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FFmpeg/libavutil/tx_template.c
Andreas Rheinhardt 790f793844 avutil/common: Don't auto-include mem.h 
There are lots of files that don't need it: The number of object
files that actually need it went down from 2011 to 884 here.

Keep it for external users in order to not cause breakages.

Also improve the other headers a bit while just at it.

Signed-off-by: Andreas Rheinhardt <andreas.rheinhardt@outlook.com>
2024-03-31 00:08:43 +01:00

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/*
* Copyright (c) Lynne
*
* Power of two FFT:
* Copyright (c) Lynne
* Copyright (c) 2008 Loren Merritt
* Copyright (c) 2002 Fabrice Bellard
* Partly based on libdjbfft by D. J. Bernstein
*
* This file is part of FFmpeg.
*
* FFmpeg is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* FFmpeg is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with FFmpeg; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "mem.h"
#define TABLE_DEF(name, size) \
DECLARE_ALIGNED(32, TXSample, TX_TAB(ff_tx_tab_ ##name))[size]
#define SR_POW2_TABLES \
SR_TABLE(8) \
SR_TABLE(16) \
SR_TABLE(32) \
SR_TABLE(64) \
SR_TABLE(128) \
SR_TABLE(256) \
SR_TABLE(512) \
SR_TABLE(1024) \
SR_TABLE(2048) \
SR_TABLE(4096) \
SR_TABLE(8192) \
SR_TABLE(16384) \
SR_TABLE(32768) \
SR_TABLE(65536) \
SR_TABLE(131072) \
SR_TABLE(262144) \
SR_TABLE(524288) \
SR_TABLE(1048576) \
SR_TABLE(2097152) \
#define SR_TABLE(len) \
TABLE_DEF(len, len/4 + 1);
/* Power of two tables */
SR_POW2_TABLES
#undef SR_TABLE
/* Other factors' tables */
TABLE_DEF(53, 12);
TABLE_DEF( 7, 6);
TABLE_DEF( 9, 8);
typedef struct FFTabInitData {
void (*func)(void);
int factors[TX_MAX_SUB]; /* Must be sorted high -> low */
} FFTabInitData;
#define SR_TABLE(len) \
static av_cold void TX_TAB(ff_tx_init_tab_ ##len)(void) \
{ \
double freq = 2*M_PI/len; \
TXSample *tab = TX_TAB(ff_tx_tab_ ##len); \
\
for (int i = 0; i < len/4; i++) \
*tab++ = RESCALE(cos(i*freq)); \
\
*tab = 0; \
}
SR_POW2_TABLES
#undef SR_TABLE
static void (*const sr_tabs_init_funcs[])(void) = {
#define SR_TABLE(len) TX_TAB(ff_tx_init_tab_ ##len),
SR_POW2_TABLES
#undef SR_TABLE
};
static AVOnce sr_tabs_init_once[] = {
#define SR_TABLE(len) AV_ONCE_INIT,
SR_POW2_TABLES
#undef SR_TABLE
};
static av_cold void TX_TAB(ff_tx_init_tab_53)(void)
{
/* 5pt, doubled to eliminate AVX lane shuffles */
TX_TAB(ff_tx_tab_53)[0] = RESCALE(cos(2 * M_PI / 5));
TX_TAB(ff_tx_tab_53)[1] = RESCALE(cos(2 * M_PI / 5));
TX_TAB(ff_tx_tab_53)[2] = RESCALE(cos(2 * M_PI / 10));
TX_TAB(ff_tx_tab_53)[3] = RESCALE(cos(2 * M_PI / 10));
TX_TAB(ff_tx_tab_53)[4] = RESCALE(sin(2 * M_PI / 5));
TX_TAB(ff_tx_tab_53)[5] = RESCALE(sin(2 * M_PI / 5));
TX_TAB(ff_tx_tab_53)[6] = RESCALE(sin(2 * M_PI / 10));
TX_TAB(ff_tx_tab_53)[7] = RESCALE(sin(2 * M_PI / 10));
/* 3pt */
TX_TAB(ff_tx_tab_53)[ 8] = RESCALE(cos(2 * M_PI / 12));
TX_TAB(ff_tx_tab_53)[ 9] = RESCALE(cos(2 * M_PI / 12));
TX_TAB(ff_tx_tab_53)[10] = RESCALE(cos(2 * M_PI / 6));
TX_TAB(ff_tx_tab_53)[11] = RESCALE(cos(8 * M_PI / 6));
}
static av_cold void TX_TAB(ff_tx_init_tab_7)(void)
{
TX_TAB(ff_tx_tab_7)[0] = RESCALE(cos(2 * M_PI / 7));
TX_TAB(ff_tx_tab_7)[1] = RESCALE(sin(2 * M_PI / 7));
TX_TAB(ff_tx_tab_7)[2] = RESCALE(sin(2 * M_PI / 28));
TX_TAB(ff_tx_tab_7)[3] = RESCALE(cos(2 * M_PI / 28));
TX_TAB(ff_tx_tab_7)[4] = RESCALE(cos(2 * M_PI / 14));
TX_TAB(ff_tx_tab_7)[5] = RESCALE(sin(2 * M_PI / 14));
}
static av_cold void TX_TAB(ff_tx_init_tab_9)(void)
{
TX_TAB(ff_tx_tab_9)[0] = RESCALE(cos(2 * M_PI / 3));
TX_TAB(ff_tx_tab_9)[1] = RESCALE(sin(2 * M_PI / 3));
TX_TAB(ff_tx_tab_9)[2] = RESCALE(cos(2 * M_PI / 9));
TX_TAB(ff_tx_tab_9)[3] = RESCALE(sin(2 * M_PI / 9));
TX_TAB(ff_tx_tab_9)[4] = RESCALE(cos(2 * M_PI / 36));
TX_TAB(ff_tx_tab_9)[5] = RESCALE(sin(2 * M_PI / 36));
TX_TAB(ff_tx_tab_9)[6] = TX_TAB(ff_tx_tab_9)[2] + TX_TAB(ff_tx_tab_9)[5];
TX_TAB(ff_tx_tab_9)[7] = TX_TAB(ff_tx_tab_9)[3] - TX_TAB(ff_tx_tab_9)[4];
}
static const FFTabInitData nptwo_tabs_init_data[] = {
{ TX_TAB(ff_tx_init_tab_53), { 15, 5, 3 } },
{ TX_TAB(ff_tx_init_tab_9), { 9 } },
{ TX_TAB(ff_tx_init_tab_7), { 7 } },
};
static AVOnce nptwo_tabs_init_once[] = {
AV_ONCE_INIT,
AV_ONCE_INIT,
AV_ONCE_INIT,
};
av_cold void TX_TAB(ff_tx_init_tabs)(int len)
{
int factor_2 = ff_ctz(len);
if (factor_2) {
int idx = factor_2 - 3;
for (int i = 0; i <= idx; i++)
ff_thread_once(&sr_tabs_init_once[i],
sr_tabs_init_funcs[i]);
len >>= factor_2;
}
for (int i = 0; i < FF_ARRAY_ELEMS(nptwo_tabs_init_data); i++) {
int f, f_idx = 0;
if (len <= 1)
return;
while ((f = nptwo_tabs_init_data[i].factors[f_idx++])) {
if (f % len)
continue;
ff_thread_once(&nptwo_tabs_init_once[i],
nptwo_tabs_init_data[i].func);
len /= f;
break;
}
}
}
static av_always_inline void fft3(TXComplex *out, TXComplex *in,
ptrdiff_t stride)
{
TXComplex tmp[3];
const TXSample *tab = TX_TAB(ff_tx_tab_53);
#ifdef TX_INT32
int64_t mtmp[4];
#endif
tmp[0] = in[0];
BF(tmp[1].re, tmp[2].im, in[1].im, in[2].im);
BF(tmp[1].im, tmp[2].re, in[1].re, in[2].re);
#ifdef TX_INT32
out[0*stride].re = (int64_t)tmp[0].re + tmp[2].re;
out[0*stride].im = (int64_t)tmp[0].im + tmp[2].im;
mtmp[0] = (int64_t)tab[ 8] * tmp[1].re;
mtmp[1] = (int64_t)tab[ 9] * tmp[1].im;
mtmp[2] = (int64_t)tab[10] * tmp[2].re;
mtmp[3] = (int64_t)tab[10] * tmp[2].im;
out[1*stride].re = tmp[0].re - (mtmp[2] + mtmp[0] + 0x40000000 >> 31);
out[1*stride].im = tmp[0].im - (mtmp[3] - mtmp[1] + 0x40000000 >> 31);
out[2*stride].re = tmp[0].re - (mtmp[2] - mtmp[0] + 0x40000000 >> 31);
out[2*stride].im = tmp[0].im - (mtmp[3] + mtmp[1] + 0x40000000 >> 31);
#else
out[0*stride].re = tmp[0].re + tmp[2].re;
out[0*stride].im = tmp[0].im + tmp[2].im;
tmp[1].re = tab[ 8] * tmp[1].re;
tmp[1].im = tab[ 9] * tmp[1].im;
tmp[2].re = tab[10] * tmp[2].re;
tmp[2].im = tab[10] * tmp[2].im;
out[1*stride].re = tmp[0].re - tmp[2].re + tmp[1].re;
out[1*stride].im = tmp[0].im - tmp[2].im - tmp[1].im;
out[2*stride].re = tmp[0].re - tmp[2].re - tmp[1].re;
out[2*stride].im = tmp[0].im - tmp[2].im + tmp[1].im;
#endif
}
#define DECL_FFT5(NAME, D0, D1, D2, D3, D4) \
static av_always_inline void NAME(TXComplex *out, TXComplex *in, \
ptrdiff_t stride) \
{ \
TXComplex dc, z0[4], t[6]; \
const TXSample *tab = TX_TAB(ff_tx_tab_53); \
\
dc = in[0]; \
BF(t[1].im, t[0].re, in[1].re, in[4].re); \
BF(t[1].re, t[0].im, in[1].im, in[4].im); \
BF(t[3].im, t[2].re, in[2].re, in[3].re); \
BF(t[3].re, t[2].im, in[2].im, in[3].im); \
\
out[D0*stride].re = dc.re + (TXUSample)t[0].re + t[2].re; \
out[D0*stride].im = dc.im + (TXUSample)t[0].im + t[2].im; \
\
SMUL(t[4].re, t[0].re, tab[0], tab[2], t[2].re, t[0].re); \
SMUL(t[4].im, t[0].im, tab[0], tab[2], t[2].im, t[0].im); \
CMUL(t[5].re, t[1].re, tab[4], tab[6], t[3].re, t[1].re); \
CMUL(t[5].im, t[1].im, tab[4], tab[6], t[3].im, t[1].im); \
\
BF(z0[0].re, z0[3].re, t[0].re, t[1].re); \
BF(z0[0].im, z0[3].im, t[0].im, t[1].im); \
BF(z0[2].re, z0[1].re, t[4].re, t[5].re); \
BF(z0[2].im, z0[1].im, t[4].im, t[5].im); \
\
out[D1*stride].re = dc.re + (TXUSample)z0[3].re; \
out[D1*stride].im = dc.im + (TXUSample)z0[0].im; \
out[D2*stride].re = dc.re + (TXUSample)z0[2].re; \
out[D2*stride].im = dc.im + (TXUSample)z0[1].im; \
out[D3*stride].re = dc.re + (TXUSample)z0[1].re; \
out[D3*stride].im = dc.im + (TXUSample)z0[2].im; \
out[D4*stride].re = dc.re + (TXUSample)z0[0].re; \
out[D4*stride].im = dc.im + (TXUSample)z0[3].im; \
}
DECL_FFT5(fft5, 0, 1, 2, 3, 4)
