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tx_template.c
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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;
}