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audio: Prebake the resampler's kaiser table instead of doing it at runtime.
This commit is contained in:
parent
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162
build-scripts/gen_audio_resampler_filter.c
Normal file
162
build-scripts/gen_audio_resampler_filter.c
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@ -0,0 +1,162 @@
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/*
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Simple DirectMedia Layer
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Copyright (C) 1997-2022 Sam Lantinga <slouken@libsdl.org>
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This software is provided 'as-is', without any express or implied
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warranty. In no event will the authors be held liable for any damages
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arising from the use of this software.
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Permission is granted to anyone to use this software for any purpose,
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including commercial applications, and to alter it and redistribute it
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freely, subject to the following restrictions:
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1. The origin of this software must not be misrepresented; you must not
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claim that you wrote the original software. If you use this software
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in a product, an acknowledgment in the product documentation would be
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appreciated but is not required.
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2. Altered source versions must be plainly marked as such, and must not be
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misrepresented as being the original software.
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3. This notice may not be removed or altered from any source distribution.
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*/
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/*
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Built with:
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gcc -o genfilter build-scripts/gen_audio_resampler_filter.c -lm && ./genfilter > src/audio/SDL_audio_resampler_filter.h
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*/
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/*
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SDL's resampler uses a "bandlimited interpolation" algorithm:
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https://ccrma.stanford.edu/~jos/resample/
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This code pre-generates the kaiser tables so we don't have to do this at
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run time, at a cost of about 20 kilobytes of static data in SDL. This code
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used to be part of SDL itself and generated the tables on the first use,
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but that was expensive to produce on platforms without floating point
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hardware.
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*/
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#include <stdio.h>
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#include <math.h>
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#define RESAMPLER_ZERO_CROSSINGS 5
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#define RESAMPLER_BITS_PER_SAMPLE 16
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#define RESAMPLER_SAMPLES_PER_ZERO_CROSSING (1 << ((RESAMPLER_BITS_PER_SAMPLE / 2) + 1))
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#define RESAMPLER_FILTER_SIZE ((RESAMPLER_SAMPLES_PER_ZERO_CROSSING * RESAMPLER_ZERO_CROSSINGS) + 1)
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/* This is a "modified" bessel function, so you can't use POSIX j0() */
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static double
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bessel(const double x)
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{
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const double xdiv2 = x / 2.0;
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double i0 = 1.0f;
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double f = 1.0f;
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int i = 1;
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while (1) {
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const double diff = pow(xdiv2, i * 2) / pow(f, 2);
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if (diff < 1.0e-21f) {
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break;
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}
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i0 += diff;
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i++;
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f *= (double) i;
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}
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return i0;
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}
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/* build kaiser table with cardinal sine applied to it, and array of differences between elements. */
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static void
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kaiser_and_sinc(float *table, float *diffs, const int tablelen, const double beta)
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{
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const int lenm1 = tablelen - 1;
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const int lenm1div2 = lenm1 / 2;
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int i;
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table[0] = 1.0f;
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for (i = 1; i < tablelen; i++) {
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const double kaiser = bessel(beta * sqrt(1.0 - pow(((i - lenm1) / 2.0) / lenm1div2, 2.0))) / bessel(beta);
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table[tablelen - i] = (float) kaiser;
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}
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for (i = 1; i < tablelen; i++) {
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const float x = (((float) i) / ((float) RESAMPLER_SAMPLES_PER_ZERO_CROSSING)) * ((float) M_PI);
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table[i] *= sinf(x) / x;
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diffs[i - 1] = table[i] - table[i - 1];
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}
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diffs[lenm1] = 0.0f;
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}
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static float ResamplerFilter[RESAMPLER_FILTER_SIZE];
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static float ResamplerFilterDifference[RESAMPLER_FILTER_SIZE];
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static void
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PrepareResampleFilter(void)
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{
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/* if dB > 50, beta=(0.1102 * (dB - 8.7)), according to Matlab. */
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const double dB = 80.0;
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const double beta = 0.1102 * (dB - 8.7);
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kaiser_and_sinc(ResamplerFilter, ResamplerFilterDifference, RESAMPLER_FILTER_SIZE, beta);
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}
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int main(void)
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{
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int i;
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PrepareResampleFilter();
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printf(
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"/*\n"
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" Simple DirectMedia Layer\n"
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" Copyright (C) 1997-2022 Sam Lantinga <slouken@libsdl.org>\n"
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"\n"
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" This software is provided 'as-is', without any express or implied\n"
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" warranty. In no event will the authors be held liable for any damages\n"
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" arising from the use of this software.\n"
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"\n"
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" Permission is granted to anyone to use this software for any purpose,\n"
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" including commercial applications, and to alter it and redistribute it\n"
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" freely, subject to the following restrictions:\n"
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"\n"
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" 1. The origin of this software must not be misrepresented; you must not\n"
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" claim that you wrote the original software. If you use this software\n"
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" in a product, an acknowledgment in the product documentation would be\n"
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" appreciated but is not required.\n"
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" 2. Altered source versions must be plainly marked as such, and must not be\n"
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" misrepresented as being the original software.\n"
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" 3. This notice may not be removed or altered from any source distribution.\n"
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"*/\n"
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"\n"
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"/* DO NOT EDIT, THIS FILE WAS GENERATED BY build-scripts/gen_audio_resampler_filter.c */\n"
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"\n"
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"#define RESAMPLER_ZERO_CROSSINGS %d\n"
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"#define RESAMPLER_BITS_PER_SAMPLE %d\n"
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"#define RESAMPLER_SAMPLES_PER_ZERO_CROSSING (1 << ((RESAMPLER_BITS_PER_SAMPLE / 2) + 1))\n"
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"#define RESAMPLER_FILTER_SIZE ((RESAMPLER_SAMPLES_PER_ZERO_CROSSING * RESAMPLER_ZERO_CROSSINGS) + 1)\n"
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"\n", RESAMPLER_ZERO_CROSSINGS, RESAMPLER_BITS_PER_SAMPLE
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);
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printf("static const float ResamplerFilter[RESAMPLER_FILTER_SIZE] = {\n");
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printf(" %ff", ResamplerFilter[0]);
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for (i = 0; i < RESAMPLER_FILTER_SIZE-1; i++) {
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printf("%s%ff", ((i % 6) == 5) ? ",\n " : ", ", ResamplerFilter[i+1]);
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}
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printf("\n};\n\n");
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printf("static const float ResamplerFilterDifference[RESAMPLER_FILTER_SIZE] = {\n");
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printf(" %ff", ResamplerFilterDifference[0]);
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for (i = 0; i < RESAMPLER_FILTER_SIZE-1; i++) {
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printf("%s%ff", ((i % 6) == 5) ? ",\n " : ", ", ResamplerFilterDifference[i+1]);
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}
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printf("\n};\n\n");
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printf("/* vi: set ts=4 sw=4 expandtab: */\n\n");
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return 0;
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}
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/* vi: set ts=4 sw=4 expandtab: */
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@ -1649,8 +1649,6 @@ SDL_AudioQuit(void)
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#ifdef HAVE_LIBSAMPLERATE_H
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UnloadLibSampleRate();
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#endif
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SDL_FreeResampleFilter();
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}
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#define NUM_FORMATS 10
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@ -70,11 +70,6 @@ extern SDL_AudioFilter SDL_Convert_F32_to_S16;
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extern SDL_AudioFilter SDL_Convert_F32_to_U16;
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extern SDL_AudioFilter SDL_Convert_F32_to_S32;
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/* You need to call SDL_PrepareResampleFilter() before using the internal resampler.