DECL_FFT5(fft5_m1, 0, 6, 12, 3, 9)
DECL_FFT5(fft5_m2, 10, 1, 7, 13, 4)
DECL_FFT5(fft5_m3, 5, 11, 2, 8, 14)
static av_always_inline void fft7(TXComplex *out, TXComplex *in,
ptrdiff_t stride)
{
TXComplex dc, t[6], z[3];
const TXComplex *tab = (const TXComplex *)TX_TAB(ff_tx_tab_7);
#ifdef TX_INT32
int64_t mtmp[12];
#endif
dc = in[0];
BF(t[1].re, t[0].re, in[1].re, in[6].re);
BF(t[1].im, t[0].im, in[1].im, in[6].im);
BF(t[3].re, t[2].re, in[2].re, in[5].re);
BF(t[3].im, t[2].im, in[2].im, in[5].im);
BF(t[5].re, t[4].re, in[3].re, in[4].re);
BF(t[5].im, t[4].im, in[3].im, in[4].im);
out[0*stride].re = dc.re + t[0].re + t[2].re + t[4].re;
out[0*stride].im = dc.im + t[0].im + t[2].im + t[4].im;
#ifdef TX_INT32 /* NOTE: it's possible to do this with 16 mults but 72 adds */
mtmp[ 0] = ((int64_t)tab[0].re)*t[0].re - ((int64_t)tab[2].re)*t[4].re;
mtmp[ 1] = ((int64_t)tab[0].re)*t[4].re - ((int64_t)tab[1].re)*t[0].re;
mtmp[ 2] = ((int64_t)tab[0].re)*t[2].re - ((int64_t)tab[2].re)*t[0].re;
mtmp[ 3] = ((int64_t)tab[0].re)*t[0].im - ((int64_t)tab[1].re)*t[2].im;
mtmp[ 4] = ((int64_t)tab[0].re)*t[4].im - ((int64_t)tab[1].re)*t[0].im;
mtmp[ 5] = ((int64_t)tab[0].re)*t[2].im - ((int64_t)tab[2].re)*t[0].im;
mtmp[ 6] = ((int64_t)tab[2].im)*t[1].im + ((int64_t)tab[1].im)*t[5].im;
mtmp[ 7] = ((int64_t)tab[0].im)*t[5].im + ((int64_t)tab[2].im)*t[3].im;
mtmp[ 8] = ((int64_t)tab[2].im)*t[5].im + ((int64_t)tab[1].im)*t[3].im;
mtmp[ 9] = ((int64_t)tab[0].im)*t[1].re + ((int64_t)tab[1].im)*t[3].re;
mtmp[10] = ((int64_t)tab[2].im)*t[3].re + ((int64_t)tab[0].im)*t[5].re;
mtmp[11] = ((int64_t)tab[2].im)*t[1].re + ((int64_t)tab[1].im)*t[5].re;
z[0].re = (int32_t)(mtmp[ 0] - ((int64_t)tab[1].re)*t[2].re + 0x40000000 >> 31);
z[1].re = (int32_t)(mtmp[ 1] - ((int64_t)tab[2].re)*t[2].re + 0x40000000 >> 31);
z[2].re = (int32_t)(mtmp[ 2] - ((int64_t)tab[1].re)*t[4].re + 0x40000000 >> 31);
z[0].im = (int32_t)(mtmp[ 3] - ((int64_t)tab[2].re)*t[4].im + 0x40000000 >> 31);
z[1].im = (int32_t)(mtmp[ 4] - ((int64_t)tab[2].re)*t[2].im + 0x40000000 >> 31);
z[2].im = (int32_t)(mtmp[ 5] - ((int64_t)tab[1].re)*t[4].im + 0x40000000 >> 31);
t[0].re = (int32_t)(mtmp[ 6] - ((int64_t)tab[0].im)*t[3].im + 0x40000000 >> 31);
t[2].re = (int32_t)(mtmp[ 7] - ((int64_t)tab[1].im)*t[1].im + 0x40000000 >> 31);
t[4].re = (int32_t)(mtmp[ 8] + ((int64_t)tab[0].im)*t[1].im + 0x40000000 >> 31);
t[0].im = (int32_t)(mtmp[ 9] + ((int64_t)tab[2].im)*t[5].re + 0x40000000 >> 31);
t[2].im = (int32_t)(mtmp[10] - ((int64_t)tab[1].im)*t[1].re + 0x40000000 >> 31);
t[4].im = (int32_t)(mtmp[11] - ((int64_t)tab[0].im)*t[3].re + 0x40000000 >> 31);
#else
z[0].re = tab[0].re*t[0].re - tab[2].re*t[4].re - tab[1].re*t[2].re;
z[1].re = tab[0].re*t[4].re - tab[1].re*t[0].re - tab[2].re*t[2].re;
z[2].re = tab[0].re*t[2].re - tab[2].re*t[0].re - tab[1].re*t[4].re;
z[0].im = tab[0].re*t[0].im - tab[1].re*t[2].im - tab[2].re*t[4].im;
z[1].im = tab[0].re*t[4].im - tab[1].re*t[0].im - tab[2].re*t[2].im;
z[2].im = tab[0].re*t[2].im - tab[2].re*t[0].im - tab[1].re*t[4].im;
/* It's possible to do t[4].re and t[0].im with 2 multiplies only by
* multiplying the sum of all with the average of the twiddles */
t[0].re = tab[2].im*t[1].im + tab[1].im*t[5].im - tab[0].im*t[3].im;
t[2].re = tab[0].im*t[5].im + tab[2].im*t[3].im - tab[1].im*t[1].im;
t[4].re = tab[2].im*t[5].im + tab[1].im*t[3].im + tab[0].im*t[1].im;
t[0].im = tab[0].im*t[1].re + tab[1].im*t[3].re + tab[2].im*t[5].re;
t[2].im = tab[2].im*t[3].re + tab[0].im*t[5].re - tab[1].im*t[1].re;
t[4].im = tab[2].im*t[1].re + tab[1].im*t[5].re - tab[0].im*t[3].re;
#endif
BF(t[1].re, z[0].re, z[0].re, t[4].re);
BF(t[3].re, z[1].re, z[1].re, t[2].re);
BF(t[5].re, z[2].re, z[2].re, t[0].re);
BF(t[1].im, z[0].im, z[0].im, t[0].im);
BF(t[3].im, z[1].im, z[1].im, t[2].im);
BF(t[5].im, z[2].im, z[2].im, t[4].im);
out[1*stride].re = dc.re + z[0].re;
out[1*stride].im = dc.im + t[1].im;
out[2*stride].re = dc.re + t[3].re;
out[2*stride].im = dc.im + z[1].im;
out[3*stride].re = dc.re + z[2].re;
out[3*stride].im = dc.im + t[5].im;
out[4*stride].re = dc.re + t[5].re;
out[4*stride].im = dc.im + z[2].im;
out[5*stride].re = dc.re + z[1].re;
out[5*stride].im = dc.im + t[3].im;
out[6*stride].re = dc.re + t[1].re;
out[6*stride].im = dc.im + z[0].im;
}
static av_always_inline void fft9(TXComplex *out, TXComplex *in,
ptrdiff_t stride)
{
const TXComplex *tab = (const TXComplex *)TX_TAB(ff_tx_tab_9);
TXComplex dc, t[16], w[4], x[5], y[5], z[2];
#ifdef TX_INT32
int64_t mtmp[12];
#endif
dc = in[0];
BF(t[1].re, t[0].re, in[1].re, in[8].re);
BF(t[1].im, t[0].im, in[1].im, in[8].im);
BF(t[3].re, t[2].re, in[2].re, in[7].re);
BF(t[3].im, t[2].im, in[2].im, in[7].im);
BF(t[5].re, t[4].re, in[3].re, in[6].re);
BF(t[5].im, t[4].im, in[3].im, in[6].im);
BF(t[7].re, t[6].re, in[4].re, in[5].re);
BF(t[7].im, t[6].im, in[4].im, in[5].im);
w[0].re = t[0].re - t[6].re;
w[0].im = t[0].im - t[6].im;
w[1].re = t[2].re - t[6].re;
w[1].im = t[2].im - t[6].im;
w[2].re = t[1].re - t[7].re;
w[2].im = t[1].im - t[7].im;
w[3].re = t[3].re + t[7].re;
w[3].im = t[3].im + t[7].im;
z[0].re = dc.re + t[4].re;
z[0].im = dc.im + t[4].im;
z[1].re = t[0].re + t[2].re + t[6].re;
z[1].im = t[0].im + t[2].im + t[6].im;
out[0*stride].re = z[0].re + z[1].re;
out[0*stride].im = z[0].im + z[1].im;
#ifdef TX_INT32
mtmp[0] = t[1].re - t[3].re + t[7].re;
mtmp[1] = t[1].im - t[3].im + t[7].im;
y[3].re = (int32_t)(((int64_t)tab[0].im)*mtmp[0] + 0x40000000 >> 31);
y[3].im = (int32_t)(((int64_t)tab[0].im)*mtmp[1] + 0x40000000 >> 31);
mtmp[0] = (int32_t)(((int64_t)tab[0].re)*z[1].re + 0x40000000 >> 31);
mtmp[1] = (int32_t)(((int64_t)tab[0].re)*z[1].im + 0x40000000 >> 31);
mtmp[2] = (int32_t)(((int64_t)tab[0].re)*t[4].re + 0x40000000 >> 31);
mtmp[3] = (int32_t)(((int64_t)tab[0].re)*t[4].im + 0x40000000 >> 31);
x[3].re = z[0].re + (int32_t)mtmp[0];
x[3].im = z[0].im + (int32_t)mtmp[1];
z[0].re = in[0].re + (int32_t)mtmp[2];
z[0].im = in[0].im + (int32_t)mtmp[3];
mtmp[0] = ((int64_t)tab[1].re)*w[0].re;
mtmp[1] = ((int64_t)tab[1].re)*w[0].im;
mtmp[2] = ((int64_t)tab[2].im)*w[0].re;
mtmp[3] = ((int64_t)tab[2].im)*w[0].im;
mtmp[4] = ((int64_t)tab[1].im)*w[2].re;
mtmp[5] = ((int64_t)tab[1].im)*w[2].im;
mtmp[6] = ((int64_t)tab[2].re)*w[2].re;
mtmp[7] = ((int64_t)tab[2].re)*w[2].im;
x[1].re = (int32_t)(mtmp[0] + ((int64_t)tab[2].im)*w[1].re + 0x40000000 >> 31);
x[1].im = (int32_t)(mtmp[1] + ((int64_t)tab[2].im)*w[1].im + 0x40000000 >> 31);
x[2].re = (int32_t)(mtmp[2] - ((int64_t)tab[3].re)*w[1].re + 0x40000000 >> 31);
x[2].im = (int32_t)(mtmp[3] - ((int64_t)tab[3].re)*w[1].im + 0x40000000 >> 31);
y[1].re = (int32_t)(mtmp[4] + ((int64_t)tab[2].re)*w[3].re + 0x40000000 >> 31);
y[1].im = (int32_t)(mtmp[5] + ((int64_t)tab[2].re)*w[3].im + 0x40000000 >> 31);
y[2].re = (int32_t)(mtmp[6] - ((int64_t)tab[3].im)*w[3].re + 0x40000000 >> 31);
y[2].im = (int32_t)(mtmp[7] - ((int64_t)tab[3].im)*w[3].im + 0x40000000 >> 31);
y[0].re = (int32_t)(((int64_t)tab[0].im)*t[5].re + 0x40000000 >> 31);
y[0].im = (int32_t)(((int64_t)tab[0].im)*t[5].im + 0x40000000 >> 31);
#else
y[3].re = tab[0].im*(t[1].re - t[3].re + t[7].re);
y[3].im = tab[0].im*(t[1].im - t[3].im + t[7].im);
x[3].re = z[0].re + tab[0].re*z[1].re;
x[3].im = z[0].im + tab[0].re*z[1].im;
z[0].re = dc.re + tab[0].re*t[4].re;
z[0].im = dc.im + tab[0].re*t[4].im;
x[1].re = tab[1].re*w[0].re + tab[2].im*w[1].re;
