refer to \ref arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+
+arm_status arm_conv_partial_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables to hold state and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt, check;
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations less than 4 */
+ /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ while ((count < 4U) && (blockSize1 > 0U))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Loop over number of MAC operations between
+ * inputA samples and inputB samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* The second part of the stage starts here */
+ /* The internal loop, over count, is unrolled by 4 */
+ /* To, read the last two inputB samples using SIMD:
+ * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+ py = py - 1;
+
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2 - 1U;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ py = py - 1U;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the last two inputB samples using SIMD:
+ * y[srcBLen - 1] and y[srcBLen - 2] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLALDX(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLALDX(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLALDX(x3, c0, acc3);
+
+ /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLALDX(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLALDX(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLALDX(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ * So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[srcBLen - 5] */
+ c0 = *(py+1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD (x0, c0, acc0);
+ acc1 = __SMLALD (x1, c0, acc1);
+ acc2 = __SMLALDX(x1, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+
+ c0 = *(py-1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALDX(x1, c0, acc0);
+ acc1 = __SMLALD (x2, c0, acc1);
+ acc2 = __SMLALDX(x2, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ No loop unrolling is used. */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ pIn2 = pSrc2 - 1U;
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations greater than 4 */
+ /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ j = count >> 2U;
+
+ while ((j > 0U) && (blockSize3 > 0U))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+ * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+ * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+
+ j--;
+ }
+
+ /* The second part of the stage starts here */
+ /* SIMD is not used for the next MAC operations,
+ * so pointer py is updated to read only one sample at a time */
+ py = py + 1U;
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ const q15_t *pIn1 = pSrcA; /* InputA pointer */
+ const q15_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q31_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U);
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
new file mode 100644
index 0000000..cfb1ad0
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
@@ -0,0 +1,633 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_q31.c
+ * Description: Partial convolution of Q31 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q31 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+arm_status arm_conv_partial_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if defined(ARM_MATH_DSP)
+
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q63_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2; /* Accumulator */
+ q31_t x0, x1, x2, c0; /* Temporary variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[1] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[2] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[3] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unroll over blkCnt */
+ blkCnt = blockSize2 / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Apply loop unrolling and compute 3 MACs simultaneously. */
+ k = srcBLen / 3;
+
+ /* First part of the processing with loop unrolling. Compute 3 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *(py);
+
+ /* Read x[2] sample */
+ x2 = *(px);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 += (q63_t) x0 * c0;
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 += (q63_t) x1 * c0;
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 += (q63_t) x2 * c0;
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *(py - 1U);
+
+ /* Read x[3] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 += (q63_t) x1 * c0;
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 += (q63_t) x2 * c0;
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 += (q63_t) x0 * c0;
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *(py - 2U);
+
+ /* Read x[4] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 += (q63_t) x2 * c0;
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 += (q63_t) x0 * c0;
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 += (q63_t) x1 * c0;
+
+
+ px += 3U;
+
+ py -= 3U;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen - (3 * (srcBLen / 3));
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += (q63_t) x0 * c0;
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += (q63_t) x1 * c0;
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += (q63_t) x2 * c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (acc0 >> 31);
+ *pOut++ = (q31_t) (acc1 >> 31);
+ *pOut++ = (q31_t) (acc2 >> 31);
+
+ /* Increment the pointer pIn1 index, count by 3 */
+ count += 3U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *px++ * (*py--);
+ sum += (q63_t) *px++ * (*py--);
+ sum += (q63_t) *px++ * (*py--);
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q31_t *pIn1 = pSrcA; /* InputA pointer */
+ const q31_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q63_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q31_t) (sum >> 31U);
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
new file mode 100644
index 0000000..bcfc51e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
@@ -0,0 +1,752 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_q7.c
+ * Description: Partial convolution of Q7 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_opt_q7() for a faster implementation of this function.
+ */
+
+arm_status arm_conv_partial_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if ARM_MATH_DSP
+
+ const q7_t *pIn1; /* InputA pointer */
+ const q7_t *pIn2; /* InputB pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ const q7_t *px; /* Intermediate inputA pointer */
+ const q7_t *py; /* Intermediate inputB pointer */
+ const q7_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check; /* Loop counters */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulator */
+ q31_t input1, input2; /* Temporary input variables */
+ q15_t in1, in2; /* Temporary input variables */
+ q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] , x[1] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 1] , y[srcBLen - 2] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[0] * y[srcBLen - 1] */
+ /* x[1] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[2] , x[3] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 3] , y[srcBLen - 4] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[2] * y[srcBLen - 3] */
+ /* x[3] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 2] sample */
+ c1 = *py--;
+
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* x[0] and x[1] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 1] and y[srcBLen - 2] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[1] and x[2] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 4] sample */
+ c1 = *py--;
+
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[4] and x[5] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* x[5] and x[6] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += ((q31_t) x0 * c0);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += ((q31_t) x1 * c0);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += ((q31_t) x2 * c0);
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 += ((q31_t) x3 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8));
+ *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8));
+ *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8));
+ *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8));
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q7_t *pIn1 = pSrcA; /* InputA pointer */
+ const q7_t *pIn2 = pSrcB; /* InputB pointer */
+ q31_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q15_t) pIn1[j] * (pIn2[i - j]));
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U);
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
new file mode 100644
index 0000000..e96c81e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
@@ -0,0 +1,858 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_q15.c
+ * Description: Convolution of Q15 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Conv
+ @{
+ */
+
+/**
+ @brief Convolution of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+ Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function.
+ @remark
+ Refer to \ref arm_conv_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+#if defined(ARM_MATH_MVEI)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+void arm_conv_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+ const q15_t *pIn1 = pSrcA; /* inputA pointer */
+ const q15_t *pIn2 = pSrcB; /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q15_t *pX;
+ const q15_t *pY;
+ const q15_t *pA;
+ const q15_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t block1, block2, block3;
+
+
+ uint16x8_t decrIdxVec = vddupq_u16(7, 1);
+
+
+ if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2 - 7;
+
+ for (i = 0; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+ pB += 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count);
+ *pDst++ = (q15_t) acc;
+ pB++;
+ }
+
+ for (i = 0; i <= block2 - 4; i += 4)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+ *pDst++ = (q15_t) acc2;
+ *pDst++ = (q15_t) acc3;
+
+ pA += 4;
+ }
+ for (; i <= block2 - 2; i += 2)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+
+ pA += 2;
+ }
+ if (block2 & 1)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count);
+ *pDst++ = (q15_t) acc;
+ pA++;
+ }
+
+ for (i = block3; i >= 1; i -= 2)
+ {
+ uint32_t count = i;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+ pA += 2;
+ }
+ for (; i >= 1; i--)
+ {
+ uint32_t count = i;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count);
+ *pDst++ = (q15_t) acc;
+ pA++;
+ }
+}
+#else
+void arm_conv_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables to hold state and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations less than 4 */
+ /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ while ((count < 4U) && (blockSize1 > 0U))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Loop over number of MAC operations between
+ * inputA samples and inputB samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* The second part of the stage starts here */
+ /* The internal loop, over count, is unrolled by 4 */
+ /* To, read the last two inputB samples using SIMD:
+ * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+ py = py - 1;
+
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + (count - 1U);
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ py = py - 1U;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the last two inputB samples using SIMD:
+ * y[srcBLen - 1] and y[srcBLen - 2] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLALDX(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLALDX(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLALDX(x3, c0, acc3);
+
+ /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLALDX(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLALDX(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+
+ px += 4U;
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLALDX(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ * So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[srcBLen - 5] */
+ c0 = *(py + 1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+ acc2 = __SMLALDX(x1, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+
+ c0 = *(py-1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALDX(x1, c0, acc0);
+ acc1 = __SMLALD(x2, c0, acc1);
+ acc2 = __SMLALDX(x2, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+ blockSize3 = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ pIn2 = pSrc2 - 1U;
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations greater than 4 */
+ /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ j = blockSize3 >> 2U;
+
+ while ((j > 0U) && (blockSize3 > 0U))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = blockSize3 >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+ * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+ * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = blockSize3 % 0x4U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+
+ j--;
+ }
+
+ /* The second part of the stage starts here */
+ /* SIMD is not used for the next MAC operations,
+ * so pointer py is updated to read only one sample at a time */
+ py = py + 1U;
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = blockSize3;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ const q15_t *pIn1 = pSrcA; /* InputA pointer */
+ const q15_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+
+ /* Loop to calculate convolution for output length number of values */
+ for (i = 0; i < (srcALen + srcBLen - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q31_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U);
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Conv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
new file mode 100644
index 0000000..88c6cc4
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
@@ -0,0 +1,745 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_q31.c
+ * Description: Convolution of Q31 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Conv
+ @{
+ */
+
+/**
+ @brief Convolution of Q31 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,
+ as maximum of min(srcALen, srcBLen) number of additions are carried internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_conv_fast_q31() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+void arm_conv_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+ const q31_t *pIn1 = pSrcA; /* inputA pointer */
+ const q31_t *pIn2 = pSrcB; /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q31_t *pX;
+ const q31_t *pY;
+ const q31_t *pA;
+ const q31_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t block1, block2, block3;
+ uint32_t vddupStartIdx = 3;
+ uint32x4_t decrIdxVec = vddupq_u32(vddupStartIdx, 1);
+
+ if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2 - 3;
+
+ for (i = 0; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ pB += 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count);
+
+ *pDst++ = (q31_t) acc;
+ pB++;
+ }
+
+ for (i = 0; i <= block2 - 4; i += 4)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count);
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ *pDst++ = (q31_t) acc2;
+ *pDst++ = (q31_t) acc3;
+
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count);
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+
+ pA += 2;
+ }
+ if (block2 & 1)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count);
+ *pDst++ = (q31_t) acc;
+ pA++;
+ }
+
+ for (i = block3; i >= 2; i -= 2)
+ {
+ uint32_t count = i;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count);
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ pA += 2;
+ }
+
+ for (; i >= 1; i--)
+ {
+ uint32_t count = i;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count);
+ *pDst++ = (q31_t) acc;
+ pA++;
+ }
+
+}
+
+#else
+void arm_conv_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q63_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[1] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[2] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[3] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unroll by 3 */
+ blkCnt = blockSize2 / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Apply loop unrolling and compute 3 MACs simultaneously. */
+ k = srcBLen / 3;
+
+ /* First part of the processing with loop unrolling. Compute 3 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *(py);
+ /* Read x[3] sample */
+ x2 = *(px);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *(py - 1U);
+ /* Read x[4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 += ((q63_t) x1 * c0);
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 += ((q63_t) x2 * c0);
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 += ((q63_t) x0 * c0);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *(py - 2U);
+ /* Read x[5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 += ((q63_t) x2 * c0);
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 += ((q63_t) x0 * c0);
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 += ((q63_t) x1 * c0);
+
+ /* update scratch pointers */
+ px += 3U;
+ py -= 3U;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen - (3 * (srcBLen / 3));
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (acc0 >> 31);
+ *pOut++ = (q31_t) (acc1 >> 31);
+ *pOut++ = (q31_t) (acc2 >> 31);
+
+ /* Increment the pointer pIn1 index, count by 3 */
+ count += 3U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *px++ * *py--;
+ sum += (q63_t) *px++ * *py--;
+ sum += (q63_t) *px++ * *py--;
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = blockSize3 >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = blockSize3 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q31_t *pIn1 = pSrcA; /* InputA pointer */
+ const q31_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulators */
+ uint32_t i, j; /* Loop counters */
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q63_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q31_t) (sum >> 31U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Conv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
new file mode 100644
index 0000000..97d540a
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
@@ -0,0 +1,860 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_q7.c
+ * Description: Convolution of Q7 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Conv
+ @{
+ */
+
+/**
+ @brief Convolution of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ @remark
+ Refer to \ref arm_conv_opt_q7() for a faster implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+#include "arm_helium_utils.h"
+
+#include "arm_vec_filtering.h"
+
+void arm_conv_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+ const q7_t *pIn1 = pSrcA; /* inputA pointer */
+ const q7_t *pIn2 = pSrcB; /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q7_t *pX;
+ const q7_t *pY;
+ const q7_t *pA;
+ const q7_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t block1, block2, block3;
+ uint8_t vddupStartIdx = 15;
+ uint8x16_t decrIdxVec = vddupq_u8(vddupStartIdx, 1);
+
+ if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2 - 15;
+
+ for (i = 0; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ pB += 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count);
+ *pDst++ = (q7_t) acc;
+ pB++;
+ }
+
+ for (i = 0; i <= block2 - 4; i += 4)
+ {
+ uint32_t count = srcBLen;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+ int32_t acc2 = 0;
+ int32_t acc3 = 0;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ *pDst++ = (q7_t) acc2;
+ *pDst++ = (q7_t) acc3;
+ pA += 4;
+ }
+ for (; i <= block2 - 2; i += 2)
+ {
+ uint32_t count = srcBLen;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ pA += 2;
+ }
+ if (block2 & 1)
+ {
+ uint32_t count = srcBLen;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count);
+ *pDst++ = (q7_t) acc;
+ pA++;
+ }
+
+ for (i = block3; i >= 1; i -= 2)
+ {
+ uint32_t count = i;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ pA += 2;
+ }
+ for (; i >= 1; i--)
+ {
+ uint32_t count = i;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count);
+ *pDst++ = (q7_t) acc;
+ pA++;
+ }
+}
+
+#else
+void arm_conv_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q7_t *pIn1; /* InputA pointer */
+ const q7_t *pIn2; /* InputB pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ const q7_t *px; /* Intermediate inputA pointer */
+ const q7_t *py; /* Intermediate inputB pointer */
+ const q7_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t input1, input2; /* Temporary input variables */
+ q15_t in1, in2; /* Temporary input variables */
+ q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] , x[1] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 1] , y[srcBLen - 2] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* x[0] * y[srcBLen - 1] */
+ /* x[1] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[2] , x[3] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 3] , y[srcBLen - 4] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* x[2] * y[srcBLen - 3] */
+ /* x[3] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 2] sample */
+ c1 = *py--;
+
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* x[0] and x[1] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 1] and y[srcBLen - 2] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[1] and x[2] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 4] sample */
+ c1 = *py--;
+
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[4] and x[5] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* x[5] and x[6] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += ((q15_t) x0 * c0);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += ((q15_t) x1 * c0);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += ((q15_t) x2 * c0);
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ *pOut++ = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ *pOut++ = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ *pOut++ = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = blockSize3 >> 2U;
+
+ while (k > 0U)
+ {
+ /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = blockSize3 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q7_t *pIn1 = pSrcA; /* InputA pointer */
+ const q7_t *pIn2 = pSrcB; /* InputB pointer */
+ q31_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q15_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Conv group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
new file mode 100644
index 0000000..4dd5bb9
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
@@ -0,0 +1,1095 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_f32.c
+ * Description: Correlation of floating-point sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup Corr Correlation
+
+ Correlation is a mathematical operation that is similar to convolution.
+ As with convolution, correlation uses two signals to produce a third signal.
+ The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.
+ Correlation is commonly used to measure the similarity between two signals.
+ It has applications in pattern recognition, cryptanalysis, and searching.
+ The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.
+ Fast versions of the Q15 and Q31 functions are also provided.
+
+ @par Algorithm
+ Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.
+ The convolution of the two signals is denoted by
+ + c[n] = a[n] * b[n] ++ In correlation, one of the signals is flipped in time +
+ c[n] = a[n] * b[-n] ++ @par + and this is mathematically defined as + \image html CorrelateEquation.gif + @par + The
pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen.
+ The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2).
+ The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result.
+
+ @note
+ The pDst should be initialized to all zeros before being used.
+
+ @par Fixed-Point Behavior
+ Correlation requires summing up a large number of intermediate products.
+ As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.
+ Refer to the function specific documentation below for further details of the particular algorithm used.
+
+ @par Fast Versions
+ Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
+ the input signals should be scaled down to avoid intermediate overflows.
+
+ @par Opt Versions
+ Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+ These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of correlate
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of floating-point sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+
+void arm_correlate_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst)
+{
+ const float32_t *pIn1 = pSrcA; /* inputA pointer */
+ const float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ const float32_t *pX, *pY;
+ const float32_t *pA, *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 4U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -4;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 4;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ float32_t acc0;
+ float32_t acc1;
+
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ float32_t acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count);
+
+ *pDst = acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ float32_t acc0;
+ float32_t acc1;
+ float32_t acc2;
+ float32_t acc3;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F32(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ *pDst = acc2;
+ pDst += incr;
+ *pDst = acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ float32_t acc0;
+ float32_t acc1;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ float32_t acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, srcBLen);
+
+ *pDst = acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ float32_t acc0;
+ float32_t acc1;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ float32_t acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count);
+
+ *pDst = acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst)
+{
+
+#if defined(ARM_MATH_DSP) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ const float32_t *pIn1; /* InputA pointer */
+ const float32_t *pIn2; /* InputB pointer */
+ float32_t *pOut = pDst; /* Output pointer */
+ const float32_t *px; /* Intermediate inputA pointer */
+ const float32_t *py; /* Intermediate inputB pointer */
+ const float32_t *pSrc1;
+ float32_t sum;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+ float32_t acc0, acc1, acc2, acc3,c0; /* Accumulators */
+#if !defined(ARM_MATH_NEON)
+ float32_t x0, x1, x2, x3; /* temporary variables for holding input and coefficient values */
+#endif
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we assume zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding has to be done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t x,y;
+ float32x4_t res = vdupq_n_f32(0) ;
+ float32x2_t accum = vdup_n_f32(0);
+
+ while (k > 0U)
+ {
+ x = vld1q_f32(px);
+ y = vld1q_f32(py);
+
+ res = vmlaq_f32(res,x, y);
+
+ px += 4;
+ py += 4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+ sum += accum[0] + accum[1];
+
+ k = count & 0x3;
+#else
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum += *px++ * *py++;
+
+ /* x[1] * y[srcBLen - 3] */
+ sum += *px++ * *py++;
+
+ /* x[2] * y[srcBLen - 2] */
+ sum += *px++ * *py++;
+
+ /* x[3] * y[srcBLen - 1] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t c;
+ float32x4_t x1v;
+ float32x4_t x2v;
+ float32x4_t x;
+ float32x4_t res = vdupq_n_f32(0) ;
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+#if defined(ARM_MATH_NEON)
+ /* Compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ res = vdupq_n_f32(0) ;
+
+ x1v = vld1q_f32(px);
+ px += 4;
+ do
+ {
+ x2v = vld1q_f32(px);
+ c = vld1q_f32(py);
+
+ py += 4;
+
+ x = x1v;
+ res = vmlaq_n_f32(res,x,c[0]);
+
+ x = vextq_f32(x1v,x2v,1);
+
+ res = vmlaq_n_f32(res,x,c[1]);
+
+ x = vextq_f32(x1v,x2v,2);
+
+ res = vmlaq_n_f32(res,x,c[2]);
+
+ x = vextq_f32(x1v,x2v,3);
+
+ res = vmlaq_n_f32(res,x,c[3]);
+
+ x1v = x2v;
+ px+=4;
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen & 0x3;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *(py++);
+
+ res = vmlaq_n_f32(res,x1v,c0);
+
+ /* Reuse the present samples for the next MAC */
+ x1v[0] = x1v[1];
+ x1v[1] = x1v[2];
+ x1v[2] = x1v[3];
+
+ x1v[3] = *(px++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ px-=1;
+
+ acc0 = res[0];
+ acc1 = res[1];
+ acc2 = res[2];
+ acc3 = res[3];
+#else
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *(py++);
+ /* Read x[3] sample */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 += x0 * c0;
+ /* acc1 += x[1] * y[0] */
+ acc1 += x1 * c0;
+ /* acc2 += x[2] * y[0] */
+ acc2 += x2 * c0;
+ /* acc3 += x[3] * y[0] */
+ acc3 += x3 * c0;
+
+ /* Read y[1] sample */
+ c0 = *(py++);
+ /* Read x[4] sample */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 += x1 * c0;
+ /* acc1 += x[2] * y[1] */
+ acc1 += x2 * c0;
+ /* acc2 += x[3] * y[1] */
+ acc2 += x3 * c0;
+ /* acc3 += x[4] * y[1] */
+ acc3 += x0 * c0;
+
+ /* Read y[2] sample */
+ c0 = *(py++);
+ /* Read x[5] sample */
+ x1 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[2] */
+ acc0 += x2 * c0;
+ /* acc1 += x[3] * y[2] */
+ acc1 += x3 * c0;
+ /* acc2 += x[4] * y[2] */
+ acc2 += x0 * c0;
+ /* acc3 += x[5] * y[2] */
+ acc3 += x1 * c0;
+
+ /* Read y[3] sample */
+ c0 = *(py++);
+ /* Read x[6] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[3] * y[3] */
+ acc0 += x3 * c0;
+ /* acc1 += x[4] * y[3] */
+ acc1 += x0 * c0;
+ /* acc2 += x[5] * y[3] */
+ acc2 += x1 * c0;
+ /* acc3 += x[6] * y[3] */
+ acc3 += x2 * c0;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *(py++);
+ /* Read x[7] sample */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[4] * y[4] */
+ acc0 += x0 * c0;
+ /* acc1 += x[5] * y[4] */
+ acc1 += x1 * c0;
+ /* acc2 += x[6] * y[4] */
+ acc2 += x2 * c0;
+ /* acc3 += x[7] * y[4] */
+ acc3 += x3 * c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = acc0;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = acc1;
+ pOut += inc;
+
+ *pOut = acc2;
+ pOut += inc;
+
+ *pOut = acc3;
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t x,y;
+ float32x4_t res = vdupq_n_f32(0) ;
+ float32x2_t accum = vdup_n_f32(0);
+
+ while (k > 0U)
+ {
+ x = vld1q_f32(px);
+ y = vld1q_f32(py);
+
+ res = vmlaq_f32(res,x, y);
+
+ px += 4;
+ py += 4;
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+ sum += accum[0] + accum[1];
+#else
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+ sum += *px++ * *py++;
+ sum += *px++ * *py++;
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+#endif /* #if defined(ARM_MATH_NEON) */
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+ /* Loop over srcBLen */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t x,y;
+ float32x4_t res = vdupq_n_f32(0) ;
+ float32x2_t accum = vdup_n_f32(0);
+
+ while (k > 0U)
+ {
+ x = vld1q_f32(px);
+ y = vld1q_f32(py);
+
+ res = vmlaq_f32(res,x, y);
+
+ px += 4;
+ py += 4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+ sum += accum[0] + accum[1];
+#else
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum += *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum += *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum += *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+#endif /* #if defined (ARM_MATH_NEON) */
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const float32_t *pIn1 = pSrcA; /* inputA pointer */
+ const float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ float32_t sum; /* Accumulator */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we assume zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+
+ }
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0.0f;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if ((((i - j) < srcBLen) && (j < srcALen)))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += pIn1[j] * pIn2[-((int32_t) i - j)];
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = sum;
+ else
+ *pDst++ = sum;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
new file mode 100644
index 0000000..13661cb
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
@@ -0,0 +1,345 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_fast_opt_q15.c
+ * Description: Fast Q15 Correlation
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence.
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+ The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+void arm_correlate_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch)
+{
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q31_t acc0; /* Accumulators */
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1 = pScratch; /* Temporary pointer for scratch */
+ const q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, blkCnt, outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Destination address modifier */
+ uint32_t tapCnt; /* Loop count */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x1, x2, x3; /* Temporary variables for holding input and coefficient values */
+ q31_t y1, y2; /* State variables */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ pScr1 = pScratch;
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pIn2;
+
+
+ /* Actual correlation process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x2, y2, acc0);
+ acc2 = __SMLAD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+ acc1 = __SMLADX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the results in the accumulators in the destination buffer. */
+ *pOut = (__SSAT(acc0 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc1 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc2 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc3 >> 15U, 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 4U;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate correlation for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read next two samples from scratch buffer */
+ acc0 += (*pScr1++ * *pIn2++);
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ ** Then store the output in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 1U;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
new file mode 100644
index 0000000..6898618
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
@@ -0,0 +1,614 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_fast_q15.c
+ * Description: Fast Q15 Correlation
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+ The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+void arm_correlate_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary variables for holding input and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first loop starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* x[0] * y[srcBLen - 1] */
+ sum = __SMLAD(*px++, *py++, sum);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* --------------------
+ * Stage2 process
+ * -------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unroll over blockSize2, by 4 */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the first two inputB samples using SIMD:
+ * y[0] and y[1] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[0] + x[1] * y[1] */
+ acc0 = __SMLAD(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[0] + x[2] * y[1] */
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[0] + x[3] * y[1] */
+ acc2 = __SMLAD(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[0] + x[4] * y[1] */
+ acc3 = __SMLAD(x3, c0, acc3);
+
+ /* Read y[2] and y[3] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[2] + x[3] * y[3] */
+ acc0 = __SMLAD(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[2] + x[4] * y[3] */
+ acc1 = __SMLAD(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[2] + x[5] * y[3] */
+ acc2 = __SMLAD(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[2] + x[6] * y[3] */
+ acc3 = __SMLAD(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ * So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[4] */
+ c0 = *py;
+
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD (x0, c0, acc0);
+ acc1 = __SMLAD (x1, c0, acc1);
+ acc2 = __SMLADX(x1, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+ acc2 = __SMLAD(x3, c0, acc2);
+ acc3 = __SMLAD(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+ acc2 = __SMLAD(x3, c0, acc2);
+ acc3 = __SMLAD(x2, c0, acc3);
+
+ c0 = (*py);
+ /* Read y[6] */
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLADX(x1, c0, acc0);
+ acc1 = __SMLAD (x2, c0, acc1);
+ acc2 = __SMLADX(x2, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (acc0 >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q15_t) (acc1 >> 15);
+ pOut += inc;
+
+ *pOut = (q15_t) (acc2 >> 15);
+ pOut += inc;
+
+ *pOut = (q15_t) (acc3 >> 15);
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) *px++ * *py++);
+ sum += ((q31_t) *px++ * *py++);
+ sum += ((q31_t) *px++ * *py++);
+ sum += ((q31_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) * px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLAD(*px++, *py++, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement the MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
new file mode 100644
index 0000000..a5840b7
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
@@ -0,0 +1,601 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_fast_q31.c
+ * Description: Fast Q31 Correlation
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q31 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are accumulated in a 32-bit register in 2.30 format.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signals must be scaled down.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+
+ @remark
+ Refer to \ref arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.
+ */
+
+void arm_correlate_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1; /* Intermediate pointers */
+ q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, x3, c0; /* Temporary variables for holding input and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* x[1] * y[srcBLen - 3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* x[2] * y[srcBLen - 2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* x[3] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unroll over blockSize2, by 4 */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *py++;
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[1] * y[0] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[2] * y[0] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[3] * y[0] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+
+ /* Read y[1] sample */
+ c0 = *py++;
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc1 += x[2] * y[1] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc2 += x[3] * y[1] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc3 += x[4] * y[1] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+
+ /* Read y[2] sample */
+ c0 = *py++;
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[2] * y[2] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc1 += x[3] * y[2] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc2 += x[4] * y[2] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc3 += x[5] * y[2] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+
+ /* Read y[3] sample */
+ c0 = *py++;
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[3] * y[3] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc1 += x[4] * y[3] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc2 += x[5] * y[3] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc3 += x[6] * y[3] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *py++;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[4] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[5] * y[4] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[6] * y[4] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[7] * y[4] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (acc0 << 1);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q31_t) (acc1 << 1);
+ pOut += inc;
+
+ *pOut = (q31_t) (acc2 << 1);
+ pOut += inc;
+
+ *pOut = (q31_t) (acc3 << 1);
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1U;
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
new file mode 100644
index 0000000..d46d9a0
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_opt_q15.c
+ * Description: Correlation of Q15 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+ Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function.
+ */
+
+void arm_correlate_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch)
+{
+ q63_t acc0; /* Accumulators */
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1; /* Temporary pointer for scratch1 */
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, blkCnt, outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Output pointer increment */
+ uint32_t tapCnt;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x1, x2, x3; /* Temporary variables for holding input1 and input2 values */
+ q31_t y1, y2; /* State variables */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (srcALen * 2U) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ pScr1 = pScratch;
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pIn2;
+
+
+ /* Actual correlation process starts here */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLALD(x1, y1, acc0);
+ acc2 = __SMLALD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLALDX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumlate */
+ acc0 = __SMLALD(x2, y2, acc0);
+ acc2 = __SMLALD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y1, acc3);
+ acc1 = __SMLALDX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+
+ /* Store the results in the accumulators in the destination buffer. */
+ *pOut = (__SSAT(acc0 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc1 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc2 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc3 >> 15U, 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 4U;
+ }
+
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate correlation for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read next two samples from scratch1 buffer */
+ acc0 += (*pScr1++ * *pIn2++);
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 1U;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
new file mode 100644
index 0000000..035bfba
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
@@ -0,0 +1,388 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_opt_q7.c
+ * Description: Correlation of Q7 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ */
+
+void arm_correlate_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */
+ q15_t x4; /* Temporary input variable */
+ q15_t *py; /* Temporary input2 pointer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */
+ uint32_t j, k, blkCnt, tapCnt; /* Loop counter */
+ int32_t inc = 1; /* Output pointer increment */
+ uint32_t outBlockSize; /* Loop counter */
+ q31_t x1, x2, x3, y1; /* Temporary input variables */
+ q7_t *pOut = pDst; /* Output pointer */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (srcALen * 2U) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+
+ /* Copy (srcBLen) samples in scratch buffer */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcALen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ No loop unrolling is used. */
+ k = srcALen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) * pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* Initialization of pScr2 pointer */
+ pScr2 = pScratch2;
+
+ /* Actual correlation process starts here */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ /* multiply and accumlate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumlate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x2, y1, acc0);
+
+ acc2 = __SMLAD(x1, y1, acc2);
+
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pScr2);
+ acc1 += (*pScr1++ * *pScr2);
+ acc2 += (*pScr1++ * *pScr2);
+ acc3 += (*pScr1++ * *pScr2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ pOut += inc;
+ *pOut = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ pOut += inc;
+ *pOut = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ pOut += inc;
+ *pOut = (q7_t) (__SSAT(acc3 >> 7U, 8));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+ /* Calculate correlation for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (*pScr1++ * *pScr2++);
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumlate the results */
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 1U;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
new file mode 100644
index 0000000..0ec4ab7
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
@@ -0,0 +1,903 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_q15.c
+ * Description: Correlation of Q15 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+ Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function.
+ @remark
+ Refer to \ref arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+#if defined(ARM_MATH_MVEI)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+void arm_correlate_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+ const q15_t *pIn1 = pSrcA; /* inputA pointer */
+ const q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q15_t *pX;
+ const q15_t *pY;
+ const q15_t *pA;
+ const q15_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 2U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -2;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 2;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count);
+
+ *pDst = (q15_t) acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ *pDst = (q15_t) acc2;
+ pDst += incr;
+ *pDst = (q15_t) acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, srcBLen);
+
+ *pDst = (q15_t) acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count);
+
+ *pDst = (q15_t) acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables for holding input and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (srcALen * 2U) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first loop starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum = __SMLALD(*px++, *py++, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the first two inputB samples using SIMD:
+ * y[0] and y[1] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[0] + x[1] * y[1] */
+ acc0 = __SMLALD(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[0] + x[2] * y[1] */
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[0] + x[3] * y[1] */
+ acc2 = __SMLALD(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[0] + x[4] * y[1] */
+ acc3 = __SMLALD(x3, c0, acc3);
+
+ /* Read y[2] and y[3] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[2] + x[3] * y[3] */
+ acc0 = __SMLALD(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[2] + x[4] * y[3] */
+ acc1 = __SMLALD(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[2] + x[5] * y[3] */
+ acc2 = __SMLALD(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[2] + x[6] * y[3] */
+ acc3 = __SMLALD(x1, c0, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[4] */
+ c0 = *py;
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD (x0, c0, acc0);
+ acc1 = __SMLALD (x1, c0, acc1);
+ acc2 = __SMLALDX(x1, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+ acc2 = __SMLALD(x3, c0, acc2);
+ acc3 = __SMLALD(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+ acc2 = __SMLALD(x3, c0, acc2);
+ acc3 = __SMLALD(x2, c0, acc3);
+
+ c0 = (*py);
+
+ /* Read y[6] */
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALDX(x1, c0, acc0);
+ acc1 = __SMLALD (x2, c0, acc1);
+ acc2 = __SMLALDX(x2, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT(acc0 >> 15, 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q15_t) (__SSAT(acc1 >> 15, 16));
+ pOut += inc;
+
+ *pOut = (q15_t) (__SSAT(acc2 >> 15, 16));
+ pOut += inc;
+
+ *pOut = (q15_t) (__SSAT(acc3 >> 15, 16));
+ pOut += inc;
+
+ /* Increment the count by 4 as 4 output values are computed */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q63_t) *px++ * *py++);
+ sum += ((q63_t) *px++ * *py++);
+ sum += ((q63_t) *px++ * *py++);
+ sum += ((q63_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q63_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment count by 1, as one output value is computed */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q63_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = __SMLALD(*px++, *py++, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ const q15_t *pIn1 = pSrcA; /* InputA pointer */
+ const q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */
+ q63_t sum; /* Accumulators */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we include zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+ }
+
+ /* Loop to calculate convolution for output length number of values */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = (q15_t) __SSAT((sum >> 15U), 16U);
+ else
+ *pDst++ = (q15_t) __SSAT((sum >> 15U), 16U);
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
new file mode 100644
index 0000000..1c3e33b
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
@@ -0,0 +1,879 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_q31.c
+ * Description: Correlation of Q31 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q31 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_correlate_fast_q31() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+void arm_correlate_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+ const q31_t *pIn1 = pSrcA; /* inputA pointer */
+ const q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q31_t *pX;
+ const q31_t *pY;
+ const q31_t *pA;
+ const q31_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 4; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialization of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -4;
+
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 4;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ /* compute 2 accumulators per loop */
+ /* size is incrementing for second accumulator */
+ /* Y pointer is decrementing for second accumulator */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count);
+
+ *pDst = (q31_t) acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /* compute 4 accumulators per loop */
+ /* size is fixed for all accumulators */
+ /* X pointer is incrementing for successive accumulators */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ *pDst = (q31_t) acc2;
+ pDst += incr;
+ *pDst = (q31_t) acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /* compute 2 accumulators per loop */
+ /* size is fixed for all accumulators */
+ /* X pointer is incrementing for second accumulator */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, srcBLen);
+
+ *pDst = (q31_t) acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /* compute 2 accumulators per loop */
+ /* size is decrementing for second accumulator */
+ /* X pointer is incrementing for second accumulator */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count);
+
+ *pDst = (q31_t) acc;
+ pDst += incr;
+ pA++;
+ }
+}
+#else
+void arm_correlate_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1; /* Intermediate pointers */
+ q63_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables for holding input and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* x[1] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* x[2] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* x[3] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unroll by 3 */
+ blkCnt = blockSize2 / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Apply loop unrolling and compute 3 MACs simultaneously. */
+ k = srcBLen / 3;
+
+ /* First part of the processing with loop unrolling. Compute 3 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *(py);
+ /* Read x[2] sample */
+ x2 = *(px);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[1] * y[0] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[2] * y[0] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Read y[1] sample */
+ c0 = *(py + 1U);
+ /* Read x[3] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 += ((q63_t) x1 * c0);
+ /* acc1 += x[2] * y[1] */
+ acc1 += ((q63_t) x2 * c0);
+ /* acc2 += x[3] * y[1] */
+ acc2 += ((q63_t) x0 * c0);
+
+ /* Read y[2] sample */
+ c0 = *(py + 2U);
+ /* Read x[4] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[2] */
+ acc0 += ((q63_t) x2 * c0);
+ /* acc1 += x[3] * y[2] */
+ acc1 += ((q63_t) x0 * c0);
+ /* acc2 += x[4] * y[2] */
+ acc2 += ((q63_t) x1 * c0);
+
+ /* update scratch pointers */
+ px += 3U;
+ py += 3U;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen - (3 * (srcBLen / 3));
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *(py++);
+
+ /* Read x[7] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[4] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[5] * y[4] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[6] * y[4] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (acc0 >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q31_t) (acc1 >> 31);
+ pOut += inc;
+
+ *pOut = (q31_t) (acc2 >> 31);
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 3 */
+ count += 3U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *px++ * *py++;
+ sum += (q63_t) *px++ * *py++;
+ sum += (q63_t) *px++ * *py++;
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q31_t *pIn1 = pSrcA; /* InputA pointer */
+ const q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */
+ q63_t sum; /* Accumulators */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we include zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using correlation but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+ }
+
+ /* Loop to calculate correlation for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to correlation equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = (q31_t) (sum >> 31U);
+ else
+ *pDst++ = (q31_t) (sum >> 31U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
new file mode 100644
index 0000000..113fdbc
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
@@ -0,0 +1,1002 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_q7.c
+ * Description: Correlation of Q7 sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.
+
+ @remark
+ Refer to \ref arm_correlate_opt_q7() for a faster implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+#include "arm_helium_utils.h"
+
+#include "arm_vec_filtering.h"
+void arm_correlate_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+ const q7_t *pIn1 = pSrcA; /* inputA pointer */
+ const q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ const q7_t *pX, *pY;
+ const q7_t *pA, *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 1U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -1;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count);
+
+ *pDst = (q7_t) acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+ int32_t acc2 = 0;
+ int32_t acc3 = 0;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ *pDst = (q7_t) acc2;
+ pDst += incr;
+ *pDst = (q7_t) acc3;
+ pDst += incr;
+
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ int32_t acc0 = 0LL;
+ int32_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ int32_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, srcBLen);
+
+ *pDst = (q7_t) acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+ uint32_t count = (i + 1);
+ int32_t acc0 = 0LL;
+ int32_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count);
+
+ *pDst = (q7_t) acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q7_t *pIn1; /* InputA pointer */
+ const q7_t *pIn2; /* InputB pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ const q7_t *px; /* Intermediate inputA pointer */
+ const q7_t *py; /* Intermediate inputB pointer */
+ const q7_t *pSrc1; /* Intermediate pointers */
+ q31_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t input1, input2; /* Temporary input variables */
+ q15_t in1, in2; /* Temporary input variables */
+ q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables for holding input and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] , x[1] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 4] , y[srcBLen - 3] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[0] * y[srcBLen - 4] */
+ /* x[1] * y[srcBLen - 3] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[2] , x[3] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 2] , y[srcBLen - 1] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[2] * y[srcBLen - 2] */
+ /* x[3] * y[srcBLen - 1] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q31_t) ((q15_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *py++;
+ /* Read y[1] sample */
+ c1 = *py++;
+
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* x[0] and x[1] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[0] and y[1] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[0] * y[0] + x[1] * y[1] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[1] and x[2] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[1] * y[0] + x[2] * y[1] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[2] * y[0] + x[3] * y[1] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[3] * y[0] + x[4] * y[1] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ /* Read y[2] sample */
+ c0 = *py++;
+ /* Read y[3] sample */
+ c1 = *py++;
+
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[2] and y[3] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[2] * y[2] + x[3] * y[3] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[3] * y[2] + x[4] * y[3] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[4] and x[5] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[4] * y[2] + x[5] * y[3] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* x[5] and x[6] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[5] * y[2] + x[6] * y[3] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *py++;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[4] */
+ acc0 += ((q15_t) x0 * c0);
+ /* acc1 += x[5] * y[4] */
+ acc1 += ((q15_t) x1 * c0);
+ /* acc2 += x[6] * y[4] */
+ acc2 += ((q15_t) x2 * c0);
+ /* acc3 += x[7] * y[4] */
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(acc0 >> 7, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q7_t) (__SSAT(acc1 >> 7, 8));
+ pOut += inc;
+
+ *pOut = (q7_t) (__SSAT(acc2 >> 7, 8));
+ pOut += inc;
+
+ *pOut = (q7_t) (__SSAT(acc3 >> 7, 8));
+ pOut += inc;
+
+ count += 4U;
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[0] , y[1] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[2] , y[3] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q7_t *pIn1 = pSrcA; /* InputA pointer */
+ const q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */
+ q31_t sum; /* Accumulator */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we include zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+ }
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = (q7_t) __SSAT((sum >> 7U), 8U);
+ else
+ *pDst++ = (q7_t) __SSAT((sum >> 7U), 8U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
new file mode 100644
index 0000000..86c7875
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
@@ -0,0 +1,951 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_f32.c
+ * Description: FIR decimation for floating-point sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator
+
+ These functions combine an FIR filter together with a decimator.
+ They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion.
+ Conceptually, the functions are equivalent to the block diagram below:
+ \image html FIRDecimator.gif "Components included in the FIR Decimator functions"
+ When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized
+ cutoff frequency of 1/M in order to prevent aliasing distortion.
+ The user of the function is responsible for providing the filter coefficients.
+
+ The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner.
+ Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the
+ samples output by the decimator are computed.
+ The functions operate on blocks of input and output data.
+ pSrc points to an array of blockSize input values and
+ pDst points to an array of blockSize/M output values.
+ In order to have an integer number of output samples blockSize
+ must always be a multiple of the decimation factor M.
+
+ The library provides separate functions for Q15, Q31 and floating-point data types.
+
+ @par Algorithm:
+ The FIR portion of the algorithm uses the standard form filter:
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ where,
b[n] are the filter coefficients.
+ @par
+ The pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the order:
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable array should be allocated separately.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ - Checks to make sure that the size of the input is a multiple of the decimation factor.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};
+ arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};
+ arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};
+
+ where M is the decimation factor; numTaps is the number of filter coefficients in the filter;
+ pCoeffs is the address of the coefficient buffer;
+ pState is the address of the state buffer.
+ Be sure to set the values in the state buffer to zeros when doing static initialization.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR decimate filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR decimator.
+ @param[in] S points to an instance of the floating-point FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ const float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+ uint32_t blkCntN4;
+ const float32_t *px0, *px1, *px2, *px3;
+ f32x4_t accv, acc0v, acc1v, acc2v, acc3v;
+ f32x4_t x0v, x1v, x2v, x3v;
+ f32x4_t c0v;
+
+ /*
+ * S->pState buffer contains previous frame (numTaps - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (numTaps - 1U);
+ /*
+ * Total number of output samples to be computed
+ */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy 4 * decimation factor number of new input samples into the state buffer
+ */
+ i = (4 * S->M) >> 2;
+ do
+ {
+ vst1q(pStateCurnt, vld1q((const float32_t *)pSrc));
+ pSrc += 4;
+ pStateCurnt += 4;
+ i--;
+ }
+ while (i > 0U);
+
+ /*
+ * Set accumulators to zero
+ */
+ acc0v = vdupq_n_f32(0.0f);
+ acc1v = vdupq_n_f32(0.0f);
+ acc2v = vdupq_n_f32(0.0f);
+ acc3v = vdupq_n_f32(0.0f);
+
+ /*
+ * Initialize state pointer for all the samples
+ */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+ /*
+ * Initialize coeff pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vld1q((const float32_t *)pb);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vfmaq(acc0v, x0v, c0v);
+ acc1v = vfmaq(acc1v, x1v, c0v);
+ acc2v = vfmaq(acc2v, x2v, c0v);
+ acc3v = vfmaq(acc3v, x3v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ /*
+ * If the filter length is not a multiple of 4, compute the remaining filter taps
+ * should be tail predicated
+ */
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrwq_z_f32(pb, p0);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vfmaq_f32(acc0v, x0v, c0v);
+ acc1v = vfmaq_f32(acc1v, x1v, c0v);
+ acc2v = vfmaq_f32(acc2v, x2v, c0v);
+ acc3v = vfmaq_f32(acc3v, x3v, c0v);
+ }
+
+ /* reduction */
+ accv[0] = vecAddAcrossF32Mve(acc0v);
+ accv[1] = vecAddAcrossF32Mve(acc1v);
+ accv[2] = vecAddAcrossF32Mve(acc2v);
+ accv[3] = vecAddAcrossF32Mve(acc3v);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + 4 * S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ vst1q(pDst, accv);
+ pDst += 4;
+
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /*
+ * Copy decimation factor number of new input samples into the state buffer
+ */
+ i = S->M;
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+ }
+ while (--i);
+ /*
+ * Set accumulator to zero
+ */
+ acc0v = vdupq_n_f32(0.0f);
+ /*
+ * Initialize state pointer
+ */
+ px = pState;
+ /*
+ * Initialize coeff pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ c0v = vldrwq_f32(pb);
+ x0v = vldrwq_f32(px);
+ pb += 4;
+ px += 4;
+ acc0v = vfmaq_f32(acc0v, x0v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ c0v = vldrwq_z_f32(pb, p0);
+ x0v = vldrwq_f32(px);
+ acc0v = vfmaq_f32(acc0v, x0v, c0v);
+ }
+ accv[0] = vecAddAcrossF32Mve(acc0v);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * * to process the next group of decimation factor number samples
+ */
+ pState = pState + S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ *pDst++ = accv[0];
+ /*
+ * Decrement the loop counter
+ */
+ blkCntN4--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last numTaps - 1 samples to the start of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+
+ pStateCurnt = S->pState;
+ blkCnt =(numTaps - 1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_f32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0);
+ }
+}
+#else
+#if defined(ARM_MATH_NEON)
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t sum0; /* Accumulator */
+ float32_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+ uint32_t blkCntN4;
+ float32_t *px0, *px1, *px2, *px3;
+ float32_t x1, x2, x3;
+
+ float32x4_t accv,acc0v,acc1v,acc2v,acc3v;
+ float32x4_t x0v, x1v, x2v, x3v;
+ float32x4_t c0v;
+ float32x2_t temp;
+ float32x4_t sum0v;
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = 4 * S->M;
+
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0v = vdupq_n_f32(0.0);
+ acc1v = vdupq_n_f32(0.0);
+ acc2v = vdupq_n_f32(0.0);
+ acc3v = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Loop over the number of taps.
+ ** Repeat until we've computed numTaps-4 coefficients. */
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0v = vld1q_f32(pb);
+ pb += 4;
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0v = vld1q_f32(px0);
+ x1v = vld1q_f32(px1);
+ x2v = vld1q_f32(px2);
+ x3v = vld1q_f32(px3);
+
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vmlaq_f32(acc0v, x0v, c0v);
+ acc1v = vmlaq_f32(acc1v, x1v, c0v);
+ acc2v = vmlaq_f32(acc2v, x2v, c0v);
+ acc3v = vmlaq_f32(acc3v, x3v, c0v);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ temp = vpadd_f32(vget_low_f32(acc0v),vget_high_f32(acc0v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,0);
+
+ temp = vpadd_f32(vget_low_f32(acc1v),vget_high_f32(acc1v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,1);
+
+ temp = vpadd_f32(vget_low_f32(acc2v),vget_high_f32(acc2v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,2);
+
+ temp = vpadd_f32(vget_low_f32(acc3v),vget_high_f32(acc3v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,3);
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 0) + x0 * c0,accv,0);
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 1) + x1 * c0,accv,1);
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 2) + x2 * c0,accv,2);
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 3) + x3 * c0,accv,3);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + 4 * S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ vst1q_f32(pDst,accv);
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0v = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Loop over the number of taps.
+ ** Repeat until we've computed numTaps-4 coefficients. */
+ while (tapCnt > 0U)
+ {
+ c0v = vld1q_f32(pb);
+ pb += 4;
+
+ x0v = vld1q_f32(px);
+ px += 4;
+
+ sum0v = vmlaq_f32(sum0v, x0v, c0v);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ temp = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v));
+ sum0 = vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1);
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Decrement the loop counter */
+ blkCntN4--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ i = (numTaps - 1U) >> 2;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ sum0v = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,sum0v);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+}
+#else
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ float32_t *px0; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ float32_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t *px1, *px2, *px3;
+ float32_t x1, x2, x3;
+ float32_t acc1, acc2, acc3;
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 samples at a time */
+ blkCnt = outBlockSize >> 2U;
+
+ /* Samples loop unrolled by 4 */
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 4;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0 = *(px0++);
+ /* Read x[n-numTaps-1] sample for acc1 */
+ x1 = *(px1++);
+ /* Read x[n-numTaps-1] sample for acc2 */
+ x2 = *(px2++);
+ /* Read x[n-numTaps-1] sample for acc3 */
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 4;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = acc0;
+ *pDst++ = acc1;
+ *pDst++ = acc2;
+ *pDst++ = acc3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining samples */
+ blkCnt = outBlockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0.0f;
+
+ /* Initialize state pointer */
+ px0 = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = acc0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+#endif /*defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
new file mode 100644
index 0000000..948b15c
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
@@ -0,0 +1,595 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_fast_q15.c
+ * Description: Fast Q15 FIR Decimator
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR decimator (fast variant).
+ @param[in] S points to an instance of the Q15 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of input samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around and distorts the result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2).
+ The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.
+ @remark
+ Refer to \ref arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.
+ Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_decimate_init_q15() to initialize the filter structure.
+ */
+
+#if defined (ARM_MATH_DSP)
+
+void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q31_t sum0; /* Accumulators */
+ q31_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch state variables for acc0, acc1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficients */
+ c1 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLAD(x0, c0, sum0);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLAD(x0, c1, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLAD(x0, c0, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+}
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q31_t sum0; /* Accumulators */
+ q31_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the Read b[numTaps-1] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+}
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
new file mode 100644
index 0000000..2c3a28a
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
@@ -0,0 +1,390 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_fast_q31.c
+ * Description: Fast Q31 FIR Decimator
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR decimator (fast variant).
+ @param[in] S points to an instance of the Q31 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are added to a 2.30 accumulator.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).
+
+ @remark
+ Refer to \ref arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.
+ Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_decimate_init_q31() to initialize the filter structure.
+ */
+
+void arm_fir_decimate_fast_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *px0; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t *px1, *px2, *px3;
+ q31_t x1, x2, x3;
+ q63_t acc1, acc2, acc3;
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 samples at a time */
+ blkCnt = outBlockSize >> 2U;
+
+ /* Samples loop unrolled by 4 */
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 4;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0 = *(px0++);
+ /* Read x[n-numTaps-1] sample for acc1 */
+ x1 = *(px1++);
+ /* Read x[n-numTaps-1] sample for acc2 */
+ x2 = *(px2++);
+ /* Read x[n-numTaps-1] sample for acc3 */
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 4;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+ *pDst++ = (q31_t) (acc1 << 1);
+ *pDst++ = (q31_t) (acc2 << 1);
+ *pDst++ = (q31_t) (acc3 << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining samples */
+ blkCnt = outBlockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
new file mode 100644
index 0000000..9382f09
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_init_f32.c
+ * Description: Floating-point FIR Decimator initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR decimator.
+ @param[in,out] S points to an instance of the floating-point FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_f32().
+ M is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_f32(
+ arm_fir_decimate_instance_f32 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The size of the input block must be a multiple of the decimation factor */
+ if ((blockSize % M) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Decimation Factor */
+ S->M = M;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
new file mode 100644
index 0000000..f583a03
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_init_q15.c
+ * Description: Initialization function for the Q15 FIR Decimator
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR decimator.
+ @param[in,out] S points to an instance of the Q15 FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples
+ to the call arm_fir_decimate_q15().
+ M is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_q15(
+ arm_fir_decimate_instance_q15 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The size of the input block must be a multiple of the decimation factor */
+ if ((blockSize % M) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Decimation Factor */
+ S->M = M;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
new file mode 100644
index 0000000..5ee69c6
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_init_q31.c
+ * Description: Initialization function for Q31 FIR Decimation filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR decimator.
+ @param[in,out] S points to an instance of the Q31 FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_q31().
+ M is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_q31(
+ arm_fir_decimate_instance_q31 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The size of the input block must be a multiple of the decimation factor */
+ if ((blockSize % M) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Decimation Factor */
+ S->M = M;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
new file mode 100644
index 0000000..c48a233
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
@@ -0,0 +1,852 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_q15.c
+ * Description: Q15 FIR Decimator
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR decimator.
+ @param[in] S points to an instance of the Q15 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of input samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+
+ @remark
+ Refer to \ref arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ const q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+ uint32_t blkCntN4;
+ const q15_t *px0, *px1, *px2, *px3;
+ q63_t acc0v, acc1v, acc2v, acc3v;
+ q15x8_t x0v, x1v, x2v, x3v;
+ q15x8_t c0v;
+
+ /*
+ * S->pState buffer contains previous frame (numTaps - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (numTaps - 1U);
+ /*
+ * Total number of output samples to be computed
+ */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Need extra temp variables as 4 * S->M is not necessarily a multiple of 8
+ * and cause final tail predicated post incremented pointers to jump ahead
+ */
+ const q15_t *pSrcTmp = pSrc;
+ q15_t *pStateCurntTmp = pStateCurnt;
+
+ /*
+ * Copy 4 * decimation factor number of new input samples into the state buffer
+ */
+ i = (4 * S->M) >> 3;
+ while (i > 0U)
+ {
+ vstrhq_s16(pStateCurntTmp, vldrhq_s16(pSrcTmp));
+ pSrcTmp += 8;
+ pStateCurntTmp += 8;
+ i--;
+ }
+ i = (4 * S->M) & 7;
+ if (i > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(i);
+ vstrhq_p_s16(pStateCurntTmp, vldrhq_s16(pSrcTmp), p0);
+ }
+
+ pSrc += (4 * S->M);
+ pStateCurnt += (4 * S->M);
+
+ /*
+ * Clear all accumulators
+ */
+ acc0v = 0LL;
+ acc1v = 0LL;
+ acc2v = 0LL;
+ acc3v = 0LL;
+ /*
+ * Initialize state pointer for all the samples
+ */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 3;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrhq_s16(pb);
+ pb += 8;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 8;
+ px1 += 8;
+ px2 += 8;
+ px3 += 8;
+
+ acc0v = vmlaldavaq(acc0v, x0v, c0v);
+ acc1v = vmlaldavaq(acc1v, x1v, c0v);
+ acc2v = vmlaldavaq(acc2v, x2v, c0v);
+ acc3v = vmlaldavaq(acc3v, x3v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ /*
+ * If the filter length is not a multiple of 4, compute the remaining filter taps
+ * should be tail predicated
+ */
+ tapCnt = numTaps & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrhq_z_s16(pb, p0);
+ pb += 8;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 8;
+ px1 += 8;
+ px2 += 8;
+ px3 += 8;
+
+ acc0v = vmlaldavaq(acc0v, x0v, c0v);
+ acc1v = vmlaldavaq(acc1v, x1v, c0v);
+ acc2v = vmlaldavaq(acc2v, x2v, c0v);
+ acc3v = vmlaldavaq(acc3v, x3v, c0v);
+ }
+
+ acc0v = asrl(acc0v, 15);
+ acc1v = asrl(acc1v, 15);
+ acc2v = asrl(acc2v, 15);
+ acc3v = asrl(acc3v, 15);
+ /*
+ * store in the destination buffer.
+ */
+ *pDst++ = (q15_t) __SSAT((q31_t) acc0v, 16);
+ *pDst++ = (q15_t) __SSAT((q31_t) acc1v, 16);;
+ *pDst++ = (q15_t) __SSAT((q31_t) acc2v, 16);;
+ *pDst++ = (q15_t) __SSAT((q31_t) acc3v, 16);;
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + 4 * S->M;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /*
+ * Copy decimation factor number of new input samples into the state buffer
+ */
+ i = S->M;
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+ }
+ while (--i);
+ /*
+ * Set accumulator to zero
+ */
+ acc0v = 0LL;
+ /*
+ * Initialize state pointer
+ */
+ px = pState;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 3;
+ while (tapCnt > 0U)
+ {
+ c0v = vldrhq_s16(pb);
+ x0v = vldrhq_s16(px);
+ pb += 8;
+ px += 8;
+ acc0v = vmlaldavaq(acc0v, x0v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = numTaps & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+ c0v = vldrhq_z_s16(pb, p0);
+ x0v = vldrhq_z_s16(px, p0);
+ acc0v = vmlaldavaq_p(acc0v, x0v, c0v, p0);
+ }
+
+ acc0v = asrl(acc0v, 15);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ *pDst++ = (q15_t) __SSAT((q31_t) acc0v, 16);
+ /*
+ * Decrement the loop counter
+ */
+ blkCntN4--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last numTaps - 1 samples to the start of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+
+ pStateCurnt = S->pState;
+ blkCnt = (numTaps - 1) >> 3;
+ while (blkCnt > 0U)
+ {
+ vstrhq_s16(pStateCurnt, vldrhq_s16(pState));
+ pState += 8;
+ pStateCurnt += 8;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pStateCurnt, vldrhq_s16(pState), p0);
+ }
+}
+#else
+#if defined (ARM_MATH_DSP)
+
+void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t sum0; /* Accumulators */
+ q63_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch state variables for acc0, acc1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficients */
+ c1 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLALD(x0, c0, sum0);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLALD(x0, c1, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLALD(x0, c0, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+}
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t sum0; /* Accumulators */
+ q63_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the Read b[numTaps-1] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+}
+
+#endif /* #if defined (ARM_MATH_DSP) */
+#endif /* defined(ARM_MATH_MVEI) */
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
new file mode 100644
index 0000000..b88748e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
@@ -0,0 +1,634 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_q31.c
+ * Description: Q31 FIR Decimator
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR decimator.
+ @param[in] S points to an instance of the Q31 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).
+ After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+
+ @remark
+ Refer to \ref arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ const q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+ uint32_t blkCntN4;
+ const q31_t *px0, *px1, *px2, *px3;
+ q63_t acc0v, acc1v, acc2v, acc3v;
+ q31x4_t x0v, x1v, x2v, x3v;
+ q31x4_t c0v;
+
+ /*
+ * S->pState buffer contains previous frame (numTaps - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (numTaps - 1U);
+ /*
+ * Total number of output samples to be computed
+ */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy 4 * decimation factor number of new input samples into the state buffer
+ */
+ i = (4 * S->M) >> 2;
+ do
+ {
+ vst1q(pStateCurnt, vldrwq_s32(pSrc));
+ pSrc += 4;
+ pStateCurnt += 4;
+ i--;
+ }
+ while (i > 0U);
+
+ /*
+ * Clear all accumulators
+ */
+ acc0v = 0LL;
+ acc1v = 0LL;
+ acc2v = 0LL;
+ acc3v = 0LL;
+ /*
+ * Initialize state pointer for all the samples
+ */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrwq_s32(pb);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vrmlaldavhaq(acc0v, x0v, c0v);
+ acc1v = vrmlaldavhaq(acc1v, x1v, c0v);
+ acc2v = vrmlaldavhaq(acc2v, x2v, c0v);
+ acc3v = vrmlaldavhaq(acc3v, x3v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ /*
+ * If the filter length is not a multiple of 4, compute the remaining filter taps
+ * should be tail predicated
+ */
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrwq_z_s32(pb, p0);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vrmlaldavhaq(acc0v, x0v, c0v);
+ acc1v = vrmlaldavhaq(acc1v, x1v, c0v);
+ acc2v = vrmlaldavhaq(acc2v, x2v, c0v);
+ acc3v = vrmlaldavhaq(acc3v, x3v, c0v);
+ }
+
+ acc0v = asrl(acc0v, 31 - 8);
+ acc1v = asrl(acc1v, 31 - 8);
+ acc2v = asrl(acc2v, 31 - 8);
+ acc3v = asrl(acc3v, 31 - 8);
+ /*
+ * store in the destination buffer.
+ */
+ *pDst++ = (q31_t) acc0v;
+ *pDst++ = (q31_t) acc1v;
+ *pDst++ = (q31_t) acc2v;
+ *pDst++ = (q31_t) acc3v;
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + 4 * S->M;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /*
+ * Copy decimation factor number of new input samples into the state buffer
+ */
+ i = S->M;
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+ }
+ while (--i);
+ /*
+ * Set accumulator to zero
+ */
+ acc0v = 0LL;
+ /*
+ * Initialize state pointer
+ */
+ px = pState;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ c0v = vldrwq_s32(pb);
+ x0v = vldrwq_s32(px);
+ pb += 4;
+ px += 4;
+ acc0v = vrmlaldavhaq(acc0v, x0v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ c0v = vldrwq_z_s32(pb, p0);
+ x0v = vldrwq_z_s32(px, p0);
+ acc0v = vrmlaldavhaq_p(acc0v, x0v, c0v, p0);
+ }
+ acc0v = asrl(acc0v, 31 - 8);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * * to process the next group of decimation factor number samples
+ */
+ pState = pState + S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ *pDst++ = (q31_t) acc0v;
+ /*
+ * Decrement the loop counter
+ */
+ blkCntN4--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last numTaps - 1 samples to the start of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (numTaps - 1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_s32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pStateCurnt, vldrwq_s32(pState), p0);
+ }
+}
+#else
+void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *px0; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t *px1, *px2, *px3;
+ q31_t x1, x2, x3;
+ q63_t acc1, acc2, acc3;
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 samples at a time */
+ blkCnt = outBlockSize >> 2U;
+
+ /* Samples loop unrolled by 4 */
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 4;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0 = *(px0++);
+ /* Read x[n-numTaps-1] sample for acc1 */
+ x1 = *(px1++);
+ /* Read x[n-numTaps-1] sample for acc2 */
+ x2 = *(px2++);
+ /* Read x[n-numTaps-1] sample for acc3 */
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 4;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31);
+ *pDst++ = (q31_t) (acc1 >> 31);
+ *pDst++ = (q31_t) (acc2 >> 31);
+ *pDst++ = (q31_t) (acc3 >> 31);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining samples */
+ blkCnt = outBlockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
new file mode 100644
index 0000000..4ce8dfa
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
@@ -0,0 +1,1305 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_f32.c
+ * Description: Floating-point FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR Finite Impulse Response (FIR) Filters
+
+ This set of functions implements Finite Impulse Response (FIR) filters
+ for Q7, Q15, Q31, and floating-point data types. Fast versions of Q15 and Q31 are also provided.
+ The functions operate on blocks of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst points to input and output arrays containing blockSize values.
+
+ @par Algorithm
+ The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations.
+ Each filter coefficient b[n] is multiplied by a state variable which equals a previous input sample x[n].
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ @par + \image html FIR.GIF "Finite Impulse Response filter" + @par +
pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the following order.
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1.
+ The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters,
+ to be avoided and yields a significant speed improvement.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 4 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 4 different data type filter instance structures
+
+ arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};
+ arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};
+ arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};
+ arm_fir_instance_q7 S = {numTaps, pState, pCoeffs};
+
+ where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer.
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 16 even if less
+ then 16 coefficients are used. The additional coefficients must be set to 0.
+ It does not mean that all the coefficients will be used in the filter (numTaps
+ is still set to its right value in the init function.) It just means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR filter.
+ @param[in] S points to an instance of the floating-point FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+static void arm_fir_f32_1_4_mve(const arm_fir_instance_f32 * S, const float32_t * pSrc, float32_t * pDst, uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ const float32_t *pSamples; /* Temporary pointer to the sample buffer */
+ float32_t *pOutput; /* Temporary pointer to the output buffer */
+ const float32_t *pTempSrc; /* Temporary pointer to the source data */
+ float32_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ f32x4_t vecIn0;
+ f32x4_t vecAcc0;
+ float32_t c0, c1, c2, c3;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+
+ if (((numTaps - 1) / 4) == 0)
+ {
+ const float32_t *pCoeffsCur = pCoeffs;
+
+ c0 = *pCoeffsCur++;
+ c1 = *pCoeffsCur++;
+ c2 = *pCoeffsCur++;
+ c3 = *pCoeffsCur++;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vst1q(pOutput, vecAcc0);
+
+ pOutput += 4;
+ pSamples += 4;
+
+ blkCnt--;
+ }
+
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vstrwq_p_f32(pStateCur, vld1q(pTempSrc),p0);
+ pStateCur += blkCnt;
+ pTempSrc += blkCnt;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vstrwq_p_f32(pOutput, vecAcc0, p0);
+ }
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+
+static void arm_fir_f32_5_8_mve(const arm_fir_instance_f32 * S, const float32_t * pSrc, float32_t * pDst, uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ const float32_t *pSamples; /* Temporary pointer to the sample buffer */
+ float32_t *pOutput; /* Temporary pointer to the output buffer */
+ const float32_t *pTempSrc; /* Temporary pointer to the source data */
+ float32_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ f32x4_t vecIn0;
+ f32x4_t vecAcc0;
+ float32_t c0, c1, c2, c3;
+ float32_t c4, c5, c6, c7;
+ const float32_t *pCoeffsCur = pCoeffs;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+
+ pSamples = pState;
+ pOutput = pDst;
+
+ c0 = *pCoeffsCur++;
+ c1 = *pCoeffsCur++;
+ c2 = *pCoeffsCur++;
+ c3 = *pCoeffsCur++;
+ c4 = *pCoeffsCur++;
+ c5 = *pCoeffsCur++;
+ c6 = *pCoeffsCur++;
+ c7 = *pCoeffsCur++;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+
+ vst1q(pOutput, vecAcc0);
+
+ pOutput += 4;
+ pSamples += 4;
+
+ blkCnt--;
+ }
+
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vstrwq_p_f32(pStateCur, vld1q(pTempSrc),p0);
+ pStateCur += blkCnt;
+ pTempSrc += blkCnt;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+
+ vstrwq_p_f32(pOutput, vecAcc0, p0);
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+const float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ const float32_t *pSamples; /* Temporary pointer to the sample buffer */
+ float32_t *pOutput; /* Temporary pointer to the output buffer */
+ const float32_t *pTempSrc; /* Temporary pointer to the source data */
+ float32_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ int32_t numCnt;
+ f32x4_t vecIn0;
+ f32x4_t vecAcc0;
+ float32_t c0, c1, c2, c3;
+ float32_t c4, c5, c6, c7;
+
+ /*
+ * [1 to 8 taps] specialized routines
+ */
+ if (blockSize >= 8)
+ {
+ if (numTaps <= 4)
+ {
+ arm_fir_f32_1_4_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ }
+ if (blockSize >= 8)
+ {
+ if (numTaps <= 8)
+ {
+ arm_fir_f32_5_8_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ }
+
+ if (blockSize >= 8)
+ {
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ int32_t i;
+ const float32_t *pCoeffsCur = pCoeffs;
+
+ c0 = *pCoeffsCur++;
+ c1 = *pCoeffsCur++;
+ c2 = *pCoeffsCur++;
+ c3 = *pCoeffsCur++;
+ c4 = *pCoeffsCur++;
+ c5 = *pCoeffsCur++;
+ c6 = *pCoeffsCur++;
+ c7 = *pCoeffsCur++;
+
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+
+ pSamples += 8;
+
+ numCnt = ((int32_t)numTaps - 8) / 8;
+
+ for (i = 0; i < numCnt; i++)
+ {
+ c0 = *pCoeffsCur++;
+ c1 = *pCoeffsCur++;
+ c2 = *pCoeffsCur++;
+ c3 = *pCoeffsCur++;
+ c4 = *pCoeffsCur++;
+ c5 = *pCoeffsCur++;
+ c6 = *pCoeffsCur++;
+ c7 = *pCoeffsCur++;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+
+ pSamples += 8;
+ }
+
+ numCnt = ((int32_t)numTaps - 8) & 7;
+
+ while (numCnt > 0)
+ {
+ c0 = *pCoeffsCur++;
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c0);
+ pSamples ++;
+
+ numCnt --;
+ }
+
+ vst1q(pOutput, vecAcc0);
+ pOutput += 4;
+ pSamples = pSamples - numTaps + 4;
+
+ blkCnt--;
+ }
+
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ int32_t i;
+ const float32_t *pCoeffsCur = pCoeffs;
+
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ c0 = *pCoeffsCur++;
+ c1 = *pCoeffsCur++;
+ c2 = *pCoeffsCur++;
+ c3 = *pCoeffsCur++;
+ c4 = *pCoeffsCur++;
+ c5 = *pCoeffsCur++;
+ c6 = *pCoeffsCur++;
+ c7 = *pCoeffsCur++;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+
+ pSamples += 8;
+
+ numCnt = ((int32_t)numTaps - 8) / 8;
+
+ for (i = 0; i < numCnt; i++)
+ {
+ c0 = *pCoeffsCur++;
+ c1 = *pCoeffsCur++;
+ c2 = *pCoeffsCur++;
+ c3 = *pCoeffsCur++;
+ c4 = *pCoeffsCur++;
+ c5 = *pCoeffsCur++;
+ c6 = *pCoeffsCur++;
+ c7 = *pCoeffsCur++;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+
+ pSamples += 8;
+ }
+
+ numCnt = ((int32_t)numTaps - 8) & 7;
+
+ while (numCnt > 0)
+ {
+ c0 = *pCoeffsCur++;
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c0);
+ pSamples ++;
+
+ numCnt --;
+ }
+
+ vstrwq_p_f32(pOutput, vecAcc0, p0);
+ }
+ }
+ else
+ {
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, blkCnt; /* Loop counters */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ blkCnt = blockSize;
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += *px++ * *pb++;
+
+ i--;
+ }
+
+
+ /* Store result in destination buffer. */
+ *pDst++ = acc0;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+const float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointers for state buffer */
+ const float32_t *pb; /* Temporary pointers for coefficient buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+ float32x4_t accv0,accv1,samples0,samples1,x0,x1,x2,xa,xb,b;
+ float32_t acc;
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* Loop unrolling */
+ blkCnt = blockSize >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 8 samples at a time into state buffers */
+ samples0 = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,samples0);
+
+ pStateCurnt += 4;
+ pSrc += 4 ;
+
+ samples1 = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,samples1);
+
+ pStateCurnt += 4;
+ pSrc += 4 ;
+
+ /* Set the accumulators to zero */
+ accv0 = vdupq_n_f32(0);
+ accv1 = vdupq_n_f32(0);
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Loop unroling */
+ i = numTaps >> 2;
+
+ /* Perform the multiply-accumulates */
+ x0 = vld1q_f32(px);
+ x1 = vld1q_f32(px + 4);
+
+ while(i > 0)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ x2 = vld1q_f32(px + 8);
+ b = vld1q_f32(pb);
+ xa = x0;
+ xb = x1;
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 0));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 0));
+
+ xa = vextq_f32(x0,x1,1);
+ xb = vextq_f32(x1,x2,1);
+
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 1));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 1));
+
+ xa = vextq_f32(x0,x1,2);
+ xb = vextq_f32(x1,x2,2);
+
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 2));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 2));
+
+ xa = vextq_f32(x0,x1,3);
+ xb = vextq_f32(x1,x2,3);
+
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 3));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 3));
+
+ pb += 4;
+ x0 = x1;
+ x1 = x2;
+ px += 4;
+ i--;
+
+ }
+
+ /* Tail */
+ i = numTaps & 3;
+ x2 = vld1q_f32(px + 8);
+
+ /* Perform the multiply-accumulates */
+ switch(i)
+ {
+ case 3:
+ {
+ accv0 = vmlaq_n_f32(accv0,x0,*pb);
+ accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+ pb++;
+
+ xa = vextq_f32(x0,x1,1);
+ xb = vextq_f32(x1,x2,1);
+
+ accv0 = vmlaq_n_f32(accv0,xa,*pb);
+ accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+ pb++;
+
+ xa = vextq_f32(x0,x1,2);
+ xb = vextq_f32(x1,x2,2);
+
+ accv0 = vmlaq_n_f32(accv0,xa,*pb);
+ accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+ }
+ break;
+ case 2:
+ {
+ accv0 = vmlaq_n_f32(accv0,x0,*pb);
+ accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+ pb++;
+
+ xa = vextq_f32(x0,x1,1);
+ xb = vextq_f32(x1,x2,1);
+
+ accv0 = vmlaq_n_f32(accv0,xa,*pb);
+ accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+ }
+ break;
+ case 1:
+ {
+
+ accv0 = vmlaq_n_f32(accv0,x0,*pb);
+ accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+ }
+ break;
+ default:
+ break;
+ }
+
+ /* The result is stored in the destination buffer. */
+ vst1q_f32(pDst,accv0);
+ pDst += 4;
+ vst1q_f32(pDst,accv1);
+ pDst += 4;
+
+ /* Advance state pointer by 8 for the next 8 samples */
+ pState = pState + 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 0x7;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc += *px++ * *pb++;
+ i--;
+
+ } while (i > 0U);
+
+ /* The result is stored in the destination buffer. */
+ *pDst++ = acc;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the starting of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ /* Copy numTaps number of values */
+ tapCnt = numTaps - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#else
+void arm_fir_f32(
+ const arm_fir_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */
+ float32_t x0, x1, x2, x3, x4, x5, x6, x7; /* Temporary variables to hold state values */
+ float32_t c0; /* Temporary variable to hold coefficient value */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 8 output values simultaneously.
+ * The variables acc0 ... acc7 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+ acc4 = 0.0f;
+ acc5 = 0.0f;
+ acc6 = 0.0f;
+ acc7 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* This is separated from the others to avoid
+ * a call to __aeabi_memmove which would be slower
+ */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Read the first 7 samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+ x3 = *px++;
+ x4 = *px++;
+ x5 = *px++;
+ x6 = *px++;
+
+ /* Loop unrolling: process 8 taps at a time. */
+ tapCnt = numTaps >> 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample */
+ x7 = *(px++);
+
+ /* acc0 += b[numTaps-1] * x[n-numTaps] */
+ acc0 += x0 * c0;
+
+ /* acc1 += b[numTaps-1] * x[n-numTaps-1] */
+ acc1 += x1 * c0;
+
+ /* acc2 += b[numTaps-1] * x[n-numTaps-2] */
+ acc2 += x2 * c0;
+
+ /* acc3 += b[numTaps-1] * x[n-numTaps-3] */
+ acc3 += x3 * c0;
+
+ /* acc4 += b[numTaps-1] * x[n-numTaps-4] */
+ acc4 += x4 * c0;
+
+ /* acc1 += b[numTaps-1] * x[n-numTaps-5] */
+ acc5 += x5 * c0;
+
+ /* acc2 += b[numTaps-1] * x[n-numTaps-6] */
+ acc6 += x6 * c0;
+
+ /* acc3 += b[numTaps-1] * x[n-numTaps-7] */
+ acc7 += x7 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x1 * c0;
+ acc1 += x2 * c0;
+ acc2 += x3 * c0;
+ acc3 += x4 * c0;
+ acc4 += x5 * c0;
+ acc5 += x6 * c0;
+ acc6 += x7 * c0;
+ acc7 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x2 * c0;
+ acc1 += x3 * c0;
+ acc2 += x4 * c0;
+ acc3 += x5 * c0;
+ acc4 += x6 * c0;
+ acc5 += x7 * c0;
+ acc6 += x0 * c0;
+ acc7 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x3 * c0;
+ acc1 += x4 * c0;
+ acc2 += x5 * c0;
+ acc3 += x6 * c0;
+ acc4 += x7 * c0;
+ acc5 += x0 * c0;
+ acc6 += x1 * c0;
+ acc7 += x2 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x3 = *(px++);
+ /* Perform the multiply-accumulates */
+ acc0 += x4 * c0;
+ acc1 += x5 * c0;
+ acc2 += x6 * c0;
+ acc3 += x7 * c0;
+ acc4 += x0 * c0;
+ acc5 += x1 * c0;
+ acc6 += x2 * c0;
+ acc7 += x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x4 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x5 * c0;
+ acc1 += x6 * c0;
+ acc2 += x7 * c0;
+ acc3 += x0 * c0;
+ acc4 += x1 * c0;
+ acc5 += x2 * c0;
+ acc6 += x3 * c0;
+ acc7 += x4 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x5 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x6 * c0;
+ acc1 += x7 * c0;
+ acc2 += x0 * c0;
+ acc3 += x1 * c0;
+ acc4 += x2 * c0;
+ acc5 += x3 * c0;
+ acc6 += x4 * c0;
+ acc7 += x5 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x6 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x7 * c0;
+ acc1 += x0 * c0;
+ acc2 += x1 * c0;
+ acc3 += x2 * c0;
+ acc4 += x3 * c0;
+ acc5 += x4 * c0;
+ acc6 += x5 * c0;
+ acc7 += x6 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = numTaps % 0x8U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x7 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+ acc4 += x4 * c0;
+ acc5 += x5 * c0;
+ acc6 += x6 * c0;
+ acc7 += x7 * c0;
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+ x3 = x4;
+ x4 = x5;
+ x5 = x6;
+ x6 = x7;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by 8 to process the next group of 8 samples */
+ pState = pState + 8;
+
+ /* The results in the 8 accumulators, store in the destination buffer. */
+ *pDst++ = acc0;
+ *pDst++ = acc1;
+ *pDst++ = acc2;
+ *pDst++ = acc3;
+ *pDst++ = acc4;
+ *pDst++ = acc5;
+ *pDst++ = acc6;
+ *pDst++ = acc7;
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x8U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += *px++ * *pb++;
+
+ i--;
+ }
+
+ /* Store result in destination buffer. */
+ *pDst++ = acc0;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+* @} end of FIR group
+*/
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
new file mode 100644
index 0000000..5f8df95
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
@@ -0,0 +1,332 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_fast_q15.c
+ * Description: Q15 Fast FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR filter (fast version).
+ @param[in] S points to an instance of the Q15 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around and distorts the result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+ The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.
+
+ @remark
+ Refer to \ref arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_init_q15() to initialize the filter structure.
+ */
+
+void arm_fir_fast_q15(
+ const arm_fir_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+ px = pState;
+
+ /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+ pb = pCoeffs;
+
+ /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+ x2 = read_q15x2_ia (&px);
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc0 = __SMLAD(x0, c0, acc0);
+
+ /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+ acc2 = __SMLAD(x2, c0, acc2);
+
+ /* pack x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read state x[n-N-4], x[n-N-5] */
+ x0 = read_q15x2_ia (&px);
+
+ /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* pack x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+ acc3 = __SMLADX(x1, c0, acc3);
+
+ /* Read coefficients b[N-2], b[N-3] */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+ acc0 = __SMLAD(x2, c0, acc0);
+
+ /* Read state x[n-N-6], x[n-N-7] with offset */
+ x2 = read_q15x2_ia (&px);
+
+ /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+ acc2 = __SMLAD(x0, c0, acc2);
+
+ /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* pack x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+ acc3 = __SMLADX(x1, c0, acc3);
+
+ /* Decrement tap count */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps.
