2002-10-28 00:34:08 +00:00
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/*
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* FFT/IFFT transforms
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2008-08-12 00:26:58 +00:00
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* Copyright (c) 2008 Loren Merritt
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2009-01-19 15:46:40 +00:00
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* Copyright (c) 2002 Fabrice Bellard
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2008-08-12 00:26:58 +00:00
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* Partly based on libdjbfft by D. J. Bernstein
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2002-10-28 00:34:08 +00:00
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*
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2006-10-07 15:30:46 +00:00
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* This file is part of FFmpeg.
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*
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* FFmpeg is free software; you can redistribute it and/or
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2002-10-28 00:34:08 +00:00
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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2006-10-07 15:30:46 +00:00
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* version 2.1 of the License, or (at your option) any later version.
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2002-10-28 00:34:08 +00:00
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*
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2006-10-07 15:30:46 +00:00
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* FFmpeg is distributed in the hope that it will be useful,
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2002-10-28 00:34:08 +00:00
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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2006-10-07 15:30:46 +00:00
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* License along with FFmpeg; if not, write to the Free Software
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2006-01-12 22:43:26 +00:00
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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2002-10-28 00:34:08 +00:00
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*/
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2003-03-06 11:32:04 +00:00
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/**
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2010-04-20 14:45:34 +00:00
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* @file
|
2003-03-06 11:32:04 +00:00
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* FFT/IFFT transforms.
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*/
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|
2010-03-09 17:39:19 +00:00
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|
#include <stdlib.h>
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|
|
|
#include <string.h>
|
2010-03-06 14:34:46 +00:00
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|
|
#include "libavutil/mathematics.h"
|
2017-07-05 05:33:22 +00:00
|
|
|
#include "libavutil/thread.h"
|
2010-03-06 14:34:46 +00:00
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|
|
#include "fft.h"
|
2011-03-26 15:20:30 +00:00
|
|
|
#include "fft-internal.h"
|
2002-10-28 00:34:08 +00:00
|
|
|
|
2024-01-24 09:12:57 +00:00
|
|
|
#if !FFT_FLOAT
|
2013-06-03 14:11:12 +00:00
|
|
|
#include "fft_table.h"
|
2024-01-24 09:12:57 +00:00
|
|
|
#else /* !FFT_FLOAT */
|
2013-06-03 14:11:12 +00:00
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|
|
2008-08-12 00:26:58 +00:00
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|
|
/* cos(2*pi*x/n) for 0<=x<=n/4, followed by its reverse */
|
2009-10-15 17:55:51 +00:00