x[1].im = tab[1].re*w[0].im + tab[2].im*w[1].im;
x[2].re = tab[2].im*w[0].re - tab[3].re*w[1].re;
x[2].im = tab[2].im*w[0].im - tab[3].re*w[1].im;
y[1].re = tab[1].im*w[2].re + tab[2].re*w[3].re;
y[1].im = tab[1].im*w[2].im + tab[2].re*w[3].im;
y[2].re = tab[2].re*w[2].re - tab[3].im*w[3].re;
y[2].im = tab[2].re*w[2].im - tab[3].im*w[3].im;
y[0].re = tab[0].im*t[5].re;
y[0].im = tab[0].im*t[5].im;
#endif
x[4].re = x[1].re + x[2].re;
x[4].im = x[1].im + x[2].im;
y[4].re = y[1].re - y[2].re;
y[4].im = y[1].im - y[2].im;
x[1].re = z[0].re + x[1].re;
x[1].im = z[0].im + x[1].im;
y[1].re = y[0].re + y[1].re;
y[1].im = y[0].im + y[1].im;
x[2].re = z[0].re + x[2].re;
x[2].im = z[0].im + x[2].im;
y[2].re = y[2].re - y[0].re;
y[2].im = y[2].im - y[0].im;
x[4].re = z[0].re - x[4].re;
x[4].im = z[0].im - x[4].im;
y[4].re = y[0].re - y[4].re;
y[4].im = y[0].im - y[4].im;
out[1*stride] = (TXComplex){ x[1].re + y[1].im, x[1].im - y[1].re };
out[2*stride] = (TXComplex){ x[2].re + y[2].im, x[2].im - y[2].re };
out[3*stride] = (TXComplex){ x[3].re + y[3].im, x[3].im - y[3].re };
out[4*stride] = (TXComplex){ x[4].re + y[4].im, x[4].im - y[4].re };
out[5*stride] = (TXComplex){ x[4].re - y[4].im, x[4].im + y[4].re };
out[6*stride] = (TXComplex){ x[3].re - y[3].im, x[3].im + y[3].re };
out[7*stride] = (TXComplex){ x[2].re - y[2].im, x[2].im + y[2].re };
out[8*stride] = (TXComplex){ x[1].re - y[1].im, x[1].im + y[1].re };
}
static av_always_inline void fft15(TXComplex *out, TXComplex *in,
ptrdiff_t stride)
{
TXComplex tmp[15];
for (int i = 0; i < 5; i++)
fft3(tmp + i, in + i*3, 5);
fft5_m1(out, tmp + 0, stride);
fft5_m2(out, tmp + 5, stride);
fft5_m3(out, tmp + 10, stride);
}
static av_cold int TX_NAME(ff_tx_fft_factor_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret = 0;
TX_TAB(ff_tx_init_tabs)(len);
if (len == 15)
ret = ff_tx_gen_pfa_input_map(s, opts, 3, 5);
else if (flags & FF_TX_PRESHUFFLE)
ret = ff_tx_gen_default_map(s, opts);
return ret;
}
#define DECL_FACTOR_S(n) \
static void TX_NAME(ff_tx_fft##n)(AVTXContext *s, void *dst, \
void *src, ptrdiff_t stride) \
{ \
fft##n((TXComplex *)dst, (TXComplex *)src, stride / sizeof(TXComplex)); \
} \
static const FFTXCodelet TX_NAME(ff_tx_fft##n##_ns_def) = { \
.name = TX_NAME_STR("fft" #n "_ns"), \
.function = TX_NAME(ff_tx_fft##n), \
.type = TX_TYPE(FFT), \
.flags = AV_TX_INPLACE | FF_TX_OUT_OF_PLACE | \
AV_TX_UNALIGNED | FF_TX_PRESHUFFLE, \
.factors[0] = n, \
.nb_factors = 1, \
.min_len = n, \
.max_len = n, \
.init = TX_NAME(ff_tx_fft_factor_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
#define DECL_FACTOR_F(n) \
DECL_FACTOR_S(n) \
static const FFTXCodelet TX_NAME(ff_tx_fft##n##_fwd_def) = { \
.name = TX_NAME_STR("fft" #n "_fwd"), \
.function = TX_NAME(ff_tx_fft##n), \
.type = TX_TYPE(FFT), \
.flags = AV_TX_INPLACE | FF_TX_OUT_OF_PLACE | \
AV_TX_UNALIGNED | FF_TX_FORWARD_ONLY, \
.factors[0] = n, \
.nb_factors = 1, \
.min_len = n, \
.max_len = n, \
.init = TX_NAME(ff_tx_fft_factor_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
DECL_FACTOR_F(3)
DECL_FACTOR_F(5)
DECL_FACTOR_F(7)
DECL_FACTOR_F(9)
DECL_FACTOR_S(15)
#define BUTTERFLIES(a0, a1, a2, a3) \
do { \
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); \
} while (0)
#define TRANSFORM(a0, a1, a2, a3, wre, wim) \
do { \
CMUL(t1, t2, a2.re, a2.im, wre, -wim); \
CMUL(t5, t6, a3.re, a3.im, wre, wim); \
BUTTERFLIES(a0, a1, a2, a3); \
} while (0)
/* z[0...8n-1], w[1...2n-1] */
static inline void TX_NAME(ff_tx_fft_sr_combine)(TXComplex *z,
const TXSample *cos, int len)
{
int o1 = 2*len;
int o2 = 4*len;
int o3 = 6*len;
const TXSample *wim = cos + o1 - 7;
TXUSample t1, t2, t3, t4, t5, t6, r0, i0, r1, i1;
for (int i = 0; i < len; i += 4) {
TRANSFORM(z[0], z[o1 + 0], z[o2 + 0], z[o3 + 0], cos[0], wim[7]);
TRANSFORM(z[2], z[o1 + 2], z[o2 + 2], z[o3 + 2], cos[2], wim[5]);
TRANSFORM(z[4], z[o1 + 4], z[o2 + 4], z[o3 + 4], cos[4], wim[3]);
TRANSFORM(z[6], z[o1 + 6], z[o2 + 6], z[o3 + 6], cos[6], wim[1]);
TRANSFORM(z[1], z[o1 + 1], z[o2 + 1], z[o3 + 1], cos[1], wim[6]);
TRANSFORM(z[3], z[o1 + 3], z[o2 + 3], z[o3 + 3], cos[3], wim[4]);
TRANSFORM(z[5], z[o1 + 5], z[o2 + 5], z[o3 + 5], cos[5], wim[2]);
TRANSFORM(z[7], z[o1 + 7], z[o2 + 7], z[o3 + 7], cos[7], wim[0]);
z += 2*4;
cos += 2*4;
wim -= 2*4;
}
}
static av_cold int TX_NAME(ff_tx_fft_sr_codelet_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
TX_TAB(ff_tx_init_tabs)(len);
return ff_tx_gen_ptwo_revtab(s, opts);
}
#define DECL_SR_CODELET_DEF(n) \
static const FFTXCodelet TX_NAME(ff_tx_fft##n##_ns_def) = { \
.name = TX_NAME_STR("fft" #n "_ns"), \
.function = TX_NAME(ff_tx_fft##n##_ns), \
.type = TX_TYPE(FFT), \
.flags = FF_TX_OUT_OF_PLACE | AV_TX_INPLACE | \
AV_TX_UNALIGNED | FF_TX_PRESHUFFLE, \
.factors[0] = 2, \
.nb_factors = 1, \
.min_len = n, \
.max_len = n, \
.init = TX_NAME(ff_tx_fft_sr_codelet_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
#define DECL_SR_CODELET(n, n2, n4) \
static void TX_NAME(ff_tx_fft##n##_ns)(AVTXContext *s, void *_dst, \
void *_src, ptrdiff_t stride) \
{ \
TXComplex *src = _src; \
TXComplex *dst = _dst; \
const TXSample *cos = TX_TAB(ff_tx_tab_##n); \
\
TX_NAME(ff_tx_fft##n2##_ns)(s, dst, src, stride); \
TX_NAME(ff_tx_fft##n4##_ns)(s, dst + n4*2, src + n4*2, stride); \
TX_NAME(ff_tx_fft##n4##_ns)(s, dst + n4*3, src + n4*3, stride); \
TX_NAME(ff_tx_fft_sr_combine)(dst, cos, n4 >> 1); \
} \
\
DECL_SR_CODELET_DEF(n)
static void TX_NAME(ff_tx_fft2_ns)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
TXComplex tmp;
BF(tmp.re, dst[0].re, src[0].re, src[1].re);
BF(tmp.im, dst[0].im, src[0].im, src[1].im);
dst[1] = tmp;
}
static void TX_NAME(ff_tx_fft4_ns)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
TXSample t1, t2, t3, t4, t5, t6, t7, t8;
BF(t3, t1, src[0].re, src[1].re);
BF(t8, t6, src[3].re, src[2].re);
BF(dst[2].re, dst[0].re, t1, t6);
BF(t4, t2, src[0].im, src[1].im);
BF(t7, t5, src[2].im, src[3].im);
BF(dst[3].im, dst[1].im, t4, t8);
BF(dst[3].re, dst[1].re, t3, t7);
BF(dst[2].im, dst[0].im, t2, t5);
}
static void TX_NAME(ff_tx_fft8_ns)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
TXUSample t1, t2, t3, t4, t5, t6, r0, i0, r1, i1;
const TXSample cos = TX_TAB(ff_tx_tab_8)[1];
TX_NAME(ff_tx_fft4_ns)(s, dst, src, stride);
BF(t1, dst[5].re, src[4].re, -src[5].re);
BF(t2, dst[5].im, src[4].im, -src[5].im);
BF(t5, dst[7].re, src[6].re, -src[7].re);
BF(t6, dst[7].im, src[6].im, -src[7].im);
BUTTERFLIES(dst[0], dst[2], dst[4], dst[6]);
TRANSFORM(dst[1], dst[3], dst[5], dst[7], cos, cos);
}
static void TX_NAME(ff_tx_fft16_ns)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
const TXSample *cos = TX_TAB(ff_tx_tab_16);
TXUSample t1, t2, t3, t4, t5, t6, r0, i0, r1, i1;
TXSample cos_16_1 = cos[1];
TXSample cos_16_2 = cos[2];
TXSample cos_16_3 = cos[3];
TX_NAME(ff_tx_fft8_ns)(s, dst + 0, src + 0, stride);
TX_NAME(ff_tx_fft4_ns)(s, dst + 8, src + 8, stride);
TX_NAME(ff_tx_fft4_ns)(s, dst + 12, src + 12, stride);
t1 = dst[ 8].re;
t2 = dst[ 8].im;
t5 = dst[12].re;
t6 = dst[12].im;
BUTTERFLIES(dst[0], dst[4], dst[8], dst[12]);
TRANSFORM(dst[ 2], dst[ 6], dst[10], dst[14], cos_16_2, cos_16_2);
TRANSFORM(dst[ 1], dst[ 5], dst[ 9], dst[13], cos_16_1, cos_16_3);
TRANSFORM(dst[ 3], dst[ 7], dst[11], dst[15], cos_16_3, cos_16_1);
}
DECL_SR_CODELET_DEF(2)
DECL_SR_CODELET_DEF(4)
DECL_SR_CODELET_DEF(8)
DECL_SR_CODELET_DEF(16)
DECL_SR_CODELET(32,16,8)
DECL_SR_CODELET(64,32,16)