+ This is always be 2 taps since the filter length is even. */
+ if ((numTaps & 0x3U) != 0U)
+ {
+ /* Read last two coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc2 = __SMLAD(x2, c0, acc2);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read last state variables */
+ x0 = read_q15x2 (px);
+
+ /* Perform the multiply-accumulates */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* Perform the multiply-accumulates */
+ acc3 = __SMLADX(x1, c0, acc3);
+ }
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation.
+ Then store the 4 outputs in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy two samples into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Use SIMD to hold states and coefficients */
+ px = pState;
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 1U;
+
+ do
+ {
+ acc0 += (q31_t) *px++ * *pb++;
+ acc0 += (q31_t) *px++ * *pb++;
+
+ tapCnt--;
+ }
+ while (tapCnt > 0U);
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
new file mode 100644
index 0000000..513cb72
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
@@ -0,0 +1,324 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_fast_q31.c
+ * Description: Processing function for the Q31 Fast FIR filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR filter (fast version).
+ @param[in] S points to an instance of the Q31 structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are added to a 2.30 accumulator.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+
+ @remark
+ Refer to \ref arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_init_q31() to initialize the filter structure.
+ */
+
+IAR_ONLY_LOW_OPTIMIZATION_ENTER
+void arm_fir_fast_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first 3 samples from the state buffer:
+ * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-4 coefficients. */
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-3] sample */
+ x3 = *px;
+
+ /* acc0 += b[numTaps] * x[n-numTaps] */
+ multAcc_32x32_keep32_R(acc0, x0, c0);
+
+ /* acc1 += b[numTaps] * x[n-numTaps-1] */
+ multAcc_32x32_keep32_R(acc1, x1, c0);
+
+ /* acc2 += b[numTaps] * x[n-numTaps-2] */
+ multAcc_32x32_keep32_R(acc2, x2, c0);
+
+ /* acc3 += b[numTaps] * x[n-numTaps-3] */
+ multAcc_32x32_keep32_R(acc3, x3, c0);
+
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb + 1U);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x1, c0);
+ multAcc_32x32_keep32_R(acc1, x2, c0);
+ multAcc_32x32_keep32_R(acc2, x3, c0);
+ multAcc_32x32_keep32_R(acc3, x0, c0);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb + 2U);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x2, c0);
+ multAcc_32x32_keep32_R(acc1, x3, c0);
+ multAcc_32x32_keep32_R(acc2, x0, c0);
+ multAcc_32x32_keep32_R(acc3, x1, c0);
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *(pb + 3U);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px + 3U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x3, c0);
+ multAcc_32x32_keep32_R(acc1, x0, c0);
+ multAcc_32x32_keep32_R(acc2, x1, c0);
+ multAcc_32x32_keep32_R(acc3, x2, c0);
+
+ /* update coefficient pointer */
+ pb += 4U;
+ px += 4U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x0, c0);
+ multAcc_32x32_keep32_R(acc1, x1, c0);
+ multAcc_32x32_keep32_R(acc2, x2, c0);
+ multAcc_32x32_keep32_R(acc3, x3, c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31
+ Then store the 4 outputs in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+ *pDst++ = (q31_t) (acc1 << 1);
+ *pDst++ = (q31_t) (acc2 << 1);
+ *pDst++ = (q31_t) (acc3 << 1);
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ multAcc_32x32_keep32_R(acc0, (*px++), (*pb++));
+ i--;
+ } while (i > 0U);
+
+ /* The result is in 2.30 format. Convert to 1.31
+ Then store the output in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+IAR_ONLY_LOW_OPTIMIZATION_EXIT
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
new file mode 100644
index 0000000..2405c3f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
@@ -0,0 +1,89 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_f32.c
+ * Description: Floating-point FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR filter.
+ @param[in,out] S points to an instance of the floating-point FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed per call
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_f32().
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 16 even if less
+ then 16 coefficients are used. The additional coefficients must be set to 0.
+ It does not mean that all the coefficients will be used in the filter (numTaps
+ is still set to its right value in the init function.) It just means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+ */
+
+void arm_fir_init_f32(
+ arm_fir_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
new file mode 100644
index 0000000..a5b2d06
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
@@ -0,0 +1,137 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_q15.c
+ * Description: Q15 FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR filter.
+ @param[in,out] S points to an instance of the Q15 FIR filter structure.
+ @param[in] numTaps number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+ @param[in] pCoeffs points to the filter coefficients buffer.
+ @param[in] pState points to the state buffer.
+ @param[in] blockSize number of samples processed per call.
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : numTaps is not greater than or equal to 4 and even
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ Note that numTaps must be even and greater than or equal to 4.
+ To implement an odd length filter simply increase numTaps by 1 and set the last coefficient to zero.
+ For example, to implement a filter with numTaps=3 and coefficients
+
+ {0.3, -0.8, 0.3}
+
+ set numTaps=4 and use the coefficients:
+
+ {0.3, -0.8, 0.3, 0}.
+
+ Similarly, to implement a two point filter
+
+ {0.3, -0.3}
+
+ set numTaps=4 and use the coefficients:
+
+ {0.3, -0.3, 0, 0}.
+
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize, when running on Cortex-M4 and Cortex-M3 and is of length numTaps+blockSize-1, when running on Cortex-M0 where blockSize is the number of input samples processed by each call to arm_fir_q15().
+ */
+
+arm_status arm_fir_init_q15(
+ arm_fir_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+#if defined (ARM_MATH_DSP)
+
+ /* The Number of filter coefficients in the filter must be even and at least 4 */
+ if (numTaps & 0x1U)
+ {
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps ) */
+ memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+#else
+
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+
+ return (status);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
new file mode 100644
index 0000000..7d8376f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
@@ -0,0 +1,80 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_q31.c
+ * Description: Q31 FIR filter initialization function.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR filter.
+ @param[in,out] S points to an instance of the Q31 FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q31().
+ */
+
+void arm_fir_init_q31(
+ arm_fir_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
new file mode 100644
index 0000000..f96d250
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_q7.c
+ * Description: Q7 FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q7 FIR filter.
+ @param[in,out] S points to an instance of the Q7 FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q7().
+ */
+
+void arm_fir_init_q7(
+ arm_fir_instance_q7 * S,
+ uint16_t numTaps,
+ const q7_t * pCoeffs,
+ q7_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q7_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
new file mode 100644
index 0000000..f8582ef
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
@@ -0,0 +1,1252 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_f32.c
+ * Description: Floating-point FIR interpolation sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator
+
+ These functions combine an upsampler (zero stuffer) and an FIR filter.
+ They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images.
+ Conceptually, the functions are equivalent to the block diagram below:
+ \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions"
+ After upsampling by a factor of L, the signal should be filtered by a lowpass filter with a normalized
+ cutoff frequency of 1/L in order to eliminate high frequency copies of the spectrum.
+ The user of the function is responsible for providing the filter coefficients.
+
+ The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner.
+ The upsampler inserts L-1 zeros between each sample.
+ Instead of multiplying by these zero values, the FIR filter is designed to skip them.
+ This leads to an efficient implementation without any wasted effort.
+ The functions operate on blocks of input and output data.
+ pSrc points to an array of blockSize input values and
+ pDst points to an array of blockSize*L output values.
+
+ The library provides separate functions for Q15, Q31, and floating-point data types.
+
+ @par Algorithm
+ The functions use a polyphase filter structure:
+ + y[n] = b[0] * x[n] + b[L] * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1] + y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1] + ... + y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1] ++ This approach is more efficient than straightforward upsample-then-filter algorithms. + With this method the computation is reduced by a factor of
1/L when compared to using a standard FIR filter.
+ @par
+ pCoeffs points to a coefficient array of size numTaps.
+ numTaps must be a multiple of the interpolation factor L and this is checked by the
+ initialization functions.
+ Internally, the function divides the FIR filter's impulse response into shorter filters of length
+ phaseLength=numTaps/L.
+ Coefficients are stored in time reversed order.
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size blockSize + phaseLength - 1.
+ Samples in the state buffer are stored in the order:
+
+ {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable array should be allocated separately.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ - Checks to make sure that the length of the filter is a multiple of the interpolation factor.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};
+ arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};
+ arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};
+
+ @par
+ where L is the interpolation factor; phaseLength=numTaps/L is the
+ length of each of the shorter FIR filters used internally,
+ pCoeffs is the address of the coefficient buffer;
+ pState is the address of the state buffer.
+ Be sure to set the values in the state buffer to zeros when doing static initialization.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR interpolate filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR interpolator.
+ @param[in] S points to an instance of the floating-point FIR interpolator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+static void arm_fir_interpolate2_f32_mve(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ const float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+ uint32_t tapCnt;
+ uint32_t blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t strides[4] = { 0, 1 * 2, 2 * 2, 3 * 2 };
+ uint32x4_t vec_strides0 = *(uint32x4_t *) strides;
+ uint32x4_t vec_strides1 = vec_strides0 + 1;
+ f32x4_t acc0, acc1;
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (phaseLen - 1U);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs;
+
+ tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_f32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides1);
+ acc1 = vfmaq_f32(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides0);
+ acc0 = vfmaq_f32(acc0, vecState, vecCoef);
+
+ ptr2 += 4 * 2;
+ ptr1 += 4;
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_z_f32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides1, p0);
+ acc1 = vfmaq_f32(acc1, vecState, vecCoef);
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides0, p0);
+ acc0 = vfmaq_f32(acc0, vecState, vecCoef);
+
+ }
+ *pDst++ = vecAddAcrossF32Mve(acc1);
+ *pDst++ = vecAddAcrossF32Mve(acc0);
+
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ * ** This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_f32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0);
+ }
+}
+
+void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ const float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+ uint32_t tapCnt;
+ uint32_t i, blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t strides[4] = { 0, 1 * S->L, 2 * S->L, 3 * S->L };
+ uint32_t stridesM[4] = { 4, 3, 2, 1 };
+ uint32x4_t vec_stridesM = *(uint32x4_t *) stridesM;
+ uint32x4_t vec_strides = *(uint32x4_t *) strides;
+ f32x4_t acc;
+
+
+ if ( S->L == 2 ) {
+ arm_fir_interpolate2_f32_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ */
+ /*
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (phaseLen - 1U);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Loop over the Interpolation factor.
+ */
+ i = S->L;
+ while (i > 0U)
+ {
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+ if (i >= 4)
+ {
+ float32_t state0, state1, state2, state3;
+ acc = vdupq_n_f32(0.0f);
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U) - 4;
+ tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ f32x4_t vecCoef;
+ const float32_t *pCoef = ptr2;
+
+ state0 = ptr1[0];
+ state1 = ptr1[1];
+ state2 = ptr1[2];
+ state3 = ptr1[3];
+ ptr1 += 4;
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state0);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state1);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state2);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state3);
+
+ ptr2 = ptr2 + 4 * S->L;
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ f32x4_t vecCoef;
+ const float32_t *pCoef = ptr2;
+
+ state0 = ptr1[0];
+ state1 = ptr1[1];
+ state2 = ptr1[2];
+ state3 = ptr1[3];
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state1);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state2);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state3);
+ }
+
+ vst1q(pDst, acc);
+ pDst += 4;
+ i -= 4;
+ }
+ else
+ {
+ acc = vdupq_n_f32(0.0f);
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U);
+
+ tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_f32(ptr1);
+ ptr1 += 4;
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides);
+ ptr2 += 4 * S->L;
+ acc = vfmaq_f32(acc, vecState, vecCoef);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_z_f32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides, p0);
+ acc = vfmaq_f32(acc, vecState, vecCoef);
+ }
+ *pDst++ = vecAddAcrossF32Mve(acc);
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ }
+
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ * ** This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_f32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0);
+ }
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *ptr1; /* Temporary pointers for state buffer */
+ const float32_t *ptr2; /* Temporary pointers for coefficient buffer */
+ float32_t sum0; /* Accumulators */
+ float32_t c0; /* Temporary variables to hold state and coefficient values */
+ uint32_t i, blkCnt, j; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */
+ uint32_t blkCntN4;
+ float32_t c1, c2, c3;
+
+ float32x4_t sum0v;
+ float32x4_t accV0,accV1;
+ float32x4_t x0v,x1v,x2v,xa,xb;
+ float32x2_t tempV;
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = S->pState + (phaseLen - 1U);
+
+ /* Initialise blkCnt */
+ blkCnt = blockSize >> 3;
+ blkCntN4 = blockSize & 7;
+
+ /* Loop unrolling */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input samples into the state buffer */
+ sum0v = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,sum0v);
+ pSrc += 4;
+ pStateCurnt += 4;
+
+ sum0v = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,sum0v);
+ pSrc += 4;
+ pStateCurnt += 4;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ accV0 = vdupq_n_f32(0.0);
+ accV1 = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0v = vld1q_f32(ptr1);
+ x1v = vld1q_f32(ptr1 + 4);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input samples */
+ x2v = vld1q_f32(ptr1 + 8);
+
+ /* Read the coefficients */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+
+ /* Read the coefficients, inputs and perform multiply-accumulate */
+ c1 = *(ptr2 + S->L);
+
+ xa = vextq_f32(x0v,x1v,1);
+ xb = vextq_f32(x1v,x2v,1);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c1);
+ accV1 = vmlaq_n_f32(accV1,xb,c1);
+
+ /* Read the coefficients, inputs and perform multiply-accumulate */
+ c2 = *(ptr2 + S->L * 2);
+
+ xa = vextq_f32(x0v,x1v,2);
+ xb = vextq_f32(x1v,x2v,2);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c2);
+ accV1 = vmlaq_n_f32(accV1,xb,c2);
+
+ /* Read the coefficients, inputs and perform multiply-accumulate */
+ c3 = *(ptr2 + S->L * 3);
+
+ xa = vextq_f32(x0v,x1v,3);
+ xb = vextq_f32(x1v,x2v,3);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c3);
+ accV1 = vmlaq_n_f32(accV1,xb,c3);
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+ ptr1 += 4;
+ x0v = x1v;
+ x1v = x2v;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ x2v = vld1q_f32(ptr1 + 8);
+
+ switch (tapCnt)
+ {
+ case 3:
+ c0 = *(ptr2);
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+ ptr2 += S->L;
+
+ c0 = *(ptr2);
+
+ xa = vextq_f32(x0v,x1v,1);
+ xb = vextq_f32(x1v,x2v,1);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c0);
+ accV1 = vmlaq_n_f32(accV1,xb,c0);
+ ptr2 += S->L;
+
+ c0 = *(ptr2);
+
+ xa = vextq_f32(x0v,x1v,2);
+ xb = vextq_f32(x1v,x2v,2);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c0);
+ accV1 = vmlaq_n_f32(accV1,xb,c0);
+ ptr2 += S->L;
+
+ break;
+
+ case 2:
+ c0 = *(ptr2);
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+ ptr2 += S->L;
+
+ c0 = *(ptr2);
+
+ xa = vextq_f32(x0v,x1v,1);
+ xb = vextq_f32(x1v,x2v,1);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c0);
+ accV1 = vmlaq_n_f32(accV1,xb,c0);
+ ptr2 += S->L;
+
+ break;
+
+ case 1:
+ c0 = *(ptr2);
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+ ptr2 += S->L;
+
+ break;
+
+ default:
+ break;
+
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst = vgetq_lane_f32(accV0, 0);
+ *(pDst + S->L) = vgetq_lane_f32(accV0, 1);
+ *(pDst + 2 * S->L) = vgetq_lane_f32(accV0, 2);
+ *(pDst + 3 * S->L) = vgetq_lane_f32(accV0, 3);
+
+ *(pDst + 4 * S->L) = vgetq_lane_f32(accV1, 0);
+ *(pDst + 5 * S->L) = vgetq_lane_f32(accV1, 1);
+ *(pDst + 6 * S->L) = vgetq_lane_f32(accV1, 2);
+ *(pDst + 7 * S->L) = vgetq_lane_f32(accV1, 3);
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 8;
+
+ pDst += S->L * 7;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+
+ while (blkCntN4 > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0v = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,0);
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Read the input sample */
+ x0v = vld1q_f32(ptr1);
+ ptr1 += 4;
+
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,1);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,3);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0v = vmlaq_f32(sum0v,x0v,x1v);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tempV = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v));
+ sum0 = vget_lane_f32(tempV, 0) + vget_lane_f32(tempV, 1);
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *(ptr1++) * (*ptr2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCntN4--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ sum0v = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,sum0v);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#else
+
+void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ float32_t *ptr1; /* Temporary pointer for state buffer */
+ const float32_t *ptr2; /* Temporary pointer for coefficient buffer */
+ float32_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc0, acc1, acc2, acc3;
+ float32_t x0, x1, x2, x3;
+ float32_t c0, c1, c2, c3;
+#endif
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0 = *(ptr1++);
+ x1 = *(ptr1++);
+ x2 = *(ptr1++);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the coefficient */
+ c1 = *(ptr2 + S->L);
+
+ /* Read the input sample */
+ x0 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x1 * c1;
+ acc1 += x2 * c1;
+ acc2 += x3 * c1;
+ acc3 += x0 * c1;
+
+ /* Read the coefficient */
+ c2 = *(ptr2 + S->L * 2);
+
+ /* Read the input sample */
+ x1 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x2 * c2;
+ acc1 += x3 * c2;
+ acc2 += x0 * c2;
+ acc3 += x1 * c2;
+
+ /* Read the coefficient */
+ c3 = *(ptr2 + S->L * 3);
+
+ /* Read the input sample */
+ x2 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x3 * c3;
+ acc1 += x0 * c3;
+ acc2 += x1 * c3;
+ acc3 += x2 * c3;
+
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* update states for next sample processing */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *(pDst ) = acc0;
+ *(pDst + S->L) = acc1;
+ *(pDst + 2 * S->L) = acc2;
+ *(pDst + 3 * S->L) = acc3;
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 4;
+
+ pDst += S->L * 3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0.0f;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0 += *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = phaseLen % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ float32_t *ptr1; /* Temporary pointer for state buffer */
+ const float32_t *ptr2; /* Temporary pointer for coefficient buffer */
+ float32_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+ /* Total number of intput samples */
+ blkCnt = blockSize;
+
+ /* Loop over the blockSize. */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0.0f;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (i - 1U);
+
+ /* Loop over the polyPhase length */
+ tapCnt = phaseLen;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *ptr1++ * *ptr2;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ tapCnt = phaseLen - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
new file mode 100644
index 0000000..287d347
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_init_f32.c
+ * Description: Floating-point FIR interpolator initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR interpolator.
+ @param[in,out] S points to an instance of the floating-point FIR interpolator structure
+ @param[in] L upsample factor
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficient buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ @par
+ The length of the filter numTaps must be a multiple of the interpolation factor L.
+ @par
+ pState points to the array of state variables.
+ pState is of length (numTaps/L)+blockSize-1 words
+ where blockSize is the number of input samples processed by each call to arm_fir_interpolate_f32().
+ */
+
+arm_status arm_fir_interpolate_init_f32(
+ arm_fir_interpolate_instance_f32 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The filter length must be a multiple of the interpolation factor */
+ if ((numTaps % L) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign Interpolation factor */
+ S->L = L;
+
+ /* Assign polyPhaseLength */
+ S->phaseLength = numTaps / L;
+
+ /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+ memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
new file mode 100644
index 0000000..7f43bbf
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_init_q15.c
+ * Description: Q15 FIR interpolator initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR interpolator.
+ @param[in,out] S points to an instance of the Q15 FIR interpolator structure
+ @param[in] L upsample factor
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficient buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L
+
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ The length of the filter numTaps must be a multiple of the interpolation factor L.
+ @par
+ pState points to the array of state variables.
+ pState is of length (numTaps/L)+blockSize-1 words
+ where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q15().
+ */
+
+arm_status arm_fir_interpolate_init_q15(
+ arm_fir_interpolate_instance_q15 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The filter length must be a multiple of the interpolation factor */
+ if ((numTaps % L) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign Interpolation factor */
+ S->L = L;
+
+ /* Assign polyPhaseLength */
+ S->phaseLength = numTaps / L;
+
+ /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+ memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
new file mode 100644
index 0000000..973e715
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_init_q31.c
+ * Description: Q31 FIR interpolator initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR interpolator.
+ @param[in,out] S points to an instance of the Q31 FIR interpolator structure
+ @param[in] L upsample factor
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficient buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ The length of the filter numTaps must be a multiple of the interpolation factor L.
+ @par
+ pState points to the array of state variables.
+ pState is of length (numTaps/L)+blockSize-1 words
+ where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q31().
+ */
+
+arm_status arm_fir_interpolate_init_q31(
+ arm_fir_interpolate_instance_q31 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The filter length must be a multiple of the interpolation factor */
+ if ((numTaps % L) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign Interpolation factor */
+ S->L = L;
+
+ /* Assign polyPhaseLength */
+ S->phaseLength = numTaps / L;
+
+ /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+ memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
new file mode 100644
index 0000000..a889793
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
@@ -0,0 +1,774 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_q15.c
+ * Description: Q15 FIR interpolation
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR interpolator.
+ @param[in] S points to an instance of the Q15 FIR interpolator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ const q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+
+ uint32_t i, blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint16_t strides[8] = {
+ 0, 1 * S->L, 2 * S->L, 3 * S->L,
+ 4 * S->L, 5 * S->L, 6 * S->L, 7 * S->L
+ };
+ uint16x8_t vec_strides0 = *(uint16x8_t *) strides;
+ uint16x8_t vec_strides1 = vec_strides0 + 1;
+ uint16x8_t vec_strides2 = vec_strides0 + 2;
+ uint16x8_t vec_strides3 = vec_strides0 + 3;
+ q15x8_t vecState, vecCoef;
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + ((q15_t) phaseLen - 1);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Loop over the Interpolation factor.
+ */
+ i = S->L;
+ while (i > 0U)
+ {
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+ if (i >= 4)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1 - 3U);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+ q63_t acc3 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides3);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides2);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+ acc3 = vmlaldavaq(acc3, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides3, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides2, p0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc3 = vmlaldavaq(acc3, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ *pDst++ = (q15_t) __SSAT(acc0, 16);
+ *pDst++ = (q15_t) __SSAT(acc1, 16);
+ *pDst++ = (q15_t) __SSAT(acc2, 16);
+ *pDst++ = (q15_t) __SSAT(acc3, 16);
+ i -= 4;
+ }
+ else if (i >= 3)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 2);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides2);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides2, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ *pDst++ = (q15_t) __SSAT(acc0, 16);;
+ *pDst++ = (q15_t) __SSAT(acc1, 16);;
+ *pDst++ = (q15_t) __SSAT(acc2, 16);;
+ i -= 3;
+ }
+ else if (i >= 2)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 1);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+
+ *pDst++ = (q15_t) __SSAT(acc0, 16);
+ *pDst++ = (q15_t) __SSAT(acc1, 16);
+ i -= 2;
+ }
+ else
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U);
+
+ q63_t acc0 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ *pDst++ = (q15_t) __SSAT(acc0, 16);
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ }
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 3;
+ while (blkCnt > 0U)
+ {
+ vstrhq_s16(pStateCurnt, vldrhq_s16(pState));
+ pState += 8;
+ pStateCurnt += 8;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pStateCurnt, vldrhq_s16(pState), p0);
+ }
+}
+#else
+void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *ptr1; /* Temporary pointer for state buffer */
+ const q15_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2, acc3;
+ q15_t x0, x1, x2, x3;
+ q15_t c0, c1, c2, c3;
+#endif
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0 = *(ptr1++);
+ x1 = *(ptr1++);
+ x2 = *(ptr1++);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the coefficient */
+ c1 = *(ptr2 + S->L);
+
+ /* Read the input sample */
+ x0 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x1 * c1;
+ acc1 += (q63_t) x2 * c1;
+ acc2 += (q63_t) x3 * c1;
+ acc3 += (q63_t) x0 * c1;
+
+ /* Read the coefficient */
+ c2 = *(ptr2 + S->L * 2);
+
+ /* Read the input sample */
+ x1 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x2 * c2;
+ acc1 += (q63_t) x3 * c2;
+ acc2 += (q63_t) x0 * c2;
+ acc3 += (q63_t) x1 * c2;
+
+ /* Read the coefficient */
+ c3 = *(ptr2 + S->L * 3);
+
+ /* Read the input sample */
+ x2 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x3 * c3;
+ acc1 += (q63_t) x0 * c3;
+ acc2 += (q63_t) x1 * c3;
+ acc3 += (q63_t) x2 * c3;
+
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* update states for next sample processing */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *(pDst ) = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16));
+ *(pDst + 2 * S->L) = (q15_t) (__SSAT((acc2 >> 15), 16));
+ *(pDst + 3 * S->L) = (q15_t) (__SSAT((acc3 >> 15), 16));
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 4;
+
+ pDst += S->L * 3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = phaseLen % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *ptr1; /* Temporary pointer for state buffer */
+ const q15_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+ /* Total number of intput samples */
+ blkCnt = blockSize;
+
+ /* Loop over the blockSize. */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (i - 1U);
+
+ /* Loop over the polyPhase length */
+ tapCnt = phaseLen;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += ((q63_t) *ptr1++ * *ptr2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Store the result after converting to 1.15 format in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ tapCnt = phaseLen - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI)*/
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
new file mode 100644
index 0000000..826b156
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
@@ -0,0 +1,773 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_q31.c
+ * Description: Q31 FIR interpolation
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR interpolator.
+ @param[in] S points to an instance of the Q31 FIR interpolator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 1/(numTaps/L).
+ since numTaps/L additions occur per output sample.
+ After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ const q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+
+ uint32_t i, blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t strides[4] = { 0, 1 * S->L, 2 * S->L, 3 * S->L };
+ uint32x4_t vec_strides0 = *(uint32x4_t *) strides;
+ uint32x4_t vec_strides1 = vec_strides0 + 1;
+ uint32x4_t vec_strides2 = vec_strides0 + 2;
+ uint32x4_t vec_strides3 = vec_strides0 + 3;
+ q31x4_t vecState, vecCoef;
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Loop over the Interpolation factor.
+ */
+ i = S->L;
+ while (i > 0U)
+ {
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+ if (i >= 4)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1 - 3U);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+ q63_t acc3 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides3);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides2);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+ acc3 = vrmlaldavhaq(acc3, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides3, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides2, p0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc3 = vrmlaldavhaq(acc3, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ acc1 = asrl(acc1, 31 - 8);
+ acc2 = asrl(acc2, 31 - 8);
+ acc3 = asrl(acc3, 31 - 8);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ *pDst++ = (q31_t) acc2;
+ *pDst++ = (q31_t) acc3;
+ i -= 4;
+ }
+ else if (i >= 3)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 2);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides2);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides2, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ acc1 = asrl(acc1, 31 - 8);
+ acc2 = asrl(acc2, 31 - 8);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ *pDst++ = (q31_t) acc2;
+ i -= 3;
+ }
+ else if (i >= 2)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 1);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ acc1 = asrl(acc1, 31 - 8);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ i -= 2;
+ }
+ else
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U);
+
+ q63_t acc0 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ *pDst++ = (q31_t) acc0;
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ }
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ * ** This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_s32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pStateCurnt, vldrwq_s32(pState), p0);
+ }
+}
+#else
+void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *ptr1; /* Temporary pointer for state buffer */
+ const q31_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2, acc3;
+ q31_t x0, x1, x2, x3;
+ q31_t c0, c1, c2, c3;
+#endif
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0 = *(ptr1++);
+ x1 = *(ptr1++);
+ x2 = *(ptr1++);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the coefficient */
+ c1 = *(ptr2 + S->L);
+
+ /* Read the input sample */
+ x0 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x1 * c1;
+ acc1 += (q63_t) x2 * c1;
+ acc2 += (q63_t) x3 * c1;
+ acc3 += (q63_t) x0 * c1;
+
+ /* Read the coefficient */
+ c2 = *(ptr2 + S->L * 2);
+
+ /* Read the input sample */
+ x1 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x2 * c2;
+ acc1 += (q63_t) x3 * c2;
+ acc2 += (q63_t) x0 * c2;
+ acc3 += (q63_t) x1 * c2;
+
+ /* Read the coefficient */
+ c3 = *(ptr2 + S->L * 3);
+
+ /* Read the input sample */
+ x2 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x3 * c3;
+ acc1 += (q63_t) x0 * c3;
+ acc2 += (q63_t) x1 * c3;
+ acc3 += (q63_t) x2 * c3;
+
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* update states for next sample processing */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *(pDst ) = (q31_t) (acc0 >> 31);
+ *(pDst + S->L) = (q31_t) (acc1 >> 31);
+ *(pDst + 2 * S->L) = (q31_t) (acc2 >> 31);
+ *(pDst + 3 * S->L) = (q31_t) (acc3 >> 31);
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 4;
+
+ pDst += S->L * 3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = phaseLen % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (sum0 >> 31);
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *ptr1; /* Temporary pointer for state buffer */
+ const q31_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+ /* Total number of intput samples */
+ blkCnt = blockSize;
+
+ /* Loop over the blockSize. */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (i - 1U);
+
+ /* Loop over the polyPhase length */
+ tapCnt = phaseLen;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += ((q63_t) *ptr1++ * *ptr2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (sum0 >> 31);
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ tapCnt = phaseLen - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
new file mode 100644
index 0000000..a3d95c1
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
@@ -0,0 +1,453 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_f32.c
+ * Description: Processing function for floating-point FIR Lattice filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters
+
+ This set of functions implements Finite Impulse Response (FIR) lattice filters
+ for Q15, Q31 and floating-point data types. Lattice filters are used in a
+ variety of adaptive filter applications. The filter structure is feedforward and
+ the net impulse response is finite length.
+ The functions operate on blocks
+ of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst point to input and output arrays containing blockSize values.
+
+ @par Algorithm
+ \image html FIRLattice.gif "Finite Impulse Response Lattice filter"
+ The following difference equation is implemented:
+ @par
+ + f0[n] = g0[n] = x[n] + fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M + gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M + y[n] = fM[n] ++ @par +
pCoeffs points to tha array of reflection coefficients of size numStages.
+ Reflection Coefficients are stored in the following order.
+ @par
+
+ {k1, k2, ..., kM}
+
+ where M is number of stages
+ @par
+ pState points to a state array of size numStages.
+ The state variables (g values) hold previous inputs and are stored in the following order.
+
+ {g0[n], g1[n], g2[n] ...gM-1[n]}
+
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:
+
+ arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};
+ arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};
+ arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};
+
+ @par
+ where numStages is the number of stages in the filter;
+ pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR Lattice filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point FIR lattice filter.
+ @param[in] S points to an instance of the floating-point FIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_fir_lattice_f32(
+ const arm_fir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *px; /* Temporary state pointer */
+ const float32_t *pk; /* Temporary coefficient pointer */
+ uint32_t numStages = S->numStages; /* Number of stages in the filter */
+ uint32_t blkCnt, stageCnt; /* Loop counters */
+ float32_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */
+ float32_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */
+ float32_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+ gcurr0 = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read two samples from input buffer */
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+ fcurr1 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* Read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* Process first sample for first tap */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (fcurr0 * (*pk)) + gcurr0;
+
+ /* Process second sample for first tap */
+ fnext1 = (fcurr0 * (*pk)) + fcurr1;
+ gnext1 = (fcurr1 * (*pk)) + fcurr0;
+
+ /* Read next two samples from input buffer */
+ /* f0(n+2) = x(n+2) */
+ fcurr2 = *pSrc++;
+ fcurr3 = *pSrc++;
+
+ /* Process third sample for first tap */
+ fnext2 = (fcurr1 * (*pk)) + fcurr2;
+ gnext2 = (fcurr2 * (*pk)) + fcurr1;
+
+ /* Process fourth sample for first tap */
+ fnext3 = (fcurr2 * (*pk )) + fcurr3;
+ gnext3 = (fcurr3 * (*pk++)) + fcurr2;
+
+ /* Copy only last input sample into the state buffer
+ which will be used for next samples processing */
+ *px++ = fcurr3;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ /* Loop unrolling. Process 4 taps at a time . */
+ stageCnt = (numStages - 1U) >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numStages-3 coefficients. */
+
+ /* Process 2nd, 3rd, 4th and 5th taps ... here */
+ while (stageCnt > 0U)
+ {
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Process first sample for 2nd, 6th .. tap */
+ /* Sample processing for K2, K6.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* Process second sample for 2nd, 6th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+ /* Process third sample for 2nd, 6th .. tap */
+ fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+ /* Process fourth sample for 2nd, 6th .. tap */
+ fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+ gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+ gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g2(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K3, K7.... */
+ /* Process first sample for 3rd, 7th .. tap */
+ /* f3(n) = f2(n) + K3 * g2(n-1) */
+ fcurr0 = (gcurr0 * (*pk)) + fnext0;
+
+ /* Process second sample for 3rd, 7th .. tap */
+ fcurr1 = (gnext0 * (*pk)) + fnext1;
+
+ /* Process third sample for 3rd, 7th .. tap */
+ fcurr2 = (gnext1 * (*pk)) + fnext2;
+
+ /* Process fourth sample for 3rd, 7th .. tap */
+ fcurr3 = (gnext2 * (*pk)) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g3(n) = f2(n) * K3 + g2(n-1) */
+ gnext3 = (fnext3 * (*pk)) + gnext2;
+
+ gnext2 = (fnext2 * (*pk)) + gnext1;
+
+ gnext1 = (fnext1 * (*pk)) + gnext0;
+
+ gnext0 = (fnext0 * (*pk++)) + gcurr0;
+
+
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g3(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K4, K8.... */
+ /* Process first sample for 4th, 8th .. tap */
+ /* f4(n) = f3(n) + K4 * g3(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* Process second sample for 4th, 8th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+ /* Process third sample for 4th, 8th .. tap */
+ fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+ /* Process fourth sample for 4th, 8th .. tap */
+ fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+ /* g4(n) = f3(n) * K4 + g3(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+ gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+ gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g4(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K5, K9.... */
+ /* Process first sample for 5th, 9th .. tap */
+ /* f5(n) = f4(n) + K5 * g4(n-1) */
+ fcurr0 = (gcurr0 * (*pk)) + fnext0;
+
+ /* Process second sample for 5th, 9th .. tap */
+ fcurr1 = (gnext0 * (*pk)) + fnext1;
+
+ /* Process third sample for 5th, 9th .. tap */
+ fcurr2 = (gnext1 * (*pk)) + fnext2;
+
+ /* Process fourth sample for 5th, 9th .. tap */
+ fcurr3 = (gnext2 * (*pk)) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g5(n) = f4(n) * K5 + g4(n-1) */
+ gnext3 = (fnext3 * (*pk)) + gnext2;
+
+ gnext2 = (fnext2 * (*pk)) + gnext1;
+
+ gnext1 = (fnext1 * (*pk)) + gnext0;
+
+ gnext0 = (fnext0 * (*pk++)) + gcurr0;
+
+ stageCnt--;
+ }
+
+ /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+ stageCnt = (numStages - 1U) % 0x4U;
+
+ while (stageCnt > 0U)
+ {
+ gcurr0 = *px;
+
+ /* save g value in state buffer */
+ *px++ = gnext3;
+
+ /* Process four samples for last three taps here */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+ fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+ fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+ gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+ gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ stageCnt--;
+ }
+
+ /* The results in the 4 accumulators, store in the destination buffer. */
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+ *pDst++ = fcurr1;
+ *pDst++ = fcurr2;
+ *pDst++ = fcurr3;
+
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+ /* save g1(n) in state buffer */
+ *px++ = fcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
new file mode 100644
index 0000000..7929629
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_init_f32.c
+ * Description: Floating-point FIR Lattice filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR lattice filter.
+ @param[in] S points to an instance of the floating-point FIR lattice structure
+ @param[in] numStages number of filter stages
+ @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages
+ @param[in] pState points to the state buffer. The array is of length numStages
+ @return none
+ */
+
+void arm_fir_lattice_init_f32(
+ arm_fir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always numStages */
+ memset(pState, 0, (numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
new file mode 100644
index 0000000..5c80dff
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_init_q15.c
+ * Description: Q15 FIR Lattice filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR lattice filter.
+ @param[in] S points to an instance of the Q15 FIR lattice structure
+ @param[in] numStages number of filter stages
+ @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages
+ @param[in] pState points to the state buffer. The array is of length numStages
+ @return none
+ */
+
+void arm_fir_lattice_init_q15(
+ arm_fir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always numStages */
+ memset(pState, 0, (numStages) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
new file mode 100644
index 0000000..476296d
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_init_q31.c
+ * Description: Q31 FIR lattice filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR lattice filter.
+ @param[in] S points to an instance of the Q31 FIR lattice structure
+ @param[in] numStages number of filter stages
+ @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages
+ @param[in] pState points to the state buffer. The array is of length numStages
+ @return none
+ */
+
+void arm_fir_lattice_init_q31(
+ arm_fir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always numStages */
+ memset(pState, 0, (numStages) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
new file mode 100644
index 0000000..42e7c0d
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
@@ -0,0 +1,506 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_q15.c
+ * Description: Q15 FIR lattice filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 FIR lattice filter.
+ @param[in] S points to an instance of the Q15 FIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_fir_lattice_q15(
+ const arm_fir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *px; /* Temporary state pointer */
+ const q15_t *pk; /* Temporary coefficient pointer */
+ uint32_t numStages = S->numStages; /* Number of stages in the filter */
+ uint32_t blkCnt, stageCnt; /* Loop counters */
+ q31_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */
+ q31_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */
+ q31_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+ gcurr0 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read two samples from input buffer */
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+ fcurr1 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* Read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* Process first sample for first tap */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Process second sample for first tap */
+ fnext1 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ /* Read next two samples from input buffer */
+ /* f0(n+2) = x(n+2) */
+ fcurr2 = *pSrc++;
+ fcurr3 = *pSrc++;
+
+ /* Process third sample for first tap */
+ fnext2 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + fcurr1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ /* Process fourth sample for first tap */
+ fnext3 = (q31_t) ((fcurr2 * (*pk )) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+ gnext3 = (q31_t) ((fcurr3 * (*pk++)) >> 15U) + fcurr2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ /* Copy only last input sample into the state buffer
+ which will be used for next samples processing */
+ *px++ = (q15_t) fcurr3;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ /* Loop unrolling. Process 4 taps at a time . */
+ stageCnt = (numStages - 1U) >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numStages-3 coefficients. */
+
+ /* Process 2nd, 3rd, 4th and 5th taps ... here */
+ while (stageCnt > 0U)
+ {
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Process first sample for 2nd, 6th .. tap */
+ /* Sample processing for K2, K6.... */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* Process second sample for 2nd, 6th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+
+ /* Process third sample for 2nd, 6th .. tap */
+ fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+
+ /* Process fourth sample for 2nd, 6th .. tap */
+ fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Sample processing for K3, K7.... */
+ /* Process first sample for 3rd, 7th .. tap */
+ /* f3(n) = f2(n) + K3 * g2(n-1) */
+ fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0;
+ fcurr0 = __SSAT(fcurr0, 16);
+
+ /* Process second sample for 3rd, 7th .. tap */
+ fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1;
+ fcurr1 = __SSAT(fcurr1, 16);
+
+ /* Process third sample for 3rd, 7th .. tap */
+ fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2;
+ fcurr2 = __SSAT(fcurr2, 16);
+
+ /* Process fourth sample for 3rd, 7th .. tap */
+ fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3;
+ fcurr3 = __SSAT(fcurr3, 16);
+
+ /* Calculation of state values for next stage */
+ /* g3(n) = f2(n) * K3 + g2(n-1) */
+ gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Sample processing for K4, K8.... */
+ /* Process first sample for 4th, 8th .. tap */
+ /* f4(n) = f3(n) + K4 * g3(n-1) */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* Process second sample for 4th, 8th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+
+ /* Process third sample for 4th, 8th .. tap */
+ fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+
+ /* Process fourth sample for 4th, 8th .. tap */
+ fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+
+ /* g4(n) = f3(n) * K4 + g3(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g4(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Sample processing for K5, K9.... */
+ /* Process first sample for 5th, 9th .. tap */
+ /* f5(n) = f4(n) + K5 * g4(n-1) */
+ fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0;
+ fcurr0 = __SSAT(fcurr0, 16);
+
+ /* Process second sample for 5th, 9th .. tap */
+ fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1;
+ fcurr1 = __SSAT(fcurr1, 16);
+
+ /* Process third sample for 5th, 9th .. tap */
+ fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2;
+ fcurr2 = __SSAT(fcurr2, 16);
+
+ /* Process fourth sample for 5th, 9th .. tap */
+ fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3;
+ fcurr3 = __SSAT(fcurr3, 16);
+
+ /* Calculation of state values for next stage */
+ /* g5(n) = f4(n) * K5 + g4(n-1) */
+ gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ stageCnt--;
+ }
+
+ /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+ stageCnt = (numStages - 1U) % 0x4U;
+
+ while (stageCnt > 0U)
+ {
+ gcurr0 = *px;
+
+ /* save g value in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Process four samples for last three taps here */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+
+ fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+
+ fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ stageCnt--;
+ }
+
+ /* The results in the 4 accumulators, store in the destination buffer. */
+ /* y(n) = fN(n) */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(fcurr0, fcurr1, 16));
+ write_q15x2_ia (&pDst, __PKHBT(fcurr2, fcurr3, 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(fcurr1, fcurr0, 16));
+ write_q15x2_ia (&pDst, __PKHBT(fcurr3, fcurr2, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) fcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = __SSAT(fcurr0, 16);
+
+ blkCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* save f0(n) in state buffer */
+ *px++ = (q15_t) fcurr0;
+
+ /* f1(n) is saved in fcurr for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g1(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* save g0(n-1) in state buffer */
+ *px++ = (q15_t) gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = __SSAT(fcurr0, 16);
+
+ blkCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
new file mode 100644
index 0000000..c8d28d7
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
@@ -0,0 +1,505 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_q31.c
+ * Description: Q31 FIR lattice filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR lattice filter.
+ @param[in] S points to an instance of the Q31 FIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits.
+ */
+
+void arm_fir_lattice_q31(
+ const arm_fir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *px; /* Temporary state pointer */
+ const q31_t *pk; /* Temporary coefficient pointer */
+ uint32_t numStages = S->numStages; /* Number of stages in the filter */
+ uint32_t blkCnt, stageCnt; /* Loop counters */
+ q31_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */
+ q31_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */
+ q31_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+ gcurr0 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read two samples from input buffer */
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+ fcurr1 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* Read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* Process first sample for first tap */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Process second sample for first tap */
+ fnext1 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + fcurr0;
+
+ /* Read next two samples from input buffer */
+ /* f0(n+2) = x(n+2) */
+ fcurr2 = *pSrc++;
+ fcurr3 = *pSrc++;
+
+ /* Process third sample for first tap */
+ fnext2 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + fcurr1;
+
+ /* Process fourth sample for first tap */
+ fnext3 = (q31_t) (((q63_t) fcurr2 * (*pk )) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk++)) >> 32U);
+ gnext3 = (gnext3 << 1U) + fcurr2;
+
+ /* Copy only last input sample into the state buffer
+ which will be used for next samples processing */
+ *px++ = fcurr3;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ /* Loop unrolling. Process 4 taps at a time . */
+ stageCnt = (numStages - 1U) >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numStages-3 coefficients. */
+
+ /* Process 2nd, 3rd, 4th and 5th taps ... here */
+ while (stageCnt > 0U)
+ {
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Process first sample for 2nd, 6th .. tap */
+ /* Sample processing for K2, K6.... */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* Process second sample for 2nd, 6th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+
+ /* Process third sample for 2nd, 6th .. tap */
+ fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+
+ /* Process fourth sample for 2nd, 6th .. tap */
+ fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K3, K7.... */
+ /* Process first sample for 3rd, 7th .. tap */
+ /* f3(n) = f2(n) + K3 * g2(n-1) */
+ fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fcurr0 = (fcurr0 << 1U) + fnext0;
+
+ /* Process second sample for 3rd, 7th .. tap */
+ fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fcurr1 = (fcurr1 << 1U) + fnext1;
+
+ /* Process third sample for 3rd, 7th .. tap */
+ fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fcurr2 = (fcurr2 << 1U) + fnext2;
+
+ /* Process fourth sample for 3rd, 7th .. tap */
+ fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fcurr3 = (fcurr3 << 1U) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g3(n) = f2(n) * K3 + g2(n-1) */
+ gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K4, K8.... */
+ /* Process first sample for 4th, 8th .. tap */
+ /* f4(n) = f3(n) + K4 * g3(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* Process second sample for 4th, 8th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+
+ /* Process third sample for 4th, 8th .. tap */
+ fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+
+ /* Process fourth sample for 4th, 8th .. tap */
+ fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+
+ /* g4(n) = f3(n) * K4 + g3(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g4(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K5, K9.... */
+ /* Process first sample for 5th, 9th .. tap */
+ /* f5(n) = f4(n) + K5 * g4(n-1) */
+ fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fcurr0 = (fcurr0 << 1U) + fnext0;
+
+ /* Process second sample for 5th, 9th .. tap */
+ fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fcurr1 = (fcurr1 << 1U) + fnext1;
+
+ /* Process third sample for 5th, 9th .. tap */
+ fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fcurr2 = (fcurr2 << 1U) + fnext2;
+
+ /* Process fourth sample for 5th, 9th .. tap */
+ fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fcurr3 = (fcurr3 << 1U) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g5(n) = f4(n) * K5 + g4(n-1) */
+ gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ stageCnt--;
+ }
+
+ /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+ stageCnt = (numStages - 1U) % 0x4U;
+
+ while (stageCnt > 0U)
+ {
+ gcurr0 = *px;
+
+ /* save g value in state buffer */
+ *px++ = gnext3;
+
+ /* Process four samples for last three taps here */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+
+ fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+
+ fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ stageCnt--;
+ }
+
+ /* The results in the 4 accumulators, store in the destination buffer. */
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+ *pDst++ = fcurr1;
+ *pDst++ = fcurr2;
+ *pDst++ = fcurr3;
+
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* save g1(n) in state buffer */
+ *px++ = fcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+
+ blkCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext << 1U) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* save f0(n) in state buffer */
+ *px++ = fcurr0;
+
+ /* f1(n) is saved in fcurr for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g1(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* save g0(n-1) in state buffer */
+ *px++ = gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+
+ blkCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
new file mode 100644
index 0000000..6a184a6
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
@@ -0,0 +1,797 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_q15.c
+ * Description: Q15 FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR filter.
+ @param[in] S points to an instance of the Q15 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+
+ @remark
+ Refer to \ref arm_fir_fast_q15() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+static void arm_fir_q15_1_8_mve(const arm_fir_instance_q15 * S, const q15_t * pSrc, q15_t * pDst, uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ const q15_t *pSamples; /* Temporary pointer to the sample buffer */
+ q15_t *pOutput; /* Temporary pointer to the output buffer */
+ const q15_t *pTempSrc; /* Temporary pointer to the source data */
+ q15_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q15x8_t vecIn0;
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffs;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+
+ q63_t acc0, acc1, acc2, acc3;
+
+ blkCnt = blockSize >> 2;
+
+ while (blkCnt > 0U)
+ {
+ const q15_t *pSamplesTmp = pSamples;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmlaldavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vmlaldavq(vecIn0, vecCoeffs);
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc3, 15);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ *(q15x8_t *) pStateCur = *(q15x8_t *) pTempSrc;
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmlaldavq(vecIn0, vecCoeffs);
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ }
+ break;
+
+ case 2:
+ {
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavq(vecIn0, vecCoeffs);
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ }
+ break;
+
+ case 1:
+ {
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavq(vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 3;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 8;
+ pTempDest += 8;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+void arm_fir_q15(
+ const arm_fir_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ const q15_t *pSamples; /* Temporary pointer to the sample buffer */
+ q15_t *pOutput; /* Temporary pointer to the output buffer */
+ const q15_t *pTempSrc; /* Temporary pointer to the source data */
+ q15_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q15x8_t vecIn0;
+ uint32_t tapsBlkCnt = (numTaps + 7) / 8;
+ q63_t acc0, acc1, acc2, acc3;
+
+ if (blockSize >= 12)
+ {
+ if(numTaps <= 8) {
+ /* [1 to 8 taps] specialized routine */
+ arm_fir_q15_1_8_mve(S,pSrc, pDst, blockSize);
+ return;
+ }
+ }
+
+ if (blockSize >= 12)
+ {
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+
+ while (blkCnt > 0U)
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmlaldavaq(acc2, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vmlaldavaq(acc3, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc3, 15);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ *(q15x8_t *) pStateCur = *(q15x8_t *) pTempSrc;
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmlaldavaq(acc2, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ }
+ break;
+
+ case 2:
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ }
+ break;
+
+ case 1:
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ }
+ break;
+ }
+ }
+ else
+ {
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q63_t acc0; /* Accumulator */
+ uint32_t blkCnt,tapCnt; /* Loop counters */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+ blkCnt = blockSize;
+ while (blkCnt > 0U)
+ {
+ /* Copy two samples into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Use SIMD to hold states and coefficients */
+ px = pState;
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (q15_t) *px++ * *pb++;
+ acc0 += (q15_t) *px++ * *pb++;
+
+ tapCnt--;
+ }
+
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 3;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 8;
+ pTempDest += 8;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+void arm_fir_q15(
+ const arm_fir_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q63_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+ px = pState;
+
+ /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+ pb = pCoeffs;
+
+ /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+ x2 = read_q15x2_ia (&px);
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc0 = __SMLALD(x0, c0, acc0);
+
+ /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+ acc2 = __SMLALD(x2, c0, acc2);
+
+ /* pack x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read state x[n-N-4], x[n-N-5] */
+ x0 = read_q15x2_ia (&px);
+
+ /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* pack x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ /* Read coefficients b[N-2], b[N-3] */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+ acc0 = __SMLALD(x2, c0, acc0);
+
+ /* Read state x[n-N-6], x[n-N-7] with offset */
+ x2 = read_q15x2_ia (&px);
+
+ /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+ acc2 = __SMLALD(x0, c0, acc2);
+
+ /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* pack x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ /* Decrement tap count */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps.
+ This is always be 2 taps since the filter length is even. */
+ if ((numTaps & 0x3U) != 0U)
+ {
+ /* Read last two coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc2 = __SMLALD(x2, c0, acc2);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read last state variables */
+ x0 = read_q15x2 (px);
+
+ /* Perform the multiply-accumulates */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* Perform the multiply-accumulates */
+ acc3 = __SMLALDX(x1, c0, acc3);
+ }
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation.
+ Then store the 4 outputs in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy two samples into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Use SIMD to hold states and coefficients */
+ px = pState;
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (q31_t) *px++ * *pb++;
+ acc0 += (q31_t) *px++ * *pb++;
+
+ tapCnt--;
+ }
+
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
new file mode 100644
index 0000000..e236877
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
@@ -0,0 +1,1049 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_q31.c
+ * Description: Q31 FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for Q31 FIR filter.
+ @param[in] S points to an instance of the Q31 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+ After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_fir_fast_q31() for a faster but less precise implementation of this filter.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+
+
+static void arm_fir_q31_1_4_mve(const arm_fir_instance_q31 * S, const q31_t * pSrc, q31_t * pDst, uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */
+ q31_t *pOutput; /* Temporary pointer to the output buffer */
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q31x4_t vecIn0;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+
+ q63_t acc0, acc1, acc2, acc3;
+ /*
+ * load 4 coefs
+ */
+ q31x4_t vecCoeffs = *(q31x4_t *) pCoeffs;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ const q31_t *pSamplesTmp = pSamples;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ *pOutput++ = (q31_t) acc3;
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+
+ switch (residual)
+ {
+ case 3:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+
+ *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc;
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ }
+ break;
+
+ case 2:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ }
+ break;
+
+ case 1:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ }
+ break;
+ }
+
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+static void arm_fir_q31_5_8_mve(const arm_fir_instance_q31 * S, const q31_t * pSrc, q31_t * pDst, uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */
+ q31_t *pOutput; /* Temporary pointer to the output buffer */
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q31x4_t vecIn0;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecCoeffs1_4, vecCoeffs5_8;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+
+
+ /*
+ * load 8 coefs
+ */
+ vecCoeffs1_4 = *(q31x4_t *) pCoeffs;
+ vecCoeffs5_8 = *(q31x4_t *) (pCoeffs + 4);
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ const q31_t *pSamplesTmp = pSamples;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamplesTmp[4]);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8);
+
+ vecIn0 = vld1q(&pSamplesTmp[5]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5_8);
+
+ vecIn0 = vld1q(&pSamplesTmp[6]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs5_8);
+
+ vecIn0 = vld1q(&pSamplesTmp[7]);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs5_8);
+
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ *pOutput++ = (q31_t) acc3;
+
+ pSamples += 4;
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc;
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5_8);
+
+ vecIn0 = vld1q(&pSamples[6]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs5_8);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ }
+ break;
+
+ case 2:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8);
+
+ vecIn0 = vld1q(&pSamples[5]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5_8);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ }
+ break;
+
+ case 1:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4);
+
+ vecIn0 = vld1q(&pSamples[4]);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8);
+
+ acc0 = asrl(acc0, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */
+ q31_t *pOutput; /* Temporary pointer to the output buffer */
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q31x4_t vecIn0;
+ uint32_t tapsBlkCnt = (numTaps + 3) / 4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecCoeffs;
+
+ /*
+ * [1 to 8 taps] specialized routines
+ */
+
+ if (blockSize >= 8)
+ {
+ if (numTaps <= 4)
+ {
+ arm_fir_q31_1_4_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 8)
+ {
+ arm_fir_q31_5_8_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ }
+
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ if (blockSize >= 8)
+ {
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ tapsBlkCnt = (numTaps ) / 4;
+ uint32_t i = tapsBlkCnt ;
+ while (i > 0U)
+ {
+ /*
+ * load 4 coefs
+ */
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ tapsBlkCnt = (numTaps ) & 3;
+ i = tapsBlkCnt ;
+ while (i > 0U)
+ {
+ /*
+ * load 4 coefs
+ */
+
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8;
+ acc1 += ((q63_t) pSamplesTmp[1] * *pCoeffsTmp) >> 8;
+ acc2 += ((q63_t) pSamplesTmp[2] * *pCoeffsTmp) >> 8;
+ acc3 += ((q63_t) pSamplesTmp[3] * *pCoeffsTmp) >> 8;
+
+
+ pSamplesTmp += 1;
+ pCoeffsTmp += 1;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ /* .54-> .31 conversion and store accumulators */
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ *pOutput++ = (q31_t) acc3;
+
+ pSamples += 4;
+
+
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+
+ *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc;
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ tapsBlkCnt = numTaps / 4;
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ i--;
+ }
+
+ tapsBlkCnt = (numTaps ) & 3;
+
+ i = tapsBlkCnt ;
+ while (i > 0U)
+ {
+
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8;
+ acc1 += ((q63_t) pSamplesTmp[1] * *pCoeffsTmp) >> 8;
+ acc2 += ((q63_t) pSamplesTmp[2] * *pCoeffsTmp) >> 8;
+
+ pSamplesTmp += 1;
+ pCoeffsTmp += 1;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ }
+ break;
+
+ case 2:
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ tapsBlkCnt = (numTaps ) / 4;
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ i--;
+ }
+
+ tapsBlkCnt = (numTaps ) & 3;
+ i = tapsBlkCnt ;
+ while (i > 0U)
+ {
+
+
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8;
+ acc1 += ((q63_t) pSamplesTmp[1] * *pCoeffsTmp) >> 8;
+
+ pSamplesTmp += 1;
+ pCoeffsTmp += 1;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ }
+ break;
+
+ case 1:
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ tapsBlkCnt = (numTaps ) / 4;
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ i--;
+ }
+
+ tapsBlkCnt = (numTaps ) & 3;
+ i = tapsBlkCnt ;
+ while (i > 0U)
+ {
+
+
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8;
+
+ pSamplesTmp += 1;
+ pCoeffsTmp += 1;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ acc0 = asrl(acc0, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ }
+ break;
+ }
+ }
+ else
+ {
+
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q63_t acc0; /* Accumulator */
+ uint32_t i, blkCnt; /* Loop counters */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += (q63_t) *px++ * *pb++;
+
+ i--;
+ } while (i > 0U);
+
+ /* Result is in 2.62 format. Convert to 1.31 and store in destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31U);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q63_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2; /* Accumulators */
+ q31_t x0, x1, x2; /* Temporary variables to hold state values */
+ q31_t c0; /* Temporary variable to hold coefficient value */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+
+ blkCnt = blockSize / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 3 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first 2 samples from the state buffer: x[n-numTaps], x[n-numTaps-1] */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Loop unrolling: process 3 taps at a time. */
+ tapCnt = numTaps / 3;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-2] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x0 * c0);
+ acc1 += ((q63_t) x1 * c0);
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Read the coefficient and state */
+ c0 = *(pb + 1U);
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x1 * c0);
+ acc1 += ((q63_t) x2 * c0);
+ acc2 += ((q63_t) x0 * c0);
+
+ /* Read the coefficient and state */
+ c0 = *(pb + 2U);
+ x1 = *(px++);
+
+ /* update coefficient pointer */
+ pb += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x2 * c0);
+ acc1 += ((q63_t) x0 * c0);
+ acc2 += ((q63_t) x1 * c0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = numTaps % 0x3U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x0 * c0);
+ acc1 += ((q63_t) x1 * c0);
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by 3 to process the next group of 3 samples */
+ pState = pState + 3;
+
+ /* The result is in 2.30 format. Convert to 1.31 and store in destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31U);
+ *pDst++ = (q31_t) (acc1 >> 31U);
+ *pDst++ = (q31_t) (acc2 >> 31U);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += (q63_t) *px++ * *pb++;
+
+ i--;
+ } while (i > 0U);
+
+ /* Result is in 2.62 format. Convert to 1.31 and store in destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31U);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
new file mode 100644
index 0000000..219ea0f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
@@ -0,0 +1,751 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_q7.c
+ * Description: Q7 FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for Q7 FIR filter.
+ @param[in] S points to an instance of the Q7 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ The accumulator is converted to 18.7 format by discarding the low 7 bits.
+ Finally, the result is truncated to 1.7 format.
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_fir_q7_1_16_mve(const arm_fir_instance_q7 * S, const q7_t * pSrc, q7_t * pDst, uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *pStateCur; /* Points to the current sample of the state */
+ const q7_t *pSamples; /* Temporary pointer to the sample buffer */
+ q7_t *pOutput; /* Temporary pointer to the output buffer */
+ const q7_t *pTempSrc; /* Temporary pointer to the source data */
+ q7_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q7x16_t vecIn0;
+ q31_t acc0, acc1, acc2, acc3;
+ q7x16_t vecCoeffs;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+
+ /*
+ * load 16 coefs
+ */
+ vecCoeffs = *(q7x16_t *) pCoeffs;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vmladavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);;
+ acc1 = vmladavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[2]);;
+ acc2 = vmladavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ acc3 = vmladavq(vecIn0, vecCoeffs);
+
+ /*
+ * Store the 1.7 format filter output in destination buffer
+ */
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc3 >> 7U), 8);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vmladavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vmladavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ acc2 = vmladavq(vecIn0, vecCoeffs);
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8);
+ }
+ break;
+
+ case 2:
+ {
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vmladavq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vmladavq(vecIn0, vecCoeffs);
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ }
+ break;
+
+ case 1:
+ {
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vmladavq(vecIn0, vecCoeffs);
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps >> 4;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 16;
+ pTempDest += 16;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vstrbq_p_s8(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+void arm_fir_q7(
+ const arm_fir_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *pStateCur; /* Points to the current sample of the state */
+ const q7_t *pSamples; /* Temporary pointer to the sample buffer */
+ q7_t *pOutput; /* Temporary pointer to the output buffer */
+ const q7_t *pTempSrc; /* Temporary pointer to the source data */
+ q7_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q7x16_t vecIn0;
+ uint32_t tapsBlkCnt = (numTaps + 15) / 16;
+ q31_t acc0, acc1, acc2, acc3;
+ q7x16_t vecCoeffs;
+
+ if (blockSize >= 20)
+ {
+ if (numTaps <= 16)
+ {
+ /*
+ * [1 to 16 taps] specialized routine
+ */
+ arm_fir_q7_1_16_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ }
+
+ if (blockSize >= 20)
+ {
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+
+ /*
+ * outer samples loop
+ */
+ while (blkCnt > 0U)
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ /*
+ * inner coefficients loop
+ */
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ /*
+ * load 16 coefs
+ */
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmladavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmladavaq(acc2, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vmladavaq(acc3, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+ /*
+ * Store the 1.7 format filter output in destination buffer
+ */
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc3 >> 7U), 8);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmladavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmladavaq(acc2, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ i--;
+ }
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8);
+ }
+ break;
+
+ case 2:
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ acc1 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmladavaq(acc1, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ i--;
+ }
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ }
+ break;
+
+ case 1:
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ uint32_t i = tapsBlkCnt;
+ while (i > 0U)
+ {
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ i--;
+ }
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ }
+ break;
+ }
+ }
+ else
+ {
+ q7_t *pStateCurnt; /* Points to the current sample of the state */
+ q7_t *px; /* Temporary pointer for state buffer */
+ const q7_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulator */
+ uint32_t i,blkCnt; /* Loop counters */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ acc0 += (q15_t) * (px++) * (*(pb++));
+ i--;
+ }
+
+ /* The result is in 2.14 format. Convert to 1.7
+ Then store the output in the destination buffer. */
+ *pDst++ = __SSAT((acc0 >> 7U), 8);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &S->pState[blockSize];
+ pTempDest = S->pState;
+
+ blkCnt = numTaps >> 4;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 16;
+ pTempDest += 16;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vstrbq_p_s8(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+#else
+void arm_fir_q7(
+ const arm_fir_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *pStateCurnt; /* Points to the current sample of the state */
+ q7_t *px; /* Temporary pointer for state buffer */
+ const q7_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q7_t x0, x1, x2, x3, c0; /* Temporary variables to hold state */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first 3 samples from the state buffer:
+ * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-4 coefficients. */
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-3] sample */
+ x3 = *px;
+
+ /* acc0 += b[numTaps] * x[n-numTaps] */
+ acc0 += ((q15_t) x0 * c0);
+
+ /* acc1 += b[numTaps] * x[n-numTaps-1] */
+ acc1 += ((q15_t) x1 * c0);
+
+ /* acc2 += b[numTaps] * x[n-numTaps-2] */
+ acc2 += ((q15_t) x2 * c0);
+
+ /* acc3 += b[numTaps] * x[n-numTaps-3] */
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb + 1U);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x1 * c0);
+ acc1 += ((q15_t) x2 * c0);
+ acc2 += ((q15_t) x3 * c0);
+ acc3 += ((q15_t) x0 * c0);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb + 2U);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x2 * c0);
+ acc1 += ((q15_t) x3 * c0);
+ acc2 += ((q15_t) x0 * c0);
+ acc3 += ((q15_t) x1 * c0);
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *(pb + 3U);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px + 3U);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x3 * c0);
+ acc1 += ((q15_t) x0 * c0);
+ acc2 += ((q15_t) x1 * c0);
+ acc3 += ((q15_t) x2 * c0);
+
+ /* update coefficient pointer */
+ pb += 4U;
+ px += 4U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x0 * c0);
+ acc1 += ((q15_t) x1 * c0);
+ acc2 += ((q15_t) x2 * c0);
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The results in the 4 accumulators are in 2.62 format. Convert to 1.31
+ Then store the 4 outputs in the destination buffer. */
+ acc0 = __SSAT((acc0 >> 7U), 8);
+ *pDst++ = acc0;
+ acc1 = __SSAT((acc1 >> 7U), 8);
+ *pDst++ = acc1;
+ acc2 = __SSAT((acc2 >> 7U), 8);
+ *pDst++ = acc2;
+ acc3 = __SSAT((acc3 >> 7U), 8);
+ *pDst++ = acc3;
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ acc0 += (q15_t) * (px++) * (*(pb++));
+ i--;
+ }
+
+ /* The result is in 2.14 format. Convert to 1.7
+ Then store the output in the destination buffer. */
+ *pDst++ = __SSAT((acc0 >> 7U), 8);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of FIR group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
new file mode 100644
index 0000000..f44f037
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_f32.c
+ * Description: Floating-point sparse FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters
+
+ This group of functions implements sparse FIR filters.
+ Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero.
+ Sparse filters are used for simulating reflections in communications and audio applications.
+
+ There are separate functions for Q7, Q15, Q31, and floating-point data types.
+ The functions operate on blocks of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst points to input and output arrays respectively containing blockSize values.
+
+ @par Algorithm
+ The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients.
+ This is in addition to the coefficient array b.
+ The implementation essentially skips the multiplications by zero and leads to an efficient realization.
+ + y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]] ++ @par + \image html FIRSparse.gif "Sparse FIR filter. b[n] represents the filter coefficients" + @par +
pCoeffs points to a coefficient array of size numTaps;
+ pTapDelay points to an array of nonzero indices and is also of size numTaps;
+ pState points to a state array of size maxDelay + blockSize, where
+ maxDelay is the largest offset value that is ever used in the pTapDelay array.
+ Some of the processing functions also require temporary working buffers.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 4 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 4 different data type filter instance structures
+
+ arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ arm_fir_sparse_instance_q7 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the sparse FIR filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point sparse FIR filter.
+ @param[in] S points to an instance of the floating-point sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process
+ @return none
+ */
+
+void arm_fir_sparse_f32(
+ arm_fir_sparse_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ float32_t * pScratchIn,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *px; /* Scratch buffer pointer */
+ float32_t *py = pState; /* Temporary pointers for state buffer */
+ float32_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ float32_t *pOut; /* Destination pointer */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ float32_t coeff = *pCoeffs++; /* Read the first coefficient value */
+
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, (int32_t *) pSrc, 1, blockSize);
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplications and store in destination buffer */
+ *pOut++ = *px++ * coeff;
+
+ *pOut++ = *px++ * coeff;
+
+ *pOut++ = *px++ * coeff;
+
+ *pOut++ = *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in destination buffer */
+ *pOut++ = *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+
+ *pOut++ += *px++ * coeff;
+
+ *pOut++ += *px++ * coeff;
+
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement tap loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+ *pOut++ += *px++ * coeff;
+ *pOut++ += *px++ * coeff;
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
new file mode 100644
index 0000000..7745e71
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_f32.c
+ * Description: Floating-point sparse FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point sparse FIR filter.
+ @param[in,out] S points to an instance of the floating-point sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the
+ number of samples processed by the arm_fir_sparse_f32() function.
+ */
+
+void arm_fir_sparse_init_f32(
+ arm_fir_sparse_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
new file mode 100644
index 0000000..d07d611
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_q15.c
+ * Description: Q15 sparse FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 sparse FIR filter.
+ @param[in,out] S points to an instance of the Q15 sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the
+ number of words processed by arm_fir_sparse_q15() function.
+ */
+
+void arm_fir_sparse_init_q15(
+ arm_fir_sparse_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
new file mode 100644
index 0000000..7c32cea
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_q31.c
+ * Description: Q31 sparse FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 sparse FIR filter.
+ @param[in,out] S points to an instance of the Q31 sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the number of words processed by arm_fir_sparse_q31() function.
+ */
+
+void arm_fir_sparse_init_q31(
+ arm_fir_sparse_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
new file mode 100644
index 0000000..98153f3
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_q7.c
+ * Description: Q7 sparse FIR filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q7 sparse FIR filter.
+ @param[in,out] S points to an instance of the Q7 sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the
+ number of samples processed by the arm_fir_sparse_q7() function.
+ */
+
+void arm_fir_sparse_init_q7(
+ arm_fir_sparse_instance_q7 * S,
+ uint16_t numTaps,
+ const q7_t * pCoeffs,
+ q7_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
new file mode 100644
index 0000000..9cea93e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_q15.c
+ * Description: Q15 sparse FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 sparse FIR filter.
+ @param[in] S points to an instance of the Q15 sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] pScratchOut points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator.
+ Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator.
+ If the accumulator result overflows it will wrap around rather than saturate.
+ After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format.
+ In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.
+ */
+
+void arm_fir_sparse_q15(
+ arm_fir_sparse_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ q15_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *px; /* Temporary pointers for scratch buffer */
+ q15_t *py = pState; /* Temporary pointers for state buffer */
+ q15_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ q15_t *pOut = pDst; /* Working pointer for output */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */
+ q15_t coeff = *pCoeffs++; /* Read the first coefficient value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t in1, in2; /* Temporary variables */
+#endif
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_q15(py, (int32_t) delaySize, &S->stateIndex, 1,pSrc, 1, blockSize);
+
+ /* Loop over the number of taps. */
+ tapCnt = numTaps;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* All the output values are in pScratchOut buffer.
+ Convert them into 1.15 format, saturate and store in the destination buffer. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ in1 = *pScr2++;
+ in2 = *pScr2++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ in1 = *pScr2++;
+ in2 = *pScr2++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
new file mode 100644
index 0000000..86d3e1d
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
@@ -0,0 +1,357 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_q31.c
+ * Description: Q31 sparse FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 sparse FIR filter.
+ @param[in] S points to an instance of the Q31 sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The 1.31 x 1.31 multiplications are truncated to 2.30 format.
+ This leads to loss of precision on the intermediate multiplications and provides only a single guard bit.
+ If the accumulator result overflows, it wraps around rather than saturate.
+ In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.
+ */
+
+void arm_fir_sparse_q31(
+ arm_fir_sparse_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ q31_t * pScratchIn,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *px; /* Scratch buffer pointer */
+ q31_t *py = pState; /* Temporary pointers for state buffer */
+ q31_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ q31_t *pOut; /* Destination pointer */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ q31_t coeff = *pCoeffs++; /* Read the first coefficient value */
+ q31_t in;
+ q63_t out; /* Temporary output variable */
+
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+ (int32_t *) pSrc, 1, blockSize);
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplications and store in destination buffer */
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in destination buffer */
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement tap loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Working output pointer is updated */
+ pOut = pDst;
+
+ /* Output is converted into 1.31 format. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ in = *pOut << 1;
+ *pOut++ = in;
+ in = *pOut << 1;
+ *pOut++ = in;
+ in = *pOut << 1;
+ *pOut++ = in;
+ in = *pOut << 1;
+ *pOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ in = *pOut << 1;
+ *pOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
new file mode 100644
index 0000000..7a2b57f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_q7.c
+ * Description: Q7 sparse FIR filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the Q7 sparse FIR filter.
+ @param[in] S points to an instance of the Q7 sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] pScratchOut points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ The accumulator is then converted to 18.7 format by discarding the low 7 bits.
+ Finally, the result is truncated to 1.7 format.
+ */
+
+void arm_fir_sparse_q7(
+ arm_fir_sparse_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ q7_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *px; /* Scratch buffer pointer */
+ q7_t *py = pState; /* Temporary pointers for state buffer */
+ q7_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ q7_t *pOut = pDst; /* Destination pointer */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */
+ q31_t in;
+ q7_t coeff = *pCoeffs++; /* Read the coefficient value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q7_t in1, in2, in3, in4;
+#endif
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, blockSize);
+
+ /* Loop over the number of taps. */
+ tapCnt = numTaps;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* All the output values are in pScratchOut buffer.
+ Convert them into 1.15 format, saturate and store in the destination buffer. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+ in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+ in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+ in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+ write_q7x4_ia (&pOut, __PACKq7(in1, in2, in3, in4));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
new file mode 100644
index 0000000..c48efe3
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
@@ -0,0 +1,354 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_f32.c
+ * Description: Floating-point IIR Lattice filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters
+
+ This set of functions implements lattice filters
+ for Q15, Q31 and floating-point data types. Lattice filters are used in a
+ variety of adaptive filter applications. The filter structure has feedforward and
+ feedback components and the net impulse response is infinite length.
+ The functions operate on blocks
+ of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst point to input and output arrays containing blockSize values.
+
+ @par Algorithm
+ \image html IIRLattice.gif "Infinite Impulse Response Lattice filter"
+ @par
+ + fN(n) = x(n) + fm-1(n) = fm(n) - km * gm-1(n-1) for m = N, N-1, ..., 1 + gm(n) = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ..., 1 + y(n) = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n) ++ @par +
pkCoeffs points to array of reflection coefficients of size numStages.
+ Reflection Coefficients are stored in time-reversed order.
+ @par
+
+ {kN, kN-1, ..., k1}
+
+ @par
+ pvCoeffs points to the array of ladder coefficients of size (numStages+1).
+ Ladder coefficients are stored in time-reversed order.
+
+ {vN, vN-1, ..., v0}
+
+ @par
+ pState points to a state array of size numStages + blockSize.
+ The state variables shown in the figure above (the g values) are stored in the pState array.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:
+
+ arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};
+
+ @par
+ where numStages is the number of stages in the filter; pState points to the state buffer array;
+ pkCoeffs points to array of the reflection coefficients; pvCoeffs points to the array of ladder coefficients.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the IIR lattice filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point IIR lattice filter.
+ @param[in] S points to an instance of the floating-point IIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_f32(
+ const arm_iir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pStateCur; /* State current pointer */
+ float32_t acc; /* Accumlator */
+ float32_t fnext1, fnext2, gcurr1, gnext; /* Temporary variables for lattice stages */
+ float32_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */
+ uint32_t numStages = S->numStages; /* Number of stages */
+ uint32_t blkCnt, tapCnt; /* Temporary variables for counts */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t gcurr2; /* Temporary variables for lattice stages */
+ float32_t k1, k2;
+ float32_t v1, v2, v3, v4;
+#endif
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fnext2 = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0.0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numStages) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read gN-1(n-1) from state buffer */
+ gcurr1 = *px1;
+
+ /* read reflection coefficient kN */
+ k1 = *pk;
+
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext1 = fnext2 - (k1 * gcurr1);
+
+ /* read ladder coefficient vN */
+ v1 = *pv;
+
+ /* read next reflection coefficient kN-1 */
+ k2 = *(pk + 1U);
+
+ /* Read gN-2(n-1) from state buffer */
+ gcurr2 = *(px1 + 1U);
+
+ /* read next ladder coefficient vN-1 */
+ v2 = *(pv + 1U);
+
+ /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+ fnext2 = fnext1 - (k2 * gcurr2);
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = gcurr1 + (k1 * fnext1);
+
+ /* read reflection coefficient kN-2 */
+ k1 = *(pk + 2U);
+
+ /* write gN(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Read gN-3(n-1) from state buffer */
+ gcurr1 = *(px1 + 2U);
+
+ /* y(n) += gN(n) * vN */
+ acc += (gnext * v1);
+
+ /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+ fnext1 = fnext2 - (k1 * gcurr1);
+
+ /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+ gnext = gcurr2 + (k2 * fnext2);
+
+ /* Read gN-4(n-1) from state buffer */
+ gcurr2 = *(px1 + 3U);
+
+ /* y(n) += gN-1(n) * vN-1 */
+ acc += (gnext * v2);
+
+ /* read reflection coefficient kN-3 */
+ k2 = *(pk + 3U);
+
+ /* write gN-1(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+ fnext2 = fnext1 - (k2 * gcurr2);
+
+ /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+ gnext = gcurr1 + (k1 * fnext1);
+
+ /* read ladder coefficient vN-2 */
+ v3 = *(pv + 2U);
+
+ /* y(n) += gN-2(n) * vN-2 */
+ acc += (gnext * v3);
+
+ /* write gN-2(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* update pointer */
+ pk += 4U;
+
+ /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+ gnext = (fnext2 * k2) + gcurr2;
+
+ /* read next ladder coefficient vN-3 */
+ v4 = *(pv + 3U);
+
+ /* y(n) += gN-4(n) * vN-4 */
+ acc += (gnext * v4);
+
+ /* write gN-3(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* update pointers */
+ px1 += 4U;
+ pv += 4U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numStages;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ gcurr1 = *px1++;
+ /* Process sample for last taps */
+ fnext1 = fnext2 - ((*pk) * gcurr1);
+ gnext = (fnext1 * (*pk++)) + gcurr1;
+ /* Output samples for last taps */
+ acc += (gnext * (*pv++));
+ *px2++ = gnext;
+ fnext2 = fnext1;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += (fnext2 * (*pv));
+
+ *px2++ = fnext2;
+
+ /* write out into pDst */
+ *pDst++ = acc;
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ /* Copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numStages >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = numStages;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
new file mode 100644
index 0000000..bd9f933
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_init_f32.c
+ * Description: Floating-point IIR lattice filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point IIR lattice filter.
+ @param[in] S points to an instance of the floating-point IIR lattice structure
+ @param[in] numStages number of stages in the filter
+ @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages
+ @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1
+ @param[in] pState points to state buffer. The array is of length numStages+blockSize
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_init_f32(
+ arm_iir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ float32_t * pkCoeffs,
+ float32_t * pvCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign reflection coefficient pointer */
+ S->pkCoeffs = pkCoeffs;
+
+ /* Assign ladder coefficient pointer */
+ S->pvCoeffs = pvCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numStages */
+ memset(pState, 0, (numStages + blockSize) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
new file mode 100644
index 0000000..01abf48
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_init_q15.c
+ * Description: Q15 IIR lattice filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 IIR lattice filter.
+ @param[in] S points to an instance of the Q15 IIR lattice structure
+ @param[in] numStages number of stages in the filter
+ @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages
+ @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1
+ @param[in] pState points to state buffer. The array is of length numStages+blockSize
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_init_q15(
+ arm_iir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ q15_t * pkCoeffs,
+ q15_t * pvCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign reflection coefficient pointer */
+ S->pkCoeffs = pkCoeffs;
+
+ /* Assign ladder coefficient pointer */
+ S->pvCoeffs = pvCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numStages */
+ memset(pState, 0, (numStages + blockSize) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
new file mode 100644
index 0000000..b472f6c
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_init_q31.c
+ * Description: Initialization function for the Q31 IIR lattice filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 IIR lattice filter.