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|
|
#if !CONFIG_HARDCODED_TABLES
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|
|
COSTABLE(16);
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COSTABLE(32);
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COSTABLE(64);
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COSTABLE(128);
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COSTABLE(256);
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COSTABLE(512);
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COSTABLE(1024);
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|
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COSTABLE(2048);
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COSTABLE(4096);
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COSTABLE(8192);
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COSTABLE(16384);
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|
COSTABLE(32768);
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|
COSTABLE(65536);
|
2016-03-03 23:31:45 +00:00
|
|
|
COSTABLE(131072);
|
2017-07-05 05:33:22 +00:00
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static av_cold void init_ff_cos_tabs(int index)
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|
|
|
{
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int i;
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|
int m = 1<<index;
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|
|
double freq = 2*M_PI/m;
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|
|
FFTSample *tab = FFT_NAME(ff_cos_tabs)[index];
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|
for(i=0; i<=m/4; i++)
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|
tab[i] = FIX15(cos(i*freq));
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|
for(i=1; i<m/4; i++)
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|
tab[m/2-i] = tab[i];
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|
|
}
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|
typedef struct CosTabsInitOnce {
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|
void (*func)(void);
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|
|
AVOnce control;
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|
|
} CosTabsInitOnce;
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|
#define INIT_FF_COS_TABS_FUNC(index, size) \
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|
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static av_cold void init_ff_cos_tabs_ ## size (void)\
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|
|
|
{ \
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|
|
|
init_ff_cos_tabs(index); \
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|
|
|
}
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|
|
|
|
|
|
INIT_FF_COS_TABS_FUNC(4, 16)
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|
INIT_FF_COS_TABS_FUNC(5, 32)
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|
|
|
INIT_FF_COS_TABS_FUNC(6, 64)
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|
|
|
INIT_FF_COS_TABS_FUNC(7, 128)
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|
INIT_FF_COS_TABS_FUNC(8, 256)
|
|
|
|
INIT_FF_COS_TABS_FUNC(9, 512)
|
|
|
|
INIT_FF_COS_TABS_FUNC(10, 1024)
|
|
|
|
INIT_FF_COS_TABS_FUNC(11, 2048)
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|
|
INIT_FF_COS_TABS_FUNC(12, 4096)
|
|
|
|
INIT_FF_COS_TABS_FUNC(13, 8192)
|
|
|
|
INIT_FF_COS_TABS_FUNC(14, 16384)
|
|
|
|
INIT_FF_COS_TABS_FUNC(15, 32768)
|
|
|
|
INIT_FF_COS_TABS_FUNC(16, 65536)
|
|
|
|
INIT_FF_COS_TABS_FUNC(17, 131072)
|
|
|
|
|
|
|
|
static CosTabsInitOnce cos_tabs_init_once[] = {
|
|
|
|
{ NULL },
|
|
|
|
{ NULL },
|
|
|
|
{ NULL },
|
|
|
|
{ NULL },
|
|
|
|