DECL_SR_CODELET(128,64,32)
DECL_SR_CODELET(256,128,64)
DECL_SR_CODELET(512,256,128)
DECL_SR_CODELET(1024,512,256)
DECL_SR_CODELET(2048,1024,512)
DECL_SR_CODELET(4096,2048,1024)
DECL_SR_CODELET(8192,4096,2048)
DECL_SR_CODELET(16384,8192,4096)
DECL_SR_CODELET(32768,16384,8192)
DECL_SR_CODELET(65536,32768,16384)
DECL_SR_CODELET(131072,65536,32768)
DECL_SR_CODELET(262144,131072,65536)
DECL_SR_CODELET(524288,262144,131072)
DECL_SR_CODELET(1048576,524288,262144)
DECL_SR_CODELET(2097152,1048576,524288)
static av_cold int TX_NAME(ff_tx_fft_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret;
int is_inplace = !!(flags & AV_TX_INPLACE);
FFTXCodeletOptions sub_opts = {
.map_dir = is_inplace ? FF_TX_MAP_SCATTER : FF_TX_MAP_GATHER,
};
flags &= ~FF_TX_OUT_OF_PLACE; /* We want the subtransform to be */
flags |= AV_TX_INPLACE; /* in-place */
flags |= FF_TX_PRESHUFFLE; /* This function handles the permute step */
if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts, len, inv, scale)))
return ret;
if (is_inplace && (ret = ff_tx_gen_inplace_map(s, len)))
return ret;
return 0;
}
static av_cold int TX_NAME(ff_tx_fft_inplace_small_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
if (!(s->tmp = av_malloc(len*sizeof(*s->tmp))))
return AVERROR(ENOMEM);
flags &= ~AV_TX_INPLACE;
return TX_NAME(ff_tx_fft_init)(s, cd, flags, opts, len, inv, scale);
}
static void TX_NAME(ff_tx_fft)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst1 = s->flags & AV_TX_INPLACE ? s->tmp : _dst;
TXComplex *dst2 = _dst;
int *map = s->sub[0].map;
int len = s->len;
/* Compilers can't vectorize this anyway without assuming AVX2, which they
* generally don't, at least without -march=native -mtune=native */
for (int i = 0; i < len; i++)
dst1[i] = src[map[i]];
s->fn[0](&s->sub[0], dst2, dst1, stride);
}
static void TX_NAME(ff_tx_fft_inplace)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
TXComplex tmp;
const int *map = s->sub->map;
const int *inplace_idx = s->map;
int src_idx, dst_idx;
src_idx = *inplace_idx++;
do {
tmp = src[src_idx];
dst_idx = map[src_idx];
do {
FFSWAP(TXComplex, tmp, src[dst_idx]);
dst_idx = map[dst_idx];
} while (dst_idx != src_idx); /* Can be > as well, but was less predictable */
src[dst_idx] = tmp;
} while ((src_idx = *inplace_idx++));
s->fn[0](&s->sub[0], dst, src, stride);
}
static const FFTXCodelet TX_NAME(ff_tx_fft_def) = {
.name = TX_NAME_STR("fft"),
.function = TX_NAME(ff_tx_fft),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE,
.factors[0] = TX_FACTOR_ANY,
.nb_factors = 1,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_fft_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static const FFTXCodelet TX_NAME(ff_tx_fft_inplace_small_def) = {
.name = TX_NAME_STR("fft_inplace_small"),
.function = TX_NAME(ff_tx_fft),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | AV_TX_INPLACE,
.factors[0] = TX_FACTOR_ANY,
.nb_factors = 1,
.min_len = 2,
.max_len = 65536,
.init = TX_NAME(ff_tx_fft_inplace_small_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE - 256,
};
static const FFTXCodelet TX_NAME(ff_tx_fft_inplace_def) = {
.name = TX_NAME_STR("fft_inplace"),
.function = TX_NAME(ff_tx_fft_inplace),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | AV_TX_INPLACE,
.factors[0] = TX_FACTOR_ANY,
.nb_factors = 1,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_fft_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE - 512,
};
static av_cold int TX_NAME(ff_tx_fft_init_naive_small)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
const double phase = s->inv ? 2.0*M_PI/len : -2.0*M_PI/len;
if (!(s->exp = av_malloc(len*len*sizeof(*s->exp))))
return AVERROR(ENOMEM);
for (int i = 0; i < len; i++) {
for (int j = 0; j < len; j++) {
const double factor = phase*i*j;
s->exp[i*j] = (TXComplex){
RESCALE(cos(factor)),
RESCALE(sin(factor)),
};
}
}
return 0;
}
static void TX_NAME(ff_tx_fft_naive)(AVTXContext *s, void *_dst, void *_src,
ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
const int n = s->len;
double phase = s->inv ? 2.0*M_PI/n : -2.0*M_PI/n;
stride /= sizeof(*dst);
for (int i = 0; i < n; i++) {
TXComplex tmp = { 0 };
for (int j = 0; j < n; j++) {
const double factor = phase*i*j;
const TXComplex mult = {
RESCALE(cos(factor)),
RESCALE(sin(factor)),
};
TXComplex res;
CMUL3(res, src[j], mult);
tmp.re += res.re;
tmp.im += res.im;
}
dst[i*stride] = tmp;
}
}
static void TX_NAME(ff_tx_fft_naive_small)(AVTXContext *s, void *_dst, void *_src,
ptrdiff_t stride)
{
TXComplex *src = _src;
TXComplex *dst = _dst;
const int n = s->len;
stride /= sizeof(*dst);
for (int i = 0; i < n; i++) {
TXComplex tmp = { 0 };
for (int j = 0; j < n; j++) {
TXComplex res;
const TXComplex mult = s->exp[i*j];
CMUL3(res, src[j], mult);
tmp.re += res.re;
tmp.im += res.im;
}
dst[i*stride] = tmp;
}
}
static const FFTXCodelet TX_NAME(ff_tx_fft_naive_small_def) = {
.name = TX_NAME_STR("fft_naive_small"),
.function = TX_NAME(ff_tx_fft_naive_small),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE,
.factors[0] = TX_FACTOR_ANY,
.nb_factors = 1,
.min_len = 2,
.max_len = 1024,
.init = TX_NAME(ff_tx_fft_init_naive_small),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_MIN/2,
};
static const FFTXCodelet TX_NAME(ff_tx_fft_naive_def) = {
.name = TX_NAME_STR("fft_naive"),
.function = TX_NAME(ff_tx_fft_naive),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE,
.factors[0] = TX_FACTOR_ANY,
.nb_factors = 1,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = NULL,
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_MIN,
};
static av_cold int TX_NAME(ff_tx_fft_pfa_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret, *tmp, ps = flags & FF_TX_PRESHUFFLE;
FFTXCodeletOptions sub_opts = { .map_dir = FF_TX_MAP_GATHER };
size_t extra_tmp_len = 0;
int len_list[TX_MAX_DECOMPOSITIONS];
if ((ret = ff_tx_decompose_length(len_list, TX_TYPE(FFT), len, inv)) < 0)
return ret;
/* Two iterations to test both orderings. */
for (int i = 0; i < ret; i++) {
int len1 = len_list[i];
int len2 = len / len1;
/* Our ptwo transforms don't support striding the output. */
if (len2 & (len2 - 1))
FFSWAP(int, len1, len2);
ff_tx_clear_ctx(s);
/* First transform */
sub_opts.map_dir = FF_TX_MAP_GATHER;
flags &= ~AV_TX_INPLACE;
flags |= FF_TX_OUT_OF_PLACE;
flags |= FF_TX_PRESHUFFLE; /* This function handles the permute step */
ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
len1, inv, scale);
if (ret == AVERROR(ENOMEM)) {
return ret;
} else if (ret < 0) { /* Try again without a preshuffle flag */
flags &= ~FF_TX_PRESHUFFLE;
ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
len1, inv, scale);
if (ret == AVERROR(ENOMEM))
return ret;
else if (ret < 0)
continue;
}
/* Second transform. */
sub_opts.map_dir = FF_TX_MAP_SCATTER;
flags |= FF_TX_PRESHUFFLE;
retry:
flags &= ~FF_TX_OUT_OF_PLACE;
flags |= AV_TX_INPLACE;
ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
len2, inv, scale);
if (ret == AVERROR(ENOMEM)) {
return ret;
} else if (ret < 0) { /* Try again with an out-of-place transform */
flags |= FF_TX_OUT_OF_PLACE;
flags &= ~AV_TX_INPLACE;
ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
len2, inv, scale);
if (ret == AVERROR(ENOMEM)) {
return ret;
} else if (ret < 0) {
if (flags & FF_TX_PRESHUFFLE) { /* Retry again without a preshuf flag */
flags &= ~FF_TX_PRESHUFFLE;
goto retry;
} else {
continue;
}
}
}
/* Success */
break;
}
/* If nothing was sucessful, error out */
if (ret < 0)
return ret;
