FFmpeg coverage

Directory: ../../../ffmpeg/
File: src/libavutil/tx_template.c
Date: 2024-11-20 23:03:26
Exec Total Coverage
Lines: 619 864 71.6%
Functions: 132 293 45.1%
Branches: 197 360 54.7%
Line Branch Exec Source
1 /*
2 * Copyright (c) Lynne
3 *
4 * Power of two FFT:
5 * Copyright (c) Lynne
6 * Copyright (c) 2008 Loren Merritt
7 * Copyright (c) 2002 Fabrice Bellard
8 * Partly based on libdjbfft by D. J. Bernstein
9 *
10 * This file is part of FFmpeg.
11 *
12 * FFmpeg is free software; you can redistribute it and/or
13 * modify it under the terms of the GNU Lesser General Public
14 * License as published by the Free Software Foundation; either
15 * version 2.1 of the License, or (at your option) any later version.
16 *
17 * FFmpeg is distributed in the hope that it will be useful,
18 * but WITHOUT ANY WARRANTY; without even the implied warranty of
19 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
20 * Lesser General Public License for more details.
21 *
22 * You should have received a copy of the GNU Lesser General Public
23 * License along with FFmpeg; if not, write to the Free Software
24 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
25 */
26
27 #include "mem.h"
28
29 #define TABLE_DEF(name, size) \
30 DECLARE_ALIGNED(32, TXSample, TX_TAB(ff_tx_tab_ ##name))[size]
31
32 #define SR_POW2_TABLES \
33 SR_TABLE(8) \
34 SR_TABLE(16) \
35 SR_TABLE(32) \
36 SR_TABLE(64) \
37 SR_TABLE(128) \
38 SR_TABLE(256) \
39 SR_TABLE(512) \
40 SR_TABLE(1024) \
41 SR_TABLE(2048) \
42 SR_TABLE(4096) \
43 SR_TABLE(8192) \
44 SR_TABLE(16384) \
45 SR_TABLE(32768) \
46 SR_TABLE(65536) \
47 SR_TABLE(131072) \
48 SR_TABLE(262144) \
49 SR_TABLE(524288) \
50 SR_TABLE(1048576) \
51 SR_TABLE(2097152) \
52
53 #define SR_TABLE(len) \
54 TABLE_DEF(len, len/4 + 1);
55 /* Power of two tables */
56 SR_POW2_TABLES
57 #undef SR_TABLE
58
59 /* Other factors' tables */
60 TABLE_DEF(53, 12);
61 TABLE_DEF( 7, 6);
62 TABLE_DEF( 9, 8);
63
64 typedef struct FFTabInitData {
65 void (*func)(void);
66 int factors[TX_MAX_SUB]; /* Must be sorted high -> low */
67 } FFTabInitData;
68
69 #define SR_TABLE(len) \
70 static av_cold void TX_TAB(ff_tx_init_tab_ ##len)(void) \
71 { \
72 double freq = 2*M_PI/len; \
73 TXSample *tab = TX_TAB(ff_tx_tab_ ##len); \
74 \
75 for (int i = 0; i < len/4; i++) \
76 *tab++ = RESCALE(cos(i*freq)); \
77 \
78 *tab = 0; \
79 }
80
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 224702 SR_POW2_TABLES
81 #undef SR_TABLE
82
83 static void (*const sr_tabs_init_funcs[])(void) = {
84 #define SR_TABLE(len) TX_TAB(ff_tx_init_tab_ ##len),
85 SR_POW2_TABLES
86 #undef SR_TABLE
87 };
88
89 static AVOnce sr_tabs_init_once[] = {
90 #define SR_TABLE(len) AV_ONCE_INIT,
91 SR_POW2_TABLES
92 #undef SR_TABLE
93 };
94
95 221 static av_cold void TX_TAB(ff_tx_init_tab_53)(void)
96 {
97 /* 5pt, doubled to eliminate AVX lane shuffles */
98 221 TX_TAB(ff_tx_tab_53)[0] = RESCALE(cos(2 * M_PI / 5));