+ @param[in] S points to an instance of the Q31 IIR lattice structure
+ @param[in] numStages number of stages in the filter
+ @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages
+ @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1
+ @param[in] pState points to state buffer. The array is of length numStages+blockSize
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_init_q31(
+ arm_iir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ q31_t * pkCoeffs,
+ q31_t * pvCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign reflection coefficient pointer */
+ S->pkCoeffs = pkCoeffs;
+
+ /* Assign ladder coefficient pointer */
+ S->pvCoeffs = pvCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numStages */
+ memset(pState, 0, (numStages + blockSize) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
new file mode 100644
index 0000000..9dbea81
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
@@ -0,0 +1,396 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_q15.c
+ * Description: Q15 IIR Lattice filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 IIR lattice filter.
+ @param[in] S points to an instance of the Q15 IIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+
+void arm_iir_lattice_q15(
+ const arm_iir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ q15_t *pStateCur; /* State current pointer */
+ q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */
+ q63_t acc; /* Accumlator */
+ q15_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */
+ uint32_t numStages = S->numStages; /* Number of stages */
+ uint32_t blkCnt, tapCnt; /* Temporary variables for counts */
+ q15_t out; /* Temporary variable for output */
+
+#if defined (ARM_MATH_DSP) && defined (ARM_MATH_LOOPUNROLL)
+ q15_t gnext1, gnext2; /* Temporary variables for lattice stages */
+ q31_t v; /* Temporary variable for ladder coefficient */
+#endif
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ /* Process sample for first tap */
+ gcurr = *px1++;
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext = __SSAT(gnext, 16);
+
+ /* write gN(n) into state for next sample processing */
+ *px2++ = (q15_t) gnext;
+
+ /* y(n) += gN(n) * vN */
+ acc += (q31_t) ((gnext * (*pv++)));
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numStages - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Process sample for 2nd, 6th ...taps */
+ /* Read gN-2(n-1) from state buffer */
+ gcurr = *px1++;
+ /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+ /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext1 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-1(n) into state for next sample processing */
+ *px2++ = (q15_t) gnext1;
+
+ /* Process sample for 3nd, 7th ...taps */
+ /* Read gN-3(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 3rd, 7th .. taps */
+ /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+ fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+ fcurr = __SSAT(fcurr, 16);
+ /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+ gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+ gnext2 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-2(n) into state */
+ *px2++ = (q15_t) gnext2;
+
+ /* Read vN-1 and vN-2 at a time */
+ v = read_q15x2_ia (&pv);
+
+ /* Pack gN-1(n) and gN-2(n) */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ gnext = __PKHBT(gnext1, gnext2, 16);
+#else
+ gnext = __PKHBT(gnext2, gnext1, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* y(n) += gN-1(n) * vN-1 */
+ /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+ /* y(n) += gN-2(n) * vN-2 */
+ /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+ acc = __SMLALD(gnext, v, acc);
+
+ /* Process sample for 4th, 8th ...taps */
+ /* Read gN-4(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 4th, 8th .. taps */
+ /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+ /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext1 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-3(n) for the next sample process */
+ *px2++ = (q15_t) gnext1;
+
+ /* Process sample for 5th, 9th ...taps */
+ /* Read gN-5(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 5th, 9th .. taps */
+ /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */
+ fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+ fcurr = __SSAT(fcurr, 16);
+ /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+ gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+ gnext2 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-4(n) for the next sample process */
+ *px2++ = (q15_t) gnext2;
+
+ /* Read vN-3 and vN-4 at a time */
+ v = read_q15x2_ia (&pv);
+
+ /* Pack gN-3(n) and gN-4(n) */
+#ifndef ARM_MATH_BIG_ENDIAN
+ gnext = __PKHBT(gnext1, gnext2, 16);
+#else
+ gnext = __PKHBT(gnext2, gnext1, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* y(n) += gN-4(n) * vN-4 */
+ /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+ /* y(n) += gN-3(n) * vN-3 */
+ /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+ acc = __SMLALD(gnext, v, acc);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ fnext = fcurr;
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numStages - 1U) % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample for last taps */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext = __SSAT(gnext, 16);
+
+ /* Output samples for last taps */
+ acc += (q31_t) (((q31_t) gnext * (*pv++)));
+ *px2++ = (q15_t) gnext;
+ fcurr = fnext;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += (q31_t) (((q31_t) fnext * (*pv++)));
+
+ out = (q15_t) __SSAT(acc >> 15, 16);
+ *px2++ = (q15_t) fnext;
+
+ /* write out into pDst */
+ *pDst++ = out;
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numStages >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ tapCnt = numStages;
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample */
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = fcurr - ((gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = ((fnext * (*pk++)) >> 15) + gcurr;
+ gnext = __SSAT(gnext, 16);
+
+ /* Output samples */
+ /* y(n) += gN(n) * vN */
+ acc += (q31_t) ((gnext * (*pv++)));
+
+ /* write gN(n) into state for next sample processing */
+ *px2++ = (q15_t) gnext;
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += (q31_t) ((fnext * (*pv++)));
+
+ out = (q15_t) __SSAT(acc >> 15, 16);
+ *px2++ = (q15_t) fnext;
+
+ /* write out into pDst */
+ *pDst++ = out;
+
+ /* Advance the state pointer by 1 to process the next group of samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ tapCnt = numStages;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
new file mode 100644
index 0000000..c4b9a76
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
@@ -0,0 +1,356 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_q31.c
+ * Description: Q31 IIR Lattice filter processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 IIR lattice filter.
+ @param[in] S points to an instance of the Q31 IIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits.
+ After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format.
+ */
+
+void arm_iir_lattice_q31(
+ const arm_iir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pStateCur; /* State current pointer */
+ q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */
+ q63_t acc; /* Accumlator */
+ q31_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */
+ uint32_t numStages = S->numStages; /* Number of stages */
+ uint32_t blkCnt, tapCnt; /* Temporary variables for counts */
+
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ /* Process sample for first tap */
+ gcurr = *px1++;
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+
+ /* write gN-1(n-1) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* y(n) += gN(n) * vN */
+ acc += ((q63_t) gnext * *pv++);
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numStages - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Process sample for 2nd, 6th ...taps */
+ /* Read gN-2(n-1) from state buffer */
+ gcurr = *px1++;
+ /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+ /* y(n) += gN-1(n) * vN-1 */
+ /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+ acc += ((q63_t) gnext * *pv++);
+ /* write gN-1(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Process sample for 3nd, 7th ...taps */
+ /* Read gN-3(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 3rd, 7th .. taps */
+ /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+ fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+ /* y(n) += gN-2(n) * vN-2 */
+ /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+ acc += ((q63_t) gnext * *pv++);
+ /* write gN-2(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Process sample for 4th, 8th ...taps */
+ /* Read gN-4(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 4th, 8th .. taps */
+ /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+ /* y(n) += gN-3(n) * vN-3 */
+ /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+ acc += ((q63_t) gnext * *pv++);
+ /* write gN-3(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Process sample for 5th, 9th ...taps */
+ /* Read gN-5(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 5th, 9th .. taps */
+ /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */
+ fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+ /* y(n) += gN-4(n) * vN-4 */
+ /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+ acc += ((q63_t) gnext * *pv++);
+
+ /* write gN-4(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ fnext = fcurr;
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numStages - 1U) % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample for last taps */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+
+ /* Output samples for last taps */
+ acc += ((q63_t) gnext * *pv++);
+ *px2++ = gnext;
+ fcurr = fnext;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += ((q63_t) fnext * *pv++);
+
+ *px2++ = fnext;
+
+ /* write out into pDst */
+ *pDst++ = (q31_t) (acc >> 31U);
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ /* Copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numStages >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ tapCnt = numStages;
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample */
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = clip_q63_to_q31(((q63_t) fcurr - ((q31_t) (((q63_t) gcurr * (*pk )) >> 31))));
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = clip_q63_to_q31(((q63_t) gcurr + ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
+
+ /* Output samples */
+ /* y(n) += gN(n) * vN */
+ acc += ((q63_t) gnext * *pv++);
+
+ /* write gN-1(n-1) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += ((q63_t) fnext * *pv++);
+
+ *px2++ = fnext;
+
+ /* write out into pDst */
+ *pDst++ = (q31_t) (acc >> 31U);
+
+ /* Advance the state pointer by 1 to process the next group of samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ tapCnt = numStages;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
new file mode 100644
index 0000000..4a86359
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
@@ -0,0 +1,533 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_f32.c
+ * Description: Processing function for the floating-point LMS filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LMS Least Mean Square (LMS) Filters
+
+ LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions.
+ LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal.
+ Adaptive filters are often used in communication systems, equalizers, and noise removal.
+ The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types.
+ The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.
+
+ An LMS filter consists of two components as shown below.
+ The first component is a standard transversal or FIR filter.
+ The second component is a coefficient update mechanism.
+ The LMS filter has two input signals.
+ The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.
+ That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.
+ The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.
+ This "error signal" tends towards zero as the filter adapts.
+ The LMS processing functions accept the input and reference input signals and generate the filter output and error signal.
+ \image html LMS.gif "Internal structure of the Least Mean Square filter"
+
+ The functions operate on blocks of data and each call to the function processes
+ blockSize samples through the filter.
+ pSrc points to input signal, pRef points to reference signal,
+ pOut points to output signal and pErr points to error signal.
+ All arrays contain blockSize values.
+
+ The functions operate on a block-by-block basis.
+ Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.
+ The convergence of the LMS filter is slower compared to the normalized LMS algorithm.
+
+ @par Algorithm
+ The output signal y[n] is computed by a standard FIR filter:
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ + @par + The error signal equals the difference between the reference signal
d[n] and the filter output:
+ + e[n] = d[n] - y[n]. ++ + @par + After each sample of the error signal is computed, the filter coefficients
b[k] are updated on a sample-by-sample basis:
+ + b[k] = b[k] + e[n] * mu * x[n-k], for k=0, 1, ..., numTaps-1 ++ where
mu is the step size and controls the rate of coefficient convergence.
+ @par
+ In the APIs, pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the order:
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.
+ The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,
+ to be avoided and yields a significant speed improvement.
+ The state variables are updated after each block of data is processed.
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter and
+ coefficient and state arrays cannot be shared among instances.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero.
+
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};
+ arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};
+ arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};
+
+ where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer; mu is the step size parameter; and postShift is the shift applied to coefficients.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the Q15 and Q31 versions of the LMS filter.
+ The following issues must be considered:
+ - Scaling of coefficients
+ - Overflow and saturation
+
+ @par Scaling of Coefficients
+ Filter coefficients are represented as fractional values and
+ coefficients are restricted to lie in the range [-1 +1).
+ The fixed-point functions have an additional scaling parameter postShift.
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ This essentially scales the filter coefficients by 2^postShift and
+ allows the filter coefficients to exceed the range [+1 -1).
+ The value of postShift is set by the user based on the expected gain through the system being modeled.
+
+ @par Overflow and Saturation
+ Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are
+ described separately as part of the function specific documentation below.
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point LMS filter.
+ @param[in] S points to an instance of the floating-point LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ float32_t sum, e, d; /* accumulator, error, reference data sample */
+ float32_t w = 0.0f; /* weight factor */
+
+ float32x4_t tempV, sumV, xV, bV;
+ float32x2_t tempV2;
+
+ e = 0.0f;
+ d = 0.0f;
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Set the accumulator to zero */
+ sum = 0.0f;
+ sumV = vdupq_n_f32(0.0);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ sumV = vmlaq_f32(sumV, xV, bV);
+
+ px += 4;
+ pb += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+ tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+ sum = vget_lane_f32(tempV2, 0) + vget_lane_f32(tempV2, 1);
+
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result in the accumulator, store in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Compute and store error */
+ d = (float32_t) (*pRef++);
+ e = d - sum;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for the updating filter coefficients */
+ w = e * mu;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ px += 4;
+ bV = vmlaq_n_f32(bV,xV,w);
+
+ vst1q_f32(pb,bV);
+ pb += 4;
+
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb = *pb + (w * (*px++));
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+
+ /* Processing is complete. Now copy the last numTaps - 1 samples to the
+ satrt of the state buffer. This prepares the state buffer for the
+ next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* Process 4 taps at a time for (numTaps - 1U) samples copy */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ tempV = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,tempV);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+ /* Copy the remaining q31_t data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+
+}
+#else
+void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ float32_t acc, e; /* Accumulator, error */
+ float32_t w; /* Weight factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+
+ /* Initializations of error, difference, Coefficient update */
+ e = 0.0f;
+ w = 0.0f;
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = acc;
+
+ /* Compute and store error */
+ e = (float32_t) *pRef++ - acc;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for updating filter coefficients */
+ w = e * mu;
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+ @} end of LMS group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
new file mode 100644
index 0000000..f418f46
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_init_f32.c
+ * Description: Floating-point LMS filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Initialization function for floating-point LMS filter.
+ @param[in] S points to an instance of the floating-point LMS filter structure
+ @param[in] numTaps number of filter coefficients
+ @param[in] pCoeffs points to coefficient buffer
+ @param[in] pState points to state buffer
+ @param[in] mu step size that controls filter coefficient updates
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_lms_f32().
+ */
+
+void arm_lms_init_f32(
+ arm_lms_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps */
+ memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
new file mode 100644
index 0000000..fe0a5c5
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_init_q15.c
+ * Description: Q15 LMS filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 LMS filter.
+ @param[in] S points to an instance of the Q15 LMS filter structure.
+ @param[in] numTaps number of filter coefficients.
+ @param[in] pCoeffs points to coefficient buffer.
+ @param[in] pState points to state buffer.
+ @param[in] mu step size that controls filter coefficient updates.
+ @param[in] blockSize number of samples to process.
+ @param[in] postShift bit shift applied to coefficients.
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to the array of state variables and size of array is
+ numTaps+blockSize-1 samples, where blockSize is the number of
+ input samples processed by each call to arm_lms_q15().
+ */
+
+void arm_lms_init_q15(
+ arm_lms_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint32_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Assign postShift value to be applied */
+ S->postShift = postShift;
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
new file mode 100644
index 0000000..3410b9f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_init_q31.c
+ * Description: Q31 LMS filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Initialization function for Q31 LMS filter.
+ @param[in] S points to an instance of the Q31 LMS filter structure
+ @param[in] numTaps number of filter coefficients
+ @param[in] pCoeffs points to coefficient buffer
+ @param[in] pState points to state buffer
+ @param[in] mu step size that controls filter coefficient updates
+ @param[in] blockSize number of samples to process
+ @param[in] postShift bit shift applied to coefficients
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples,
+ where blockSize is the number of input samples processed by each call to
+ arm_lms_q31().
+ */
+
+void arm_lms_init_q31(
+ arm_lms_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint32_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Assign postShift value to be applied */
+ S->postShift = postShift;
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
new file mode 100644
index 0000000..693d45f
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
@@ -0,0 +1,564 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_f32.c
+ * Description: Processing function for the floating-point NLMS filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LMS_NORM Normalized LMS Filters
+
+ This set of functions implements a commonly used adaptive filter.
+ It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization
+ factor which increases the adaptation rate of the filter.
+ The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.
+
+ A normalized least mean square (NLMS) filter consists of two components as shown below.
+ The first component is a standard transversal or FIR filter.
+ The second component is a coefficient update mechanism.
+ The NLMS filter has two input signals.
+ The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.
+ That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.
+ The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.
+ This "error signal" tends towards zero as the filter adapts.
+ The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal.
+ \image html LMS.gif "Internal structure of the NLMS adaptive filter"
+
+ The functions operate on blocks of data and each call to the function processes
+ blockSize samples through the filter.
+ pSrc points to input signal, pRef points to reference signal,
+ pOut points to output signal and pErr points to error signal.
+ All arrays contain blockSize values.
+
+ The functions operate on a block-by-block basis.
+ Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.
+ The convergence of the LMS filter is slower compared to the normalized LMS algorithm.
+
+ @par Algorithm
+ The output signal y[n] is computed by a standard FIR filter:
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ + @par + The error signal equals the difference between the reference signal
d[n] and the filter output:
+ + e[n] = d[n] - y[n]. ++ + @par + After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: +
+ E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2. ++ The filter coefficients
b[k] are then updated on a sample-by-sample basis:
+ + b[k] = b[k] + e[n] * (mu/E) * x[n-k], for k=0, 1, ..., numTaps-1 ++ where
mu is the step size and controls the rate of coefficient convergence.
+ @par
+ In the APIs, pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the order:
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.
+ The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,
+ to be avoided and yields a significant speed improvement.
+ The state variables are updated after each block of data is processed.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter and
+ coefficient and state arrays cannot be shared among instances.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero.
+ For Q7, Q15, and Q31 the following fields must also be initialized;
+ recipTable, postShift
+ @par
+ Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+ @par Fixed-Point Behavior
+ Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter.
+ The following issues must be considered:
+ - Scaling of coefficients
+ - Overflow and saturation
+
+ @par Scaling of Coefficients (fixed point versions)
+ Filter coefficients are represented as fractional values and
+ coefficients are restricted to lie in the range [-1 +1).
+ The fixed-point functions have an additional scaling parameter postShift.
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ This essentially scales the filter coefficients by 2^postShift and
+ allows the filter coefficients to exceed the range [+1 -1).
+ The value of postShift is set by the user based on the expected gain through the system being modeled.
+
+ @par Overflow and Saturation (fixed point versions)
+ Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are
+ described separately as part of the function specific documentation below.
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point normalized LMS filter.
+ @param[in] S points to an instance of the floating-point normalized LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ float32_t energy; /* Energy of the input */
+ float32_t sum, e, d; /* accumulator, error, reference data sample */
+ float32_t w, x0, in; /* weight factor, temporary variable to hold input sample and state */
+
+ float32x4_t tempV, sumV, xV, bV;
+ float32x2_t tempV2;
+
+ /* Initializations of error, difference, Coefficient update */
+ e = 0.0f;
+ d = 0.0f;
+ w = 0.0f;
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* Loop over blockSize number of values */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy -= x0 * x0;
+ energy += in * in;
+
+ /* Set the accumulator to zero */
+ sum = 0.0f;
+ sumV = vdupq_n_f32(0.0);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ sumV = vmlaq_f32(sumV, xV, bV);
+
+ px += 4;
+ pb += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+ tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+ sum = vget_lane_f32(tempV2, 0) + vget_lane_f32(tempV2, 1);
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result in the accumulator, store in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Compute and store error */
+ d = (float32_t) (*pRef++);
+ e = d - sum;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for updating filter coefficients */
+ /* epsilon value 0.000000119209289f */
+ w = (e * mu) / (energy + 0.000000119209289f);
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ px += 4;
+ bV = vmlaq_n_f32(bV,xV,w);
+
+ vst1q_f32(pb,bV);
+ pb += 4;
+
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ S->energy = energy;
+ S->x0 = x0;
+
+ /* Processing is complete. Now copy the last numTaps - 1 samples to the
+ satrt of the state buffer. This prepares the state buffer for the
+ next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* Process 4 taps at a time for (numTaps - 1U)/4 samples copy */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ tempV = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,tempV);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+ /* Copy the remaining q31_t data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#else
+void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ float32_t acc, e; /* Accumulator, error */
+ float32_t w; /* Weight factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ float32_t energy; /* Energy of the input */
+ float32_t x0, in; /* Temporary variable to hold input sample and state */
+
+ /* Initializations of error, difference, Coefficient update */
+ e = 0.0f;
+ w = 0.0f;
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy -= x0 * x0;
+ energy += in * in;
+
+ /* Set the accumulator to zero */
+ acc = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = acc;
+
+ /* Compute and store error */
+ e = (float32_t) *pRef++ - acc;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for updating filter coefficients */
+ /* epsilon value 0.000000119209289f */
+ w = (e * mu) / (energy + 0.000000119209289f);
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Save energy and x0 values for the next frame */
+ S->energy = energy;
+ S->x0 = x0;
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
new file mode 100644
index 0000000..543dc72
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_init_f32.c
+ * Description: Floating-point NLMS filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Initialization function for floating-point normalized LMS filter.
+ @param[in] S points to an instance of the floating-point LMS filter structure
+ @param[in] numTaps number of filter coefficients
+ @param[in] pCoeffs points to coefficient buffer
+ @param[in] pState points to state buffer
+ @param[in] mu step size that controls filter coefficient updates
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples,
+ where blockSize is the number of input samples processed by each call to arm_lms_norm_f32().
+ */
+
+void arm_lms_norm_init_f32(
+ arm_lms_norm_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Initialise Energy to zero */
+ S->energy = 0.0f;
+
+ /* Initialise x0 to zero */
+ S->x0 = 0.0f;
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
new file mode 100644
index 0000000..d581ac1
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
@@ -0,0 +1,98 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_init_q15.c
+ * Description: Q15 NLMS filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Initialization function for Q15 normalized LMS filter.
+ @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ @param[in] numTaps number of filter coefficients.
+ @param[in] pCoeffs points to coefficient buffer.
+ @param[in] pState points to state buffer.
+ @param[in] mu step size that controls filter coefficient updates.
+ @param[in] blockSize number of samples to process.
+ @param[in] postShift bit shift applied to coefficients.
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to the array of state variables and size of array is
+ numTaps+blockSize-1 samples, where blockSize is the number of input samples processed
+ by each call to arm_lms_norm_q15().
+ */
+
+void arm_lms_norm_init_q15(
+ arm_lms_norm_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint8_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign post Shift value applied to coefficients */
+ S->postShift = postShift;
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Initialize reciprocal pointer table */
+ S->recipTable = (q15_t *) armRecipTableQ15;
+
+ /* Initialise Energy to zero */
+ S->energy = 0;
+
+ /* Initialise x0 to zero */
+ S->x0 = 0;
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
new file mode 100644
index 0000000..30e78ec
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
@@ -0,0 +1,97 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_init_q31.c
+ * Description: Q31 NLMS filter initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Initialization function for Q31 normalized LMS filter.
+ @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ @param[in] numTaps number of filter coefficients.
+ @param[in] pCoeffs points to coefficient buffer.
+ @param[in] pState points to state buffer.
+ @param[in] mu step size that controls filter coefficient updates.
+ @param[in] blockSize number of samples to process.
+ @param[in] postShift bit shift applied to coefficients.
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples,
+ where blockSize is the number of input samples processed by each call to arm_lms_norm_q31().
+ */
+
+void arm_lms_norm_init_q31(
+ arm_lms_norm_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint8_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign post Shift value applied to coefficients */
+ S->postShift = postShift;
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Initialize reciprocal pointer table */
+ S->recipTable = (q31_t *) armRecipTableQ31;
+
+ /* Initialise Energy to zero */
+ S->energy = 0;
+
+ /* Initialise x0 to zero */
+ S->x0 = 0;
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
new file mode 100644
index 0000000..c15ad5e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
@@ -0,0 +1,297 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_q15.c
+ * Description: Processing function for Q15 normalized LMS filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 normalized LMS filter.
+ @param[in] S points to an instance of the Q15 normalized LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and
+ multiplications yield a 2.30 result. The 2.30 intermediate results are
+ accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full
+ precision of intermediate multiplications is preserved. After all additions
+ have been performed, the accumulator is truncated to 34.15 format by
+ discarding low 15 bits. Lastly, the accumulator is saturated to yield a
+ result in 1.15 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and the
+ updation of filter cofficients are saturted.
+ */
+
+void arm_lms_norm_q15(
+ arm_lms_norm_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q15_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q31_t energy; /* Energy of the input */
+ q15_t e = 0, d = 0; /* Error, reference data sample */
+ q15_t w = 0, in; /* Weight factor and state */
+ q15_t x0; /* Temporary variable to hold input sample */
+ q15_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */
+ q15_t postShift; /* Post shift to be applied to weight after reciprocal calculation */
+ q31_t coef; /* Temporary variable for coefficient */
+ q31_t acc_l, acc_h; /* Temporary input */
+ int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
+ int32_t uShift = (32 - lShift);
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy -= (((q31_t) x0 * (x0)) >> 15);
+ energy += (((q31_t) in * (in)) >> 15);
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Converting the result to 1.15 format and saturate the output */
+ acc = __SSAT(acc, 16U);
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q15_t) acc;
+
+ /* Compute and store error */
+ d = *pRef++;
+ e = d - (q15_t) acc;
+ *pErr++ = e;
+
+ /* Calculation of 1/energy */
+ postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, &oneByEnergy, S->recipTable);
+
+ /* Calculation of e * mu value */
+ errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
+
+ /* Calculation of (e * mu) * (1/energy) value */
+ acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
+
+ /* Weighting factor for the normalized version */
+ w = (q15_t) __SSAT((q31_t) acc, 16);
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Save energy and x0 values for the next frame */
+ S->energy = (q15_t) energy;
+ S->x0 = x0;
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
new file mode 100644
index 0000000..e26219e
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
@@ -0,0 +1,311 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_q31.c
+ * Description: Processing function for the Q31 NLMS filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Processing function for Q31 normalized LMS filter.
+ @param[in] S points to an instance of the Q31 normalized LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by
+ log2(numTaps) bits. The reference signal should not be scaled down.
+ After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+ and saturated to 1.31 format to yield the final result.
+ The output signal and error signal are in 1.31 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and the
+ updation of filter cofficients are saturted.
+ */
+
+void arm_lms_norm_q31(
+ arm_lms_norm_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q31_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q63_t energy; /* Energy of the input */
+ q31_t e = 0; /* Error data sample */
+ q31_t w = 0, in; /* Weight factor and state */
+ q31_t x0; /* Temporary variable to hold input sample */
+ q31_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */
+ q31_t postShift; /* Post shift to be applied to weight after reciprocal calculation */
+ q31_t coef; /* Temporary variable for coef */
+ q31_t acc_l, acc_h; /* Temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy = (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32);
+ energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-1] * x[n-N-1] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-2] * x[n-N-2] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-3] * x[n-N-3] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Converting the result to 1.31 format */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q31_t) acc;
+ *pErr++ = e;
+
+ /* Calculates the reciprocal of energy */
+ postShift = arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]);
+
+ /* Calculation of product of (e * mu) */
+ errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
+
+ /* Weighting factor for the normalized version */
+ w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+
+ /* coef is in 2.30 format */
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ /* get coef in 1.31 format by left shifting */
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ /* update coefficient buffer to next coefficient */
+ pb++;
+
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Read the sample from state buffer */
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Save energy and x0 values for the next frame */
+ S->energy = (q31_t) energy;
+ S->x0 = x0;
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
new file mode 100644
index 0000000..0fc9878
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
@@ -0,0 +1,262 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_q15.c
+ * Description: Processing function for Q15 LMS filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 LMS filter.
+ @param[in] S points to an instance of the Q15 LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and
+ the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q15(
+ const arm_lms_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q15_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q15_t e = 0; /* Error of data sample */
+ q15_t alpha; /* Intermediate constant for taps update */
+ q31_t coef; /* Temporary variable for coefficient */
+ q31_t acc_l, acc_h; /* Temporary input */
+ int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
+ int32_t uShift = (32 - lShift);
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Converting the result to 1.15 format and saturate the output */
+ acc = __SSAT(acc, 16U);
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q15_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q15_t) acc;
+ *pErr++ = (q15_t) e;
+
+ /* Compute alpha i.e. intermediate constant for taps update */
+ alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
new file mode 100644
index 0000000..b0c0e27
--- /dev/null
+++ b/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_q31.c
+ * Description: Processing function for the Q31 LMS filter
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Processing function for Q31 LMS filter.
+ @param[in] S points to an instance of the Q31 LMS filter structure.
+ @param[in] pSrc points to the block of input data.
+ @param[in] pRef points to the block of reference data.
+ @param[out] pOut points to the block of output data.
+ @param[out] pErr points to the block of error data.
+ @param[in] blockSize number of samples to process.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clips.
+ In order to avoid overflows completely the input signal must be scaled down by
+ log2(numTaps) bits.
+ The reference signal should not be scaled down.
+ After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+ and saturated to 1.31 format to yield the final result.
+ The output signal and error signal are in 1.31 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and
+ the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q31(
+ const arm_lms_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q31_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q31_t e = 0; /* Error of data sample */
+ q31_t alpha; /* Intermediate constant for taps update */
+ q31_t coef; /* Temporary variable for coef */
+ q31_t acc_l, acc_h; /* Temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-1] * x[n-N-1] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-2] * x[n-N-2] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-3] * x[n-N-3] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Converting the result to 1.31 format */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q31_t) acc;
+ *pErr++ = e;
+
+ /* Compute alpha i.e. intermediate constant for taps update */
+ alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+
+ /* coef is in 2.30 format */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ /* get coef in 1.31 format by left shifting */
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ /* update coefficient buffer to next coefficient */
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/CMakeLists.txt b/CMSIS/DSP/Source/MatrixFunctions/CMakeLists.txt
new file mode 100644
index 0000000..e8838b2
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/CMakeLists.txt
@@ -0,0 +1,19 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPMatrix)
+
+include(configLib)
+include(configDsp)
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPMatrix STATIC ${SRC})
+
+configLib(CMSISDSPMatrix ${ROOT})
+configDsp(CMSISDSPMatrix ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPMatrix PUBLIC "${DSP}/Include")
+
+
+
diff --git a/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c b/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c
new file mode 100644
index 0000000..da721fe
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c
@@ -0,0 +1,53 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: MatrixFunctions.c
+ * Description: Combination of all matrix function source files.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_mat_add_f32.c"
+#include "arm_mat_add_q15.c"
+#include "arm_mat_add_q31.c"
+#include "arm_mat_cmplx_mult_f32.c"
+#include "arm_mat_cmplx_mult_q15.c"
+#include "arm_mat_cmplx_mult_q31.c"
+#include "arm_mat_init_f32.c"
+#include "arm_mat_init_q15.c"
+#include "arm_mat_init_q31.c"
+#include "arm_mat_inverse_f32.c"
+#include "arm_mat_inverse_f64.c"
+#include "arm_mat_mult_f32.c"
+#include "arm_mat_mult_fast_q15.c"
+#include "arm_mat_mult_fast_q31.c"
+#include "arm_mat_mult_q15.c"
+#include "arm_mat_mult_q31.c"
+#include "arm_mat_scale_f32.c"
+#include "arm_mat_scale_q15.c"
+#include "arm_mat_scale_q31.c"
+#include "arm_mat_sub_f32.c"
+#include "arm_mat_sub_q15.c"
+#include "arm_mat_sub_q31.c"
+#include "arm_mat_trans_f32.c"
+#include "arm_mat_trans_q15.c"
+#include "arm_mat_trans_q31.c"
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c
new file mode 100644
index 0000000..008f299
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c
@@ -0,0 +1,304 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_add_f32.c
+ * Description: Floating-point matrix addition
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixAdd Matrix Addition
+
+ Adds two matrices.
+ \image html MatrixAddition.gif "Addition of two 3 x 3 matrices"
+
+ The functions check to make sure that
+ pSrcA, pSrcB, and pDst have the same
+ number of rows and columns.
+ */
+
+/**
+ @addtogroup MatrixAdd
+ @{
+ */
+
+
+/**
+ @brief Floating-point matrix addition.
+ @param[in] pSrcA points to first input matrix structure
+ @param[in] pSrcB points to second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ arm_status status;
+ uint32_t numSamples; /* total number of elements in the matrix */
+ float32_t *pDataA, *pDataB, *pDataDst;
+ f32x4_t vecA, vecB, vecDst;
+ float32_t const *pSrcAVec;
+ float32_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (float32_t const *) pDataA;
+ pSrcBVec = (float32_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vaddq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ vecDst = vaddq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ return (status);
+}
+#else
+#if defined(ARM_MATH_NEON)
+/*
+
+Neon version is assuming the matrix is small enough.
+So no blocking is used for taking into account cache effects.
+For big matrix, there exist better libraries for Neon.
+
+*/
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif
+ {
+ float32x4_t vec1;
+ float32x4_t vec2;
+ float32x4_t res;
+
+ /* Total number of samples in the input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+ blkCnt = numSamples >> 2U;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vec1 = vld1q_f32(pIn1);
+ vec2 = vld1q_f32(pIn2);
+ res = vaddq_f32(vec1, vec2);
+ vst1q_f32(pOut, res);
+
+ /* update pointers to process next samples */
+ pIn1 += 4U;
+ pIn2 += 4U;
+ pOut += 4U;
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ *pOut++ = (*pIn1++) + (*pIn2++);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add and store result in destination buffer. */
+ *pOut++ = *pInA++ + *pInB++;
+
+ *pOut++ = *pInA++ + *pInB++;
+
+ *pOut++ = *pInA++ + *pInB++;
+
+ *pOut++ = *pInA++ + *pInB++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add and store result in destination buffer. */
+ *pOut++ = *pInA++ + *pInB++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixAdd group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
new file mode 100644
index 0000000..7aab4b3
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
@@ -0,0 +1,227 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_add_q15.c
+ * Description: Q15 matrix addition
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixAdd
+ @{
+ */
+
+/**
+ @brief Q15 matrix addition.
+ @param[in] pSrcA points to first input matrix structure
+ @param[in] pSrcB points to second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI)
+
+arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q15_t *pDataA, *pDataB, *pDataDst;
+ q15x8_t vecA, vecB, vecDst;
+ q15_t const *pSrcAVec;
+ q15_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q15_t const *) pDataA;
+ pSrcBVec = (q15_t const *) pDataB;
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqaddq(vecA, vecB);
+ vst1q(pDataDst, vecDst); pDataDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqaddq_m(vecDst, vecA, vecB, p0);
+ vstrhq_p(pDataDst, vecDst, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+
+ write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++);
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixAdd group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
new file mode 100644
index 0000000..1ff3703
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
@@ -0,0 +1,216 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_add_q31.c
+ * Description: Q31 matrix addition
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixAdd
+ @{
+ */
+
+/**
+ @brief Q31 matrix addition.
+ @param[in] pSrcA points to first input matrix structure
+ @param[in] pSrcB points to second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI)
+arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ arm_status status; /* status of matrix addition */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q31_t *pDataA, *pDataB, *pDataDst;
+ q31x4_t vecA, vecB, vecDst;
+ q31_t const *pSrcAVec;
+ q31_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q31_t const *) pDataA;
+ pSrcBVec = (q31_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqaddq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqaddq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixAdd group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
new file mode 100644
index 0000000..1b79eab
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
@@ -0,0 +1,1409 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_mult_f32.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup CmplxMatrixMult Complex Matrix Multiplication
+
+ Complex Matrix multiplication is only defined if the number of columns of the
+ first matrix equals the number of rows of the second matrix.
+ Multiplying an M x N matrix with an N x P matrix results
+ in an M x P matrix.
+ @par
+ When matrix size checking is enabled, the functions check:
+ - that the inner dimensions of pSrcA and pSrcB are equal;
+ - that the size of the output matrix equals the outer dimensions of pSrcA and pSrcB.
+ */
+
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Floating-point Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_2x2_mve(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0;
+ float32_t *pInA0 = pInA;
+ float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2;
+ f32x4_t acc0, acc1;
+ f32x4_t vecB, vecA;
+
+ static const uint32_t offsetB0[4] = { 0, 1,
+ MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0);
+
+ pInB = (float32_t const *)pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc1[1] + acc1[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc1[1] + acc1[3];
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_3x3_mve(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ float32_t *pInA0 = pInA;
+ float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3;
+ float32_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3;
+ f32x4_t acc0, acc1, acc2;
+ f32x4_t vecB, vecA;
+ /* enable predication to disable upper half complex vector element */
+ mve_pred16_t p0 = vctp32q(CMPLX_DIM);
+
+ static const uint32_t offsetB0[4] = { 0, 1,
+ MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = { 2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1,
+ INACTIVELANE, INACTIVELANE
+ };
+
+ vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0);
+ vecColBOffs1 = vldrwq_u32((uint32_t const *) offsetB1);
+
+ pInB = (float32_t const *)pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3];
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_4x4_mve(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ float32_t *pInA0 = pInA;
+ float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4;
+ float32_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4;
+ float32_t *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4;
+ f32x4_t acc0, acc1, acc2, acc3;
+ f32x4_t vecB, vecA;
+
+ static const uint32_t offsetB0[4] = { 0, 1,
+ MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = { 2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1,
+ 3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0);
+ vecColBOffs1 = vldrwq_u32((uint32_t const *) offsetB1);
+
+ pInB = (float32_t const *)pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = (float32_t const *) pSrcB->pData; /* input data matrix pointer B */
+ float32_t const *pInA = (float32_t const *) pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint32x4_t vecOffs, vecColBOffs;
+ uint32_t blkCnt, rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * small squared matrix specialized routines
+ */
+ if (numRowsA == numColsB && numColsB == numColsA)
+ {
+ if (numRowsA == 1)
+ {
+ pOut[0] = pInA[0] * pInB[0] - pInA[1] * pInB[1];
+ pOut[1] = pInA[0] * pInB[1] + pInA[1] * pInB[0];
+ return (ARM_MATH_SUCCESS);
+ }
+ else if (numRowsA == 2)
+ return arm_mat_cmplx_mult_f32_2x2_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 3)
+ return arm_mat_cmplx_mult_f32_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_cmplx_mult_f32_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 2;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + 4 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (float32_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec;
+ float32_t const *pInA0 = pInA;
+ float32_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM;
+ float32_t const *pInA2 = pInA1 + numColsA * CMPLX_DIM;
+ float32_t const *pInA3 = pInA2 + numColsA * CMPLX_DIM;
+ f32x4_t acc0, acc1, acc2, acc3;
+
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ acc2 = vdupq_n_f32(0.0f);
+ acc3 = vdupq_n_f32(0.0f);
+
+ pSrcA0Vec = (float32_t const *) pInA0;
+ pSrcA1Vec = (float32_t const *) pInA1;
+ pSrcA2Vec = (float32_t const *) pInA2;
+ pSrcA3Vec = (float32_t const *) pInA3;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 4 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4;
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4;
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4;
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ }
+
+ px[0 * CMPLX_DIM * numColsB + 0] = acc0[0] + acc0[2];
+ px[0 * CMPLX_DIM * numColsB + 1] = acc0[1] + acc0[3];
+ px[1 * CMPLX_DIM * numColsB + 0] = acc1[0] + acc1[2];
+ px[1 * CMPLX_DIM * numColsB + 1] = acc1[1] + acc1[3];
+ px[2 * CMPLX_DIM * numColsB + 0] = acc2[0] + acc2[2];
+ px[2 * CMPLX_DIM * numColsB + 1] = acc2[1] + acc2[3];
+ px[3 * CMPLX_DIM * numColsB + 0] = acc3[0] + acc3[2];
+ px[3 * CMPLX_DIM * numColsB + 1] = acc3[1] + acc3[3];
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (float32_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 4) * CMPLX_DIM;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+
+ rowCnt = row & 3;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (float32_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ float32_t const *pSrcA0Vec;
+ float32_t const *pInA0 = pInA;
+ f32x4_t acc0;
+
+ acc0 = vdupq_n_f32(0.0f);
+
+ pSrcA0Vec = (float32_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 4 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ }
+
+ px[0] = acc0[0] + acc0[2];
+ px[1] = acc0[1] + acc0[3];
+
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (float32_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA * CMPLX_DIM;
+ rowCnt--;
+ }
+
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ float32_t sumReal1, sumImag1; /* accumulator */
+ float32_t a1, a1B,b1, b1B, c1, d1;
+ float32_t sumReal2, sumImag2; /* accumulator */
+
+
+ float32x4x2_t a0V, a1V;
+ float32x4_t accR0,accI0, accR1,accI1,tempR, tempI;
+ float32x2_t accum = vdup_n_f32(0);
+ float32_t *pIn1B = pSrcA->pData;
+
+ uint16_t col, i = 0U, j, rowCnt, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ float32_t sumReal1B, sumImag1B;
+ float32_t sumReal2B, sumImag2B;
+ float32_t *pxB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+
+ rowCnt = row >> 1;
+
+ /* Row loop */
+ while (rowCnt > 0U)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+ pxB = px + 2 * numColsB;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ while (col > 0U)
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal1 = 0.0f;
+ sumImag1 = 0.0f;
+ sumReal1B = 0.0f;
+ sumImag1B = 0.0f;
+
+ sumReal2 = 0.0f;
+ sumImag2 = 0.0f;
+ sumReal2B = 0.0f;
+ sumImag2B = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+ pIn1B = pIn1 + 2*numColsA;
+
+ accR0 = vdupq_n_f32(0.0);
+ accI0 = vdupq_n_f32(0.0);
+ accR1 = vdupq_n_f32(0.0);
+ accI1 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* Reading real part of complex matrix A */
+ a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
+ a1V = vld2q_f32(pIn1B); // load & separate real/imag pSrcA (de-interleave 2)
+
+ pIn1 += 8;
+ pIn1B += 8;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,0);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,0);
+ pIn2 += 2 * numColsB;
+
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,1);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,1);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,2);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,2);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,3);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,3);
+ pIn2 += 2 * numColsB;
+
+ accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
+ accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
+
+ accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
+ accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
+
+ accR1 = vmlaq_f32(accR1,a1V.val[0],tempR);
+ accR1 = vmlsq_f32(accR1,a1V.val[1],tempI);
+
+ accI1 = vmlaq_f32(accI1,a1V.val[1],tempR);
+ accI1 = vmlaq_f32(accI1,a1V.val[0],tempI);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
+ sumReal1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
+ sumImag1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accR1), vget_high_f32(accR1));
+ sumReal1B += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI1), vget_high_f32(accI1));
+ sumImag1B += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA & 3;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a1 = *pIn1;
+ a1B = *pIn1B;
+
+ c1 = *pIn2;
+
+ b1 = *(pIn1 + 1U);
+ b1B = *(pIn1B + 1U);
+
+ d1 = *(pIn2 + 1U);
+
+ sumReal1 += a1 * c1;
+ sumImag1 += b1 * c1;
+
+ sumReal1B += a1B * c1;
+ sumImag1B += b1B * c1;
+
+ pIn1 += 2U;
+ pIn1B += 2U;
+ pIn2 += 2 * numColsB;
+
+ sumReal2 -= b1 * d1;
+ sumImag2 += a1 * d1;
+
+ sumReal2B -= b1B * d1;
+ sumImag2B += a1B * d1;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ sumReal1 += sumReal2;
+ sumImag1 += sumImag2;
+
+ sumReal1B += sumReal2B;
+ sumImag1B += sumImag2B;
+
+ /* Store the result in the destination buffer */
+ *px++ = sumReal1;
+ *px++ = sumImag1;
+ *pxB++ = sumReal1B;
+ *pxB++ = sumImag1B;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+
+ /* Update the pointer pInA to point to the starting address of the next 2 row */
+ i = i + 2*numColsB;
+ pInA = pInA + 4 * numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+ }
+
+ rowCnt = row & 1;
+ while (rowCnt > 0U)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ while (col > 0U)
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal1 = 0.0f;
+ sumImag1 = 0.0f;
+
+ sumReal2 = 0.0f;
+ sumImag2 = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+
+ accR0 = vdupq_n_f32(0.0);
+ accI0 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* Reading real part of complex matrix A */
+ a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
+ pIn1 += 8;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,0);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,0);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,1);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,1);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,2);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,2);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,3);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,3);
+ pIn2 += 2 * numColsB;
+
+ accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
+ accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
+
+ accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
+ accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
+ sumReal1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
+ sumImag1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA & 3;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a1 = *pIn1;
+ c1 = *pIn2;
+
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ sumReal1 += a1 * c1;
+ sumImag1 += b1 * c1;
+
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ sumReal2 -= b1 * d1;
+ sumImag2 += a1 * d1;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ sumReal1 += sumReal2;
+ sumImag1 += sumImag2;
+
+ /* Store the result in the destination buffer */
+ *px++ = sumReal1;
+ *px++ = sumImag1;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement the column loop counter */
+ col--;
+
+ }
+
+ /* Update the pointer pInA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ float32_t sumReal, sumImag; /* Accumulator */
+ float32_t a1, b1, c1, d1;
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal = 0.0f;
+ sumImag = 0.0f;
+
+ /* Initiate pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+
+ /* Reading real part of complex matrix A */
+ a0 = *pIn1;
+
+ /* Reading real part of complex matrix B */
+ c0 = *pIn2;
+
+ /* Reading imaginary part of complex matrix A */
+ b0 = *(pIn1 + 1U);
+
+ /* Reading imaginary part of complex matrix B */
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a0 * c0;
+ sumImag += b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b0 * d0;
+ sumImag += a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ a0 = *(pIn1 );
+ c0 = *(pIn2 );
+ b0 = *(pIn1 + 1U);
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a0 * c0;
+ sumImag += b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b0 * d0;
+ sumImag += a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ /* Decrement loop count */
+ colCnt--;
+ }
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sumReal;
+ *px++ = sumImag;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
new file mode 100644
index 0000000..827151e
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
@@ -0,0 +1,595 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mat_mult_q15.c
+ * Description: Q15 complex matrix multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Q15 Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @param[in] pScratch points to an array for storing intermediate results
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Conditions for optimum performance
+ Input, output and state buffers should be aligned by 32-bit
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator. The inputs to the
+ multiplications are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then
+ truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch)
+{
+ q15_t const *pInA = (q15_t const *) pSrcA->pData; /* input data matrix pointer A of Q15 type */
+ q15_t const *pInB = (q15_t const *) pSrcB->pData; /* input data matrix pointer B of Q15 type */
+ q15_t const *pInB2;
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ uint16x8_t vecOffs, vecColBOffs;
+ arm_status status; /* Status of matrix multiplication */
+ (void)pScratch;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+ vecColBOffs[4] = 2 * numColsB * CMPLX_DIM;
+ vecColBOffs[5] = 2 * (numColsB * CMPLX_DIM) + 1;
+ vecColBOffs[6] = 3 * numColsB * CMPLX_DIM;
+ vecColBOffs[7] = 3 * (numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * Reset the variables for the usage in the following multiplication process
+ */
+ i = 0;
+ row = numRowsA;
+ px = pDst->pData;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ while (row > 0u)
+ {
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB >> 1;
+ j = 0;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ q15_t const *pSrcAVec;
+ //, *pSrcBVec, *pSrcB2Vec;
+ q15x8_t vecA, vecB, vecB2;
+ q63_t acc0, acc1, acc2, acc3;
+
+ /*
+ * Initiate the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pInA = pSrcA->pData + i;
+ pInB = pSrcB->pData + j;
+ pInB2 = pInB + CMPLX_DIM;
+
+ j += 2 * CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+
+ /*
+ * Initiate the pointers
+ * - current Matrix A rows
+ * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB)
+ */
+ pSrcAVec = (q15_t const *) pInA;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ vecOffs = vecColBOffs;
+
+
+ blkCnt = (numColsA * CMPLX_DIM) >> 3;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+ vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ acc2 = vmlsldavaq(acc2, vecA, vecB2);
+ acc3 = vmlaldavaxq(acc3, vecA, vecB2);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+
+ vecA = vldrhq_z_s16(pSrcAVec, p0);
+
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+ vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs);
+
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ acc2 = vmlsldavaq(acc2, vecA, vecB2);
+ acc3 = vmlaldavaxq(acc3, vecA, vecB2);
+
+ }
+ /*
+ * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer
+ */
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc2, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc3, 15);
+ }
+
+ col = numColsB & 1;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+
+ q15_t const *pSrcAVec;
+ //, *pSrcBVec, *pSrcB2Vec;
+ q15x8_t vecA, vecB;
+ q63_t acc0, acc1;
+
+ /*
+ * Initiate the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pInA = pSrcA->pData + i;
+ pInB = pSrcB->pData + j;
+
+ j += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+
+ /*
+ * Initiate the pointers
+ * - current Matrix A rows
+ * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB)
+ */
+ pSrcAVec = (q15_t const *) pInA;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+
+ vecOffs = vecColBOffs;
+
+
+
+ blkCnt = (numColsA * CMPLX_DIM) >> 3;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+ vecA = vldrhq_z_s16(pSrcAVec, p0);
+
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+ }
+ /*
+ * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer
+ */
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15);
+
+ }
+
+ i = i + numColsA * CMPLX_DIM;
+
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch)
+{
+ q15_t *pSrcBT = pScratch; /* input data matrix pointer for transpose */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ q63_t sumReal, sumImag; /* accumulator */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+ q31_t prod1, prod2;
+ q31_t pSourceA, pSourceB;
+#else
+ q15_t a, b, c, d;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose */
+ do
+ {
+ /* The pointer px is set to starting address of column being processed */
+ px = pSrcBT + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and exchange the columns with row elements */
+ col = numColsB >> 2;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ a second loop below computes the remaining 1 to 3 samples. */
+ while (col > 0U)
+ {
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ col = numColsB % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ col = numColsB;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i = i + 2U;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+ pInB = pSrcBT;
+
+ /* column loop */
+ do
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sumReal = 0;
+ sumImag = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i * 2;
+
+ /* Apply loop unrolling and compute 2 MACs simultaneously. */
+ colCnt = numColsA >> 1U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA = read_q15x2_ia ((q15_t **) &pInA);
+ pSourceB = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+ prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+ prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+ prod2 = __SMUADX(pSourceA, pSourceB);
+ sumReal += (q63_t) prod1;
+ sumImag += (q63_t) prod2;
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA = read_q15x2_ia ((q15_t **) &pInA);
+ pSourceB = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+ prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+ prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+ prod2 = __SMUADX(pSourceA, pSourceB);
+ sumReal += (q63_t) prod1;
+ sumImag += (q63_t) prod2;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* read real and imag values from pSrcA buffer */
+ a = *pInA;
+ b = *(pInA + 1U);
+ /* read real and imag values from pSrcB buffer */
+ c = *pInB;
+ d = *(pInB + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q31_t) a *c;
+ sumImag += (q31_t) a *d;
+ sumReal -= (q31_t) b *d;
+ sumImag += (q31_t) b *c;
+
+ /* read next real and imag values from pSrcA buffer */
+ a = *(pInA + 2U);
+ b = *(pInA + 3U);
+ /* read next real and imag values from pSrcB buffer */
+ c = *(pInB + 2U);
+ d = *(pInB + 3U);
+
+ /* update pointer */
+ pInA += 4U;
+
+ /* Multiply and Accumlates */
+ sumReal += (q31_t) a * c;
+ sumImag += (q31_t) a * d;
+ sumReal -= (q31_t) b * d;
+ sumImag += (q31_t) b * c;
+ /* update pointer */
+ pInB += 4U;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process odd column samples */
+ if ((numColsA & 0x1U) > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA = read_q15x2_ia ((q15_t **) &pInA);
+ pSourceB = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+ prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+ prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+ prod2 = __SMUADX(pSourceA, pSourceB);
+ sumReal += (q63_t) prod1;
+ sumImag += (q63_t) prod2;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a = *pInA++;
+ b = *pInA++;
+ c = *pInB++;
+ d = *pInB++;
+
+ /* Multiply and Accumlates */
+ sumReal += (q31_t) a * c;
+ sumImag += (q31_t) a * d;
+ sumReal -= (q31_t) b * d;
+ sumImag += (q31_t) b * c;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ }
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) (__SSAT(sumReal >> 15, 16));
+ *px++ = (q15_t) (__SSAT(sumImag >> 15, 16));
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ i = i + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
new file mode 100644
index 0000000..510ea9f
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
@@ -0,0 +1,1063 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_mult_q31.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit. There is no saturation
+ on intermediate additions. Thus, if the accumulator overflows it wraps around and
+ distorts the result. The input signals should be scaled down to avoid intermediate
+ overflows. The input is thus scaled down by log2(numColsA) bits
+ to avoid overflows, as a total of numColsA additions are performed internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_2x2_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecA;
+
+ static const uint32_t offsetB0[4] = {
+ 0, 1,
+ MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32(offsetB0);
+
+ pInB = (q31_t const *) pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31);
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ pOut += CMPLX_DIM;
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_3x3_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3;
+ q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecB1, vecA;
+ /*
+ * enable predication to disable upper half complex vector element
+ */
+ mve_pred16_t p0 = vctp32q(CMPLX_DIM);
+
+ static const uint32_t offsetB0[4] = {
+ 0, 1,
+ MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = {
+ 2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1,
+ INACTIVELANE, INACTIVELANE
+ };
+
+ vecColBOffs0 = vldrwq_u32(offsetB0);
+ vecColBOffs1 = vldrwq_u32(offsetB1);
+
+ pInB = (q31_t const *) pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA0[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_z_s32(&pInA1[4], p0);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA2[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA0[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_z_s32(&pInA1[4], p0);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA2[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA0[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_z_s32(&pInA1[4], p0);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA2[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_4x4_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4;
+ q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4;
+ q31_t const *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecB1, vecA;
+
+ static const uint32_t offsetB0[4] = {
+ 0, 1,
+ MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = {
+ 2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1,
+ 3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32(offsetB0);
+ vecColBOffs1 = vldrwq_u32(offsetB1);
+
+ pInB = (q31_t const *) pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = (q31_t const *) pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = (q31_t const *) pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint32x4_t vecOffs, vecColBOffs;
+ uint32_t blkCnt, rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * small squared matrix specialized routines
+ */
+ if (numRowsA == numColsB && numColsB == numColsA)
+ {
+ if (numRowsA == 1)
+ {
+ q63_t sumReal = (q63_t) pInA[0] * pInB[0];
+ sumReal -= (q63_t) pInA[1] * pInB[1];
+
+ q63_t sumImag = (q63_t) pInA[0] * pInB[1];
+ sumImag += (q63_t) pInA[1] * pInB[0];
+
+ /* Store result in destination buffer */
+ pOut[0] = (q31_t) clip_q63_to_q31(sumReal >> 31);
+ pOut[1] = (q31_t) clip_q63_to_q31(sumImag >> 31);
+ return (ARM_MATH_SUCCESS);
+ }
+ else if (numRowsA == 2)
+ return arm_mat_cmplx_mult_q31_2x2_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 3)
+ return arm_mat_cmplx_mult_q31_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_cmplx_mult_q31_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 1;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + 2 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ q31_t const *pSrcA0Vec, *pSrcA1Vec;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM;
+ q63_t acc0, acc1, acc2, acc3;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+ pSrcA1Vec = (q31_t const *) pInA1;
+
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 2 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+
+ vecA = vld1q(pSrcA1Vec);
+ pSrcA1Vec += 4;
+
+ acc2 = vmlsldavaq(acc2, vecA, vecB);
+ acc3 = vmlaldavaxq(acc3, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec);
+ acc2 = vmlsldavaq(acc2, vecA, vecB);
+ acc3 = vmlaldavaxq(acc3, vecA, vecB);
+
+
+ }
+
+ px[0 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc0 >> 31);
+ px[0 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc1 >> 31);
+ px[1 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc2 >> 31);
+ px[1 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc3 >> 31);
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 2) * CMPLX_DIM;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+
+ rowCnt = row & 1;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ q31_t const *pSrcA0Vec;
+ q31_t const *pInA0 = pInA;
+ q63_t acc0,acc1;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 2 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+
+
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+
+ }
+
+ px[0] = (q31_t) clip_q63_to_q31(acc0 >> 31);
+ px[1] = (q31_t) clip_q63_to_q31(acc1 >> 31);
+
+
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA * CMPLX_DIM;
+ rowCnt--;
+ }
+
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ q63_t sumReal, sumImag; /* Accumulator */
+ q31_t a1, b1, c1, d1;
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal = 0.0;
+ sumImag = 0.0;
+
+ /* Initiate pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+
+ /* Reading real part of complex matrix A */
+ a0 = *pIn1;
+
+ /* Reading real part of complex matrix B */
+ c0 = *pIn2;
+
+ /* Reading imaginary part of complex matrix A */
+ b0 = *(pIn1 + 1U);
+
+ /* Reading imaginary part of complex matrix B */
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a0 * c0;
+ sumImag += (q63_t) b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b0 * d0;
+ sumImag += (q63_t) a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ a0 = *(pIn1 );
+ c0 = *(pIn2 );
+ b0 = *(pIn1 + 1U);
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a0 * c0;
+ sumImag += (q63_t) b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b0 * d0;
+ sumImag += (q63_t) a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ /* Decrement loop count */
+ colCnt--;
+ }
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = (q31_t) clip_q63_to_q31(sumReal >> 31);
+ *px++ = (q31_t) clip_q63_to_q31(sumImag >> 31);
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
new file mode 100644
index 0000000..ce02a25
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
@@ -0,0 +1,76 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_f32.c
+ * Description: Floating-point matrix initialization
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixInit Matrix Initialization
+
+ Initializes the underlying matrix data structure.
+ The functions set the numRows,
+ numCols, and pData fields
+ of the matrix data structure.
+ */
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Floating-point matrix initialization.
+ @param[in,out] S points to an instance of the floating-point matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_f32(
+ arm_matrix_instance_f32 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float32_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
new file mode 100644
index 0000000..0275503
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
@@ -0,0 +1,67 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_q15.c
+ * Description: Q15 matrix initialization
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Q15 matrix initialization.
+ @param[in,out] S points to an instance of the floating-point matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_q15(
+ arm_matrix_instance_q15 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q15_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
new file mode 100644
index 0000000..d5c5722
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
@@ -0,0 +1,72 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_q31.c
+ * Description: Q31 matrix initialization
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixInit Matrix Initialization
+
+ */
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Q31 matrix initialization.
+ @param[in,out] S points to an instance of the Q31 matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_q31(
+ arm_matrix_instance_q31 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q31_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
new file mode 100644
index 0000000..ac51945
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
@@ -0,0 +1,1589 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_inverse_f32.c
+ * Description: Floating-point matrix inverse
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixInv Matrix Inverse
+
+ Computes the inverse of a matrix.
+
+ The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero).
+ The function checks that the input and output matrices are square and of the same size.
+
+ Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix
+ inversion of floating-point matrices.
+
+ @par Algorithm
+ The Gauss-Jordan method is used to find the inverse.
+ The algorithm performs a sequence of elementary row-operations until it
+ reduces the input matrix to an identity matrix. Applying the same sequence
+ of elementary row-operations to an identity matrix yields the inverse matrix.
+ If the input matrix is singular, then the algorithm terminates and returns error status
+ ARM_MATH_SINGULAR.
+ \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"
+ */
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ @brief Floating-point matrix inverse.
+ @param[in] pSrc points to input matrix structure. The source matrix is modified by the function.
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible)
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+ float32_t *pTmpA, *pTmpB;
+
+ float32_t in = 0.0f; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+ uint32_t blkCnt;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+ || (pSrc->numRows != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /*
+ * Working pointer for destination matrix
+ */
+ pOutT1 = pOut;
+ /*
+ * Loop over the number of rows
+ */
+ rowCnt = numRows;
+ /*
+ * Making the destination matrix as identity matrix
+ */
+ while (rowCnt > 0U)
+ {
+ /*
+ * Writing all zeroes in lower triangle of the destination matrix
+ */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+ /*
+ * Writing all ones in the diagonal of the destination matrix
+ */
+ *pOutT1++ = 1.0f;
+ /*
+ * Writing all zeroes in upper triangle of the destination matrix
+ */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+ /*
+ * Decrement the loop counter
+ */
+ rowCnt--;
+ }
+
+ /*
+ * Loop over the number of columns of the input matrix.
+ * All the elements in each column are processed by the row operations
+ */
+ loopCnt = numCols;
+ /*
+ * Index modifier to navigate through the columns
+ */
+ l = 0U;
+ while (loopCnt > 0U)
+ {
+ /*
+ * Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular.
+ */
+
+ /*
+ * Working pointer for the input matrix that points
+ * * to the pivot element of the particular row
+ */
+ pInT1 = pIn + (l * numCols);
+ /*
+ * Working pointer for the destination matrix that points
+ * * to the pivot element of the particular row
+ */
+ pOutT1 = pOut + (l * numCols);
+ /*
+ * Temporary variable to hold the pivot value
+ */
+ in = *pInT1;
+ /*
+ * Destination pointer modifier
+ */
+ k = 1U;
+
+ /*
+ * Check if the pivot element is zero
+ */
+ if (*pInT1 == 0.0f)
+ {
+ /*
+ * Loop over the number rows present below
+ */
+ for (i = (l + 1U); i < numRows; i++)
+ {
+ /*
+ * Update the input and destination pointers
+ */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * k);
+ /*
+ * Check if there is a non zero pivot element to
+ * * replace in the rows below
+ */
+ if (*pInT2 != 0.0f)
+ {
+ f32x4_t vecA, vecB;
+ /*
+ * Loop over number of columns
+ * * to the right of the pilot element
+ */
+ pTmpA = pInT1;
+ pTmpB = pInT2;
+ blkCnt = (numCols - l) >> 2;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_f32(pTmpB, vecA);
+ vstrwq_f32(pTmpA, vecB);
+
+ pTmpA += 4;
+ pTmpB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numCols - l) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_p_f32(pTmpB, vecA, p0);
+ vstrwq_p_f32(pTmpA, vecB, p0);
+ }
+
+ pInT1 += numCols - l;
+ pInT2 += numCols - l;
+ pTmpA = pOutT1;
+ pTmpB = pOutT2;
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_f32(pTmpB, vecA);
+ vstrwq_f32(pTmpA, vecB);
+ pTmpA += 4;
+ pTmpB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_p_f32(pTmpB, vecA, p0);
+ vstrwq_p_f32(pTmpA, vecB, p0);
+ }
+
+ pOutT1 += numCols;
+ pOutT2 += numCols;
+ /*
+ * Flag to indicate whether exchange is done or not
+ */
+ flag = 1U;
+
+ /*
+ * Break after exchange is done
+ */
+ break;
+ }
+ /*
+ * Update the destination pointer modifier
+ */
+ k++;
+ }
+ }
+
+ /*
+ * Update the status if the matrix is singular
+ */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /*
+ * Points to the pivot row of input and destination matrices
+ */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /*
+ * Temporary pointers to the pivot row pointers
+ */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /*
+ * Pivot element of the row
+ */
+ in = *(pIn + (l * numCols));
+
+ pTmpA = pInT1;
+
+ f32x4_t invIn = vdupq_n_f32(1.0f / in);
+
+ blkCnt = (numCols - l) >> 2;
+ f32x4_t vecA;
+ while (blkCnt > 0U)
+ {
+ *(f32x4_t *) pTmpA = *(f32x4_t *) pTmpA * invIn;
+ pTmpA += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = (numCols - l) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+
+ vecA = vldrwq_f32(pTmpA);
+ vecA = vecA * invIn;
+ vstrwq_p_f32(pTmpA, vecA, p0);
+ }
+
+ pInT1 += numCols - l;
+ /*
+ * Loop over number of columns
+ * * to the right of the pilot element
+ */
+
+ pTmpA = pOutT1;
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ *(f32x4_t *) pTmpA = *(f32x4_t *) pTmpA *invIn;
+ pTmpA += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecA = vldrwq_f32(pTmpA);
+ vecA = vecA * invIn;
+ vstrwq_p_f32(pTmpA, vecA, p0);
+ }
+
+ pOutT1 += numCols;
+
+ /*
+ * Replace the rows with the sum of that row and a multiple of row i
+ * * so that each new element in column i above row i is zero.
+ */
+
+ /*
+ * Temporary pointers for input and destination matrices
+ */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /*
+ * Check for the pivot element
+ */
+ if (i == l)
+ {
+ /*
+ * If the processing element is the pivot element,
+ * only the columns to the right are to be processed
+ */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /*
+ * Element of the reference row
+ */
+
+ /*
+ * Working pointers for input and destination pivot rows
+ */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+ /*
+ * Loop over the number of columns to the right of the pivot element,
+ * to replace the elements in the input matrix
+ */
+
+ in = *pInT1;
+ f32x4_t tmpV = vdupq_n_f32(in);
+
+ blkCnt = (numCols - l) >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+ /*
+ * Replace the element by the sum of that row
+ * and a multiple of the reference row
+ */
+ vec1 = vldrwq_f32(pInT1);
+ vec2 = vldrwq_f32(pPRT_in);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_f32(pInT1, vec1);
+ pPRT_in += 4;
+ pInT1 += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numCols - l) & 3;
+ if (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vec1 = vldrwq_f32(pInT1);
+ vec2 = vldrwq_f32(pPRT_in);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_p_f32(pInT1, vec1, p0);
+ pInT1 += blkCnt;
+ }
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+
+ /*
+ * Replace the element by the sum of that row
+ * and a multiple of the reference row
+ */
+ vec1 = vldrwq_f32(pOutT1);
+ vec2 = vldrwq_f32(pPRT_pDst);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_f32(pOutT1, vec1);
+ pPRT_pDst += 4;
+ pOutT1 += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vec1 = vldrwq_f32(pOutT1);
+ vec2 = vldrwq_f32(pPRT_pDst);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_p_f32(pOutT1, vec1, p0);
+
+ pInT2 += blkCnt;
+ pOutT1 += blkCnt;
+ }
+ }
+ /*
+ * Increment the temporary input pointer
+ */
+ pInT1 = pInT1 + l;
+ }
+ /*
+ * Increment the input pointer
+ */
+ pIn++;
+ /*
+ * Decrement the loop counter
+ */
+ loopCnt--;
+ /*
+ * Increment the index modifier
+ */
+ l++;
+ }
+
+ /*
+ * Set status as ARM_MATH_SUCCESS
+ */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0f)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+
+ float32_t Xchg, in = 0.0f, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+ float32x4_t vec1;
+ float32x4_t vec2;
+ float32x4_t tmpV;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+ || (pSrc->numRows != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Decrement the loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+
+ /* Destination pointer modifier */
+ k = 1U;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0f)
+ {
+ /* Loop over the number rows present below */
+ for (i = (l + 1U); i < numRows; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * k);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0f)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+ /* Update the destination pointer modifier */
+ k++;
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+ tmpV = vdupq_n_f32(1.0f/in);
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l) >> 2;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ vec1 = vld1q_f32(pInT1);
+
+ vec1 = vmulq_f32(vec1, tmpV);
+ vst1q_f32(pInT1, vec1);
+ pInT1 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = (numCols - l) & 3;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols >> 2;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ vec1 = vld1q_f32(pInT2);
+
+ vec1 = vmulq_f32(vec1, tmpV);
+ vst1q_f32(pInT2, vec1);
+ pInT2 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = numCols & 3;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+ tmpV = vdupq_n_f32(in);
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l) >> 2;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ vec1 = vld1q_f32(pInT1);
+ vec2 = vld1q_f32(pPRT_in);
+ vec1 = vmlsq_f32(vec1, tmpV, vec2);
+ vst1q_f32(pInT1, vec1);
+ pPRT_in += 4;
+ pInT1 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = (numCols - l) & 3;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = in1 - (in * *pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols >> 2;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ vec1 = vld1q_f32(pInT2);
+ vec2 = vld1q_f32(pPRT_pDst);
+ vec1 = vmlsq_f32(vec1, tmpV, vec2);
+ vst1q_f32(pInT2, vec1);
+ pPRT_pDst += 4;
+ pInT2 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = numCols & 3;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment the temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement the loop counter */
+ k--;
+
+ /* Increment the pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0f)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+#if defined (ARM_MATH_DSP)
+
+ float32_t Xchg, in = 0.0f, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+
+ /* Destination pointer modifier */
+ k = 1U;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0f)
+ {
+ /* Loop over the number rows present below */
+
+ for (i = (l + 1U); i < numRows; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * k);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0f)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+ /* Update the destination pointer modifier */
+ k++;
+
+ /* Decrement loop counter */
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = in1 - (in * *pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement loop counter */
+ k--;
+
+ /* Increment pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+
+#else
+
+ float32_t Xchg, in = 0.0f; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+ /* Destination pointer modifier */
+ k = 1U;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0f)
+ {
+ /* Loop over the number rows present below */
+ for (i = (l + 1U); i < numRows; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * k);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0f)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+ }
+
+ for (j = 0U; j < numCols; j++)
+ {
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+ /* Update the destination pointer modifier */
+ k++;
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *(pIn + (l * numCols));
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ *pInT1 = *pInT1 / in;
+ pInT1++;
+ }
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ *pOutT1 = *pOutT1 / in;
+ pOutT1++;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pInT1 = *pInT1 - (in * *pPRT_in++);
+ pInT1++;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+ pOutT1++;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0f)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
new file mode 100644
index 0000000..b9b9309
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
@@ -0,0 +1,652 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_inverse_f64.c
+ * Description: Floating-point matrix inverse
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ @brief Floating-point (64 bit) matrix inverse.
+ @param[in] pSrc points to input matrix structure. The source matrix is modified by the function.
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible)
+ */
+
+arm_status arm_mat_inverse_f64(
+ const arm_matrix_instance_f64 * pSrc,
+ arm_matrix_instance_f64 * pDst)
+{
+ float64_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float64_t *pOut = pDst->pData; /* output data matrix pointer */
+ float64_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float64_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+#if defined (ARM_MATH_DSP)
+
+ float64_t Xchg, in = 0.0, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+ /* Destination pointer modifier */
+ k = 1U;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0)
+ {
+ /* Loop over the number rows present below */
+ for (i = (l + 1U); i < numRows; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * k);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+ /* Update the destination pointer modifier */
+ k++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = in1 - (in * *pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement loop counter */
+ k--;
+
+ /* Increment pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+
+#else
+
+ float64_t Xchg, in = 0.0; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+ /* Destination pointer modifier */
+ k = 1U;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0)
+ {
+ /* Loop over the number rows present below */
+ for (i = (l + 1U); i < numRows; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * k);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+ }
+
+ for (j = 0U; j < numCols; j++)
+ {
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+ /* Update the destination pointer modifier */
+ k++;
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *(pIn + (l * numCols));
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ *pInT1 = *pInT1 / in;
+ pInT1++;
+ }
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ *pOutT1 = *pOutT1 / in;
+ pOutT1++;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pInT1 = *pInT1 - (in * *pPRT_in++);
+ pInT1++;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+ pOutT1++;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
new file mode 100644
index 0000000..90b8e95
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
@@ -0,0 +1,983 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_f32.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupMatrix
+ */
+
+/**
+ * @defgroup MatrixMult Matrix Multiplication
+ *
+ * Multiplies two matrices.
+ *
+ * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"
+
+ * Matrix multiplication is only defined if the number of columns of the
+ * first matrix equals the number of rows of the second matrix.
+ * Multiplying an M x N matrix with an N x P matrix results
+ * in an M x P matrix.
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of
+ * pSrcA and pSrcB are equal; and (2) that the size of the output
+ * matrix equals the outer dimensions of pSrcA and pSrcB.
+ */
+
+
+/**
+ * @addtogroup MatrixMult
+ * @{
+ */
+
+/**
+ * @brief Floating-point matrix multiplication.