/* Generate PFA map */
if ((ret = ff_tx_gen_compound_mapping(s, opts, 0,
s->sub[0].len, s->sub[1].len)))
return ret;
if (!(s->tmp = av_malloc(len*sizeof(*s->tmp))))
return AVERROR(ENOMEM);
/* Flatten input map */
tmp = (int *)s->tmp;
for (int k = 0; k < len; k += s->sub[0].len) {
memcpy(tmp, &s->map[k], s->sub[0].len*sizeof(*tmp));
for (int i = 0; i < s->sub[0].len; i++)
s->map[k + i] = tmp[s->sub[0].map[i]];
}
/* Only allocate extra temporary memory if we need it */
if (!(s->sub[1].flags & AV_TX_INPLACE))
extra_tmp_len = len;
else if (!ps)
extra_tmp_len = s->sub[0].len;
if (extra_tmp_len && !(s->exp = av_malloc(extra_tmp_len*sizeof(*s->exp))))
return AVERROR(ENOMEM);
return 0;
}
static void TX_NAME(ff_tx_fft_pfa)(AVTXContext *s, void *_out,
void *_in, ptrdiff_t stride)
{
const int n = s->sub[0].len, m = s->sub[1].len, l = s->len;
const int *in_map = s->map, *out_map = in_map + l;
const int *sub_map = s->sub[1].map;
TXComplex *tmp1 = s->sub[1].flags & AV_TX_INPLACE ? s->tmp : s->exp;
TXComplex *in = _in, *out = _out;
stride /= sizeof(*out);
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++)
s->exp[j] = in[in_map[i*n + j]];
s->fn[0](&s->sub[0], &s->tmp[sub_map[i]], s->exp, m*sizeof(TXComplex));
}
for (int i = 0; i < n; i++)
s->fn[1](&s->sub[1], &tmp1[m*i], &s->tmp[m*i], sizeof(TXComplex));
for (int i = 0; i < l; i++)
out[i*stride] = tmp1[out_map[i]];
}
static void TX_NAME(ff_tx_fft_pfa_ns)(AVTXContext *s, void *_out,
void *_in, ptrdiff_t stride)
{
const int n = s->sub[0].len, m = s->sub[1].len, l = s->len;
const int *in_map = s->map, *out_map = in_map + l;
const int *sub_map = s->sub[1].map;
TXComplex *tmp1 = s->sub[1].flags & AV_TX_INPLACE ? s->tmp : s->exp;
TXComplex *in = _in, *out = _out;
stride /= sizeof(*out);
for (int i = 0; i < m; i++)
s->fn[0](&s->sub[0], &s->tmp[sub_map[i]], &in[i*n], m*sizeof(TXComplex));
for (int i = 0; i < n; i++)
s->fn[1](&s->sub[1], &tmp1[m*i], &s->tmp[m*i], sizeof(TXComplex));
for (int i = 0; i < l; i++)
out[i*stride] = tmp1[out_map[i]];
}
static const FFTXCodelet TX_NAME(ff_tx_fft_pfa_def) = {
.name = TX_NAME_STR("fft_pfa"),
.function = TX_NAME(ff_tx_fft_pfa),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE,
.factors = { 7, 5, 3, 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2*3,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_fft_pfa_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static const FFTXCodelet TX_NAME(ff_tx_fft_pfa_ns_def) = {
.name = TX_NAME_STR("fft_pfa_ns"),
.function = TX_NAME(ff_tx_fft_pfa_ns),
.type = TX_TYPE(FFT),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE |
FF_TX_PRESHUFFLE,
.factors = { 7, 5, 3, 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2*3,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_fft_pfa_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static av_cold int TX_NAME(ff_tx_mdct_naive_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
s->scale_d = *((SCALE_TYPE *)scale);
s->scale_f = s->scale_d;
return 0;
}
static void TX_NAME(ff_tx_mdct_naive_fwd)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXSample *src = _src;
TXSample *dst = _dst;
double scale = s->scale_d;
int len = s->len;
const double phase = M_PI/(4.0*len);
stride /= sizeof(*dst);
for (int i = 0; i < len; i++) {
double sum = 0.0;
for (int j = 0; j < len*2; j++) {
int a = (2*j + 1 + len) * (2*i + 1);
sum += UNSCALE(src[j]) * cos(a * phase);
}
dst[i*stride] = RESCALE(sum*scale);
}
}
static void TX_NAME(ff_tx_mdct_naive_inv)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXSample *src = _src;
TXSample *dst = _dst;
double scale = s->scale_d;
int len = s->len >> 1;
int len2 = len*2;
const double phase = M_PI/(4.0*len2);
stride /= sizeof(*src);
for (int i = 0; i < len; i++) {
double sum_d = 0.0;
double sum_u = 0.0;
double i_d = phase * (4*len - 2*i - 1);
double i_u = phase * (3*len2 + 2*i + 1);
for (int j = 0; j < len2; j++) {
double a = (2 * j + 1);
double a_d = cos(a * i_d);
double a_u = cos(a * i_u);
double val = UNSCALE(src[j*stride]);
sum_d += a_d * val;
sum_u += a_u * val;
}
dst[i + 0] = RESCALE( sum_d*scale);
dst[i + len] = RESCALE(-sum_u*scale);
}
}
static const FFTXCodelet TX_NAME(ff_tx_mdct_naive_fwd_def) = {
.name = TX_NAME_STR("mdct_naive_fwd"),
.function = TX_NAME(ff_tx_mdct_naive_fwd),
.type = TX_TYPE(MDCT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY,
.factors = { 2, TX_FACTOR_ANY }, /* MDCTs need an even length */
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_mdct_naive_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_MIN,
};
static const FFTXCodelet TX_NAME(ff_tx_mdct_naive_inv_def) = {
.name = TX_NAME_STR("mdct_naive_inv"),
.function = TX_NAME(ff_tx_mdct_naive_inv),
.type = TX_TYPE(MDCT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY,
.factors = { 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_mdct_naive_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_MIN,
};
static av_cold int TX_NAME(ff_tx_mdct_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret;
FFTXCodeletOptions sub_opts = {
.map_dir = !inv ? FF_TX_MAP_SCATTER : FF_TX_MAP_GATHER,
};
s->scale_d = *((SCALE_TYPE *)scale);
s->scale_f = s->scale_d;
flags &= ~FF_TX_OUT_OF_PLACE; /* We want the subtransform to be */
flags |= AV_TX_INPLACE; /* in-place */
flags |= FF_TX_PRESHUFFLE; /* First try with an in-place transform */
if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts, len >> 1,
inv, scale))) {
flags &= ~FF_TX_PRESHUFFLE; /* Now try with a generic FFT */
if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts, len >> 1,
inv, scale)))
return ret;
}
s->map = av_malloc((len >> 1)*sizeof(*s->map));
if (!s->map)
return AVERROR(ENOMEM);
/* If we need to preshuffle copy the map from the subcontext */
if (s->sub[0].flags & FF_TX_PRESHUFFLE) {
memcpy(s->map, s->sub->map, (len >> 1)*sizeof(*s->map));
} else {
for (int i = 0; i < len >> 1; i++)
s->map[i] = i;
}
if ((ret = TX_TAB(ff_tx_mdct_gen_exp)(s, inv ? s->map : NULL)))
return ret;
/* Saves a multiply in a hot path. */
if (inv)
for (int i = 0; i < (s->len >> 1); i++)
s->map[i] <<= 1;
return 0;
}
static void TX_NAME(ff_tx_mdct_fwd)(AVTXContext *s, void *_dst, void *_src,
ptrdiff_t stride)
{
TXSample *src = _src, *dst = _dst;
TXComplex *exp = s->exp, tmp, *z = _dst;
const int len2 = s->len >> 1;
const int len4 = s->len >> 2;
const int len3 = len2 * 3;
const int *sub_map = s->map;
stride /= sizeof(*dst);
for (int i = 0; i < len2; i++) { /* Folding and pre-reindexing */
const int k = 2*i;
const int idx = sub_map[i];
if (k < len2) {
tmp.re = FOLD(-src[ len2 + k], src[1*len2 - 1 - k]);
tmp.im = FOLD(-src[ len3 + k], -src[1*len3 - 1 - k]);
} else {
tmp.re = FOLD(-src[ len2 + k], -src[5*len2 - 1 - k]);
tmp.im = FOLD( src[-len2 + k], -src[1*len3 - 1 - k]);
}
CMUL(z[idx].im, z[idx].re, tmp.re, tmp.im, exp[i].re, exp[i].im);
}
s->fn[0](&s->sub[0], z, z, sizeof(TXComplex));
for (int i = 0; i < len4; i++) {
const int i0 = len4 + i, i1 = len4 - i - 1;
TXComplex src1 = { z[i1].re, z[i1].im };
TXComplex src0 = { z[i0].re, z[i0].im };
CMUL(dst[2*i1*stride + stride], dst[2*i0*stride], src0.re, src0.im,
exp[i0].im, exp[i0].re);
CMUL(dst[2*i0*stride + stride], dst[2*i1*stride], src1.re, src1.im,
exp[i1].im, exp[i1].re);
}
}
static void TX_NAME(ff_tx_mdct_inv)(AVTXContext *s, void *_dst, void *_src,
ptrdiff_t stride)
{
TXComplex *z = _dst, *exp = s->exp;
const TXSample *src = _src, *in1, *in2;
const int len2 = s->len >> 1;