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SDL_AudioQuit() calls SDL_FreeResamplerFilter(), you should never call it yourself. */
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extern int SDL_PrepareResampleFilter(void);
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extern void SDL_FreeResampleFilter(void);
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#endif /* SDL_audio_c_h_ */
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/* vi: set ts=4 sw=4 expandtab: */
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890
src/audio/SDL_audio_resampler_filter.h
Normal file
890
src/audio/SDL_audio_resampler_filter.h
Normal file
@ -0,0 +1,890 @@
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/*
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Simple DirectMedia Layer
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Copyright (C) 1997-2022 Sam Lantinga <slouken@libsdl.org>
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This software is provided 'as-is', without any express or implied
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warranty. In no event will the authors be held liable for any damages
|
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arising from the use of this software.
|
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|
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Permission is granted to anyone to use this software for any purpose,
|
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including commercial applications, and to alter it and redistribute it
|
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freely, subject to the following restrictions:
|
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|
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1. The origin of this software must not be misrepresented; you must not
|
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claim that you wrote the original software. If you use this software
|
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in a product, an acknowledgment in the product documentation would be
|
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appreciated but is not required.
|
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2. Altered source versions must be plainly marked as such, and must not be
|
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misrepresented as being the original software.
|
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3. This notice may not be removed or altered from any source distribution.
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*/
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/* DO NOT EDIT, THIS FILE WAS GENERATED BY build-scripts/gen_audio_resampler_filter.c */
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#define RESAMPLER_ZERO_CROSSINGS 5
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#define RESAMPLER_BITS_PER_SAMPLE 16
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#define RESAMPLER_SAMPLES_PER_ZERO_CROSSING (1 << ((RESAMPLER_BITS_PER_SAMPLE / 2) + 1))
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#define RESAMPLER_FILTER_SIZE ((RESAMPLER_SAMPLES_PER_ZERO_CROSSING * RESAMPLER_ZERO_CROSSINGS) + 1)
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static const float ResamplerFilter[RESAMPLER_FILTER_SIZE] = {
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1.000000f, 0.999994f, 0.999974f, 0.999941f, 0.999895f, 0.999834f,
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0.999760f, 0.999672f, 0.999571f, 0.999456f, 0.999327f, 0.999185f,
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0.999029f, 0.998859f, 0.998676f, 0.998479f, 0.998269f, 0.998044f,
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0.997807f, 0.997555f, 0.997290f, 0.997012f, 0.996720f, 0.996414f,
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0.996094f, 0.995762f, 0.995415f, 0.995055f, 0.994682f, 0.994295f,
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0.993894f, 0.993480f, 0.993052f, 0.992611f, 0.992157f, 0.991689f,
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0.991207f, 0.990713f, 0.990204f, 0.989683f, 0.989148f, 0.988599f,
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0.988037f, 0.987462f, 0.986874f, 0.986272f, 0.985657f, 0.985028f,
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0.984387f, 0.983732f, 0.983064f, 0.982382f, 0.981688f, 0.980980f,
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||||
0.980259f, 0.979525f, 0.978778f, 0.978018f, 0.977245f, 0.976458f,
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||||
0.975659f, 0.974847f, 0.974021f, 0.973183f, 0.972332f, 0.971468f,
|
||||
0.970591f, 0.969701f, 0.968798f, 0.967882f, 0.966954f, 0.966013f,
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||||
0.965059f, 0.964092f, 0.963113f, 0.962120f, 0.961116f, 0.960098f,