{ init_ff_cos_tabs_16, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_32, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_64, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_128, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_256, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_512, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_1024, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_2048, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_4096, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_8192, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_16384, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_32768, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_65536, AV_ONCE_INIT },
|
|
|
|
{ init_ff_cos_tabs_131072, AV_ONCE_INIT },
|
|
|
|
};
|
|
|
|
|
2022-05-23 03:23:35 +00:00
|
|
|
av_cold void ff_init_ff_cos_tabs(int index)
|
|
|
|
{
|
|
|
|
ff_thread_once(&cos_tabs_init_once[index].control, cos_tabs_init_once[index].func);
|
|
|
|
}
|
2009-10-14 21:41:24 +00:00
|
|
|
#endif
|
2011-03-26 15:20:30 +00:00
|
|
|
COSTABLE_CONST FFTSample * const FFT_NAME(ff_cos_tabs)[] = {
|
2009-11-04 17:30:23 +00:00
|
|
|
NULL, NULL, NULL, NULL,
|
2011-03-26 15:20:30 +00:00
|
|
|
FFT_NAME(ff_cos_16),
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|
|
|
FFT_NAME(ff_cos_32),
|
|
|
|
FFT_NAME(ff_cos_64),
|
|
|
|
FFT_NAME(ff_cos_128),
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|
|
|
FFT_NAME(ff_cos_256),
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|
|
|
FFT_NAME(ff_cos_512),
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|
|
|
FFT_NAME(ff_cos_1024),
|
|
|
|
FFT_NAME(ff_cos_2048),
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|
|
|
FFT_NAME(ff_cos_4096),
|
|
|
|
FFT_NAME(ff_cos_8192),
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|
|
|
FFT_NAME(ff_cos_16384),
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|
|
|
FFT_NAME(ff_cos_32768),
|
|
|
|
FFT_NAME(ff_cos_65536),
|
2016-03-03 23:31:45 +00:00
|
|
|
FFT_NAME(ff_cos_131072),
|
2008-08-12 00:26:58 +00:00
|
|
|
};
|
|
|
|
|
2024-01-24 09:12:57 +00:00
|
|
|
#endif /* FFT_FLOAT */
|
2013-06-03 14:11:12 +00:00
|
|
|
|
2013-04-20 19:51:11 +00:00
|
|
|
static void fft_permute_c(FFTContext *s, FFTComplex *z);
|
|
|
|
static void fft_calc_c(FFTContext *s, FFTComplex *z);
|
2011-01-25 00:29:43 +00:00
|
|
|
|
2008-08-12 00:26:58 +00:00
|
|
|
static int split_radix_permutation(int i, int n, int inverse)
|
|
|
|
{
|
|
|
|
int m;
|
|
|
|
if(n <= 2) return i&1;
|
|
|
|
m = n >> 1;
|
|
|
|
if(!(i&m)) return split_radix_permutation(i, m, inverse)*2;
|
|
|
|
m >>= 1;
|
|
|
|
if(inverse == !(i&m)) return split_radix_permutation(i, m, inverse)*4 + 1;
|
|
|
|
else return split_radix_permutation(i, m, inverse)*4 - 1;
|
|
|
|
}
|
|
|
|
|
2009-11-05 18:29:06 +00:00
|
|
|
|
2011-04-25 09:39:01 +00:00
|
|
|
static const int avx_tab[] = {
|
|
|
|
0, 4, 1, 5, 8, 12, 9, 13, 2, 6, 3, 7, 10, 14, 11, 15
|
|
|
|
};
|
|
|
|
|
|
|
|
static int is_second_half_of_fft32(int i, int n)
|
|
|
|
{
|
|
|
|
if (n <= 32)
|
|
|
|
return i >= 16;
|
|
|
|
else if (i < n/2)
|
|
|
|
return is_second_half_of_fft32(i, n/2);
|
|
|
|
else if (i < 3*n/4)
|
|
|
|
return is_second_half_of_fft32(i - n/2, n/4);
|
|
|
|
else
|
|
|
|
return is_second_half_of_fft32(i - 3*n/4, n/4);
|
|
|
|
}
|
|
|
|
|
|
|
|
static av_cold void fft_perm_avx(FFTContext *s)
|
|
|
|
{
|
|
|
|
int i;
|
|
|
|
int n = 1 << s->nbits;
|
|
|
|
|
|
|
|
for (i = 0; i < n; i += 16) {
|
|
|
|
int k;
|
|
|
|
if (is_second_half_of_fft32(i, n)) {
|
|
|
|
for (k = 0; k < 16; k++)
|
|
|
|
s->revtab[-split_radix_permutation(i + k, n, s->inverse) & (n - 1)] =
|
|
|
|
i + avx_tab[k];
|
|
|
|
|
|
|
|
} else {
|
|
|
|
for (k = 0; k < 16; k++) {
|
|
|
|
int j = i + k;
|
|
|
|
j = (j & ~7) | ((j >> 1) & 3) | ((j << 2) & 4);
|
|
|
|
s->revtab[-split_radix_permutation(i + k, n, s->inverse) & (n - 1)] = j;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2009-01-22 19:48:10 +00:00
|
|
|
av_cold int ff_fft_init(FFTContext *s, int nbits, int inverse)