+ * @param[in] *pSrcA points to the first input matrix structure
+ * @param[in] *pSrcB points to the second input matrix structure
+ * @param[out] *pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_f32_2x2_mve(
+ const arm_matrix_instance_f32 *pSrcA,
+ const arm_matrix_instance_f32 *pSrcB,
+ arm_matrix_instance_f32 *pDst)
+{
+ /* {a00, a00, a10, a10} */
+ static const uint32_t offsetA0[4] = { 0, 0, 2, 2 };
+ /* {b00, b01, b00, b01} */
+ static const uint32_t offsetB0[4] = { 0, 1, 0, 1 };
+ /* {a01, a01, a11, a11} */
+ static const uint32_t offsetA1[4] = { 1, 1, 3, 3 };
+ /* {b10, b11, b10, b11} */
+ static const uint32_t offsetB1[4] = { 2, 3, 2, 3 };
+
+ uint32x4_t vecOffsA, vecOffsB;
+ f32x4_t vecInA, vecInB, vecDst;
+
+ vecOffsA = vldrwq_u32((uint32_t const *) offsetA0);
+ vecOffsB = vldrwq_u32((uint32_t const *) offsetB0);
+
+ vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA);
+ vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB);
+
+ vecDst = vmulq(vecInA, vecInB);
+
+ vecOffsA = vldrwq_u32((uint32_t const *) offsetA1);
+ vecOffsB = vldrwq_u32((uint32_t const *) offsetB1);
+
+ vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA);
+ vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB);
+
+ vecDst = vfmaq(vecDst, vecInA, vecInB);
+
+ vstrwq_f32(pDst->pData, vecDst);
+
+ return (ARM_MATH_SUCCESS);
+
+}
+
+
+/*
+ * A = {{a00, a01, a02},
+ * {a10, a11, a12},
+ * {a20, a21, a22}}
+ * B = {{b00, b01, b02},
+ * {b10, b11, b12},
+ * {b20, b21, b22}}
+ *
+ * Dst = {{a00 b00 + a01 b10 + a02 b20, a00 b01 + a01 b11 + a02 b21, a00 b02 + a01 b12 + a02 b22},
+ * {a10 b00 + a11 b10 + a12 b20, a10 b01 + a11 b11 + a12 b21, a10 b02 + a11 b12 + a12 b22},
+ * {a20 b00 + a21 b10 + a22 b20, a20 b01 + a21 b11 + a22 b21, a20 b02 + a21 b12 + a22 b22}}
+ */
+__STATIC_INLINE arm_status arm_mat_mult_f32_3x3_mve(
+ const arm_matrix_instance_f32 *pSrcA,
+ const arm_matrix_instance_f32 *pSrcB,
+ arm_matrix_instance_f32 *pDst)
+{
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInA0, *pInA1, *pInA2;
+ f32x4_t vecMac0, vecMac1, vecMac2;
+ f32x4_t vecInB;
+ float32_t const *pSrBVec;
+
+ pSrBVec = (float32_t const *) pInB;
+
+ pInA0 = pInA;
+ pInA1 = pInA0 + MATRIX_DIM3;
+ pInA2 = pInA1 + MATRIX_DIM3;
+ /* enable predication to disable last (4th) vector element */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM3);
+
+ /*
+ * load {b0,0, b0,1, b0,2, 0}
+ */
+ vecInB = vldrwq_z_f32(pSrBVec, p0);
+ pSrBVec += MATRIX_DIM3;
+
+ vecMac0 = vmulq(vecInB, *pInA0++);
+ vecMac1 = vmulq(vecInB, *pInA1++);
+ vecMac2 = vmulq(vecInB, *pInA2++);
+ /*
+ * load {b1,0, b1,1, b1,2, 0}
+ */
+ vecInB = vldrwq_z_f32(pSrBVec, p0);
+ pSrBVec += MATRIX_DIM3;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ /*
+ * load {b2,0, b2,1 , b2,2, 0}
+ */
+ vecInB = vldrwq_z_f32(pSrBVec, p0);
+ pSrBVec += MATRIX_DIM3;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+
+ /* partial vector stores */
+ vstrwq_p_f32(pOut, vecMac0, p0);
+ pOut += MATRIX_DIM3;
+ vstrwq_p_f32(pOut, vecMac1, p0);
+ pOut += MATRIX_DIM3;
+ vstrwq_p_f32(pOut, vecMac2, p0);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_f32_4x4_mve(
+ const arm_matrix_instance_f32 *pSrcA,
+ const arm_matrix_instance_f32 *pSrcB,
+ arm_matrix_instance_f32 *pDst)
+{
+ float32_t const *pSrBVec;
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInA0, *pInA1, *pInA2, *pInA3;
+ f32x4_t vecMac0, vecMac1, vecMac2, vecMac3;
+ f32x4_t vecInB;
+
+ pSrBVec = (float32_t const *) pInB;
+
+ pInA0 = pInA;
+ pInA1 = pInA0 + MATRIX_DIM4;
+ pInA2 = pInA1 + MATRIX_DIM4;
+ pInA3 = pInA2 + MATRIX_DIM4;
+ /*
+ * load {b0,0, b0,1, b0,2, b0,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vmulq(vecInB, *pInA0++);
+ vecMac1 = vmulq(vecInB, *pInA1++);
+ vecMac2 = vmulq(vecInB, *pInA2++);
+ vecMac3 = vmulq(vecInB, *pInA3++);
+ /*
+ * load {b1,0, b1,1, b1,2, b1,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+ /*
+ * load {b2,0, b2,1, b2,2, b2,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+ /*
+ * load {b3,0, b3,1, b3,2, b3,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ vst1q(pOut, vecMac0);
+ pOut += MATRIX_DIM4;
+ vst1q(pOut, vecMac1);
+ pOut += MATRIX_DIM4;
+ vst1q(pOut, vecMac2);
+ pOut += MATRIX_DIM4;
+ vst1q(pOut, vecMac3);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ int numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ int numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ int numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t blkCnt; /* loop counters */
+ uint32_t i;
+ arm_status status;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if (numRowsA == 1)
+ {
+ pOut[0] = pInA[0] * pInB[0];
+ return(ARM_MATH_SUCCESS);
+ }
+ else if(numRowsA == 2)
+ return arm_mat_mult_f32_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_f32_3x3_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 4)
+ return arm_mat_mult_f32_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ /* main loop process 4 rows */
+ i = numRowsA >> 2;
+ while (i > 0U)
+ {
+ float32_t *pInA0, *pInA1, *pInA2, *pInA3;
+ float32_t *pInB0;
+ float32_t *pOut0, *pOut1, *pOut2, *pOut3;
+ f32x4_t vecMac0, vecMac1, vecMac2, vecMac3;
+ f32x4_t vecInB;
+
+ /* pointers to 4 consecutive output rows */
+ pOut0 = pOut;
+ pOut1 = pOut0 + numColsB;
+ pOut2 = pOut1 + numColsB;
+ pOut3 = pOut2 + numColsB;
+ pInB0 = pInB;
+
+ uint32_t k = numColsB >> 2;
+ while (k > 0U)
+ {
+ /* pointers to 4 consecutive Matrix A rows */
+ pInA0 = pInA;
+ pInA1 = pInA0 + numColsA;
+ pInA2 = pInA1 + numColsA;
+ pInA3 = pInA2 + numColsA;
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ vecMac1 = vdupq_n_f32(0.0f);
+ vecMac2 = vdupq_n_f32(0.0f);
+ vecMac3 = vdupq_n_f32(0.0f);
+
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (4 x 4 block) in the destination buffer */
+ vst1q(pOut0, vecMac0);
+ pOut0 += 4;
+ vst1q(pOut1, vecMac1);
+ pOut1 += 4;
+ vst1q(pOut2, vecMac2);
+ pOut2 += 4;
+ vst1q(pOut3, vecMac3);
+ pOut3 += 4;
+
+ /*
+ * rewind
+ */
+ pInB0 -= (numColsB * numColsA) - 4;
+ k--;
+ }
+
+ int colBLeft = numColsB & 3;
+ if (colBLeft)
+ {
+ pInA0 = pInA;
+ pInA1 = pInA0 + numColsA;
+ pInA2 = pInA1 + numColsA;
+ pInA3 = pInA2 + numColsA;
+ mve_pred16_t p0 = vctp32q(colBLeft);
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ vecMac1 = vdupq_n_f32(0.0f);
+ vecMac2 = vdupq_n_f32(0.0f);
+ vecMac3 = vdupq_n_f32(0.0f);
+
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = vldrwq_z_f32(pInB0, p0);
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (4 x colBLeft block) in the destination buffer */
+ vstrwq_p_f32(pOut0, vecMac0, p0);
+ vstrwq_p_f32(pOut1, vecMac1, p0);
+ vstrwq_p_f32(pOut2, vecMac2, p0);
+ vstrwq_p_f32(pOut3, vecMac3, p0);
+ }
+
+ /* move to next rows */
+ pInA += 4 * numColsA;
+ pOut += 4 * numColsB;
+ i--;
+ }
+
+ /*
+ * non multiple of 4 rows for Matrix A
+ * process single row
+ */
+ if (numRowsA & 3)
+ {
+ i = numRowsA & 3;
+ while (i > 0U)
+ {
+ float32_t *pInA0;
+ float32_t *pInB0;
+ float32_t *pOut0;
+ f32x4_t vecInB;
+ f32x4_t vecMac0;
+
+ pOut0 = pOut;
+ pInB0 = pInB;
+
+ uint32_t k = numColsB >> 2;
+ while (k > 0U)
+ {
+ pInA0 = pInA;
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ blkCnt = numColsA;
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (1 x 4 block) in the destination buffer */
+ vst1q(pOut0, vecMac0);
+ pOut0 += 4;
+
+ /*
+ * rewind
+ */
+ pInB0 -= (numColsB * numColsA) - 4;
+ k--;
+ }
+
+ int colBLeft = numColsB & 3;
+ if (colBLeft)
+ {
+ pInA0 = pInA;
+ mve_pred16_t p0 = vctp32q(colBLeft);
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ blkCnt = numColsA;
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = vldrwq_z_f32(pInB0, p0);
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /* Store the results (1 x colBLeft block) in the destination buffer */
+ vstrwq_p_f32(pOut0, vecMac0, p0);
+ }
+
+ /* move to next row */
+ pInA += 1 * numColsA;
+ pOut += 1 * numColsB;
+ i--;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+
+#if defined(ARM_MATH_NEON)
+
+#define GROUPOFROWS 8
+
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ float32_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+
+
+ uint16_t col, i = 0U, j, row = numRowsA, rowCnt, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+ float32x4_t a0V, a1V, a2V, a3V, a4V, a5V, a6V, a7V;
+ float32x4_t acc0,acc1,acc2,acc3,acc4,acc5,acc6,acc7,temp;
+ float32x2_t accum = vdup_n_f32(0);
+ float32_t *pIn1B = pSrcA->pData;
+ float32_t *pIn1C = pSrcA->pData;
+ float32_t *pIn1D = pSrcA->pData;
+ float32_t *pIn1E = pSrcA->pData;
+ float32_t *pIn1F = pSrcA->pData;
+ float32_t *pIn1G = pSrcA->pData;
+ float32_t *pIn1H = pSrcA->pData;
+
+ float32_t *pxB,*pxC, *pxD, *pxE, *pxF, *pxG, *pxH; /* Temporary output data matrix pointer */
+ float32_t sum0,sum1, sum2,sum3, sum4, sum5 , sum6, sum7;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* Row loop */
+ rowCnt = row >> 3;
+
+ while(rowCnt > 0)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + GROUPOFROWS*i;
+ pxB = px + numColsB;
+ pxC = px + 2*numColsB;
+ pxD = px + 3*numColsB;
+ pxE = px + 4*numColsB;
+ pxF = px + 5*numColsB;
+ pxG = px + 6*numColsB;
+ pxH = px + 7*numColsB;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum0 = 0.0f;
+ sum1 = 0.0f;
+ sum2 = 0.0f;
+ sum3 = 0.0f;
+ sum4 = 0.0f;
+ sum5 = 0.0f;
+ sum6 = 0.0f;
+ sum7 = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+ pIn1B = pIn1 + numColsA;
+ pIn1C = pIn1 + 2*numColsA;
+ pIn1D = pIn1 + 3*numColsA;
+ pIn1E = pIn1 + 4*numColsA;
+ pIn1F = pIn1 + 5*numColsA;
+ pIn1G = pIn1 + 6*numColsA;
+ pIn1H = pIn1 + 7*numColsA;
+
+ acc0 = vdupq_n_f32(0.0);
+ acc1 = vdupq_n_f32(0.0);
+ acc2 = vdupq_n_f32(0.0);
+ acc3 = vdupq_n_f32(0.0);
+ acc4 = vdupq_n_f32(0.0);
+ acc5 = vdupq_n_f32(0.0);
+ acc6 = vdupq_n_f32(0.0);
+ acc7 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a0V = vld1q_f32(pIn1);
+ a1V = vld1q_f32(pIn1B);
+ a2V = vld1q_f32(pIn1C);
+ a3V = vld1q_f32(pIn1D);
+ a4V = vld1q_f32(pIn1E);
+ a5V = vld1q_f32(pIn1F);
+ a6V = vld1q_f32(pIn1G);
+ a7V = vld1q_f32(pIn1H);
+
+ pIn1 += 4;
+ pIn1B += 4;
+ pIn1C += 4;
+ pIn1D += 4;
+ pIn1E += 4;
+ pIn1F += 4;
+ pIn1G += 4;
+ pIn1H += 4;
+
+ temp = vsetq_lane_f32(*pIn2,temp,0);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,1);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,2);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,3);
+ pIn2 += numColsB;
+
+ acc0 = vmlaq_f32(acc0,a0V,temp);
+ acc1 = vmlaq_f32(acc1,a1V,temp);
+ acc2 = vmlaq_f32(acc2,a2V,temp);
+ acc3 = vmlaq_f32(acc3,a3V,temp);
+ acc4 = vmlaq_f32(acc4,a4V,temp);
+ acc5 = vmlaq_f32(acc5,a5V,temp);
+ acc6 = vmlaq_f32(acc6,a6V,temp);
+ acc7 = vmlaq_f32(acc7,a7V,temp);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+ sum0 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1));
+ sum1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2));
+ sum2 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3));
+ sum3 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc4), vget_high_f32(acc4));
+ sum4 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc5), vget_high_f32(acc5));
+ sum5 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc6), vget_high_f32(acc6));
+ sum6 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc7), vget_high_f32(acc7));
+ sum7 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA & 3;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ sum0 += *pIn1++ * (*pIn2);
+ sum1 += *pIn1B++ * (*pIn2);
+ sum2 += *pIn1C++ * (*pIn2);
+ sum3 += *pIn1D++ * (*pIn2);
+ sum4 += *pIn1E++ * (*pIn2);
+ sum5 += *pIn1F++ * (*pIn2);
+ sum6 += *pIn1G++ * (*pIn2);
+ sum7 += *pIn1H++ * (*pIn2);
+ pIn2 += numColsB;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* Store the result in the destination buffer */
+ *px++ = sum0;
+ *pxB++ = sum1;
+ *pxC++ = sum2;
+ *pxD++ = sum3;
+ *pxE++ = sum4;
+ *pxF++ = sum5;
+ *pxG++ = sum6;
+ *pxH++ = sum7;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + j;
+
+ /* Decrement the column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update the pointer pInA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + GROUPOFROWS*numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+ }
+
+ /*
+
+ i was the index of a group of rows computed by previous loop.
+ Now i is the index of a row since below code is computing row per row
+ and no more group of row per group of rows.
+
+ */
+
+ i = GROUPOFROWS*i;
+ rowCnt = row & 7;
+
+ while(rowCnt > 0)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+
+ acc0 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a0V = vld1q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
+ pIn1 += 4;
+
+ temp = vsetq_lane_f32(*pIn2,temp,0);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,1);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,2);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,3);
+ pIn2 += numColsB;
+
+ acc0 = vmlaq_f32(acc0,a0V,temp);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+ sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ sum += *pIn1++ * (*pIn2);
+ pIn2 += numColsB;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* Store the result in the destination buffer */
+ *px++ = sum;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + j;
+
+ /* Decrement the column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+
+ /* Update the pointer pInA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ float32_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0.0f;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sum;
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
new file mode 100644
index 0000000..670ace1
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
@@ -0,0 +1,483 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_fast_q15.c
+ * Description: Q15 matrix multiplication (fast variant)
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q15 matrix multiplication (fast variant).
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @param[in] pState points to the array for storing intermediate results
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The difference between the function \ref arm_mat_mult_q15() and this fast variant is that
+ the fast variant use a 32-bit rather than a 64-bit accumulator.
+ The result of each 1.15 x 1.15 multiplication is truncated to
+ 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30
+ format. Finally, the accumulator is saturated and converted to a 1.15 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides
+ less precision since it discards the low 16 bits of each multiplication result.
+ In order to avoid overflows completely the input signals must be scaled down.
+ Scale down one of the input matrices by log2(numColsA) bits to avoid overflows,
+ as a total of numColsA additions are computed internally for each output element.
+ @remark
+ Refer to \ref arm_mat_mult_q15() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q31_t sum; /* Accumulator */
+ q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */
+ q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix A */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in; /* Temporary variable to hold the input value */
+ q31_t inA1, inB1, inA2, inB2;
+ q31_t sum2, sum3, sum4;
+ q15_t *pInA2, *pInB2, *px2;
+ uint32_t j = 0;
+#else
+ q15_t in; /* Temporary variable to hold the input value */
+ q15_t inA1, inB1, inA2, inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose */
+ do
+ {
+ /* The pointer px is set to starting address of column being processed */
+ px = pSrcBT + i;
+
+ /* Apply loop unrolling and exchange columns with row elements */
+ col = numColsB >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (col > 0U)
+ {
+
+#if defined (ARM_MATH_DSP)
+
+ /* Read two elements from row */
+ in = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ in = read_q15x2_ia ((q15_t **) &pInB);
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Read one element from row */
+ in = *pInB++;
+
+ /* Store one element in destination */
+ *px = in;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ col = numColsB % 0x4U;
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pInB++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+#if defined (ARM_MATH_DSP)
+ /* Process two rows from matrix A at a time and output two rows at a time */
+ row = row >> 1U;
+ px2 = px + numColsB;
+#endif
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ while (row > 0U)
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+ pInB = pSrcBT;
+
+#if defined (ARM_MATH_DSP)
+ /* Process two (transposed) columns from matrix B at a time */
+ col = col >> 1U;
+ j = 0;
+#endif
+
+ /* column loop */
+ while (col > 0U)
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i;
+
+#if defined (ARM_MATH_DSP)
+ sum2 = 0;
+ sum3 = 0;
+ sum4 = 0;
+ pInB = pSrcBT + j;
+ pInA2 = pInA + numColsA;
+ pInB2 = pInB + numRowsB;
+
+ /* Read in two elements at once - alows dual MAC instruction */
+ colCnt = numColsA >> 1U;
+#else
+ colCnt = numColsA >> 2U;
+#endif
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+
+ inA2 = read_q15x2_ia ((q15_t **) &pInA2);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB2);
+
+ /* Multiply and Accumlates */
+ sum = __SMLAD(inA1, inB1, sum);
+ sum2 = __SMLAD(inA1, inB2, sum2);
+ sum3 = __SMLAD(inA2, inB1, sum3);
+ sum4 = __SMLAD(inA2, inB2, sum4);
+#else
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ /* Multiply and Accumlates */
+ sum += inA1 * inB1;
+
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+ sum += inA2 * inB2;
+
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ sum += inA1 * inB1;
+
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+ sum += inA2 * inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process odd column samples */
+#if defined (ARM_MATH_DSP)
+ if (numColsA & 1U) {
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ inA2 = *pInA2++;
+ inB2 = *pInB2++;
+ sum += inA1 * inB1;
+ sum2 += inA1 * inB2;
+ sum3 += inA2 * inB1;
+ sum4 += inA2 * inB2;
+ }
+#else
+ colCnt = numColsA % 0x4U;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ sum += (q31_t) *pInA++ * *pInB++;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) (sum >> 15);
+
+#if defined (ARM_MATH_DSP)
+ *px++ = (q15_t) (sum2 >> 15);
+ *px2++ = (q15_t) (sum3 >> 15);
+ *px2++ = (q15_t) (sum4 >> 15);
+ j += numRowsB * 2;
+#endif
+
+ /* Decrement column loop counter */
+ col--;
+
+ }
+
+ i = i + numColsA;
+
+#if defined (ARM_MATH_DSP)
+ i = i + numColsA;
+ px = px2 + (numColsB & 1U);
+ px2 = px + numColsB;
+#endif
+
+ /* Decrement row loop counter */
+ row--;
+
+ }
+
+ /* Compute any remaining odd row/column below */
+
+#if defined (ARM_MATH_DSP)
+
+ /* Compute remaining output column */
+ if (numColsB & 1U) {
+
+ /* Avoid redundant computation of last element */
+ row = numRowsA & (~0x1);
+
+ /* Point to remaining unfilled column in output matrix */
+ px = pDst->pData + numColsB-1;
+ pInA = pSrcA->pData;
+
+ /* row loop */
+ while (row > 0)
+ {
+
+ /* point to last column in matrix B */
+ pInB = pSrcBT + numRowsB * (numColsB-1);
+
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Compute 4 columns at once */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inA2 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+ sum = __SMLAD(inA1, inB1, sum);
+ sum = __SMLAD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ colCnt = numColsA & 3U;
+ while (colCnt > 0U) {
+ sum += (q31_t) (*pInA++) * (*pInB++);
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px = (q15_t) (sum >> 15);
+ px += numColsB;
+
+ /* Decrement row loop counter */
+ row--;
+ }
+ }
+
+ /* Compute remaining output row */
+ if (numRowsA & 1U) {
+
+ /* point to last row in output matrix */
+ px = pDst->pData + (numColsB) * (numRowsA-1);
+
+ pInB = pSrcBT;
+ col = numColsB;
+ i = 0U;
+
+ /* col loop */
+ while (col > 0)
+ {
+ /* point to last row in matrix A */
+ pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Compute 4 columns at once */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inA2 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+ sum = __SMLAD(inA1, inB1, sum);
+ sum = __SMLAD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ colCnt = numColsA % 4U;
+ while (colCnt > 0U) {
+ sum += (q31_t) (*pInA++) * (*pInB++);
+
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = (q15_t) (sum >> 15);
+
+ /* Decrement column loop counter */
+ col--;
+ }
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
new file mode 100644
index 0000000..011959a
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
@@ -0,0 +1,374 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_fast_q31.c
+ * Description: Q31 matrix multiplication (fast variant)
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 matrix multiplication (fast variant).
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The difference between the function \ref arm_mat_mult_q31() and this fast variant is that
+ the fast variant use a 32-bit rather than a 64-bit accumulator.
+ The result of each 1.31 x 1.31 multiplication is truncated to
+ 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30
+ format. Finally, the accumulator is saturated and converted to a 1.31 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides
+ less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signals must be scaled down.
+ Scale down one of the input matrices by log2(numColsA) bits to avoid overflows,
+ as a total of numColsA additions are computed internally for each output element.
+ @remark
+ Refer to \ref arm_mat_mult_q31() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA2;
+ q31_t *px; /* Temporary output data matrix pointer */
+ q31_t *px2;
+ q31_t sum1, sum2, sum3, sum4; /* Accumulator */
+ q31_t inA1, inA2, inB1, inB2;
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ px = pDst->pData;
+
+ row = row >> 1U;
+ px2 = px + numColsB;
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ while (row > 0U)
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pInB = pSrcB->pData;
+
+ j = 0U;
+
+ col = col >> 1U;
+
+ /* column loop */
+ while (col > 0U)
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum1 = 0;
+ sum2 = 0;
+ sum3 = 0;
+ sum4 = 0;
+
+ /* Initiate data pointers */
+ pInA = pSrcA->pData + i;
+ pInB = pSrcB->pData + j;
+ pInA2 = pInA + numColsA;
+
+ colCnt = numColsA;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ inA1 = *pInA++;
+ inB1 = pInB[0];
+ inA2 = *pInA2++;
+ inB2 = pInB[1];
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(inA1, inB1, sum1);
+ sum2 = __SMMLA(inA1, inB2, sum2);
+ sum3 = __SMMLA(inA2, inB1, sum3);
+ sum4 = __SMMLA(inA2, inB2, sum4);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+ sum2 = (q31_t) ((((q63_t) sum2 << 32) + ((q63_t) inA1 * inB2)) >> 32);
+ sum3 = (q31_t) ((((q63_t) sum3 << 32) + ((q63_t) inA2 * inB1)) >> 32);
+ sum4 = (q31_t) ((((q63_t) sum4 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+ *px++ = sum1 << 1;
+ *px++ = sum2 << 1;
+ *px2++ = sum3 << 1;
+ *px2++ = sum4 << 1;
+
+ j += 2;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i = i + (numColsA << 1U);
+ px = px2 + (numColsB & 1U);
+ px2 = px + numColsB;
+
+ /* Decrement row loop counter */
+ row--;
+ }
+
+ /* Compute any remaining odd row/column below */
+
+ /* Compute remaining output column */
+ if (numColsB & 1U) {
+
+ /* Avoid redundant computation of last element */
+ row = numRowsA & (~1U);
+
+ /* Point to remaining unfilled column in output matrix */
+ px = pDst->pData + numColsB-1;
+ pInA = pSrcA->pData;
+
+ /* row loop */
+ while (row > 0)
+ {
+
+ /* point to last column in matrix B */
+ pInB = pSrcB->pData + numColsB-1;
+
+ /* Set variable sum1, that acts as accumulator, to zero */
+ sum1 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 columns at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining column */
+ colCnt = numColsA % 4U;
+
+#else
+
+ /* Initialize colCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U) {
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+ colCnt--;
+ }
+
+ /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+ *px = sum1 << 1;
+ px += numColsB;
+
+ /* Decrement row loop counter */
+ row--;
+ }
+ }
+
+ /* Compute remaining output row */
+ if (numRowsA & 1U) {
+
+ /* point to last row in output matrix */
+ px = pDst->pData + (numColsB) * (numRowsA-1);
+
+ col = numColsB;
+ i = 0U;
+
+ /* col loop */
+ while (col > 0)
+ {
+
+ /* point to last row in matrix A */
+ pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+ pInB = pSrcB->pData + i;
+
+ /* Set variable sum1, that acts as accumulator, to zero */
+ sum1 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 columns at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = *pInA++;
+ inA2 = *pInA++;
+ inB1 = *pInB;
+ pInB += numColsB;
+ inB2 = *pInB;
+ pInB += numColsB;
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(inA1, inB1, sum1);
+ sum1 = __SMMLA(inA2, inB2, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+ inA1 = *pInA++;
+ inA2 = *pInA++;
+ inB1 = *pInB;
+ pInB += numColsB;
+ inB2 = *pInB;
+ pInB += numColsB;
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(inA1, inB1, sum1);
+ sum1 = __SMMLA(inA2, inB2, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining column */
+ colCnt = numColsA % 4U;
+
+#else
+
+ /* Initialize colCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U) {
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+ colCnt--;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = sum1 << 1;
+ i++;
+
+ /* Decrement col loop counter */
+ col--;
+ }
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
new file mode 100644
index 0000000..0b531f2
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
@@ -0,0 +1,892 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_q15.c
+ * Description: Q15 matrix multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q15 matrix multiplication.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @param[in] pState points to the array for storing intermediate results (Unused)
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator. The inputs to the
+ multiplications are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits
+ and then saturated to 1.15 format.
+ @par
+ Refer to \ref arm_mat_mult_fast_q15() for a faster but less precise version of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_q15_2x2_mve(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + MATRIX_DIM2;
+ q63_t acc0, acc1;
+ q15x8_t vecB, vecA0, vecA1;
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM2);
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 2); /* MATRIX_DIM2 */
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0);
+
+ vecA0 = vldrhq_s16(pInA0);
+ vecA1 = vldrhq_s16(pInA1);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+
+ pOut[0 * MATRIX_DIM2] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM2] = (q15_t) __SSAT(acc1, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+
+ pOut[0 * MATRIX_DIM2] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM2] = (q15_t) __SSAT(acc1, 16);
+
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_q15_3x3_mve(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + MATRIX_DIM3;
+ q15_t *pInA2 = pInA1 + MATRIX_DIM3;
+ q63_t acc0, acc1, acc2;
+ q15x8_t vecB, vecA0, vecA1, vecA2;
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM3);
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM3;
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0);
+
+ vecA0 = vldrhq_s16(pInA0);
+ vecA1 = vldrhq_s16(pInA1);
+ vecA2 = vldrhq_s16(pInA2);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_mult_q15_4x4_mve(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + MATRIX_DIM4;
+ q15_t *pInA2 = pInA1 + MATRIX_DIM4;
+ q15_t *pInA3 = pInA2 + MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q15x8_t vecB, vecA0, vecA1, vecA2, vecA3;
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM4);
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 4);
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0);
+
+ vecA0 = vldrhq_s16(pInA0);
+ vecA1 = vldrhq_s16(pInA1);
+ vecA2 = vldrhq_s16(pInA2);
+ vecA3 = vldrhq_s16(pInA3);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */
+ uint16x8_t vecOffs, vecColBOffs;
+ uint32_t blkCnt,rowCnt; /* loop counters */
+ arm_status status; /* Status of matrix multiplication */
+ (void)pState;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif
+ {
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+
+ if (numRowsA == 1)
+ {
+ q63_t sum;
+ sum = pInA[0] * pInB[0];
+ pOut[0] = (q15_t) __SSAT((sum >> 15), 16);
+ return (ARM_MATH_SUCCESS);
+ }
+ else if(numRowsA == 2)
+ return arm_mat_mult_q15_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_q15_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_mult_q15_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * (uint16_t) (numColsB);
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 2;
+ while (rowCnt > 0U)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i;
+ i = i + 4 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0U)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ q15_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + numColsA;
+ q15_t *pInA2 = pInA1 + numColsA;
+ q15_t *pInA3 = pInA2 + numColsA;
+ q63_t acc0, acc1, acc2, acc3;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ pSrcA0Vec = (q15_t const *) pInA0;
+ pSrcA1Vec = (q15_t const *) pInA1;
+ pSrcA2Vec = (q15_t const *) pInA2;
+ pSrcA3Vec = (q15_t const *) pInA3;
+
+ vecOffs = vecColBOffs;
+
+ blkCnt = (numColsA) >> 3;
+ while (blkCnt > 0U)
+ {
+ q15x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs);
+ vecOffs = vecOffs + (uint16_t) (numColsB * 8);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 8;
+ acc0 = vmlaldavaq(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 8;
+ acc1 = vmlaldavaq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 8;
+ acc2 = vmlaldavaq(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 8;
+ acc3 = vmlaldavaq(acc3, vecA, vecB);
+ blkCnt--;
+
+ }
+ /*
+ * tail
+ */
+ blkCnt = numColsA & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ q15x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs);
+ vecOffs = vecOffs + (uint16_t) (numColsB * 8);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vmlaldavaq_p(acc1, vecA, vecB, p0);
+ vecA = vld1q(pSrcA2Vec);
+ acc2 = vmlaldavaq_p(acc2, vecA, vecB, p0);
+ vecA = vld1q(pSrcA3Vec);
+ acc3 = vmlaldavaq_p(acc3, vecA, vecB, p0);
+ }
+
+ px[0] = (q15_t)MVE_ASRL_SAT16(acc0, 15);
+ px[1 * numColsB] = (q15_t)MVE_ASRL_SAT16(acc1, 15);
+ px[2 * numColsB] = (q15_t)MVE_ASRL_SAT16(acc2, 15);
+ px[3 * numColsB] = (q15_t)MVE_ASRL_SAT16(acc3, 15);
+ px++;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = pSrcB->pData + (numColsB - col);
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 4);
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+
+ rowCnt = row & 3;
+ while (rowCnt > 0U)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0U)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ q15_t const *pSrcA0Vec;
+ q15_t *pInA0 = pInA;
+ q63_t acc0;
+
+ acc0 = 0LL;
+
+ pSrcA0Vec = (q15_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ blkCnt = (numColsA) >> 3;
+ while (blkCnt > 0U)
+ {
+ q15x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs);
+ vecOffs = vecOffs + (uint16_t) (numColsB * 8);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 8;
+ acc0 = vmlaldavaq(acc0, vecA, vecB);
+
+ blkCnt--;
+
+ }
+ /*
+ * tail
+ */
+ blkCnt = numColsA & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ q15x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs);
+ vecOffs = vecOffs + (uint16_t) (numColsB * 8);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0);
+
+ }
+
+ px[0] = (q15_t)MVE_ASRL_SAT16(acc0, 15);
+
+ px++;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = pSrcB->pData + (numColsB - col);
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA );
+ rowCnt--;
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+#else
+arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q63_t sum; /* Accumulator */
+
+#if defined (ARM_MATH_DSP) /* != CM0 */
+
+ q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */
+ q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix A */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+ q31_t in; /* Temporary variable to hold the input value */
+ q31_t inA1, inB1, inA2, inB2;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose */
+ do
+ {
+ /* The pointer px is set to starting address of column being processed */
+ px = pSrcBT + i;
+
+ /* Apply loop unrolling and exchange columns with row elements */
+ col = numColsB >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (col > 0U)
+ {
+ /* Read two elements from row */
+ in = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Read two elements from row */
+ in = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ col = numColsB % 0x4U;
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pInB++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+ pInB = pSrcBT;
+
+ /* column loop */
+ do
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i;
+
+ /* Apply loop unrolling and compute 2 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+
+ inA2 = read_q15x2_ia ((q15_t **) &pInA);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Multiply and Accumlates */
+ sum = __SMLALD(inA1, inB1, sum);
+ sum = __SMLALD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process remaining column samples */
+ colCnt = numColsA % 0x4U;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ sum += *pInA++ * *pInB++;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Saturate and store result in destination buffer */
+ *px = (q15_t) (__SSAT((sum >> 15), 16));
+ px++;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ i = i + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ q15_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q15_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
+ q15_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+ (void)pState;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pIn1 to point to starting address of pSrcA */
+ pIn1 = pInA;
+
+ /* Matrix A columns number of MAC operations are to be performed */
+ colCnt = numColsA;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform multiply-accumulates */
+ sum += (q31_t) * pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert result from 34.30 to 1.15 format and store saturated value in destination buffer */
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) __SSAT((sum >> 15), 16);
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pSrcA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
new file mode 100644
index 0000000..8f2e7d0
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
@@ -0,0 +1,763 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_q31.c
+ * Description: Q31 matrix multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 matrix multiplication.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit. There is no saturation
+ on intermediate additions. Thus, if the accumulator overflows it wraps around and
+ distorts the result. The input signals should be scaled down to avoid intermediate
+ overflows. The input is thus scaled down by log2(numColsA) bits
+ to avoid overflows, as a total of numColsA additions are performed internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ @remark
+ Refer to \ref arm_mat_mult_fast_q31() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI)
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_q31_2x2_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM2;
+ q63_t acc0, acc1;
+ q31x4_t vecB, vecA0, vecA1;
+ /* enable predication to disable half of vector elements */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM2);
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM2;
+
+ pInB = pSrcB->pData;
+
+ /* load 1st B column (partial load) */
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ /* load A rows */
+ vecA0 = vldrwq_s32(pInA0);
+ vecA1 = vldrwq_s32(pInA1);
+
+ acc0 = vrmlaldavhq(vecA0, vecB);
+ acc1 = vrmlaldavhq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ pOut[0 * MATRIX_DIM2] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM2] = (q31_t) acc1;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ acc0 = vrmlaldavhq(vecA0, vecB);
+ acc1 = vrmlaldavhq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ pOut[0 * MATRIX_DIM2] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM2] = (q31_t) acc1;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_q31_3x3_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM3;
+ q31_t *pInA2 = pInA1 + MATRIX_DIM3;
+ q63_t acc0, acc1, acc2;
+ q31x4_t vecB, vecA;
+ /* enable predication to disable last (4th) vector element */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM3);
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM3;
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_mult_q31_4x4_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM4;
+ q31_t *pInA2 = pInA1 + MATRIX_DIM4;
+ q31_t *pInA3 = pInA2 + MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecA;
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 4);
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = (q31_t const *)pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = (q31_t const *)pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint32x4_t vecOffs, vecColBOffs;
+ uint32_t blkCnt, rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if (numRowsA == 1)
+ {
+ q63_t sum = (q63_t) *pInA * *pInB;
+ pOut[0] = (q31_t)(sum >> 31);
+ return (ARM_MATH_SUCCESS);
+ }
+ else if(numRowsA == 2)
+ return arm_mat_mult_q31_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_q31_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_mult_q31_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * (uint32_t) (numColsB);
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 2;
+ while (rowCnt > 0U)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i;
+ i = i + 4 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *)pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0U)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ q31_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + numColsA;
+ q31_t const *pInA2 = pInA1 + numColsA;
+ q31_t const *pInA3 = pInA2 + numColsA;
+ q63_t acc0, acc1, acc2, acc3;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+ pSrcA1Vec = (q31_t const *) pInA1;
+ pSrcA2Vec = (q31_t const *) pInA2;
+ pSrcA3Vec = (q31_t const *) pInA3;
+
+ vecOffs = vecColBOffs;
+
+ /* process 1 x 4 block output */
+ blkCnt = numColsA >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /* move Matrix B read offsets, 4 rows down */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4;
+ acc1 = vrmlaldavhaq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4;
+ acc2 = vrmlaldavhaq(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4;
+ acc3 = vrmlaldavhaq(acc3, vecA, vecB);
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+ //vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4;
+ acc1 = vrmlaldavhaq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4;
+ acc2 = vrmlaldavhaq(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4;
+ acc3 = vrmlaldavhaq(acc3, vecA, vecB);
+ }
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ px[0] = (q31_t) acc0;
+ px[1 * numColsB] = (q31_t) acc1;
+ px[2 * numColsB] = (q31_t) acc2;
+ px[3 * numColsB] = (q31_t) acc3;
+ px++;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *)pSrcB->pData + (numColsB - col);
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 4);
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+ rowCnt = row & 3;
+ while (rowCnt > 0U)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *)pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0U)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+ colCnt = numColsA;
+
+ q31_t const *pSrcA0Vec;
+ q31_t const *pInA0 = pInA;
+ q63_t acc0;
+
+ acc0 = 0LL;
+
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /* process 1 x 4 block output */
+ blkCnt = numColsA >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /* move Matrix B read offsets, 4 rows down */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+ //vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+
+ }
+
+ acc0 = asrl(acc0, 23);
+
+
+ px[0] = (q31_t) acc0;
+ px++;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *)pSrcB->pData + (numColsB - col);
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt--;
+ }
+
+ /*
+ * set status as ARM_MATH_SUCCESS
+ */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ q63_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert result from 2.62 to 1.31 format and store in destination buffer */
+ *px++ = (q31_t) (sum >> 31);
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
new file mode 100644
index 0000000..518d3db
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
@@ -0,0 +1,287 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_scale_f32.c
+ * Description: Multiplies a floating-point matrix by a scalar
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixScale Matrix Scale
+
+ Multiplies a matrix by a scalar. This is accomplished by multiplying each element in the
+ matrix by the scalar. For example:
+ \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix"
+
+ The function checks to make sure that the input and output matrices are of the same size.
+
+ In the fixed-point Q15 and Q31 functions, scale is represented by
+ a fractional multiplication scaleFract and an arithmetic shift shift.
+ The shift allows the gain of the scaling operation to exceed 1.0.
+ The overall scale factor applied to the fixed-point data is
+ + scale = scaleFract * 2^shift. ++ */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Floating-point matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scale scale factor to be applied + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + arm_status status; /* status of matrix scaling */ + #ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecIn, vecOut; + float32_t const *pInVec; + + pInVec = (float32_t const *) pIn; + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* + * C(m,n) = A(m,n) * scale + * Scaling and results are stored in the destination buffer. + */ + vecIn = vld1q(pInVec); + pInVec += 4; + + vecOut = vecIn * scale; + + vst1q(pOut, vecOut); + pOut += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecIn = vld1q(pInVec); + vecOut = vecIn * scale; + + vstrwq_p(pOut, vecOut, p0); + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix scaling */ + + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32x4_t vec1; + float32x4_t res; + + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + + blkCnt = numSamples >> 2; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* Scaling and results are stored in the destination buffer. */ + vec1 = vld1q_f32(pIn); + res = vmulq_f32(vec1, vdupq_n_f32(scale)); + vst1q_f32(pOut, res); + + /* update pointers to process next sampels */ + pIn += 4U; + pOut += 4U; + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* The results are stored in the destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* Input data matrix pointer */ + float32_t *pOut = pDst->pData; /* Output data matrix pointer */ + uint32_t numSamples; /* Total number of elements in the matrix */ + uint32_t blkCnt; /* Loop counters */ + arm_status status; /* Status of matrix scaling */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + + /* Scale and store result in destination buffer. */ + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + + /* Scale and store result in destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixScale group + */ diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c new file mode 100644 index 0000000..b413f8a --- /dev/null +++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c @@ -0,0 +1,249 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_q15.c + * Description: Multiplies a Q15 matrix by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Q15 matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scaleFract fractional portion of the scale factor + @param[in] shift number of bits to shift the result by + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The input data
*pSrc and scaleFract are in 1.15 format.
+ These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.
+ */
+#if defined(ARM_MATH_MVEI)
+arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst)
+{
+ arm_status status; /* Status of matrix scaling */
+ q15_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ q15x8_t vecIn, vecOut;
+ q15_t const *pInVec;
+ int32_t totShift = shift + 1; /* shift to apply after scaling */
+
+ pInVec = (q15_t const *) pIn;
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C(m,n) = A(m,n) * scale
+ * Scaling and results are stored in the destination buffer.
+ */
+ vecIn = vld1q(pInVec); pInVec += 8;
+
+ /* multiply input with scaler value */
+ vecOut = vmulhq(vecIn, vdupq_n_s16(scaleFract));
+ /* apply shifting */
+ vecOut = vqshlq_r(vecOut, totShift);
+
+ vst1q(pOut, vecOut); pOut += 8;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecIn = vld1q(pInVec); pInVec += 8;
+ vecOut = vmulhq(vecIn, vdupq_n_s16(scaleFract));
+ vecOut = vqshlq_r(vecOut, totShift);
+ vstrhq_p(pOut, vecOut, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pIn = pSrc->pData; /* Input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* Output data matrix pointer */
+ uint32_t numSamples; /* Total number of elements in the matrix */
+ uint32_t blkCnt; /* Loop counter */
+ arm_status status; /* Status of matrix scaling */
+ int32_t kShift = 15 - shift; /* Total shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+ q31_t inA1, inA2;
+ q31_t out1, out2, out3, out4; /* Temporary output variables */
+ q15_t in1, in2, in3, in4; /* Temporary input variables */
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 times 2 samples at a time from source */
+ inA1 = read_q15x2_ia ((q15_t **) &pIn);
+ inA2 = read_q15x2_ia ((q15_t **) &pIn);
+
+ /* Scale inputs and store result in temporary variables
+ * in single cycle by packing the outputs */
+ out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+ out2 = (q31_t) ((q15_t) (inA1 ) * scaleFract);
+ out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+ out4 = (q31_t) ((q15_t) (inA2 ) * scaleFract);
+
+ /* apply shifting */
+ out1 = out1 >> kShift;
+ out2 = out2 >> kShift;
+ out3 = out3 >> kShift;
+ out4 = out4 >> kShift;
+
+ /* saturate the output */
+ in1 = (q15_t) (__SSAT(out1, 16));
+ in2 = (q15_t) (__SSAT(out2, 16));
+ in3 = (q15_t) (__SSAT(out3, 16));
+ in4 = (q15_t) (__SSAT(out4, 16));
+
+ /* store result to destination */
+ write_q15x2_ia (&pOut, __PKHBT(in2, in1, 16));
+ write_q15x2_ia (&pOut, __PKHBT(in4, in3, 16));
+
+#else
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+ /* Scale, saturate and store result in destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixScale group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
new file mode 100644
index 0000000..0a52bfc
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
@@ -0,0 +1,242 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_scale_q31.c
+ * Description: Multiplies a Q31 matrix by a scalar
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixScale
+ @{
+ */
+
+/**
+ @brief Q31 matrix scaling.
+ @param[in] pSrc points to input matrix
+ @param[in] scaleFract fractional portion of the scale factor
+ @param[in] shift number of bits to shift the result by
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The input data *pSrc and scaleFract are in 1.31 format.
+ These are multiplied to yield a 2.62 intermediate result which is shifted with saturation to 1.31 format.
+ */
+#if defined(ARM_MATH_MVEI)
+arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ q31x4_t vecIn, vecOut;
+ q31_t const *pInVec;
+ int32_t totShift = shift + 1; /* shift to apply after scaling */
+ arm_status status; /* Status of matrix scaling */
+
+ pInVec = (q31_t const *) pIn;
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C(m,n) = A(m,n) * scale
+ * Scaling and results are stored in the destination buffer.
+ */
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ /* multiply input with scaler value */
+ vecOut = vmulhq(vecIn, vdupq_n_s32(scaleFract));
+ /* apply shifting */
+ vecOut = vqshlq_r(vecOut, totShift);
+
+ vst1q(pOut, vecOut);
+ pOut += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ vecOut = vmulhq(vecIn, vdupq_n_s32(scaleFract));
+ vecOut = vqshlq_r(vecOut, totShift);
+ vstrwq_p(pOut, vecOut, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* Input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ uint32_t numSamples; /* Total number of elements in the matrix */
+ uint32_t blkCnt; /* Loop counter */
+ arm_status status; /* Status of matrix scaling */
+ int32_t kShift = shift + 1; /* Shift to apply after scaling */
+ q31_t in, out; /* Temporary variabels */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+ /* Scale, saturate and store result in destination buffer. */
+ in = *pIn++; /* read four inputs from source */
+ in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */
+ out = in << kShift; /* apply shifting */
+ if (in != (out >> kShift)) /* saturate the results. */
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out; /* Store result destination */
+
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+ /* Scale, saturate and store result in destination buffer. */
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixScale group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
new file mode 100644
index 0000000..d76537b
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
@@ -0,0 +1,298 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_f32.c
+ * Description: Floating-point matrix subtraction
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixSub Matrix Subtraction
+
+ Subtract two matrices.
+ \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"
+
+ The functions check to make sure that
+ pSrcA, pSrcB, and pDst have the same
+ number of rows and columns.
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Floating-point matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ arm_status status; /* status of matrix subtraction */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ float32_t *pDataA, *pDataB, *pDataDst;
+ f32x4_t vecA, vecB, vecDst;
+ float32_t const *pSrcAVec;
+ float32_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (float32_t const *) pDataA;
+ pSrcBVec = (float32_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ vecDst = vsubq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ float32x4_t vec1;
+ float32x4_t vec2;
+ float32x4_t res;
+
+ /* Total number of samples in the input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+ blkCnt = numSamples >> 2U;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+ /* Subtract and then store the results in the destination buffer. */
+ /* Read values from source A */
+ vec1 = vld1q_f32(pIn1);
+ vec2 = vld1q_f32(pIn2);
+ res = vsubq_f32(vec1, vec2);
+ vst1q_f32(pOut, res);
+
+ /* Update pointers to process next samples */
+ pIn1 += 4U;
+ pIn2 += 4U;
+ pOut += 4U;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x4U;
+
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+ /* Subtract and then store the results in the destination buffer. */
+ *pOut++ = (*pIn1++) - (*pIn2++);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (*pInA++) - (*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
new file mode 100644
index 0000000..b0c7bf3
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
@@ -0,0 +1,219 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_q15.c
+ * Description: Q15 Matrix subtraction
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Q15 matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI)
+
+arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q15_t *pDataA, *pDataB, *pDataDst;
+ q15x8_t vecA, vecB, vecDst;
+ q15_t const *pSrcAVec;
+ q15_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q15_t const *) pDataA;
+ pSrcBVec = (q15_t const *) pDataB;
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst); pDataDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqsubq_m(vecDst, vecA, vecB, p0);
+ vstrhq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract, Saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia ((q15_t **) &pInA), read_q15x2_ia ((q15_t **) &pInB)));
+ write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia ((q15_t **) &pInA), read_q15x2_ia ((q15_t **) &pInB)));
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++);
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
new file mode 100644
index 0000000..5356ce7
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
@@ -0,0 +1,218 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_q31.c
+ * Description: Q31 matrix subtraction
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Q31 matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI)
+arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q31_t *pDataA, *pDataB, *pDataDst;
+ q31x4_t vecA, vecB, vecDst;
+ q31_t const *pSrcAVec;
+ q31_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q31_t const *) pDataA;
+ pSrcBVec = (q31_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqsubq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract, saturate and then store the results in the destination buffer. */
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract, saturate and store result in destination buffer. */
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
new file mode 100644
index 0000000..44047b9
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
@@ -0,0 +1,325 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_f32.c
+ * Description: Floating-point matrix transpose
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixTrans Matrix Transpose
+
+ Tranposes a matrix.
+
+ Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix.
+ \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Floating-point matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 2)
+ return arm_mat_trans_32bit_2x2_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_32bit_3x3_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_32bit_4x4_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ }
+
+ arm_mat_trans_32bit_generic_mve(pSrc->numRows, pSrc->numCols, (uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nColumns = pSrc->numCols; /* number of columns */
+
+ uint16_t blkCnt, rowCnt, i = 0U, row = nRows; /* loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* Row loop */
+ rowCnt = row >> 2;
+ while (rowCnt > 0U)
+ {
+ float32x4_t row0V,row1V,row2V,row3V;
+ float32x4x2_t ra0,ra1,rb0,rb1;
+
+ blkCnt = nColumns >> 2;
+
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + i;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U) /* Column loop */
+ {
+ row0V = vld1q_f32(pIn);
+ row1V = vld1q_f32(pIn + 1 * nColumns);
+ row2V = vld1q_f32(pIn + 2 * nColumns);
+ row3V = vld1q_f32(pIn + 3 * nColumns);
+ pIn += 4;
+
+ ra0 = vzipq_f32(row0V,row2V);
+ ra1 = vzipq_f32(row1V,row3V);
+
+ rb0 = vzipq_f32(ra0.val[0],ra1.val[0]);
+ rb1 = vzipq_f32(ra0.val[1],ra1.val[1]);
+
+ vst1q_f32(px,rb0.val[0]);
+ px += nRows;
+
+ vst1q_f32(px,rb0.val[1]);
+ px += nRows;
+
+ vst1q_f32(px,rb1.val[0]);
+ px += nRows;
+
+ vst1q_f32(px,rb1.val[1]);
+ px += nRows;
+
+ /* Decrement the column loop counter */
+ blkCnt--;
+ }
+
+ /* Perform matrix transpose for last 3 samples here. */
+ blkCnt = nColumns % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read and store the input element in the destination */
+ *px++ = *pIn;
+ *px++ = *(pIn + 1 * nColumns);
+ *px++ = *(pIn + 2 * nColumns);
+ *px++ = *(pIn + 3 * nColumns);
+
+ px += (nRows - 4);
+ pIn++;
+
+ /* Decrement the column loop counter */
+ blkCnt--;
+ }
+
+ i += 4;
+ pIn += 3 * nColumns;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+
+ } /* Row loop end */
+
+ rowCnt = row & 3;
+ while (rowCnt > 0U)
+ {
+ blkCnt = nColumns ;
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + i;
+
+ while (blkCnt > 0U)
+ {
+ /* Read and store the input element in the destination */
+ *px = *pIn++;
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += nRows;
+
+ /* Decrement the column loop counter */
+ blkCnt--;
+ }
+ i++;
+ rowCnt -- ;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer px is set to starting address of column being processed */
+ px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
new file mode 100644
index 0000000..325511f
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
@@ -0,0 +1,348 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_q15.c
+ * Description: Q15 matrix transpose
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Q15 matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+__STATIC_INLINE arm_status arm_mat_trans_16bit_2x2(uint16_t * pDataSrc, uint16_t * pDataDest)
+{
+ pDataDest[0] = pDataSrc[0];
+ pDataDest[3] = pDataSrc[3];
+ pDataDest[2] = pDataSrc[1];
+ pDataDest[1] = pDataSrc[2];
+
+ return (ARM_MATH_SUCCESS);
+}
+
+static arm_status arm_mat_trans_16bit_3x3_mve(uint16_t * pDataSrc, uint16_t * pDataDest)
+{
+ static const uint16_t stridesTr33[8] = { 0, 3, 6, 1, 4, 7, 2, 5 };
+ uint16x8_t vecOffs1;
+ uint16x8_t vecIn1;
+ /*
+ *
+ * | 0 1 2 | | 0 3 6 | 8 x 16 flattened version | 0 3 6 1 4 7 2 5 |
+ * | 3 4 5 | => | 1 4 7 | => | 8 . . . . . . . |
+ * | 6 7 8 | | 2 5 8 | (row major)
+ *
+ */
+ vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr33);
+ vecIn1 = vldrhq_u16((uint16_t const *) pDataSrc);
+
+ vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1);
+
+ pDataDest[8] = pDataSrc[8];
+
+ return (ARM_MATH_SUCCESS);
+}
+
+
+static arm_status arm_mat_trans_16bit_4x4_mve(uint16_t * pDataSrc, uint16_t * pDataDest)
+{
+ static const uint16_t stridesTr44_1[8] = { 0, 4, 8, 12, 1, 5, 9, 13 };
+ static const uint16_t stridesTr44_2[8] = { 2, 6, 10, 14, 3, 7, 11, 15 };
+ uint16x8_t vecOffs1, vecOffs2;
+ uint16x8_t vecIn1, vecIn2;
+ uint16_t const * pDataSrcVec = (uint16_t const *) pDataSrc;
+
+ /*
+ * 4x4 Matrix transposition
+ *
+ * | 0 1 2 3 | | 0 4 8 12 | 8 x 16 flattened version
+ * | 4 5 6 7 | => | 1 5 9 13 | => [0 4 8 12 1 5 9 13]
+ * | 8 9 10 11 | | 2 6 10 14 | [2 6 10 14 3 7 11 15]
+ * | 12 13 14 15 | | 3 7 11 15 |
+ */
+
+ vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr44_1);
+ vecOffs2 = vldrhq_u16((uint16_t const *) stridesTr44_2);
+ vecIn1 = vldrhq_u16(pDataSrcVec);
+ pDataSrcVec += 8;
+ vecIn2 = vldrhq_u16(pDataSrcVec);
+
+ vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1);
+ vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs2, vecIn2);
+
+
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+static arm_status arm_mat_trans_16bit_generic(
+ uint16_t srcRows,
+ uint16_t srcCols,
+ uint16_t * pDataSrc,
+ uint16_t * pDataDest)
+{
+ uint16x8_t vecOffs;
+ uint32_t i;
+ uint32_t blkCnt;
+ uint16_t const *pDataC;
+ uint16_t *pDataDestR;
+ uint16x8_t vecIn;
+
+ vecOffs = vidupq_u16((uint32_t)0, 1);
+ vecOffs = vecOffs * srcCols;
+
+ i = srcCols;
+ while(i > 0U)
+ {
+ pDataC = (uint16_t const *) pDataSrc;
+ pDataDestR = pDataDest;
+
+ blkCnt = srcRows >> 3;
+ while (blkCnt > 0U)
+ {
+ vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs);
+ vstrhq_u16(pDataDestR, vecIn);
+ pDataDestR += 8;
+ pDataC = pDataC + srcCols * 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = srcRows & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs);
+ vstrhq_p_u16(pDataDestR, vecIn, p0);
+ }
+ pDataSrc += 1;
+ pDataDest += srcRows;
+ i--;
+ }
+
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 1)
+ {
+ pDst->pData[0] = pSrc->pData[0];
+ return(ARM_MATH_SUCCESS);
+ }
+ if (pDst->numCols == 2)
+ return arm_mat_trans_16bit_2x2((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_16bit_3x3_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_16bit_4x4_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ }
+
+ arm_mat_trans_16bit_generic(pSrc->numRows, pSrc->numCols, (uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t in; /* variable to hold temporary output */
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer pOut is set to starting address of column being processed */
+ pOut = pDst->pData + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read two elements from row */
+ in = read_q15x2_ia ((q15_t **) &pIn);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) in;
+#else
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *pOut = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Read two elements from row */
+ in = read_q15x2_ia ((q15_t **) &pIn);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) in;
+#else
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *pOut = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *pOut = *pIn++;
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixTrans group
+ */
diff --git a/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
new file mode 100644
index 0000000..9d92abd
--- /dev/null
+++ b/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
@@ -0,0 +1,191 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_q31.c
+ * Description: Q31 matrix transpose
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Q31 matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 2)
+ return arm_mat_trans_32bit_2x2_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_32bit_3x3_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_32bit_4x4_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ }
+
+ arm_mat_trans_32bit_generic_mve(pSrc->numRows, pSrc->numCols, (uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer px is set to starting address of column being processed */
+ px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixTrans group
+ */
diff --git a/CMSIS/DSP/Source/SVMFunctions/CMakeLists.txt b/CMSIS/DSP/Source/SVMFunctions/CMakeLists.txt
new file mode 100755
index 0000000..2a54738
--- /dev/null
+++ b/CMSIS/DSP/Source/SVMFunctions/CMakeLists.txt
@@ -0,0 +1,20 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPSVM)
+
+include(configLib)
+include(configDsp)
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPSVM STATIC ${SRC})
+
+configLib(CMSISDSPSVM ${ROOT})
+configDsp(CMSISDSPSVM ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPSVM PUBLIC "${DSP}/Include")
+
+
+
+
diff --git a/CMSIS/DSP/Source/SVMFunctions/SVMFunctions.c b/CMSIS/DSP/Source/SVMFunctions/SVMFunctions.c
new file mode 100644
index 0000000..85f19b9
--- /dev/null
+++ b/CMSIS/DSP/Source/SVMFunctions/SVMFunctions.c
@@ -0,0 +1,36 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: BayesFunctions.c
+ * Description: Combination of all SVM function source files.
+ *
+ * $Date: 16. March 2020
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_svm_linear_init_f32.c"
+#include "arm_svm_linear_predict_f32.c"
+#include "arm_svm_polynomial_init_f32.c"
+#include "arm_svm_polynomial_predict_f32.c"
+#include "arm_svm_rbf_init_f32.c"
+#include "arm_svm_rbf_predict_f32.c"
+#include "arm_svm_sigmoid_init_f32.c"
+#include "arm_svm_sigmoid_predict_f32.c"
diff --git a/CMSIS/DSP/Source/SVMFunctions/arm_svm_linear_init_f32.c b/CMSIS/DSP/Source/SVMFunctions/arm_svm_linear_init_f32.c
new file mode 100755
index 0000000..bddeafe
--- /dev/null
+++ b/CMSIS/DSP/Source/SVMFunctions/arm_svm_linear_init_f32.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_svm_linear_init_f32.c
+ * Description: SVM Linear Instance Initialization
+ *
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include + Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize; ++ + There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a floating-point vector. + @param[in] pSrc points to the input vector. + @param[in] blockSize number of samples in input vector. + @param[out] pResult mean value returned here. + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + f32x4_t sumVec = vdupq_n_f32(0.0f); + float32_t sum = 0.0f; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_f32(pSrc); + sumVec = vaddq_f32(sumVec, vecSrc); + + blkCnt --; + pSrc += 4; + } + + sum = vecAddAcrossF32Mve(sumVec); + + /* Tail */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum / (float32_t) blockSize; +} + + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* Temporary result storage */ + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + + uint32_t blkCnt; /* Loop counter */ + + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + inV = vld1q_f32(pSrc); + sumV = vaddq_f32(sumV, inV); + + pSrc += 4; + /* Decrement the loop counter */ + blkCnt--; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = sum / (float32_t) blockSize; +} +#else +void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (sum / blockSize); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of mean group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c new file mode 100644 index 0000000..6920869 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c @@ -0,0 +1,156 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q15.c + * Description: Mean value of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult mean value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + The input is represented in 1.15 format and is accumulated in a 32-bit + accumulator in 17.15 format. + There is no risk of internal overflow with this approach, and the + full precision of intermediate result is preserved. + Finally, the accumulator is truncated to yield a result of 1.15 format. + */ + +#if defined(ARM_MATH_MVEI) +void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q31_t sum = 0L; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + /* + * sum lanes + */ + sum = vaddvaq(sum, vecSrc); + + blkCnt--; + pSrc += 8; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q15_t) (sum / (int32_t) blockSize); +} +#else +void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in = read_q15x2_ia ((q15_t **) &pSrc); + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + + in = read_q15x2_ia ((q15_t **) &pSrc); + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (q15_t) (sum / (int32_t) blockSize); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of mean group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c new file mode 100644 index 0000000..2694ef5 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c @@ -0,0 +1,149 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q31.c + * Description: Mean value of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult mean value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.31 format and is accumulated in a 64-bit + accumulator in 33.31 format. + There is no risk of internal overflow with this approach, and the + full precision of intermediate result is preserved. + Finally, the accumulator is truncated to yield a result of 1.31 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q63_t sum = 0LL; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + + vecSrc = vldrwq_s32(pSrc); + /* + * sum lanes + */ + sum = vaddlvaq(sum, vecSrc); + + blkCnt --; + pSrc += 4; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + blkCnt --; + } + + *pResult = arm_div_q63_to_q31(sum, blockSize); +} +#else +void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (q31_t) (sum / blockSize); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of mean group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c new file mode 100644 index 0000000..26879eb --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c @@ -0,0 +1,153 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q7.c + * Description: Mean value of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult mean value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + The input is represented in 1.7 format and is accumulated in a 32-bit + accumulator in 25.7 format. + There is no risk of internal overflow with this approach, and the + full precision of intermediate result is preserved. + Finally, the accumulator is truncated to yield a result of 1.7 format. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q31_t sum = 0L; + + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + vecSrc = vldrbq_s8(pSrc); + /* + * sum lanes + */ + sum = vaddvaq(sum, vecSrc); + + blkCnt--; + pSrc += 16; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q7_t) (sum / (int32_t) blockSize); +} +#else +void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in = read_q7x4_ia ((q7_t **) &pSrc); + sum += ((in << 24U) >> 24U); + sum += ((in << 16U) >> 24U); + sum += ((in << 8U) >> 24U); + sum += (in >> 24U); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (q7_t) (sum / (int32_t) blockSize); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of mean group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c new file mode 100644 index 0000000..28deff2 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c @@ -0,0 +1,363 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_f32.c + * Description: Minimum value of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include
+ Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]; ++ + There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + f32x4_t sumVec = vdupq_n_f32(0.0f); + float32_t sum = 0.0f; + float32_t in; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_f32(pSrc); + /* + * sum lanes + */ + sumVec = vfmaq(sumVec, vecSrc, vecSrc); + + blkCnt --; + pSrc += 4; + } + sum = vecAddAcrossF32Mve(sumVec); + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum; +} +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + inV = vld1q_f32(pSrc); + sumV = vmlaq_f32(sumV, inV, inV); + pSrc += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the result to the destination */ + *pResult = sum; +} +#else +void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result to destination */ + *pResult = sum; +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of power group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c new file mode 100644 index 0000000..c7f9941 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c @@ -0,0 +1,177 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q15.c + * Description: Sum of the squares of the elements of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the return result is in 34.30 format. + */ +#if defined(ARM_MATH_MVEI) + +void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q63_t sum = 0LL; + q15_t in; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + /* + * sum lanes + */ + sum = vmlaldavaq(sum, vecSrc, vecSrc); + + blkCnt --; + pSrc += 8; + } + + /* + * tail + */ + blkCnt = blockSize & 0x7; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q31_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum; +} +#else +void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store packed input value */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); +#else + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q31_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in 34.30 format */ + *pResult = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of power group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c new file mode 100644 index 0000000..4de4c9e --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c @@ -0,0 +1,165 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q31.c + * Description: Sum of the squares of the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.31 format. + Intermediate multiplication yields a 2.62 format, and this + result is truncated to 2.48 format by discarding the lower 14 bits. + The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + With 15 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the return result is in 16.48 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q63_t sum = 0LL; + q31_t in; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_s32(pSrc); + /* + * sum lanes + */ + sum = vrmlaldavhaq(sum, vecSrc, vecSrc); + + blkCnt --; + pSrc += 4; + } + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 8; + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = asrl(sum, 6); +} +#else +void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q31_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and store result in a temporary variable sum, providing 15 guard bits. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store results in 16.48 format */ + *pResult = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of power group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c new file mode 100644 index 0000000..0e1b9da --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c @@ -0,0 +1,180 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q7.c + * Description: Sum of the squares of the elements of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + The input is represented in 1.7 format. + Intermediate multiplication yields a 2.14 format, and this + result is added without saturation to an accumulator in 18.14 format. + With 17 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the return result is in 18.14 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q31_t sum = 0LL; + q7_t in; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + while (blkCnt > 0U) + { + vecSrc = vldrbq_s8(pSrc); + /* + * sum lanes + */ + sum = vmladavaq(sum, vecSrc, vecSrc); + + blkCnt--; + pSrc += 16; + } + + /* + * tail + */ + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q15_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum; +} +#else +void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary result storage */ + q7_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store packed input value */ + q31_t in1, in2; /* Temporary variables to store input value */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q7x4_ia ((q7_t **) &pSrc); + + in1 = __SXTB16(__ROR(in32, 8)); + in2 = __SXTB16(in32); + + /* calculate power and accumulate to accumulator */ + sum = __SMLAD(in1, in1, sum); + sum = __SMLAD(in2, in2, sum); +#else + in = *pSrc++; + sum += ((q15_t) in * in); + + in = *pSrc++; + sum += ((q15_t) in * in); + + in = *pSrc++; + sum += ((q15_t) in * in); + + in = *pSrc++; + sum += ((q15_t) in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q15_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in 18.14 format */ + *pResult = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of power group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c new file mode 100644 index 0000000..7f26aff --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_f32.c + * Description: Root mean square value of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup RMS Root mean square (RMS) + + Calculates the Root Mean Square of the elements in the input vector. + The underlying algorithm is used: + +
+ Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize)); ++ + There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + @addtogroup RMS + @{ + */ + +/** + @brief Root Mean Square of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult root mean square value returned here + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t pow = 0.0f; + + arm_power_f32(pSrc, blockSize, &pow); + + /* Compute Rms and store the result in the destination */ + arm_sqrt_f32(pow / (float32_t) blockSize, pResult); +} +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + inV = vld1q_f32(pSrc); + sumV = vmlaq_f32(sumV, inV, inV); + pSrc += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Rms and store the result in the destination */ + arm_sqrt_f32(sum / (float32_t) blockSize, pResult); +} +#else +void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sum. */ + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable. */ + sum += ( in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Rms and store result in destination */ + arm_sqrt_f32(sum / (float32_t) blockSize, pResult); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of RMS group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c new file mode 100644 index 0000000..8097771 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c @@ -0,0 +1,149 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_q15.c + * Description: Root Mean Square of the elements of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup RMS + @{ + */ + +/** + @brief Root Mean Square of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult root mean square value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + 15 bits, and then saturated to yield a result in 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q63_t pow = 0.0f; + q15_t normalizedPower; + + arm_power_q15(pSrc, blockSize, &pow); + + normalizedPower=__SSAT((pow / (q63_t) blockSize) >> 15,16); + arm_sqrt_q15(normalizedPower, pResult); +} +#else +void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store input value */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute sum of squares and store result in a temporary variable. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); +#else + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable. */ + sum += ((q31_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Truncating and saturating the accumulator to 1.15 format */ + /* Store result in destination */ + arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of RMS group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c new file mode 100644 index 0000000..3c1c692 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c @@ -0,0 +1,141 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_q31.c + * Description: Root Mean Square of the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup RMS + @{ + */ + +/** + @brief Root Mean Square of the elements of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult root mean square value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The input is represented in 1.31 format, and intermediate multiplication + yields a 2.62 format. + The accumulator maintains full precision of the intermediate multiplication results, + but provides only a single guard bit. + There is no saturation on intermediate additions. + If the accumulator overflows, it wraps around and distorts the result. + In order to avoid overflows completely, the input signal must be scaled down by + log2(blockSize) bits, as a total of blockSize additions are performed internally. + Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. + */ +#if defined(ARM_MATH_MVEI) + +void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q63_t pow = 0.0f; + q31_t normalizedPower; + arm_power_q31(pSrc, blockSize, &pow); + + normalizedPower=clip_q63_to_q31((pow / (q63_t) blockSize) >> 17); + arm_sqrt_q31(normalizedPower, pResult); + +} + +#else +void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + uint64_t sum = 0; /* Temporary result storage (can get never negative. changed type from q63 to uint64 */ + q31_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sum. */ + sum += ((q63_t) in * in); + + in = *pSrc++; + sum += ((q63_t) in * in); + + in = *pSrc++; + sum += ((q63_t) in * in); + + in = *pSrc++; + sum += ((q63_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable. */ + sum += ((q63_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */ + /* Compute Rms and store result in destination vector */ + arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of RMS group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c new file mode 100644 index 0000000..b584dcd --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c @@ -0,0 +1,83 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_f32.c + * Description: Standard deviation of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup STD Standard deviation + + Calculates the standard deviation of the elements in the input vector. + + The float implementation is relying on arm_var_f32 which is using a two-pass algorithm + to avoid problem of numerical instabilities and cancellation errors. + + Fixed point versions are using the standard textbook algorithm since the fixed point + numerical behavior is different from the float one. + + Algorithm for fixed point versions is summarized below: + + +
+ Result = sqrt((sumOfSquares - sum2 / blockSize) / (blockSize - 1)) + + sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1] + sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1] ++ + There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + @addtogroup STD + @{ + */ + +/** + @brief Standard deviation of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult standard deviation value returned here + @return none + */ +void arm_std_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t var; + arm_var_f32(pSrc,blockSize,&var); + arm_sqrt_f32(var, pResult); +} + +/** + @} end of STD group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c new file mode 100644 index 0000000..8003f83 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c @@ -0,0 +1,173 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_q15.c + * Description: Standard deviation of an array of Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup STD + @{ + */ + +/** + @brief Standard deviation of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult standard deviation value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + 15 bits, and then saturated to yield a result in 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q15_t var=0; + + arm_var_q15(pSrc, blockSize, &var); + arm_sqrt_q15(var,pResult); +} +#else +void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Accumulator */ + q31_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store input value */ +#endif + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + /* Compute sum and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); +#else + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += (in * in); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t) ((q63_t) sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of squares minus the square of mean. */ + /* Compute standard deviation and store result in destination */ + arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of STD group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c new file mode 100644 index 0000000..190e595 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_q31.c + * Description: Standard deviation of the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup STD + @{ + */ + +/** + @brief Standard deviation of the elements of a Q31 vector. + @param[in] pSrc points to the input vector. + @param[in] blockSize number of samples in input vector. + @param[out] pResult standard deviation value returned here. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The input is represented in 1.31 format, which is then downshifted by 8 bits + which yields 1.23, and intermediate multiplication yields a 2.46 format. + The accumulator maintains full precision of the intermediate multiplication results, + but provides only a 16 guard bits. + There is no saturation on intermediate additions. + If the accumulator overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by + log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. + After division, internal variables should be Q18.46 + Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. + */ +#if defined(ARM_MATH_MVEI) +void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q31_t var=0; + + arm_var_q31(pSrc, blockSize, &var); + arm_sqrt_q31(var, pResult); +} +#else +void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Accumulator */ + q63_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q31_t in; /* Temporary variable to store input value */ + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = ( sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* Compute standard deviation and store result in destination */ + arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15U, pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of STD group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c new file mode 100644 index 0000000..fd39500 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c @@ -0,0 +1,293 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_f32.c + * Description: Variance of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup variance Variance + + Calculates the variance of the elements in the input vector. + The underlying algorithm used is the direct method sometimes referred to as the two-pass method: + +