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||||
0.959068f, 0.958026f, 0.956971f, 0.955903f, 0.954823f, 0.953731f,
|
||||
0.952626f, 0.951509f, 0.950379f, 0.949237f, 0.948083f, 0.946917f,
|
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0.945738f, 0.944547f, 0.943344f, 0.942128f, 0.940901f, 0.939661f,
|
||||
0.938410f, 0.937146f, 0.935871f, 0.934583f, 0.933284f, 0.931973f,
|
||||
0.930650f, 0.929315f, 0.927968f, 0.926610f, 0.925240f, 0.923858f,
|
||||
0.922465f, 0.921060f, 0.919644f, 0.918216f, 0.916776f, 0.915325f,
|
||||
0.913863f, 0.912390f, 0.910905f, 0.909408f, 0.907901f, 0.906382f,
|
||||
0.904853f, 0.903312f, 0.901760f, 0.900197f, 0.898623f, 0.897038f,
|
||||
0.895442f, 0.893835f, 0.892218f, 0.890590f, 0.888951f, 0.887301f,
|
||||
0.885641f, 0.883970f, 0.882288f, 0.880596f, 0.878894f, 0.877181f,
|
||||
0.875457f, 0.873724f, 0.871980f, 0.870226f, 0.868461f, 0.866687f,
|
||||
0.864902f, 0.863107f, 0.861303f, 0.859488f, 0.857664f, 0.855829f,
|
||||
0.853985f, 0.852131f, 0.850267f, 0.848394f, 0.846511f, 0.844618f,
|
||||
0.842716f, 0.840805f, 0.838884f, 0.836953f, 0.835014f, 0.833065f,
|
||||
0.831107f, 0.829139f, 0.827163f, 0.825177f, 0.823183f, 0.821179f,
|
||||
0.819167f, 0.817146f, 0.815116f, 0.813077f, 0.811029f, 0.808973f,
|
||||
0.806909f, 0.804835f, 0.802754f, 0.800664f, 0.798565f, 0.796458f,
|
||||
0.794343f, 0.792220f, 0.790088f, 0.787949f, 0.785801f, 0.783645f,
|
||||
0.781482f, 0.779310f, 0.777131f, 0.774944f, 0.772750f, 0.770547f,
|
||||
0.768337f, 0.766120f, 0.763895f, 0.761662f, 0.759423f, 0.757176f,
|
||||
0.754921f, 0.752660f, 0.750391f, 0.748115f, 0.745833f, 0.743543f,
|
||||
0.741246f, 0.738943f, 0.736633f, 0.734316f, 0.731992f, 0.729662f,
|
||||
0.727325f, 0.724982f, 0.722632f, 0.720276f, 0.717914f, 0.715545f,
|
||||
0.713171f, 0.710790f, 0.708403f, 0.706010f, 0.703611f, 0.701206f,
|
||||
0.698795f, 0.696379f, 0.693957f, 0.691529f, 0.689096f, 0.686657f,
|
||||
0.684213f, 0.681763f, 0.679308f, 0.676847f, 0.674382f, 0.671911f,
|
||||
0.669436f, 0.666955f, 0.664469f, 0.661978f, 0.659483f, 0.656983f,
|
||||
0.654477f, 0.651968f, 0.649454f, 0.646935f, 0.644412f, 0.641884f,
|
||||
0.639352f, 0.636816f, 0.634275f, 0.631731f, 0.629182f, 0.626629f,
|
||||
0.624072f, 0.621512f, 0.618947f, 0.616379f, 0.613807f, 0.611232f,
|
||||
0.608652f, 0.606070f, 0.603484f, 0.600894f, 0.598301f, 0.595705f,
|
||||
0.593106f, 0.590503f, 0.587898f, 0.585289f, 0.582677f, 0.580063f,
|
||||
0.577446f, 0.574826f, 0.572203f, 0.569578f, 0.566950f, 0.564319f,
|
||||
0.561686f, 0.559051f, 0.556414f, 0.553774f, 0.551132f, 0.548488f,
|
||||
0.545841f, 0.543193f, 0.540543f, 0.537891f, 0.535237f, 0.532582f,
|
||||
0.529924f, 0.527265f, 0.524605f, 0.521943f, 0.519280f, 0.516615f,
|
||||
0.513949f, 0.511281f, 0.508613f, 0.505943f, 0.503273f, 0.500601f,
|
||||
0.497928f, 0.495255f, 0.492581f, 0.489906f, 0.487230f, 0.484554f,
|
||||
0.481877f, 0.479199f, 0.476522f, 0.473843f, 0.471165f, 0.468486f,
|
||||
0.465807f, 0.463128f, 0.460449f, 0.457770f, 0.455091f, 0.452412f,
|
||||
0.449733f, 0.447055f, 0.444377f, 0.441699f, 0.439022f, 0.436345f,
|
||||
0.433668f, 0.430993f, 0.428318f, 0.425643f, 0.422970f, 0.420297f,
|
||||
0.417625f, 0.414955f, 0.412285f, 0.409616f, 0.406949f, 0.404282f,
|
||||
0.401617f, 0.398954f, 0.396291f, 0.393631f, 0.390971f, 0.388314f,
|
||||
0.385657f, 0.383003f, 0.380350f, 0.377699f, 0.375050f, 0.372403f,
|
||||
0.369758f, 0.367115f, 0.364474f, 0.361835f, 0.359198f, 0.356564f,
|
||||
0.353932f, 0.351302f, 0.348675f, 0.346050f, 0.343428f, 0.340808f,
|
||||
0.338191f, 0.335577f, 0.332965f, 0.330357f, 0.327751f, 0.325148f,
|
||||
0.322548f, 0.319951f, 0.317358f, 0.314767f, 0.312180f, 0.309596f,
|
||||
0.307015f, 0.304437f, 0.301863f, 0.299293f, 0.296726f, 0.294162f,
|
||||
0.291603f, 0.289047f, 0.286494f, 0.283946f, 0.281401f, 0.278860f,
|
||||
0.276323f, 0.273791f, 0.271262f, 0.268737f, 0.266217f, 0.263700f,
|
||||
0.261188f, 0.258680f, 0.256177f, 0.253678f, 0.251183f, 0.248693f,
|
||||
0.246208f, 0.243727f, 0.241251f, 0.238779f, 0.236312f, 0.233850f,
|
||||
0.231393f, 0.228941f, 0.226494f, 0.224051f, 0.221614f, 0.219182f,
|
||||
0.216755f, 0.214333f, 0.211916f, 0.209505f, 0.207099f, 0.204698f,
|
||||
0.202302f, 0.199913f, 0.197528f, 0.195149f, 0.192776f, 0.190408f,
|
||||
0.188046f, 0.185690f, 0.183339f, 0.180995f, 0.178656f, 0.176323f,
|
||||
0.173995f, 0.171674f, 0.169359f, 0.167050f, 0.164747f, 0.162450f,
|
||||
0.160159f, 0.157875f, 0.155597f, 0.153325f, 0.151059f, 0.148800f,
|
||||
0.146547f, 0.144300f, 0.142060f, 0.139827f, 0.137600f, 0.135380f,
|
||||
0.133166f, 0.130959f, 0.128759f, 0.126566f, 0.124379f, 0.122199f,
|
||||
0.120026f, 0.117860f, 0.115701f, 0.113549f, 0.111404f, 0.109265f,
|
||||
0.107134f, 0.105010f, 0.102893f, 0.100784f, 0.098681f, 0.096586f,
|
||||