const int len4 = s->len >> 2;
const int *sub_map = s->map;
stride /= sizeof(*src);
in1 = src;
in2 = src + ((len2*2) - 1) * stride;
for (int i = 0; i < len2; i++) {
int k = sub_map[i];
TXComplex tmp = { in2[-k*stride], in1[k*stride] };
CMUL3(z[i], tmp, exp[i]);
}
s->fn[0](&s->sub[0], z, z, sizeof(TXComplex));
exp += len2;
for (int i = 0; i < len4; i++) {
const int i0 = len4 + i, i1 = len4 - i - 1;
TXComplex src1 = { z[i1].im, z[i1].re };
TXComplex src0 = { z[i0].im, z[i0].re };
CMUL(z[i1].re, z[i0].im, src1.re, src1.im, exp[i1].im, exp[i1].re);
CMUL(z[i0].re, z[i1].im, src0.re, src0.im, exp[i0].im, exp[i0].re);
}
}
static const FFTXCodelet TX_NAME(ff_tx_mdct_fwd_def) = {
.name = TX_NAME_STR("mdct_fwd"),
.function = TX_NAME(ff_tx_mdct_fwd),
.type = TX_TYPE(MDCT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY,
.factors = { 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_mdct_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static const FFTXCodelet TX_NAME(ff_tx_mdct_inv_def) = {
.name = TX_NAME_STR("mdct_inv"),
.function = TX_NAME(ff_tx_mdct_inv),
.type = TX_TYPE(MDCT),
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY,
.factors = { 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_mdct_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static av_cold int TX_NAME(ff_tx_mdct_inv_full_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret;
s->scale_d = *((SCALE_TYPE *)scale);
s->scale_f = s->scale_d;
flags &= ~AV_TX_FULL_IMDCT;
if ((ret = ff_tx_init_subtx(s, TX_TYPE(MDCT), flags, NULL, len, 1, scale)))
return ret;
return 0;
}
static void TX_NAME(ff_tx_mdct_inv_full)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
int len = s->len << 1;
int len2 = len >> 1;
int len4 = len >> 2;
TXSample *dst = _dst;
s->fn[0](&s->sub[0], dst + len4, _src, stride);
stride /= sizeof(*dst);
for (int i = 0; i < len4; i++) {
dst[ i*stride] = -dst[(len2 - i - 1)*stride];
dst[(len - i - 1)*stride] = dst[(len2 + i + 0)*stride];
}
}
static const FFTXCodelet TX_NAME(ff_tx_mdct_inv_full_def) = {
.name = TX_NAME_STR("mdct_inv_full"),
.function = TX_NAME(ff_tx_mdct_inv_full),
.type = TX_TYPE(MDCT),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE |
FF_TX_OUT_OF_PLACE | AV_TX_FULL_IMDCT,
.factors = { 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_mdct_inv_full_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static av_cold int TX_NAME(ff_tx_mdct_pfa_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret, sub_len;
FFTXCodeletOptions sub_opts = { .map_dir = FF_TX_MAP_SCATTER };
len >>= 1;
sub_len = len / cd->factors[0];
s->scale_d = *((SCALE_TYPE *)scale);
s->scale_f = s->scale_d;
flags &= ~FF_TX_OUT_OF_PLACE; /* We want the subtransform to be */
flags |= AV_TX_INPLACE; /* in-place */
flags |= FF_TX_PRESHUFFLE; /* This function handles the permute step */
if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
sub_len, inv, scale)))
return ret;
if ((ret = ff_tx_gen_compound_mapping(s, opts, s->inv, cd->factors[0], sub_len)))
return ret;
/* Our 15-point transform is also a compound one, so embed its input map */
if (cd->factors[0] == 15)
TX_EMBED_INPUT_PFA_MAP(s->map, len, 3, 5);
if ((ret = TX_TAB(ff_tx_mdct_gen_exp)(s, inv ? s->map : NULL)))
return ret;
/* Saves multiplies in loops. */
for (int i = 0; i < len; i++)
s->map[i] <<= 1;
if (!(s->tmp = av_malloc(len*sizeof(*s->tmp))))
return AVERROR(ENOMEM);
TX_TAB(ff_tx_init_tabs)(len / sub_len);
return 0;
}
#define DECL_COMP_IMDCT(N) \
static void TX_NAME(ff_tx_mdct_pfa_##N##xM_inv)(AVTXContext *s, void *_dst, \
void *_src, ptrdiff_t stride) \
{ \
TXComplex fft##N##in[N]; \
TXComplex *z = _dst, *exp = s->exp; \
const TXSample *src = _src, *in1, *in2; \
const int len4 = s->len >> 2; \
const int len2 = s->len >> 1; \
const int m = s->sub->len; \
const int *in_map = s->map, *out_map = in_map + N*m; \
const int *sub_map = s->sub->map; \
\
stride /= sizeof(*src); /* To convert it from bytes */ \
in1 = src; \
in2 = src + ((N*m*2) - 1) * stride; \
\
for (int i = 0; i < len2; i += N) { \
for (int j = 0; j < N; j++) { \
const int k = in_map[j]; \
TXComplex tmp = { in2[-k*stride], in1[k*stride] }; \
CMUL3(fft##N##in[j], tmp, exp[j]); \
} \
fft##N(s->tmp + *(sub_map++), fft##N##in, m); \
exp += N; \
in_map += N; \
} \
\
for (int i = 0; i < N; i++) \
s->fn[0](&s->sub[0], s->tmp + m*i, s->tmp + m*i, sizeof(TXComplex)); \
\
for (int i = 0; i < len4; i++) { \
const int i0 = len4 + i, i1 = len4 - i - 1; \
const int s0 = out_map[i0], s1 = out_map[i1]; \
TXComplex src1 = { s->tmp[s1].im, s->tmp[s1].re }; \
TXComplex src0 = { s->tmp[s0].im, s->tmp[s0].re }; \
\
CMUL(z[i1].re, z[i0].im, src1.re, src1.im, exp[i1].im, exp[i1].re); \
CMUL(z[i0].re, z[i1].im, src0.re, src0.im, exp[i0].im, exp[i0].re); \
} \
} \
\
static const FFTXCodelet TX_NAME(ff_tx_mdct_pfa_##N##xM_inv_def) = { \
.name = TX_NAME_STR("mdct_pfa_" #N "xM_inv"), \
.function = TX_NAME(ff_tx_mdct_pfa_##N##xM_inv), \
.type = TX_TYPE(MDCT), \
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY, \
.factors = { N, TX_FACTOR_ANY }, \
.nb_factors = 2, \
.min_len = N*2, \
.max_len = TX_LEN_UNLIMITED, \
.init = TX_NAME(ff_tx_mdct_pfa_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
DECL_COMP_IMDCT(3)
DECL_COMP_IMDCT(5)
DECL_COMP_IMDCT(7)
DECL_COMP_IMDCT(9)
DECL_COMP_IMDCT(15)
#define DECL_COMP_MDCT(N) \
static void TX_NAME(ff_tx_mdct_pfa_##N##xM_fwd)(AVTXContext *s, void *_dst, \
void *_src, ptrdiff_t stride) \
{ \
TXComplex fft##N##in[N]; \
TXSample *src = _src, *dst = _dst; \
TXComplex *exp = s->exp, tmp; \
const int m = s->sub->len; \
const int len4 = N*m; \
const int len3 = len4 * 3; \
const int len8 = s->len >> 2; \
const int *in_map = s->map, *out_map = in_map + N*m; \
const int *sub_map = s->sub->map; \
\
stride /= sizeof(*dst); \
\
for (int i = 0; i < m; i++) { /* Folding and pre-reindexing */ \
for (int j = 0; j < N; j++) { \
const int k = in_map[i*N + j]; \
if (k < len4) { \
tmp.re = FOLD(-src[ len4 + k], src[1*len4 - 1 - k]); \
tmp.im = FOLD(-src[ len3 + k], -src[1*len3 - 1 - k]); \
} else { \
tmp.re = FOLD(-src[ len4 + k], -src[5*len4 - 1 - k]); \
tmp.im = FOLD( src[-len4 + k], -src[1*len3 - 1 - k]); \
} \
CMUL(fft##N##in[j].im, fft##N##in[j].re, tmp.re, tmp.im, \
exp[k >> 1].re, exp[k >> 1].im); \
} \
fft##N(s->tmp + sub_map[i], fft##N##in, m); \
} \
\
for (int i = 0; i < N; i++) \
s->fn[0](&s->sub[0], s->tmp + m*i, s->tmp + m*i, sizeof(TXComplex)); \
\
for (int i = 0; i < len8; i++) { \
const int i0 = len8 + i, i1 = len8 - i - 1; \
const int s0 = out_map[i0], s1 = out_map[i1]; \
TXComplex src1 = { s->tmp[s1].re, s->tmp[s1].im }; \
TXComplex src0 = { s->tmp[s0].re, s->tmp[s0].im }; \
\
CMUL(dst[2*i1*stride + stride], dst[2*i0*stride], src0.re, src0.im, \
exp[i0].im, exp[i0].re); \
CMUL(dst[2*i0*stride + stride], dst[2*i1*stride], src1.re, src1.im, \
exp[i1].im, exp[i1].re); \
} \
} \
\
static const FFTXCodelet TX_NAME(ff_tx_mdct_pfa_##N##xM_fwd_def) = { \
.name = TX_NAME_STR("mdct_pfa_" #N "xM_fwd"), \
.function = TX_NAME(ff_tx_mdct_pfa_##N##xM_fwd), \
.type = TX_TYPE(MDCT), \
.flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY, \
.factors = { N, TX_FACTOR_ANY }, \
.nb_factors = 2, \
.min_len = N*2, \
.max_len = TX_LEN_UNLIMITED, \
.init = TX_NAME(ff_tx_mdct_pfa_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
DECL_COMP_MDCT(3)
DECL_COMP_MDCT(5)
DECL_COMP_MDCT(7)
DECL_COMP_MDCT(9)
DECL_COMP_MDCT(15)