|
2002-10-28 00:34:08 +00:00
|
|
|
{
|
2010-07-01 23:21:42 +00:00
|
|
|
int i, j, n;
|
2005-12-17 18:14:38 +00:00
|
|
|
|
2016-03-04 14:39:55 +00:00
|
|
|
s->revtab = NULL;
|
|
|
|
s->revtab32 = NULL;
|
|
|
|
|
2016-03-03 23:31:45 +00:00
|
|
|
if (nbits < 2 || nbits > 17)
|
2008-08-12 00:26:58 +00:00
|
|
|
goto fail;
|
2002-10-28 00:34:08 +00:00
|
|
|
s->nbits = nbits;
|
|
|
|
n = 1 << nbits;
|
|
|
|
|
2016-03-04 14:39:55 +00:00
|
|
|
if (nbits <= 16) {
|
|
|
|
s->revtab = av_malloc(n * sizeof(uint16_t));
|
|
|
|
if (!s->revtab)
|
|
|
|
goto fail;
|
|
|
|
} else {
|
|
|
|
s->revtab32 = av_malloc(n * sizeof(uint32_t));
|
|
|
|
if (!s->revtab32)
|
|
|
|
goto fail;
|
|
|
|
}
|
2010-07-01 23:21:42 +00:00
|
|
|
s->tmp_buf = av_malloc(n * sizeof(FFTComplex));
|
|
|
|
if (!s->tmp_buf)
|
|
|
|
goto fail;
|
2002-10-28 00:34:08 +00:00
|
|
|
s->inverse = inverse;
|
2011-02-12 11:48:16 +00:00
|
|
|
s->fft_permutation = FF_FFT_PERM_DEFAULT;
|
2002-10-28 00:34:08 +00:00
|
|
|
|
2013-04-20 19:51:11 +00:00
|
|
|
s->fft_permute = fft_permute_c;
|
|
|
|
s->fft_calc = fft_calc_c;
|
2010-02-11 23:40:45 +00:00
|
|
|
#if CONFIG_MDCT
|
2009-02-19 00:06:17 +00:00
|
|
|
s->imdct_calc = ff_imdct_calc_c;
|
|
|
|
s->imdct_half = ff_imdct_half_c;
|
2009-09-11 02:24:19 +00:00
|
|
|
s->mdct_calc = ff_mdct_calc_c;
|
2010-02-11 23:40:45 +00:00
|
|
|
#endif
|
2002-10-28 00:34:08 +00:00
|
|
|
|
2014-01-06 13:48:18 +00:00
|
|
|
#if FFT_FLOAT
|
2014-03-26 14:20:42 +00:00
|
|
|
if (ARCH_AARCH64) ff_fft_init_aarch64(s);
|
2009-09-15 21:14:14 +00:00
|
|
|
if (ARCH_ARM) ff_fft_init_arm(s);
|
2013-04-14 12:47:30 +00:00
|
|
|
if (ARCH_PPC) ff_fft_init_ppc(s);
|
2012-10-05 17:54:10 +00:00
|
|
|
if (ARCH_X86) ff_fft_init_x86(s);
|
2012-09-04 16:43:34 +00:00
|
|
|
if (HAVE_MIPSFPU) ff_fft_init_mips(s);
|
2010-07-01 23:21:46 +00:00
|
|
|
for(j=4; j<=nbits; j++) {
|
|
|
|
ff_init_ff_cos_tabs(j);
|
|
|
|
}
|
2024-01-24 09:12:57 +00:00
|
|
|
#else /* FFT_FLOAT */
|
|
|
|
ff_fft_lut_init();
|
|
|
|
#endif
|
2013-06-03 14:11:12 +00:00
|
|
|
|
2011-04-25 09:39:01 +00:00
|
|
|
|
2022-05-23 03:23:35 +00:00
|
|
|
if (ARCH_X86 && FFT_FLOAT && s->fft_permutation == FF_FFT_PERM_AVX) {
|
2011-04-25 09:39:01 +00:00
|
|
|
fft_perm_avx(s);
|
|
|
|
} else {
|
2018-12-26 08:09:49 +00:00
|
|
|
#define PROCESS_FFT_PERM_SWAP_LSBS(num) do {\
|
|
|
|
for(i = 0; i < n; i++) {\
|
|
|
|
int k;\
|
|
|
|
j = i;\
|
|
|
|
j = (j & ~3) | ((j >> 1) & 1) | ((j << 1) & 2);\
|
|
|
|
k = -split_radix_permutation(i, n, s->inverse) & (n - 1);\
|
|
|
|
s->revtab##num[k] = j;\
|
|
|
|
} \
|
|
|
|
} while(0);
|
|
|
|
|
|
|
|
#define PROCESS_FFT_PERM_DEFAULT(num) do {\
|
|
|
|
for(i = 0; i < n; i++) {\
|
|
|
|
int k;\
|
|
|
|
j = i;\
|
|
|
|
k = -split_radix_permutation(i, n, s->inverse) & (n - 1);\
|
|
|
|
s->revtab##num[k] = j;\
|
|
|
|
} \
|
|
|
|
} while(0);
|
|
|
|
|
|
|
|
#define SPLIT_RADIX_PERMUTATION(num) do { \
|
|
|
|
if (s->fft_permutation == FF_FFT_PERM_SWAP_LSBS) {\
|
|
|
|
PROCESS_FFT_PERM_SWAP_LSBS(num) \
|
|
|
|
} else {\
|
|
|
|
PROCESS_FFT_PERM_DEFAULT(num) \
|
|
|
|
}\
|
|
|
|
} while(0);
|
|
|
|
|
|
|
|
if (s->revtab)
|
|
|
|
SPLIT_RADIX_PERMUTATION()
|
|
|
|
if (s->revtab32)
|
|
|
|
SPLIT_RADIX_PERMUTATION(32)
|
|
|
|
|
|
|
|
#undef PROCESS_FFT_PERM_DEFAULT
|
|
|
|
#undef PROCESS_FFT_PERM_SWAP_LSBS
|
|
|
|
#undef SPLIT_RADIX_PERMUTATION
|
2011-02-12 11:48:16 +00:00
|
|
|
}
|
2008-08-12 00:26:58 +00:00
|
|
|
|
2002-10-28 00:34:08 +00:00
|
|
|
return 0;
|
|
|
|
fail:
|
|
|
|
av_freep(&s->revtab);
|
2016-03-04 14:39:55 +00:00
|
|
|
av_freep(&s->revtab32);
|
2008-08-12 00:26:58 +00:00
|
|
|
av_freep(&s->tmp_buf);
|
2002-10-28 00:34:08 +00:00
|
|
|
return -1;
|
|
|
|
}
|
|
|
|
|
2013-04-20 19:51:11 +00:00
|
|
|
static void fft_permute_c(FFTContext *s, FFTComplex *z)
|
2002-10-28 00:34:08 +00:00
|
|
|
{
|
2010-07-01 23:21:42 +00:00
|
|
|
int j, np;
|
2002-10-28 00:34:08 +00:00
|
|
|