0.094498f, 0.092417f, 0.090344f, 0.088278f, 0.086219f, 0.084168f,
|
||||
0.082124f, 0.080088f, 0.078059f, 0.076038f, 0.074025f, 0.072019f,
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|
||||
0.000522f, 0.000516f, 0.000510f, 0.000504f, 0.000498f, 0.000492f,
|
||||
0.000486f, 0.000480f, 0.000474f, 0.000468f, 0.000462f, 0.000456f,
|
||||
0.000450f, 0.000444f, 0.000439f, 0.000433f, 0.000427f, 0.000422f,
|
||||
0.000416f, 0.000410f, 0.000405f, 0.000399f, 0.000394f, 0.000389f,
|
||||
0.000383f, 0.000378f, 0.000373f, 0.000367f, 0.000362f, 0.000357f,
|
||||
0.000352f, 0.000347f, 0.000341f, 0.000336f, 0.000331f, 0.000326f,
|
||||
0.000321f, 0.000317f, 0.000312f, 0.000307f, 0.000302f, 0.000297f,
|
||||
0.000293f, 0.000288f, 0.000283f, 0.000279f, 0.000274f, 0.000270f,
|
||||
0.000265f, 0.000261f, 0.000256f, 0.000252f, 0.000248f, 0.000243f,
|
||||
0.000239f, 0.000235f, 0.000231f, 0.000227f, 0.000223f, 0.000218f,
|
||||
0.000214f, 0.000210f, 0.000207f, 0.000203f, 0.000199f, 0.000195f,
|
||||
0.000191f, 0.000187f, 0.000184f, 0.000180f, 0.000176f, 0.000173f,
|
||||
0.000169f, 0.000166f, 0.000162f, 0.000159f, 0.000155f, 0.000152f,
|
||||
0.000149f, 0.000145f, 0.000142f, 0.000139f, 0.000136f, 0.000132f,
|
||||
0.000129f, 0.000126f, 0.000123f, 0.000120f, 0.000117f, 0.000114f,
|
||||
0.000111f, 0.000109f, 0.000106f, 0.000103f, 0.000100f, 0.000097f,
|
||||
0.000095f, 0.000092f, 0.000090f, 0.000087f, 0.000084f, 0.000082f,
|
||||
0.000079f, 0.000077f, 0.000075f, 0.000072f, 0.000070f, 0.000068f,
|
||||
0.000065f, 0.000063f, 0.000061f, 0.000059f, 0.000057f, 0.000054f,
|
||||
0.000052f, 0.000050f, 0.000048f, 0.000046f, 0.000044f, 0.000042f,
|
||||
0.000041f, 0.000039f, 0.000037f, 0.000035f, 0.000033f, 0.000032f,
|
||||
0.000030f, 0.000028f, 0.000027f, 0.000025f, 0.000023f, 0.000022f,
|
||||
0.000020f, 0.000019f, 0.000017f, 0.000016f, 0.000015f, 0.000013f,
|
||||
0.000012f, 0.000011f, 0.000009f, 0.000008f, 0.000007f, 0.000006f,
|
||||
0.000004f, 0.000003f, 0.000002f, 0.000001f, -0.000000f
|
||||
};
|
||||
|
||||
static const float ResamplerFilterDifference[RESAMPLER_FILTER_SIZE] = {
|
||||
-0.000006f, -0.000019f, -0.000033f, -0.000047f, -0.000060f, -0.000074f,
|
||||
-0.000088f, -0.000101f, -0.000115f, -0.000129f, -0.000142f, -0.000156f,
|
||||
-0.000170f, -0.000183f, -0.000197f, -0.000211f, -0.000224f, -0.000238f,
|
||||
-0.000251f, -0.000265f, -0.000279f, -0.000292f, -0.000306f, -0.000319f,
|
||||
-0.000333f, -0.000346f, -0.000360f, -0.000374f, -0.000387f, -0.000401f,
|
||||
-0.000414f, -0.000428f, -0.000441f, -0.000454f, -0.000468f, -0.000481f,
|
||||
-0.000495f, -0.000508f, -0.000522f, -0.000535f, -0.000548f, -0.000562f,
|
||||
-0.000575f, -0.000589f, -0.000602f, -0.000615f, -0.000628f, -0.000642f,
|
||||
-0.000655f, -0.000668f, -0.000681f, -0.000695f, -0.000708f, -0.000721f,
|
||||
-0.000734f, -0.000747f, -0.000760f, -0.000773f, -0.000786f, -0.000799f,
|
||||
-0.000812f, -0.000825f, -0.000838f, -0.000851f, -0.000864f, -0.000877f,
|
||||
-0.000890f, -0.000903f, -0.000916f, -0.000929f, -0.000941f, -0.000954f,
|
||||
-0.000967f, -0.000979f, -0.000992f, -0.001005f, -0.001017f, -0.001030f,
|
||||
-0.001042f, -0.001055f, -0.001068f, -0.001080f, -0.001092f, -0.001105f,
|
||||
-0.001117f, -0.001130f, -0.001142f, -0.001154f, -0.001166f, -0.001179f,
|
||||
-0.001191f, -0.001203f, -0.001215f, -0.001228f, -0.001239f, -0.001251f,
|
||||
-0.001264f, -0.001275f, -0.001287f, -0.001299f, -0.001311f, -0.001323f,
|
||||
-0.001335f, -0.001347f, -0.001358f, -0.001370f, -0.001382f, -0.001393f,
|
||||
-0.001405f, -0.001417f, -0.001428f, -0.001439f, -0.001451f, -0.001462f,
|
||||
-0.001474f, -0.001485f, -0.001496f, -0.001507f, -0.001519f, -0.001530f,
|
||||
-0.001541f, -0.001552f, -0.001563f, -0.001574f, -0.001585f, -0.001596f,
|
||||
-0.001607f, -0.001617f, -0.001628f, -0.001639f, -0.001650f, -0.001660f,
|
||||
-0.001671f, -0.001682f, -0.001692f, -0.001702f, -0.001713f, -0.001723f,
|
||||
-0.001734f, -0.001744f, -0.001754f, -0.001764f, -0.001774f, -0.001785f,
|
||||
-0.001795f, -0.001805f, -0.001815f, -0.001824f, -0.001834f, -0.001844f,
|
||||
-0.001854f, -0.001864f, -0.001873f, -0.001883f, -0.001893f, -0.001902f,
|
||||
-0.001912f, -0.001921f, -0.001930f, -0.001940f, -0.001949f, -0.001958f,
|
||||
-0.001967f, -0.001976f, -0.001986f, -0.001994f, -0.002003f, -0.002012f,
|
||||
-0.002021f, -0.002030f, -0.002039f, -0.002047f, -0.002056f, -0.002065f,
|
||||
-0.002073f, -0.002082f, -0.002090f, -0.002099f, -0.002107f, -0.002115f,
|
||||
-0.002123f, -0.002131f, -0.002140f, -0.002148f, -0.002156f, -0.002164f,
|
||||
-0.002171f, -0.002179f, -0.002187f, -0.002195f, -0.002202f, -0.002210f,
|
||||
-0.002218f, -0.002225f, -0.002232f, -0.002240f, -0.002247f, -0.002254f,
|
||||
-0.002262f, -0.002269f, -0.002276f, -0.002283f, -0.002290f, -0.002297f,
|
||||
-0.002303f, -0.002310f, -0.002317f, -0.002324f, -0.002330f, -0.002337f,