+ Result = sum(element - meanOfElements)^2) / numElement - 1 + + meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize ++ + There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + @addtogroup variance + @{ + */ + +/** + @brief Variance of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult variance value returned here + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + f32x4_t sumVec = vdupq_n_f32(0.0f); + float32_t fMean; + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + + if (blockSize <= 1U) { + *pResult = 0; + return; + } + + arm_mean_f32(pSrc, blockSize, &fMean); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + + vecSrc = vldrwq_f32(pSrc); + /* + * sum lanes + */ + vecSrc = vsubq(vecSrc, fMean); + sumVec = vfmaq(sumVec, vecSrc, vecSrc); + + blkCnt --; + pSrc += 4; + } + + sum = vecAddAcrossF32Mve(sumVec); + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + in = *pSrc++ - fMean; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = sum / (float32_t) (blockSize - 1); +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t mean; + + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + float32x4_t inV; + float32x4_t avg; + + arm_mean_f32(pSrc,blockSize,&mean); + avg = vdupq_n_f32(mean); + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + inV = vld1q_f32(pSrc); + inV = vsubq_f32(inV, avg); + sumV = vmlaq_f32(sumV, inV, inV); + pSrc += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + in = in - mean; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = sum / (float32_t)(blockSize - 1.0f); + +} + +#else +void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t fSum = 0.0f; + float32_t fMean, fValue; + const float32_t * pInput = pSrc; + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + + sum += *pInput++; + sum += *pInput++; + sum += *pInput++; + sum += *pInput++; + + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + + sum += *pInput++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + fMean = sum / (float32_t) blockSize; + + pInput = pSrc; + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = fSum / (float32_t)(blockSize - 1.0f); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of variance group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c new file mode 100644 index 0000000..c9ddfd1 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c @@ -0,0 +1,230 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_q15.c + * Description: Variance of an array of Q15 type + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup variance + @{ + */ + +/** + @brief Variance of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult variance value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + 15 bits, and then saturated to yield a result in 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q63_t sumOfSquares = 0LL; + q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + q63_t sum = 0LL; + q15_t in; + + if (blockSize <= 1U) { + *pResult = 0; + return; + } + + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + + sumOfSquares = vmlaldavaq(sumOfSquares, vecSrc, vecSrc); + sum = vaddvaq(sum, vecSrc); + + blkCnt --; + pSrc += 8; + } + + /* Tail */ + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ +#if defined (ARM_MATH_DSP) + sumOfSquares = __SMLALD(in, in, sumOfSquares); +#else + sumOfSquares += (in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = arm_div_q63_to_q31(sumOfSquares, (blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = arm_div_q63_to_q31((q63_t)sum * sum, (q31_t)(blockSize * (blockSize - 1U))); + + /* mean of the squares minus the square of the mean. */ + *pResult = (meanOfSquares - squareOfMean) >> 15; +} +#else +void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Accumulator */ + q31_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store input value */ +#endif + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + /* Compute sum and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); +#else + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ +#if defined (ARM_MATH_DSP) + sumOfSquares = __SMLALD(in, in, sumOfSquares); +#else + sumOfSquares += (in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t) ((q63_t) sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of squares minus the square of mean. */ + *pResult = (meanOfSquares - squareOfMean) >> 15U; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of variance group + */ diff --git a/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c b/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c new file mode 100644 index 0000000..0b7d453 --- /dev/null +++ b/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c @@ -0,0 +1,214 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_q31.c + * Description: Variance of an array of Q31 type + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup variance + @{ + */ + +/** + @brief Variance of the elements of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult variance value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The input is represented in 1.31 format, which is then downshifted by 8 bits + which yields 1.23, and intermediate multiplication yields a 2.46 format. + The accumulator maintains full precision of the intermediate multiplication results, + and as a consequence has only 16 guard bits. + There is no saturation on intermediate additions. + If the accumulator overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by + log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. + After division, internal variables should be Q18.46 + Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. + */ +#if defined(ARM_MATH_MVEI) +void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q63_t sumOfSquares = 0LL; + q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + q63_t sum = 0LL; + q31_t in; + + if (blockSize <= 1U) { + *pResult = 0; + return; + } + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_s32(pSrc); + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + + /* downscale */ + vecSrc = vshrq(vecSrc, 8); + sumOfSquares = vmlaldavaq(sumOfSquares, vecSrc, vecSrc); + sum = vaddlvaq(sum, vecSrc); + + blkCnt --; + pSrc += 4; + } + + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / (q63_t) (blockSize - 1U); + + /* Compute square of mean */ + squareOfMean = sum * sum / (q63_t) (blockSize * (blockSize - 1U)); + + /* Compute standard deviation and then store the result to the destination */ + *pResult = asrl(meanOfSquares - squareOfMean, 15U); +} +#else +void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q63_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q31_t in; /* Temporary variable to store input value */ + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = ( sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* Compute variance and store result in destination */ + *pResult = (meanOfSquares - squareOfMean) >> 15U; +} +#endif +/** + @} end of variance group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/CMakeLists.txt b/CMSIS/DSP/Source/SupportFunctions/CMakeLists.txt new file mode 100644 index 0000000..0379721 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPSupport) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPSupport STATIC ${SRC}) + +configLib(CMSISDSPSupport ${ROOT}) +configDsp(CMSISDSPSupport ${ROOT}) + +### Includes +target_include_directories(CMSISDSPSupport PUBLIC "${DSP}/Include") + + + diff --git a/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c b/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c new file mode 100644 index 0000000..9042d8a --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: SupportFunctions.c + * Description: Combination of all support function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_barycenter_f32.c" +#include "arm_bitonic_sort_f32.c" +#include "arm_bubble_sort_f32.c" +#include "arm_copy_f32.c" +#include "arm_copy_q15.c" +#include "arm_copy_q31.c" +#include "arm_copy_q7.c" +#include "arm_fill_f32.c" +#include "arm_fill_q15.c" +#include "arm_fill_q31.c" +#include "arm_fill_q7.c" +#include "arm_heap_sort_f32.c" +#include "arm_insertion_sort_f32.c" +#include "arm_merge_sort_f32.c" +#include "arm_merge_sort_init_f32.c" +#include "arm_quick_sort_f32.c" +#include "arm_selection_sort_f32.c" +#include "arm_sort_f32.c" +#include "arm_sort_init_f32.c" +#include "arm_spline_interp_f32.c" +#include "arm_spline_interp_init_f32.c" +#include "arm_weighted_sum_f32.c" + +#include "arm_float_to_q15.c" +#include "arm_float_to_q31.c" +#include "arm_float_to_q7.c" +#include "arm_q15_to_float.c" +#include "arm_q15_to_q31.c" +#include "arm_q15_to_q7.c" +#include "arm_q31_to_float.c" +#include "arm_q31_to_q15.c" +#include "arm_q31_to_q7.c" +#include "arm_q7_to_float.c" +#include "arm_q7_to_q15.c" +#include "arm_q7_to_q31.c" diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_barycenter_f32.c b/CMSIS/DSP/Source/SupportFunctions/arm_barycenter_f32.c new file mode 100755 index 0000000..68dd8df --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_barycenter_f32.c @@ -0,0 +1,412 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_barycenter_f32.c + * Description: Barycenter + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include
+ pDst[n] = pSrc[n]; 0 <= n < blockSize. ++ + There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a floating-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + vstrwq_f32(pDst, vldrwq_f32(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + inV = vld1q_f32(pSrc); + vst1q_f32(pDst, inV); + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicCopy group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c b/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c new file mode 100644 index 0000000..d99f725 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q15.c + * Description: Copies the elements of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a Q15 vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vstrhq_s16(pDst,vldrhq_s16(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + blkCnt --; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* read 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, read_q15x2_ia ((q15_t **) &pSrc)); + write_q15x2_ia (&pDst, read_q15x2_ia ((q15_t **) &pSrc)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicCopy group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c b/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c new file mode 100644 index 0000000..012113b --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c @@ -0,0 +1,135 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q31.c + * Description: Copies the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a Q31 vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + vstrwq_s32(pDst,vldrwq_s32(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicCopy group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c b/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c new file mode 100644 index 0000000..d56176f --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c @@ -0,0 +1,132 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q7.c + * Description: Copies the elements of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a Q7 vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + + vstrbq_s8(pDst,vldrbq_s8(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + blkCnt --; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* read 4 samples at a time */ + write_q7x4_ia (&pDst, read_q7x4_ia ((q7_t **) &pSrc)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicCopy group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c b/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c new file mode 100644 index 0000000..2c40773 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c @@ -0,0 +1,189 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_f32.c + * Description: Fills a constant value into a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @defgroup Fill Vector Fill + + Fills the destination vector with a constant value. + +
+ pDst[n] = value; 0 <= n < blockSize. ++ + There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a floating-point vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + + vstrwq_f32(pDst,vdupq_n_f32(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + + float32x4_t inV = vdupq_n_f32(value); + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + vst1q_f32(pDst, inV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = value; + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Fill group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c b/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c new file mode 100644 index 0000000..0ffba93 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q15.c + * Description: Fills a constant value into a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a Q15 vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + + vstrhq_s16(pDst,vdupq_n_s16(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 8; + blkCnt --; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t packedValue; /* value packed to 32 bits */ + + /* Packing two 16 bit values to 32 bit value in order to use SIMD */ + packedValue = __PKHBT(value, value, 16U); + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* fill 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, packedValue); + write_q15x2_ia (&pDst, packedValue); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Fill group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c b/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c new file mode 100644 index 0000000..c5200fb --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c @@ -0,0 +1,135 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q31.c + * Description: Fills a constant value into a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a Q31 vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + + vstrwq_s32(pDst,vdupq_n_s32(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Fill group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c b/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c new file mode 100644 index 0000000..4614db5 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c @@ -0,0 +1,133 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q7.c + * Description: Fills a constant value into a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a Q7 vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + + vstrbq_s8(pDst,vdupq_n_s8(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 16; + blkCnt --; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t packedValue; /* value packed to 32 bits */ + + /* Packing four 8 bit values to 32 bit value in order to use SIMD */ + packedValue = __PACKq7(value, value, value, value); + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* fill 4 samples at a time */ + write_q7x4_ia (&pDst, packedValue); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Fill group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c b/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c new file mode 100644 index 0000000..76736d5 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c @@ -0,0 +1,308 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q15.c + * Description: Converts the elements of the floating-point vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + @brief Converts the elements of the floating-point vector to Q15 vector. + @param[in] pSrc points to the floating-point input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q15_t)(pSrc[n] * 32768); 0 <= n < blockSize. ++ + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + + @note + In order to apply rounding, the library should be rebuilt with the ROUNDING macro + defined in the preprocessor section of project options. + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t maxQ = (float32_t) Q15_MAX; + f32x4x2_t tmp; + q15x8_t vecDst; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + tmp = vld2q(pSrc); + + tmp.val[0] = vmulq(tmp.val[0], maxQ); + tmp.val[1] = vmulq(tmp.val[1], maxQ); + + vecDst = vqmovnbq(vecDst, vcvtaq_s32_f32(tmp.val[0])); + vecDst = vqmovntq(vecDst, vcvtaq_s32_f32(tmp.val[1])); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + pDst += 8; + pSrc += 8; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrc++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pSrc++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 32768.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 32768.0f); + float32x4_t r; + uint32x4_t cmp; + float32_t in; + #endif + + int32x4_t cvt; + int16x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + + pIn += 4; + + cvt = vcvtq_n_s32_f32(inV,15); + outV = vqmovn_s32(cvt); + + vst1_s16(pDst, outV); + pDst += 4; + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + + cvt = vcvtq_n_s32_f32(inV,15); + outV = vqmovn_s32(cvt); + + vst1_s16(pDst, outV); + pDst += 4; + pIn += 4; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c b/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c new file mode 100644 index 0000000..a4580f2 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c @@ -0,0 +1,314 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q31.c + * Description: Converts the elements of the floating-point vector to Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup float_to_x Convert 32-bit floating point value + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + @brief Converts the elements of the floating-point vector to Q31 vector. + @param[in] pSrc points to the floating-point input vector + @param[out] pDst points to the Q31 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q31_t)(pSrc[n] * 2147483648); 0 <= n < blockSize. ++ + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated. + + @note + In order to apply rounding, the library should be rebuilt with the ROUNDING macro + defined in the preprocessor section of project options. + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t maxQ = (float32_t) Q31_MAX; + f32x4_t vecDst; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. */ + while (blkCnt > 0U) + { + + vecDst = vldrwq_f32(pSrc); + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + vecDst = vmulq(vecDst, maxQ); + + vstrwq_s32(pDst, vcvtaq_s32_f32(vecDst)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = A * 2147483648 */ + + /* convert from float to Q31 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrc++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pSrc++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +#if defined(ARM_MATH_NEON) +void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32_t in; + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 2147483648.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 2147483648.0f); + float32x4_t r; + uint32x4_t cmp; + #endif + + int32x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 32768 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + + pIn += 4; + + outV = vcvtq_n_s32_f32(inV,31); + + vst1q_s32(pDst, outV); + pDst += 4; + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + + outV = vcvtq_n_s32_f32(inV,31); + + vst1q_s32(pDst, outV); + pDst += 4; + pIn += 4; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + +} +#else +void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 2147483648 */ + + /* convert from float to Q31 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 2147483648 */ + + /* convert from float to Q31 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c b/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c new file mode 100644 index 0000000..80eb294 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c @@ -0,0 +1,330 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q7.c + * Description: Converts the elements of the floating-point vector to Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + *\par Description: + * \par + * The equation used for the conversion process is: + *
+ * pDst[n] = (q7_t)(pSrc[n] * 128); 0 <= n < blockSize. + *+ * \par Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + * \note + * In order to apply rounding, the library should be rebuilt with the ROUNDING macro + * defined in the preprocessor section of project options. + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + float32_t maxQ = powf(2.0, 7); + f32x4x4_t tmp; + q15x8_t evVec, oddVec; + q7x16_t vecDst; + float32_t const *pSrcVec; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + pSrcVec = (float32_t const *) pSrc; + blkCnt = blockSize >> 4; + while (blkCnt > 0U) { + tmp = vld4q(pSrcVec); + pSrcVec += 16; + /* + * C = A * 128.0 + * convert from float to q7 and then store the results in the destination buffer + */ + tmp.val[0] = vmulq(tmp.val[0], maxQ); + tmp.val[1] = vmulq(tmp.val[1], maxQ); + tmp.val[2] = vmulq(tmp.val[2], maxQ); + tmp.val[3] = vmulq(tmp.val[3], maxQ); + + /* + * convert and pack evens + */ + evVec = vqmovnbq(evVec, vcvtaq_s32_f32(tmp.val[0])); + evVec = vqmovntq(evVec, vcvtaq_s32_f32(tmp.val[2])); + /* + * convert and pack odds + */ + oddVec = vqmovnbq(oddVec, vcvtaq_s32_f32(tmp.val[1])); + oddVec = vqmovntq(oddVec, vcvtaq_s32_f32(tmp.val[3])); + /* + * merge + */ + vecDst = vqmovnbq(vecDst, evVec); + vecDst = vqmovntq(vecDst, oddVec); + + vst1q(pDst, vecDst); + pDst += 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = A * 128 */ + + /* Convert from float to q7 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrcVec++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + *pDst++ = (q7_t) __SSAT((q31_t) (*pSrcVec++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#else +#if defined(ARM_MATH_NEON) +void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32_t in; + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 128.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 128.0f); + float32x4_t r; + uint32x4_t cmp; + #endif + + int16x4_t cvt1,cvt2; + int8x8_t outV; + + blkCnt = blockSize >> 3U; + + /* Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + cvt1 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + cvt2 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + outV = vqmovn_s16(vcombine_s16(cvt1,cvt2)); + vst1_s8(pDst, outV); + pDst += 8; + +#else + + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cvt1 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + inV = vld1q_f32(pIn); + cvt2 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + outV = vqmovn_s16(vcombine_s16(cvt1,cvt2)); + + vst1_s8(pDst, outV); + pDst += 8; +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 7; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + +} +#else +void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 128 */ + + /* Convert from float to q7 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 128 */ + + /* Convert from float to q7 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_heap_sort_f32.c b/CMSIS/DSP/Source/SupportFunctions/arm_heap_sort_f32.c new file mode 100644 index 0000000..3fc594a --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_heap_sort_f32.c @@ -0,0 +1,119 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_heap_sort_f32.c + * Description: Floating point heap sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + + + +static void arm_heapify(float32_t * pSrc, uint32_t n, uint32_t i, uint8_t dir) +{ + /* Put all the elements of pSrc in heap order */ + uint32_t k = i; // Initialize largest/smallest as root + uint32_t l = 2*i + 1; // left = 2*i + 1 + uint32_t r = 2*i + 2; // right = 2*i + 2 + float32_t temp; + + if (l < n && dir==(pSrc[l] > pSrc[k]) ) + k = l; + + if (r < n && dir==(pSrc[r] > pSrc[k]) ) + k = r; + + if (k != i) + { + temp = pSrc[i]; + pSrc[i]=pSrc[k]; + pSrc[k]=temp; + + arm_heapify(pSrc, n, k, dir); + } +} + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @private + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * + * @par Algorithm + * The heap sort algorithm is a comparison algorithm that + * divides the input array into a sorted and an unsorted region, + * and shrinks the unsorted region by extracting the largest + * element and moving it to the sorted region. A heap data + * structure is used to find the maximum. + * + * @par It's an in-place algorithm. In order to obtain an out-of-place + * function, a memcpy of the source vector is performed. + */ +void arm_heap_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t * pA; + int32_t i; + float32_t temp; + + if(pSrc != pDst) // out-of-place + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t) ); + pA = pDst; + } + else + pA = pSrc; + + // Build the heap array so that the largest value is the root + for (i = blockSize/2 - 1; i >= 0; i--) + arm_heapify(pA, blockSize, i, S->dir); + + for (i = blockSize - 1; i >= 0; i--) + { + // Swap + temp = pA[i]; + pA[i] = pA[0]; + pA[0] = temp; + + // Restore heap order + arm_heapify(pA, i, 0, S->dir); + } +} +/** + @} end of Sorting group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_insertion_sort_f32.c b/CMSIS/DSP/Source/SupportFunctions/arm_insertion_sort_f32.c new file mode 100644 index 0000000..f253d72 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_insertion_sort_f32.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_insertion_sort_f32.c + * Description: Floating point insertion sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @private + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * + * @par Algorithm + * The insertion sort is a simple sorting algorithm that + * reads all the element of the input array and removes one element + * at a time, finds the location it belongs in the final sorted list, + * and inserts it there. + * + * @par It's an in-place algorithm. In order to obtain an out-of-place + * function, a memcpy of the source vector is performed. + */ + +void arm_insertion_sort_f32( + const arm_sort_instance_f32 * S, + float32_t *pSrc, + float32_t* pDst, + uint32_t blockSize) +{ + float32_t * pA; + uint8_t dir = S->dir; + uint32_t i, j; + float32_t temp; + + if(pSrc != pDst) // out-of-place + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t) ); + pA = pDst; + } + else + pA = pSrc; + + // Real all the element of the input array + for(i=0; i
+ pDst[n] = (float32_t) pSrc[n] / 32768; 0 <= n < blockSize. ++ */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + q15x8_t vecDst; + q15_t const *pSrcVec; + + pSrcVec = (q15_t const *) pSrc; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + vecDst = vldrhq_s32(pSrcVec); + pSrcVec += 4; + vstrwq(pDst, vcvtq_n_f32_s32(vecDst, 15)); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + + /* Convert from q15 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pSrcVec++ / 32768.0f); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q15_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + int16x8_t inV; + int32x4_t inV0, inV1; + float32x4_t outV; + + blkCnt = blockSize >> 3U; + + /* Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + inV = vld1q_s16(pIn); + pIn += 8; + + inV0 = vmovl_s16(vget_low_s16(inV)); + inV1 = vmovl_s16(vget_high_s16(inV)); + + outV = vcvtq_n_f32_s32(inV0,15); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inV1,15); + vst1q_f32(pDst, outV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 8, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 7; + + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q15_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + + /* Convert from q15 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + + /* Convert from q15 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pIn++ / 32768.0f); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of q15_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c b/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c new file mode 100644 index 0000000..a33bcb7 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c @@ -0,0 +1,182 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_q31.c + * Description: Converts the elements of the Q15 vector to Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q15_to_x + @{ + */ + +/** + @brief Converts the elements of the Q15 vector to Q31 vector. + @param[in] pSrc points to the Q15 input vector + @param[out] pDst points to the Q31 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q31_t) pSrc[n] << 16; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEI) +void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; + + q31x4_t vecDst; + + blkCnt = blockSize>> 2; + while (blkCnt > 0U) + { + + /* C = (q31_t)A << 16 */ + /* convert from q15 to q31 and then store the results in the destination buffer */ + /* load q15 + 32-bit widening */ + vecDst = vldrhq_s32((q15_t const *) pSrc); + vecDst = vshlq_n(vecDst, 16); + vstrwq_s32(pDst, vecDst); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + pSrc += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (q31_t) A << 16 */ + + /* Convert from q15 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) *pSrc++ << 16; + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q15_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in1, in2; + q31_t out1, out2, out3, out4; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q31_t)A << 16 */ + + /* Convert from q15 to q31 and store result in destination buffer */ + in1 = read_q15x2_ia ((q15_t **) &pIn); + in2 = read_q15x2_ia ((q15_t **) &pIn); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* extract lower 16 bits to 32 bit result */ + out1 = in1 << 16U; + /* extract upper 16 bits to 32 bit result */ + out2 = in1 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out3 = in2 << 16U; + /* extract upper 16 bits to 32 bit result */ + out4 = in2 & 0xFFFF0000; + +#else + + /* extract upper 16 bits to 32 bit result */ + out1 = in1 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out2 = in1 << 16U; + /* extract upper 16 bits to 32 bit result */ + out3 = in2 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out4 = in2 << 16U; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + *pDst++ = out1; + *pDst++ = out2; + *pDst++ = out3; + *pDst++ = out4; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 16 */ + + /* Convert from q15 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) *pIn++ << 16; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q15_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c b/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c new file mode 100644 index 0000000..023410a --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c @@ -0,0 +1,190 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_q7.c + * Description: Converts the elements of the Q15 vector to Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q15_to_x + @{ + */ + +/** + @brief Converts the elements of the Q15 vector to Q7 vector. + @param[in] pSrc points to the Q15 input vector + @param[out] pDst points to the Q7 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q7_t) pSrc[n] >> 8; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEI) +void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; /* loop counters */ + q15x8x2_t tmp; + q15_t const *pSrcVec; + q7x16_t vecDst; + + + pSrcVec = (q15_t const *) pSrc; + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + /* convert from q15 to q7 and then store the results in the destination buffer */ + tmp = vld2q(pSrcVec); + pSrcVec += 16; + vecDst = vqshrnbq_n_s16(vecDst, tmp.val[0], 8); + vecDst = vqshrntq_n_s16(vecDst, tmp.val[1], 8); + vst1q(pDst, vecDst); + pDst += 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + + /* Convert from q15 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pSrcVec++ >> 8); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q15_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in1, in2; + q31_t out1, out2; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + + /* Convert from q15 to q7 and store result in destination buffer */ +#if defined (ARM_MATH_DSP) + + in1 = read_q15x2_ia ((q15_t **) &pIn); + in2 = read_q15x2_ia ((q15_t **) &pIn); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __PKHTB(in2, in1, 16); + out2 = __PKHBT(in2, in1, 16); + +#else + + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHBT(in1, in2, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* rotate packed value by 24 */ + out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24); + + /* anding with 0xff00ff00 to get two 8 bit values */ + out1 = out1 & 0xFF00FF00; + /* anding with 0x00ff00ff to get two 8 bit values */ + out2 = out2 & 0x00FF00FF; + + /* oring two values(contains two 8 bit values) to get four packed 8 bit values */ + out1 = out1 | out2; + + /* store 4 samples at a time to destiantion buffer */ + write_q7x4_ia (&pDst, out1); + +#else + + *pDst++ = (q7_t) (*pIn++ >> 8); + *pDst++ = (q7_t) (*pIn++ >> 8); + *pDst++ = (q7_t) (*pIn++ >> 8); + *pDst++ = (q7_t) (*pIn++ >> 8); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + + /* Convert from q15 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pIn++ >> 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q15_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c b/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c new file mode 100644 index 0000000..0598b3b --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c @@ -0,0 +1,202 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_float.c + * Description: Converts the elements of the Q31 vector to floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup q31_to_x Convert 32-bit Integer value + */ + +/** + @addtogroup q31_to_x + @{ + */ + +/** + @brief Converts the elements of the Q31 vector to floating-point vector. + @param[in] pSrc points to the Q31 input vector + @param[out] pDst points to the floating-point output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (float32_t) pSrc[n] / 2147483648; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecDst; + q31_t const *pSrcVec; + + pSrcVec = (q31_t const *) pSrc; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* convert from q31 to float and then store the results in the destination buffer */ + vecDst = vld1q(pSrcVec); + pSrcVec += 4; + vstrwq(pDst, vcvtq_n_f32_s32(vecDst, 31)); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + + /* Convert from q31 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pSrcVec++ / 2147483648.0f); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + int32x4_t inV; + float32x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* Convert from q31 to float and then store the results in the destination buffer */ + inV = vld1q_s32(pIn); + pIn += 4; + + outV = vcvtq_n_f32_s32(inV,31); + + vst1q_f32(pDst, outV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* Convert from q31 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + + /* Convert from q31 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + + /* Convert from q31 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of q31_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c b/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c new file mode 100644 index 0000000..b3eeaca --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c @@ -0,0 +1,181 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_q15.c + * Description: Converts the elements of the Q31 vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q31_to_x + @{ + */ + +/** + @brief Converts the elements of the Q31 vector to Q15 vector. + @param[in] pSrc points to the Q31 input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q15_t) pSrc[n] >> 16; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEI) +void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4x2_t tmp; + q15x8_t vecDst; + q31_t const *pSrcVec; + + + pSrcVec = (q31_t const *) pSrc; + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = (q15_t) A >> 16 */ + /* convert from q31 to q15 and then store the results in the destination buffer */ + tmp = vld2q(pSrcVec); + pSrcVec += 8; + vecDst = vshrnbq_n_s32(vecDst, tmp.val[0], 16); + vecDst = vshrntq_n_s32(vecDst, tmp.val[1], 16); + vst1q(pDst, vecDst); + pDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * tail + */ + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = (q15_t) (A >> 16) */ + + /* Convert from q31 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) (*pSrcVec++ >> 16); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q31_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in1, in2, in3, in4; + q31_t out1, out2; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q15_t) (A >> 16) */ + + /* Convert from q31 to q15 and store result in destination buffer */ +#if defined (ARM_MATH_DSP) + + in1 = *pIn++; + in2 = *pIn++; + in3 = *pIn++; + in4 = *pIn++; + + /* pack two higher 16-bit values from two 32-bit values */ +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __PKHTB(in2, in1, 16); + out2 = __PKHTB(in4, in3, 16); +#else + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHTB(in3, in4, 16); +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + write_q15x2_ia (&pDst, out1); + write_q15x2_ia (&pDst, out2); + +#else + + *pDst++ = (q15_t) (*pIn++ >> 16); + *pDst++ = (q15_t) (*pIn++ >> 16); + *pDst++ = (q15_t) (*pIn++ >> 16); + *pDst++ = (q15_t) (*pIn++ >> 16); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q15_t) (A >> 16) */ + + /* Convert from q31 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) (*pIn++ >> 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q31_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c b/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c new file mode 100644 index 0000000..870163e --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c @@ -0,0 +1,169 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_q7.c + * Description: Converts the elements of the Q31 vector to Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q31_to_x + @{ + */ + +/** + @brief Converts the elements of the Q31 vector to Q7 vector. + @param[in] pSrc points to the Q31 input vector + @param[out] pDst points to the Q7 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q7_t) pSrc[n] >> 24; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEI) +void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4x4_t tmp; + q15x8_t evVec, oddVec; + q7x16_t vecDst; + q31_t const *pSrcVec; + + pSrcVec = (q31_t const *) pSrc; + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + tmp = vld4q(pSrcVec); + pSrcVec += 16; + /* C = (q7_t) A >> 24 */ + /* convert from q31 to q7 and then store the results in the destination buffer */ + /* + * narrow and pack evens + */ + evVec = vshrnbq_n_s32(evVec, tmp.val[0], 16); + evVec = vshrntq_n_s32(evVec, tmp.val[2], 16); + /* + * narrow and pack odds + */ + oddVec = vshrnbq_n_s32(oddVec, tmp.val[1], 16); + oddVec = vshrntq_n_s32(oddVec, tmp.val[3], 16); + /* + * narrow & merge + */ + vecDst = vshrnbq_n_s16(vecDst, evVec, 8); + vecDst = vshrntq_n_s16(vecDst, oddVec, 8); + + vst1q(pDst, vecDst); + pDst += 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = (q7_t) (A >> 24) */ + + /* Convert from q31 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pSrcVec++ >> 24); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q31_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + q7_t out1, out2, out3, out4; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q7_t) (A >> 24) */ + + /* Convert from q31 to q7 and store result in destination buffer */ + + out1 = (q7_t) (*pIn++ >> 24); + out2 = (q7_t) (*pIn++ >> 24); + out3 = (q7_t) (*pIn++ >> 24); + out4 = (q7_t) (*pIn++ >> 24); + write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q7_t) (A >> 24) */ + + /* Convert from q31 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pIn++ >> 24); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q31_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c b/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c new file mode 100644 index 0000000..8c844aa --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c @@ -0,0 +1,218 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_float.c + * Description: Converts the elements of the Q7 vector to floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup q7_to_x Convert 8-bit Integer value + */ + +/** + @addtogroup q7_to_x + @{ + */ + +/** + @brief Converts the elements of the Q7 vector to floating-point vector. + @param[in] pSrc points to the Q7 input vector + @param[out] pDst points to the floating-point output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (float32_t) pSrc[n] / 128; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecDst; + q7_t const *pSrcVec; + + pSrcVec = (q7_t const *) pSrc; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q7 to float and then store the results in the destination buffer */ + vecDst = vldrbq_s32(pSrcVec); + pSrcVec += 4; + vstrwq(pDst, vcvtq_n_f32_s32(vecDst, 7)); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + + /* Convert from q7 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pSrcVec++ / 128.0f); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +#if defined(ARM_MATH_NEON) +void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q7_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + int8x16_t inV; + int16x8_t inVLO, inVHI; + int32x4_t inVLL, inVLH, inVHL, inVHH; + float32x4_t outV; + + blkCnt = blockSize >> 4U; + + /* Compute 16 outputs at a time. + ** a second loop below computes the remaining 1 to 15 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + /* Convert from q7 to float and then store the results in the destination buffer */ + inV = vld1q_s8(pIn); + pIn += 16; + + inVLO = vmovl_s8(vget_low_s8(inV)); + inVHI = vmovl_s8(vget_high_s8(inV)); + + inVLL = vmovl_s16(vget_low_s16(inVLO)); + inVLH = vmovl_s16(vget_high_s16(inVLO)); + inVHL = vmovl_s16(vget_low_s16(inVHI)); + inVHH = vmovl_s16(vget_high_s16(inVHI)); + + outV = vcvtq_n_f32_s32(inVLL,7); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inVLH,7); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inVHL,7); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inVHH,7); + vst1q_f32(pDst, outV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 16, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 0xF; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + /* Convert from q7 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q7_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + + /* Convert from q7 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + + /* Convert from q7 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of q7_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c b/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c new file mode 100644 index 0000000..71f392c --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c @@ -0,0 +1,188 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_q15.c + * Description: Converts the elements of the Q7 vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q7_to_x + @{ + */ + +/** + @brief Converts the elements of the Q7 vector to Q15 vector. + @param[in] pSrc points to the Q7 input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q15_t) pSrc[n] << 8; 0 <= n < blockSize. ++ */ + +#if defined(ARM_MATH_MVEI) +void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; /* loop counters */ + q15x8_t vecDst; + q7_t const *pSrcVec; + + + pSrcVec = (q7_t const *) pSrc; + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + /* convert from q7 to q15 and then store the results in the destination buffer */ + /* load q7 + 32-bit widening */ + vecDst = vldrbq_s16(pSrcVec); + pSrcVec += 8; + vecDst = vecDst << 8; + vstrhq(pDst, vecDst); + pDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + + /* Convert from q7 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) * pSrcVec++ << 8; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#else +void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q7_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in; + q31_t in1, in2; + q31_t out1, out2; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + + /* Convert from q7 to q15 and store result in destination buffer */ +#if defined (ARM_MATH_DSP) + + in = read_q7x4_ia ((q7_t **) &pIn); + + /* rotatate in by 8 and extend two q7_t values to q15_t values */ + in1 = __SXTB16(__ROR(in, 8)); + + /* extend remainig two q7_t values to q15_t values */ + in2 = __SXTB16(in); + + in1 = in1 << 8U; + in2 = in2 << 8U; + + in1 = in1 & 0xFF00FF00; + in2 = in2 & 0xFF00FF00; + +#ifndef ARM_MATH_BIG_ENDIAN + out2 = __PKHTB(in1, in2, 16); + out1 = __PKHBT(in2, in1, 16); +#else + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHBT(in2, in1, 16); +#endif + + write_q15x2_ia (&pDst, out1); + write_q15x2_ia (&pDst, out2); + +#else + + *pDst++ = (q15_t) *pIn++ << 8; + *pDst++ = (q15_t) *pIn++ << 8; + *pDst++ = (q15_t) *pIn++ << 8; + *pDst++ = (q15_t) *pIn++ << 8; + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + + /* Convert from q7 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) * pIn++ << 8; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q7_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c b/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c new file mode 100644 index 0000000..69ad0b8 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c @@ -0,0 +1,164 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_q31.c + * Description: Converts the elements of the Q7 vector to Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q7_to_x + @{ + */ + +/** + @brief Converts the elements of the Q7 vector to Q31 vector. + @param[in] pSrc points to the Q7 input vector + @param[out] pDst points to the Q31 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: +
+ pDst[n] = (q31_t) pSrc[n] << 24; 0 <= n < blockSize. ++ */ +#if defined(ARM_MATH_MVEI) +void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecDst; + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + + /* C = (q31_t)A << 16 */ + /* convert from q15 to q31 and then store the results in the destination buffer */ + /* load q15 + 32-bit widening */ + vecDst = vldrbq_s32((q7_t const *) pSrc); + vecDst = vshlq_n(vecDst, 24); + vstrwq_s32(pDst, vecDst); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + pSrc += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + + /* Convert from q7 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) *pSrc++ << 24; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q7_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + q31_t in; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + + /* Convert from q7 to q31 and store result in destination buffer */ + in = read_q7x4_ia ((q7_t **) &pIn); + +#ifndef ARM_MATH_BIG_ENDIAN + + *pDst++ = (__ROR(in, 8)) & 0xFF000000; + *pDst++ = (__ROR(in, 16)) & 0xFF000000; + *pDst++ = (__ROR(in, 24)) & 0xFF000000; + *pDst++ = (in & 0xFF000000); + +#else + + *pDst++ = (in & 0xFF000000); + *pDst++ = (__ROR(in, 24)) & 0xFF000000; + *pDst++ = (__ROR(in, 16)) & 0xFF000000; + *pDst++ = (__ROR(in, 8)) & 0xFF000000; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + + /* Convert from q7 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) * pIn++ << 24; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q7_to_x group + */ diff --git a/CMSIS/DSP/Source/SupportFunctions/arm_quick_sort_f32.c b/CMSIS/DSP/Source/SupportFunctions/arm_quick_sort_f32.c new file mode 100644 index 0000000..7c2fa24 --- /dev/null +++ b/CMSIS/DSP/Source/SupportFunctions/arm_quick_sort_f32.c @@ -0,0 +1,182 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_quick_sort_f32.c + * Description: Floating point quick sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + +static uint32_t arm_quick_sort_partition_f32(float32_t *pSrc, int32_t first, int32_t last, uint8_t dir) +{ + /* This function will be called */ + int32_t i, j, pivot_index; + float32_t pivot; + float32_t temp; + + /* The first element is the pivot */ + pivot_index = first; + pivot = pSrc[pivot_index]; + + /* Initialize indices for do-while loops */ + i = first - 1; + j = last + 1; + + while(i < j) + { + /* The loop will stop as soon as the indices i and j cross each other. + * + * This event will happen surely since the values of the indices are incremented and + * decrement in the do-while loops that are executed at least once. + * It is impossible to loop forever inside the do-while loops since the pivot is + * always an element of the array and the conditions cannot be always true (at least + * the i-th or the j-th element will be equal to the pivot-th element). + * For example, in the extreme case of an ordered array the do-while loop related to i will stop + * at the first iteration (because pSrc[i]=pSrc[pivot] already), and the loop related to j + * will stop after (last-first) iterations (when j=pivot=i=first). j is returned and + * j+1 is going to be used as pivot by other calls of the function, until j=pivot=last. */ + + /* Move indices to the right and to the left */ + if(dir) + { + /* Compare left elements with pivot */ + do + { + i++; + } while (pSrc[i] < pivot && i
+ Si(x) = a_i+b_i(x-xi)+c_i(x-xi)^2+d_i(x-xi)^3 i=1, ..., n-1 ++ + @par Algorithm + + Having defined h(i) = x(i+1) - x(i) + +
+ h(i-1)c(i-1)+2[h(i-1)+h(i)]c(i)+h(i)c(i+1) = 3/h(i)*[a(i+1)-a(i)]-3/h(i-1)*[a(i)-a(i-1)] i=2, ..., n-1 ++ + It is possible to write the previous conditions in matrix form (Ax=B). + In order to solve the system two boundary conidtions are needed. + - Natural spline: S1''(x1)=2*c(1)=0 ; Sn''(xn)=2*c(n)=0 + In matrix form: + +
+ | 1 0 0 ... 0 0 0 || c(1) | | 0 | + | h(0) 2[h(0)+h(1)] h(1) ... 0 0 0 || c(2) | | 3/h(2)*[a(3)-a(2)]-3/h(1)*[a(2)-a(1)] | + | ... ... ... ... ... ... ... || ... |=| ... | + | 0 0 0 ... h(n-2) 2[h(n-2)+h(n-1)] h(n-1) || c(n-1) | | 3/h(n-1)*[a(n)-a(n-1)]-3/h(n-2)*[a(n-1)-a(n-2)] | + | 0 0 0 ... 0 0 1 || c(n) | | 0 | ++ + - Parabolic runout spline: S1''(x1)=2*c(1)=S2''(x2)=2*c(2) ; Sn-1''(xn-1)=2*c(n-1)=Sn''(xn)=2*c(n) + In matrix form: + +
+ | 1 -1 0 ... 0 0 0 || c(1) | | 0 | + | h(0) 2[h(0)+h(1)] h(1) ... 0 0 0 || c(2) | | 3/h(2)*[a(3)-a(2)]-3/h(1)*[a(2)-a(1)] | + | ... ... ... ... ... ... ... || ... |=| ... | + | 0 0 0 ... h(n-2) 2[h(n-2)+h(n-1)] h(n-1) || c(n-1) | | 3/h(n-1)*[a(n)-a(n-1)]-3/h(n-2)*[a(n-1)-a(n-2)] | + | 0 0 0 ... 0 -1 1 || c(n) | | 0 | ++ + A is a tridiagonal matrix (a band matrix of bandwidth 3) of size N=n+1. The factorization + algorithms (A=LU) can be simplified considerably because a large number of zeros appear + in regular patterns. The Crout method has been used: + 1) Solve LZ=B + +
+ u(1,2) = A(1,2)/A(1,1) + z(1) = B(1)/l(11) + + FOR i=2, ..., N-1 + l(i,i) = A(i,i)-A(i,i-1)u(i-1,i) + u(i,i+1) = a(i,i+1)/l(i,i) + z(i) = [B(i)-A(i,i-1)z(i-1)]/l(i,i) + + l(N,N) = A(N,N)-A(N,N-1)u(N-1,N) + z(N) = [B(N)-A(N,N-1)z(N-1)]/l(N,N) ++ + 2) Solve UX=Z + +
+ c(N)=z(N) + + FOR i=N-1, ..., 1 + c(i)=z(i)-u(i,i+1)c(i+1) ++ + c(i) for i=1, ..., n-1 are needed to compute the n-1 polynomials. + b(i) and d(i) are computed as: + - b(i) = [y(i+1)-y(i)]/h(i)-h(i)*[c(i+1)+2*c(i)]/3 + - d(i) = [c(i+1)-c(i)]/[3*h(i)] + Moreover, a(i)=y(i). + + @par Behaviour outside the given intervals + + It is possible to compute the interpolated vector for x values outside the + input range (xq
coeffs will contain the b, c, and d coefficients for the (n-1) intervals
+ (n is the number of known points), hence its size must be 3*(n-1); tempBuffer
+ is temporally used for internal computations and its size is n+n-1.
+
+ @par
+
+ The x input array must be strictly sorted in ascending order and it must
+ not contain twice the same value (x(i)2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+
+
+void arm_cfft_f32(
+ const arm_cfft_instance_f32 * S,
+ float32_t * pSrc,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t fftLen = S->fftLen;
+
+ if (ifftFlag == 1U) {
+
+ switch (fftLen) {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ _arm_radix4_butterfly_inverse_f32_mve(S, pSrc, fftLen, arm_inverse_fft_length_f32(S->fftLen));
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_inverse_f32_mve(S, pSrc, fftLen);
+ break;
+ }
+ } else {
+ switch (fftLen) {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ _arm_radix4_butterfly_f32_mve(S, pSrc, fftLen);
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_f32_mve(S, pSrc, fftLen);
+ break;
+ }
+ }
+
+
+ if (bitReverseFlag)
+ {
+
+ arm_bitreversal_f32_inpl_mve((uint32_t*)pSrc, S->bitRevLength, S->pBitRevTable);
+
+ }
+}
+
+
+#else
+extern void arm_radix8_butterfly_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+ uint32_t * pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t * pBitRevTable);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @defgroup ComplexFFT Complex FFT Functions
+
+ @par
+ The Fast Fourier Transform (FFT) is an efficient algorithm for computing the
+ Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster
+ than the DFT, especially for long lengths.
+ The algorithms described in this section
+ operate on complex data. A separate set of functions is devoted to handling
+ of real sequences.
+ @par
+ There are separate algorithms for handling floating-point, Q15, and Q31 data
+ types. The algorithms available for each data type are described next.
+ @par
+ The FFT functions operate in-place. That is, the array holding the input data
+ will also be used to hold the corresponding result. The input data is complex
+ and contains 2*fftLen interleaved values as shown below.
+ {real[0], imag[0], real[1], imag[1], ...}
+ The FFT result will be contained in the same array and the frequency domain
+ values will have the same interleaving.
+
+ @par Floating-point
+ The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8
+ stages are performed along with a single radix-2 or radix-4 stage, as needed.
+ The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+ a different twiddle factor table.
+ @par
+ The function uses the standard FFT definition and output values may grow by a
+ factor of fftLen when computing the forward transform. The
+ inverse transform includes a scale of 1/fftLen as part of the
+ calculation and this matches the textbook definition of the inverse FFT.
+ @par
+ For the MVE version, the new arm_cfft_init_f32 initialization function is
+ mandatory. Compilation flags are available to include only the required tables for the
+ needed FFTs. Other FFT versions can continue to be initialized as
+ explained below.
+ @par
+ For not MVE versions, pre-initialized data structures containing twiddle factors
+ and bit reversal tables are provided and defined in arm_const_structs.h. Include
+ this header in your function and then pass one of the constant structures as
+ an argument to arm_cfft_f32. For example:
+ @par
+ arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)
+ @par
+ computes a 64-point inverse complex FFT including bit reversal.
+ The data structures are treated as constant data and not modified during the
+ calculation. The same data structure can be reused for multiple transforms
+ including mixing forward and inverse transforms.
+ @par
+ Earlier releases of the library provided separate radix-2 and radix-4
+ algorithms that operated on floating-point data. These functions are still
+ provided but are deprecated. The older functions are slower and less general
+ than the new functions.
+ @par
+ An example of initialization of the constants for the arm_cfft_f32 function follows:
+ @code
+ const static arm_cfft_instance_f32 *S;
+ ...
+ switch (length) {
+ case 16:
+ S = &arm_cfft_sR_f32_len16;
+ break;
+ case 32:
+ S = &arm_cfft_sR_f32_len32;
+ break;
+ case 64:
+ S = &arm_cfft_sR_f32_len64;
+ break;
+ case 128:
+ S = &arm_cfft_sR_f32_len128;
+ break;
+ case 256:
+ S = &arm_cfft_sR_f32_len256;
+ break;
+ case 512:
+ S = &arm_cfft_sR_f32_len512;
+ break;
+ case 1024:
+ S = &arm_cfft_sR_f32_len1024;
+ break;
+ case 2048:
+ S = &arm_cfft_sR_f32_len2048;
+ break;
+ case 4096:
+ S = &arm_cfft_sR_f32_len4096;
+ break;
+ }
+ @endcode
+ @par
+ The new arm_cfft_init_f32 can also be used.
+ @par Q15 and Q31
+ The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-4
+ stages are performed along with a single radix-2 stage, as needed.
+ The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+ a different twiddle factor table.
+ @par
+ The function uses the standard FFT definition and output values may grow by a
+ factor of fftLen when computing the forward transform. The
+ inverse transform includes a scale of 1/fftLen as part of the
+ calculation and this matches the textbook definition of the inverse FFT.
+ @par
+ Pre-initialized data structures containing twiddle factors and bit reversal
+ tables are provided and defined in arm_const_structs.h. Include
+ this header in your function and then pass one of the constant structures as
+ an argument to arm_cfft_q31. For example:
+ @par
+ arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)
+ @par
+ computes a 64-point inverse complex FFT including bit reversal.
+ The data structures are treated as constant data and not modified during the
+ calculation. The same data structure can be reused for multiple transforms
+ including mixing forward and inverse transforms.
+ @par
+ Earlier releases of the library provided separate radix-2 and radix-4
+ algorithms that operated on floating-point data. These functions are still
+ provided but are deprecated. The older functions are slower and less general
+ than the new functions.
+ @par
+ An example of initialization of the constants for the arm_cfft_q31 function follows:
+ @code
+ const static arm_cfft_instance_q31 *S;
+ ...
+ switch (length) {
+ case 16:
+ S = &arm_cfft_sR_q31_len16;
+ break;
+ case 32:
+ S = &arm_cfft_sR_q31_len32;
+ break;
+ case 64:
+ S = &arm_cfft_sR_q31_len64;
+ break;
+ case 128:
+ S = &arm_cfft_sR_q31_len128;
+ break;
+ case 256:
+ S = &arm_cfft_sR_q31_len256;
+ break;
+ case 512:
+ S = &arm_cfft_sR_q31_len512;
+ break;
+ case 1024:
+ S = &arm_cfft_sR_q31_len1024;
+ break;
+ case 2048:
+ S = &arm_cfft_sR_q31_len2048;
+ break;
+ case 4096:
+ S = &arm_cfft_sR_q31_len4096;
+ break;
+ }
+ @endcode
+
+ */
+
+void arm_cfft_radix8by2_f32 (arm_cfft_instance_f32 * S, float32_t * p1)
+{
+ uint32_t L = S->fftLen;
+ float32_t * pCol1, * pCol2, * pMid1, * pMid2;
+ float32_t * p2 = p1 + L;
+ const float32_t * tw = (float32_t *) S->pTwiddle;
+ float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
+ float32_t m0, m1, m2, m3;
+ uint32_t l;
+
+ pCol1 = p1;
+ pCol2 = p2;
+
+ /* Define new length */
+ L >>= 1;
+
+ /* Initialize mid pointers */
+ pMid1 = p1 + L;
+ pMid2 = p2 + L;
+
+ /* do two dot Fourier transform */
+ for (l = L >> 2; l > 0; l-- )
+ {
+ t1[0] = p1[0];
+ t1[1] = p1[1];
+ t1[2] = p1[2];
+ t1[3] = p1[3];
+
+ t2[0] = p2[0];
+ t2[1] = p2[1];
+ t2[2] = p2[2];
+ t2[3] = p2[3];
+
+ t3[0] = pMid1[0];
+ t3[1] = pMid1[1];
+ t3[2] = pMid1[2];
+ t3[3] = pMid1[3];
+
+ t4[0] = pMid2[0];
+ t4[1] = pMid2[1];
+ t4[2] = pMid2[2];
+ t4[3] = pMid2[3];
+
+ *p1++ = t1[0] + t2[0];
+ *p1++ = t1[1] + t2[1];
+ *p1++ = t1[2] + t2[2];
+ *p1++ = t1[3] + t2[3]; /* col 1 */
+
+ t2[0] = t1[0] - t2[0];
+ t2[1] = t1[1] - t2[1];
+ t2[2] = t1[2] - t2[2];
+ t2[3] = t1[3] - t2[3]; /* for col 2 */
+
+ *pMid1++ = t3[0] + t4[0];
+ *pMid1++ = t3[1] + t4[1];
+ *pMid1++ = t3[2] + t4[2];
+ *pMid1++ = t3[3] + t4[3]; /* col 1 */
+
+ t4[0] = t4[0] - t3[0];
+ t4[1] = t4[1] - t3[1];
+ t4[2] = t4[2] - t3[2];
+ t4[3] = t4[3] - t3[3]; /* for col 2 */
+
+ twR = *tw++;
+ twI = *tw++;
+
+ /* multiply by twiddle factors */
+ m0 = t2[0] * twR;
+ m1 = t2[1] * twI;
+ m2 = t2[1] * twR;
+ m3 = t2[0] * twI;
+
+ /* R = R * Tr - I * Ti */
+ *p2++ = m0 + m1;
+ /* I = I * Tr + R * Ti */
+ *p2++ = m2 - m3;
+
+ /* use vertical symmetry */
+ /* 0.9988 - 0.0491i <==> -0.0491 - 0.9988i */
+ m0 = t4[0] * twI;
+ m1 = t4[1] * twR;
+ m2 = t4[1] * twI;
+ m3 = t4[0] * twR;
+
+ *pMid2++ = m0 - m1;
+ *pMid2++ = m2 + m3;
+
+ twR = *tw++;
+ twI = *tw++;
+
+ m0 = t2[2] * twR;
+ m1 = t2[3] * twI;
+ m2 = t2[3] * twR;
+ m3 = t2[2] * twI;
+
+ *p2++ = m0 + m1;
+ *p2++ = m2 - m3;
+
+ m0 = t4[2] * twI;
+ m1 = t4[3] * twR;
+ m2 = t4[3] * twI;
+ m3 = t4[2] * twR;
+
+ *pMid2++ = m0 - m1;
+ *pMid2++ = m2 + m3;
+ }
+
+ /* first col */
+ arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 2U);
+
+ /* second col */
+ arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 2U);
+}
+
+void arm_cfft_radix8by4_f32 (arm_cfft_instance_f32 * S, float32_t * p1)
+{
+ uint32_t L = S->fftLen >> 1;
+ float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
+ const float32_t *tw2, *tw3, *tw4;
+ float32_t * p2 = p1 + L;
+ float32_t * p3 = p2 + L;
+ float32_t * p4 = p3 + L;
+ float32_t t2[4], t3[4], t4[4], twR, twI;
+ float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
+ float32_t m0, m1, m2, m3;
+ uint32_t l, twMod2, twMod3, twMod4;
+
+ pCol1 = p1; /* points to real values by default */
+ pCol2 = p2;
+ pCol3 = p3;
+ pCol4 = p4;
+ pEnd1 = p2 - 1; /* points to imaginary values by default */
+ pEnd2 = p3 - 1;
+ pEnd3 = p4 - 1;
+ pEnd4 = pEnd3 + L;
+
+ tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
+
+ L >>= 1;
+
+ /* do four dot Fourier transform */
+
+ twMod2 = 2;
+ twMod3 = 4;
+ twMod4 = 6;
+
+ /* TOP */
+ p1ap3_0 = p1[0] + p3[0];
+ p1sp3_0 = p1[0] - p3[0];
+ p1ap3_1 = p1[1] + p3[1];
+ p1sp3_1 = p1[1] - p3[1];
+
+ /* col 2 */
+ t2[0] = p1sp3_0 + p2[1] - p4[1];
+ t2[1] = p1sp3_1 - p2[0] + p4[0];
+ /* col 3 */
+ t3[0] = p1ap3_0 - p2[0] - p4[0];
+ t3[1] = p1ap3_1 - p2[1] - p4[1];
+ /* col 4 */
+ t4[0] = p1sp3_0 - p2[1] + p4[1];
+ t4[1] = p1sp3_1 + p2[0] - p4[0];
+ /* col 1 */
+ *p1++ = p1ap3_0 + p2[0] + p4[0];
+ *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+ /* Twiddle factors are ones */
+ *p2++ = t2[0];
+ *p2++ = t2[1];
+ *p3++ = t3[0];
+ *p3++ = t3[1];
+ *p4++ = t4[0];
+ *p4++ = t4[1];
+
+ tw2 += twMod2;
+ tw3 += twMod3;
+ tw4 += twMod4;
+
+ for (l = (L - 2) >> 1; l > 0; l-- )
+ {
+ /* TOP */
+ p1ap3_0 = p1[0] + p3[0];
+ p1sp3_0 = p1[0] - p3[0];
+ p1ap3_1 = p1[1] + p3[1];
+ p1sp3_1 = p1[1] - p3[1];
+ /* col 2 */
+ t2[0] = p1sp3_0 + p2[1] - p4[1];
+ t2[1] = p1sp3_1 - p2[0] + p4[0];
+ /* col 3 */
+ t3[0] = p1ap3_0 - p2[0] - p4[0];
+ t3[1] = p1ap3_1 - p2[1] - p4[1];
+ /* col 4 */
+ t4[0] = p1sp3_0 - p2[1] + p4[1];
+ t4[1] = p1sp3_1 + p2[0] - p4[0];
+ /* col 1 - top */
+ *p1++ = p1ap3_0 + p2[0] + p4[0];
+ *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+ /* BOTTOM */
+ p1ap3_1 = pEnd1[-1] + pEnd3[-1];
+ p1sp3_1 = pEnd1[-1] - pEnd3[-1];
+ p1ap3_0 = pEnd1[ 0] + pEnd3[0];
+ p1sp3_0 = pEnd1[ 0] - pEnd3[0];
+ /* col 2 */
+ t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1;
+ t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
+ /* col 3 */
+ t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
+ t3[3] = p1ap3_0 - pEnd2[ 0] - pEnd4[ 0];
+ /* col 4 */
+ t4[2] = pEnd2[ 0] - pEnd4[ 0] - p1sp3_1;
+ t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
+ /* col 1 - Bottom */
+ *pEnd1-- = p1ap3_0 + pEnd2[ 0] + pEnd4[ 0];
+ *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
+
+ /* COL 2 */
+ /* read twiddle factors */
+ twR = *tw2++;
+ twI = *tw2++;
+ /* multiply by twiddle factors */
+ /* let Z1 = a + i(b), Z2 = c + i(d) */
+ /* => Z1 * Z2 = (a*c - b*d) + i(b*c + a*d) */
+
+ /* Top */
+ m0 = t2[0] * twR;
+ m1 = t2[1] * twI;
+ m2 = t2[1] * twR;
+ m3 = t2[0] * twI;
+
+ *p2++ = m0 + m1;
+ *p2++ = m2 - m3;
+ /* use vertical symmetry col 2 */
+ /* 0.9997 - 0.0245i <==> 0.0245 - 0.9997i */
+ /* Bottom */
+ m0 = t2[3] * twI;
+ m1 = t2[2] * twR;
+ m2 = t2[2] * twI;
+ m3 = t2[3] * twR;
+
+ *pEnd2-- = m0 - m1;
+ *pEnd2-- = m2 + m3;
+
+ /* COL 3 */
+ twR = tw3[0];
+ twI = tw3[1];
+ tw3 += twMod3;
+ /* Top */
+ m0 = t3[0] * twR;
+ m1 = t3[1] * twI;
+ m2 = t3[1] * twR;
+ m3 = t3[0] * twI;
+
+ *p3++ = m0 + m1;
+ *p3++ = m2 - m3;
+ /* use vertical symmetry col 3 */
+ /* 0.9988 - 0.0491i <==> -0.9988 - 0.0491i */
+ /* Bottom */
+ m0 = -t3[3] * twR;
+ m1 = t3[2] * twI;
+ m2 = t3[2] * twR;
+ m3 = t3[3] * twI;
+
+ *pEnd3-- = m0 - m1;
+ *pEnd3-- = m3 - m2;
+
+ /* COL 4 */
+ twR = tw4[0];
+ twI = tw4[1];
+ tw4 += twMod4;
+ /* Top */
+ m0 = t4[0] * twR;
+ m1 = t4[1] * twI;
+ m2 = t4[1] * twR;
+ m3 = t4[0] * twI;
+
+ *p4++ = m0 + m1;
+ *p4++ = m2 - m3;
+ /* use vertical symmetry col 4 */
+ /* 0.9973 - 0.0736i <==> -0.0736 + 0.9973i */
+ /* Bottom */
+ m0 = t4[3] * twI;
+ m1 = t4[2] * twR;
+ m2 = t4[2] * twI;
+ m3 = t4[3] * twR;
+
+ *pEnd4-- = m0 - m1;
+ *pEnd4-- = m2 + m3;
+ }
+
+ /* MIDDLE */
+ /* Twiddle factors are */
+ /* 1.0000 0.7071-0.7071i -1.0000i -0.7071-0.7071i */
+ p1ap3_0 = p1[0] + p3[0];
+ p1sp3_0 = p1[0] - p3[0];
+ p1ap3_1 = p1[1] + p3[1];
+ p1sp3_1 = p1[1] - p3[1];
+
+ /* col 2 */
+ t2[0] = p1sp3_0 + p2[1] - p4[1];
+ t2[1] = p1sp3_1 - p2[0] + p4[0];
+ /* col 3 */
+ t3[0] = p1ap3_0 - p2[0] - p4[0];
+ t3[1] = p1ap3_1 - p2[1] - p4[1];
+ /* col 4 */
+ t4[0] = p1sp3_0 - p2[1] + p4[1];
+ t4[1] = p1sp3_1 + p2[0] - p4[0];
+ /* col 1 - Top */
+ *p1++ = p1ap3_0 + p2[0] + p4[0];
+ *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+ /* COL 2 */
+ twR = tw2[0];
+ twI = tw2[1];
+
+ m0 = t2[0] * twR;
+ m1 = t2[1] * twI;
+ m2 = t2[1] * twR;
+ m3 = t2[0] * twI;
+
+ *p2++ = m0 + m1;
+ *p2++ = m2 - m3;
+ /* COL 3 */
+ twR = tw3[0];
+ twI = tw3[1];
+
+ m0 = t3[0] * twR;
+ m1 = t3[1] * twI;
+ m2 = t3[1] * twR;
+ m3 = t3[0] * twI;
+
+ *p3++ = m0 + m1;
+ *p3++ = m2 - m3;
+ /* COL 4 */
+ twR = tw4[0];
+ twI = tw4[1];
+
+ m0 = t4[0] * twR;
+ m1 = t4[1] * twI;
+ m2 = t4[1] * twR;
+ m3 = t4[0] * twI;
+
+ *p4++ = m0 + m1;
+ *p4++ = m2 - m3;
+
+ /* first col */
+ arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 4U);
+
+ /* second col */
+ arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 4U);
+
+ /* third col */
+ arm_radix8_butterfly_f32 (pCol3, L, (float32_t *) S->pTwiddle, 4U);
+
+ /* fourth col */
+ arm_radix8_butterfly_f32 (pCol4, L, (float32_t *) S->pTwiddle, 4U);
+}
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point complex FFT.
+ @param[in] S points to an instance of the floating-point CFFT structure
+ @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+
+void arm_cfft_f32(
+ const arm_cfft_instance_f32 * S,
+ float32_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t L = S->fftLen, l;
+ float32_t invL, * pSrc;
+
+ if (ifftFlag == 1U)
+ {
+ /* Conjugate input data */
+ pSrc = p1 + 1;
+ for (l = 0; l < L; l++)
+ {
+ *pSrc = -*pSrc;
+ pSrc += 2;
+ }
+ }
+
+ switch (L)
+ {
+ case 16:
+ case 128:
+ case 1024:
+ arm_cfft_radix8by2_f32 ( (arm_cfft_instance_f32 *) S, p1);
+ break;
+ case 32:
+ case 256:
+ case 2048:
+ arm_cfft_radix8by4_f32 ( (arm_cfft_instance_f32 *) S, p1);
+ break;
+ case 64:
+ case 512:
+ case 4096:
+ arm_radix8_butterfly_f32 ( p1, L, (float32_t *) S->pTwiddle, 1);
+ break;
+ }
+
+ if ( bitReverseFlag )
+ arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable);
+
+ if (ifftFlag == 1U)
+ {
+ invL = 1.0f / (float32_t)L;
+
+ /* Conjugate and scale output data */
+ pSrc = p1;
+ for (l= 0; l < L; l++)
+ {
+ *pSrc++ *= invL ;
+ *pSrc = -(*pSrc) * invL;
+ pSrc++;
+ }
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f64.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f64.c
new file mode 100644
index 0000000..8c6d3e6
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f64.c
@@ -0,0 +1,318 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_f64.c
+ * Description: Combined Radix Decimation in Frequency CFFT Double Precision Floating point processing function
+ *
+ * $Date: 29. November 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+
+extern void arm_radix4_butterfly_f64(
+ float64_t * pSrc,
+ uint16_t fftLen,
+ const float64_t * pCoef,
+ uint16_t twidCoefModifier);
+
+extern void arm_bitreversal_64(
+ uint64_t * pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t * pBitRevTable);
+
+/**
+* @} end of ComplexFFT group
+*/
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * ---------------------------------------------------------------------- */
+
+/*
+* @brief Core function for the Double Precision floating-point CFFT butterfly process.
+* @param[in, out] *pSrc points to the in-place buffer of F64 data type.
+* @param[in] fftLen length of the FFT.
+* @param[in] *pCoef points to the twiddle coefficient buffer.
+* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+* @return none.
+*/
+
+void arm_radix4_butterfly_f64(
+ float64_t * pSrc,
+ uint16_t fftLen,
+ const float64_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+
+ float64_t co1, co2, co3, si1, si2, si3;
+ uint32_t ia1, ia2, ia3;
+ uint32_t i0, i1, i2, i3;
+ uint32_t n1, n2, j, k;
+
+ float64_t t1, t2, r1, r2, s1, s2;
+
+
+ /* Initializations for the fft calculation */
+ n2 = fftLen;
+ n1 = n2;
+ for (k = fftLen; k > 1U; k >>= 2U)
+ {
+ /* Initializations for the fft calculation */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ /* FFT Calculation */
+ j = 0;
+ do
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ i0 = j;
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* xa + xc */
+ r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
+
+ /* xa - xc */
+ r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
+
+ /* ya + yc */
+ s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+ /* ya - yc */
+ s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+ /* xb + xd */
+ t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = r1 + t1;
+
+ /* xa + xc -(xb + xd) */
+ r1 = r1 - t1;
+
+ /* yb + yd */
+ t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = s1 + t2;
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* (yb - yd) */
+ t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+ /* (xb - xd) */
+ t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+ /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (r1 * co2) + (s1 * si2);
+
+ /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2);
+
+ /* (xa - xc) + (yb - yd) */
+ r1 = r2 + t1;
+
+ /* (xa - xc) - (yb - yd) */
+ r2 = r2 - t1;
+
+ /* (ya - yc) - (xb - xd) */
+ s1 = s2 - t2;
+
+ /* (ya - yc) + (xb - xd) */
+ s2 = s2 + t2;
+
+ /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (r1 * co1) + (s1 * si1);
+
+ /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1);
+
+ /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = (r2 * co3) + (s2 * si3);
+
+ /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3);
+
+ i0 += n1;
+ } while ( i0 < fftLen);
+ j++;
+ } while (j <= (n2 - 1U));
+ twidCoefModifier <<= 2U;
+ }
+}
+
+/*
+* @brief Core function for the Double Precision floating-point CFFT butterfly process.
+* @param[in, out] *pSrc points to the in-place buffer of F64 data type.
+* @param[in] fftLen length of the FFT.
+* @param[in] *pCoef points to the twiddle coefficient buffer.
+* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+* @return none.
+*/
+
+void arm_cfft_radix4by2_f64(
+ float64_t * pSrc,
+ uint32_t fftLen,
+ const float64_t * pCoef)
+{
+ uint32_t i, l;
+ uint32_t n2, ia;
+ float64_t xt, yt, cosVal, sinVal;
+ float64_t p0, p1,p2,p3,a0,a1;
+
+ n2 = fftLen >> 1;
+ ia = 0;
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[2*ia];
+ sinVal = pCoef[2*ia + 1];
+ ia++;
+
+ l = i + n2;
+
+ /* Butterfly implementation */
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ }
+
+ // first col
+ arm_radix4_butterfly_f64( pSrc, n2, (float64_t*)pCoef, 2U);
+ // second col
+ arm_radix4_butterfly_f64( pSrc + fftLen, n2, (float64_t*)pCoef, 2U);
+
+}
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the Double Precision floating-point complex FFT.
+ @param[in] S points to an instance of the Double Precision floating-point CFFT structure
+ @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+
+void arm_cfft_f64(
+ const arm_cfft_instance_f64 * S,
+ float64_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t L = S->fftLen, l;
+ float64_t invL, * pSrc;
+
+ if (ifftFlag == 1U)
+ {
+ /* Conjugate input data */
+ pSrc = p1 + 1;
+ for(l=0; l2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+void arm_cfft_q15(
+ const arm_cfft_instance_q15 * S,
+ q15_t * pSrc,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t fftLen = S->fftLen;
+
+ if (ifftFlag == 1U) {
+
+ switch (fftLen) {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ _arm_radix4_butterfly_inverse_q15_mve(S, pSrc, fftLen);
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_inverse_q15_mve(S, pSrc, fftLen);
+ break;
+ }
+ } else {
+ switch (fftLen) {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ _arm_radix4_butterfly_q15_mve(S, pSrc, fftLen);
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_q15_mve(S, pSrc, fftLen);
+ break;
+ }
+ }
+
+
+ if (bitReverseFlag)
+ {
+
+ arm_bitreversal_16_inpl_mve((uint16_t*)pSrc, S->bitRevLength, S->pBitRevTable);
+
+ }
+}
+
+#else
+
+extern void arm_radix4_butterfly_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef,
+ uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef,
+ uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_16(
+ uint16_t * pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t * pBitRevTable);
+
+void arm_cfft_radix4by2_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef);
+
+void arm_cfft_radix4by2_inverse_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 complex FFT.
+ @param[in] S points to an instance of Q15 CFFT structure
+ @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+
+void arm_cfft_q15(
+ const arm_cfft_instance_q15 * S,
+ q15_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t L = S->fftLen;
+
+ if (ifftFlag == 1U)
+ {
+ switch (L)
+ {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle );
+ break;
+ }
+ }
+ else
+ {
+ switch (L)
+ {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle );
+ break;
+ }
+ }
+
+ if ( bitReverseFlag )
+ arm_bitreversal_16 ((uint16_t*) p1, S->bitRevLength, S->pBitRevTable);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+void arm_cfft_radix4by2_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef)
+{
+ uint32_t i;
+ uint32_t n2;
+ q15_t p0, p1, p2, p3;
+#if defined (ARM_MATH_DSP)
+ q31_t T, S, R;
+ q31_t coeff, out1, out2;
+ const q15_t *pC = pCoef;
+ q15_t *pSi = pSrc;
+ q15_t *pSl = pSrc + fftLen;
+#else
+ uint32_t l;
+ q15_t xt, yt, cosVal, sinVal;
+#endif
+
+ n2 = fftLen >> 1U;
+
+#if defined (ARM_MATH_DSP)
+
+ for (i = n2; i > 0; i--)
+ {
+ coeff = read_q15x2_ia ((q15_t **) &pC);
+
+ T = read_q15x2 (pSi);
+ T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+ S = read_q15x2 (pSl);
+ S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+ R = __QSUB16(T, S);
+
+ write_q15x2_ia (&pSi, __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUAD(coeff, R) >> 16U;
+ out2 = __SMUSDX(coeff, R);
+#else
+ out1 = __SMUSDX(R, coeff) >> 16U;
+ out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[2 * i];
+ sinVal = pCoef[2 * i + 1];
+
+ l = i + n2;
+
+ xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+ yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+ pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+ pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) +
+ ((int16_t) (((q31_t) yt * sinVal) >> 16U)) );
+
+ pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) -
+ ((int16_t) (((q31_t) xt * sinVal) >> 16U)) );
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* first col */
+ arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2U);
+
+ /* second col */
+ arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U);
+
+ n2 = fftLen >> 1U;
+ for (i = 0; i < n2; i++)
+ {
+ p0 = pSrc[4 * i + 0];
+ p1 = pSrc[4 * i + 1];
+ p2 = pSrc[4 * i + 2];
+ p3 = pSrc[4 * i + 3];
+
+ p0 <<= 1U;
+ p1 <<= 1U;
+ p2 <<= 1U;
+ p3 <<= 1U;
+
+ pSrc[4 * i + 0] = p0;
+ pSrc[4 * i + 1] = p1;
+ pSrc[4 * i + 2] = p2;
+ pSrc[4 * i + 3] = p3;
+ }
+
+}
+
+void arm_cfft_radix4by2_inverse_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef)
+{
+ uint32_t i;
+ uint32_t n2;
+ q15_t p0, p1, p2, p3;
+#if defined (ARM_MATH_DSP)
+ q31_t T, S, R;
+ q31_t coeff, out1, out2;
+ const q15_t *pC = pCoef;
+ q15_t *pSi = pSrc;
+ q15_t *pSl = pSrc + fftLen;
+#else
+ uint32_t l;
+ q15_t xt, yt, cosVal, sinVal;
+#endif
+
+ n2 = fftLen >> 1U;
+
+#if defined (ARM_MATH_DSP)
+
+ for (i = n2; i > 0; i--)
+ {
+ coeff = read_q15x2_ia ((q15_t **) &pC);
+
+ T = read_q15x2 (pSi);
+ T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+ S = read_q15x2 (pSl);
+ S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+ R = __QSUB16(T, S);
+
+ write_q15x2_ia (&pSi, __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUSD(coeff, R) >> 16U;
+ out2 = __SMUADX(coeff, R);
+#else
+ out1 = __SMUADX(R, coeff) >> 16U;
+ out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[2 * i];
+ sinVal = pCoef[2 * i + 1];
+
+ l = i + n2;
+
+ xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+ yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+ pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+ pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) -
+ ((int16_t) (((q31_t) yt * sinVal) >> 16U)) );
+
+ pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) +
+ ((int16_t) (((q31_t) xt * sinVal) >> 16U)) );
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* first col */
+ arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2U);
+
+ /* second col */
+ arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U);
+
+ n2 = fftLen >> 1U;
+ for (i = 0; i < n2; i++)
+ {
+ p0 = pSrc[4 * i + 0];
+ p1 = pSrc[4 * i + 1];
+ p2 = pSrc[4 * i + 2];
+ p3 = pSrc[4 * i + 3];
+
+ p0 <<= 1U;
+ p1 <<= 1U;
+ p2 <<= 1U;
+ p3 <<= 1U;
+
+ pSrc[4 * i + 0] = p0;
+ pSrc[4 * i + 1] = p1;
+ pSrc[4 * i + 2] = p2;
+ pSrc[4 * i + 3] = p3;
+ }
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c
new file mode 100644
index 0000000..f8a46bd
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c
@@ -0,0 +1,876 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_q31.c
+ * Description: Combined Radix Decimation in Frequency CFFT fixed point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+
+
+#if defined(ARM_MATH_MVEI)
+
+#include "arm_vec_fft.h"
+
+static void arm_bitreversal_32_inpl_mve(
+ uint32_t *pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t *pBitRevTab)
+
+{
+ uint64_t *src = (uint64_t *) pSrc;
+ uint32_t blkCnt; /* loop counters */
+ uint32x4_t bitRevTabOff;
+ uint32x4_t one = vdupq_n_u32(1);
+
+ blkCnt = (bitRevLen / 2) / 2;
+ while (blkCnt > 0U) {
+ bitRevTabOff = vldrhq_u32(pBitRevTab);
+ pBitRevTab += 4;
+
+ uint64x2_t bitRevOff1 = vmullbq_int_u32(bitRevTabOff, one);
+ uint64x2_t bitRevOff2 = vmulltq_int_u32(bitRevTabOff, one);
+
+ uint64x2_t in1 = vldrdq_gather_offset_u64(src, bitRevOff1);
+ uint64x2_t in2 = vldrdq_gather_offset_u64(src, bitRevOff2);
+
+ vstrdq_scatter_offset_u64(src, bitRevOff1, in2);
+ vstrdq_scatter_offset_u64(src, bitRevOff2, in1);
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+}
+
+static void _arm_radix4_butterfly_q31_mve(
+ const arm_cfft_instance_q31 * S,
+ q31_t *pSrc,
+ uint32_t fftLen)
+{
+ q31x4_t vecTmp0, vecTmp1;
+ q31x4_t vecSum0, vecDiff0, vecSum1, vecDiff1;
+ q31x4_t vecA, vecB, vecC, vecD;
+ q31x4_t vecW;
+ uint32_t blkCnt;
+ uint32_t n1, n2;
+ uint32_t stage = 0;
+ int32_t iter = 1;
+ static const uint32_t strides[4] = {
+ (0 - 16) * sizeof(q31_t *), (1 - 16) * sizeof(q31_t *),
+ (8 - 16) * sizeof(q31_t *), (9 - 16) * sizeof(q31_t *)
+ };
+
+
+ /*
+ * Process first stages
+ * Each stage in middle stages provides two down scaling of the input
+ */
+ n2 = fftLen;
+ n1 = n2;
+ n2 >>= 2u;
+
+ for (int k = fftLen / 4u; k > 1; k >>= 2u)
+ {
+ for (int i = 0; i < iter; i++)
+ {
+ q31_t const *p_rearranged_twiddle_tab_stride2 =
+ &S->rearranged_twiddle_stride2[
+ S->rearranged_twiddle_tab_stride2_arr[stage]];
+ q31_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[
+ S->rearranged_twiddle_tab_stride3_arr[stage]];
+ q31_t const *p_rearranged_twiddle_tab_stride1 =
+ &S->rearranged_twiddle_stride1[
+ S->rearranged_twiddle_tab_stride1_arr[stage]];
+ q31_t const *pW1, *pW2, *pW3;
+ q31_t *inA = pSrc + CMPLX_DIM * i * n1;
+ q31_t *inB = inA + n2 * CMPLX_DIM;
+ q31_t *inC = inB + n2 * CMPLX_DIM;
+ q31_t *inD = inC + n2 * CMPLX_DIM;
+
+ pW1 = p_rearranged_twiddle_tab_stride1;
+ pW2 = p_rearranged_twiddle_tab_stride2;
+ pW3 = p_rearranged_twiddle_tab_stride3;
+
+ blkCnt = n2 / 2;
+ /*
+ * load 2 x q31 complex pair
+ */
+ vecA = vldrwq_s32(inA);
+ vecC = vldrwq_s32(inC);
+ while (blkCnt > 0U)
+ {
+ vecB = vldrwq_s32(inB);
+ vecD = vldrwq_s32(inD);
+
+ vecSum0 = vhaddq(vecA, vecC);
+ vecDiff0 = vhsubq(vecA, vecC);
+
+ vecSum1 = vhaddq(vecB, vecD);
+ vecDiff1 = vhsubq(vecB, vecD);
+ /*
+ * [ 1 1 1 1 ] * [ A B C D ]' .* 1
+ */
+ vecTmp0 = vhaddq(vecSum0, vecSum1);
+ vst1q(inA, vecTmp0);
+ inA += 4;
+ /*
+ * [ 1 -1 1 -1 ] * [ A B C D ]'
+ */
+ vecTmp0 = vhsubq(vecSum0, vecSum1);
+ /*
+ * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2
+ */
+ vecW = vld1q(pW2);
+ pW2 += 4;
+ vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0);
+
+ vst1q(inB, vecTmp1);
+ inB += 4;
+ /*
+ * [ 1 -i -1 +i ] * [ A B C D ]'
+ */
+ vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
+ /*
+ * [ 1 -i -1 +i ] * [ A B C D ]'.* W1
+ */
+ vecW = vld1q(pW1);
+ pW1 += 4;
+ vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0);
+ vst1q(inC, vecTmp1);
+ inC += 4;
+ /*
+ * [ 1 +i -1 -i ] * [ A B C D ]'
+ */
+ vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
+ /*
+ * [ 1 +i -1 -i ] * [ A B C D ]'.* W3
+ */
+ vecW = vld1q(pW3);
+ pW3 += 4;
+ vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0);
+ vst1q(inD, vecTmp1);
+ inD += 4;
+
+ vecA = vldrwq_s32(inA);
+ vecC = vldrwq_s32(inC);
+
+ blkCnt--;
+ }
+ }
+ n1 = n2;
+ n2 >>= 2u;
+ iter = iter << 2;
+ stage++;
+ }
+
+ /*
+ * End of 1st stages process
+ * data is in 11.21(q21) format for the 1024 point as there are 3 middle stages
+ * data is in 9.23(q23) format for the 256 point as there are 2 middle stages
+ * data is in 7.25(q25) format for the 64 point as there are 1 middle stage
+ * data is in 5.27(q27) format for the 16 point as there are no middle stages
+ */
+
+ /*
+ * start of Last stage process
+ */
+ uint32x4_t vecScGathAddr = *(uint32x4_t *) strides;
+ vecScGathAddr = vecScGathAddr + (uint32_t) pSrc;
+
+ /*
+ * load scheduling
+ */
+ vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
+ vecC = vldrwq_gather_base_s32(vecScGathAddr, 16);
+
+ blkCnt = (fftLen >> 3);
+ while (blkCnt > 0U)
+ {
+ vecSum0 = vhaddq(vecA, vecC);
+ vecDiff0 = vhsubq(vecA, vecC);
+
+ vecB = vldrwq_gather_base_s32(vecScGathAddr, 8);
+ vecD = vldrwq_gather_base_s32(vecScGathAddr, 24);
+
+ vecSum1 = vhaddq(vecB, vecD);
+ vecDiff1 = vhsubq(vecB, vecD);
+ /*
+ * pre-load for next iteration
+ */
+ vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
+ vecC = vldrwq_gather_base_s32(vecScGathAddr, 16);
+
+ vecTmp0 = vhaddq(vecSum0, vecSum1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64, vecTmp0);
+
+ vecTmp0 = vhsubq(vecSum0, vecSum1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, vecTmp0);
+
+ vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64 + 16, vecTmp0);
+
+ vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64 + 24, vecTmp0);
+
+ blkCnt--;
+ }
+
+ /*
+ * output is in 11.21(q21) format for the 1024 point
+ * output is in 9.23(q23) format for the 256 point
+ * output is in 7.25(q25) format for the 64 point
+ * output is in 5.27(q27) format for the 16 point
+ */
+}
+
+
+static void arm_cfft_radix4by2_q31_mve(const arm_cfft_instance_q31 *S, q31_t *pSrc, uint32_t fftLen)
+{
+ uint32_t n2;
+ q31_t *pIn0;
+ q31_t *pIn1;
+ const q31_t *pCoef = S->pTwiddle;
+ uint32_t blkCnt;
+ q31x4_t vecIn0, vecIn1, vecSum, vecDiff;
+ q31x4_t vecCmplxTmp, vecTw;
+
+ n2 = fftLen >> 1;
+ pIn0 = pSrc;
+ pIn1 = pSrc + fftLen;
+
+ blkCnt = n2 / 2;
+
+ while (blkCnt > 0U)
+ {
+ vecIn0 = vld1q_s32(pIn0);
+ vecIn1 = vld1q_s32(pIn1);
+
+ vecIn0 = vecIn0 >> 1;
+ vecIn1 = vecIn1 >> 1;
+ vecSum = vhaddq(vecIn0, vecIn1);
+ vst1q(pIn0, vecSum);
+ pIn0 += 4;
+
+ vecTw = vld1q_s32(pCoef);
+ pCoef += 4;
+ vecDiff = vhsubq(vecIn0, vecIn1);
+
+ vecCmplxTmp = MVE_CMPLX_MULT_FX_AxConjB(vecDiff, vecTw);
+ vst1q(pIn1, vecCmplxTmp);
+ pIn1 += 4;
+
+ blkCnt--;
+ }
+
+ _arm_radix4_butterfly_q31_mve(S, pSrc, n2);
+
+ _arm_radix4_butterfly_q31_mve(S, pSrc + fftLen, n2);
+
+ pIn0 = pSrc;
+ blkCnt = (fftLen << 1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vecIn0 = vld1q_s32(pIn0);
+ vecIn0 = vecIn0 << 1;
+ vst1q(pIn0, vecIn0);
+ pIn0 += 4;
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (fftLen << 1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecIn0 = vld1q_s32(pIn0);
+ vecIn0 = vecIn0 << 1;
+ vstrwq_p(pIn0, vecIn0, p0);
+ }
+
+}
+
+static void _arm_radix4_butterfly_inverse_q31_mve(
+ const arm_cfft_instance_q31 *S,
+ q31_t *pSrc,
+ uint32_t fftLen)
+{
+ q31x4_t vecTmp0, vecTmp1;
+ q31x4_t vecSum0, vecDiff0, vecSum1, vecDiff1;
+ q31x4_t vecA, vecB, vecC, vecD;
+ q31x4_t vecW;
+ uint32_t blkCnt;
+ uint32_t n1, n2;
+ uint32_t stage = 0;
+ int32_t iter = 1;
+ static const uint32_t strides[4] = {
+ (0 - 16) * sizeof(q31_t *), (1 - 16) * sizeof(q31_t *),
+ (8 - 16) * sizeof(q31_t *), (9 - 16) * sizeof(q31_t *)
+ };
+
+ /*
+ * Process first stages
+ * Each stage in middle stages provides two down scaling of the input
+ */
+ n2 = fftLen;
+ n1 = n2;
+ n2 >>= 2u;
+
+ for (int k = fftLen / 4u; k > 1; k >>= 2u)
+ {
+ for (int i = 0; i < iter; i++)
+ {
+ q31_t const *p_rearranged_twiddle_tab_stride2 =
+ &S->rearranged_twiddle_stride2[
+ S->rearranged_twiddle_tab_stride2_arr[stage]];
+ q31_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[
+ S->rearranged_twiddle_tab_stride3_arr[stage]];
+ q31_t const *p_rearranged_twiddle_tab_stride1 =
+ &S->rearranged_twiddle_stride1[
+ S->rearranged_twiddle_tab_stride1_arr[stage]];
+
+ q31_t const *pW1, *pW2, *pW3;
+ q31_t *inA = pSrc + CMPLX_DIM * i * n1;
+ q31_t *inB = inA + n2 * CMPLX_DIM;
+ q31_t *inC = inB + n2 * CMPLX_DIM;
+ q31_t *inD = inC + n2 * CMPLX_DIM;
+
+ pW1 = p_rearranged_twiddle_tab_stride1;
+ pW2 = p_rearranged_twiddle_tab_stride2;
+ pW3 = p_rearranged_twiddle_tab_stride3;
+
+ blkCnt = n2 / 2;
+ /*
+ * load 2 x q31 complex pair
+ */
+ vecA = vldrwq_s32(inA);
+ vecC = vldrwq_s32(inC);
+ while (blkCnt > 0U)
+ {
+ vecB = vldrwq_s32(inB);
+ vecD = vldrwq_s32(inD);
+
+ vecSum0 = vhaddq(vecA, vecC);
+ vecDiff0 = vhsubq(vecA, vecC);
+
+ vecSum1 = vhaddq(vecB, vecD);
+ vecDiff1 = vhsubq(vecB, vecD);
+ /*
+ * [ 1 1 1 1 ] * [ A B C D ]' .* 1
+ */
+ vecTmp0 = vhaddq(vecSum0, vecSum1);
+ vst1q(inA, vecTmp0);
+ inA += 4;
+ /*
+ * [ 1 -1 1 -1 ] * [ A B C D ]'
+ */
+ vecTmp0 = vhsubq(vecSum0, vecSum1);
+ /*
+ * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2
+ */
+ vecW = vld1q(pW2);
+ pW2 += 4;
+ vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW);
+
+ vst1q(inB, vecTmp1);
+ inB += 4;
+ /*
+ * [ 1 -i -1 +i ] * [ A B C D ]'
+ */
+ vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
+ /*
+ * [ 1 -i -1 +i ] * [ A B C D ]'.* W1
+ */
+ vecW = vld1q(pW1);
+ pW1 += 4;
+ vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW);
+ vst1q(inC, vecTmp1);
+ inC += 4;
+ /*
+ * [ 1 +i -1 -i ] * [ A B C D ]'
+ */
+ vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
+ /*
+ * [ 1 +i -1 -i ] * [ A B C D ]'.* W3
+ */
+ vecW = vld1q(pW3);
+ pW3 += 4;
+ vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW);
+ vst1q(inD, vecTmp1);
+ inD += 4;
+
+ vecA = vldrwq_s32(inA);
+ vecC = vldrwq_s32(inC);
+
+ blkCnt--;
+ }
+ }
+ n1 = n2;
+ n2 >>= 2u;
+ iter = iter << 2;
+ stage++;
+ }
+
+ /*
+ * End of 1st stages process
+ * data is in 11.21(q21) format for the 1024 point as there are 3 middle stages
+ * data is in 9.23(q23) format for the 256 point as there are 2 middle stages
+ * data is in 7.25(q25) format for the 64 point as there are 1 middle stage
+ * data is in 5.27(q27) format for the 16 point as there are no middle stages
+ */
+
+ /*
+ * start of Last stage process
+ */
+ uint32x4_t vecScGathAddr = *(uint32x4_t *) strides;
+ vecScGathAddr = vecScGathAddr + (uint32_t) pSrc;
+
+ /*
+ * load scheduling
+ */
+ vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
+ vecC = vldrwq_gather_base_s32(vecScGathAddr, 16);
+
+ blkCnt = (fftLen >> 3);
+ while (blkCnt > 0U)
+ {
+ vecSum0 = vhaddq(vecA, vecC);
+ vecDiff0 = vhsubq(vecA, vecC);
+
+ vecB = vldrwq_gather_base_s32(vecScGathAddr, 8);
+ vecD = vldrwq_gather_base_s32(vecScGathAddr, 24);
+
+ vecSum1 = vhaddq(vecB, vecD);
+ vecDiff1 = vhsubq(vecB, vecD);
+ /*
+ * pre-load for next iteration
+ */
+ vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
+ vecC = vldrwq_gather_base_s32(vecScGathAddr, 16);
+
+ vecTmp0 = vhaddq(vecSum0, vecSum1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64, vecTmp0);
+
+ vecTmp0 = vhsubq(vecSum0, vecSum1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, vecTmp0);
+
+ vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64 + 16, vecTmp0);
+
+ vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
+ vstrwq_scatter_base_s32(vecScGathAddr, -64 + 24, vecTmp0);
+
+ blkCnt--;
+ }
+ /*
+ * output is in 11.21(q21) format for the 1024 point
+ * output is in 9.23(q23) format for the 256 point
+ * output is in 7.25(q25) format for the 64 point
+ * output is in 5.27(q27) format for the 16 point
+ */
+}
+
+static void arm_cfft_radix4by2_inverse_q31_mve(const arm_cfft_instance_q31 *S, q31_t *pSrc, uint32_t fftLen)
+{
+ uint32_t n2;
+ q31_t *pIn0;
+ q31_t *pIn1;
+ const q31_t *pCoef = S->pTwiddle;
+
+ //uint16_t twidCoefModifier = arm_cfft_radix2_twiddle_factor(S->fftLen);
+ //q31_t twidIncr = (2 * twidCoefModifier * sizeof(q31_t));
+ uint32_t blkCnt;
+ //uint64x2_t vecOffs;
+ q31x4_t vecIn0, vecIn1, vecSum, vecDiff;
+ q31x4_t vecCmplxTmp, vecTw;
+
+ n2 = fftLen >> 1;
+
+ pIn0 = pSrc;
+ pIn1 = pSrc + fftLen;
+ //vecOffs[0] = 0;
+ //vecOffs[1] = (uint64_t) twidIncr;
+ blkCnt = n2 / 2;
+
+ while (blkCnt > 0U)
+ {
+ vecIn0 = vld1q_s32(pIn0);
+ vecIn1 = vld1q_s32(pIn1);
+
+ vecIn0 = vecIn0 >> 1;
+ vecIn1 = vecIn1 >> 1;
+ vecSum = vhaddq(vecIn0, vecIn1);
+ vst1q(pIn0, vecSum);
+ pIn0 += 4;
+
+ //vecTw = (q31x4_t) vldrdq_gather_offset_s64(pCoef, vecOffs);
+ vecTw = vld1q_s32(pCoef);
+ pCoef += 4;
+ vecDiff = vhsubq(vecIn0, vecIn1);
+
+ vecCmplxTmp = MVE_CMPLX_MULT_FX_AxB(vecDiff, vecTw);
+ vst1q(pIn1, vecCmplxTmp);
+ pIn1 += 4;
+
+ //vecOffs = vaddq((q31x4_t) vecOffs, 2 * twidIncr);
+ blkCnt--;
+ }
+
+ _arm_radix4_butterfly_inverse_q31_mve(S, pSrc, n2);
+
+ _arm_radix4_butterfly_inverse_q31_mve(S, pSrc + fftLen, n2);
+
+ pIn0 = pSrc;
+ blkCnt = (fftLen << 1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vecIn0 = vld1q_s32(pIn0);
+ vecIn0 = vecIn0 << 1;
+ vst1q(pIn0, vecIn0);
+ pIn0 += 4;
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (fftLen << 1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecIn0 = vld1q_s32(pIn0);
+ vecIn0 = vecIn0 << 1;
+ vstrwq_p(pIn0, vecIn0, p0);
+ }
+
+}
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 complex FFT.
+ @param[in] S points to an instance of the fixed-point CFFT structure
+ @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+void arm_cfft_q31(
+ const arm_cfft_instance_q31 * S,
+ q31_t * pSrc,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t fftLen = S->fftLen;
+
+ if (ifftFlag == 1U) {
+
+ switch (fftLen) {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ _arm_radix4_butterfly_inverse_q31_mve(S, pSrc, fftLen);
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_inverse_q31_mve(S, pSrc, fftLen);
+ break;
+ }
+ } else {
+ switch (fftLen) {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ _arm_radix4_butterfly_q31_mve(S, pSrc, fftLen);
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_q31_mve(S, pSrc, fftLen);
+ break;
+ }
+ }
+
+
+ if (bitReverseFlag)
+ {
+
+ arm_bitreversal_32_inpl_mve((uint32_t*)pSrc, S->bitRevLength, S->pBitRevTable);
+
+ }
+}
+#else
+
+extern void arm_radix4_butterfly_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+ uint32_t * pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t * pBitRevTable);
+
+void arm_cfft_radix4by2_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef);
+
+void arm_cfft_radix4by2_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef);
+
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 complex FFT.