static av_cold int TX_NAME(ff_tx_rdft_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret;
double f, m;
TXSample *tab;
uint64_t r2r = flags & AV_TX_REAL_TO_REAL;
int len4 = FFALIGN(len, 4) / 4;
s->scale_d = *((SCALE_TYPE *)scale);
s->scale_f = s->scale_d;
flags &= ~(AV_TX_REAL_TO_REAL | AV_TX_REAL_TO_IMAGINARY);
if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, NULL, len >> 1, inv, scale)))
return ret;
if (!(s->exp = av_mallocz((8 + 2*len4)*sizeof(*s->exp))))
return AVERROR(ENOMEM);
tab = (TXSample *)s->exp;
f = 2*M_PI/len;
m = (inv ? 2*s->scale_d : s->scale_d);
*tab++ = RESCALE((inv ? 0.5 : 1.0) * m);
*tab++ = RESCALE(inv ? 0.5*m : 1.0*m);
*tab++ = RESCALE( m);
*tab++ = RESCALE(-m);
*tab++ = RESCALE( (0.5 - 0.0) * m);
if (r2r)
*tab++ = 1 / s->scale_f;
else
*tab++ = RESCALE( (0.0 - 0.5) * m);
*tab++ = RESCALE( (0.5 - inv) * m);
*tab++ = RESCALE(-(0.5 - inv) * m);
for (int i = 0; i < len4; i++)
*tab++ = RESCALE(cos(i*f));
tab = ((TXSample *)s->exp) + len4 + 8;
for (int i = 0; i < len4; i++)
*tab++ = RESCALE(cos(((len - i*4)/4.0)*f)) * (inv ? 1 : -1);
return 0;
}
#define DECL_RDFT(n, inv) \
static void TX_NAME(ff_tx_rdft_ ##n)(AVTXContext *s, void *_dst, \
void *_src, ptrdiff_t stride) \
{ \
const int len2 = s->len >> 1; \
const int len4 = s->len >> 2; \
const TXSample *fact = (void *)s->exp; \
const TXSample *tcos = fact + 8; \
const TXSample *tsin = tcos + len4; \
TXComplex *data = inv ? _src : _dst; \
TXComplex t[3]; \
\
if (!inv) \
s->fn[0](&s->sub[0], data, _src, sizeof(TXComplex)); \
else \
data[0].im = data[len2].re; \
\
/* The DC value's both components are real, but we need to change them \
* into complex values. Also, the middle of the array is special-cased. \
* These operations can be done before or after the loop. */ \
t[0].re = data[0].re; \
data[0].re = t[0].re + data[0].im; \
data[0].im = t[0].re - data[0].im; \
data[ 0].re = MULT(fact[0], data[ 0].re); \
data[ 0].im = MULT(fact[1], data[ 0].im); \
data[len4].re = MULT(fact[2], data[len4].re); \
data[len4].im = MULT(fact[3], data[len4].im); \
\
for (int i = 1; i < len4; i++) { \
/* Separate even and odd FFTs */ \
t[0].re = MULT(fact[4], (data[i].re + data[len2 - i].re)); \
t[0].im = MULT(fact[5], (data[i].im - data[len2 - i].im)); \
t[1].re = MULT(fact[6], (data[i].im + data[len2 - i].im)); \
t[1].im = MULT(fact[7], (data[i].re - data[len2 - i].re)); \
\
/* Apply twiddle factors to the odd FFT and add to the even FFT */ \
CMUL(t[2].re, t[2].im, t[1].re, t[1].im, tcos[i], tsin[i]); \
\
data[ i].re = t[0].re + t[2].re; \
data[ i].im = t[2].im - t[0].im; \
data[len2 - i].re = t[0].re - t[2].re; \
data[len2 - i].im = t[2].im + t[0].im; \
} \
\
if (inv) { \
s->fn[0](&s->sub[0], _dst, data, sizeof(TXComplex)); \
} else { \
/* Move [0].im to the last position, as convention requires */ \
data[len2].re = data[0].im; \
data[ 0].im = data[len2].im = 0; \
} \
} \
\
static const FFTXCodelet TX_NAME(ff_tx_rdft_ ##n## _def) = { \
.name = TX_NAME_STR("rdft_" #n), \
.function = TX_NAME(ff_tx_rdft_ ##n), \
.type = TX_TYPE(RDFT), \
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE | \
(inv ? FF_TX_INVERSE_ONLY : FF_TX_FORWARD_ONLY), \
.factors = { 4, TX_FACTOR_ANY }, \
.nb_factors = 2, \
.min_len = 4, \
.max_len = TX_LEN_UNLIMITED, \
.init = TX_NAME(ff_tx_rdft_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
DECL_RDFT(r2c, 0)
DECL_RDFT(c2r, 1)
#define DECL_RDFT_HALF(n, mode, mod2) \
static void TX_NAME(ff_tx_rdft_ ##n)(AVTXContext *s, void *_dst, \
void *_src, ptrdiff_t stride) \
{ \
const int len = s->len; \
const int len2 = len >> 1; \
const int len4 = len >> 2; \
const int aligned_len4 = FFALIGN(len, 4)/4; \
const TXSample *fact = (void *)s->exp; \
const TXSample *tcos = fact + 8; \
const TXSample *tsin = tcos + aligned_len4; \
TXComplex *data = _dst; \
TXSample *out = _dst; /* Half-complex is forward-only */ \
TXSample tmp_dc; \
av_unused TXSample tmp_mid; \
TXSample tmp[4]; \
TXComplex sf, sl; \
\
s->fn[0](&s->sub[0], _dst, _src, sizeof(TXComplex)); \
\
tmp_dc = data[0].re; \
data[ 0].re = tmp_dc + data[0].im; \
tmp_dc = tmp_dc - data[0].im; \
\
data[ 0].re = MULT(fact[0], data[ 0].re); \
tmp_dc = MULT(fact[1], tmp_dc); \
data[len4].re = MULT(fact[2], data[len4].re); \
\
if (!mod2) { \
data[len4].im = MULT(fact[3], data[len4].im); \
} else { \
sf = data[len4]; \
sl = data[len4 + 1]; \
if (mode == AV_TX_REAL_TO_REAL) \
tmp[0] = MULT(fact[4], (sf.re + sl.re)); \
else \
tmp[0] = MULT(fact[5], (sf.im - sl.im)); \
tmp[1] = MULT(fact[6], (sf.im + sl.im)); \
tmp[2] = MULT(fact[7], (sf.re - sl.re)); \
\
if (mode == AV_TX_REAL_TO_REAL) { \
tmp[3] = tmp[1]*tcos[len4] - tmp[2]*tsin[len4]; \
tmp_mid = (tmp[0] - tmp[3]); \
} else { \
tmp[3] = tmp[1]*tsin[len4] + tmp[2]*tcos[len4]; \
tmp_mid = (tmp[0] + tmp[3]); \
} \
} \
\
/* NOTE: unrolling this breaks non-mod8 lengths */ \
for (int i = 1; i <= len4; i++) { \
TXSample tmp[4]; \
TXComplex sf = data[i]; \
TXComplex sl = data[len2 - i]; \
\
if (mode == AV_TX_REAL_TO_REAL) \
tmp[0] = MULT(fact[4], (sf.re + sl.re)); \
else \
tmp[0] = MULT(fact[5], (sf.im - sl.im)); \
\
tmp[1] = MULT(fact[6], (sf.im + sl.im)); \
tmp[2] = MULT(fact[7], (sf.re - sl.re)); \
\
if (mode == AV_TX_REAL_TO_REAL) { \
tmp[3] = tmp[1]*tcos[i] - tmp[2]*tsin[i]; \
out[i] = (tmp[0] + tmp[3]); \
out[len - i] = (tmp[0] - tmp[3]); \
} else { \
tmp[3] = tmp[1]*tsin[i] + tmp[2]*tcos[i]; \
out[i - 1] = (tmp[3] - tmp[0]); \
out[len - i - 1] = (tmp[0] + tmp[3]); \
} \
} \
\
for (int i = 1; i < (len4 + (mode == AV_TX_REAL_TO_IMAGINARY)); i++) \
out[len2 - i] = out[len - i]; \
\
if (mode == AV_TX_REAL_TO_REAL) { \
out[len2] = tmp_dc; \
if (mod2) \
out[len4 + 1] = tmp_mid * fact[5]; \
} else if (mod2) { \
out[len4] = tmp_mid; \
} \
} \
\
static const FFTXCodelet TX_NAME(ff_tx_rdft_ ##n## _def) = { \
.name = TX_NAME_STR("rdft_" #n), \
.function = TX_NAME(ff_tx_rdft_ ##n), \
.type = TX_TYPE(RDFT), \
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE | mode | \
FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY, \
.factors = { 2 + 2*(!mod2), TX_FACTOR_ANY }, \
.nb_factors = 2, \
.min_len = 2 + 2*(!mod2), \
.max_len = TX_LEN_UNLIMITED, \
.init = TX_NAME(ff_tx_rdft_init), \
.cpu_flags = FF_TX_CPU_FLAGS_ALL, \
.prio = FF_TX_PRIO_BASE, \
};
DECL_RDFT_HALF(r2r, AV_TX_REAL_TO_REAL, 0)
DECL_RDFT_HALF(r2r_mod2, AV_TX_REAL_TO_REAL, 1)
DECL_RDFT_HALF(r2i, AV_TX_REAL_TO_IMAGINARY, 0)
DECL_RDFT_HALF(r2i_mod2, AV_TX_REAL_TO_IMAGINARY, 1)
static av_cold int TX_NAME(ff_tx_dct_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret;
double freq;
TXSample *tab;
SCALE_TYPE rsc = *((SCALE_TYPE *)scale);
if (inv) {
len *= 2;
s->len *= 2;
rsc *= 0.5;
}
if ((ret = ff_tx_init_subtx(s, TX_TYPE(RDFT), flags, NULL, len, inv, &rsc)))
return ret;
s->exp = av_malloc((len/2)*3*sizeof(TXSample));
if (!s->exp)
return AVERROR(ENOMEM);
tab = (TXSample *)s->exp;
freq = M_PI/(len*2);
for (int i = 0; i < len; i++)
tab[i] = RESCALE(cos(i*freq)*(!inv + 1));
if (inv) {
for (int i = 0; i < len/2; i++)
tab[len + i] = RESCALE(0.5 / sin((2*i + 1)*freq));
} else {
for (int i = 0; i < len/2; i++)
tab[len + i] = RESCALE(cos((len - 2*i - 1)*freq));
}
return 0;
}
static void TX_NAME(ff_tx_dctII)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXSample *dst = _dst;
TXSample *src = _src;
const int len = s->len;
const int len2 = len >> 1;
const TXSample *exp = (void *)s->exp;
TXSample next;
#ifdef TX_INT32
int64_t tmp1, tmp2;
#else
TXSample tmp1, tmp2;