|
||||
-0.002343f, -0.002350f, -0.002356f, -0.002362f, -0.002369f, -0.002375f,
|
||||
-0.002381f, -0.002387f, -0.002393f, -0.002399f, -0.002405f, -0.002411f,
|
||||
-0.002416f, -0.002422f, -0.002428f, -0.002433f, -0.002439f, -0.002444f,
|
||||
-0.002450f, -0.002455f, -0.002460f, -0.002465f, -0.002471f, -0.002476f,
|
||||
-0.002481f, -0.002486f, -0.002491f, -0.002496f, -0.002500f, -0.002505f,
|
||||
-0.002510f, -0.002514f, -0.002519f, -0.002523f, -0.002528f, -0.002532f,
|
||||
-0.002536f, -0.002540f, -0.002545f, -0.002549f, -0.002553f, -0.002557f,
|
||||
-0.002561f, -0.002564f, -0.002568f, -0.002572f, -0.002576f, -0.002579f,
|
||||
-0.002583f, -0.002586f, -0.002590f, -0.002593f, -0.002596f, -0.002599f,
|
||||
-0.002603f, -0.002606f, -0.002609f, -0.002612f, -0.002614f, -0.002617f,
|
||||
-0.002620f, -0.002623f, -0.002625f, -0.002628f, -0.002630f, -0.002633f,
|
||||
-0.002635f, -0.002638f, -0.002640f, -0.002642f, -0.002644f, -0.002646f,
|
||||
-0.002648f, -0.002650f, -0.002652f, -0.002654f, -0.002656f, -0.002657f,
|
||||
-0.002659f, -0.002660f, -0.002662f, -0.002663f, -0.002665f, -0.002666f,
|
||||
-0.002667f, -0.002669f, -0.002670f, -0.002671f, -0.002672f, -0.002673f,
|
||||
-0.002673f, -0.002674f, -0.002675f, -0.002676f, -0.002676f, -0.002677f,
|
||||
-0.002677f, -0.002678f, -0.002678f, -0.002679f, -0.002679f, -0.002679f,
|
||||
-0.002679f, -0.002679f, -0.002679f, -0.002679f, -0.002679f, -0.002679f,
|
||||
-0.002678f, -0.002678f, -0.002678f, -0.002677f, -0.002677f, -0.002676f,
|
||||
-0.002676f, -0.002675f, -0.002674f, -0.002674f, -0.002673f, -0.002672f,
|
||||
-0.002671f, -0.002670f, -0.002669f, -0.002667f, -0.002666f, -0.002665f,
|
||||
-0.002664f, -0.002662f, -0.002661f, -0.002659f, -0.002658f, -0.002656f,
|
||||
-0.002654f, -0.002653f, -0.002651f, -0.002649f, -0.002647f, -0.002645f,
|
||||
-0.002643f, -0.002641f, -0.002639f, -0.002637f, -0.002634f, -0.002632f,
|
||||
-0.002630f, -0.002627f, -0.002625f, -0.002622f, -0.002620f, -0.002617f,
|
||||
-0.002614f, -0.002612f, -0.002609f, -0.002606f, -0.002603f, -0.002600f,
|
||||
-0.002597f, -0.002594f, -0.002591f, -0.002587f, -0.002584f, -0.002581f,
|
||||
-0.002577f, -0.002574f, -0.002571f, -0.002567f, -0.002563f, -0.002560f,
|
||||
-0.002556f, -0.002552f, -0.002548f, -0.002545f, -0.002541f, -0.002537f,
|
||||
-0.002533f, -0.002529f, -0.002525f, -0.002521f, -0.002516f, -0.002512f,
|
||||
-0.002508f, -0.002503f, -0.002499f, -0.002495f, -0.002490f, -0.002486f,
|
||||
-0.002481f, -0.002476f, -0.002472f, -0.002467f, -0.002462f, -0.002457f,
|
||||
-0.002452f, -0.002447f, -0.002442f, -0.002437f, -0.002432f, -0.002427f,
|
||||
-0.002422f, -0.002417f, -0.002411f, -0.002406f, -0.002401f, -0.002395f,
|
||||
-0.002390f, -0.002384f, -0.002379f, -0.002373f, -0.002368f, -0.002362f,
|
||||
-0.002356f, -0.002351f, -0.002345f, -0.002339f, -0.002333f, -0.002327f,
|
||||
-0.002321f, -0.002315f, -0.002309f, -0.002303f, -0.002297f, -0.002291f,
|
||||
-0.002285f, -0.002278f, -0.002272f, -0.002266f, -0.002259f, -0.002253f,
|
||||
-0.002246f, -0.002240f, -0.002233f, -0.002227f, -0.002220f, -0.002214f,
|
||||
-0.002207f, -0.002200f, -0.002193f, -0.002187f, -0.002180f, -0.002173f,
|
||||
-0.002166f, -0.002159f, -0.002152f, -0.002145f, -0.002138f, -0.002131f,
|
||||
-0.002124f, -0.002117f, -0.002110f, -0.002103f, -0.002095f, -0.002088f,
|
||||
-0.002081f, -0.002073f, -0.002066f, -0.002059f, -0.002051f, -0.002044f,
|
||||
-0.002036f, -0.002029f, -0.002021f, -0.002014f, -0.002006f, -0.001998f,
|
||||
-0.001991f, -0.001983f, -0.001975f, -0.001967f, -0.001960f, -0.001952f,
|
||||
-0.001944f, -0.001936f, -0.001928f, -0.001920f, -0.001913f, -0.001905f,
|
||||
-0.001897f, -0.001889f, -0.001881f, -0.001872f, -0.001864f, -0.001856f,
|
||||
-0.001848f, -0.001840f, -0.001832f, -0.001824f, -0.001815f, -0.001807f,
|
||||
-0.001799f, -0.001791f, -0.001782f, -0.001774f, -0.001766f, -0.001757f,
|
||||
-0.001749f, -0.001740f, -0.001732f, -0.001723f, -0.001715f, -0.001706f,
|
||||
-0.001698f, -0.001689f, -0.001681f, -0.001672f, -0.001664f, -0.001655f,
|
||||
-0.001647f, -0.001638f, -0.001629f, -0.001621f, -0.001612f, -0.001603f,
|
||||
-0.001594f, -0.001586f, -0.001577f, -0.001568f, -0.001560f, -0.001551f,
|
||||
-0.001542f, -0.001533f, -0.001524f, -0.001515f, -0.001507f, -0.001498f,
|
||||
-0.001489f, -0.001480f, -0.001471f, -0.001462f, -0.001453f, -0.001444f,
|
||||
-0.001436f, -0.001427f, -0.001418f, -0.001409f, -0.001400f, -0.001391f,
|
||||
-0.001382f, -0.001373f, -0.001364f, -0.001355f, -0.001346f, -0.001337f,
|
||||
-0.001328f, -0.001319f, -0.001310f, -0.001301f, -0.001292f, -0.001283f,
|
||||
-0.001274f, -0.001265f, -0.001255f, -0.001246f, -0.001237f, -0.001228f,
|
||||
-0.001219f, -0.001210f, -0.001201f, -0.001192f, -0.001183f, -0.001174f,
|
||||
-0.001165f, -0.001156f, -0.001147f, -0.001138f, -0.001128f, -0.001119f,