+ @param[in] S points to an instance of the fixed-point CFFT structure
+ @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return none
+ */
+void arm_cfft_q31(
+ const arm_cfft_instance_q31 * S,
+ q31_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ uint32_t L = S->fftLen;
+
+ if (ifftFlag == 1U)
+ {
+ switch (L)
+ {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ arm_radix4_butterfly_inverse_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 );
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_inverse_q31 ( p1, L, S->pTwiddle );
+ break;
+ }
+ }
+ else
+ {
+ switch (L)
+ {
+ case 16:
+ case 64:
+ case 256:
+ case 1024:
+ case 4096:
+ arm_radix4_butterfly_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 );
+ break;
+
+ case 32:
+ case 128:
+ case 512:
+ case 2048:
+ arm_cfft_radix4by2_q31 ( p1, L, S->pTwiddle );
+ break;
+ }
+ }
+
+ if ( bitReverseFlag )
+ arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+void arm_cfft_radix4by2_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef)
+{
+ uint32_t i, l;
+ uint32_t n2;
+ q31_t xt, yt, cosVal, sinVal;
+ q31_t p0, p1;
+
+ n2 = fftLen >> 1U;
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[2 * i];
+ sinVal = pCoef[2 * i + 1];
+
+ l = i + n2;
+
+ xt = (pSrc[2 * i] >> 2U) - (pSrc[2 * l] >> 2U);
+ pSrc[2 * i] = (pSrc[2 * i] >> 2U) + (pSrc[2 * l] >> 2U);
+
+ yt = (pSrc[2 * i + 1] >> 2U) - (pSrc[2 * l + 1] >> 2U);
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2U) + (pSrc[2 * i + 1] >> 2U);
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multAcc_32x32_keep32_R(p0, yt, sinVal);
+ multSub_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2 * l] = p0 << 1;
+ pSrc[2 * l + 1] = p1 << 1;
+ }
+
+
+ /* first col */
+ arm_radix4_butterfly_q31 (pSrc, n2, (q31_t*)pCoef, 2U);
+
+ /* second col */
+ arm_radix4_butterfly_q31 (pSrc + fftLen, n2, (q31_t*)pCoef, 2U);
+
+ n2 = fftLen >> 1U;
+ for (i = 0; i < n2; i++)
+ {
+ p0 = pSrc[4 * i + 0];
+ p1 = pSrc[4 * i + 1];
+ xt = pSrc[4 * i + 2];
+ yt = pSrc[4 * i + 3];
+
+ p0 <<= 1U;
+ p1 <<= 1U;
+ xt <<= 1U;
+ yt <<= 1U;
+
+ pSrc[4 * i + 0] = p0;
+ pSrc[4 * i + 1] = p1;
+ pSrc[4 * i + 2] = xt;
+ pSrc[4 * i + 3] = yt;
+ }
+
+}
+
+void arm_cfft_radix4by2_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef)
+{
+ uint32_t i, l;
+ uint32_t n2;
+ q31_t xt, yt, cosVal, sinVal;
+ q31_t p0, p1;
+
+ n2 = fftLen >> 1U;
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[2 * i];
+ sinVal = pCoef[2 * i + 1];
+
+ l = i + n2;
+
+ xt = (pSrc[2 * i] >> 2U) - (pSrc[2 * l] >> 2U);
+ pSrc[2 * i] = (pSrc[2 * i] >> 2U) + (pSrc[2 * l] >> 2U);
+
+ yt = (pSrc[2 * i + 1] >> 2U) - (pSrc[2 * l + 1] >> 2U);
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2U) + (pSrc[2 * i + 1] >> 2U);
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multSub_32x32_keep32_R(p0, yt, sinVal);
+ multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2 * l] = p0 << 1U;
+ pSrc[2 * l + 1] = p1 << 1U;
+ }
+
+ /* first col */
+ arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2U);
+
+ /* second col */
+ arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2U);
+
+ n2 = fftLen >> 1U;
+ for (i = 0; i < n2; i++)
+ {
+ p0 = pSrc[4 * i + 0];
+ p1 = pSrc[4 * i + 1];
+ xt = pSrc[4 * i + 2];
+ yt = pSrc[4 * i + 3];
+
+ p0 <<= 1U;
+ p1 <<= 1U;
+ xt <<= 1U;
+ yt <<= 1U;
+
+ pSrc[4 * i + 0] = p0;
+ pSrc[4 * i + 1] = p1;
+ pSrc[4 * i + 2] = xt;
+ pSrc[4 * i + 3] = yt;
+ }
+}
+#endif /* defined(ARM_MATH_MVEI) */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c
new file mode 100644
index 0000000..f75e329
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c
@@ -0,0 +1,470 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_f32.c
+ * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+ float32_t * pSrc,
+ uint16_t fftSize,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Radix-2 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future
+ @param[in] S points to an instance of the floating-point Radix-2 CFFT/CIFFT structure
+ @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @return none
+ */
+
+void arm_cfft_radix2_f32(
+const arm_cfft_radix2_instance_f32 * S,
+ float32_t * pSrc)
+{
+
+ if (S->ifftFlag == 1U)
+ {
+ /* Complex IFFT radix-2 */
+ arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
+ S->twidCoefModifier, S->onebyfftLen);
+ }
+ else
+ {
+ /* Complex FFT radix-2 */
+ arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
+ S->twidCoefModifier);
+ }
+
+ if (S->bitReverseFlag == 1U)
+ {
+ /* Bit Reversal */
+ arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+ }
+
+}
+
+
+/**
+ @} end of ComplexFFT group
+ */
+
+
+
+/* ----------------------------------------------------------------------
+ ** Internal helper function used by the FFTs
+ ** ------------------------------------------------------------------- */
+
+/**
+ brief Core function for the floating-point CFFT butterfly process.
+ param[in,out] pSrc points to in-place buffer of floating-point data type
+ param[in] fftLen length of the FFT
+ param[in] pCoef points to twiddle coefficient buffer
+ param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ return none
+ */
+
+void arm_radix2_butterfly_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ float32_t xt, yt, cosVal, sinVal;
+ float32_t p0, p1, p2, p3;
+ float32_t a0, a1;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Initializations for the first stage */
+ n2 = fftLen >> 1;
+ ia = 0;
+ i = 0;
+
+ // loop for groups
+ for (k = n2; k > 0; k--)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+
+ /* Twiddle coefficients index modifier */
+ ia += twidCoefModifier;
+
+ /* index calculation for the input as, */
+ /* pSrc[i + 0], pSrc[i + fftLen/1] */
+ l = i + n2;
+
+ /* Butterfly implementation */
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ i++;
+ } // groups loop end
+
+ twidCoefModifier <<= 1U;
+
+ // loop for stage
+ for (k = n2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ i += n1;
+ } while ( i < fftLen ); // butterfly loop end
+ j++;
+ } while ( j < n2); // groups loop end
+ twidCoefModifier <<= 1U;
+ } // stages loop end
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += 2)
+ {
+ a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+ xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+ a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+ pSrc[2 * i + 2] = xt;
+ pSrc[2 * i + 3] = yt;
+ } // groups loop end
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ n2 = fftLen;
+
+ // loop for stage
+ for (k = fftLen; k > 1; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 + p1;
+ pSrc[2 * l + 1] = p2 - p3;
+
+ i += n1;
+ } while (i < fftLen);
+ j++;
+ } while (j < n2);
+ twidCoefModifier <<= 1U;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+void arm_radix2_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen)
+{
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ float32_t xt, yt, cosVal, sinVal;
+ float32_t p0, p1, p2, p3;
+ float32_t a0, a1;
+
+#if defined (ARM_MATH_DSP)
+
+ n2 = fftLen >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 - p1;
+ pSrc[2 * l + 1] = p2 + p3;
+ } // groups loop end
+
+ twidCoefModifier <<= 1U;
+
+ // loop for stage
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia += twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 - p1;
+ pSrc[2 * l + 1] = p2 + p3;
+
+ i += n1;
+ } while ( i < fftLen ); // butterfly loop end
+ j++;
+ } while (j < n2); // groups loop end
+
+ twidCoefModifier <<= 1U;
+ } // stages loop end
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += 2)
+ {
+ a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+ xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+ a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+ yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+
+ p0 = a0 * onebyfftLen;
+ p2 = xt * onebyfftLen;
+ p1 = a1 * onebyfftLen;
+ p3 = yt * onebyfftLen;
+
+ pSrc[2 * i] = p0;
+ pSrc[2 * i + 1] = p1;
+ pSrc[2 * i + 2] = p2;
+ pSrc[2 * i + 3] = p3;
+ } // butterfly loop end
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ n2 = fftLen;
+
+ // loop for stage
+ for (k = fftLen; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ j = 0;
+ do
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ do
+ {
+ l = i + n2;
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+ p0 = xt * cosVal;
+ p1 = yt * sinVal;
+ p2 = yt * cosVal;
+ p3 = xt * sinVal;
+
+ pSrc[2 * i] = a0;
+ pSrc[2 * i + 1] = a1;
+
+ pSrc[2 * l] = p0 - p1;
+ pSrc[2 * l + 1] = p2 + p3;
+
+ i += n1;
+ } while ( i < fftLen ); // butterfly loop end
+ j++;
+ } while ( j < n2 ); // groups loop end
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } // stages loop end
+
+ n1 = n2;
+ n2 = n2 >> 1;
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+
+ a0 = pSrc[2 * i] + pSrc[2 * l];
+ xt = pSrc[2 * i] - pSrc[2 * l];
+
+ a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+
+ p0 = a0 * onebyfftLen;
+ p2 = xt * onebyfftLen;
+ p1 = a1 * onebyfftLen;
+ p3 = yt * onebyfftLen;
+
+ pSrc[2 * i] = p0;
+ pSrc[2 * l] = p2;
+
+ pSrc[2 * i + 1] = p1;
+ pSrc[2 * l + 1] = p3;
+ } // butterfly loop end
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
new file mode 100644
index 0000000..417ad91
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
@@ -0,0 +1,197 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_init_f32.c
+ * Description: Radix-2 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future.
+ @param[in,out] S points to an instance of the floating-point CFFT/CIFFT structure
+ @param[in] fftLen length of the FFT
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Details
+ The parameter ifftFlag controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix2_init_f32(
+ arm_cfft_radix2_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialise the FFT length */
+ S->fftLen = fftLen;
+
+ /* Initialise the Twiddle coefficient pointer */
+ S->pTwiddle = (float32_t *) twiddleCoef;
+
+ /* Initialise the Flag for selection of CFFT or CIFFT */
+ S->ifftFlag = ifftFlag;
+
+ /* Initialise the Flag for calculation Bit reversal or not */
+ S->bitReverseFlag = bitReverseFlag;
+
+ /* Initializations of structure parameters depending on the FFT length */
+ switch (S->fftLen)
+ {
+
+ case 4096U:
+ /* Initializations of structure parameters for 4096 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 1U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 1U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) armBitRevTable;
+ /* Initialise the 1/fftLen Value */
+ S->onebyfftLen = 0.000244140625;
+ break;
+
+ case 2048U:
+ /* Initializations of structure parameters for 2048 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 2U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 2U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+ /* Initialise the 1/fftLen Value */
+ S->onebyfftLen = 0.00048828125;
+ break;
+
+ case 1024U:
+ /* Initializations of structure parameters for 1024 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 4U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 4U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+ /* Initialise the 1/fftLen Value */
+ S->onebyfftLen = 0.0009765625f;
+ break;
+
+ case 512U:
+ /* Initializations of structure parameters for 512 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 8U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 8U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+ /* Initialise the 1/fftLen Value */
+ S->onebyfftLen = 0.001953125;
+ break;
+
+ case 256U:
+ /* Initializations of structure parameters for 256 point FFT */
+ S->twidCoefModifier = 16U;
+ S->bitRevFactor = 16U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+ S->onebyfftLen = 0.00390625f;
+ break;
+
+ case 128U:
+ /* Initializations of structure parameters for 128 point FFT */
+ S->twidCoefModifier = 32U;
+ S->bitRevFactor = 32U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+ S->onebyfftLen = 0.0078125;
+ break;
+
+ case 64U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 64U;
+ S->bitRevFactor = 64U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+ S->onebyfftLen = 0.015625f;
+ break;
+
+ case 32U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 128U;
+ S->bitRevFactor = 128U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+ S->onebyfftLen = 0.03125;
+ break;
+
+ case 16U:
+ /* Initializations of structure parameters for 16 point FFT */
+ S->twidCoefModifier = 256U;
+ S->bitRevFactor = 256U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+ S->onebyfftLen = 0.0625f;
+ break;
+
+
+ default:
+ /* Reporting argument error if fftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
new file mode 100644
index 0000000..3d865d0
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
@@ -0,0 +1,182 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_init_q15.c
+ * Description: Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed
+ @param[in,out] S points to an instance of the Q15 CFFT/CIFFT structure.
+ @param[in] fftLen length of the FFT.
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Details
+ The parameter ifftFlag controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix2_init_q15(
+ arm_cfft_radix2_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialise the FFT length */
+ S->fftLen = fftLen;
+
+ /* Initialise the Twiddle coefficient pointer */
+ S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
+ /* Initialise the Flag for selection of CFFT or CIFFT */
+ S->ifftFlag = ifftFlag;
+ /* Initialise the Flag for calculation Bit reversal or not */
+ S->bitReverseFlag = bitReverseFlag;
+
+ /* Initializations of structure parameters depending on the FFT length */
+ switch (S->fftLen)
+ {
+ case 4096U:
+ /* Initializations of structure parameters for 4096 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 1U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 1U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) armBitRevTable;
+
+ break;
+
+ case 2048U:
+ /* Initializations of structure parameters for 2048 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 2U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 2U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+
+ break;
+
+ case 1024U:
+ /* Initializations of structure parameters for 1024 point FFT */
+ S->twidCoefModifier = 4U;
+ S->bitRevFactor = 4U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+
+ break;
+
+ case 512U:
+ /* Initializations of structure parameters for 512 point FFT */
+ S->twidCoefModifier = 8U;
+ S->bitRevFactor = 8U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+
+ break;
+
+ case 256U:
+ /* Initializations of structure parameters for 256 point FFT */
+ S->twidCoefModifier = 16U;
+ S->bitRevFactor = 16U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+
+ break;
+
+ case 128U:
+ /* Initializations of structure parameters for 128 point FFT */
+ S->twidCoefModifier = 32U;
+ S->bitRevFactor = 32U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+
+ break;
+
+ case 64U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 64U;
+ S->bitRevFactor = 64U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+
+ break;
+
+ case 32U:
+ /* Initializations of structure parameters for 32 point FFT */
+ S->twidCoefModifier = 128U;
+ S->bitRevFactor = 128U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+
+ break;
+
+ case 16U:
+ /* Initializations of structure parameters for 16 point FFT */
+ S->twidCoefModifier = 256U;
+ S->bitRevFactor = 256U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+
+ break;
+
+ default:
+ /* Reporting argument error if fftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
new file mode 100644
index 0000000..f4a20d6
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
@@ -0,0 +1,179 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_init_q31.c
+ * Description: Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+ @param[in,out] S points to an instance of the Q31 CFFT/CIFFT structure
+ @param[in] fftLen length of the FFT
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Details
+ The parameter ifftFlag controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix2_init_q31(
+ arm_cfft_radix2_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialise the FFT length */
+ S->fftLen = fftLen;
+
+ /* Initialise the Twiddle coefficient pointer */
+ S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
+
+ /* Initialise the Flag for selection of CFFT or CIFFT */
+ S->ifftFlag = ifftFlag;
+
+ /* Initialise the Flag for calculation Bit reversal or not */
+ S->bitReverseFlag = bitReverseFlag;
+
+ /* Initializations of Instance structure depending on the FFT length */
+ switch (S->fftLen)
+ {
+ /* Initializations of structure parameters for 4096 point FFT */
+ case 4096U:
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 1U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 1U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) armBitRevTable;
+ break;
+
+ /* Initializations of structure parameters for 2048 point FFT */
+ case 2048U:
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 2U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 2U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+ break;
+
+ /* Initializations of structure parameters for 1024 point FFT */
+ case 1024U:
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 4U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 4U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+ break;
+
+ /* Initializations of structure parameters for 512 point FFT */
+ case 512U:
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 8U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 8U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+ break;
+
+ case 256U:
+ /* Initializations of structure parameters for 256 point FFT */
+ S->twidCoefModifier = 16U;
+ S->bitRevFactor = 16U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+ break;
+
+ case 128U:
+ /* Initializations of structure parameters for 128 point FFT */
+ S->twidCoefModifier = 32U;
+ S->bitRevFactor = 32U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+ break;
+
+ case 64U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 64U;
+ S->bitRevFactor = 64U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+ break;
+
+ case 32U:
+ /* Initializations of structure parameters for 32 point FFT */
+ S->twidCoefModifier = 128U;
+ S->bitRevFactor = 128U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+ break;
+
+ case 16U:
+ /* Initializations of structure parameters for 16 point FFT */
+ S->twidCoefModifier = 256U;
+ S->bitRevFactor = 256U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+ break;
+
+
+ default:
+ /* Reporting argument error if fftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c
new file mode 100644
index 0000000..2a03b57
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c
@@ -0,0 +1,689 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_q15.c
+ * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_bitreversal_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the fixed-point CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future.
+ @param[in] S points to an instance of the fixed-point CFFT/CIFFT structure
+ @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @return none
+ */
+
+void arm_cfft_radix2_q15(
+ const arm_cfft_radix2_instance_q15 * S,
+ q15_t * pSrc)
+{
+
+ if (S->ifftFlag == 1U)
+ {
+ arm_radix2_butterfly_inverse_q15 (pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+ else
+ {
+ arm_radix2_butterfly_q15 (pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+
+ arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+void arm_radix2_butterfly_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+#if defined (ARM_MATH_DSP)
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ q15_t in;
+ q31_t T, S, R;
+ q31_t coeff, out1, out2;
+
+ //N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+ in = ((int16_t) (T & 0xFFFF)) >> 1;
+ T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ S = read_q15x2 (pSrc + (2 * l));
+ in = ((int16_t) (S & 0xFFFF)) >> 1;
+ S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUAD(coeff, R) >> 16;
+ out2 = __SMUSDX(coeff, R);
+#else
+ out1 = __SMUSDX(R, coeff) >> 16U;
+ out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ i++;
+ l++;
+
+ T = read_q15x2 (pSrc + (2 * i));
+ in = ((int16_t) (T & 0xFFFF)) >> 1;
+ T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ S = read_q15x2 (pSrc + (2 * l));
+ in = ((int16_t) (S & 0xFFFF)) >> 1;
+ S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUAD(coeff, R) >> 16;
+ out2 = __SMUSDX(coeff, R);
+#else
+
+ out1 = __SMUSDX(R, coeff) >> 16U;
+ out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+ /* loop for stage */
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUAD(coeff, R) >> 16;
+ out2 = __SMUSDX(coeff, R);
+#else
+ out1 = __SMUSDX(R, coeff) >> 16U;
+ out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ i += n1;
+
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUAD(coeff, R) >> 16;
+ out2 = __SMUSDX(coeff, R);
+#else
+ out1 = __SMUSDX(R, coeff) >> 16U;
+ out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } /* stages loop end */
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __QADD16(T, S));
+
+ write_q15x2 (pSrc + (2 * l), R);
+
+ i += n1;
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __QADD16(T, S));
+
+ write_q15x2 (pSrc + (2 * l), R);
+
+ } /* groups loop end */
+
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ q15_t xt, yt, cosVal, sinVal;
+
+
+ // N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[(ia * 2)];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+ yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+ pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) +
+ (pSrc[2 * i + 1] >> 1U) ) >> 1U;
+
+ pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+ ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+ pSrc[2U * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+ ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+ /* loop for stage */
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+ pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+ ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+ pSrc[2U * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+ ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } /* stages loop end */
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2 * l] = xt;
+
+ pSrc[2 * l + 1] = yt;
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+void arm_radix2_butterfly_inverse_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+#if defined (ARM_MATH_DSP)
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ q15_t in;
+ q31_t T, S, R;
+ q31_t coeff, out1, out2;
+
+ // N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (i = 0; i < n2; i++)
+ {
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+ in = ((int16_t) (T & 0xFFFF)) >> 1;
+ T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ S = read_q15x2 (pSrc + (2 * l));
+ in = ((int16_t) (S & 0xFFFF)) >> 1;
+ S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUSD(coeff, R) >> 16;
+ out2 = __SMUADX(coeff, R);
+#else
+ out1 = __SMUADX(R, coeff) >> 16U;
+ out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ i++;
+ l++;
+
+ T = read_q15x2 (pSrc + (2 * i));
+ in = ((int16_t) (T & 0xFFFF)) >> 1;
+ T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ S = read_q15x2 (pSrc + (2 * l));
+ in = ((int16_t) (S & 0xFFFF)) >> 1;
+ S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUSD(coeff, R) >> 16;
+ out2 = __SMUADX(coeff, R);
+#else
+ out1 = __SMUADX(R, coeff) >> 16U;
+ out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+ /* loop for stage */
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUSD(coeff, R) >> 16;
+ out2 = __SMUADX(coeff, R);
+#else
+ out1 = __SMUADX(R, coeff) >> 16U;
+ out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ i += n1;
+
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUSD(coeff, R) >> 16;
+ out2 = __SMUADX(coeff, R);
+#else
+ out1 = __SMUADX(R, coeff) >> 16U;
+ out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } /* stages loop end */
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+
+ T = read_q15x2 (pSrc + (2 * i));
+
+ S = read_q15x2 (pSrc + (2 * l));
+
+ R = __QSUB16(T, S);
+
+ write_q15x2 (pSrc + (2 * i), __QADD16(T, S));
+
+ write_q15x2 (pSrc + (2 * l), R);
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ uint32_t i, j, k, l;
+ uint32_t n1, n2, ia;
+ q15_t xt, yt, cosVal, sinVal;
+
+ // N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[(ia * 2)];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+ yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+ pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) +
+ (pSrc[2 * i + 1] >> 1U) ) >> 1U;
+
+ pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+ ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+ pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+ ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+ /* loop for stage */
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ /* loop for groups */
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[(ia * 2)];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+ pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+ ((int16_t) (((q31_t) yt * sinVal) >> 16)) );
+
+ pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+ ((int16_t) (((q31_t) xt * sinVal) >> 16)) );
+
+ } /* butterfly loop end */
+
+ } /* groups loop end */
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } /* stages loop end */
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ cosVal = pCoef[(ia * 2)];
+ sinVal = pCoef[(ia * 2) + 1];
+
+ ia = ia + twidCoefModifier;
+
+ /* loop for butterfly */
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2 * l] = xt;
+
+ pSrc[2 * l + 1] = yt;
+
+ } /* groups loop end */
+
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c
new file mode 100644
index 0000000..6c79a65
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c
@@ -0,0 +1,337 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix2_q31.c
+ * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the fixed-point CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+ @param[in] S points to an instance of the fixed-point CFFT/CIFFT structure
+ @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @return none
+ */
+
+void arm_cfft_radix2_q31(
+ const arm_cfft_radix2_instance_q31 * S,
+ q31_t * pSrc)
+{
+
+ if (S->ifftFlag == 1U)
+ {
+ arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
+ S->pTwiddle, S->twidCoefModifier);
+ }
+ else
+ {
+ arm_radix2_butterfly_q31(pSrc, S->fftLen,
+ S->pTwiddle, S->twidCoefModifier);
+ }
+
+ arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+void arm_radix2_butterfly_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+
+ unsigned i, j, k, l, m;
+ unsigned n1, n2, ia;
+ q31_t xt, yt, cosVal, sinVal;
+ q31_t p0, p1;
+
+ //N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ l = i + n2;
+ xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+ yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+ pSrc[2 * i + 1] =
+ ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multAcc_32x32_keep32_R(p0, yt, sinVal);
+ multSub_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2U * l] = p0;
+ pSrc[2U * l + 1U] = p1;
+
+ } // groups loop end
+
+ twidCoefModifier <<= 1U;
+
+ // loop for stage
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ m = fftLen / n1;
+ do
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multAcc_32x32_keep32_R(p0, yt, sinVal);
+ multSub_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2U * l] = p0;
+ pSrc[2U * l + 1U] = p1;
+ i += n1;
+ m--;
+ } while ( m > 0); // butterfly loop end
+
+ } // groups loop end
+
+ twidCoefModifier <<= 1U;
+ } // stages loop end
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2U * l] = xt;
+
+ pSrc[2U * l + 1U] = yt;
+
+ i += n1;
+ l = i + n2;
+
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2U * l] = xt;
+
+ pSrc[2U * l + 1U] = yt;
+
+ } // butterfly loop end
+
+}
+
+
+void arm_radix2_butterfly_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+
+ unsigned i, j, k, l;
+ unsigned n1, n2, ia;
+ q31_t xt, yt, cosVal, sinVal;
+ q31_t p0, p1;
+
+ //N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ l = i + n2;
+ xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+ yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+ pSrc[2 * i + 1] =
+ ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multSub_32x32_keep32_R(p0, yt, sinVal);
+ multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2U * l] = p0;
+ pSrc[2U * l + 1U] = p1;
+ } // groups loop end
+
+ twidCoefModifier = twidCoefModifier << 1U;
+
+ // loop for stage
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multSub_32x32_keep32_R(p0, yt, sinVal);
+ multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2U * l] = p0;
+ pSrc[2U * l + 1U] = p1;
+ } // butterfly loop end
+
+ } // groups loop end
+
+ twidCoefModifier = twidCoefModifier << 1U;
+ } // stages loop end
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2U * l] = xt;
+
+ pSrc[2U * l + 1U] = yt;
+
+ i += n1;
+ l = i + n2;
+
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2U * l] = xt;
+
+ pSrc[2U * l + 1U] = yt;
+
+ } // butterfly loop end
+
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
new file mode 100644
index 0000000..9629145
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
@@ -0,0 +1,1200 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix4_f32.c
+ * Description: Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+extern void arm_bitreversal_f32(
+ float32_t * pSrc,
+ uint16_t fftSize,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+void arm_radix4_butterfly_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_radix4_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen);
+
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future.
+ @param[in] S points to an instance of the floating-point Radix-4 CFFT/CIFFT structure
+ @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @return none
+ */
+
+void arm_cfft_radix4_f32(
+ const arm_cfft_radix4_instance_f32 * S,
+ float32_t * pSrc)
+{
+ if (S->ifftFlag == 1U)
+ {
+ /* Complex IFFT radix-4 */
+ arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier, S->onebyfftLen);
+ }
+ else
+ {
+ /* Complex FFT radix-4 */
+ arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+
+ if (S->bitReverseFlag == 1U)
+ {
+ /* Bit Reversal */
+ arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+ }
+
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * ---------------------------------------------------------------------- */
+
+/**
+ brief Core function for the floating-point CFFT butterfly process.
+ param[in,out] pSrc points to the in-place buffer of floating-point data type
+ param[in] fftLen length of the FFT
+ param[in] pCoef points to the twiddle coefficient buffer
+ param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ return none
+ */
+
+void arm_radix4_butterfly_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+ float32_t co1, co2, co3, si1, si2, si3;
+ uint32_t ia1, ia2, ia3;
+ uint32_t i0, i1, i2, i3;
+ uint32_t n1, n2, j, k;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
+ float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
+ Ybminusd;
+ float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
+ float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
+ float32_t *ptr1;
+ float32_t p0,p1,p2,p3,p4,p5;
+ float32_t a0,a1,a2,a3,a4,a5,a6,a7;
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+ i0 = 0U;
+ ia1 = 0U;
+
+ j = n2;
+
+ /* Calculation of first stage */
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ xaIn = pSrc[(2U * i0)];
+ yaIn = pSrc[(2U * i0) + 1U];
+
+ xbIn = pSrc[(2U * i1)];
+ ybIn = pSrc[(2U * i1) + 1U];
+
+ xcIn = pSrc[(2U * i2)];
+ ycIn = pSrc[(2U * i2) + 1U];
+
+ xdIn = pSrc[(2U * i3)];
+ ydIn = pSrc[(2U * i3) + 1U];
+
+ /* xa + xc */
+ Xaplusc = xaIn + xcIn;
+ /* xb + xd */
+ Xbplusd = xbIn + xdIn;
+ /* ya + yc */
+ Yaplusc = yaIn + ycIn;
+ /* yb + yd */
+ Ybplusd = ybIn + ydIn;
+
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+
+ /* xa - xc */
+ Xaminusc = xaIn - xcIn;
+ /* xb - xd */
+ Xbminusd = xbIn - xdIn;
+ /* ya - yc */
+ Yaminusc = yaIn - ycIn;
+ /* yb - yd */
+ Ybminusd = ybIn - ydIn;
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+ /* (xa - xc) + (yb - yd) */
+ Xb12C_out = (Xaminusc + Ybminusd);
+ /* (ya - yc) + (xb - xd) */
+ Yb12C_out = (Yaminusc - Xbminusd);
+ /* (xa + xc) - (xb + xd) */
+ Xc12C_out = (Xaplusc - Xbplusd);
+ /* (ya + yc) - (yb + yd) */
+ Yc12C_out = (Yaplusc - Ybplusd);
+ /* (xa - xc) - (yb - yd) */
+ Xd12C_out = (Xaminusc - Ybminusd);
+ /* (ya - yc) + (xb - xd) */
+ Yd12C_out = (Xbminusd + Yaminusc);
+
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+
+ /* index calculation for the coefficients */
+ ia3 = ia2 + ia1;
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ Xb12_out = Xb12C_out * co1;
+ Yb12_out = Yb12C_out * co1;
+ Xc12_out = Xc12C_out * co2;
+ Yc12_out = Yc12C_out * co2;
+ Xd12_out = Xd12C_out * co3;
+ Yd12_out = Yd12C_out * co3;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ //Xb12_out -= Yb12C_out * si1;
+ p0 = Yb12C_out * si1;
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ //Yb12_out += Xb12C_out * si1;
+ p1 = Xb12C_out * si1;
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ //Xc12_out -= Yc12C_out * si2;
+ p2 = Yc12C_out * si2;
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ //Yc12_out += Xc12C_out * si2;
+ p3 = Xc12C_out * si2;
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ //Xd12_out -= Yd12C_out * si3;
+ p4 = Yd12C_out * si3;
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ //Yd12_out += Xd12C_out * si3;
+ p5 = Xd12C_out * si3;
+
+ Xb12_out += p0;
+ Yb12_out -= p1;
+ Xc12_out += p2;
+ Yc12_out -= p3;
+ Xd12_out += p4;
+ Yd12_out -= p5;
+
+ /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = Xc12_out;
+
+ /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = Yc12_out;
+
+ /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = Xb12_out;
+
+ /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = Yb12_out;
+
+ /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = Xd12_out;
+
+ /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = Yd12_out;
+
+ /* Twiddle coefficients index modifier */
+ ia1 += twidCoefModifier;
+
+ /* Updating input index */
+ i0++;
+
+ }
+ while (--j);
+
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of second stage to excluding last stage */
+ for (k = fftLen >> 2U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the first stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ /* Calculation of first stage */
+ j = 0;
+ do
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[(ia1 * 2U)];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[(ia2 * 2U)];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[(ia3 * 2U)];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ia1 += twidCoefModifier;
+
+ i0 = j;
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ xaIn = pSrc[(2U * i0)];
+ yaIn = pSrc[(2U * i0) + 1U];
+
+ xbIn = pSrc[(2U * i1)];
+ ybIn = pSrc[(2U * i1) + 1U];
+
+ xcIn = pSrc[(2U * i2)];
+ ycIn = pSrc[(2U * i2) + 1U];
+
+ xdIn = pSrc[(2U * i3)];
+ ydIn = pSrc[(2U * i3) + 1U];
+
+ /* xa - xc */
+ Xaminusc = xaIn - xcIn;
+ /* (xb - xd) */
+ Xbminusd = xbIn - xdIn;
+ /* ya - yc */
+ Yaminusc = yaIn - ycIn;
+ /* (yb - yd) */
+ Ybminusd = ybIn - ydIn;
+
+ /* xa + xc */
+ Xaplusc = xaIn + xcIn;
+ /* xb + xd */
+ Xbplusd = xbIn + xdIn;
+ /* ya + yc */
+ Yaplusc = yaIn + ycIn;
+ /* yb + yd */
+ Ybplusd = ybIn + ydIn;
+
+ /* (xa - xc) + (yb - yd) */
+ Xb12C_out = (Xaminusc + Ybminusd);
+ /* (ya - yc) - (xb - xd) */
+ Yb12C_out = (Yaminusc - Xbminusd);
+ /* xa + xc -(xb + xd) */
+ Xc12C_out = (Xaplusc - Xbplusd);
+ /* (ya + yc) - (yb + yd) */
+ Yc12C_out = (Yaplusc - Ybplusd);
+ /* (xa - xc) - (yb - yd) */
+ Xd12C_out = (Xaminusc - Ybminusd);
+ /* (ya - yc) + (xb - xd) */
+ Yd12C_out = (Xbminusd + Yaminusc);
+
+ pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+ pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+ Xb12_out = Xb12C_out * co1;
+ Yb12_out = Yb12C_out * co1;
+ Xc12_out = Xc12C_out * co2;
+ Yc12_out = Yc12C_out * co2;
+ Xd12_out = Xd12C_out * co3;
+ Yd12_out = Yd12C_out * co3;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ //Xb12_out -= Yb12C_out * si1;
+ p0 = Yb12C_out * si1;
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ //Yb12_out += Xb12C_out * si1;
+ p1 = Xb12C_out * si1;
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ //Xc12_out -= Yc12C_out * si2;
+ p2 = Yc12C_out * si2;
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ //Yc12_out += Xc12C_out * si2;
+ p3 = Xc12C_out * si2;
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ //Xd12_out -= Yd12C_out * si3;
+ p4 = Yd12C_out * si3;
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ //Yd12_out += Xd12C_out * si3;
+ p5 = Xd12C_out * si3;
+
+ Xb12_out += p0;
+ Yb12_out -= p1;
+ Xc12_out += p2;
+ Yc12_out -= p3;
+ Xd12_out += p4;
+ Yd12_out -= p5;
+
+ /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = Xc12_out;
+
+ /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = Yc12_out;
+
+ /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = Xb12_out;
+
+ /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = Yb12_out;
+
+ /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = Xd12_out;
+
+ /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = Yd12_out;
+
+ i0 += n1;
+ } while (i0 < fftLen);
+ j++;
+ } while (j <= (n2 - 1U));
+ twidCoefModifier <<= 2U;
+ }
+
+ j = fftLen >> 2;
+ ptr1 = &pSrc[0];
+
+ /* Calculations of last stage */
+ do
+ {
+ xaIn = ptr1[0];
+ yaIn = ptr1[1];
+ xbIn = ptr1[2];
+ ybIn = ptr1[3];
+ xcIn = ptr1[4];
+ ycIn = ptr1[5];
+ xdIn = ptr1[6];
+ ydIn = ptr1[7];
+
+ /* xa + xc */
+ Xaplusc = xaIn + xcIn;
+
+ /* xa - xc */
+ Xaminusc = xaIn - xcIn;
+
+ /* ya + yc */
+ Yaplusc = yaIn + ycIn;
+
+ /* ya - yc */
+ Yaminusc = yaIn - ycIn;
+
+ /* xb + xd */
+ Xbplusd = xbIn + xdIn;
+
+ /* yb + yd */
+ Ybplusd = ybIn + ydIn;
+
+ /* (xb-xd) */
+ Xbminusd = xbIn - xdIn;
+
+ /* (yb-yd) */
+ Ybminusd = ybIn - ydIn;
+
+ /* xa' = xa + xb + xc + xd */
+ a0 = (Xaplusc + Xbplusd);
+ /* ya' = ya + yb + yc + yd */
+ a1 = (Yaplusc + Ybplusd);
+ /* xc' = (xa-xb+xc-xd) */
+ a2 = (Xaplusc - Xbplusd);
+ /* yc' = (ya-yb+yc-yd) */
+ a3 = (Yaplusc - Ybplusd);
+ /* xb' = (xa+yb-xc-yd) */
+ a4 = (Xaminusc + Ybminusd);
+ /* yb' = (ya-xb-yc+xd) */
+ a5 = (Yaminusc - Xbminusd);
+ /* xd' = (xa-yb-xc+yd)) */
+ a6 = (Xaminusc - Ybminusd);
+ /* yd' = (ya+xb-yc-xd) */
+ a7 = (Xbminusd + Yaminusc);
+
+ ptr1[0] = a0;
+ ptr1[1] = a1;
+ ptr1[2] = a2;
+ ptr1[3] = a3;
+ ptr1[4] = a4;
+ ptr1[5] = a5;
+ ptr1[6] = a6;
+ ptr1[7] = a7;
+
+ /* increment pointer by 8 */
+ ptr1 += 8U;
+ } while (--j);
+
+#else
+
+ float32_t t1, t2, r1, r2, s1, s2;
+
+ /* Initializations for the fft calculation */
+ n2 = fftLen;
+ n1 = n2;
+ for (k = fftLen; k > 1U; k >>= 2U)
+ {
+ /* Initializations for the fft calculation */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ /* FFT Calculation */
+ j = 0;
+ do
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ i0 = j;
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* xa + xc */
+ r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
+
+ /* xa - xc */
+ r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
+
+ /* ya + yc */
+ s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+ /* ya - yc */
+ s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+ /* xb + xd */
+ t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = r1 + t1;
+
+ /* xa + xc -(xb + xd) */
+ r1 = r1 - t1;
+
+ /* yb + yd */
+ t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = s1 + t2;
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* (yb - yd) */
+ t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+ /* (xb - xd) */
+ t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+ /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (r1 * co2) + (s1 * si2);
+
+ /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2);
+
+ /* (xa - xc) + (yb - yd) */
+ r1 = r2 + t1;
+
+ /* (xa - xc) - (yb - yd) */
+ r2 = r2 - t1;
+
+ /* (ya - yc) - (xb - xd) */
+ s1 = s2 - t2;
+
+ /* (ya - yc) + (xb - xd) */
+ s2 = s2 + t2;
+
+ /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (r1 * co1) + (s1 * si1);
+
+ /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1);
+
+ /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = (r2 * co3) + (s2 * si3);
+
+ /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3);
+
+ i0 += n1;
+ } while ( i0 < fftLen);
+ j++;
+ } while (j <= (n2 - 1U));
+ twidCoefModifier <<= 2U;
+ }
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+ brief Core function for the floating-point CIFFT butterfly process.
+ param[in,out] pSrc points to the in-place buffer of floating-point data type
+ param[in] fftLen length of the FFT
+ param[in] pCoef points to twiddle coefficient buffer
+ param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+ param[in] onebyfftLen value of 1/fftLen
+ return none
+ */
+
+void arm_radix4_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen)
+{
+ float32_t co1, co2, co3, si1, si2, si3;
+ uint32_t ia1, ia2, ia3;
+ uint32_t i0, i1, i2, i3;
+ uint32_t n1, n2, j, k;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
+ float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
+ Ybminusd;
+ float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
+ float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
+ float32_t *ptr1;
+ float32_t p0,p1,p2,p3,p4,p5,p6,p7;
+ float32_t a0,a1,a2,a3,a4,a5,a6,a7;
+
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+ i0 = 0U;
+ ia1 = 0U;
+
+ j = n2;
+
+ /* Calculation of first stage */
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Butterfly implementation */
+ xaIn = pSrc[(2U * i0)];
+ yaIn = pSrc[(2U * i0) + 1U];
+
+ xcIn = pSrc[(2U * i2)];
+ ycIn = pSrc[(2U * i2) + 1U];
+
+ xbIn = pSrc[(2U * i1)];
+ ybIn = pSrc[(2U * i1) + 1U];
+
+ xdIn = pSrc[(2U * i3)];
+ ydIn = pSrc[(2U * i3) + 1U];
+
+ /* xa + xc */
+ Xaplusc = xaIn + xcIn;
+ /* xb + xd */
+ Xbplusd = xbIn + xdIn;
+ /* ya + yc */
+ Yaplusc = yaIn + ycIn;
+ /* yb + yd */
+ Ybplusd = ybIn + ydIn;
+
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+
+ /* xa - xc */
+ Xaminusc = xaIn - xcIn;
+ /* xb - xd */
+ Xbminusd = xbIn - xdIn;
+ /* ya - yc */
+ Yaminusc = yaIn - ycIn;
+ /* yb - yd */
+ Ybminusd = ybIn - ydIn;
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+ /* (xa - xc) - (yb - yd) */
+ Xb12C_out = (Xaminusc - Ybminusd);
+ /* (ya - yc) + (xb - xd) */
+ Yb12C_out = (Yaminusc + Xbminusd);
+ /* (xa + xc) - (xb + xd) */
+ Xc12C_out = (Xaplusc - Xbplusd);
+ /* (ya + yc) - (yb + yd) */
+ Yc12C_out = (Yaplusc - Ybplusd);
+ /* (xa - xc) + (yb - yd) */
+ Xd12C_out = (Xaminusc + Ybminusd);
+ /* (ya - yc) - (xb - xd) */
+ Yd12C_out = (Yaminusc - Xbminusd);
+
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+
+ /* index calculation for the coefficients */
+ ia3 = ia2 + ia1;
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ Xb12_out = Xb12C_out * co1;
+ Yb12_out = Yb12C_out * co1;
+ Xc12_out = Xc12C_out * co2;
+ Yc12_out = Yc12C_out * co2;
+ Xd12_out = Xd12C_out * co3;
+ Yd12_out = Yd12C_out * co3;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ //Xb12_out -= Yb12C_out * si1;
+ p0 = Yb12C_out * si1;
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ //Yb12_out += Xb12C_out * si1;
+ p1 = Xb12C_out * si1;
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ //Xc12_out -= Yc12C_out * si2;
+ p2 = Yc12C_out * si2;
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ //Yc12_out += Xc12C_out * si2;
+ p3 = Xc12C_out * si2;
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ //Xd12_out -= Yd12C_out * si3;
+ p4 = Yd12C_out * si3;
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ //Yd12_out += Xd12C_out * si3;
+ p5 = Xd12C_out * si3;
+
+ Xb12_out -= p0;
+ Yb12_out += p1;
+ Xc12_out -= p2;
+ Yc12_out += p3;
+ Xd12_out -= p4;
+ Yd12_out += p5;
+
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = Xc12_out;
+
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = Yc12_out;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = Xb12_out;
+
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = Yb12_out;
+
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = Xd12_out;
+
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = Yd12_out;
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ /* Updating input index */
+ i0 = i0 + 1U;
+
+ } while (--j);
+
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of second stage to excluding last stage */
+ for (k = fftLen >> 2U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the first stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ /* Calculation of first stage */
+ j = 0;
+ do
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ i0 = j;
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ xaIn = pSrc[(2U * i0)];
+ yaIn = pSrc[(2U * i0) + 1U];
+
+ xbIn = pSrc[(2U * i1)];
+ ybIn = pSrc[(2U * i1) + 1U];
+
+ xcIn = pSrc[(2U * i2)];
+ ycIn = pSrc[(2U * i2) + 1U];
+
+ xdIn = pSrc[(2U * i3)];
+ ydIn = pSrc[(2U * i3) + 1U];
+
+ /* xa - xc */
+ Xaminusc = xaIn - xcIn;
+ /* (xb - xd) */
+ Xbminusd = xbIn - xdIn;
+ /* ya - yc */
+ Yaminusc = yaIn - ycIn;
+ /* (yb - yd) */
+ Ybminusd = ybIn - ydIn;
+
+ /* xa + xc */
+ Xaplusc = xaIn + xcIn;
+ /* xb + xd */
+ Xbplusd = xbIn + xdIn;
+ /* ya + yc */
+ Yaplusc = yaIn + ycIn;
+ /* yb + yd */
+ Ybplusd = ybIn + ydIn;
+
+ /* (xa - xc) - (yb - yd) */
+ Xb12C_out = (Xaminusc - Ybminusd);
+ /* (ya - yc) + (xb - xd) */
+ Yb12C_out = (Yaminusc + Xbminusd);
+ /* xa + xc -(xb + xd) */
+ Xc12C_out = (Xaplusc - Xbplusd);
+ /* (ya + yc) - (yb + yd) */
+ Yc12C_out = (Yaplusc - Ybplusd);
+ /* (xa - xc) + (yb - yd) */
+ Xd12C_out = (Xaminusc + Ybminusd);
+ /* (ya - yc) - (xb - xd) */
+ Yd12C_out = (Yaminusc - Xbminusd);
+
+ pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+ pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+ Xb12_out = Xb12C_out * co1;
+ Yb12_out = Yb12C_out * co1;
+ Xc12_out = Xc12C_out * co2;
+ Yc12_out = Yc12C_out * co2;
+ Xd12_out = Xd12C_out * co3;
+ Yd12_out = Yd12C_out * co3;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ //Xb12_out -= Yb12C_out * si1;
+ p0 = Yb12C_out * si1;
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ //Yb12_out += Xb12C_out * si1;
+ p1 = Xb12C_out * si1;
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ //Xc12_out -= Yc12C_out * si2;
+ p2 = Yc12C_out * si2;
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ //Yc12_out += Xc12C_out * si2;
+ p3 = Xc12C_out * si2;
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ //Xd12_out -= Yd12C_out * si3;
+ p4 = Yd12C_out * si3;
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ //Yd12_out += Xd12C_out * si3;
+ p5 = Xd12C_out * si3;
+
+ Xb12_out -= p0;
+ Yb12_out += p1;
+ Xc12_out -= p2;
+ Yc12_out += p3;
+ Xd12_out -= p4;
+ Yd12_out += p5;
+
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = Xc12_out;
+
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = Yc12_out;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = Xb12_out;
+
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = Yb12_out;
+
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = Xd12_out;
+
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = Yd12_out;
+
+ i0 += n1;
+ } while (i0 < fftLen);
+ j++;
+ } while (j <= (n2 - 1U));
+ twidCoefModifier <<= 2U;
+ }
+ /* Initializations of last stage */
+
+ j = fftLen >> 2;
+ ptr1 = &pSrc[0];
+
+ /* Calculations of last stage */
+ do
+ {
+ xaIn = ptr1[0];
+ yaIn = ptr1[1];
+ xbIn = ptr1[2];
+ ybIn = ptr1[3];
+ xcIn = ptr1[4];
+ ycIn = ptr1[5];
+ xdIn = ptr1[6];
+ ydIn = ptr1[7];
+
+ /* Butterfly implementation */
+ /* xa + xc */
+ Xaplusc = xaIn + xcIn;
+
+ /* xa - xc */
+ Xaminusc = xaIn - xcIn;
+
+ /* ya + yc */
+ Yaplusc = yaIn + ycIn;
+
+ /* ya - yc */
+ Yaminusc = yaIn - ycIn;
+
+ /* xb + xd */
+ Xbplusd = xbIn + xdIn;
+
+ /* yb + yd */
+ Ybplusd = ybIn + ydIn;
+
+ /* (xb-xd) */
+ Xbminusd = xbIn - xdIn;
+
+ /* (yb-yd) */
+ Ybminusd = ybIn - ydIn;
+
+ /* xa' = (xa+xb+xc+xd) * onebyfftLen */
+ a0 = (Xaplusc + Xbplusd);
+ /* ya' = (ya+yb+yc+yd) * onebyfftLen */
+ a1 = (Yaplusc + Ybplusd);
+ /* xc' = (xa-xb+xc-xd) * onebyfftLen */
+ a2 = (Xaplusc - Xbplusd);
+ /* yc' = (ya-yb+yc-yd) * onebyfftLen */
+ a3 = (Yaplusc - Ybplusd);
+ /* xb' = (xa-yb-xc+yd) * onebyfftLen */
+ a4 = (Xaminusc - Ybminusd);
+ /* yb' = (ya+xb-yc-xd) * onebyfftLen */
+ a5 = (Yaminusc + Xbminusd);
+ /* xd' = (xa-yb-xc+yd) * onebyfftLen */
+ a6 = (Xaminusc + Ybminusd);
+ /* yd' = (ya-xb-yc+xd) * onebyfftLen */
+ a7 = (Yaminusc - Xbminusd);
+
+ p0 = a0 * onebyfftLen;
+ p1 = a1 * onebyfftLen;
+ p2 = a2 * onebyfftLen;
+ p3 = a3 * onebyfftLen;
+ p4 = a4 * onebyfftLen;
+ p5 = a5 * onebyfftLen;
+ p6 = a6 * onebyfftLen;
+ p7 = a7 * onebyfftLen;
+
+ /* xa' = (xa+xb+xc+xd) * onebyfftLen */
+ ptr1[0] = p0;
+ /* ya' = (ya+yb+yc+yd) * onebyfftLen */
+ ptr1[1] = p1;
+ /* xc' = (xa-xb+xc-xd) * onebyfftLen */
+ ptr1[2] = p2;
+ /* yc' = (ya-yb+yc-yd) * onebyfftLen */
+ ptr1[3] = p3;
+ /* xb' = (xa-yb-xc+yd) * onebyfftLen */
+ ptr1[4] = p4;
+ /* yb' = (ya+xb-yc-xd) * onebyfftLen */
+ ptr1[5] = p5;
+ /* xd' = (xa-yb-xc+yd) * onebyfftLen */
+ ptr1[6] = p6;
+ /* yd' = (ya-xb-yc+xd) * onebyfftLen */
+ ptr1[7] = p7;
+
+ /* increment source pointer by 8 for next calculations */
+ ptr1 = ptr1 + 8U;
+
+ } while (--j);
+
+#else
+
+ float32_t t1, t2, r1, r2, s1, s2;
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* Calculation of first stage */
+ for (k = fftLen; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the first stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ /* Calculation of first stage */
+ j = 0;
+ do
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ i0 = j;
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* xa + xc */
+ r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
+
+ /* xa - xc */
+ r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
+
+ /* ya + yc */
+ s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+ /* ya - yc */
+ s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+ /* xb + xd */
+ t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = r1 + t1;
+
+ /* xa + xc -(xb + xd) */
+ r1 = r1 - t1;
+
+ /* yb + yd */
+ t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = s1 + t2;
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* (yb - yd) */
+ t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+ /* (xb - xd) */
+ t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (r1 * co2) - (s1 * si2);
+
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = (s1 * co2) + (r1 * si2);
+
+ /* (xa - xc) - (yb - yd) */
+ r1 = r2 - t1;
+
+ /* (xa - xc) + (yb - yd) */
+ r2 = r2 + t1;
+
+ /* (ya - yc) + (xb - xd) */
+ s1 = s2 + t2;
+
+ /* (ya - yc) - (xb - xd) */
+ s2 = s2 - t2;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (r1 * co1) - (s1 * si1);
+
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (s1 * co1) + (r1 * si1);
+
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = (r2 * co3) - (s2 * si3);
+
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (s2 * co3) + (r2 * si3);
+
+ i0 += n1;
+ } while ( i0 < fftLen);
+ j++;
+ } while (j <= (n2 - 1U));
+ twidCoefModifier <<= 2U;
+ }
+ /* Initializations of last stage */
+ n1 = n2;
+ n2 >>= 2U;
+
+ /* Calculations of last stage */
+ for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Butterfly implementation */
+ /* xa + xc */
+ r1 = pSrc[2U * i0] + pSrc[2U * i2];
+
+ /* xa - xc */
+ r2 = pSrc[2U * i0] - pSrc[2U * i2];
+
+ /* ya + yc */
+ s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+ /* ya - yc */
+ s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+ /* xc + xd */
+ t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = (r1 + t1) * onebyfftLen;
+
+ /* (xa + xb) - (xc + xd) */
+ r1 = r1 - t1;
+
+ /* yb + yd */
+ t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = (s1 + t2) * onebyfftLen;
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* (yb-yd) */
+ t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+ /* (xb-xd) */
+ t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = r1 * onebyfftLen;
+
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = s1 * onebyfftLen;
+
+ /* (xa - xc) - (yb-yd) */
+ r1 = r2 - t1;
+
+ /* (xa - xc) + (yb-yd) */
+ r2 = r2 + t1;
+
+ /* (ya - yc) + (xb-xd) */
+ s1 = s2 + t2;
+
+ /* (ya - yc) - (xb-xd) */
+ s2 = s2 - t2;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = r1 * onebyfftLen;
+
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = s1 * onebyfftLen;
+
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = r2 * onebyfftLen;
+
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = s2 * onebyfftLen;
+ }
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+}
+
+
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
new file mode 100644
index 0000000..930c2c1
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
@@ -0,0 +1,156 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix4_init_f32.c
+ * Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed in the future.
+ @param[in,out] S points to an instance of the floating-point CFFT/CIFFT structure
+ @param[in] fftLen length of the FFT
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Details
+ The parameter ifftFlag controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_cfft_radix4_init_f32(
+ arm_cfft_radix4_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialise the FFT length */
+ S->fftLen = fftLen;
+
+ /* Initialise the Twiddle coefficient pointer */
+ S->pTwiddle = (float32_t *) twiddleCoef;
+
+ /* Initialise the Flag for selection of CFFT or CIFFT */
+ S->ifftFlag = ifftFlag;
+
+ /* Initialise the Flag for calculation Bit reversal or not */
+ S->bitReverseFlag = bitReverseFlag;
+
+ /* Initializations of structure parameters depending on the FFT length */
+ switch (S->fftLen)
+ {
+
+ case 4096U:
+ /* Initializations of structure parameters for 4096 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 1U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 1U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) armBitRevTable;
+ /* Initialise the 1/fftLen Value */
+ S->onebyfftLen = 0.000244140625;
+ break;
+
+ case 1024U:
+ /* Initializations of structure parameters for 1024 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 4U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 4U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+ /* Initialise the 1/fftLen Value */
+ S->onebyfftLen = 0.0009765625f;
+ break;
+
+
+ case 256U:
+ /* Initializations of structure parameters for 256 point FFT */
+ S->twidCoefModifier = 16U;
+ S->bitRevFactor = 16U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+ S->onebyfftLen = 0.00390625f;
+ break;
+
+ case 64U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 64U;
+ S->bitRevFactor = 64U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+ S->onebyfftLen = 0.015625f;
+ break;
+
+ case 16U:
+ /* Initializations of structure parameters for 16 point FFT */
+ S->twidCoefModifier = 256U;
+ S->bitRevFactor = 256U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+ S->onebyfftLen = 0.0625f;
+ break;
+
+
+ default:
+ /* Reporting argument error if fftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
new file mode 100644
index 0000000..0090688
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
@@ -0,0 +1,145 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix4_init_q15.c
+ * Description: Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+
+/**
+ @brief Initialization function for the Q15 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future.
+ @param[in,out] S points to an instance of the Q15 CFFT/CIFFT structure
+ @param[in] fftLen length of the FFT
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Details
+ The parameter ifftFlag controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_cfft_radix4_init_q15(
+ arm_cfft_radix4_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+ /* Initialise the FFT length */
+ S->fftLen = fftLen;
+ /* Initialise the Twiddle coefficient pointer */
+ S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
+ /* Initialise the Flag for selection of CFFT or CIFFT */
+ S->ifftFlag = ifftFlag;
+ /* Initialise the Flag for calculation Bit reversal or not */
+ S->bitReverseFlag = bitReverseFlag;
+
+ /* Initializations of structure parameters depending on the FFT length */
+ switch (S->fftLen)
+ {
+ case 4096U:
+ /* Initializations of structure parameters for 4096 point FFT */
+
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 1U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 1U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) armBitRevTable;
+
+ break;
+
+ case 1024U:
+ /* Initializations of structure parameters for 1024 point FFT */
+ S->twidCoefModifier = 4U;
+ S->bitRevFactor = 4U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+
+ break;
+
+ case 256U:
+ /* Initializations of structure parameters for 256 point FFT */
+ S->twidCoefModifier = 16U;
+ S->bitRevFactor = 16U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+
+ break;
+
+ case 64U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 64U;
+ S->bitRevFactor = 64U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+
+ break;
+
+ case 16U:
+ /* Initializations of structure parameters for 16 point FFT */
+ S->twidCoefModifier = 256U;
+ S->bitRevFactor = 256U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+
+ break;
+
+ default:
+ /* Reporting argument error if fftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
new file mode 100644
index 0000000..17d16b7
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
@@ -0,0 +1,141 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix4_init_q31.c
+ * Description: Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+
+ @brief Initialization function for the Q31 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+ @param[in,out] S points to an instance of the Q31 CFFT/CIFFT structure.
+ @param[in] fftLen length of the FFT.
+ @param[in] ifftFlag flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Details
+ The parameter ifftFlag controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix4_init_q31(
+ arm_cfft_radix4_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+ /* Initialise the FFT length */
+ S->fftLen = fftLen;
+ /* Initialise the Twiddle coefficient pointer */
+ S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
+ /* Initialise the Flag for selection of CFFT or CIFFT */
+ S->ifftFlag = ifftFlag;
+ /* Initialise the Flag for calculation Bit reversal or not */
+ S->bitReverseFlag = bitReverseFlag;
+
+ /* Initializations of Instance structure depending on the FFT length */
+ switch (S->fftLen)
+ {
+ /* Initializations of structure parameters for 4096 point FFT */
+ case 4096U:
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 1U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 1U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) armBitRevTable;
+ break;
+
+ /* Initializations of structure parameters for 1024 point FFT */
+ case 1024U:
+ /* Initialise the twiddle coef modifier value */
+ S->twidCoefModifier = 4U;
+ /* Initialise the bit reversal table modifier */
+ S->bitRevFactor = 4U;
+ /* Initialise the bit reversal table pointer */
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+ break;
+
+ case 256U:
+ /* Initializations of structure parameters for 256 point FFT */
+ S->twidCoefModifier = 16U;
+ S->bitRevFactor = 16U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+ break;
+
+ case 64U:
+ /* Initializations of structure parameters for 64 point FFT */
+ S->twidCoefModifier = 64U;
+ S->bitRevFactor = 64U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+ break;
+
+ case 16U:
+ /* Initializations of structure parameters for 16 point FFT */
+ S->twidCoefModifier = 256U;
+ S->bitRevFactor = 256U;
+ S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+ break;
+
+ default:
+ /* Reporting argument error if fftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c
new file mode 100644
index 0000000..b4cabb1
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c
@@ -0,0 +1,1809 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix4_q15.c
+ * Description: This file has function definition of Radix-4 FFT & IFFT function and
+ * In-place bit reversal using bit reversal table
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+
+void arm_radix4_butterfly_q15(
+ q15_t * pSrc16,
+ uint32_t fftLen,
+ const q15_t * pCoef16,
+ uint32_t twidCoefModifier);
+
+void arm_radix4_butterfly_inverse_q15(
+ q15_t * pSrc16,
+ uint32_t fftLen,
+ const q15_t * pCoef16,
+ uint32_t twidCoefModifier);
+
+void arm_bitreversal_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+
+/**
+ @brief Processing function for the Q15 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future.
+ @param[in] S points to an instance of the Q15 CFFT/CIFFT structure.
+ @param[in,out] pSrc points to the complex data buffer. Processing occurs in-place.
+ @return none
+
+ @par Input and output formats:
+ Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+ Hence the output format is different for different FFT sizes.
+ The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:
+ @par
+ \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT"
+ \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT"
+ */
+
+void arm_cfft_radix4_q15(
+ const arm_cfft_radix4_instance_q15 * S,
+ q15_t * pSrc)
+{
+ if (S->ifftFlag == 1U)
+ {
+ /* Complex IFFT radix-4 */
+ arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+ else
+ {
+ /* Complex FFT radix-4 */
+ arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+
+ if (S->bitReverseFlag == 1U)
+ {
+ /* Bit Reversal */
+ arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+ }
+
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+/*
+ * Radix-4 FFT algorithm used is :
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 FFT:
+ * Wn = co1 + j * (- si1)
+ * W2n = co2 + j * (- si2)
+ * W3n = co3 + j * (- si3)
+
+ * The real and imaginary output values for the radix-4 butterfly are
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
+ * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
+ * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
+ * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
+ *
+ */
+
+/**
+ @brief Core function for the Q15 CFFT butterfly process.
+ @param[in,out] pSrc16 points to the in-place buffer of Q15 data type
+ @param[in] fftLen length of the FFT
+ @param[in] pCoef16 points to twiddle coefficient buffer
+ @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+ */
+
+void arm_radix4_butterfly_q15(
+ q15_t * pSrc16,
+ uint32_t fftLen,
+ const q15_t * pCoef16,
+ uint32_t twidCoefModifier)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ q31_t R, S, T, U;
+ q31_t C1, C2, C3, out1, out2;
+ uint32_t n1, n2, ic, i0, j, k;
+
+ q15_t *ptr1;
+ q15_t *pSi0;
+ q15_t *pSi1;
+ q15_t *pSi2;
+ q15_t *pSi3;
+
+ q31_t xaya, xbyb, xcyc, xdyd;
+
+ /* Total process is divided into three stages */
+
+ /* process first stage, middle stages, & last stage */
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+
+ /* Index for twiddle coefficient */
+ ic = 0U;
+
+ /* Index for input read and output write */
+ j = n2;
+
+ pSi0 = pSrc16;
+ pSi1 = pSi0 + 2 * n2;
+ pSi2 = pSi1 + 2 * n2;
+ pSi3 = pSi2 + 2 * n2;
+
+ /* Input is in 1.15(q15) format */
+
+ /* start of first stage process */
+ do
+ {
+ /* Butterfly implementation */
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T = read_q15x2 (pSi0);
+ T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
+ T = __SHADD16(T, 0); /* it turns out doing this twice is 2 cycles, the alternative takes 3 cycles */
+/*
+ in = ((int16_t) (T & 0xFFFF)) >> 2; // alternative code that takes 3 cycles
+ T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+*/
+
+ /* Read yc (real), xc(imag) input */
+ S = read_q15x2 (pSi2);
+ S = __SHADD16(S, 0);
+ S = __SHADD16(S, 0);
+
+ /* R = packed((ya + yc), (xa + xc) ) */
+ R = __QADD16(T, S);
+
+ /* S = packed((ya - yc), (xa - xc) ) */
+ S = __QSUB16(T, S);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T = read_q15x2 (pSi1);
+ T = __SHADD16(T, 0);
+ T = __SHADD16(T, 0);
+
+ /* Read yd (real), xd(imag) input */
+ U = read_q15x2 (pSi3);
+ U = __SHADD16(U, 0);
+ U = __SHADD16(U, 0);
+
+ /* T = packed((yb + yd), (xb + xd) ) */
+ T = __QADD16(T, U);
+
+ /* writing the butterfly processed i0 sample */
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ write_q15x2_ia (&pSi0, __SHADD16(R, T));
+
+ /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
+ R = __QSUB16(R, T);
+
+ /* co2 & si2 are read from SIMD Coefficient pointer */
+ C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ out1 = __SMUAD(C2, R) >> 16U;
+ /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out2 = __SMUSDX(C2, R);
+#else
+ /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out1 = __SMUSDX(R, C2) >> 16U;
+ /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ out2 = __SMUAD(C2, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Reading i0+fftLen/4 */
+ /* T = packed(yb, xb) */
+ T = read_q15x2 (pSi1);
+ T = __SHADD16(T, 0);
+ T = __SHADD16(T, 0);
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* writing output(xc', yc') in little endian format */
+ write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ /* Butterfly calculations */
+ /* U = packed(yd, xd) */
+ U = read_q15x2 (pSi3);
+ U = __SHADD16(U, 0);
+ U = __SHADD16(U, 0);
+
+ /* T = packed(yb-yd, xb-xd) */
+ T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __QASX(S, T);
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __QSAX(S, T);
+#else
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __QSAX(S, T);
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __QASX(S, T);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* co1 & si1 are read from SIMD Coefficient pointer */
+ C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+ /* Butterfly process for the i0+fftLen/2 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ out1 = __SMUAD(C1, S) >> 16U;
+ /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ out2 = __SMUSDX(C1, S);
+#else
+ /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ out1 = __SMUSDX(S, C1) >> 16U;
+ /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ out2 = __SMUAD(C1, S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* writing output(xb', yb') in little endian format */
+ write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF));
+
+ /* co3 & si3 are read from SIMD Coefficient pointer */
+ C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+ /* Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+ out1 = __SMUAD(C3, R) >> 16U;
+ /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+ out2 = __SMUSDX(C3, R);
+#else
+ /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+ out1 = __SMUSDX(R, C3) >> 16U;
+ /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+ out2 = __SMUAD(C3, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* writing output(xd', yd') in little endian format */
+ write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ } while (--j);
+ /* data is in 4.11(q11) format */
+
+ /* end of first stage process */
+
+
+ /* start of middle stage process */
+
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of Middle stage */
+ for (k = fftLen / 4U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the middle stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ic = 0U;
+
+ for (j = 0U; j <= (n2 - 1U); j++)
+ {
+ /* index calculation for the coefficients */
+ C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+ C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+ C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ pSi0 = pSrc16 + 2 * j;
+ pSi1 = pSi0 + 2 * n2;
+ pSi2 = pSi1 + 2 * n2;
+ pSi3 = pSi2 + 2 * n2;
+
+ /* Butterfly implementation */
+ for (i0 = j; i0 < fftLen; i0 += n1)
+ {
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T = read_q15x2 (pSi0);
+
+ /* Read yc (real), xc(imag) input */
+ S = read_q15x2 (pSi2);
+
+ /* R = packed( (ya + yc), (xa + xc)) */
+ R = __QADD16(T, S);
+
+ /* S = packed((ya - yc), (xa - xc)) */
+ S = __QSUB16(T, S);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T = read_q15x2 (pSi1);
+
+ /* Read yd (real), xd(imag) input */
+ U = read_q15x2 (pSi3);
+
+ /* T = packed( (yb + yd), (xb + xd)) */
+ T = __QADD16(T, U);
+
+ /* writing the butterfly processed i0 sample */
+
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ out1 = __SHADD16(R, T);
+ out1 = __SHADD16(out1, 0);
+ write_q15x2 (pSi0, out1);
+ pSi0 += 2 * n1;
+
+ /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
+ R = __SHSUB16(R, T);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+ out1 = __SMUAD(C2, R) >> 16U;
+
+ /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out2 = __SMUSDX(C2, R);
+#else
+ /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out1 = __SMUSDX(R, C2) >> 16U;
+
+ /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+ out2 = __SMUAD(C2, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Reading i0+3fftLen/4 */
+ /* Read yb (real), xb(imag) input */
+ T = read_q15x2 (pSi1);
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ pSi1 += 2 * n1;
+
+ /* Butterfly calculations */
+
+ /* Read yd (real), xd(imag) input */
+ U = read_q15x2 (pSi3);
+
+ /* T = packed(yb-yd, xb-xd) */
+ T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __SHASX(S, T);
+
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __SHSAX(S, T);
+
+
+ /* Butterfly process for the i0+fftLen/2 sample */
+ out1 = __SMUAD(C1, S) >> 16U;
+ out2 = __SMUSDX(C1, S);
+#else
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __SHSAX(S, T);
+
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __SHASX(S, T);
+
+
+ /* Butterfly process for the i0+fftLen/2 sample */
+ out1 = __SMUSDX(S, C1) >> 16U;
+ out2 = __SMUAD(C1, S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ pSi2 += 2 * n1;
+
+ /* Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUAD(C3, R) >> 16U;
+ out2 = __SMUSDX(C3, R);
+#else
+ out1 = __SMUSDX(R, C3) >> 16U;
+ out2 = __SMUAD(C3, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+ /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+ write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ pSi3 += 2 * n1;
+ }
+ }
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+ }
+ /* end of middle stage process */
+
+
+ /* data is in 10.6(q6) format for the 1024 point */
+ /* data is in 8.8(q8) format for the 256 point */
+ /* data is in 6.10(q10) format for the 64 point */
+ /* data is in 4.12(q12) format for the 16 point */
+
+ /* Initializations for the last stage */
+ j = fftLen >> 2;
+
+ ptr1 = &pSrc16[0];
+
+ /* start of last stage process */
+
+ /* Butterfly implementation */
+ do
+ {
+ /* Read xa (real), ya(imag) input */
+ xaya = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* Read xb (real), yb(imag) input */
+ xbyb = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* Read xc (real), yc(imag) input */
+ xcyc = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* Read xd (real), yd(imag) input */
+ xdyd = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* R = packed((ya + yc), (xa + xc)) */
+ R = __QADD16(xaya, xcyc);
+
+ /* T = packed((yb + yd), (xb + xd)) */
+ T = __QADD16(xbyb, xdyd);
+
+ /* pointer updation for writing */
+ ptr1 = ptr1 - 8U;
+
+
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ write_q15x2_ia (&ptr1, __SHADD16(R, T));
+
+ /* T = packed((yb + yd), (xb + xd)) */
+ T = __QADD16(xbyb, xdyd);
+
+ /* xc' = (xa-xb+xc-xd) */
+ /* yc' = (ya-yb+yc-yd) */
+ write_q15x2_ia (&ptr1, __SHSUB16(R, T));
+
+ /* S = packed((ya - yc), (xa - xc)) */
+ S = __QSUB16(xaya, xcyc);
+
+ /* Read yd (real), xd(imag) input */
+ /* T = packed( (yb - yd), (xb - xd)) */
+ U = __QSUB16(xbyb, xdyd);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xb' = (xa+yb-xc-yd) */
+ /* yb' = (ya-xb-yc+xd) */
+ write_q15x2_ia (&ptr1, __SHSAX(S, U));
+
+ /* xd' = (xa-yb-xc+yd) */
+ /* yd' = (ya+xb-yc-xd) */
+ write_q15x2_ia (&ptr1, __SHASX(S, U));
+#else
+ /* xb' = (xa+yb-xc-yd) */
+ /* yb' = (ya-xb-yc+xd) */
+ write_q15x2_ia (&ptr1, __SHASX(S, U));
+
+ /* xd' = (xa-yb-xc+yd) */
+ /* yd' = (ya+xb-yc-xd) */
+ write_q15x2_ia (&ptr1, __SHSAX(S, U));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ } while (--j);
+
+ /* end of last stage process */
+
+ /* output is in 11.5(q5) format for the 1024 point */
+ /* output is in 9.7(q7) format for the 256 point */
+ /* output is in 7.9(q9) format for the 64 point */
+ /* output is in 5.11(q11) format for the 16 point */
+
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ q15_t R0, R1, S0, S1, T0, T1, U0, U1;
+ q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
+ uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
+
+ /* Total process is divided into three stages */
+
+ /* process first stage, middle stages, & last stage */
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+
+ /* Index for twiddle coefficient */
+ ic = 0U;
+
+ /* Index for input read and output write */
+ i0 = 0U;
+ j = n2;
+
+ /* Input is in 1.15(q15) format */
+
+ /* start of first stage process */
+ do
+ {
+ /* Butterfly implementation */
+
+ /* index calculation for the input as, */
+ /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Reading i0, i0+fftLen/2 inputs */
+
+ /* input is down scale by 4 to avoid overflow */
+ /* Read ya (real), xa(imag) input */
+ T0 = pSrc16[i0 * 2U] >> 2U;
+ T1 = pSrc16[(i0 * 2U) + 1U] >> 2U;
+
+ /* input is down scale by 4 to avoid overflow */
+ /* Read yc (real), xc(imag) input */
+ S0 = pSrc16[i2 * 2U] >> 2U;
+ S1 = pSrc16[(i2 * 2U) + 1U] >> 2U;
+
+ /* R0 = (ya + yc) */
+ R0 = __SSAT(T0 + S0, 16U);
+ /* R1 = (xa + xc) */
+ R1 = __SSAT(T1 + S1, 16U);
+
+ /* S0 = (ya - yc) */
+ S0 = __SSAT(T0 - S0, 16);
+ /* S1 = (xa - xc) */
+ S1 = __SSAT(T1 - S1, 16);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* input is down scale by 4 to avoid overflow */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U] >> 2U;
+ T1 = pSrc16[(i1 * 2U) + 1U] >> 2U;
+
+ /* input is down scale by 4 to avoid overflow */
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U] >> 2U;
+ U1 = pSrc16[(i3 * 2U) + 1] >> 2U;
+
+ /* T0 = (yb + yd) */
+ T0 = __SSAT(T0 + U0, 16U);
+ /* T1 = (xb + xd) */
+ T1 = __SSAT(T1 + U1, 16U);
+
+ /* writing the butterfly processed i0 sample */
+ /* ya' = ya + yb + yc + yd */
+ /* xa' = xa + xb + xc + xd */
+ pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+ pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+ /* R0 = (ya + yc) - (yb + yd) */
+ /* R1 = (xa + xc) - (xb + xd) */
+ R0 = __SSAT(R0 - T0, 16U);
+ R1 = __SSAT(R1 - T1, 16U);
+
+ /* co2 & si2 are read from Coefficient pointer */
+ Co2 = pCoef16[2U * ic * 2U];
+ Si2 = pCoef16[(2U * ic * 2U) + 1];
+
+ /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U);
+ /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U);
+
+ /* Reading i0+fftLen/4 */
+ /* input is down scale by 4 to avoid overflow */
+ /* T0 = yb, T1 = xb */
+ T0 = pSrc16[i1 * 2U] >> 2;
+ T1 = pSrc16[(i1 * 2U) + 1] >> 2;
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* writing output(xc', yc') in little endian format */
+ pSrc16[i1 * 2U] = out1;
+ pSrc16[(i1 * 2U) + 1] = out2;
+
+ /* Butterfly calculations */
+ /* input is down scale by 4 to avoid overflow */
+ /* U0 = yd, U1 = xd */
+ U0 = pSrc16[i3 * 2U] >> 2;
+ U1 = pSrc16[(i3 * 2U) + 1] >> 2;
+ /* T0 = yb-yd */
+ T0 = __SSAT(T0 - U0, 16);
+ /* T1 = xb-xd */
+ T1 = __SSAT(T1 - U1, 16);
+
+ /* R1 = (ya-yc) + (xb- xd), R0 = (xa-xc) - (yb-yd)) */
+ R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+ R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
+
+ /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
+ S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16U);
+ S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16U);
+
+ /* co1 & si1 are read from Coefficient pointer */
+ Co1 = pCoef16[ic * 2U];
+ Si1 = pCoef16[(ic * 2U) + 1];
+ /* Butterfly process for the i0+fftLen/2 sample */
+ /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16);
+ /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16);
+
+ /* writing output(xb', yb') in little endian format */
+ pSrc16[i2 * 2U] = out1;
+ pSrc16[(i2 * 2U) + 1] = out2;
+
+ /* Co3 & si3 are read from Coefficient pointer */
+ Co3 = pCoef16[3U * (ic * 2U)];
+ Si3 = pCoef16[(3U * (ic * 2U)) + 1];
+ /* Butterfly process for the i0+3fftLen/4 sample */
+ /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
+ out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U);
+ /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
+ out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U);
+ /* writing output(xd', yd') in little endian format */
+ pSrc16[i3 * 2U] = out1;
+ pSrc16[(i3 * 2U) + 1] = out2;
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ /* Updating input index */
+ i0 = i0 + 1U;
+
+ } while (--j);
+ /* data is in 4.11(q11) format */
+
+ /* end of first stage process */
+
+
+ /* start of middle stage process */
+
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of Middle stage */
+ for (k = fftLen / 4U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the middle stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ic = 0U;
+
+ for (j = 0U; j <= (n2 - 1U); j++)
+ {
+ /* index calculation for the coefficients */
+ Co1 = pCoef16[ic * 2U];
+ Si1 = pCoef16[(ic * 2U) + 1U];
+ Co2 = pCoef16[2U * (ic * 2U)];
+ Si2 = pCoef16[(2U * (ic * 2U)) + 1U];
+ Co3 = pCoef16[3U * (ic * 2U)];
+ Si3 = pCoef16[(3U * (ic * 2U)) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ /* Butterfly implementation */
+ for (i0 = j; i0 < fftLen; i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T0 = pSrc16[i0 * 2U];
+ T1 = pSrc16[(i0 * 2U) + 1U];
+
+ /* Read yc (real), xc(imag) input */
+ S0 = pSrc16[i2 * 2U];
+ S1 = pSrc16[(i2 * 2U) + 1U];
+
+ /* R0 = (ya + yc), R1 = (xa + xc) */
+ R0 = __SSAT(T0 + S0, 16);
+ R1 = __SSAT(T1 + S1, 16);
+
+ /* S0 = (ya - yc), S1 =(xa - xc) */
+ S0 = __SSAT(T0 - S0, 16);
+ S1 = __SSAT(T1 - S1, 16);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+
+
+ /* T0 = (yb + yd), T1 = (xb + xd) */
+ T0 = __SSAT(T0 + U0, 16);
+ T1 = __SSAT(T1 + U1, 16);
+
+ /* writing the butterfly processed i0 sample */
+
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ out1 = ((R0 >> 1U) + (T0 >> 1U)) >> 1U;
+ out2 = ((R1 >> 1U) + (T1 >> 1U)) >> 1U;
+
+ pSrc16[i0 * 2U] = out1;
+ pSrc16[(2U * i0) + 1U] = out2;
+
+ /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+ R0 = (R0 >> 1U) - (T0 >> 1U);
+ R1 = (R1 >> 1U) - (T1 >> 1U);
+
+ /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+ out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U);
+
+ /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U);
+
+ /* Reading i0+3fftLen/4 */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ pSrc16[i1 * 2U] = out1;
+ pSrc16[(i1 * 2U) + 1U] = out2;
+
+ /* Butterfly calculations */
+
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+
+ /* T0 = yb-yd, T1 = xb-xd */
+ T0 = __SSAT(T0 - U0, 16);
+ T1 = __SSAT(T1 - U1, 16);
+
+ /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */
+ R0 = (S0 >> 1U) - (T1 >> 1U);
+ R1 = (S1 >> 1U) + (T0 >> 1U);
+
+ /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */
+ S0 = (S0 >> 1U) + (T1 >> 1U);
+ S1 = (S1 >> 1U) - (T0 >> 1U);
+
+ /* Butterfly process for the i0+fftLen/2 sample */
+ out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16U);
+
+ out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16U);
+
+ /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ pSrc16[i2 * 2U] = out1;
+ pSrc16[(i2 * 2U) + 1U] = out2;
+
+ /* Butterfly process for the i0+3fftLen/4 sample */
+ out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U);
+
+ out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U);
+ /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
+ /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
+ pSrc16[i3 * 2U] = out1;
+ pSrc16[(i3 * 2U) + 1U] = out2;
+ }
+ }
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+ }
+ /* end of middle stage process */
+
+
+ /* data is in 10.6(q6) format for the 1024 point */
+ /* data is in 8.8(q8) format for the 256 point */
+ /* data is in 6.10(q10) format for the 64 point */
+ /* data is in 4.12(q12) format for the 16 point */
+
+ /* Initializations for the last stage */
+ n1 = n2;
+ n2 >>= 2U;
+
+ /* start of last stage process */
+
+ /* Butterfly implementation */
+ for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T0 = pSrc16[i0 * 2U];
+ T1 = pSrc16[(i0 * 2U) + 1U];
+
+ /* Read yc (real), xc(imag) input */
+ S0 = pSrc16[i2 * 2U];
+ S1 = pSrc16[(i2 * 2U) + 1U];
+
+ /* R0 = (ya + yc), R1 = (xa + xc) */
+ R0 = __SSAT(T0 + S0, 16U);
+ R1 = __SSAT(T1 + S1, 16U);
+
+ /* S0 = (ya - yc), S1 = (xa - xc) */
+ S0 = __SSAT(T0 - S0, 16U);
+ S1 = __SSAT(T1 - S1, 16U);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+
+ /* T0 = (yb + yd), T1 = (xb + xd)) */
+ T0 = __SSAT(T0 + U0, 16U);
+ T1 = __SSAT(T1 + U1, 16U);
+
+ /* writing the butterfly processed i0 sample */
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+ pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+ /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+ R0 = (R0 >> 1U) - (T0 >> 1U);
+ R1 = (R1 >> 1U) - (T1 >> 1U);
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* xc' = (xa-xb+xc-xd) */
+ /* yc' = (ya-yb+yc-yd) */
+ pSrc16[i1 * 2U] = R0;
+ pSrc16[(i1 * 2U) + 1U] = R1;
+
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+ /* T0 = (yb - yd), T1 = (xb - xd) */
+ T0 = __SSAT(T0 - U0, 16U);
+ T1 = __SSAT(T1 - U1, 16U);
+
+ /* writing the butterfly processed i0 + fftLen/2 sample */
+ /* xb' = (xa+yb-xc-yd) */
+ /* yb' = (ya-xb-yc+xd) */
+ pSrc16[i2 * 2U] = (S0 >> 1U) + (T1 >> 1U);
+ pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U);
+
+ /* writing the butterfly processed i0 + 3fftLen/4 sample */
+ /* xd' = (xa-yb-xc+yd) */
+ /* yd' = (ya+xb-yc-xd) */
+ pSrc16[i3 * 2U] = (S0 >> 1U) - (T1 >> 1U);
+ pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U);
+
+ }
+
+ /* end of last stage process */
+
+ /* output is in 11.5(q5) format for the 1024 point */
+ /* output is in 9.7(q7) format for the 256 point */
+ /* output is in 7.9(q9) format for the 64 point */
+ /* output is in 5.11(q11) format for the 16 point */
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+/**
+ @brief Core function for the Q15 CIFFT butterfly process.