const uint16_t *revtab = s->revtab;
|
2016-03-04 14:39:55 +00:00
|
|
|
const uint32_t *revtab32 = s->revtab32;
|
2008-08-12 00:26:58 +00:00
|
|
|
np = 1 << s->nbits;
|
2010-07-01 23:21:46 +00:00
|
|
|
/* TODO: handle split-radix permute in a more optimal way, probably in-place */
|
2016-03-04 14:39:55 +00:00
|
|
|
if (revtab) {
|
|
|
|
for(j=0;j<np;j++) s->tmp_buf[revtab[j]] = z[j];
|
|
|
|
} else
|
|
|
|
for(j=0;j<np;j++) s->tmp_buf[revtab32[j]] = z[j];
|
|
|
|
|
2010-07-01 23:21:46 +00:00
|
|
|
memcpy(z, s->tmp_buf, np * sizeof(FFTComplex));
|
2002-10-28 00:34:08 +00:00
|
|
|
}
|
|
|
|
|
2009-01-29 17:08:51 +00:00
|
|
|
av_cold void ff_fft_end(FFTContext *s)
|
2002-10-28 00:34:08 +00:00
|
|
|
{
|
|
|
|
av_freep(&s->revtab);
|
2016-03-04 14:39:55 +00:00
|
|
|
av_freep(&s->revtab32);
|
2008-08-12 00:26:58 +00:00
|
|
|
av_freep(&s->tmp_buf);
|
|
|
|
}
|
|
|
|
|
2024-01-24 09:12:57 +00:00
|
|
|
#if !FFT_FLOAT
|
2013-06-03 14:11:12 +00:00
|
|
|
|
|
|
|
static void fft_calc_c(FFTContext *s, FFTComplex *z) {
|
|
|
|
|
|
|
|
int nbits, i, n, num_transforms, offset, step;
|
|
|
|
int n4, n2, n34;
|
2017-05-27 10:21:25 +00:00
|
|
|
unsigned tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7, tmp8;
|
2013-06-03 14:11:12 +00:00
|
|
|
FFTComplex *tmpz;
|
|
|
|
const int fft_size = (1 << s->nbits);
|
|
|
|
int64_t accu;
|
|
|
|
|
|
|
|
num_transforms = (0x2aab >> (16 - s->nbits)) | 1;
|
|
|
|
|
|
|
|
for (n=0; n<num_transforms; n++){
|
2014-08-29 16:26:57 +00:00
|
|
|
offset = ff_fft_offsets_lut[n] << 2;
|
2013-06-03 14:11:12 +00:00
|
|
|
tmpz = z + offset;
|
|
|
|
|
2017-05-27 10:21:25 +00:00
|
|
|
tmp1 = tmpz[0].re + (unsigned)tmpz[1].re;
|
|
|
|
tmp5 = tmpz[2].re + (unsigned)tmpz[3].re;
|
|
|
|
tmp2 = tmpz[0].im + (unsigned)tmpz[1].im;
|
|
|
|
tmp6 = tmpz[2].im + (unsigned)tmpz[3].im;
|
|
|
|
tmp3 = tmpz[0].re - (unsigned)tmpz[1].re;
|
|
|
|
tmp8 = tmpz[2].im - (unsigned)tmpz[3].im;
|
|
|
|
tmp4 = tmpz[0].im - (unsigned)tmpz[1].im;
|
|
|
|
tmp7 = tmpz[2].re - (unsigned)tmpz[3].re;
|
2013-06-03 14:11:12 +00:00
|
|
|
|
|
|
|
tmpz[0].re = tmp1 + tmp5;
|
|
|
|
tmpz[2].re = tmp1 - tmp5;
|
|
|
|
tmpz[0].im = tmp2 + tmp6;
|
|
|
|
tmpz[2].im = tmp2 - tmp6;
|
|
|
|
tmpz[1].re = tmp3 + tmp8;
|
|
|
|
tmpz[3].re = tmp3 - tmp8;
|
|
|
|
tmpz[1].im = tmp4 - tmp7;
|
|
|
|
tmpz[3].im = tmp4 + tmp7;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (fft_size < 8)
|
|
|
|
return;
|
|
|
|
|
|
|
|
num_transforms = (num_transforms >> 1) | 1;
|
|
|
|
|
|
|
|
for (n=0; n<num_transforms; n++){
|
2014-08-29 16:26:57 +00:00
|
|
|
offset = ff_fft_offsets_lut[n] << 3;
|
2013-06-03 14:11:12 +00:00
|
|
|
tmpz = z + offset;
|
|
|
|
|
2017-05-27 10:21:25 +00:00
|
|
|
tmp1 = tmpz[4].re + (unsigned)tmpz[5].re;
|
|
|
|
tmp3 = tmpz[6].re + (unsigned)tmpz[7].re;
|
|
|
|
tmp2 = tmpz[4].im + (unsigned)tmpz[5].im;
|
|
|
|
tmp4 = tmpz[6].im + (unsigned)tmpz[7].im;
|
2013-06-03 14:11:12 +00:00
|
|
|
tmp5 = tmp1 + tmp3;
|
|
|
|
tmp7 = tmp1 - tmp3;
|
|
|
|
tmp6 = tmp2 + tmp4;
|
|
|
|
tmp8 = tmp2 - tmp4;
|
|
|
|
|
2017-05-27 10:21:25 +00:00
|
|
|
tmp1 = tmpz[4].re - (unsigned)tmpz[5].re;
|
|
|
|
tmp2 = tmpz[4].im - (unsigned)tmpz[5].im;
|
|
|
|
tmp3 = tmpz[6].re - (unsigned)tmpz[7].re;
|
|
|
|
tmp4 = tmpz[6].im - (unsigned)tmpz[7].im;
|
2013-06-03 14:11:12 +00:00
|
|
|
|
|
|
|
tmpz[4].re = tmpz[0].re - tmp5;
|
|
|
|
tmpz[0].re = tmpz[0].re + tmp5;
|
|
|
|
tmpz[4].im = tmpz[0].im - tmp6;
|
|
|
|
tmpz[0].im = tmpz[0].im + tmp6;
|
|
|
|
tmpz[6].re = tmpz[2].re - tmp8;
|
|
|
|
tmpz[2].re = tmpz[2].re + tmp8;
|
|
|
|
tmpz[6].im = tmpz[2].im + tmp7;
|
|
|
|
tmpz[2].im = tmpz[2].im - tmp7;
|
|
|
|
|
2017-05-27 10:21:25 +00:00
|
|
|
accu = (int64_t)Q31(M_SQRT1_2)*(int)(tmp1 + tmp2);
|
2013-06-03 14:11:12 +00:00
|
|
|
tmp5 = (int32_t)((accu + 0x40000000) >> 31);
|
2017-05-27 10:21:25 +00:00
|
|
|
accu = (int64_t)Q31(M_SQRT1_2)*(int)(tmp3 - tmp4);
|
2013-06-03 14:11:12 +00:00
|