|
||||
-0.001110f, -0.001101f, -0.001092f, -0.001083f, -0.001074f, -0.001065f,
|
||||
-0.001056f, -0.001047f, -0.001038f, -0.001029f, -0.001020f, -0.001011f,
|
||||
-0.001002f, -0.000993f, -0.000984f, -0.000975f, -0.000965f, -0.000956f,
|
||||
-0.000947f, -0.000938f, -0.000929f, -0.000920f, -0.000911f, -0.000902f,
|
||||
-0.000894f, -0.000884f, -0.000876f, -0.000867f, -0.000858f, -0.000849f,
|
||||
-0.000840f, -0.000831f, -0.000822f, -0.000813f, -0.000804f, -0.000795f,
|
||||
-0.000787f, -0.000778f, -0.000769f, -0.000760f, -0.000751f, -0.000742f,
|
||||
-0.000734f, -0.000725f, -0.000716f, -0.000707f, -0.000698f, -0.000690f,
|
||||
-0.000681f, -0.000672f, -0.000664f, -0.000655f, -0.000646f, -0.000638f,
|
||||
-0.000629f, -0.000620f, -0.000612f, -0.000603f, -0.000595f, -0.000586f,
|
||||
-0.000578f, -0.000569f, -0.000560f, -0.000552f, -0.000544f, -0.000535f,
|
||||
-0.000527f, -0.000518f, -0.000510f, -0.000501f, -0.000493f, -0.000485f,
|
||||
-0.000476f, -0.000468f, -0.000460f, -0.000451f, -0.000443f, -0.000435f,
|
||||
-0.000427f, -0.000419f, -0.000410f, -0.000402f, -0.000394f, -0.000386f,
|
||||
-0.000378f, -0.000370f, -0.000362f, -0.000354f, -0.000346f, -0.000338f,
|
||||
-0.000330f, -0.000322f, -0.000314f, -0.000306f, -0.000298f, -0.000290f,
|
||||
-0.000283f, -0.000275f, -0.000267f, -0.000259f, -0.000251f, -0.000244f,
|
||||
-0.000236f, -0.000228f, -0.000221f, -0.000213f, -0.000206f, -0.000198f,
|
||||
-0.000191f, -0.000183f, -0.000176f, -0.000168f, -0.000161f, -0.000153f,
|
||||
-0.000146f, -0.000139f, -0.000131f, -0.000124f, -0.000117f, -0.000110f,
|
||||
-0.000102f, -0.000095f, -0.000088f, -0.000081f, -0.000074f, -0.000067f,
|
||||
-0.000060f, -0.000053f, -0.000046f, -0.000039f, -0.000032f, -0.000025f,
|
||||
-0.000018f, -0.000011f, -0.000004f, 0.000002f, 0.000009f, 0.000016f,
|
||||
0.000022f, 0.000029f, 0.000036f, 0.000042f, 0.000049f, 0.000055f,
|
||||
0.000062f, 0.000068f, 0.000075f, 0.000081f, 0.000088f, 0.000094f,
|
||||
0.000100f, 0.000107f, 0.000113f, 0.000119f, 0.000125f, 0.000131f,
|
||||
0.000138f, 0.000144f, 0.000150f, 0.000156f, 0.000162f, 0.000168f,
|
||||
0.000174f, 0.000179f, 0.000185f, 0.000191f, 0.000197f, 0.000203f,
|
||||
0.000208f, 0.000214f, 0.000220f, 0.000225f, 0.000231f, 0.000237f,
|
||||
0.000242f, 0.000248f, 0.000253f, 0.000258f, 0.000264f, 0.000269f,
|
||||
0.000275f, 0.000280f, 0.000285f, 0.000290f, 0.000295f, 0.000301f,
|
||||
0.000306f, 0.000311f, 0.000316f, 0.000321f, 0.000326f, 0.000331f,
|
||||
0.000336f, 0.000341f, 0.000345f, 0.000350f, 0.000355f, 0.000360f,
|
||||
0.000364f, 0.000369f, 0.000374f, 0.000378f, 0.000383f, 0.000387f,
|
||||
0.000392f, 0.000396f, 0.000401f, 0.000405f, 0.000410f, 0.000414f,
|
||||
0.000418f, 0.000422f, 0.000427f, 0.000431f, 0.000435f, 0.000439f,
|
||||
0.000443f, 0.000447f, 0.000451f, 0.000455f, 0.000459f, 0.000463f,
|
||||
0.000467f, 0.000470f, 0.000474f, 0.000478f, 0.000482f, 0.000485f,
|
||||
0.000489f, 0.000493f, 0.000496f, 0.000500f, 0.000503f, 0.000507f,
|
||||
0.000510f, 0.000513f, 0.000517f, 0.000520f, 0.000523f, 0.000527f,
|
||||
0.000530f, 0.000533f, 0.000536f, 0.000539f, 0.000542f, 0.000545f,
|
||||
0.000548f, 0.000551f, 0.000554f, 0.000557f, 0.000560f, 0.000563f,
|
||||
0.000565f, 0.000568f, 0.000571f, 0.000574f, 0.000576f, 0.000579f,
|
||||
0.000581f, 0.000584f, 0.000586f, 0.000589f, 0.000591f, 0.000594f,
|
||||
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0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f,
|
||||
0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f,
|
||||
0.000052f, 0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f,
|
||||
0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f,
|
||||
0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f,
|
||||
0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f, 0.000053f,
|
||||
0.000053f, 0.000053f, 0.000052f, 0.000052f, 0.000052f, 0.000052f,
|
||||
0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f,
|
||||
0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f, 0.000052f,
|
||||
0.000052f, 0.000052f, 0.000051f, 0.000051f, 0.000051f, 0.000051f,
|
||||
0.000051f, 0.000051f, 0.000051f, 0.000051f, 0.000051f, 0.000051f,
|
||||
0.000051f, 0.000050f, 0.000050f, 0.000050f, 0.000050f, 0.000050f,
|
||||
0.000050f, 0.000050f, 0.000050f, 0.000049f, 0.000049f, 0.000049f,
|
||||
0.000049f, 0.000049f, 0.000049f, 0.000049f, 0.000049f, 0.000048f,
|
||||
0.000048f, 0.000048f, 0.000048f, 0.000048f, 0.000048f, 0.000048f,
|
||||
0.000047f, 0.000047f, 0.000047f, 0.000047f, 0.000047f, 0.000047f,
|
||||
0.000047f, 0.000046f, 0.000046f, 0.000046f, 0.000046f, 0.000046f,
|
||||
0.000046f, 0.000045f, 0.000045f, 0.000045f, 0.000045f, 0.000045f,
|
||||
0.000044f, 0.000044f, 0.000044f, 0.000044f, 0.000044f, 0.000044f,
|
||||
0.000043f, 0.000043f, 0.000043f, 0.000043f, 0.000043f, 0.000042f,