+ @param[in,out] pSrc16 points to the in-place buffer of Q15 data type
+ @param[in] fftLen length of the FFT
+ @param[in] pCoef16 points to twiddle coefficient buffer
+ @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+ @return none
+ */
+
+/*
+ * Radix-4 IFFT algorithm used is :
+ *
+ * CIFFT uses same twiddle coefficients as CFFT function
+ * x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]
+ *
+ *
+ * IFFT is implemented with following changes in equations from FFT
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 IFFT:
+ * Wn = co1 + j * (si1)
+ * W2n = co2 + j * (si2)
+ * W3n = co3 + j * (si3)
+
+ * The real and imaginary output values for the radix-4 butterfly are
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)
+ * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)
+ * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)
+ * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)
+ *
+ */
+
+void arm_radix4_butterfly_inverse_q15(
+ q15_t * pSrc16,
+ uint32_t fftLen,
+ const q15_t * pCoef16,
+ uint32_t twidCoefModifier)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ q31_t R, S, T, U;
+ q31_t C1, C2, C3, out1, out2;
+ uint32_t n1, n2, ic, i0, j, k;
+
+ q15_t *ptr1;
+ q15_t *pSi0;
+ q15_t *pSi1;
+ q15_t *pSi2;
+ q15_t *pSi3;
+
+ q31_t xaya, xbyb, xcyc, xdyd;
+
+ /* Total process is divided into three stages */
+
+ /* process first stage, middle stages, & last stage */
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+
+ /* Index for twiddle coefficient */
+ ic = 0U;
+
+ /* Index for input read and output write */
+ j = n2;
+
+ pSi0 = pSrc16;
+ pSi1 = pSi0 + 2 * n2;
+ pSi2 = pSi1 + 2 * n2;
+ pSi3 = pSi2 + 2 * n2;
+
+ /* Input is in 1.15(q15) format */
+
+ /* start of first stage process */
+ do
+ {
+ /* Butterfly implementation */
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T = read_q15x2 (pSi0);
+ T = __SHADD16(T, 0);
+ T = __SHADD16(T, 0);
+
+ /* Read yc (real), xc(imag) input */
+ S = read_q15x2 (pSi2);
+ S = __SHADD16(S, 0);
+ S = __SHADD16(S, 0);
+
+ /* R = packed((ya + yc), (xa + xc) ) */
+ R = __QADD16(T, S);
+
+ /* S = packed((ya - yc), (xa - xc) ) */
+ S = __QSUB16(T, S);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T = read_q15x2 (pSi1);
+ T = __SHADD16(T, 0);
+ T = __SHADD16(T, 0);
+
+ /* Read yd (real), xd(imag) input */
+ U = read_q15x2 (pSi3);
+ U = __SHADD16(U, 0);
+ U = __SHADD16(U, 0);
+
+ /* T = packed((yb + yd), (xb + xd) ) */
+ T = __QADD16(T, U);
+
+ /* writing the butterfly processed i0 sample */
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ write_q15x2_ia (&pSi0, __SHADD16(R, T));
+
+ /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
+ R = __QSUB16(R, T);
+
+ /* co2 & si2 are read from SIMD Coefficient pointer */
+ C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ out1 = __SMUSD(C2, R) >> 16U;
+ /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out2 = __SMUADX(C2, R);
+#else
+ /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out1 = __SMUADX(C2, R) >> 16U;
+ /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ out2 = __SMUSD(__QSUB16(0, C2), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Reading i0+fftLen/4 */
+ /* T = packed(yb, xb) */
+ T = read_q15x2 (pSi1);
+ T = __SHADD16(T, 0);
+ T = __SHADD16(T, 0);
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* writing output(xc', yc') in little endian format */
+ write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ /* Butterfly calculations */
+ /* U = packed(yd, xd) */
+ U = read_q15x2 (pSi3);
+ U = __SHADD16(U, 0);
+ U = __SHADD16(U, 0);
+
+ /* T = packed(yb-yd, xb-xd) */
+ T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __QSAX(S, T);
+ /* S = packed((ya-yc) + (xb- xd), (xa-xc) - (yb-yd)) */
+ S = __QASX(S, T);
+#else
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __QASX(S, T);
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __QSAX(S, T);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* co1 & si1 are read from SIMD Coefficient pointer */
+ C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+ /* Butterfly process for the i0+fftLen/2 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ out1 = __SMUSD(C1, S) >> 16U;
+ /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ out2 = __SMUADX(C1, S);
+#else
+ /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ out1 = __SMUADX(C1, S) >> 16U;
+ /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ out2 = __SMUSD(__QSUB16(0, C1), S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* writing output(xb', yb') in little endian format */
+ write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF));
+
+ /* co3 & si3 are read from SIMD Coefficient pointer */
+ C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+ /* Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+ out1 = __SMUSD(C3, R) >> 16U;
+ /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+ out2 = __SMUADX(C3, R);
+#else
+ /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+ out1 = __SMUADX(C3, R) >> 16U;
+ /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+ out2 = __SMUSD(__QSUB16(0, C3), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* writing output(xd', yd') in little endian format */
+ write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ } while (--j);
+ /* data is in 4.11(q11) format */
+
+ /* end of first stage process */
+
+
+ /* start of middle stage process */
+
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of Middle stage */
+ for (k = fftLen / 4U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the middle stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ic = 0U;
+
+ for (j = 0U; j <= (n2 - 1U); j++)
+ {
+ /* index calculation for the coefficients */
+ C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+ C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+ C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ pSi0 = pSrc16 + 2 * j;
+ pSi1 = pSi0 + 2 * n2;
+ pSi2 = pSi1 + 2 * n2;
+ pSi3 = pSi2 + 2 * n2;
+
+ /* Butterfly implementation */
+ for (i0 = j; i0 < fftLen; i0 += n1)
+ {
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T = read_q15x2 (pSi0);
+
+ /* Read yc (real), xc(imag) input */
+ S = read_q15x2 (pSi2);
+
+ /* R = packed( (ya + yc), (xa + xc)) */
+ R = __QADD16(T, S);
+
+ /* S = packed((ya - yc), (xa - xc)) */
+ S = __QSUB16(T, S);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T = read_q15x2 (pSi1);
+
+ /* Read yd (real), xd(imag) input */
+ U = read_q15x2 (pSi3);
+
+ /* T = packed( (yb + yd), (xb + xd)) */
+ T = __QADD16(T, U);
+
+ /* writing the butterfly processed i0 sample */
+
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ out1 = __SHADD16(R, T);
+ out1 = __SHADD16(out1, 0);
+ write_q15x2 (pSi0, out1);
+ pSi0 += 2 * n1;
+
+ /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
+ R = __SHSUB16(R, T);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+ out1 = __SMUSD(C2, R) >> 16U;
+
+ /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out2 = __SMUADX(C2, R);
+#else
+ /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ out1 = __SMUADX(R, C2) >> 16U;
+
+ /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+ out2 = __SMUSD(__QSUB16(0, C2), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Reading i0+3fftLen/4 */
+ /* Read yb (real), xb(imag) input */
+ T = read_q15x2 (pSi1);
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+ /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+ write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ pSi1 += 2 * n1;
+
+ /* Butterfly calculations */
+
+ /* Read yd (real), xd(imag) input */
+ U = read_q15x2 (pSi3);
+
+ /* T = packed(yb-yd, xb-xd) */
+ T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __SHSAX(S, T);
+
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __SHASX(S, T);
+
+ /* Butterfly process for the i0+fftLen/2 sample */
+ out1 = __SMUSD(C1, S) >> 16U;
+ out2 = __SMUADX(C1, S);
+#else
+ /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+ R = __SHASX(S, T);
+
+ /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
+ S = __SHSAX(S, T);
+
+ /* Butterfly process for the i0+fftLen/2 sample */
+ out1 = __SMUADX(S, C1) >> 16U;
+ out2 = __SMUSD(__QSUB16(0, C1), S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+ /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+ write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ pSi2 += 2 * n1;
+
+ /* Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ out1 = __SMUSD(C3, R) >> 16U;
+ out2 = __SMUADX(C3, R);
+#else
+ out1 = __SMUADX(C3, R) >> 16U;
+ out2 = __SMUSD(__QSUB16(0, C3), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+ /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+ write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+ pSi3 += 2 * n1;
+ }
+ }
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+ }
+ /* end of middle stage process */
+
+ /* data is in 10.6(q6) format for the 1024 point */
+ /* data is in 8.8(q8) format for the 256 point */
+ /* data is in 6.10(q10) format for the 64 point */
+ /* data is in 4.12(q12) format for the 16 point */
+
+ /* Initializations for the last stage */
+ j = fftLen >> 2;
+
+ ptr1 = &pSrc16[0];
+
+ /* start of last stage process */
+
+ /* Butterfly implementation */
+ do
+ {
+ /* Read xa (real), ya(imag) input */
+ xaya = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* Read xb (real), yb(imag) input */
+ xbyb = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* Read xc (real), yc(imag) input */
+ xcyc = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* Read xd (real), yd(imag) input */
+ xdyd = read_q15x2_ia ((q15_t **) &ptr1);
+
+ /* R = packed((ya + yc), (xa + xc)) */
+ R = __QADD16(xaya, xcyc);
+
+ /* T = packed((yb + yd), (xb + xd)) */
+ T = __QADD16(xbyb, xdyd);
+
+ /* pointer updation for writing */
+ ptr1 = ptr1 - 8U;
+
+
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ write_q15x2_ia (&ptr1, __SHADD16(R, T));
+
+ /* T = packed((yb + yd), (xb + xd)) */
+ T = __QADD16(xbyb, xdyd);
+
+ /* xc' = (xa-xb+xc-xd) */
+ /* yc' = (ya-yb+yc-yd) */
+ write_q15x2_ia (&ptr1, __SHSUB16(R, T));
+
+ /* S = packed((ya - yc), (xa - xc)) */
+ S = __QSUB16(xaya, xcyc);
+
+ /* Read yd (real), xd(imag) input */
+ /* T = packed( (yb - yd), (xb - xd)) */
+ U = __QSUB16(xbyb, xdyd);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* xb' = (xa+yb-xc-yd) */
+ /* yb' = (ya-xb-yc+xd) */
+ write_q15x2_ia (&ptr1, __SHASX(S, U));
+
+ /* xd' = (xa-yb-xc+yd) */
+ /* yd' = (ya+xb-yc-xd) */
+ write_q15x2_ia (&ptr1, __SHSAX(S, U));
+#else
+ /* xb' = (xa+yb-xc-yd) */
+ /* yb' = (ya-xb-yc+xd) */
+ write_q15x2_ia (&ptr1, __SHSAX(S, U));
+
+ /* xd' = (xa-yb-xc+yd) */
+ /* yd' = (ya+xb-yc-xd) */
+ write_q15x2_ia (&ptr1, __SHASX(S, U));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ } while (--j);
+
+ /* end of last stage process */
+
+ /* output is in 11.5(q5) format for the 1024 point */
+ /* output is in 9.7(q7) format for the 256 point */
+ /* output is in 7.9(q9) format for the 64 point */
+ /* output is in 5.11(q11) format for the 16 point */
+
+
+#else /* arm_radix4_butterfly_inverse_q15 */
+
+ q15_t R0, R1, S0, S1, T0, T1, U0, U1;
+ q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
+ uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
+
+ /* Total process is divided into three stages */
+
+ /* process first stage, middle stages, & last stage */
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+
+ /* Index for twiddle coefficient */
+ ic = 0U;
+
+ /* Index for input read and output write */
+ i0 = 0U;
+
+ j = n2;
+
+ /* Input is in 1.15(q15) format */
+
+ /* Start of first stage process */
+ do
+ {
+ /* Butterfly implementation */
+
+ /* index calculation for the input as, */
+ /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* input is down scale by 4 to avoid overflow */
+ /* Read ya (real), xa(imag) input */
+ T0 = pSrc16[i0 * 2U] >> 2U;
+ T1 = pSrc16[(i0 * 2U) + 1U] >> 2U;
+ /* input is down scale by 4 to avoid overflow */
+ /* Read yc (real), xc(imag) input */
+ S0 = pSrc16[i2 * 2U] >> 2U;
+ S1 = pSrc16[(i2 * 2U) + 1U] >> 2U;
+
+ /* R0 = (ya + yc), R1 = (xa + xc) */
+ R0 = __SSAT(T0 + S0, 16U);
+ R1 = __SSAT(T1 + S1, 16U);
+ /* S0 = (ya - yc), S1 = (xa - xc) */
+ S0 = __SSAT(T0 - S0, 16U);
+ S1 = __SSAT(T1 - S1, 16U);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* input is down scale by 4 to avoid overflow */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U] >> 2U;
+ T1 = pSrc16[(i1 * 2U) + 1U] >> 2U;
+ /* Read yd (real), xd(imag) input */
+ /* input is down scale by 4 to avoid overflow */
+ U0 = pSrc16[i3 * 2U] >> 2U;
+ U1 = pSrc16[(i3 * 2U) + 1U] >> 2U;
+
+ /* T0 = (yb + yd), T1 = (xb + xd) */
+ T0 = __SSAT(T0 + U0, 16U);
+ T1 = __SSAT(T1 + U1, 16U);
+
+ /* writing the butterfly processed i0 sample */
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+ pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+ /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */
+ R0 = __SSAT(R0 - T0, 16U);
+ R1 = __SSAT(R1 - T1, 16U);
+ /* co2 & si2 are read from Coefficient pointer */
+ Co2 = pCoef16[2U * ic * 2U];
+ Si2 = pCoef16[(2U * ic * 2U) + 1U];
+ /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
+ out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16U);
+ /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+ out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16U);
+
+ /* Reading i0+fftLen/4 */
+ /* input is down scale by 4 to avoid overflow */
+ /* T0 = yb, T1 = xb */
+ T0 = pSrc16[i1 * 2U] >> 2U;
+ T1 = pSrc16[(i1 * 2U) + 1U] >> 2U;
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* writing output(xc', yc') in little endian format */
+ pSrc16[i1 * 2U] = out1;
+ pSrc16[(i1 * 2U) + 1U] = out2;
+
+ /* Butterfly calculations */
+ /* input is down scale by 4 to avoid overflow */
+ /* U0 = yd, U1 = xd) */
+ U0 = pSrc16[i3 * 2U] >> 2U;
+ U1 = pSrc16[(i3 * 2U) + 1U] >> 2U;
+
+ /* T0 = yb-yd, T1 = xb-xd) */
+ T0 = __SSAT(T0 - U0, 16U);
+ T1 = __SSAT(T1 - U1, 16U);
+ /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
+ R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16);
+ R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16);
+ /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
+ S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+ S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
+
+ /* co1 & si1 are read from Coefficient pointer */
+ Co1 = pCoef16[ic * 2U];
+ Si1 = pCoef16[(ic * 2U) + 1U];
+ /* Butterfly process for the i0+fftLen/2 sample */
+ /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
+ out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U);
+ /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
+ out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U);
+ /* writing output(xb', yb') in little endian format */
+ pSrc16[i2 * 2U] = out1;
+ pSrc16[(i2 * 2U) + 1U] = out2;
+
+ /* Co3 & si3 are read from Coefficient pointer */
+ Co3 = pCoef16[3U * ic * 2U];
+ Si3 = pCoef16[(3U * ic * 2U) + 1U];
+ /* Butterfly process for the i0+3fftLen/4 sample */
+ /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
+ out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U);
+ /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
+ out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U);
+ /* writing output(xd', yd') in little endian format */
+ pSrc16[i3 * 2U] = out1;
+ pSrc16[(i3 * 2U) + 1U] = out2;
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ /* Updating input index */
+ i0 = i0 + 1U;
+
+ } while (--j);
+
+ /* End of first stage process */
+
+ /* data is in 4.11(q11) format */
+
+
+ /* Start of Middle stage process */
+
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of Middle stage */
+ for (k = fftLen / 4U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the middle stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ic = 0U;
+
+ for (j = 0U; j <= (n2 - 1U); j++)
+ {
+ /* index calculation for the coefficients */
+ Co1 = pCoef16[ic * 2U];
+ Si1 = pCoef16[(ic * 2U) + 1U];
+ Co2 = pCoef16[2U * ic * 2U];
+ Si2 = pCoef16[2U * ic * 2U + 1U];
+ Co3 = pCoef16[3U * ic * 2U];
+ Si3 = pCoef16[(3U * ic * 2U) + 1U];
+
+ /* Twiddle coefficients index modifier */
+ ic = ic + twidCoefModifier;
+
+ /* Butterfly implementation */
+ for (i0 = j; i0 < fftLen; i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T0 = pSrc16[i0 * 2U];
+ T1 = pSrc16[(i0 * 2U) + 1U];
+
+ /* Read yc (real), xc(imag) input */
+ S0 = pSrc16[i2 * 2U];
+ S1 = pSrc16[(i2 * 2U) + 1U];
+
+
+ /* R0 = (ya + yc), R1 = (xa + xc) */
+ R0 = __SSAT(T0 + S0, 16U);
+ R1 = __SSAT(T1 + S1, 16U);
+ /* S0 = (ya - yc), S1 = (xa - xc) */
+ S0 = __SSAT(T0 - S0, 16U);
+ S1 = __SSAT(T1 - S1, 16U);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+
+ /* T0 = (yb + yd), T1 = (xb + xd) */
+ T0 = __SSAT(T0 + U0, 16U);
+ T1 = __SSAT(T1 + U1, 16U);
+
+ /* writing the butterfly processed i0 sample */
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ pSrc16[i0 * 2U] = ((R0 >> 1U) + (T0 >> 1U)) >> 1U;
+ pSrc16[(i0 * 2U) + 1U] = ((R1 >> 1U) + (T1 >> 1U)) >> 1U;
+
+ /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+ R0 = (R0 >> 1U) - (T0 >> 1U);
+ R1 = (R1 >> 1U) - (T1 >> 1U);
+
+ /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
+ out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16);
+ /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+ out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16);
+
+ /* Reading i0+3fftLen/4 */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
+ /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+ pSrc16[i1 * 2U] = out1;
+ pSrc16[(i1 * 2U) + 1U] = out2;
+
+ /* Butterfly calculations */
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+
+ /* T0 = yb-yd, T1 = xb-xd) */
+ T0 = __SSAT(T0 - U0, 16U);
+ T1 = __SSAT(T1 - U1, 16U);
+
+ /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
+ R0 = (S0 >> 1U) + (T1 >> 1U);
+ R1 = (S1 >> 1U) - (T0 >> 1U);
+
+ /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
+ S0 = (S0 >> 1U) - (T1 >> 1U);
+ S1 = (S1 >> 1U) + (T0 >> 1U);
+
+ /* Butterfly process for the i0+fftLen/2 sample */
+ out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U);
+ out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U);
+ /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
+ /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
+ pSrc16[i2 * 2U] = out1;
+ pSrc16[(i2 * 2U) + 1U] = out2;
+
+ /* Butterfly process for the i0+3fftLen/4 sample */
+ out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U);
+
+ out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U);
+ /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
+ /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
+ pSrc16[i3 * 2U] = out1;
+ pSrc16[(i3 * 2U) + 1U] = out2;
+
+
+ }
+ }
+ /* Twiddle coefficients index modifier */
+ twidCoefModifier <<= 2U;
+ }
+ /* End of Middle stages process */
+
+
+ /* data is in 10.6(q6) format for the 1024 point */
+ /* data is in 8.8(q8) format for the 256 point */
+ /* data is in 6.10(q10) format for the 64 point */
+ /* data is in 4.12(q12) format for the 16 point */
+
+ /* start of last stage process */
+
+
+ /* Initializations for the last stage */
+ n1 = n2;
+ n2 >>= 2U;
+
+ /* Butterfly implementation */
+ for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Reading i0, i0+fftLen/2 inputs */
+ /* Read ya (real), xa(imag) input */
+ T0 = pSrc16[i0 * 2U];
+ T1 = pSrc16[(i0 * 2U) + 1U];
+ /* Read yc (real), xc(imag) input */
+ S0 = pSrc16[i2 * 2U];
+ S1 = pSrc16[(i2 * 2U) + 1U];
+
+ /* R0 = (ya + yc), R1 = (xa + xc) */
+ R0 = __SSAT(T0 + S0, 16U);
+ R1 = __SSAT(T1 + S1, 16U);
+ /* S0 = (ya - yc), S1 = (xa - xc) */
+ S0 = __SSAT(T0 - S0, 16U);
+ S1 = __SSAT(T1 - S1, 16U);
+
+ /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+
+ /* T0 = (yb + yd), T1 = (xb + xd) */
+ T0 = __SSAT(T0 + U0, 16U);
+ T1 = __SSAT(T1 + U1, 16U);
+
+ /* writing the butterfly processed i0 sample */
+ /* xa' = xa + xb + xc + xd */
+ /* ya' = ya + yb + yc + yd */
+ pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+ pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+ /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+ R0 = (R0 >> 1U) - (T0 >> 1U);
+ R1 = (R1 >> 1U) - (T1 >> 1U);
+
+ /* Read yb (real), xb(imag) input */
+ T0 = pSrc16[i1 * 2U];
+ T1 = pSrc16[(i1 * 2U) + 1U];
+
+ /* writing the butterfly processed i0 + fftLen/4 sample */
+ /* xc' = (xa-xb+xc-xd) */
+ /* yc' = (ya-yb+yc-yd) */
+ pSrc16[i1 * 2U] = R0;
+ pSrc16[(i1 * 2U) + 1U] = R1;
+
+ /* Read yd (real), xd(imag) input */
+ U0 = pSrc16[i3 * 2U];
+ U1 = pSrc16[(i3 * 2U) + 1U];
+ /* T0 = (yb - yd), T1 = (xb - xd) */
+ T0 = __SSAT(T0 - U0, 16U);
+ T1 = __SSAT(T1 - U1, 16U);
+
+ /* writing the butterfly processed i0 + fftLen/2 sample */
+ /* xb' = (xa-yb-xc+yd) */
+ /* yb' = (ya+xb-yc-xd) */
+ pSrc16[i2 * 2U] = (S0 >> 1U) - (T1 >> 1U);
+ pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U);
+
+
+ /* writing the butterfly processed i0 + 3fftLen/4 sample */
+ /* xd' = (xa+yb-xc-yd) */
+ /* yd' = (ya-xb-yc+xd) */
+ pSrc16[i3 * 2U] = (S0 >> 1U) + (T1 >> 1U);
+ pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U);
+ }
+ /* end of last stage process */
+
+ /* output is in 11.5(q5) format for the 1024 point */
+ /* output is in 9.7(q7) format for the 256 point */
+ /* output is in 7.9(q9) format for the 64 point */
+ /* output is in 5.11(q11) format for the 16 point */
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c
new file mode 100644
index 0000000..a9a59dd
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c
@@ -0,0 +1,827 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix4_q31.c
+ * Description: This file has function definition of Radix-4 FFT & IFFT function and
+ * In-place bit reversal using bit reversal table
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix4_butterfly_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint32_t twidCoefModifier);
+
+void arm_radix4_butterfly_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint32_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup ComplexFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 CFFT/CIFFT.
+ @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+ @param[in] S points to an instance of the Q31 CFFT/CIFFT structure
+ @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place
+ @return none
+
+ @par Input and output formats:
+ Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+ Hence the output format is different for different FFT sizes.
+ The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:
+ @par
+ \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT"
+ \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT"
+ */
+
+void arm_cfft_radix4_q31(
+ const arm_cfft_radix4_instance_q31 * S,
+ q31_t * pSrc)
+{
+ if (S->ifftFlag == 1U)
+ {
+ /* Complex IFFT radix-4 */
+ arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+ else
+ {
+ /* Complex FFT radix-4 */
+ arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+ }
+
+ if (S->bitReverseFlag == 1U)
+ {
+ /* Bit Reversal */
+ arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+ }
+
+}
+
+/**
+ @} end of ComplexFFT group
+ */
+
+/*
+ * Radix-4 FFT algorithm used is :
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 FFT:
+ * Wn = co1 + j * (- si1)
+ * W2n = co2 + j * (- si2)
+ * W3n = co3 + j * (- si3)
+ *
+ * Butterfly implementation:
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
+ * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
+ * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
+ * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
+ *
+ */
+
+/**
+ @brief Core function for the Q31 CFFT butterfly process.
+ @param[in,out] pSrc points to the in-place buffer of Q31 data type.
+ @param[in] fftLen length of the FFT.
+ @param[in] pCoef points to twiddle coefficient buffer.
+ @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+ @return none
+ */
+
+void arm_radix4_butterfly_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint32_t twidCoefModifier)
+{
+ uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
+ q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+
+ q31_t xa, xb, xc, xd;
+ q31_t ya, yb, yc, yd;
+ q31_t xa_out, xb_out, xc_out, xd_out;
+ q31_t ya_out, yb_out, yc_out, yd_out;
+
+ q31_t *ptr1;
+
+ /* Total process is divided into three stages */
+
+ /* process first stage, middle stages, & last stage */
+
+
+ /* start of first stage process */
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+ i0 = 0U;
+ ia1 = 0U;
+
+ j = n2;
+
+ /* Calculation of first stage */
+ do
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+ /* Butterfly implementation */
+ /* xa + xc */
+ r1 = (pSrc[(2U * i0)] >> 4U) + (pSrc[(2U * i2)] >> 4U);
+ /* xa - xc */
+ r2 = (pSrc[(2U * i0)] >> 4U) - (pSrc[(2U * i2)] >> 4U);
+
+ /* xb + xd */
+ t1 = (pSrc[(2U * i1)] >> 4U) + (pSrc[(2U * i3)] >> 4U);
+
+ /* ya + yc */
+ s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U);
+ /* ya - yc */
+ s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U);
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = (r1 + t1);
+ /* (xa + xc) - (xb + xd) */
+ r1 = r1 - t1;
+ /* yb + yd */
+ t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U);
+
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = (s1 + t2);
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* yb - yd */
+ t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U);
+ /* xb - xd */
+ t2 = (pSrc[(2U * i1)] >> 4U) - (pSrc[(2U * i3)] >> 4U);
+
+ /* index calculation for the coefficients */
+ ia2 = 2U * ia1;
+ co2 = pCoef[(ia2 * 2U)];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+
+ /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+ ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U;
+
+ /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+ ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U;
+
+ /* (xa - xc) + (yb - yd) */
+ r1 = r2 + t1;
+ /* (xa - xc) - (yb - yd) */
+ r2 = r2 - t1;
+
+ /* (ya - yc) - (xb - xd) */
+ s1 = s2 - t2;
+ /* (ya - yc) + (xb - xd) */
+ s2 = s2 + t2;
+
+ co1 = pCoef[(ia1 * 2U)];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+
+ /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+ ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U;
+
+ /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+ ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U;
+
+ /* index calculation for the coefficients */
+ ia3 = 3U * ia1;
+ co3 = pCoef[(ia3 * 2U)];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+ ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U;
+
+ /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+ ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U;
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ /* Updating input index */
+ i0 = i0 + 1U;
+
+ } while (--j);
+
+ /* end of first stage process */
+
+ /* data is in 5.27(q27) format */
+
+
+ /* start of Middle stages process */
+
+
+ /* each stage in middle stages provides two down scaling of the input */
+
+ twidCoefModifier <<= 2U;
+
+
+ for (k = fftLen / 4U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the first stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ /* Calculation of first stage */
+ for (j = 0U; j <= (n2 - 1U); j++)
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[(ia1 * 2U)];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[(ia2 * 2U)];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[(ia3 * 2U)];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ for (i0 = j; i0 < fftLen; i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Butterfly implementation */
+ /* xa + xc */
+ r1 = pSrc[2U * i0] + pSrc[2U * i2];
+ /* xa - xc */
+ r2 = pSrc[2U * i0] - pSrc[2U * i2];
+
+ /* ya + yc */
+ s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+ /* ya - yc */
+ s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+ /* xb + xd */
+ t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = (r1 + t1) >> 2U;
+ /* xa + xc -(xb + xd) */
+ r1 = r1 - t1;
+
+ /* yb + yd */
+ t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U;
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* (yb - yd) */
+ t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+ /* (xb - xd) */
+ t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+ /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+ ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1U;
+
+ /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+ ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1U;
+
+ /* (xa - xc) + (yb - yd) */
+ r1 = r2 + t1;
+ /* (xa - xc) - (yb - yd) */
+ r2 = r2 - t1;
+
+ /* (ya - yc) - (xb - xd) */
+ s1 = s2 - t2;
+ /* (ya - yc) + (xb - xd) */
+ s2 = s2 + t2;
+
+ /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+ ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U;
+
+ /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+ ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U;
+
+ /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+ ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U;
+
+ /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+ ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U;
+ }
+ }
+ twidCoefModifier <<= 2U;
+ }
+
+ /* End of Middle stages process */
+
+ /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
+ /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
+ /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
+ /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
+
+
+ /* start of Last stage process */
+ /* Initializations for the last stage */
+ j = fftLen >> 2;
+ ptr1 = &pSrc[0];
+
+ /* Calculations of last stage */
+ do
+ {
+ /* Read xa (real), ya(imag) input */
+ xa = *ptr1++;
+ ya = *ptr1++;
+
+ /* Read xb (real), yb(imag) input */
+ xb = *ptr1++;
+ yb = *ptr1++;
+
+ /* Read xc (real), yc(imag) input */
+ xc = *ptr1++;
+ yc = *ptr1++;
+
+ /* Read xc (real), yc(imag) input */
+ xd = *ptr1++;
+ yd = *ptr1++;
+
+ /* xa' = xa + xb + xc + xd */
+ xa_out = xa + xb + xc + xd;
+
+ /* ya' = ya + yb + yc + yd */
+ ya_out = ya + yb + yc + yd;
+
+ /* pointer updation for writing */
+ ptr1 = ptr1 - 8U;
+
+ /* writing xa' and ya' */
+ *ptr1++ = xa_out;
+ *ptr1++ = ya_out;
+
+ xc_out = (xa - xb + xc - xd);
+ yc_out = (ya - yb + yc - yd);
+
+ /* writing xc' and yc' */
+ *ptr1++ = xc_out;
+ *ptr1++ = yc_out;
+
+ xb_out = (xa + yb - xc - yd);
+ yb_out = (ya - xb - yc + xd);
+
+ /* writing xb' and yb' */
+ *ptr1++ = xb_out;
+ *ptr1++ = yb_out;
+
+ xd_out = (xa - yb - xc + yd);
+ yd_out = (ya + xb - yc - xd);
+
+ /* writing xd' and yd' */
+ *ptr1++ = xd_out;
+ *ptr1++ = yd_out;
+
+
+ } while (--j);
+
+ /* output is in 11.21(q21) format for the 1024 point */
+ /* output is in 9.23(q23) format for the 256 point */
+ /* output is in 7.25(q25) format for the 64 point */
+ /* output is in 5.27(q27) format for the 16 point */
+
+ /* End of last stage process */
+
+}
+
+
+/**
+ @brief Core function for the Q31 CIFFT butterfly process.
+ @param[in,out] pSrc points to the in-place buffer of Q31 data type.
+ @param[in] fftLen length of the FFT.
+ @param[in] pCoef points to twiddle coefficient buffer.
+ @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+ @return none
+ */
+
+/*
+ * Radix-4 IFFT algorithm used is :
+ *
+ * CIFFT uses same twiddle coefficients as CFFT Function
+ * x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]
+ *
+ *
+ * IFFT is implemented with following changes in equations from FFT
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 IFFT:
+ * Wn = co1 + j * (si1)
+ * W2n = co2 + j * (si2)
+ * W3n = co3 + j * (si3)
+
+ * The real and imaginary output values for the radix-4 butterfly are
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)
+ * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)
+ * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)
+ * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)
+ *
+ */
+
+void arm_radix4_butterfly_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pCoef,
+ uint32_t twidCoefModifier)
+{
+ uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
+ q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+ q31_t xa, xb, xc, xd;
+ q31_t ya, yb, yc, yd;
+ q31_t xa_out, xb_out, xc_out, xd_out;
+ q31_t ya_out, yb_out, yc_out, yd_out;
+
+ q31_t *ptr1;
+
+ /* input is be 1.31(q31) format for all FFT sizes */
+ /* Total process is divided into three stages */
+ /* process first stage, middle stages, & last stage */
+
+ /* Start of first stage process */
+
+ /* Initializations for the first stage */
+ n2 = fftLen;
+ n1 = n2;
+ /* n2 = fftLen/4 */
+ n2 >>= 2U;
+ i0 = 0U;
+ ia1 = 0U;
+
+ j = n2;
+
+ do
+ {
+ /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Butterfly implementation */
+ /* xa + xc */
+ r1 = (pSrc[2U * i0] >> 4U) + (pSrc[2U * i2] >> 4U);
+ /* xa - xc */
+ r2 = (pSrc[2U * i0] >> 4U) - (pSrc[2U * i2] >> 4U);
+
+ /* xb + xd */
+ t1 = (pSrc[2U * i1] >> 4U) + (pSrc[2U * i3] >> 4U);
+
+ /* ya + yc */
+ s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U);
+ /* ya - yc */
+ s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U);
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = (r1 + t1);
+ /* (xa + xc) - (xb + xd) */
+ r1 = r1 - t1;
+ /* yb + yd */
+ t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U);
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = (s1 + t2);
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* yb - yd */
+ t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U);
+ /* xb - xd */
+ t2 = (pSrc[2U * i1] >> 4U) - (pSrc[2U * i3] >> 4U);
+
+ /* index calculation for the coefficients */
+ ia2 = 2U * ia1;
+ co2 = pCoef[ia2 * 2U];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
+ ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U;
+
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ pSrc[2U * i1 + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
+ ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U;
+
+ /* (xa - xc) - (yb - yd) */
+ r1 = r2 - t1;
+ /* (xa - xc) + (yb - yd) */
+ r2 = r2 + t1;
+
+ /* (ya - yc) + (xb - xd) */
+ s1 = s2 + t2;
+ /* (ya - yc) - (xb - xd) */
+ s2 = s2 - t2;
+
+ co1 = pCoef[ia1 * 2U];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+ ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U;
+
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+ ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U;
+
+ /* index calculation for the coefficients */
+ ia3 = 3U * ia1;
+ co3 = pCoef[ia3 * 2U];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+ ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U;
+
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+ ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U;
+
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ /* Updating input index */
+ i0 = i0 + 1U;
+
+ } while (--j);
+
+ /* data is in 5.27(q27) format */
+ /* each stage provides two down scaling of the input */
+
+
+ /* Start of Middle stages process */
+
+ twidCoefModifier <<= 2U;
+
+ /* Calculation of second stage to excluding last stage */
+ for (k = fftLen / 4U; k > 4U; k >>= 2U)
+ {
+ /* Initializations for the first stage */
+ n1 = n2;
+ n2 >>= 2U;
+ ia1 = 0U;
+
+ for (j = 0; j <= (n2 - 1U); j++)
+ {
+ /* index calculation for the coefficients */
+ ia2 = ia1 + ia1;
+ ia3 = ia2 + ia1;
+ co1 = pCoef[(ia1 * 2U)];
+ si1 = pCoef[(ia1 * 2U) + 1U];
+ co2 = pCoef[(ia2 * 2U)];
+ si2 = pCoef[(ia2 * 2U) + 1U];
+ co3 = pCoef[(ia3 * 2U)];
+ si3 = pCoef[(ia3 * 2U) + 1U];
+ /* Twiddle coefficients index modifier */
+ ia1 = ia1 + twidCoefModifier;
+
+ for (i0 = j; i0 < fftLen; i0 += n1)
+ {
+ /* index calculation for the input as, */
+ /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+ i1 = i0 + n2;
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+
+ /* Butterfly implementation */
+ /* xa + xc */
+ r1 = pSrc[2U * i0] + pSrc[2U * i2];
+ /* xa - xc */
+ r2 = pSrc[2U * i0] - pSrc[2U * i2];
+
+ /* ya + yc */
+ s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+ /* ya - yc */
+ s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+ /* xb + xd */
+ t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+ /* xa' = xa + xb + xc + xd */
+ pSrc[2U * i0] = (r1 + t1) >> 2U;
+ /* xa + xc -(xb + xd) */
+ r1 = r1 - t1;
+ /* yb + yd */
+ t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+ /* ya' = ya + yb + yc + yd */
+ pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U;
+
+ /* (ya + yc) - (yb + yd) */
+ s1 = s1 - t2;
+
+ /* (yb - yd) */
+ t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+ /* (xb - xd) */
+ t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+ /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+ pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32U)) -
+ ((int32_t) (((q63_t) s1 * si2) >> 32U))) >> 1U;
+
+ /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+ pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32U)) +
+ ((int32_t) (((q63_t) r1 * si2) >> 32U))) >> 1U;
+
+ /* (xa - xc) - (yb - yd) */
+ r1 = r2 - t1;
+ /* (xa - xc) + (yb - yd) */
+ r2 = r2 + t1;
+
+ /* (ya - yc) + (xb - xd) */
+ s1 = s2 + t2;
+ /* (ya - yc) - (xb - xd) */
+ s2 = s2 - t2;
+
+ /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+ pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+ ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U;
+
+ /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+ pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+ ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U;
+
+ /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+ pSrc[(2U * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+ ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U;
+
+ /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+ pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+ ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U;
+ }
+ }
+ twidCoefModifier <<= 2U;
+ }
+
+ /* End of Middle stages process */
+
+ /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
+ /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
+ /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
+ /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
+
+
+ /* Start of last stage process */
+
+
+ /* Initializations for the last stage */
+ j = fftLen >> 2;
+ ptr1 = &pSrc[0];
+
+ /* Calculations of last stage */
+ do
+ {
+ /* Read xa (real), ya(imag) input */
+ xa = *ptr1++;
+ ya = *ptr1++;
+
+ /* Read xb (real), yb(imag) input */
+ xb = *ptr1++;
+ yb = *ptr1++;
+
+ /* Read xc (real), yc(imag) input */
+ xc = *ptr1++;
+ yc = *ptr1++;
+
+ /* Read xc (real), yc(imag) input */
+ xd = *ptr1++;
+ yd = *ptr1++;
+
+ /* xa' = xa + xb + xc + xd */
+ xa_out = xa + xb + xc + xd;
+
+ /* ya' = ya + yb + yc + yd */
+ ya_out = ya + yb + yc + yd;
+
+ /* pointer updation for writing */
+ ptr1 = ptr1 - 8U;
+
+ /* writing xa' and ya' */
+ *ptr1++ = xa_out;
+ *ptr1++ = ya_out;
+
+ xc_out = (xa - xb + xc - xd);
+ yc_out = (ya - yb + yc - yd);
+
+ /* writing xc' and yc' */
+ *ptr1++ = xc_out;
+ *ptr1++ = yc_out;
+
+ xb_out = (xa - yb - xc + yd);
+ yb_out = (ya + xb - yc - xd);
+
+ /* writing xb' and yb' */
+ *ptr1++ = xb_out;
+ *ptr1++ = yb_out;
+
+ xd_out = (xa + yb - xc - yd);
+ yd_out = (ya - xb - yc + xd);
+
+ /* writing xd' and yd' */
+ *ptr1++ = xd_out;
+ *ptr1++ = yd_out;
+
+ } while (--j);
+
+ /* output is in 11.21(q21) format for the 1024 point */
+ /* output is in 9.23(q23) format for the 256 point */
+ /* output is in 7.25(q25) format for the 64 point */
+ /* output is in 5.27(q27) format for the 16 point */
+
+ /* End of last stage process */
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c
new file mode 100644
index 0000000..50048f6
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c
@@ -0,0 +1,285 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_radix8_f32.c
+ * Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * -------------------------------------------------------------------- */
+
+/**
+ brief Core function for the floating-point CFFT butterfly process.
+ param[in,out] pSrc points to the in-place buffer of floating-point data type.
+ param[in] fftLen length of the FFT.
+ param[in] pCoef points to the twiddle coefficient buffer.
+ param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+ return none
+*/
+
+void arm_radix8_butterfly_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier)
+{
+ uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
+ uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
+ uint32_t id;
+ uint32_t n1, n2, j;
+
+ float32_t r1, r2, r3, r4, r5, r6, r7, r8;
+ float32_t t1, t2;
+ float32_t s1, s2, s3, s4, s5, s6, s7, s8;
+ float32_t p1, p2, p3, p4;
+ float32_t co2, co3, co4, co5, co6, co7, co8;
+ float32_t si2, si3, si4, si5, si6, si7, si8;
+ const float32_t C81 = 0.70710678118f;
+
+ n2 = fftLen;
+
+ do
+ {
+ n1 = n2;
+ n2 = n2 >> 3;
+ i1 = 0;
+
+ do
+ {
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+ i4 = i3 + n2;
+ i5 = i4 + n2;
+ i6 = i5 + n2;
+ i7 = i6 + n2;
+ i8 = i7 + n2;
+ r1 = pSrc[2 * i1] + pSrc[2 * i5];
+ r5 = pSrc[2 * i1] - pSrc[2 * i5];
+ r2 = pSrc[2 * i2] + pSrc[2 * i6];
+ r6 = pSrc[2 * i2] - pSrc[2 * i6];
+ r3 = pSrc[2 * i3] + pSrc[2 * i7];
+ r7 = pSrc[2 * i3] - pSrc[2 * i7];
+ r4 = pSrc[2 * i4] + pSrc[2 * i8];
+ r8 = pSrc[2 * i4] - pSrc[2 * i8];
+ t1 = r1 - r3;
+ r1 = r1 + r3;
+ r3 = r2 - r4;
+ r2 = r2 + r4;
+ pSrc[2 * i1] = r1 + r2;
+ pSrc[2 * i5] = r1 - r2;
+ r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+ s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+ r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+ s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+ s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+ s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+ r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+ s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+ t2 = r1 - s3;
+ r1 = r1 + s3;
+ s3 = r2 - r4;
+ r2 = r2 + r4;
+ pSrc[2 * i1 + 1] = r1 + r2;
+ pSrc[2 * i5 + 1] = r1 - r2;
+ pSrc[2 * i3] = t1 + s3;
+ pSrc[2 * i7] = t1 - s3;
+ pSrc[2 * i3 + 1] = t2 - r3;
+ pSrc[2 * i7 + 1] = t2 + r3;
+ r1 = (r6 - r8) * C81;
+ r6 = (r6 + r8) * C81;
+ r2 = (s6 - s8) * C81;
+ s6 = (s6 + s8) * C81;
+ t1 = r5 - r1;
+ r5 = r5 + r1;
+ r8 = r7 - r6;
+ r7 = r7 + r6;
+ t2 = s5 - r2;
+ s5 = s5 + r2;
+ s8 = s7 - s6;
+ s7 = s7 + s6;
+ pSrc[2 * i2] = r5 + s7;
+ pSrc[2 * i8] = r5 - s7;
+ pSrc[2 * i6] = t1 + s8;
+ pSrc[2 * i4] = t1 - s8;
+ pSrc[2 * i2 + 1] = s5 - r7;
+ pSrc[2 * i8 + 1] = s5 + r7;
+ pSrc[2 * i6 + 1] = t2 - r8;
+ pSrc[2 * i4 + 1] = t2 + r8;
+
+ i1 += n1;
+ } while (i1 < fftLen);
+
+ if (n2 < 8)
+ break;
+
+ ia1 = 0;
+ j = 1;
+
+ do
+ {
+ /* index calculation for the coefficients */
+ id = ia1 + twidCoefModifier;
+ ia1 = id;
+ ia2 = ia1 + id;
+ ia3 = ia2 + id;
+ ia4 = ia3 + id;
+ ia5 = ia4 + id;
+ ia6 = ia5 + id;
+ ia7 = ia6 + id;
+
+ co2 = pCoef[2 * ia1];
+ co3 = pCoef[2 * ia2];
+ co4 = pCoef[2 * ia3];
+ co5 = pCoef[2 * ia4];
+ co6 = pCoef[2 * ia5];
+ co7 = pCoef[2 * ia6];
+ co8 = pCoef[2 * ia7];
+ si2 = pCoef[2 * ia1 + 1];
+ si3 = pCoef[2 * ia2 + 1];
+ si4 = pCoef[2 * ia3 + 1];
+ si5 = pCoef[2 * ia4 + 1];
+ si6 = pCoef[2 * ia5 + 1];
+ si7 = pCoef[2 * ia6 + 1];
+ si8 = pCoef[2 * ia7 + 1];
+
+ i1 = j;
+
+ do
+ {
+ /* index calculation for the input */
+ i2 = i1 + n2;
+ i3 = i2 + n2;
+ i4 = i3 + n2;
+ i5 = i4 + n2;
+ i6 = i5 + n2;
+ i7 = i6 + n2;
+ i8 = i7 + n2;
+ r1 = pSrc[2 * i1] + pSrc[2 * i5];
+ r5 = pSrc[2 * i1] - pSrc[2 * i5];
+ r2 = pSrc[2 * i2] + pSrc[2 * i6];
+ r6 = pSrc[2 * i2] - pSrc[2 * i6];
+ r3 = pSrc[2 * i3] + pSrc[2 * i7];
+ r7 = pSrc[2 * i3] - pSrc[2 * i7];
+ r4 = pSrc[2 * i4] + pSrc[2 * i8];
+ r8 = pSrc[2 * i4] - pSrc[2 * i8];
+ t1 = r1 - r3;
+ r1 = r1 + r3;
+ r3 = r2 - r4;
+ r2 = r2 + r4;
+ pSrc[2 * i1] = r1 + r2;
+ r2 = r1 - r2;
+ s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+ s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+ s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+ s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+ s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+ s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+ s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+ s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+ t2 = s1 - s3;
+ s1 = s1 + s3;
+ s3 = s2 - s4;
+ s2 = s2 + s4;
+ r1 = t1 + s3;
+ t1 = t1 - s3;
+ pSrc[2 * i1 + 1] = s1 + s2;
+ s2 = s1 - s2;
+ s1 = t2 - r3;
+ t2 = t2 + r3;
+ p1 = co5 * r2;
+ p2 = si5 * s2;
+ p3 = co5 * s2;
+ p4 = si5 * r2;
+ pSrc[2 * i5] = p1 + p2;
+ pSrc[2 * i5 + 1] = p3 - p4;
+ p1 = co3 * r1;
+ p2 = si3 * s1;
+ p3 = co3 * s1;
+ p4 = si3 * r1;
+ pSrc[2 * i3] = p1 + p2;
+ pSrc[2 * i3 + 1] = p3 - p4;
+ p1 = co7 * t1;
+ p2 = si7 * t2;
+ p3 = co7 * t2;
+ p4 = si7 * t1;
+ pSrc[2 * i7] = p1 + p2;
+ pSrc[2 * i7 + 1] = p3 - p4;
+ r1 = (r6 - r8) * C81;
+ r6 = (r6 + r8) * C81;
+ s1 = (s6 - s8) * C81;
+ s6 = (s6 + s8) * C81;
+ t1 = r5 - r1;
+ r5 = r5 + r1;
+ r8 = r7 - r6;
+ r7 = r7 + r6;
+ t2 = s5 - s1;
+ s5 = s5 + s1;
+ s8 = s7 - s6;
+ s7 = s7 + s6;
+ r1 = r5 + s7;
+ r5 = r5 - s7;
+ r6 = t1 + s8;
+ t1 = t1 - s8;
+ s1 = s5 - r7;
+ s5 = s5 + r7;
+ s6 = t2 - r8;
+ t2 = t2 + r8;
+ p1 = co2 * r1;
+ p2 = si2 * s1;
+ p3 = co2 * s1;
+ p4 = si2 * r1;
+ pSrc[2 * i2] = p1 + p2;
+ pSrc[2 * i2 + 1] = p3 - p4;
+ p1 = co8 * r5;
+ p2 = si8 * s5;
+ p3 = co8 * s5;
+ p4 = si8 * r5;
+ pSrc[2 * i8] = p1 + p2;
+ pSrc[2 * i8 + 1] = p3 - p4;
+ p1 = co6 * r6;
+ p2 = si6 * s6;
+ p3 = co6 * s6;
+ p4 = si6 * r6;
+ pSrc[2 * i6] = p1 + p2;
+ pSrc[2 * i6 + 1] = p3 - p4;
+ p1 = co4 * t1;
+ p2 = si4 * t2;
+ p3 = co4 * t2;
+ p4 = si4 * t1;
+ pSrc[2 * i4] = p1 + p2;
+ pSrc[2 * i4 + 1] = p3 - p4;
+
+ i1 += n1;
+ } while (i1 < fftLen);
+
+ j++;
+ } while (j < n2);
+
+ twidCoefModifier <<= 3;
+ } while (n2 > 7);
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c
new file mode 100644
index 0000000..87455dc
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c
@@ -0,0 +1,448 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_f32.c
+ * Description: Processing function of DCT4 & IDCT4 F32
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @defgroup DCT4_IDCT4 DCT Type IV Functions
+
+ Representation of signals by minimum number of values is important for storage and transmission.
+ The possibility of large discontinuity between the beginning and end of a period of a signal
+ in DFT can be avoided by extending the signal so that it is even-symmetric.
+ Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the
+ spectrum and is very widely used in signal and image coding applications.
+ The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions.
+ DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.
+
+ DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal.
+ Reordering of the input data makes the computation of DCT just a problem of
+ computing the DFT of a real signal with a few additional operations.
+ This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.
+
+ DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used.
+ DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing.
+ DCT2 implementation can be described in the following steps:
+ - Re-ordering input
+ - Calculating Real FFT
+ - Multiplication of weights and Real FFT output and getting real part from the product.
+
+ This process is explained by the block diagram below:
+ \image html DCT4.gif "Discrete Cosine Transform - type-IV"
+
+ @par Algorithm
+ The N-point type-IV DCT is defined as a real, linear transformation by the formula:
+ \image html DCT4Equation.gif
+ where k = 0, 1, 2, ..., N-1
+ @par
+ Its inverse is defined as follows:
+ \image html IDCT4Equation.gif
+ where n = 0, 1, 2, ..., N-1
+ @par
+ The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N).
+ The symmetry of the transform matrix indicates that the fast algorithms for the forward
+ and inverse transform computation are identical.
+ Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.
+
+ @par Lengths supported by the transform:
+ As DCT4 internally uses Real FFT, it supports all the lengths 128, 512, 2048 and 8192.
+ The library provides separate functions for Q15, Q31, and floating-point data types.
+
+ @par Instance Structure
+ The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure.
+ A separate instance structure must be defined for each transform.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Initializes Real FFT as its process function is used internally in DCT4, by calling \ref arm_rfft_init_f32().
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Manually initialize the instance structure as follows:
+
+ arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+ arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+ arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+
+ where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4;
+ \c normalize is normalizing factor used and is equal to sqrt(2/N);
+ \c pTwiddle points to the twiddle factor table;
+ \c pCosFactor points to the cosFactor table;
+ \c pRfft points to the real FFT instance;
+ \c pCfft points to the complex FFT instance;
+ The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32()
+ and arm_rfft_f32() respectively for details regarding static initialization.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the DCT4 transform functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point DCT4/IDCT4.
+ @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure
+ @param[in] pState points to state buffer
+ @param[in,out] pInlineBuffer points to the in-place input and output buffer
+ @return none
+ */
+
+void arm_dct4_f32(
+ const arm_dct4_instance_f32 * S,
+ float32_t * pState,
+ float32_t * pInlineBuffer)
+{
+ const float32_t *weights = S->pTwiddle; /* Pointer to the Weights table */
+ const float32_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
+ float32_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
+ float32_t in; /* Temporary variable */
+ uint32_t i; /* Loop counter */
+
+
+ /* DCT4 computation involves DCT2 (which is calculated using RFFT)
+ * along with some pre-processing and post-processing.
+ * Computational procedure is explained as follows:
+ * (a) Pre-processing involves multiplying input with cos factor,
+ * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
+ * where,
+ * r(n) -- output of preprocessing
+ * u(n) -- input to preprocessing(actual Source buffer)
+ * (b) Calculation of DCT2 using FFT is divided into three steps:
+ * Step1: Re-ordering of even and odd elements of input.
+ * Step2: Calculating FFT of the re-ordered input.
+ * Step3: Taking the real part of the product of FFT output and weights.
+ * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * where,
+ * Y4 -- DCT4 output, Y2 -- DCT2 output
+ * (d) Multiplying the output with the normalizing factor sqrt(2/N).
+ */
+
+ /*-------- Pre-processing ------------*/
+ /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+ arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N);
+ arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N);
+
+ /* ----------------------------------------------------------------
+ * Step1: Re-ordering of even and odd elements as
+ * pState[i] = pInlineBuffer[2*i] and
+ * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
+ ---------------------------------------------------------------------*/
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+ pS2 = pState + (S->N - 1U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+ i = S->Nby2 >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ do
+ {
+ /* Re-ordering of even and odd elements */
+ /* pState[i] = pInlineBuffer[2*i] */
+ *pS1++ = *pbuff++;
+ /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+ i = S->N >> 2U;
+
+ /* Processing with loop unrolling 4 times as N is always multiple of 4.
+ * Compute 4 outputs at a time */
+ do
+ {
+ /* Writing the re-ordered output back to inplace input buffer */
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+ /* ---------------------------------------------------------
+ * Step2: Calculate RFFT for N-point input
+ * ---------------------------------------------------------- */
+ /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+ arm_rfft_f32 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_f32 (pState, weights, pState, S->N);
+
+ /* ----------- Post-processing ---------- */
+ /* DCT-IV can be obtained from DCT-II by the equation,
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * Hence, Y4(0) = Y2(0)/2 */
+ /* Getting only real part from the output and Converting to DCT-IV */
+
+ /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+ i = (S->N - 1U) >> 2U;
+
+ /* pbuff initialized to input buffer. */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+ in = *pS1++ * (float32_t) 0.5;
+ /* input buffer acts as inplace, so output values are stored in the input itself. */
+ *pbuff++ = in;
+
+ /* pState pointer is incremented twice as the real values are located alternatively in the array */
+ pS1++;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ do
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ /* points to the next real value */
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ i = (S->N - 1U) % 0x4U;
+
+ while (i > 0U)
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+
+ /* points to the next real value */
+ pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+ i = S->N >> 2U;
+
+ /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+ pbuff = pInlineBuffer;
+
+ /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */
+ do
+ {
+ /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+ in = *pbuff;
+ *pbuff++ = in * S->normalize;
+
+ in = *pbuff;
+ *pbuff++ = in * S->normalize;
+
+ in = *pbuff;
+ *pbuff++ = in * S->normalize;
+
+ in = *pbuff;
+ *pbuff++ = in * S->normalize;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+#else
+
+ /* Initializing the loop counter to N/2 */
+ i = S->Nby2;
+
+ do
+ {
+ /* Re-ordering of even and odd elements */
+ /* pState[i] = pInlineBuffer[2*i] */
+ *pS1++ = *pbuff++;
+ /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+ *pS2-- = *pbuff++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Initializing the loop counter */
+ i = S->N;
+
+ do
+ {
+ /* Writing the re-ordered output back to inplace input buffer */
+ *pbuff++ = *pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+ /* ---------------------------------------------------------
+ * Step2: Calculate RFFT for N-point input
+ * ---------------------------------------------------------- */
+ /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+ arm_rfft_f32 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_f32 (pState, weights, pState, S->N);
+
+ /* ----------- Post-processing ---------- */
+ /* DCT-IV can be obtained from DCT-II by the equation,
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * Hence, Y4(0) = Y2(0)/2 */
+ /* Getting only real part from the output and Converting to DCT-IV */
+
+ /* pbuff initialized to input buffer. */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+ in = *pS1++ * (float32_t) 0.5;
+ /* input buffer acts as inplace, so output values are stored in the input itself. */
+ *pbuff++ = in;
+
+ /* pState pointer is incremented twice as the real values are located alternatively in the array */
+ pS1++;
+
+ /* Initializing the loop counter */
+ i = (S->N - 1U);
+
+ do
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+
+ /* points to the next real value */
+ pS1++;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing loop counter */
+ i = S->N;
+
+ /* pbuff initialized to the pInlineBuffer (now contains the output values) */
+ pbuff = pInlineBuffer;
+
+ do
+ {
+ /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+ in = *pbuff;
+ *pbuff++ = in * S->normalize;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c
new file mode 100644
index 0000000..42b9df0
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_init_f32.c
+ * Description: Initialization function of DCT-4 & IDCT4 F32
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+ /**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point DCT4/IDCT4.
+ @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure
+ @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure
+ @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure
+ @param[in] N length of the DCT4
+ @param[in] Nby2 half of the length of the DCT4
+ @param[in] normalize normalizing factor.
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : N is not a supported transform length
+
+ @par Normalizing factor
+ The normalizing factor is sqrt(2/N), which depends on the size of transform N.
+ Floating-point normalizing factors are mentioned in the table below for different DCT sizes:
+
+ \image html dct4NormalizingF32Table.gif
+ */
+
+arm_status arm_dct4_init_f32(
+ arm_dct4_instance_f32 * S,
+ arm_rfft_instance_f32 * S_RFFT,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ float32_t normalize)
+{
+ /* Initialize the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+
+ /* Initialize the DCT4 length */
+ S->N = N;
+
+ /* Initialize the half of DCT4 length */
+ S->Nby2 = Nby2;
+
+ /* Initialize the DCT4 Normalizing factor */
+ S->normalize = normalize;
+
+ /* Initialize Real FFT Instance */
+ S->pRfft = S_RFFT;
+
+ /* Initialize Complex FFT Instance */
+ S->pCfft = S_CFFT;
+
+ switch (N)
+ {
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+ /* Initialize the table modifier values */
+ case 8192U:
+ S->pTwiddle = Weights_8192;
+ S->pCosFactor = cos_factors_8192;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+ case 2048U:
+ S->pTwiddle = Weights_2048;
+ S->pCosFactor = cos_factors_2048;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+ case 512U:
+ S->pTwiddle = Weights_512;
+ S->pCosFactor = cos_factors_512;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+ case 128U:
+ S->pTwiddle = Weights_128;
+ S->pCosFactor = cos_factors_128;
+ break;
+ #endif
+ default:
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+
+ /* Initialize the RFFT/RIFFT Function */
+ arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0U, 1U);
+
+ /* return the status of DCT4 Init function */
+ return (status);
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c
new file mode 100644
index 0000000..52ba8cc
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_init_q15.c
+ * Description: Initialization function of DCT-4 & IDCT4 Q15
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+ /**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 DCT4/IDCT4.
+ @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure
+ @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure
+ @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure
+ @param[in] N length of the DCT4
+ @param[in] Nby2 half of the length of the DCT4
+ @param[in] normalize normalizing factor
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : N is not a supported transform length
+
+ @par Normalizing factor
+ The normalizing factor is sqrt(2/N), which depends on the size of transform N.
+ Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes:
+
+ \image html dct4NormalizingQ15Table.gif
+ */
+
+arm_status arm_dct4_init_q15(
+ arm_dct4_instance_q15 * S,
+ arm_rfft_instance_q15 * S_RFFT,
+ arm_cfft_radix4_instance_q15 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q15_t normalize)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialize the DCT4 length */
+ S->N = N;
+
+ /* Initialize the half of DCT4 length */
+ S->Nby2 = Nby2;
+
+ /* Initialize the DCT4 Normalizing factor */
+ S->normalize = normalize;
+
+ /* Initialize Real FFT Instance */
+ S->pRfft = S_RFFT;
+
+ /* Initialize Complex FFT Instance */
+ S->pCfft = S_CFFT;
+
+ switch (N)
+ {
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+ /* Initialize the table modifier values */
+ case 8192U:
+ S->pTwiddle = WeightsQ15_8192;
+ S->pCosFactor = cos_factorsQ15_8192;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+ case 2048U:
+ S->pTwiddle = WeightsQ15_2048;
+ S->pCosFactor = cos_factorsQ15_2048;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+ case 512U:
+ S->pTwiddle = WeightsQ15_512;
+ S->pCosFactor = cos_factorsQ15_512;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+ case 128U:
+ S->pTwiddle = WeightsQ15_128;
+ S->pCosFactor = cos_factorsQ15_128;
+ break;
+ #endif
+
+ default:
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+
+ /* Initialize the RFFT/RIFFT */
+ arm_rfft_init_q15(S->pRfft, S->N, 0U, 1U);
+
+ /* return the status of DCT4 Init function */
+ return (status);
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c
new file mode 100644
index 0000000..954ebcf
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_init_q31.c
+ * Description: Initialization function of DCT-4 & IDCT4 Q31
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+ /**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 DCT4/IDCT4.
+ @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure.
+ @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure
+ @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure
+ @param[in] N length of the DCT4.
+ @param[in] Nby2 half of the length of the DCT4.
+ @param[in] normalize normalizing factor.
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : N is not a supported transform length
+
+ @par Normalizing factor:
+ The normalizing factor is sqrt(2/N), which depends on the size of transform N.
+ Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes:
+
+ \image html dct4NormalizingQ31Table.gif
+ */
+
+arm_status arm_dct4_init_q31(
+ arm_dct4_instance_q31 * S,
+ arm_rfft_instance_q31 * S_RFFT,
+ arm_cfft_radix4_instance_q31 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q31_t normalize)
+{
+ /* Initialize the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialize the DCT4 length */
+ S->N = N;
+
+ /* Initialize the half of DCT4 length */
+ S->Nby2 = Nby2;
+
+ /* Initialize the DCT4 Normalizing factor */
+ S->normalize = normalize;
+
+ /* Initialize Real FFT Instance */
+ S->pRfft = S_RFFT;
+
+ /* Initialize Complex FFT Instance */
+ S->pCfft = S_CFFT;
+
+ switch (N)
+ {
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
+ /* Initialize the table modifier values */
+ case 8192U:
+ S->pTwiddle = WeightsQ31_8192;
+ S->pCosFactor = cos_factorsQ31_8192;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
+ case 2048U:
+ S->pTwiddle = WeightsQ31_2048;
+ S->pCosFactor = cos_factorsQ31_2048;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
+ case 512U:
+ S->pTwiddle = WeightsQ31_512;
+ S->pCosFactor = cos_factorsQ31_512;
+ break;
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
+ case 128U:
+ S->pTwiddle = WeightsQ31_128;
+ S->pCosFactor = cos_factorsQ31_128;
+ break;
+ #endif
+ default:
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+
+ /* Initialize the RFFT/RIFFT Function */
+ arm_rfft_init_q31(S->pRfft, S->N, 0U, 1U);
+
+ /* return the status of DCT4 Init function */
+ return (status);
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c
new file mode 100644
index 0000000..f926a1d
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c
@@ -0,0 +1,381 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_q15.c
+ * Description: Processing function of DCT4 & IDCT4 Q15
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 DCT4/IDCT4.
+ @param[in] S points to an instance of the Q15 DCT4 structure.
+ @param[in] pState points to state buffer.
+ @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ @return none
+
+ @par Input an output formats
+ Internally inputs are downscaled in the RFFT process function to avoid overflows.
+ Number of bits downscaled, depends on the size of the transform. The input and output
+ formats for different DCT sizes and number of bits to upscale are mentioned in the table below:
+
+ \image html dct4FormatsQ15Table.gif
+ */
+
+void arm_dct4_q15(
+ const arm_dct4_instance_q15 * S,
+ q15_t * pState,
+ q15_t * pInlineBuffer)
+{
+ const q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */
+ const q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
+ q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
+ q15_t in; /* Temporary variable */
+ uint32_t i; /* Loop counter */
+
+
+ /* DCT4 computation involves DCT2 (which is calculated using RFFT)
+ * along with some pre-processing and post-processing.
+ * Computational procedure is explained as follows:
+ * (a) Pre-processing involves multiplying input with cos factor,
+ * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
+ * where,
+ * r(n) -- output of preprocessing
+ * u(n) -- input to preprocessing(actual Source buffer)
+ * (b) Calculation of DCT2 using FFT is divided into three steps:
+ * Step1: Re-ordering of even and odd elements of input.
+ * Step2: Calculating FFT of the re-ordered input.
+ * Step3: Taking the real part of the product of FFT output and weights.
+ * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * where,
+ * Y4 -- DCT4 output, Y2 -- DCT2 output
+ * (d) Multiplying the output with the normalizing factor sqrt(2/N).
+ */
+
+ /*-------- Pre-processing ------------*/
+ /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+ arm_mult_q15 (pInlineBuffer, cosFact, pInlineBuffer, S->N);
+ arm_shift_q15 (pInlineBuffer, 1, pInlineBuffer, S->N);
+
+ /* ----------------------------------------------------------------
+ * Step1: Re-ordering of even and odd elements as
+ * pState[i] = pInlineBuffer[2*i] and
+ * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
+ ---------------------------------------------------------------------*/
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+ pS2 = pState + (S->N - 1U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+ i = S->Nby2 >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ do
+ {
+ /* Re-ordering of even and odd elements */
+ /* pState[i] = pInlineBuffer[2*i] */
+ *pS1++ = *pbuff++;
+ /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+ i = S->N >> 2U;
+
+ /* Processing with loop unrolling 4 times as N is always multiple of 4.
+ * Compute 4 outputs at a time */
+ do
+ {
+ /* Writing the re-ordered output back to inplace input buffer */
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+ /* ---------------------------------------------------------
+ * Step2: Calculate RFFT for N-point input
+ * ---------------------------------------------------------- */
+ /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+ arm_rfft_q15 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N);
+
+ /* The output of complex multiplication is in 3.13 format.
+ * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+ arm_shift_q15 (pState, 2, pState, S->N * 2);
+
+ /* ----------- Post-processing ---------- */
+ /* DCT-IV can be obtained from DCT-II by the equation,
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * Hence, Y4(0) = Y2(0)/2 */
+ /* Getting only real part from the output and Converting to DCT-IV */
+
+ /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+ i = (S->N - 1U) >> 2U;
+
+ /* pbuff initialized to input buffer. */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+ in = *pS1++ >> 1U;
+ /* input buffer acts as inplace, so output values are stored in the input itself. */
+ *pbuff++ = in;
+
+ /* pState pointer is incremented twice as the real values are located alternatively in the array */
+ pS1++;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ do
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ /* points to the next real value */
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ i = (S->N - 1U) % 0x4U;
+
+ while (i > 0U)
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+
+ /* points to the next real value */
+ pS1++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+ i = S->N >> 2U;
+
+ /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+ pbuff = pInlineBuffer;
+
+ /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */
+ do
+ {
+ /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+
+#else
+
+ /* Initializing the loop counter to N/2 */
+ i = S->Nby2;
+
+ do
+ {
+ /* Re-ordering of even and odd elements */
+ /* pState[i] = pInlineBuffer[2*i] */
+ *pS1++ = *pbuff++;
+ /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+ *pS2-- = *pbuff++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Initializing the loop counter */
+ i = S->N;
+
+ do
+ {
+ /* Writing the re-ordered output back to inplace input buffer */
+ *pbuff++ = *pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+ /* ---------------------------------------------------------
+ * Step2: Calculate RFFT for N-point input
+ * ---------------------------------------------------------- */
+ /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+ arm_rfft_q15 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N);
+
+ /* The output of complex multiplication is in 3.13 format.
+ * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+ arm_shift_q15 (pState, 2, pState, S->N * 2);
+
+ /* ----------- Post-processing ---------- */
+ /* DCT-IV can be obtained from DCT-II by the equation,
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * Hence, Y4(0) = Y2(0)/2 */
+ /* Getting only real part from the output and Converting to DCT-IV */
+
+ /* pbuff initialized to input buffer. */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+ in = *pS1++ >> 1U;
+ /* input buffer acts as inplace, so output values are stored in the input itself. */
+ *pbuff++ = in;
+
+ /* pState pointer is incremented twice as the real values are located alternatively in the array */
+ pS1++;
+
+ /* Initializing the loop counter */
+ i = (S->N - 1U);
+
+ do
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+
+ /* points to the next real value */
+ pS1++;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing loop counter */
+ i = S->N;
+
+ /* pbuff initialized to the pInlineBuffer (now contains the output values) */
+ pbuff = pInlineBuffer;
+
+ do
+ {
+ /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+ in = *pbuff;
+ *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+ /* Decrement loop counter */
+ i--;
+
+ } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c
new file mode 100644
index 0000000..369a5c3
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c
@@ -0,0 +1,383 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_dct4_q31.c
+ * Description: Processing function of DCT4 & IDCT4 Q31
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @addtogroup DCT4_IDCT4
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 DCT4/IDCT4.
+ @param[in] S points to an instance of the Q31 DCT4 structure.
+ @param[in] pState points to state buffer.
+ @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ @return none
+
+ @par Input an output formats
+ Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,
+ as the conversion from DCT2 to DCT4 involves one subtraction.
+ Internally inputs are downscaled in the RFFT process function to avoid overflows.
+ Number of bits downscaled, depends on the size of the transform.
+ The input and output formats for different DCT sizes and number of bits to upscale are
+ mentioned in the table below:
+
+ \image html dct4FormatsQ31Table.gif
+ */
+
+void arm_dct4_q31(
+ const arm_dct4_instance_q31 * S,
+ q31_t * pState,
+ q31_t * pInlineBuffer)
+{
+ const q31_t *weights = S->pTwiddle; /* Pointer to the Weights table */
+ const q31_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
+ q31_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
+ q31_t in; /* Temporary variable */
+ uint32_t i; /* Loop counter */
+
+
+ /* DCT4 computation involves DCT2 (which is calculated using RFFT)
+ * along with some pre-processing and post-processing.
+ * Computational procedure is explained as follows:
+ * (a) Pre-processing involves multiplying input with cos factor,
+ * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
+ * where,
+ * r(n) -- output of preprocessing
+ * u(n) -- input to preprocessing(actual Source buffer)
+ * (b) Calculation of DCT2 using FFT is divided into three steps:
+ * Step1: Re-ordering of even and odd elements of input.
+ * Step2: Calculating FFT of the re-ordered input.
+ * Step3: Taking the real part of the product of FFT output and weights.
+ * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * where,
+ * Y4 -- DCT4 output, Y2 -- DCT2 output
+ * (d) Multiplying the output with the normalizing factor sqrt(2/N).
+ */
+
+ /*-------- Pre-processing ------------*/
+ /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+ arm_mult_q31 (pInlineBuffer, cosFact, pInlineBuffer, S->N);
+ arm_shift_q31 (pInlineBuffer, 1, pInlineBuffer, S->N);
+
+ /* ----------------------------------------------------------------
+ * Step1: Re-ordering of even and odd elements as
+ * pState[i] = pInlineBuffer[2*i] and
+ * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
+ ---------------------------------------------------------------------*/
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+ pS2 = pState + (S->N - 1U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+ i = S->Nby2 >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ do
+ {
+ /* Re-ordering of even and odd elements */
+ /* pState[i] = pInlineBuffer[2*i] */
+ *pS1++ = *pbuff++;
+ /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ *pS1++ = *pbuff++;
+ *pS2-- = *pbuff++;
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+ i = S->N >> 2U;
+
+ /* Processing with loop unrolling 4 times as N is always multiple of 4.
+ * Compute 4 outputs at a time */
+ do
+ {
+ /* Writing the re-ordered output back to inplace input buffer */
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+ *pbuff++ = *pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+ /* ---------------------------------------------------------
+ * Step2: Calculate RFFT for N-point input
+ * ---------------------------------------------------------- */
+ /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+ arm_rfft_q31 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_q31 (pState, weights, pState, S->N);
+
+ /* The output of complex multiplication is in 3.29 format.
+ * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
+ arm_shift_q31 (pState, 2, pState, S->N * 2);
+
+ /* ----------- Post-processing ---------- */
+ /* DCT-IV can be obtained from DCT-II by the equation,
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * Hence, Y4(0) = Y2(0)/2 */
+ /* Getting only real part from the output and Converting to DCT-IV */
+
+ /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+ i = (S->N - 1U) >> 2U;
+
+ /* pbuff initialized to input buffer. */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+ in = *pS1++ >> 1U;
+ /* input buffer acts as inplace, so output values are stored in the input itself. */
+ *pbuff++ = in;
+
+ /* pState pointer is incremented twice as the real values are located alternatively in the array */
+ pS1++;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ do
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ /* points to the next real value */
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ in = *pS1++ - in;
+ *pbuff++ = in;
+ pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ i = (S->N - 1U) % 0x4U;
+
+ while (i > 0U)
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+
+ /* points to the next real value */
+ pS1++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+ i = S->N >> 2U;
+
+ /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+ pbuff = pInlineBuffer;
+
+ /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */
+ do
+ {
+ /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+ in = *pbuff;
+ *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+ in = *pbuff;
+ *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+ in = *pbuff;
+ *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+ in = *pbuff;
+ *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+
+#else
+
+ /* Initializing the loop counter to N/2 */
+ i = S->Nby2;
+
+ do
+ {
+ /* Re-ordering of even and odd elements */
+ /* pState[i] = pInlineBuffer[2*i] */
+ *pS1++ = *pbuff++;
+ /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+ *pS2-- = *pbuff++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+ /* pbuff initialized to input buffer */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Initializing the loop counter */
+ i = S->N;
+
+ do
+ {
+ /* Writing the re-ordered output back to inplace input buffer */
+ *pbuff++ = *pS1++;
+
+ /* Decrement the loop counter */
+ i--;
+ } while (i > 0U);
+
+
+ /* ---------------------------------------------------------
+ * Step2: Calculate RFFT for N-point input
+ * ---------------------------------------------------------- */
+ /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+ arm_rfft_q31 (S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------
+ * Step3: Multiply the FFT output with the weights.
+ *----------------------------------------------------------------------*/
+ arm_cmplx_mult_cmplx_q31 (pState, weights, pState, S->N);
+
+ /* The output of complex multiplication is in 3.29 format.
+ * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
+ arm_shift_q31(pState, 2, pState, S->N * 2);
+
+ /* ----------- Post-processing ---------- */
+ /* DCT-IV can be obtained from DCT-II by the equation,
+ * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+ * Hence, Y4(0) = Y2(0)/2 */
+ /* Getting only real part from the output and Converting to DCT-IV */
+
+ /* pbuff initialized to input buffer. */
+ pbuff = pInlineBuffer;
+
+ /* pS1 initialized to pState */
+ pS1 = pState;
+
+ /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+ in = *pS1++ >> 1U;
+ /* input buffer acts as inplace, so output values are stored in the input itself. */
+ *pbuff++ = in;
+
+ /* pState pointer is incremented twice as the real values are located alternatively in the array */
+ pS1++;
+
+ /* Initializing the loop counter */
+ i = (S->N - 1U);
+
+ while (i > 0U)
+ {
+ /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+ /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+ in = *pS1++ - in;
+ *pbuff++ = in;
+
+ /* points to the next real value */
+ pS1++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+ /* Initializing loop counter */
+ i = S->N;
+
+ /* pbuff initialized to the pInlineBuffer (now contains the output values) */
+ pbuff = pInlineBuffer;
+
+ do
+ {
+ /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+ in = *pbuff;
+ *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+ /* Decrement loop counter */
+ i--;
+ } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+ @} end of DCT4_IDCT4 group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c
new file mode 100644
index 0000000..a1fc70f
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c
@@ -0,0 +1,311 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_f32.c
+ * Description: RFFT & RIFFT Floating point process function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+ * Internal functions prototypes
+ * -------------------------------------------------------------------- */
+
+extern void arm_radix4_butterfly_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_f32(
+ float32_t * pSrc,
+ uint16_t fftLen,
+ const float32_t * pCoef,
+ uint16_t twidCoefModifier,
+ float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+ float32_t * pSrc,
+ uint16_t fftSize,
+ uint16_t bitRevFactor,
+ const uint16_t * pBitRevTab);
+
+void arm_split_rfft_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pATable,
+ const float32_t * pBTable,
+ float32_t * pDst,
+ uint32_t modifier);
+
+void arm_split_rifft_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pATable,
+ const float32_t * pBTable,
+ float32_t * pDst,
+ uint32_t modifier);
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point RFFT/RIFFT.