|
|
tmp7 = (int32_t)((accu + 0x40000000) >> 31);
|
2017-05-27 10:21:25 +00:00
|
|
|
accu = (int64_t)Q31(M_SQRT1_2)*(int)(tmp2 - tmp1);
|
2013-06-03 14:11:12 +00:00
|
|
|
tmp6 = (int32_t)((accu + 0x40000000) >> 31);
|
2017-05-27 10:21:25 +00:00
|
|
|
accu = (int64_t)Q31(M_SQRT1_2)*(int)(tmp3 + tmp4);
|
2013-06-03 14:11:12 +00:00
|
|
|
tmp8 = (int32_t)((accu + 0x40000000) >> 31);
|
|
|
|
tmp1 = tmp5 + tmp7;
|
|
|
|
tmp3 = tmp5 - tmp7;
|
|
|
|
tmp2 = tmp6 + tmp8;
|
|
|
|
tmp4 = tmp6 - tmp8;
|
|
|
|
|
|
|
|
tmpz[5].re = tmpz[1].re - tmp1;
|
|
|
|
tmpz[1].re = tmpz[1].re + tmp1;
|
|
|
|
tmpz[5].im = tmpz[1].im - tmp2;
|
|
|
|
tmpz[1].im = tmpz[1].im + tmp2;
|
|
|
|
tmpz[7].re = tmpz[3].re - tmp4;
|
|
|
|
tmpz[3].re = tmpz[3].re + tmp4;
|
|
|
|
tmpz[7].im = tmpz[3].im + tmp3;
|
|
|
|
tmpz[3].im = tmpz[3].im - tmp3;
|
|
|
|
}
|
|
|
|
|
|
|
|
step = 1 << ((MAX_LOG2_NFFT-4) - 4);
|
|
|
|
n4 = 4;
|
|
|
|
|
|
|
|
for (nbits=4; nbits<=s->nbits; nbits++){
|
|
|
|
n2 = 2*n4;
|
|
|
|
n34 = 3*n4;
|
|
|
|
num_transforms = (num_transforms >> 1) | 1;
|
|
|
|
|
|
|
|
for (n=0; n<num_transforms; n++){
|
2014-08-29 16:32:20 +00:00
|
|
|
const FFTSample *w_re_ptr = ff_w_tab_sr + step;
|
|
|
|
const FFTSample *w_im_ptr = ff_w_tab_sr + MAX_FFT_SIZE/(4*16) - step;
|
2014-08-29 16:26:57 +00:00
|
|
|
offset = ff_fft_offsets_lut[n] << nbits;
|
2013-06-03 14:11:12 +00:00
|
|
|
tmpz = z + offset;
|
|
|
|
|
2017-05-27 10:21:25 +00:00
|
|
|
tmp5 = tmpz[ n2].re + (unsigned)tmpz[n34].re;
|
|
|
|
tmp1 = tmpz[ n2].re - (unsigned)tmpz[n34].re;
|
|
|
|
tmp6 = tmpz[ n2].im + (unsigned)tmpz[n34].im;
|
|
|
|
tmp2 = tmpz[ n2].im - (unsigned)tmpz[n34].im;
|
2013-06-03 14:11:12 +00:00
|
|
|
|
|
|
|
tmpz[ n2].re = tmpz[ 0].re - tmp5;
|
|
|
|
tmpz[ 0].re = tmpz[ 0].re + tmp5;
|
|
|
|
tmpz[ n2].im = tmpz[ 0].im - tmp6;
|
|
|
|
tmpz[ 0].im = tmpz[ 0].im + tmp6;
|
|
|
|
tmpz[n34].re = tmpz[n4].re - tmp2;
|
|
|
|
tmpz[ n4].re = tmpz[n4].re + tmp2;
|
|
|
|
tmpz[n34].im = tmpz[n4].im + tmp1;
|
|
|
|
tmpz[ n4].im = tmpz[n4].im - tmp1;
|
|
|
|
|
|
|
|
for (i=1; i<n4; i++){
|
2014-08-29 16:32:20 +00:00
|
|
|
FFTSample w_re = w_re_ptr[0];
|
|
|
|
FFTSample w_im = w_im_ptr[0];
|
2013-06-03 14:11:12 +00:00
|
|
|
accu = (int64_t)w_re*tmpz[ n2+i].re;
|
|
|
|
accu += (int64_t)w_im*tmpz[ n2+i].im;
|
|
|
|
tmp1 = (int32_t)((accu + 0x40000000) >> 31);
|
|
|
|
accu = (int64_t)w_re*tmpz[ n2+i].im;
|
|
|
|
accu -= (int64_t)w_im*tmpz[ n2+i].re;
|
|
|
|
tmp2 = (int32_t)((accu + 0x40000000) >> 31);
|
|
|
|
accu = (int64_t)w_re*tmpz[n34+i].re;
|
|
|
|
accu -= (int64_t)w_im*tmpz[n34+i].im;
|
|
|
|
tmp3 = (int32_t)((accu + 0x40000000) >> 31);
|
|
|
|
accu = (int64_t)w_re*tmpz[n34+i].im;
|
|
|
|
accu += (int64_t)w_im*tmpz[n34+i].re;
|
|
|
|
tmp4 = (int32_t)((accu + 0x40000000) >> 31);
|
|
|
|
|
|
|
|
tmp5 = tmp1 + tmp3;
|
|
|
|
tmp1 = tmp1 - tmp3;
|
|
|
|
tmp6 = tmp2 + tmp4;
|
|
|
|
tmp2 = tmp2 - tmp4;
|
|
|
|
|
|
|
|
tmpz[ n2+i].re = tmpz[ i].re - tmp5;
|
|
|
|
tmpz[ i].re = tmpz[ i].re + tmp5;
|
|
|
|
tmpz[ n2+i].im = tmpz[ i].im - tmp6;
|
|
|
|
tmpz[ i].im = tmpz[ i].im + tmp6;
|
|
|
|
tmpz[n34+i].re = tmpz[n4+i].re - tmp2;
|
|
|
|
tmpz[ n4+i].re = tmpz[n4+i].re + tmp2;
|
|
|
|
tmpz[n34+i].im = tmpz[n4+i].im + tmp1;
|
|
|
|
tmpz[ n4+i].im = tmpz[n4+i].im - tmp1;
|
|
|
|
|
|
|
|
w_re_ptr += step;
|
|
|
|
w_im_ptr -= step;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
step >>= 1;
|
|
|
|
n4 <<= 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2024-01-24 09:12:57 +00:00
|
|
|
#else /* !FFT_FLOAT */
|
2013-06-03 14:11:12 +00:00
|
|
|
|
2008-08-12 00:26:58 +00:00
|
|
|
#define BUTTERFLIES(a0,a1,a2,a3) {\
|
|
|
|
BF(t3, t5, t5, t1);\
|
|
|
|
BF(a2.re, a0.re, a0.re, t5);\
|
|
|
|
BF(a3.im, a1.im, a1.im, t3);\
|
|
|
|
BF(t4, t6, t2, t6);\
|
|
|
|
BF(a3.re, a1.re, a1.re, t4);\
|
|
|
|
BF(a2.im, a0.im, a0.im, t6);\
|
|
|
|
}
|
|
|
|
|
|
|
|
// force loading all the inputs before storing any.