|
||||
0.000042f, 0.000042f, 0.000042f, 0.000042f, 0.000041f, 0.000041f,
|
||||
0.000041f, 0.000041f, 0.000041f, 0.000040f, 0.000040f, 0.000040f,
|
||||
0.000040f, 0.000040f, 0.000039f, 0.000039f, 0.000039f, 0.000039f,
|
||||
0.000039f, 0.000038f, 0.000038f, 0.000038f, 0.000038f, 0.000038f,
|
||||
0.000037f, 0.000037f, 0.000037f, 0.000037f, 0.000037f, 0.000036f,
|
||||
0.000036f, 0.000036f, 0.000036f, 0.000035f, 0.000035f, 0.000035f,
|
||||
0.000035f, 0.000035f, 0.000034f, 0.000034f, 0.000034f, 0.000034f,
|
||||
0.000033f, 0.000033f, 0.000033f, 0.000033f, 0.000033f, 0.000032f,
|
||||
0.000032f, 0.000032f, 0.000032f, 0.000031f, 0.000031f, 0.000031f,
|
||||
0.000031f, 0.000031f, 0.000030f, 0.000030f, 0.000030f, 0.000030f,
|
||||
0.000029f, 0.000029f, 0.000029f, 0.000029f, 0.000028f, 0.000028f,
|
||||
0.000028f, 0.000028f, 0.000028f, 0.000027f, 0.000027f, 0.000027f,
|
||||
0.000027f, 0.000026f, 0.000026f, 0.000026f, 0.000026f, 0.000026f,
|
||||
0.000025f, 0.000025f, 0.000025f, 0.000025f, 0.000024f, 0.000024f,
|
||||
0.000024f, 0.000024f, 0.000023f, 0.000023f, 0.000023f, 0.000023f,
|
||||
0.000023f, 0.000022f, 0.000022f, 0.000022f, 0.000022f, 0.000021f,
|
||||
0.000021f, 0.000021f, 0.000021f, 0.000021f, 0.000020f, 0.000020f,
|
||||
0.000020f, 0.000020f, 0.000019f, 0.000019f, 0.000019f, 0.000019f,
|
||||
0.000019f, 0.000018f, 0.000018f, 0.000018f, 0.000018f, 0.000018f,
|
||||
0.000017f, 0.000017f, 0.000017f, 0.000017f, 0.000016f, 0.000016f,
|
||||
0.000016f, 0.000016f, 0.000016f, 0.000015f, 0.000015f, 0.000015f,
|
||||
0.000015f, 0.000015f, 0.000014f, 0.000014f, 0.000014f, 0.000014f,
|
||||
0.000014f, 0.000013f, 0.000013f, 0.000013f, 0.000013f, 0.000013f,
|
||||
0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000011f,
|
||||
0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f,
|
||||
0.000010f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f,
|
||||
0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f,
|
||||
0.000008f, 0.000008f, 0.000008f, 0.000007f, 0.000007f, 0.000007f,
|
||||
0.000007f, 0.000007f, 0.000007f, 0.000006f, 0.000006f, 0.000006f,
|
||||
0.000006f, 0.000006f, 0.000006f, 0.000005f, 0.000005f, 0.000005f,
|
||||
0.000005f, 0.000005f, 0.000005f, 0.000004f, 0.000004f, 0.000004f,
|
||||
0.000004f, 0.000004f, 0.000004f, 0.000003f, 0.000003f, 0.000003f,
|
||||
0.000003f, 0.000003f, 0.000003f, 0.000003f, 0.000002f, 0.000002f,
|
||||
0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f,
|
||||
0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f,
|
||||
0.000001f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, -0.000000f,
|
||||
-0.000000f, -0.000000f, -0.000000f, -0.000001f, -0.000001f, -0.000001f,
|
||||
-0.000001f, -0.000001f, -0.000001f, -0.000001f, -0.000001f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000003f, -0.000003f, -0.000003f,
|
||||
-0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f,
|
||||
-0.000003f, -0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f,
|
||||
-0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f,
|
||||
-0.000004f, -0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f,
|
||||
-0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f,
|
||||
-0.000005f, -0.000005f, -0.000005f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f, -0.000008f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f, -0.000007f,
|
||||
-0.000007f, -0.000007f, -0.000007f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f, -0.000006f,
|
||||
-0.000006f, -0.000006f, -0.000005f, -0.000005f, -0.000005f, -0.000005f,
|
||||
-0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f,
|
||||
-0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f,
|
||||
-0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f,
|
||||
-0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000005f, -0.000004f,
|
||||
-0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f,
|
||||
-0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f,
|
||||
-0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f,
|
||||
-0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f, -0.000004f,
|
||||
-0.000004f, -0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f,
|
||||
-0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f,
|
||||
-0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f,
|
||||
-0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f,
|
||||
-0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000003f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f,
|
||||
-0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f, -0.000002f,
|
||||
-0.000001f, -0.000001f, -0.000001f, -0.000001f, -0.000001f, -0.000001f,
|
||||
-0.000001f, -0.000001f, -0.000001f, -0.000001f, -0.000001f, -0.000001f,
|
||||
-0.000001f, -0.000001f, -0.000001f, -0.000001f, 0.000000f
|
||||
};
|