+ Source buffer is modified by this function.
+
+ @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_f32 and will be removed in the future.
+ @param[in] S points to an instance of the floating-point RFFT/RIFFT structure
+ @param[in] pSrc points to the input buffer
+ @param[out] pDst points to the output buffer
+ @return none
+ */
+
+void arm_rfft_f32(
+ const arm_rfft_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst)
+{
+ const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
+
+ /* Calculation of Real IFFT of input */
+ if (S->ifftFlagR == 1U)
+ {
+ /* Real IFFT core process */
+ arm_split_rifft_f32 (pSrc, S->fftLenBy2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+
+ /* Complex radix-4 IFFT process */
+ arm_radix4_butterfly_inverse_f32 (pDst, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier, S_CFFT->onebyfftLen);
+
+ /* Bit reversal process */
+ if (S->bitReverseFlagR == 1U)
+ {
+ arm_bitreversal_f32 (pDst, S_CFFT->fftLen, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+ }
+ }
+ else
+ {
+ /* Calculation of RFFT of input */
+
+ /* Complex radix-4 FFT process */
+ arm_radix4_butterfly_f32 (pSrc, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
+
+ /* Bit reversal process */
+ if (S->bitReverseFlagR == 1U)
+ {
+ arm_bitreversal_f32 (pSrc, S_CFFT->fftLen, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+ }
+
+ /* Real FFT core process */
+ arm_split_rfft_f32 (pSrc, S->fftLenBy2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+ }
+
+}
+
+/**
+ @} end of RealFFT group
+ */
+
+/**
+ @brief Core Real FFT process
+ @param[in] pSrc points to input buffer
+ @param[in] fftLen length of FFT
+ @param[in] pATable points to twiddle Coef A buffer
+ @param[in] pBTable points to twiddle Coef B buffer
+ @param[out] pDst points to output buffer
+ @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+ */
+
+void arm_split_rfft_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pATable,
+ const float32_t * pBTable,
+ float32_t * pDst,
+ uint32_t modifier)
+{
+ uint32_t i; /* Loop Counter */
+ float32_t outR, outI; /* Temporary variables for output */
+ const float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
+ float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U]; /* temp pointers for output buffer */
+ float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U]; /* temp pointers for input buffer */
+
+ /* Init coefficient pointers */
+ pCoefA = &pATable[modifier * 2];
+ pCoefB = &pBTable[modifier * 2];
+
+ i = fftLen - 1U;
+
+ while (i > 0U)
+ {
+ /*
+ outR = ( pSrc[2 * i] * pATable[2 * i]
+ - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ + pSrc[2 * n - 2 * i] * pBTable[2 * i]
+ + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ + pIn[2 * i] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+ */
+
+ /* read pATable[2 * i] */
+ CoefA1 = *pCoefA++;
+ /* pATable[2 * i + 1] */
+ CoefA2 = *pCoefA;
+
+ /* pSrc[2 * i] * pATable[2 * i] */
+ outR = *pSrc1 * CoefA1;
+ /* pSrc[2 * i] * CoefA2 */
+ outI = *pSrc1++ * CoefA2;
+
+ /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
+ outR -= (*pSrc1 + *pSrc2) * CoefA2;
+ /* pSrc[2 * i + 1] * CoefA1 */
+ outI += *pSrc1++ * CoefA1;
+
+ CoefB1 = *pCoefB;
+
+ /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
+ outI -= *pSrc2-- * CoefB1;
+ /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
+ outI -= *pSrc2 * CoefA2;
+
+ /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
+ outR += *pSrc2-- * CoefB1;
+
+ /* write output */
+ *pDst1++ = outR;
+ *pDst1++ = outI;
+
+ /* write complex conjugate output */
+ *pDst2-- = -outI;
+ *pDst2-- = outR;
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (modifier * 2U);
+ pCoefA = pCoefA + ((modifier * 2U) - 1U);
+
+ i--;
+
+ }
+
+ pDst[2U * fftLen] = pSrc[0] - pSrc[1];
+ pDst[(2U * fftLen) + 1U] = 0.0f;
+
+ pDst[0] = pSrc[0] + pSrc[1];
+ pDst[1] = 0.0f;
+
+}
+
+
+/**
+ @brief Core Real IFFT process
+ @param[in] pSrc points to input buffer
+ @param[in] fftLen length of FFT
+ @param[in] pATable points to twiddle Coef A buffer
+ @param[in] pBTable points to twiddle Coef B buffer
+ @param[out] pDst points to output buffer
+ @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+ */
+
+void arm_split_rifft_f32(
+ float32_t * pSrc,
+ uint32_t fftLen,
+ const float32_t * pATable,
+ const float32_t * pBTable,
+ float32_t * pDst,
+ uint32_t modifier)
+{
+ float32_t outR, outI; /* Temporary variables for output */
+ const float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
+ float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U];
+
+ pCoefA = &pATable[0];
+ pCoefB = &pBTable[0];
+
+ while (fftLen > 0U)
+ {
+ /*
+ outR = ( pIn[2 * i] * pATable[2 * i]
+ + pIn[2 * i + 1] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ - pIn[2 * i] * pATable[2 * i + 1]
+ - pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+ */
+
+ CoefA1 = *pCoefA++;
+ CoefA2 = *pCoefA;
+
+ /* outR = (pSrc[2 * i] * CoefA1 */
+ outR = *pSrc1 * CoefA1;
+
+ /* - pSrc[2 * i] * CoefA2 */
+ outI = -(*pSrc1++) * CoefA2;
+
+ /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
+ outR += (*pSrc1 + *pSrc2) * CoefA2;
+
+ /* pSrc[2 * i + 1] * CoefA1 */
+ outI += (*pSrc1++) * CoefA1;
+
+ CoefB1 = *pCoefB;
+
+ /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
+ outI -= *pSrc2-- * CoefB1;
+
+ /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
+ outR += *pSrc2 * CoefB1;
+
+ /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
+ outI += *pSrc2-- * CoefA2;
+
+ /* write output */
+ *pDst++ = outR;
+ *pDst++ = outI;
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (modifier * 2);
+ pCoefA = pCoefA + (modifier * 2 - 1);
+
+ /* Decrement loop count */
+ fftLen--;
+ }
+
+}
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c
new file mode 100644
index 0000000..dde22d1
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c
@@ -0,0 +1,603 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_f32.c
+ * Description: RFFT & RIFFT Floating point process function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+void stage_rfft_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p,
+ float32_t * pOut)
+{
+ uint32_t k; /* Loop Counter */
+ float32_t twR, twI; /* RFFT Twiddle coefficients */
+ const float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
+ float32_t *pA = p; /* increasing pointer */
+ float32_t *pB = p; /* decreasing pointer */
+ float32_t xAR, xAI, xBR, xBI; /* temporary variables */
+ float32_t t1a, t1b; /* temporary variables */
+ float32_t p0, p1, p2, p3; /* temporary variables */
+
+ float32x4x2_t tw,xA,xB;
+ float32x4x2_t tmp1, tmp2, res;
+
+ uint32x4_t vecStridesFwd, vecStridesBkwd;
+
+ vecStridesFwd = vidupq_u32((uint32_t)0, 2);
+ vecStridesBkwd = -vecStridesFwd;
+
+ int blockCnt;
+
+
+ k = (S->Sint).fftLen - 1;
+
+ /* Pack first and last sample of the frequency domain together */
+
+ xBR = pB[0];
+ xBI = pB[1];
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++ ;
+ twI = *pCoeff++ ;
+
+ // U1 = XA(1) + XB(1); % It is real
+ t1a = xBR + xAR ;
+
+ // U2 = XB(1) - XA(1); % It is imaginary
+ t1b = xBI + xAI ;
+
+ // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+ // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+ *pOut++ = 0.5f * ( t1a + t1b );
+ *pOut++ = 0.5f * ( t1a - t1b );
+
+ // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) ));
+ pB = p + 2*k;
+ pA += 2;
+
+ blockCnt = k >> 2;
+ while (blockCnt > 0)
+ {
+ /*
+ function X = my_split_rfft(X, ifftFlag)
+ % X is a series of real numbers
+ L = length(X);
+ XC = X(1:2:end) +i*X(2:2:end);
+ XA = fft(XC);
+ XB = conj(XA([1 end:-1:2]));
+ TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+ for l = 2:L/2
+ XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+ end
+ XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+ X = XA;
+ */
+
+
+ xA = vld2q_f32(pA);
+ pA += 8;
+
+ xB = vld2q_f32(pB);
+
+ xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd);
+ xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd);
+
+ xB.val[1] = vnegq_f32(xB.val[1]);
+ pB -= 8;
+
+
+ tw = vld2q_f32(pCoeff);
+ pCoeff += 8;
+
+
+ tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]);
+ tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]);
+
+ tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]);
+ tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]);
+
+ res.val[0] = vmulq(tw.val[0], tmp2.val[0]);
+ res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]);
+
+ res.val[1] = vmulq(tw.val[0], tmp2.val[1]);
+ res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]);
+
+ res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] );
+ res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] );
+
+ res.val[0] = vmulq_n_f32(res.val[0], 0.5f);
+ res.val[1] = vmulq_n_f32(res.val[1], 0.5f);
+
+
+ vst2q_f32(pOut, res);
+ pOut += 8;
+
+
+ blockCnt--;
+ }
+
+ blockCnt = k & 3;
+ while (blockCnt > 0)
+ {
+ /*
+ function X = my_split_rfft(X, ifftFlag)
+ % X is a series of real numbers
+ L = length(X);
+ XC = X(1:2:end) +i*X(2:2:end);
+ XA = fft(XC);
+ XB = conj(XA([1 end:-1:2]));
+ TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+ for l = 2:L/2
+ XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+ end
+ XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+ X = XA;
+ */
+
+ xBI = pB[1];
+ xBR = pB[0];
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++;
+ twI = *pCoeff++;
+
+ t1a = xBR - xAR ;
+ t1b = xBI + xAI ;
+
+ // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+ // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+ p0 = twR * t1a;
+ p1 = twI * t1a;
+ p2 = twR * t1b;
+ p3 = twI * t1b;
+
+ *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
+ *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
+
+ pA += 2;
+ pB -= 2;
+ blockCnt--;
+ }
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p,
+ float32_t * pOut)
+{
+ uint32_t k; /* Loop Counter */
+ float32_t twR, twI; /* RFFT Twiddle coefficients */
+ const float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
+ float32_t *pA = p; /* increasing pointer */
+ float32_t *pB = p; /* decreasing pointer */
+ float32_t xAR, xAI, xBR, xBI; /* temporary variables */
+ float32_t t1a, t1b, r, s, t, u; /* temporary variables */
+
+ float32x4x2_t tw,xA,xB;
+ float32x4x2_t tmp1, tmp2, res;
+ uint32x4_t vecStridesFwd, vecStridesBkwd;
+
+ vecStridesFwd = vidupq_u32((uint32_t)0, 2);
+ vecStridesBkwd = -vecStridesFwd;
+
+ int blockCnt;
+
+
+ k = (S->Sint).fftLen - 1;
+
+ xAR = pA[0];
+ xAI = pA[1];
+
+ pCoeff += 2 ;
+
+ *pOut++ = 0.5f * ( xAR + xAI );
+ *pOut++ = 0.5f * ( xAR - xAI );
+
+ pB = p + 2*k ;
+ pA += 2 ;
+
+ blockCnt = k >> 2;
+ while (blockCnt > 0)
+ {
+ /* G is half of the frequency complex spectrum */
+ //for k = 2:N
+ // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+ xA = vld2q_f32(pA);
+ pA += 8;
+
+ xB = vld2q_f32(pB);
+
+ xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd);
+ xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd);
+
+ xB.val[1] = vnegq_f32(xB.val[1]);
+ pB -= 8;
+
+
+ tw = vld2q_f32(pCoeff);
+ tw.val[1] = vnegq_f32(tw.val[1]);
+ pCoeff += 8;
+
+
+ tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]);
+ tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]);
+
+ tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]);
+ tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]);
+
+ res.val[0] = vmulq(tw.val[0], tmp2.val[0]);
+ res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]);
+
+ res.val[1] = vmulq(tw.val[0], tmp2.val[1]);
+ res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]);
+
+ res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] );
+ res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] );
+
+ res.val[0] = vmulq_n_f32(res.val[0], 0.5f);
+ res.val[1] = vmulq_n_f32(res.val[1], 0.5f);
+
+
+ vst2q_f32(pOut, res);
+ pOut += 8;
+
+
+ blockCnt--;
+ }
+
+ blockCnt = k & 3;
+ while (blockCnt > 0)
+ {
+ /* G is half of the frequency complex spectrum */
+ //for k = 2:N
+ // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+ xBI = pB[1] ;
+ xBR = pB[0] ;
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++;
+ twI = *pCoeff++;
+
+ t1a = xAR - xBR ;
+ t1b = xAI + xBI ;
+
+ r = twR * t1a;
+ s = twI * t1b;
+ t = twI * t1a;
+ u = twR * t1b;
+
+ // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+ // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+ *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
+ *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
+
+ pA += 2;
+ pB -= 2;
+ blockCnt--;
+ }
+
+}
+#else
+void stage_rfft_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p,
+ float32_t * pOut)
+{
+ uint32_t k; /* Loop Counter */
+ float32_t twR, twI; /* RFFT Twiddle coefficients */
+ const float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
+ float32_t *pA = p; /* increasing pointer */
+ float32_t *pB = p; /* decreasing pointer */
+ float32_t xAR, xAI, xBR, xBI; /* temporary variables */
+ float32_t t1a, t1b; /* temporary variables */
+ float32_t p0, p1, p2, p3; /* temporary variables */
+
+
+ k = (S->Sint).fftLen - 1;
+
+ /* Pack first and last sample of the frequency domain together */
+
+ xBR = pB[0];
+ xBI = pB[1];
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++ ;
+ twI = *pCoeff++ ;
+
+
+ // U1 = XA(1) + XB(1); % It is real
+ t1a = xBR + xAR ;
+
+ // U2 = XB(1) - XA(1); % It is imaginary
+ t1b = xBI + xAI ;
+
+ // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+ // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+ *pOut++ = 0.5f * ( t1a + t1b );
+ *pOut++ = 0.5f * ( t1a - t1b );
+
+ // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) ));
+ pB = p + 2*k;
+ pA += 2;
+
+ do
+ {
+ /*
+ function X = my_split_rfft(X, ifftFlag)
+ % X is a series of real numbers
+ L = length(X);
+ XC = X(1:2:end) +i*X(2:2:end);
+ XA = fft(XC);
+ XB = conj(XA([1 end:-1:2]));
+ TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+ for l = 2:L/2
+ XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+ end
+ XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+ X = XA;
+ */
+
+ xBI = pB[1];
+ xBR = pB[0];
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++;
+ twI = *pCoeff++;
+
+ t1a = xBR - xAR ;
+ t1b = xBI + xAI ;
+
+ // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+ // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+ p0 = twR * t1a;
+ p1 = twI * t1a;
+ p2 = twR * t1b;
+ p3 = twI * t1b;
+
+ *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
+ *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
+
+
+ pA += 2;
+ pB -= 2;
+ k--;
+ } while (k > 0U);
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p,
+ float32_t * pOut)
+{
+ uint32_t k; /* Loop Counter */
+ float32_t twR, twI; /* RFFT Twiddle coefficients */
+ const float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
+ float32_t *pA = p; /* increasing pointer */
+ float32_t *pB = p; /* decreasing pointer */
+ float32_t xAR, xAI, xBR, xBI; /* temporary variables */
+ float32_t t1a, t1b, r, s, t, u; /* temporary variables */
+
+ k = (S->Sint).fftLen - 1;
+
+ xAR = pA[0];
+ xAI = pA[1];
+
+ pCoeff += 2 ;
+
+ *pOut++ = 0.5f * ( xAR + xAI );
+ *pOut++ = 0.5f * ( xAR - xAI );
+
+ pB = p + 2*k ;
+ pA += 2 ;
+
+ while (k > 0U)
+ {
+ /* G is half of the frequency complex spectrum */
+ //for k = 2:N
+ // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+ xBI = pB[1] ;
+ xBR = pB[0] ;
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++;
+ twI = *pCoeff++;
+
+ t1a = xAR - xBR ;
+ t1b = xAI + xBI ;
+
+ r = twR * t1a;
+ s = twI * t1b;
+ t = twI * t1a;
+ u = twR * t1b;
+
+ // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+ // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+ *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
+ *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
+
+ pA += 2;
+ pB -= 2;
+ k--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @ingroup groupTransforms
+*/
+
+/**
+ @defgroup RealFFT Real FFT Functions
+
+ @par
+ The CMSIS DSP library includes specialized algorithms for computing the
+ FFT of real data sequences. The FFT is defined over complex data but
+ in many applications the input is real. Real FFT algorithms take advantage
+ of the symmetry properties of the FFT and have a speed advantage over complex
+ algorithms of the same length.
+ @par
+ The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage.
+ @par
+ The real length N forward FFT of a sequence is computed using the steps shown below.
+ @par
+ \image html RFFT.gif "Real Fast Fourier Transform"
+ @par
+ The real sequence is initially treated as if it were complex to perform a CFFT.
+ Later, a processing stage reshapes the data to obtain half of the frequency spectrum
+ in complex format. Except the first complex number that contains the two real numbers
+ X[0] and X[N/2] all the data is complex. In other words, the first complex sample
+ contains two real values packed.
+ @par
+ The input for the inverse RFFT should keep the same format as the output of the
+ forward RFFT. A first processing stage pre-process the data to later perform an
+ inverse CFFT.
+ @par
+ \image html RIFFT.gif "Real Inverse Fast Fourier Transform"
+ @par
+ The algorithms for floating-point, Q15, and Q31 data are slightly different
+ and we describe each algorithm in turn.
+ @par Floating-point
+ The main functions are \ref arm_rfft_fast_f32() and \ref arm_rfft_fast_init_f32().
+ The older functions \ref arm_rfft_f32() and \ref arm_rfft_init_f32() have been deprecated
+ but are still documented.
+ @par
+ The FFT of a real N-point sequence has even symmetry in the frequency domain.
+ The second half of the data equals the conjugate of the first half flipped in frequency.
+ Looking at the data, we see that we can uniquely represent the FFT using only N/2 complex numbers.
+ These are packed into the output array in alternating real and imaginary components:
+ @par
+ X = { real[0], imag[0], real[1], imag[1], real[2], imag[2] ...
+ real[(N/2)-1], imag[(N/2)-1 }
+ @par
+ It happens that the first complex number (real[0], imag[0]) is actually
+ all real. real[0] represents the DC offset, and imag[0] should be 0.
+ (real[1], imag[1]) is the fundamental frequency, (real[2], imag[2]) is
+ the first harmonic and so on.
+ @par
+ The real FFT functions pack the frequency domain data in this fashion.
+ The forward transform outputs the data in this form and the inverse
+ transform expects input data in this form. The function always performs
+ the needed bitreversal so that the input and output data is always in
+ normal order. The functions support lengths of [32, 64, 128, ..., 4096]
+ samples.
+ @par Q15 and Q31
+ The real algorithms are defined in a similar manner and utilize N/2 complex
+ transforms behind the scenes.
+ @par
+ The complex transforms used internally include scaling to prevent fixed-point
+ overflows. The overall scaling equals 1/(fftLen/2).
+ Due to the use of complex transform internally, the source buffer is
+ modified by the rfft.
+ @par
+ A separate instance structure must be defined for each transform used but
+ twiddle factor and bit reversal tables can be reused.
+ @par
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Initializes twiddle factor table and bit reversal table pointers.
+ - Initializes the internal complex FFT data structure.
+ @par
+ Use of the initialization function is optional **except for MVE versions where it is mandatory**.
+ If you don't use the initialization functions, then the structures should be initialized with code
+ similar to the one below:
+
+ arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+ arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+
+ where fftLenReal is the length of the real transform;
+ fftLenBy2 length of the internal complex transform (fftLenReal/2).
+ ifftFlagR Selects forward (=0) or inverse (=1) transform.
+ bitReverseFlagR Selects bit reversed output (=0) or normal order
+ output (=1).
+ twidCoefRModifier stride modifier for the twiddle factor table.
+ The value is based on the FFT length;
+ pTwiddleARealpoints to the A array of twiddle coefficients;
+ pTwiddleBRealpoints to the B array of twiddle coefficients;
+ pCfft points to the CFFT Instance structure. The CFFT structure
+ must also be initialized.
+@par
+ Note that with MVE versions you can't initialize instance structures directly and **must
+ use the initialization function**.
+ */
+
+/**
+ @addtogroup RealFFT
+ @{
+*/
+
+/**
+ @brief Processing function for the floating-point real FFT.
+ @param[in] S points to an arm_rfft_fast_instance_f32 structure
+ @param[in] p points to input buffer (Source buffer is modified by this function.)
+ @param[in] pOut points to output buffer
+ @param[in] ifftFlag
+ - value = 0: RFFT
+ - value = 1: RIFFT
+ @return none
+*/
+
+void arm_rfft_fast_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p,
+ float32_t * pOut,
+ uint8_t ifftFlag)
+{
+ const arm_cfft_instance_f32 * Sint = &(S->Sint);
+
+ /* Calculation of Real FFT */
+ if (ifftFlag)
+ {
+ /* Real FFT compression */
+ merge_rfft_f32(S, p, pOut);
+ /* Complex radix-4 IFFT process */
+ arm_cfft_f32( Sint, pOut, ifftFlag, 1);
+ }
+ else
+ {
+ /* Calculation of RFFT of input */
+ arm_cfft_f32( Sint, p, ifftFlag, 1);
+
+ /* Real FFT extraction */
+ stage_rfft_f32(S, p, pOut);
+ }
+}
+
+/**
+* @} end of RealFFT group
+*/
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f64.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f64.c
new file mode 100755
index 0000000..16a7a03
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f64.c
@@ -0,0 +1,228 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_f64.c
+ * Description: RFFT & RIFFT Double precision Floating point process function
+ *
+ * $Date: 29. November 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void stage_rfft_f64(
+ const arm_rfft_fast_instance_f64 * S,
+ float64_t * p,
+ float64_t * pOut)
+{
+ uint32_t k; /* Loop Counter */
+ float64_t twR, twI; /* RFFT Twiddle coefficients */
+ const float64_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
+ float64_t *pA = p; /* increasing pointer */
+ float64_t *pB = p; /* decreasing pointer */
+ float64_t xAR, xAI, xBR, xBI; /* temporary variables */
+ float64_t t1a, t1b; /* temporary variables */
+ float64_t p0, p1, p2, p3; /* temporary variables */
+
+
+ k = (S->Sint).fftLen - 1;
+
+ /* Pack first and last sample of the frequency domain together */
+
+ xBR = pB[0];
+ xBI = pB[1];
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++ ;
+ twI = *pCoeff++ ;
+
+ // U1 = XA(1) + XB(1); % It is real
+ t1a = xBR + xAR ;
+
+ // U2 = XB(1) - XA(1); % It is imaginary
+ t1b = xBI + xAI ;
+
+ // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+ // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+ *pOut++ = 0.5 * ( t1a + t1b );
+ *pOut++ = 0.5 * ( t1a - t1b );
+
+ // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) ));
+ pB = p + 2*k;
+ pA += 2;
+
+ do
+ {
+ /*
+ function X = my_split_rfft(X, ifftFlag)
+ % X is a series of real numbers
+ L = length(X);
+ XC = X(1:2:end) +i*X(2:2:end);
+ XA = fft(XC);
+ XB = conj(XA([1 end:-1:2]));
+ TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+ for l = 2:L/2
+ XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+ end
+ XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+ X = XA;
+ */
+
+ xBI = pB[1];
+ xBR = pB[0];
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++;
+ twI = *pCoeff++;
+
+ t1a = xBR - xAR ;
+ t1b = xBI + xAI ;
+
+ // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+ // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+ p0 = twR * t1a;
+ p1 = twI * t1a;
+ p2 = twR * t1b;
+ p3 = twI * t1b;
+
+ *pOut++ = 0.5 * (xAR + xBR + p0 + p3 ); //xAR
+ *pOut++ = 0.5 * (xAI - xBI + p1 - p2 ); //xAI
+
+ pA += 2;
+ pB -= 2;
+ k--;
+ } while (k > 0U);
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f64(
+ const arm_rfft_fast_instance_f64 * S,
+ float64_t * p,
+ float64_t * pOut)
+{
+ uint32_t k; /* Loop Counter */
+ float64_t twR, twI; /* RFFT Twiddle coefficients */
+ const float64_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
+ float64_t *pA = p; /* increasing pointer */
+ float64_t *pB = p; /* decreasing pointer */
+ float64_t xAR, xAI, xBR, xBI; /* temporary variables */
+ float64_t t1a, t1b, r, s, t, u; /* temporary variables */
+
+ k = (S->Sint).fftLen - 1;
+
+ xAR = pA[0];
+ xAI = pA[1];
+
+ pCoeff += 2 ;
+
+ *pOut++ = 0.5 * ( xAR + xAI );
+ *pOut++ = 0.5 * ( xAR - xAI );
+
+ pB = p + 2*k ;
+ pA += 2 ;
+
+ while (k > 0U)
+ {
+ /* G is half of the frequency complex spectrum */
+ //for k = 2:N
+ // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+ xBI = pB[1] ;
+ xBR = pB[0] ;
+ xAR = pA[0];
+ xAI = pA[1];
+
+ twR = *pCoeff++;
+ twI = *pCoeff++;
+
+ t1a = xAR - xBR ;
+ t1b = xAI + xBI ;
+
+ r = twR * t1a;
+ s = twI * t1b;
+ t = twI * t1a;
+ u = twR * t1b;
+
+ // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+ // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+ *pOut++ = 0.5 * (xAR + xBR - r - s ); //xAR
+ *pOut++ = 0.5 * (xAI - xBI + t - u ); //xAI
+
+ pA += 2;
+ pB -= 2;
+ k--;
+ }
+
+}
+
+/**
+ @ingroup groupTransforms
+*/
+
+
+/**
+ @addtogroup RealFFT
+ @{
+*/
+
+/**
+ @brief Processing function for the Double Precision floating-point real FFT.
+ @param[in] S points to an arm_rfft_fast_instance_f64 structure
+ @param[in] p points to input buffer (Source buffer is modified by this function.)
+ @param[in] pOut points to output buffer
+ @param[in] ifftFlag
+ - value = 0: RFFT
+ - value = 1: RIFFT
+ @return none
+*/
+
+void arm_rfft_fast_f64(
+ arm_rfft_fast_instance_f64 * S,
+ float64_t * p,
+ float64_t * pOut,
+ uint8_t ifftFlag)
+{
+ arm_cfft_instance_f64 * Sint = &(S->Sint);
+ Sint->fftLen = S->fftLenRFFT / 2;
+
+ /* Calculation of Real FFT */
+ if (ifftFlag)
+ {
+ /* Real FFT compression */
+ merge_rfft_f64(S, p, pOut);
+
+ /* Complex radix-4 IFFT process */
+ arm_cfft_f64( Sint, pOut, ifftFlag, 1);
+ }
+ else
+ {
+ /* Calculation of RFFT of input */
+ arm_cfft_f64( Sint, p, ifftFlag, 1);
+
+ /* Real FFT extraction */
+ stage_rfft_f64(S, p, pOut);
+ }
+}
+
+/**
+* @} end of RealFFT group
+*/
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c
new file mode 100644
index 0000000..72a6768
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c
@@ -0,0 +1,352 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_init_f32.c
+ * Description: Split Radix Decimation in Frequency CFFT Floating point processing function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+
+/**
+ @private
+ @brief Initialization function for the 32pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_32_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),16);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+
+ S->fftLenRFFT = 32U;
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_32;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+
+/**
+ @private
+ @brief Initialization function for the 64pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_64_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),32);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 64U;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_64;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+
+/**
+ @private
+ @brief Initialization function for the 128pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_128_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),64);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 128;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_128;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+
+/**
+ @private
+ @brief Initialization function for the 256pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+*/
+
+static arm_status arm_rfft_256_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),128);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 256U;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_256;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+
+/**
+ @private
+ @brief Initialization function for the 512pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_512_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),256);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 512U;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_512;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+/**
+ @private
+ @brief Initialization function for the 1024pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_1024_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),512);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 1024U;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_1024;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+/**
+ @private
+ @brief Initialization function for the 2048pt floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+static arm_status arm_rfft_2048_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),1024);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 2048U;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_2048;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+/**
+ @private
+* @brief Initialization function for the 4096pt floating-point real FFT.
+* @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_4096_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+ arm_status status;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ status=arm_cfft_init_f32(&(S->Sint),2048);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ S->fftLenRFFT = 4096U;
+
+ S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_4096;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+/**
+ @brief Initialization function for the floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f32 structure
+ @param[in] fftLen length of the Real Sequence
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Description
+ The parameter fftLen specifies the length of RFFT/CIFFT process.
+ Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_rfft_fast_init_f32(
+ arm_rfft_fast_instance_f32 * S,
+ uint16_t fftLen)
+{
+ typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f32 *);
+ fft_init_ptr fptr = 0x0;
+
+ switch (fftLen)
+ {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+ case 4096U:
+ fptr = arm_rfft_4096_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+ case 2048U:
+ fptr = arm_rfft_2048_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+ case 1024U:
+ fptr = arm_rfft_1024_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+ case 512U:
+ fptr = arm_rfft_512_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+ case 256U:
+ fptr = arm_rfft_256_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+ case 128U:
+ fptr = arm_rfft_128_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+ case 64U:
+ fptr = arm_rfft_64_fast_init_f32;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+ case 32U:
+ fptr = arm_rfft_32_fast_init_f32;
+ break;
+#endif
+ default:
+ return ARM_MATH_ARGUMENT_ERROR;
+ }
+
+ if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR;
+ return fptr( S );
+
+}
+
+/**
+ @} end of RealFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f64.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f64.c
new file mode 100755
index 0000000..3ea02ff
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f64.c
@@ -0,0 +1,344 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cfft_init_f64.c
+ * Description: Split Radix Decimation in Frequency CFFT Double Precision Floating point processing function
+ *
+ * $Date: 29. November 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupTransforms
+ */
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16) && defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+
+/**
+ @brief Initialization function for the 32pt double precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_32_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 16U;
+ S->fftLenRFFT = 32U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_16;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_16;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_32;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+
+/**
+ @brief Initialization function for the 64pt Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_64_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 32U;
+ S->fftLenRFFT = 64U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_32;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_32;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_64;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+
+/**
+ @brief Initialization function for the 128pt Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_128_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 64U;
+ S->fftLenRFFT = 128U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_64;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_64;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_128;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+
+/**
+ @brief Initialization function for the 256pt Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+*/
+
+static arm_status arm_rfft_256_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 128U;
+ S->fftLenRFFT = 256U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_128;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_128;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_256;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+
+/**
+ @brief Initialization function for the 512pt Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_512_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 256U;
+ S->fftLenRFFT = 512U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_256;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_256;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_512;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+/**
+ @brief Initialization function for the 1024pt Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_1024_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 512U;
+ S->fftLenRFFT = 1024U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_512;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_512;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_1024;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+/**
+ @brief Initialization function for the 2048pt Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+static arm_status arm_rfft_2048_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 1024U;
+ S->fftLenRFFT = 2048U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_1024;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_1024;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_2048;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+/**
+* @brief Initialization function for the 4096pt Double Precision floating-point real FFT.
+* @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_4096_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+ arm_cfft_instance_f64 * Sint;
+
+ if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+ Sint = &(S->Sint);
+ Sint->fftLen = 2048U;
+ S->fftLenRFFT = 4096U;
+
+ Sint->bitRevLength = ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH;
+ Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_2048;
+ Sint->pTwiddle = (float64_t *) twiddleCoefF64_2048;
+ S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_4096;
+
+ return ARM_MATH_SUCCESS;
+}
+#endif
+
+/**
+ @brief Initialization function for the Double Precision floating-point real FFT.
+ @param[in,out] S points to an arm_rfft_fast_instance_f64 structure
+ @param[in] fftLen length of the Real Sequence
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length
+
+ @par Description
+ The parameter fftLen specifies the length of RFFT/CIFFT process.
+ Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.
+ @par
+ This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_rfft_fast_init_f64(
+ arm_rfft_fast_instance_f64 * S,
+ uint16_t fftLen)
+{
+ typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f64 *);
+ fft_init_ptr fptr = 0x0;
+
+ switch (fftLen)
+ {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+ case 4096U:
+ fptr = arm_rfft_4096_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+ case 2048U:
+ fptr = arm_rfft_2048_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+ case 1024U:
+ fptr = arm_rfft_1024_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+ case 512U:
+ fptr = arm_rfft_512_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+ case 256U:
+ fptr = arm_rfft_256_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+ case 128U:
+ fptr = arm_rfft_128_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+ case 64U:
+ fptr = arm_rfft_64_fast_init_f64;
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16) && defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+ case 32U:
+ fptr = arm_rfft_32_fast_init_f64;
+ break;
+#endif
+ default:
+ return ARM_MATH_ARGUMENT_ERROR;
+ }
+
+ if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR;
+ return fptr( S );
+
+}
+
+/**
+ @} end of RealFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c
new file mode 100644
index 0000000..141f8b6
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c
@@ -0,0 +1,139 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_init_f32.c
+ * Description: RFFT & RIFFT Floating point initialisation function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point RFFT/RIFFT.
+ @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed in the future.
+ @param[in,out] S points to an instance of the floating-point RFFT/RIFFT structure
+ @param[in,out] S_CFFT points to an instance of the floating-point CFFT/CIFFT structure
+ @param[in] fftLenReal length of the FFT.
+ @param[in] ifftFlagR flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length
+
+ @par Description
+ The parameter fftLenRealspecifies length of RFFT/RIFFT Process.
+ Supported FFT Lengths are 128, 512, 2048.
+ @par
+ The parameter ifftFlagR controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ This function also initializes Twiddle factor table.
+ */
+
+arm_status arm_rfft_init_f32(
+ arm_rfft_instance_f32 * S,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag)
+{
+
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialize the Real FFT length */
+ S->fftLenReal = (uint16_t) fftLenReal;
+
+ /* Initialize the Complex FFT length */
+ S->fftLenBy2 = (uint16_t) fftLenReal / 2U;
+
+ /* Initialize the Twiddle coefficientA pointer */
+ S->pTwiddleAReal = (float32_t *) realCoefA;
+
+ /* Initialize the Twiddle coefficientB pointer */
+ S->pTwiddleBReal = (float32_t *) realCoefB;
+
+ /* Initialize the Flag for selection of RFFT or RIFFT */
+ S->ifftFlagR = (uint8_t) ifftFlagR;
+
+ /* Initialize the Flag for calculation Bit reversal or not */
+ S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+ /* Initializations of structure parameters depending on the FFT length */
+ switch (S->fftLenReal)
+ {
+ /* Init table modifier value */
+ case 8192U:
+ S->twidCoefRModifier = 1U;
+ break;
+ case 2048U:
+ S->twidCoefRModifier = 4U;
+ break;
+ case 512U:
+ S->twidCoefRModifier = 16U;
+ break;
+ case 128U:
+ S->twidCoefRModifier = 64U;
+ break;
+ default:
+ /* Reporting argument error if rfftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ /* Init Complex FFT Instance */
+ S->pCfft = S_CFFT;
+
+ if (S->ifftFlagR)
+ {
+ /* Initializes the CIFFT Module for fftLenreal/2 length */
+ arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1U, 0U);
+ }
+ else
+ {
+ /* Initializes the CFFT Module for fftLenreal/2 length */
+ arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0U, 0U);
+ }
+
+ /* return the status of RFFT Init function */
+ return (status);
+
+}
+
+/**
+ @} end of RealFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c
new file mode 100644
index 0000000..11e175c
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c
@@ -0,0 +1,239 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_init_q15.c
+ * Description: RFFT & RIFFT Q15 initialisation function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 RFFT/RIFFT.
+ @param[in,out] S points to an instance of the Q15 RFFT/RIFFT structure
+ @param[in] fftLenReal length of the FFT
+ @param[in] ifftFlagR flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length
+
+ @par Details
+ The parameter fftLenReal specifies length of RFFT/RIFFT Process.
+ Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
+ @par
+ The parameter ifftFlagR controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ This function also initializes Twiddle factor table.
+ */
+
+arm_status arm_rfft_init_q15(
+ arm_rfft_instance_q15 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialize the Real FFT length */
+ S->fftLenReal = (uint16_t) fftLenReal;
+
+ /* Initialize the Twiddle coefficientA pointer */
+ S->pTwiddleAReal = (q15_t *) realCoefAQ15;
+
+ /* Initialize the Twiddle coefficientB pointer */
+ S->pTwiddleBReal = (q15_t *) realCoefBQ15;
+
+ /* Initialize the Flag for selection of RFFT or RIFFT */
+ S->ifftFlagR = (uint8_t) ifftFlagR;
+
+ /* Initialize the Flag for calculation Bit reversal or not */
+ S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+ /* Initialization of coef modifier depending on the FFT length */
+ switch (S->fftLenReal)
+ {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+ case 8192U:
+ S->twidCoefRModifier = 1U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),4096);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len4096;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+ case 4096U:
+ S->twidCoefRModifier = 2U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),2048);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len2048;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+ case 2048U:
+ S->twidCoefRModifier = 4U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),1024);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len1024;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+ case 1024U:
+ S->twidCoefRModifier = 8U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),512);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len512;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+ case 512U:
+ S->twidCoefRModifier = 16U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),256);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len256;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+ case 256U:
+ S->twidCoefRModifier = 32U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),128);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len128;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+ case 128U:
+ S->twidCoefRModifier = 64U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),64);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len64;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+ case 64U:
+ S->twidCoefRModifier = 128U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),32);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len32;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+ case 32U:
+ S->twidCoefRModifier = 256U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q15(&(S->cfftInst),16);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q15_len16;
+ #endif
+ break;
+#endif
+ default:
+ /* Reporting argument error if rfftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ /* return the status of RFFT Init function */
+ return (status);
+}
+
+/**
+ @} end of RealFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c
new file mode 100644
index 0000000..80e83f6
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c
@@ -0,0 +1,237 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_init_q31.c
+ * Description: RFFT & RIFFT Q31 initialisation function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 RFFT/RIFFT.
+ @param[in,out] S points to an instance of the Q31 RFFT/RIFFT structure
+ @param[in] fftLenReal length of the FFT
+ @param[in] ifftFlagR flag that selects transform direction
+ - value = 0: forward transform
+ - value = 1: inverse transform
+ @param[in] bitReverseFlag flag that enables / disables bit reversal of output
+ - value = 0: disables bit reversal of output
+ - value = 1: enables bit reversal of output
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length
+
+ @par Details
+ The parameter fftLenReal specifies length of RFFT/RIFFT Process.
+ Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
+ @par
+ The parameter ifftFlagR controls whether a forward or inverse transform is computed.
+ Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
+ @par
+ The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.
+ Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+ @par
+ This function also initializes Twiddle factor table.
+*/
+
+arm_status arm_rfft_init_q31(
+ arm_rfft_instance_q31 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag)
+{
+ /* Initialise the default arm status */
+ arm_status status = ARM_MATH_SUCCESS;
+
+ /* Initialize the Real FFT length */
+ S->fftLenReal = (uint16_t) fftLenReal;
+
+ /* Initialize the Twiddle coefficientA pointer */
+ S->pTwiddleAReal = (q31_t *) realCoefAQ31;
+
+ /* Initialize the Twiddle coefficientB pointer */
+ S->pTwiddleBReal = (q31_t *) realCoefBQ31;
+
+ /* Initialize the Flag for selection of RFFT or RIFFT */
+ S->ifftFlagR = (uint8_t) ifftFlagR;
+
+ /* Initialize the Flag for calculation Bit reversal or not */
+ S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+ /* Initialization of coef modifier depending on the FFT length */
+ switch (S->fftLenReal)
+ {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+ case 8192U:
+
+
+ S->twidCoefRModifier = 1U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),4096);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len4096;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+ case 4096U:
+ S->twidCoefRModifier = 2U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),2048);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len2048;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+ case 2048U:
+ S->twidCoefRModifier = 4U;
+
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),1024);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len1024;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+ case 1024U:
+ S->twidCoefRModifier = 8U;
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),512);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len512;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+ case 512U:
+ S->twidCoefRModifier = 16U;
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),256);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len256;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+ case 256U:
+ S->twidCoefRModifier = 32U;
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),128);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len128;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+ case 128U:
+ S->twidCoefRModifier = 64U;
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),64);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len64;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+ case 64U:
+ S->twidCoefRModifier = 128U;
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),32);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len32;
+ #endif
+ break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+ case 32U:
+ S->twidCoefRModifier = 256U;
+ #if defined(ARM_MATH_MVEI)
+ status=arm_cfft_init_q31(&(S->cfftInst),16);
+ if (status != ARM_MATH_SUCCESS)
+ {
+ return(status);
+ }
+ #else
+ S->pCfft = &arm_cfft_sR_q31_len16;
+ #endif
+ break;
+#endif
+ default:
+ /* Reporting argument error if rfftSize is not valid value */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ break;
+ }
+
+ /* return the status of RFFT Init function */
+ return (status);
+}
+
+/**
+ @} end of RealFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c
new file mode 100644
index 0000000..8f19e8d
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c
@@ -0,0 +1,592 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_q15.c
+ * Description: RFFT & RIFFT Q15 process function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+ * Internal functions prototypes
+ * -------------------------------------------------------------------- */
+
+void arm_split_rfft_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pATable,
+ const q15_t * pBTable,
+ q15_t * pDst,
+ uint32_t modifier);
+
+void arm_split_rifft_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pATable,
+ const q15_t * pBTable,
+ q15_t * pDst,
+ uint32_t modifier);
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 RFFT/RIFFT.
+ @param[in] S points to an instance of the Q15 RFFT/RIFFT structure
+ @param[in] pSrc points to input buffer (Source buffer is modified by this function.)
+ @param[out] pDst points to output buffer
+ @return none
+
+ @par Input an output formats
+ Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+ Hence the output format is different for different RFFT sizes.
+ The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
+ @par
+ \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"
+ @par
+ \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"
+ @par
+ If the input buffer is of length N, the output buffer must have length 2*N.
+ The input buffer is modified by this function.
+ */
+
+void arm_rfft_q15(
+ const arm_rfft_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst)
+{
+#if defined(ARM_MATH_MVEI)
+ const arm_cfft_instance_q15 *S_CFFT = &(S->cfftInst);
+#else
+ const arm_cfft_instance_q15 *S_CFFT = S->pCfft;
+#endif
+ uint32_t L2 = S->fftLenReal >> 1U;
+ uint32_t i;
+
+ /* Calculation of RIFFT of input */
+ if (S->ifftFlagR == 1U)
+ {
+ /* Real IFFT core process */
+ arm_split_rifft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+ /* Complex IFFT process */
+ arm_cfft_q15 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+
+ for(i = 0; i < S->fftLenReal; i++)
+ {
+ pDst[i] = pDst[i] << 1U;
+ }
+ }
+ else
+ {
+ /* Calculation of RFFT of input */
+
+ /* Complex FFT process */
+ arm_cfft_q15 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
+
+ /* Real FFT core process */
+ arm_split_rfft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+ }
+
+}
+
+/**
+ @} end of RealFFT group
+ */
+
+/**
+ @brief Core Real FFT process
+ @param[in] pSrc points to input buffer
+ @param[in] fftLen length of FFT
+ @param[in] pATable points to twiddle Coef A buffer
+ @param[in] pBTable points to twiddle Coef B buffer
+ @param[out] pDst points to output buffer
+ @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+
+ @par
+ The function implements a Real FFT
+ */
+
+#if defined(ARM_MATH_MVEI)
+void arm_split_rfft_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pATable,
+ const q15_t * pBTable,
+ q15_t * pDst,
+ uint32_t modifier)
+{
+ q15_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q15_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U - 14]; /* temp pointers for output buffer */
+ q15_t const *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U - 14]; /* temp pointers for input buffer */
+ q15_t const *pVecSrc1;
+ q15_t *pVecDst1;
+ q15x8x2_t vecIn, vecSum;
+ uint32_t blkCnt;
+ uint16x8_t vecStridesFwd, vecStridesBkwd;
+ q15x8_t vecInBkwd, vecCoefFwd0, vecCoefFwd1;
+
+ /*
+ * Init coefficient pointers
+ */
+ pCoefA = &pATable[modifier * 2U];
+ pCoefB = &pBTable[modifier * 2U];
+ /*
+ * scatter / gather offsets
+ * for ascending & descending addressing
+ */
+ vecStridesFwd = vidupq_u16((uint32_t)0, 2); // 0, 2, 4, 6, 8, 10, 12, 14
+ vecStridesBkwd = vddupq_u16(14, 2); // 14, 12, 10, 8, 6, 4, 2, 0
+ vecStridesFwd = vecStridesFwd * (uint16_t) modifier;
+
+ pVecSrc1 = (q15_t const *) pSrc1;
+ pVecDst1 = pDst1;
+
+ blkCnt = fftLen >> 3;
+ while (blkCnt > 0U)
+ {
+ vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefA, vecStridesFwd);
+ vecCoefFwd1 = vldrhq_gather_shifted_offset(&pCoefA[1], vecStridesFwd);
+ vecIn = vld2q(pVecSrc1);
+ pVecSrc1 += 16;
+ /*
+ * outR = *pSrc1 * CoefA1;
+ */
+ vecSum.val[0] = vrmulhq(vecIn.val[0], vecCoefFwd0);
+ /*
+ * outI = *pSrc1++ * CoefA2;
+ */
+ vecSum.val[1] = vrmulhq(vecIn.val[0], vecCoefFwd1);
+
+ vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outR -= (*pSrc1 + *pSrc2) * CoefA2;
+ */
+ vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd);
+ vecSum.val[0] = vqsubq(vecSum.val[0], vrmulhq(vecInBkwd, vecCoefFwd1));
+
+ vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outI += *pSrc1++ * CoefA1;
+ */
+ vecSum.val[1] = vqaddq(vecSum.val[1], vrmulhq(vecIn.val[1], vecCoefFwd0));
+
+ vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefB, vecStridesFwd);
+ /*
+ * outI -= *pSrc2-- * CoefB1;
+ */
+ vecSum.val[1] = vqsubq(vecSum.val[1], vrmulhq(vecInBkwd, vecCoefFwd0));
+
+ vecInBkwd = vldrhq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd);
+ /*
+ * outI -= *pSrc2 * CoefA2;
+ */
+ vecSum.val[1] = vqsubq(vecSum.val[1], vrmulhq(vecInBkwd, vecCoefFwd1));
+ /*
+ * outR += *pSrc2-- * CoefB1;
+ */
+ vecSum.val[0] = vqaddq(vecSum.val[0], vrmulhq(vecInBkwd, vecCoefFwd0));
+
+ vst2q(pVecDst1, vecSum);
+ pVecDst1 += 16;
+ /*
+ * write complex conjugate output
+ */
+ vecSum.val[1] = -vecSum.val[1];
+ vstrhq_scatter_shifted_offset(pDst2, vecStridesBkwd, vecSum.val[1]);
+ vstrhq_scatter_shifted_offset(&pDst2[-1], vecStridesBkwd, vecSum.val[0]);
+ /*
+ * update fwd and backwd offsets
+ */
+ vecStridesFwd = vecStridesFwd + (uint16_t)(modifier * 16U);
+ /* cannot use negative 16-bit offsets (would lead to positive 32-65K jump*/
+ //vecStridesBkwd = vecStridesBkwd - (uint16_t)16;
+ pSrc2 = pSrc2 - 16;
+ pDst2 = pDst2 - 16;
+
+ blkCnt--;
+ }
+
+ pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+ pDst[(2U * fftLen) + 1U] = 0;
+
+ pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+ pDst[1] = 0;
+}
+#else
+void arm_split_rfft_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pATable,
+ const q15_t * pBTable,
+ q15_t * pDst,
+ uint32_t modifier)
+{
+ uint32_t i; /* Loop Counter */
+ q31_t outR, outI; /* Temporary variables for output */
+ const q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q15_t *pSrc1, *pSrc2;
+#if defined (ARM_MATH_DSP)
+ q15_t *pD1, *pD2;
+#endif
+
+ /* Init coefficient pointers */
+ pCoefA = &pATable[modifier * 2];
+ pCoefB = &pBTable[modifier * 2];
+
+ pSrc1 = &pSrc[2];
+ pSrc2 = &pSrc[(2U * fftLen) - 2U];
+
+#if defined (ARM_MATH_DSP)
+
+ i = 1U;
+ pD1 = pDst + 2;
+ pD2 = pDst + (4U * fftLen) - 2;
+
+ for (i = fftLen - 1; i > 0; i--)
+ {
+ /*
+ outR = ( pSrc[2 * i] * pATable[2 * i]
+ - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ + pSrc[2 * n - 2 * i] * pBTable[2 * i]
+ + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ + pIn[2 * i] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i])
+ */
+
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+ outR = __SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA));
+#else
+ /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
+ outR = -(__SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA)));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* pSrc[2 * n - 2 * i] * pBTable[2 * i] + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+ outR = __SMLAD(read_q15x2 (pSrc2), read_q15x2((q15_t *) pCoefB), outR) >> 16U;
+
+ /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ outI = __SMUSDX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB));
+#else
+ outI = __SMUSDX(read_q15x2 ((q15_t *) pCoefB), read_q15x2_da (&pSrc2));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
+ outI = __SMLADX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), outI);
+
+ /* write output */
+ *pD1++ = (q15_t) outR;
+ *pD1++ = outI >> 16U;
+
+ /* write complex conjugate output */
+ pD2[0] = (q15_t) outR;
+ pD2[1] = -(outI >> 16U);
+ pD2 -= 2;
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (2U * modifier);
+ pCoefA = pCoefA + (2U * modifier);
+ }
+
+ pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1U;
+ pDst[2U * fftLen + 1U] = 0;
+
+ pDst[0] = (pSrc[0] + pSrc[1]) >> 1U;
+ pDst[1] = 0;
+
+#else
+
+ i = 1U;
+
+ while (i < fftLen)
+ {
+ /*
+ outR = ( pSrc[2 * i] * pATable[2 * i]
+ - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ + pSrc[2 * n - 2 * i] * pBTable[2 * i]
+ + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+ */
+
+ outR = *pSrc1 * *pCoefA;
+ outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
+ outR = outR + (*pSrc2 * *pCoefB);
+ outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16;
+
+ /*
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ + pIn[2 * i] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+ */
+
+ outI = *pSrc2 * *(pCoefB + 1);
+ outI = outI - (*(pSrc2 + 1) * *pCoefB);
+ outI = outI + (*(pSrc1 + 1) * *pCoefA);
+ outI = outI + (*pSrc1 * *(pCoefA + 1));
+
+ /* update input pointers */
+ pSrc1 += 2U;
+ pSrc2 -= 2U;
+
+ /* write output */
+ pDst[2U * i] = (q15_t) outR;
+ pDst[2U * i + 1U] = outI >> 16U;
+
+ /* write complex conjugate output */
+ pDst[(4U * fftLen) - (2U * i)] = (q15_t) outR;
+ pDst[((4U * fftLen) - (2U * i)) + 1U] = -(outI >> 16U);
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (2U * modifier);
+ pCoefA = pCoefA + (2U * modifier);
+
+ i++;
+ }
+
+ pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+ pDst[2U * fftLen + 1U] = 0;
+
+ pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+ pDst[1] = 0;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @brief Core Real IFFT process
+ @param[in] pSrc points to input buffer
+ @param[in] fftLen length of FFT
+ @param[in] pATable points to twiddle Coef A buffer
+ @param[in] pBTable points to twiddle Coef B buffer
+ @param[out] pDst points to output buffer
+ @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+
+ @par
+ The function implements a Real IFFT
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_split_rifft_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pATable,
+ const q15_t * pBTable,
+ q15_t * pDst,
+ uint32_t modifier)
+{
+ q15_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q15_t const *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U - 14U];
+ q15_t *pDst1 = &pDst[0];
+ q15_t const *pVecSrc1;
+ q15_t *pVecDst1;
+ q15x8x2_t vecIn, vecSum;
+ uint32_t blkCnt;
+ uint16x8_t vecStridesFwd, vecStridesBkwd;
+ q15x8_t vecInBkwd, vecCoefFwd0, vecCoefFwd1;
+
+ /*
+ * Init coefficient pointers
+ */
+ pCoefA = &pATable[0];
+ pCoefB = &pBTable[0];
+ /*
+ * scatter / gather offsets
+ * for ascending & descending addressing
+ */
+ vecStridesFwd = vidupq_u16((uint32_t)0, 2); // 0, 2, 4, 6, 8, 10, 12, 14
+ vecStridesBkwd = vddupq_u16(14, 2); // 14, 12, 10, 8, 6, 4, 2, 0
+ vecStridesFwd = vecStridesFwd * (uint16_t) modifier;
+
+
+ pVecSrc1 = (q15_t const *) pSrc1;
+ pVecDst1 = pDst1;
+
+ blkCnt = fftLen >> 3;
+ while (blkCnt > 0U)
+ {
+ vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefA, vecStridesFwd);
+ vecCoefFwd1 = vldrhq_gather_shifted_offset(&pCoefA[1], vecStridesFwd);
+ vecIn = vld2q(pVecSrc1);
+ pVecSrc1 += 16;
+ /*
+ * outR = *pSrc1 * CoefA1;
+ */
+ vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0);
+ /*
+ * outI = -(*pSrc1++) * CoefA2;
+ */
+ vecIn.val[0] = vnegq(vecIn.val[0]);
+ vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1);
+
+ vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outR += (*pSrc1 + *pSrc2) * CoefA2;
+ */
+ vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd);
+ vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1));
+
+ vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outI += *pSrc1++ * CoefA1;
+ */
+ vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0));
+
+ vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefB, vecStridesFwd);
+ /*
+ * outI -= *pSrc2-- * CoefB1;
+ */
+ vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0));
+
+ vecInBkwd = vldrhq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd);
+ /*
+ * outI += *pSrc2 * CoefA2;
+ */
+ vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1));
+ /*
+ * outR += *pSrc2-- * CoefB1;
+ */
+ vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0));
+
+ vst2q(pVecDst1, vecSum);
+ pVecDst1 += 16;
+ /*
+ * update fwd and backwd offsets
+ */
+ vecStridesFwd = vecStridesFwd + (uint16_t)(modifier * 16U);
+
+ /* cannot use negative 16-bit offsets (would lead to positive 32-65K jump*/
+ //vecStridesBkwd = vecStridesBkwd - (uint16_t)16;
+ pSrc2 = pSrc2 - 16;
+ blkCnt--;
+ }
+}
+#else
+void arm_split_rifft_q15(
+ q15_t * pSrc,
+ uint32_t fftLen,
+ const q15_t * pATable,
+ const q15_t * pBTable,
+ q15_t * pDst,
+ uint32_t modifier)
+{
+ uint32_t i; /* Loop Counter */
+ q31_t outR, outI; /* Temporary variables for output */
+ const q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q15_t *pSrc1, *pSrc2;
+ q15_t *pDst1 = &pDst[0];
+
+ pCoefA = &pATable[0];
+ pCoefB = &pBTable[0];
+
+ pSrc1 = &pSrc[0];
+ pSrc2 = &pSrc[2 * fftLen];
+
+ i = fftLen;
+ while (i > 0U)
+ {
+ /*
+ outR = ( pIn[2 * i] * pATable[2 * i]
+ + pIn[2 * i + 1] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ - pIn[2 * i] * pATable[2 * i + 1]
+ - pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+ */
+
+#if defined (ARM_MATH_DSP)
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ /* pIn[2 * n - 2 * i] * pBTable[2 * i] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+ outR = __SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB));
+#else
+ /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
+ outR = -(__SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB)));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + pIn[2 * n - 2 * i] * pBTable[2 * i] */
+ outR = __SMLAD(read_q15x2(pSrc1), read_q15x2 ((q15_t *) pCoefA), outR) >> 16U;
+
+ /* -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+ outI = __SMUADX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB));
+
+ /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ outI = __SMLSDX(read_q15x2 ((q15_t *) pCoefA), read_q15x2_ia (&pSrc1), -outI);
+#else
+ outI = __SMLSDX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), -outI);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* write output */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst1, __PKHBT(outR, (outI >> 16U), 16));
+#else
+ write_q15x2_ia (&pDst1, __PKHBT((outI >> 16U), outR, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ outR = *pSrc2 * *pCoefB;
+ outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
+ outR = outR + (*pSrc1 * *pCoefA);
+ outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16;
+
+ outI = *(pSrc1 + 1) * *pCoefA;
+ outI = outI - (*pSrc1 * *(pCoefA + 1));
+ outI = outI - (*pSrc2 * *(pCoefB + 1));
+ outI = outI - (*(pSrc2 + 1) * *(pCoefB));
+
+ /* update input pointers */
+ pSrc1 += 2U;
+ pSrc2 -= 2U;
+
+ /* write output */
+ *pDst1++ = (q15_t) outR;
+ *pDst1++ = (q15_t) (outI >> 16);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (2 * modifier);
+ pCoefA = pCoefA + (2 * modifier);
+
+ i--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c
new file mode 100644
index 0000000..bb11f1b
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c
@@ -0,0 +1,500 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_rfft_q31.c
+ * Description: FFT & RIFFT Q31 process function
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+ * Internal functions prototypes
+ * -------------------------------------------------------------------- */
+
+void arm_split_rfft_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pATable,
+ const q31_t * pBTable,
+ q31_t * pDst,
+ uint32_t modifier);
+
+void arm_split_rifft_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pATable,
+ const q31_t * pBTable,
+ q31_t * pDst,
+ uint32_t modifier);
+
+/**
+ @addtogroup RealFFT
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 RFFT/RIFFT.
+ @param[in] S points to an instance of the Q31 RFFT/RIFFT structure
+ @param[in] pSrc points to input buffer (Source buffer is modified by this function)
+ @param[out] pDst points to output buffer
+ @return none
+
+ @par Input an output formats
+ Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+ Hence the output format is different for different RFFT sizes.
+ The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
+ @par
+ \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"
+ @par
+ \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"
+ @par
+ If the input buffer is of length N, the output buffer must have length 2*N.
+ The input buffer is modified by this function.
+ */
+
+void arm_rfft_q31(
+ const arm_rfft_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst)
+{
+#if defined(ARM_MATH_MVEI)
+ const arm_cfft_instance_q31 *S_CFFT = &(S->cfftInst);
+#else
+ const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
+#endif
+ uint32_t L2 = S->fftLenReal >> 1U;
+ uint32_t i;
+
+ /* Calculation of RIFFT of input */
+ if (S->ifftFlagR == 1U)
+ {
+ /* Real IFFT core process */
+ arm_split_rifft_q31 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+ /* Complex IFFT process */
+ arm_cfft_q31 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+
+ for(i = 0; i < S->fftLenReal; i++)
+ {
+ pDst[i] = pDst[i] << 1U;
+ }
+ }
+ else
+ {
+ /* Calculation of RFFT of input */
+
+ /* Complex FFT process */
+ arm_cfft_q31 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
+
+ /* Real FFT core process */
+ arm_split_rfft_q31 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+ }
+
+}
+
+/**
+ @} end of RealFFT group
+ */
+
+/**
+ @brief Core Real FFT process
+ @param[in] pSrc points to input buffer
+ @param[in] fftLen length of FFT
+ @param[in] pATable points to twiddle Coef A buffer
+ @param[in] pBTable points to twiddle Coef B buffer
+ @param[out] pDst points to output buffer
+ @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_split_rfft_q31(
+ q31_t *pSrc,
+ uint32_t fftLen,
+ const q31_t *pATable,
+ const q31_t *pBTable,
+ q31_t *pDst,
+ uint32_t modifier)
+{
+ q31_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q31_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U]; /* temp pointers for output buffer */
+ q31_t const *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U]; /* temp pointers for input buffer */
+ q31_t const *pVecSrc1;
+ q31_t *pVecDst1;
+ q31x4x2_t vecIn, vecSum;
+ uint32_t blkCnt;
+ uint32x4_t vecStridesFwd, vecStridesBkwd;
+ q31x4_t vecInBkwd, vecCoefFwd0, vecCoefFwd1;
+
+ /*
+ * Init coefficient pointers
+ */
+ pCoefA = &pATable[modifier * 2U];
+ pCoefB = &pBTable[modifier * 2U];
+ /*
+ * scatter / gather offsets
+ * for ascending & descending addressing
+ */
+ vecStridesFwd = vidupq_u32((uint32_t)0, 2);
+ vecStridesBkwd = -vecStridesFwd;
+ vecStridesFwd = vecStridesFwd * modifier;
+
+ pVecSrc1 = (q31_t const *) pSrc1;
+ pVecDst1 = pDst1;
+
+ blkCnt = fftLen >> 2;
+ while (blkCnt > 0U)
+ {
+ vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefA, vecStridesFwd);
+ vecCoefFwd1 = vldrwq_gather_shifted_offset(&pCoefA[1], vecStridesFwd);
+ vecIn = vld2q(pVecSrc1);
+ pVecSrc1 += 8;
+ /*
+ * outR = *pSrc1 * CoefA1;
+ */
+ vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0);
+ /*
+ * outI = *pSrc1++ * CoefA2;
+ */
+ vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1);
+
+ vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outR -= (*pSrc1 + *pSrc2) * CoefA2;
+ */
+ vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd);
+ vecSum.val[0] = vqsubq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1));
+
+ vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outI += *pSrc1++ * CoefA1;
+ */
+ vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0));
+
+ vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefB, vecStridesFwd);
+ /*
+ * outI -= *pSrc2-- * CoefB1;
+ */
+ vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0));
+
+ vecInBkwd = vldrwq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd);
+ /*
+ * outI -= *pSrc2 * CoefA2;
+ */
+ vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1));
+ /*
+ * outR += *pSrc2-- * CoefB1;
+ */
+ vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0));
+
+ vst2q(pVecDst1, vecSum);
+ pVecDst1 += 8;
+ /*
+ * write complex conjugate output
+ */
+ vecSum.val[1] = -vecSum.val[1];
+ vstrwq_scatter_shifted_offset(pDst2, vecStridesBkwd, vecSum.val[1]);
+ vstrwq_scatter_shifted_offset(&pDst2[-1], vecStridesBkwd, vecSum.val[0]);
+ /*
+ * update fwd and backwd offsets
+ */
+ vecStridesFwd = vecStridesFwd + (modifier * 8U);
+ vecStridesBkwd = vecStridesBkwd - 8;
+
+ blkCnt--;
+ }
+
+ pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+ pDst[(2U * fftLen) + 1U] = 0;
+
+ pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+ pDst[1] = 0;
+}
+#else
+void arm_split_rfft_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pATable,
+ const q31_t * pBTable,
+ q31_t * pDst,
+ uint32_t modifier)
+{
+ uint32_t i; /* Loop Counter */
+ q31_t outR, outI; /* Temporary variables for output */
+ const q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
+ q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[4 * fftLen - 1];
+ q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[2 * fftLen - 1];
+
+ /* Init coefficient pointers */
+ pCoefA = &pATable[modifier * 2];
+ pCoefB = &pBTable[modifier * 2];
+
+ i = fftLen - 1U;
+
+ while (i > 0U)
+ {
+ /*
+ outR = ( pSrc[2 * i] * pATable[2 * i]
+ - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ + pSrc[2 * n - 2 * i] * pBTable[2 * i]
+ + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ + pIn[2 * i] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+ */
+
+ CoefA1 = *pCoefA++;
+ CoefA2 = *pCoefA;
+
+ /* outR = (pSrc[2 * i] * pATable[2 * i] */
+ mult_32x32_keep32_R (outR, *pIn1, CoefA1);
+
+ /* outI = pIn[2 * i] * pATable[2 * i + 1] */
+ mult_32x32_keep32_R (outI, *pIn1++, CoefA2);
+
+ /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+ multSub_32x32_keep32_R (outR, *pIn1, CoefA2);
+
+ /* (pIn[2 * i + 1] * pATable[2 * i] */
+ multAcc_32x32_keep32_R (outI, *pIn1++, CoefA1);
+
+ /* pSrc[2 * n - 2 * i] * pBTable[2 * i] */
+ multSub_32x32_keep32_R (outR, *pIn2, CoefA2);
+ CoefB1 = *pCoefB;
+
+ /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+ multSub_32x32_keep32_R (outI, *pIn2--, CoefB1);
+
+ /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+ multAcc_32x32_keep32_R (outR, *pIn2, CoefB1);
+
+ /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+ multSub_32x32_keep32_R (outI, *pIn2--, CoefA2);
+
+ /* write output */
+ *pOut1++ = outR;
+ *pOut1++ = outI;
+
+ /* write complex conjugate output */
+ *pOut2-- = -outI;
+ *pOut2-- = outR;
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (2 * modifier);
+ pCoefA = pCoefA + (2 * modifier - 1);
+
+ /* Decrement loop count */
+ i--;
+ }
+
+ pDst[2 * fftLen] = (pSrc[0] - pSrc[1]) >> 1U;
+ pDst[2 * fftLen + 1] = 0;
+
+ pDst[0] = (pSrc[0] + pSrc[1]) >> 1U;
+ pDst[1] = 0;
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @brief Core Real IFFT process
+ @param[in] pSrc points to input buffer
+ @param[in] fftLen length of FFT
+ @param[in] pATable points to twiddle Coef A buffer
+ @param[in] pBTable points to twiddle Coef B buffer
+ @param[out] pDst points to output buffer
+ @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEI)
+
+void arm_split_rifft_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pATable,
+ const q31_t * pBTable,
+ q31_t * pDst,
+ uint32_t modifier)
+{
+ q31_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q31_t const *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U];
+ q31_t const *pVecSrc1;
+ q31_t *pVecDst;
+ q31x4x2_t vecIn, vecSum;
+ uint32_t blkCnt;
+ uint32x4_t vecStridesFwd, vecStridesBkwd;
+ q31x4_t vecInBkwd, vecCoefFwd0, vecCoefFwd1;
+
+
+ /*
+ * Init coefficient pointers
+ */
+ pCoefA = &pATable[0];
+ pCoefB = &pBTable[0];
+ /*
+ * scatter / gather offsets
+ * for ascending & descending addressing
+ */
+ vecStridesFwd = vidupq_u32((uint32_t)0, 2);
+ vecStridesBkwd = -vecStridesFwd;
+ vecStridesFwd = vecStridesFwd * modifier;
+
+ pVecSrc1 = (q31_t const *) pSrc1;
+ pVecDst = pDst;
+
+ blkCnt = fftLen >> 2;
+ while (blkCnt > 0U)
+ {
+ vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefA, vecStridesFwd);
+ vecCoefFwd1 = vldrwq_gather_shifted_offset(&pCoefA[1], vecStridesFwd);
+ vecIn = vld2q(pVecSrc1);
+ pVecSrc1 += 8;
+ /*
+ * outR = *pSrc1 * CoefA1;
+ */
+ vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0);
+ /*
+ * outI = -(*pSrc1++) * CoefA2;
+ */
+ vecIn.val[0] = (-vecIn.val[0]);
+ vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1);
+
+ vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outR += (*pSrc1 + *pSrc2) * CoefA2;
+ */
+ vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd);
+ vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1));
+
+ vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd);
+ /*
+ * outI += *pSrc1++ * CoefA1;
+ */
+ vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0));
+
+ vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefB, vecStridesFwd);
+ /*
+ * outI -= *pSrc2-- * CoefB1;
+ */
+ vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0));
+
+ vecInBkwd = vldrwq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd);
+ /*
+ * outI += *pSrc2-- * CoefA2;;
+ */
+ vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1));
+ /*
+ * outR += *pSrc2-- * CoefB1;
+ */
+ vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0));
+
+ vst2q(pVecDst, vecSum);
+ pVecDst += 8;
+ /*
+ * update fwd and backwd offsets
+ */
+ vecStridesFwd = vecStridesFwd + (modifier * 8U);
+ vecStridesBkwd = vecStridesBkwd - 8;
+
+ blkCnt--;
+ }
+}
+#else
+void arm_split_rifft_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ const q31_t * pATable,
+ const q31_t * pBTable,
+ q31_t * pDst,
+ uint32_t modifier)
+{
+ q31_t outR, outI; /* Temporary variables for output */
+ const q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
+ q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
+ q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[2 * fftLen + 1];
+
+ pCoefA = &pATable[0];
+ pCoefB = &pBTable[0];
+
+ while (fftLen > 0U)
+ {
+ /*
+ outR = ( pIn[2 * i] * pATable[2 * i]
+ + pIn[2 * i + 1] * pATable[2 * i + 1]
+ + pIn[2 * n - 2 * i] * pBTable[2 * i]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+ outI = ( pIn[2 * i + 1] * pATable[2 * i]
+ - pIn[2 * i] * pATable[2 * i + 1]
+ - pIn[2 * n - 2 * i] * pBTable[2 * i + 1]
+ - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+ */
+
+ CoefA1 = *pCoefA++;
+ CoefA2 = *pCoefA;
+
+ /* outR = (pIn[2 * i] * pATable[2 * i] */
+ mult_32x32_keep32_R (outR, *pIn1, CoefA1);
+
+ /* - pIn[2 * i] * pATable[2 * i + 1] */
+ mult_32x32_keep32_R (outI, *pIn1++, -CoefA2);
+
+ /* pIn[2 * i + 1] * pATable[2 * i + 1] */
+ multAcc_32x32_keep32_R (outR, *pIn1, CoefA2);
+
+ /* pIn[2 * i + 1] * pATable[2 * i] */
+ multAcc_32x32_keep32_R (outI, *pIn1++, CoefA1);
+
+ /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
+ multAcc_32x32_keep32_R (outR, *pIn2, CoefA2);
+ CoefB1 = *pCoefB;
+
+ /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+ multSub_32x32_keep32_R (outI, *pIn2--, CoefB1);
+
+ /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+ multAcc_32x32_keep32_R (outR, *pIn2, CoefB1);
+
+ /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+ multAcc_32x32_keep32_R (outI, *pIn2--, CoefA2);
+
+ /* write output */
+ *pDst++ = outR;
+ *pDst++ = outI;
+
+ /* update coefficient pointer */
+ pCoefB = pCoefB + (modifier * 2);
+ pCoefA = pCoefA + (modifier * 2 - 1);
+
+ /* Decrement loop count */
+ fftLen--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
diff --git a/CMSIS/DSP/Source/configDsp.cmake b/CMSIS/DSP/Source/configDsp.cmake
new file mode 100644
index 0000000..32c11a0
--- /dev/null
+++ b/CMSIS/DSP/Source/configDsp.cmake
@@ -0,0 +1,37 @@
+function(configDsp project root)
+
+if (CONFIGTABLE)
+ # Public because initialization for FFT may be defined in client code
+ # and needs access to the table.
+ target_compile_definitions(${project} PUBLIC ARM_DSP_CONFIG_TABLES)
+endif()
+
+if (LOOPUNROLL)
+ target_compile_definitions(${project} PRIVATE ARM_MATH_LOOPUNROLL)
+endif()
+
+if (ROUNDING)
+ target_compile_definitions(${project} PRIVATE ARM_MATH_ROUNDING)
+endif()
+
+if (MATRIXCHECK)
+ target_compile_definitions(${project} PRIVATE ARM_MATH_MATRIX_CHECK)
+endif()
+
+if (AUTOVECTORIZE)
+ target_compile_definitions(${project} PRIVATE ARM_MATH_AUTOVECTORIZE)
+endif()
+
+if (NEON OR NEONEXPERIMENTAL)
+ target_include_directories(${project} PRIVATE "${root}/CMSIS/DSP/ComputeLibrary/Include")
+endif()
+
+if (FLOAT16)
+ target_compile_definitions(${project} PRIVATE ARM_MATH_FLOAT16)
+endif()
+
+if (HELIUM OR MVEF OR SUPPORT)
+ target_include_directories(${project} PRIVATE "${root}/CMSIS/DSP/PrivateInclude")
+endif()
+
+endfunction()
diff --git a/CMSIS/DSP/Source/fft.cmake b/CMSIS/DSP/Source/fft.cmake
new file mode 100644
index 0000000..2356c2b
--- /dev/null
+++ b/CMSIS/DSP/Source/fft.cmake
@@ -0,0 +1,672 @@
+function(fft PROJECT)
+#######################################
+#
+# CFFT F32
+#
+
+
+if (CONFIGTABLE AND CFFT_F32_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_16)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_32)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_64)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_128)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_256)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_512)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_1024)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_2048)
+endif()
+endif()
+
+if (CONFIGTABLE AND CFFT_F32_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+if (HELIUM OR MVEF)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
+else()
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_4096)
+endif()
+endif()
+
+
+#######################################
+#
+# CFFT F64
+#
+
+
+if (CONFIGTABLE AND CFFT_F64_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_16)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_128)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_256)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_512)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_1024)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_2048)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_4096)
+endif()
+
+#######################################
+#
+# CFFT Q31
+#
+
+if (CONFIGTABLE AND CFFT_Q31_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q31_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
+endif()
+
+#######################################
+#
+# CFFT Q15
+#
+
+if (CONFIGTABLE AND CFFT_Q15_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
+endif()
+
+if (CONFIGTABLE AND CFFT_Q15_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
+endif()
+
+#######################################
+#
+# RFFT FAST F64
+#
+
+if (CONFIGTABLE AND RFFT_FAST_F64_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048)
+endif()
+
+#######################################
+#
+# RFFT FAST F32
+#
+
+if (CONFIGTABLE AND RFFT_FAST_F32_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F32_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048)
+endif()
+
+#######################################
+#
+# RFFT F32
+#
+
+if (CONFIGTABLE AND RFFT_F32_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND RFFT_F32_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+#######################################
+#
+# RFFT Q31
+#
+
+if (CONFIGTABLE AND RFFT_Q31_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q31_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
+endif()
+
+#######################################
+#
+# RFFT FAST Q15
+#
+
+if (CONFIGTABLE AND RFFT_Q15_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_16)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_64)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_256)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
+endif()
+
+if (CONFIGTABLE AND RFFT_Q15_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
+endif()
+
+#######################################
+#
+# DCT4 F32
+#
+
+if (CONFIGTABLE AND DCT4_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_F32_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
+endif()
+
+#######################################
+#
+# DCT4 Q31
+#
+
+if (CONFIGTABLE AND DCT4_Q31_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_Q31_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_Q31_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_Q31_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
+endif()
+
+#######################################
+#
+# DCT4 Q15
+#
+
+if (CONFIGTABLE AND DCT4_Q15_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_128)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_Q15_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_512)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_Q15_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_2048)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
+endif()
+
+if (CONFIGTABLE AND DCT4_Q15_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_8192)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
+
+ # For cfft_radix4_init
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
+endif()
+
+endfunction()
\ No newline at end of file
diff --git a/CMSIS/DSP/Source/interpol.cmake b/CMSIS/DSP/Source/interpol.cmake
new file mode 100644
index 0000000..2538d91
--- /dev/null
+++ b/CMSIS/DSP/Source/interpol.cmake
@@ -0,0 +1,51 @@
+function(interpol PROJECT)
+
+if (CONFIGTABLE AND ARM_COS_F32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_F32)
+endif()
+
+if (CONFIGTABLE AND ARM_COS_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q31)
+endif()
+
+if (CONFIGTABLE AND ARM_COS_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q15)
+endif()
+
+if (CONFIGTABLE AND ARM_SIN_F32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_F32)
+endif()
+
+if (CONFIGTABLE AND ARM_SIN_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q31)
+endif()
+
+if (CONFIGTABLE AND ARM_SIN_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q15)
+endif()
+
+if (CONFIGTABLE AND ARM_SIN_COS_F32)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_F32)
+endif()
+
+if (CONFIGTABLE AND ARM_SIN_COS_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q31)
+endif()
+
+if (CONFIGTABLE AND ARM_LMS_NORM_Q31)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_RECIP_Q31)
+endif()
+
+if (CONFIGTABLE AND ARM_LMS_NORM_Q15)
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_RECIP_Q15)
+endif()
+
+if (CONFIGTABLE AND ARM_CMPLX_MAG_Q31 AND (MVEI OR HELIUM))
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_FAST_SQRT_Q31_MVE)
+endif()
+
+if (CONFIGTABLE AND ARM_CMPLX_MAG_Q15 AND (MVEI OR HELIUM))
+ target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_FAST_SQRT_Q15_MVE)
+endif()
+
+endfunction()
\ No newline at end of file
diff --git a/cmsis.gni b/cmsis.gni
index c30d46d..42830b3 100644
--- a/cmsis.gni
+++ b/cmsis.gni
@@ -26,7 +26,26 @@
# OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
# ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+CMSIS_DSP_SOURCE = [
+ "//third_party/cmsis/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/CommonTables/CommonTables.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/FastMathFunctions/FastMathFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/StatisticsFunctions/StatisticsFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/SVMFunctions/SVMFunctions.c",
+ "//third_party/cmsis/CMSIS/DSP/Source/TransformFunctions/TransformFunctions.c",
+
+ # "//third_party/cmsis/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c",
+]
+
CMSIS_INCLUDE_DIRS = [
"//third_party/cmsis/CMSIS/Core/Include",
"//third_party/cmsis/CMSIS/RTOS2/Include",
+ "//third_party/cmsis/CMSIS/DSP/Include",
+ "//third_party/cmsis/CMSIS/DSP/PrivateInclude",
]