|
|
|
|
// this is slightly slower for small data, but avoids store->load aliasing
|
|
|
|
// for addresses separated by large powers of 2.
|
|
|
|
#define BUTTERFLIES_BIG(a0,a1,a2,a3) {\
|
|
|
|
FFTSample r0=a0.re, i0=a0.im, r1=a1.re, i1=a1.im;\
|
|
|
|
BF(t3, t5, t5, t1);\
|
|
|
|
BF(a2.re, a0.re, r0, t5);\
|
|
|
|
BF(a3.im, a1.im, i1, t3);\
|
|
|
|
BF(t4, t6, t2, t6);\
|
|
|
|
BF(a3.re, a1.re, r1, t4);\
|
|
|
|
BF(a2.im, a0.im, i0, t6);\
|
|
|
|
}
|
|
|
|
|
|
|
|
#define TRANSFORM(a0,a1,a2,a3,wre,wim) {\
|
2011-03-26 15:20:30 +00:00
|
|
|
CMUL(t1, t2, a2.re, a2.im, wre, -wim);\
|
|
|
|
CMUL(t5, t6, a3.re, a3.im, wre, wim);\
|
2008-08-12 00:26:58 +00:00
|
|
|
BUTTERFLIES(a0,a1,a2,a3)\
|
|
|
|
}
|
|
|
|
|
|
|
|
#define TRANSFORM_ZERO(a0,a1,a2,a3) {\
|
|
|
|
t1 = a2.re;\
|
|
|
|
t2 = a2.im;\
|
|
|
|
t5 = a3.re;\
|
|
|
|
t6 = a3.im;\
|
|
|
|
BUTTERFLIES(a0,a1,a2,a3)\
|
|
|
|
}
|
|
|
|
|
|
|
|
/* z[0...8n-1], w[1...2n-1] */
|
|
|
|
#define PASS(name)\
|
|
|
|
static void name(FFTComplex *z, const FFTSample *wre, unsigned int n)\
|
|
|
|
{\
|
2011-03-26 15:20:30 +00:00
|
|
|
FFTDouble t1, t2, t3, t4, t5, t6;\
|
2008-08-12 00:26:58 +00:00
|
|
|
int o1 = 2*n;\
|
|
|
|
int o2 = 4*n;\
|
|
|
|
int o3 = 6*n;\
|
|
|
|
const FFTSample *wim = wre+o1;\
|
|
|
|
n--;\
|
|
|
|
\
|
|
|
|
TRANSFORM_ZERO(z[0],z[o1],z[o2],z[o3]);\
|
|
|
|
TRANSFORM(z[1],z[o1+1],z[o2+1],z[o3+1],wre[1],wim[-1]);\
|
|
|
|
do {\
|
|
|
|
z += 2;\
|
|
|
|
wre += 2;\
|
|
|
|
wim -= 2;\
|
|
|
|
TRANSFORM(z[0],z[o1],z[o2],z[o3],wre[0],wim[0]);\
|
|
|
|
TRANSFORM(z[1],z[o1+1],z[o2+1],z[o3+1],wre[1],wim[-1]);\
|
|
|
|
} while(--n);\
|
|
|
|
}
|
|
|
|
|
|
|
|
PASS(pass)
|
2018-07-21 12:05:41 +00:00
|
|
|
#if !CONFIG_SMALL
|
2008-08-12 00:26:58 +00:00
|
|
|
#undef BUTTERFLIES
|
|
|
|
#define BUTTERFLIES BUTTERFLIES_BIG
|
|
|
|
PASS(pass_big)
|
2018-07-21 12:05:41 +00:00
|
|
|
#endif
|
2008-08-12 00:26:58 +00:00
|
|
|
|
|
|
|
#define DECL_FFT(n,n2,n4)\
|
|
|
|
static void fft##n(FFTComplex *z)\
|
|
|
|
{\
|
|
|
|
fft##n2(z);\
|
|
|
|
fft##n4(z+n4*2);\
|
|
|
|
fft##n4(z+n4*3);\
|
2011-03-26 15:20:30 +00:00
|
|
|
pass(z,FFT_NAME(ff_cos_##n),n4/2);\
|
2008-08-12 00:26:58 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
static void fft4(FFTComplex *z)
|
|
|
|
{
|
2011-03-26 15:20:30 +00:00
|
|
|
FFTDouble t1, t2, t3, t4, t5, t6, t7, t8;
|
2008-08-12 00:26:58 +00:00
|
|
|
|
|
|
|
BF(t3, t1, z[0].re, z[1].re);
|
|
|
|
BF(t8, t6, z[3].re, z[2].re);
|
|
|
|
BF(z[2].re, z[0].re, t1, t6);
|
|
|
|
BF(t4, t2, z[0].im, z[1].im);
|
|
|
|
BF(t7, t5, z[2].im, z[3].im);
|
|
|
|
BF(z[3].im, z[1].im, t4, t8);
|
|
|
|
BF(z[3].re, z[1].re, t3, t7);
|
|
|
|
BF(z[2].im, z[0].im, t2, t5);
|
|
|
|
}
|
|
|
|
|
|
|
|
static void fft8(FFTComplex *z)
|
|
|
|
{
|
2011-03-27 13:49:55 +00:00
|
|
|
FFTDouble t1, t2, t3, t4, t5, t6;
|
2008-08-12 00:26:58 +00:00
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fft4(z);
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BF(t1, z[5].re, z[4].re, -z[5].re);
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BF(t2, z[5].im, z[4].im, -z[5].im);
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2011-03-27 13:49:55 +00:00
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BF(t5, z[7].re, z[6].re, -z[7].re);
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BF(t6, z[7].im, z[6].im, -z[7].im);
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2008-08-12 00:26:58 +00:00
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2011-03-27 13:49:55 +00:00
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BUTTERFLIES(z[0],z[2],z[4],z[6]);
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2008-08-12 00:26:58 +00:00