#endif
for (int i = 0; i < len2; i++) {
TXSample in1 = src[i];
TXSample in2 = src[len - i - 1];
TXSample s = exp[len + i];
#ifdef TX_INT32
tmp1 = in1 + in2;
tmp2 = in1 - in2;
tmp1 >>= 1;
tmp2 *= s;
tmp2 = (tmp2 + 0x40000000) >> 31;
#else
tmp1 = (in1 + in2)*0.5;
tmp2 = (in1 - in2)*s;
#endif
src[i] = tmp1 + tmp2;
src[len - i - 1] = tmp1 - tmp2;
}
s->fn[0](&s->sub[0], dst, src, sizeof(TXComplex));
next = dst[len];
for (int i = len - 2; i > 0; i -= 2) {
TXSample tmp;
CMUL(tmp, dst[i], exp[len - i], exp[i], dst[i + 0], dst[i + 1]);
dst[i + 1] = next;
next += tmp;
}
#ifdef TX_INT32
tmp1 = ((int64_t)exp[0]) * ((int64_t)dst[0]);
dst[0] = (tmp1 + 0x40000000) >> 31;
#else
dst[0] = exp[0] * dst[0];
#endif
dst[1] = next;
}
static void TX_NAME(ff_tx_dctIII)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXSample *dst = _dst;
TXSample *src = _src;
const int len = s->len;
const int len2 = len >> 1;
const TXSample *exp = (void *)s->exp;
#ifdef TX_INT32
int64_t tmp1, tmp2 = src[len - 1];
tmp2 = (2*tmp2 + 0x40000000) >> 31;
#else
TXSample tmp1, tmp2 = 2*src[len - 1];
#endif
src[len] = tmp2;
for (int i = len - 2; i >= 2; i -= 2) {
TXSample val1 = src[i - 0];
TXSample val2 = src[i - 1] - src[i + 1];
CMUL(src[i + 1], src[i], exp[len - i], exp[i], val1, val2);
}
s->fn[0](&s->sub[0], dst, src, sizeof(float));
for (int i = 0; i < len2; i++) {
TXSample in1 = dst[i];
TXSample in2 = dst[len - i - 1];
TXSample c = exp[len + i];
tmp1 = in1 + in2;
tmp2 = in1 - in2;
tmp2 *= c;
#ifdef TX_INT32
tmp2 = (tmp2 + 0x40000000) >> 31;
#endif
dst[i] = tmp1 + tmp2;
dst[len - i - 1] = tmp1 - tmp2;
}
}
static const FFTXCodelet TX_NAME(ff_tx_dctII_def) = {
.name = TX_NAME_STR("dctII"),
.function = TX_NAME(ff_tx_dctII),
.type = TX_TYPE(DCT),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE |
FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY,
.factors = { 2, TX_FACTOR_ANY },
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_dct_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static const FFTXCodelet TX_NAME(ff_tx_dctIII_def) = {
.name = TX_NAME_STR("dctIII"),
.function = TX_NAME(ff_tx_dctIII),
.type = TX_TYPE(DCT),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE |
FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY,
.factors = { 2, TX_FACTOR_ANY },
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_dct_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static av_cold int TX_NAME(ff_tx_dcstI_init)(AVTXContext *s,
const FFTXCodelet *cd,
uint64_t flags,
FFTXCodeletOptions *opts,
int len, int inv,
const void *scale)
{
int ret;
SCALE_TYPE rsc = *((SCALE_TYPE *)scale);
if (inv) {
len *= 2;
s->len *= 2;
rsc *= 0.5;
}
/* We want a half-complex RDFT */
flags |= cd->type == TX_TYPE(DCT_I) ? AV_TX_REAL_TO_REAL :
AV_TX_REAL_TO_IMAGINARY;
if ((ret = ff_tx_init_subtx(s, TX_TYPE(RDFT), flags, NULL,
(len - 1 + 2*(cd->type == TX_TYPE(DST_I)))*2,
0, &rsc)))
return ret;
s->tmp = av_mallocz((len + 1)*2*sizeof(TXSample));
if (!s->tmp)
return AVERROR(ENOMEM);
return 0;
}
static void TX_NAME(ff_tx_dctI)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXSample *dst = _dst;
TXSample *src = _src;
const int len = s->len - 1;
TXSample *tmp = (TXSample *)s->tmp;
stride /= sizeof(TXSample);
for (int i = 0; i < len; i++)
tmp[i] = tmp[2*len - i] = src[i * stride];
tmp[len] = src[len * stride]; /* Middle */
s->fn[0](&s->sub[0], dst, tmp, sizeof(TXSample));
}
static void TX_NAME(ff_tx_dstI)(AVTXContext *s, void *_dst,
void *_src, ptrdiff_t stride)
{
TXSample *dst = _dst;
TXSample *src = _src;
const int len = s->len + 1;
TXSample *tmp = (void *)s->tmp;
stride /= sizeof(TXSample);
tmp[0] = 0;
for (int i = 1; i < len; i++) {
TXSample a = src[(i - 1) * stride];
tmp[i] = -a;
tmp[2*len - i] = a;
}
tmp[len] = 0; /* i == n, Nyquist */
s->fn[0](&s->sub[0], dst, tmp, sizeof(float));
}
static const FFTXCodelet TX_NAME(ff_tx_dctI_def) = {
.name = TX_NAME_STR("dctI"),
.function = TX_NAME(ff_tx_dctI),
.type = TX_TYPE(DCT_I),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE,
.factors = { 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_dcstI_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
static const FFTXCodelet TX_NAME(ff_tx_dstI_def) = {
.name = TX_NAME_STR("dstI"),
.function = TX_NAME(ff_tx_dstI),
.type = TX_TYPE(DST_I),
.flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE,
.factors = { 2, TX_FACTOR_ANY },
.nb_factors = 2,
.min_len = 2,
.max_len = TX_LEN_UNLIMITED,
.init = TX_NAME(ff_tx_dcstI_init),
.cpu_flags = FF_TX_CPU_FLAGS_ALL,
.prio = FF_TX_PRIO_BASE,
};
int TX_TAB(ff_tx_mdct_gen_exp)(AVTXContext *s, int *pre_tab)
{
int off = 0;
int len4 = s->len >> 1;
double scale = s->scale_d;
const double theta = (scale < 0 ? len4 : 0) + 1.0/8.0;
size_t alloc = pre_tab ? 2*len4 : len4;
if (!(s->exp = av_malloc_array(alloc, sizeof(*s->exp))))
return AVERROR(ENOMEM);
scale = sqrt(fabs(scale));
if (pre_tab)
off = len4;
for (int i = 0; i < len4; i++) {
const double alpha = M_PI_2 * (i + theta) / len4;
s->exp[off + i] = (TXComplex){ RESCALE(cos(alpha) * scale),
RESCALE(sin(alpha) * scale) };
}
if (pre_tab)
for (int i = 0; i < len4; i++)
s->exp[i] = s->exp[len4 + pre_tab[i]];
return 0;
}
const FFTXCodelet * const TX_NAME(ff_tx_codelet_list)[] = {
/* Split-Radix codelets */
&TX_NAME(ff_tx_fft2_ns_def),
&TX_NAME(ff_tx_fft4_ns_def),
&TX_NAME(ff_tx_fft8_ns_def),
&TX_NAME(ff_tx_fft16_ns_def),
&TX_NAME(ff_tx_fft32_ns_def),
&TX_NAME(ff_tx_fft64_ns_def),
&TX_NAME(ff_tx_fft128_ns_def),
&TX_NAME(ff_tx_fft256_ns_def),
&TX_NAME(ff_tx_fft512_ns_def),
&TX_NAME(ff_tx_fft1024_ns_def),
&TX_NAME(ff_tx_fft2048_ns_def),
&TX_NAME(ff_tx_fft4096_ns_def),
&TX_NAME(ff_tx_fft8192_ns_def),
&TX_NAME(ff_tx_fft16384_ns_def),
&TX_NAME(ff_tx_fft32768_ns_def),
&TX_NAME(ff_tx_fft65536_ns_def),
&TX_NAME(ff_tx_fft131072_ns_def),
&TX_NAME(ff_tx_fft262144_ns_def),
&TX_NAME(ff_tx_fft524288_ns_def),
&TX_NAME(ff_tx_fft1048576_ns_def),
&TX_NAME(ff_tx_fft2097152_ns_def),
/* Prime factor codelets */
&TX_NAME(ff_tx_fft3_ns_def),
&TX_NAME(ff_tx_fft5_ns_def),
&TX_NAME(ff_tx_fft7_ns_def),
&TX_NAME(ff_tx_fft9_ns_def),
&TX_NAME(ff_tx_fft15_ns_def),
/* We get these for free */
&TX_NAME(ff_tx_fft3_fwd_def),
&TX_NAME(ff_tx_fft5_fwd_def),
&TX_NAME(ff_tx_fft7_fwd_def),
&TX_NAME(ff_tx_fft9_fwd_def),
/* Standalone transforms */
&TX_NAME(ff_tx_fft_def),
&TX_NAME(ff_tx_fft_inplace_def),
&TX_NAME(ff_tx_fft_inplace_small_def),
&TX_NAME(ff_tx_fft_pfa_def),
&TX_NAME(ff_tx_fft_pfa_ns_def),
&TX_NAME(ff_tx_fft_naive_def),
&TX_NAME(ff_tx_fft_naive_small_def),
&TX_NAME(ff_tx_mdct_fwd_def),
&TX_NAME(ff_tx_mdct_inv_def),
&TX_NAME(ff_tx_mdct_pfa_3xM_fwd_def),
&TX_NAME(ff_tx_mdct_pfa_5xM_fwd_def),
&TX_NAME(ff_tx_mdct_pfa_7xM_fwd_def),
&TX_NAME(ff_tx_mdct_pfa_9xM_fwd_def),
&TX_NAME(ff_tx_mdct_pfa_15xM_fwd_def),
&TX_NAME(ff_tx_mdct_pfa_3xM_inv_def),
&TX_NAME(ff_tx_mdct_pfa_5xM_inv_def),
&TX_NAME(ff_tx_mdct_pfa_7xM_inv_def),
&TX_NAME(ff_tx_mdct_pfa_9xM_inv_def),
&TX_NAME(ff_tx_mdct_pfa_15xM_inv_def),
&TX_NAME(ff_tx_mdct_naive_fwd_def),
&TX_NAME(ff_tx_mdct_naive_inv_def),
&TX_NAME(ff_tx_mdct_inv_full_def),
&TX_NAME(ff_tx_rdft_r2c_def),
&TX_NAME(ff_tx_rdft_r2r_def),
&TX_NAME(ff_tx_rdft_r2r_mod2_def),
&TX_NAME(ff_tx_rdft_r2i_def),
&TX_NAME(ff_tx_rdft_r2i_mod2_def),
&TX_NAME(ff_tx_rdft_c2r_def),
&TX_NAME(ff_tx_dctII_def),
&TX_NAME(ff_tx_dctIII_def),
&TX_NAME(ff_tx_dctI_def),
&TX_NAME(ff_tx_dstI_def),
NULL,
};
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