||||
|
||||
/* vi: set ts=4 sw=4 expandtab: */
|
||||
|
@ -704,97 +704,7 @@ SDL_Convert51To71(SDL_AudioCVT * cvt, SDL_AudioFormat format)
|
||||
/* SDL's resampler uses a "bandlimited interpolation" algorithm:
|
||||
https://ccrma.stanford.edu/~jos/resample/ */
|
||||
|
||||
#define RESAMPLER_ZERO_CROSSINGS 5
|
||||
#define RESAMPLER_BITS_PER_SAMPLE 16
|
||||
#define RESAMPLER_SAMPLES_PER_ZERO_CROSSING (1 << ((RESAMPLER_BITS_PER_SAMPLE / 2) + 1))
|
||||
#define RESAMPLER_FILTER_SIZE ((RESAMPLER_SAMPLES_PER_ZERO_CROSSING * RESAMPLER_ZERO_CROSSINGS) + 1)
|
||||
|
||||
/* This is a "modified" bessel function, so you can't use POSIX j0() */
|
||||
static double
|
||||
bessel(const double x)
|
||||
{
|
||||
const double xdiv2 = x / 2.0;
|
||||
double i0 = 1.0f;
|
||||
double f = 1.0f;
|
||||
int i = 1;
|
||||
|
||||
while (SDL_TRUE) {
|
||||
const double diff = SDL_pow(xdiv2, i * 2) / SDL_pow(f, 2);
|
||||
if (diff < 1.0e-21f) {
|
||||
break;
|
||||
}
|
||||
i0 += diff;
|
||||
i++;
|
||||
f *= (double) i;
|
||||
}
|
||||
|
||||
return i0;
|
||||
}
|
||||
|
||||
/* build kaiser table with cardinal sine applied to it, and array of differences between elements. */
|
||||
static void
|
||||
kaiser_and_sinc(float *table, float *diffs, const int tablelen, const double beta)
|
||||
{
|
||||
const int lenm1 = tablelen - 1;
|
||||
const int lenm1div2 = lenm1 / 2;
|
||||
int i;
|
||||
|
||||
table[0] = 1.0f;
|
||||
for (i = 1; i < tablelen; i++) {
|
||||
const double kaiser = bessel(beta * SDL_sqrt(1.0 - SDL_pow(((i - lenm1) / 2.0) / lenm1div2, 2.0))) / bessel(beta);
|
||||
table[tablelen - i] = (float) kaiser;
|
||||
}
|
||||
|
||||
for (i = 1; i < tablelen; i++) {
|
||||
const float x = (((float) i) / ((float) RESAMPLER_SAMPLES_PER_ZERO_CROSSING)) * ((float) M_PI);
|
||||
table[i] *= SDL_sinf(x) / x;
|
||||
diffs[i - 1] = table[i] - table[i - 1];
|
||||
}
|
||||
diffs[lenm1] = 0.0f;
|
||||
}
|
||||
|
||||
|
||||
static SDL_SpinLock ResampleFilterSpinlock = 0;
|
||||
static float *ResamplerFilter = NULL;
|
||||
static float *ResamplerFilterDifference = NULL;
|
||||
|
||||
int
|
||||
SDL_PrepareResampleFilter(void)
|
||||
{
|
||||
SDL_AtomicLock(&ResampleFilterSpinlock);
|
||||
if (!ResamplerFilter) {
|
||||
/* if dB > 50, beta=(0.1102 * (dB - 8.7)), according to Matlab. */
|
||||
const double dB = 80.0;
|
||||
const double beta = 0.1102 * (dB - 8.7);
|
||||
const size_t alloclen = RESAMPLER_FILTER_SIZE * sizeof (float);
|
||||
|
||||
ResamplerFilter = (float *) SDL_malloc(alloclen);
|
||||
if (!ResamplerFilter) {
|
||||
SDL_AtomicUnlock(&ResampleFilterSpinlock);
|
||||
return SDL_OutOfMemory();
|
||||
}
|
||||
|
||||
ResamplerFilterDifference = (float *) SDL_malloc(alloclen);
|
||||
if (!ResamplerFilterDifference) {
|
||||
SDL_free(ResamplerFilter);
|
||||
ResamplerFilter = NULL;
|
||||
SDL_AtomicUnlock(&ResampleFilterSpinlock);
|
||||
return SDL_OutOfMemory();
|
||||
}
|
||||
kaiser_and_sinc(ResamplerFilter, ResamplerFilterDifference, RESAMPLER_FILTER_SIZE, beta);
|
||||
}
|
||||
SDL_AtomicUnlock(&ResampleFilterSpinlock);
|
||||
return 0;
|
||||
}
|
||||
|
||||
void
|
||||
SDL_FreeResampleFilter(void)
|
||||
{
|
||||
SDL_free(ResamplerFilter);
|
||||
SDL_free(ResamplerFilterDifference);
|
||||
ResamplerFilter = NULL;
|
||||
ResamplerFilterDifference = NULL;
|
||||
}
|
||||
#include "SDL_audio_resampler_filter.h"
|
||||
|
||||
static int
|
||||
ResamplerPadding(const int inrate, const int outrate)
|
||||
@ -803,7 +713,7 @@ ResamplerPadding(const int inrate, const int outrate)
|
||||
return 0;
|
||||
}
|
||||
if (inrate > outrate) {
|
||||
return (int) SDL_ceil(((float) (RESAMPLER_SAMPLES_PER_ZERO_CROSSING * inrate) / ((float) outrate)));
|
||||
return (int) SDL_ceilf(((float) (RESAMPLER_SAMPLES_PER_ZERO_CROSSING * inrate) / ((float) outrate)));
|
||||
}
|
||||
return RESAMPLER_SAMPLES_PER_ZERO_CROSSING;
|
||||
}
|
||||
@ -1119,10 +1029,6 @@ SDL_BuildAudioResampleCVT(SDL_AudioCVT * cvt, const int dst_channels,
|
||||
return SDL_SetError("No conversion available for these rates");
|
||||
}
|
||||
|
||||
if (SDL_PrepareResampleFilter() < 0) {
|
||||
return -1;
|
||||
}
|
||||
|
||||
/* Update (cvt) with filter details... */
|
||||
if (SDL_AddAudioCVTFilter(cvt, filter) < 0) {
|
||||
return -1;
|
||||
@ -1743,13 +1649,6 @@ SDL_NewAudioStream(const SDL_AudioFormat src_format,
|
||||
return NULL;
|
||||
}
|
||||
|
||||
if (SDL_PrepareResampleFilter() < 0) {
|
||||
SDL_free(retval->resampler_state);
|
||||
retval->resampler_state = NULL;
|
||||
SDL_FreeAudioStream(retval);
|
||||
return NULL;
|
||||
}
|
||||
|
||||
retval->resampler_func = SDL_ResampleAudioStream;
|
||||
retval->reset_resampler_func = SDL_ResetAudioStreamResampler;
|
||||
retval->cleanup_resampler_func = SDL_CleanupAudioStreamResampler;
|
||||
|
Loading…
Reference in New Issue
Block a user