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TRANSFORM(z[1],z[3],z[5],z[7],sqrthalf,sqrthalf);
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}
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2009-01-13 23:44:16 +00:00
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#if !CONFIG_SMALL
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2008-08-12 00:26:58 +00:00
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static void fft16(FFTComplex *z)
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{
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2011-03-26 15:20:30 +00:00
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FFTDouble t1, t2, t3, t4, t5, t6;
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FFTSample cos_16_1 = FFT_NAME(ff_cos_16)[1];
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FFTSample cos_16_3 = FFT_NAME(ff_cos_16)[3];
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2008-08-12 00:26:58 +00:00
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fft8(z);
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fft4(z+8);
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fft4(z+12);
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TRANSFORM_ZERO(z[0],z[4],z[8],z[12]);
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TRANSFORM(z[2],z[6],z[10],z[14],sqrthalf,sqrthalf);
|
2011-03-26 15:20:30 +00:00
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TRANSFORM(z[1],z[5],z[9],z[13],cos_16_1,cos_16_3);
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TRANSFORM(z[3],z[7],z[11],z[15],cos_16_3,cos_16_1);
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2008-08-12 00:26:58 +00:00
|
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}
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#else
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DECL_FFT(16,8,4)
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#endif
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DECL_FFT(32,16,8)
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DECL_FFT(64,32,16)
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DECL_FFT(128,64,32)
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DECL_FFT(256,128,64)
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DECL_FFT(512,256,128)
|
2009-01-13 23:44:16 +00:00
|
|
|
#if !CONFIG_SMALL
|
2008-08-12 00:26:58 +00:00
|
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#define pass pass_big
|
|
|
|
#endif
|
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|
DECL_FFT(1024,512,256)
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DECL_FFT(2048,1024,512)
|
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DECL_FFT(4096,2048,1024)
|
|
|
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DECL_FFT(8192,4096,2048)
|
|
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|
DECL_FFT(16384,8192,4096)
|
|
|
|
DECL_FFT(32768,16384,8192)
|
|
|
|
DECL_FFT(65536,32768,16384)
|
2016-03-03 23:31:45 +00:00
|
|
|
DECL_FFT(131072,65536,32768)
|
2008-08-12 00:26:58 +00:00
|
|
|
|
2009-10-13 10:30:10 +00:00
|
|
|
static void (* const fft_dispatch[])(FFTComplex*) = {
|
2008-08-12 00:26:58 +00:00
|
|
|
fft4, fft8, fft16, fft32, fft64, fft128, fft256, fft512, fft1024,
|
2016-03-03 23:31:45 +00:00
|
|
|
fft2048, fft4096, fft8192, fft16384, fft32768, fft65536, fft131072
|
2008-08-12 00:26:58 +00:00
|
|
|
};
|
|
|
|
|
2013-04-20 19:51:11 +00:00
|
|
|
static void fft_calc_c(FFTContext *s, FFTComplex *z)
|
2008-08-12 00:26:58 +00:00
|
|
|
{
|
|
|
|
fft_dispatch[s->nbits-2](z);
|
2002-10-28 00:34:08 +00:00
|
|
|
}
|
2024-01-24 09:12:57 +00:00
|
|
|
#endif /* !FFT_FLOAT */
|