99 221 TX_TAB(ff_tx_tab_53)[1] = RESCALE(cos(2 * M_PI / 5));
100 221 TX_TAB(ff_tx_tab_53)[2] = RESCALE(cos(2 * M_PI / 10));
101 221 TX_TAB(ff_tx_tab_53)[3] = RESCALE(cos(2 * M_PI / 10));
102 221 TX_TAB(ff_tx_tab_53)[4] = RESCALE(sin(2 * M_PI / 5));
103 221 TX_TAB(ff_tx_tab_53)[5] = RESCALE(sin(2 * M_PI / 5));
104 221 TX_TAB(ff_tx_tab_53)[6] = RESCALE(sin(2 * M_PI / 10));
105 221 TX_TAB(ff_tx_tab_53)[7] = RESCALE(sin(2 * M_PI / 10));
106
107 /* 3pt */
108 221 TX_TAB(ff_tx_tab_53)[ 8] = RESCALE(cos(2 * M_PI / 12));
109 221 TX_TAB(ff_tx_tab_53)[ 9] = RESCALE(cos(2 * M_PI / 12));
110 221 TX_TAB(ff_tx_tab_53)[10] = RESCALE(cos(2 * M_PI / 6));
111 221 TX_TAB(ff_tx_tab_53)[11] = RESCALE(cos(8 * M_PI / 6));
112 221 }
113
114 5 static av_cold void TX_TAB(ff_tx_init_tab_7)(void)
115 {
116 5 TX_TAB(ff_tx_tab_7)[0] = RESCALE(cos(2 * M_PI / 7));
117 5 TX_TAB(ff_tx_tab_7)[1] = RESCALE(sin(2 * M_PI / 7));
118 5 TX_TAB(ff_tx_tab_7)[2] = RESCALE(sin(2 * M_PI / 28));
119 5 TX_TAB(ff_tx_tab_7)[3] = RESCALE(cos(2 * M_PI / 28));
120 5 TX_TAB(ff_tx_tab_7)[4] = RESCALE(cos(2 * M_PI / 14));
121 5 TX_TAB(ff_tx_tab_7)[5] = RESCALE(sin(2 * M_PI / 14));
122 5 }
123
124 5 static av_cold void TX_TAB(ff_tx_init_tab_9)(void)
125 {
126 5 TX_TAB(ff_tx_tab_9)[0] = RESCALE(cos(2 * M_PI / 3));
127 5 TX_TAB(ff_tx_tab_9)[1] = RESCALE(sin(2 * M_PI / 3));
128 5 TX_TAB(ff_tx_tab_9)[2] = RESCALE(cos(2 * M_PI / 9));
129 5 TX_TAB(ff_tx_tab_9)[3] = RESCALE(sin(2 * M_PI / 9));
130 5 TX_TAB(ff_tx_tab_9)[4] = RESCALE(cos(2 * M_PI / 36));
131 5 TX_TAB(ff_tx_tab_9)[5] = RESCALE(sin(2 * M_PI / 36));
132 5 TX_TAB(ff_tx_tab_9)[6] = TX_TAB(ff_tx_tab_9)[2] + TX_TAB(ff_tx_tab_9)[5];
133 5 TX_TAB(ff_tx_tab_9)[7] = TX_TAB(ff_tx_tab_9)[3] - TX_TAB(ff_tx_tab_9)[4];
134 5 }
135
136 static const FFTabInitData nptwo_tabs_init_data[] = {
137 { TX_TAB(ff_tx_init_tab_53), { 15, 5, 3 } },
138 { TX_TAB(ff_tx_init_tab_9), { 9 } },
139 { TX_TAB(ff_tx_init_tab_7), { 7 } },
140 };
141
142 static AVOnce nptwo_tabs_init_once[] = {
143 AV_ONCE_INIT,
144 AV_ONCE_INIT,
145 AV_ONCE_INIT,
146 };
147
148 6988 av_cold void TX_TAB(ff_tx_init_tabs)(int len)
149 {
150 6988 int factor_2 = ff_ctz(len);
151
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 6988 if (factor_2) {
152 5011 int idx = factor_2 - 3;
153
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 23785 for (int i = 0; i <= idx; i++)
154 18774 ff_thread_once(&sr_tabs_init_once[i],
155 sr_tabs_init_funcs[i]);
156 5011 len >>= factor_2;
157 }
158
159
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 8989 for (int i = 0; i < FF_ARRAY_ELEMS(nptwo_tabs_init_data); i++) {
160 8981 int f, f_idx = 0;
161
162
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 8981 if (len <= 1)
163 6980 return;
164
165
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 2057 while ((f = nptwo_tabs_init_data[i].factors[f_idx++])) {
166
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 2033 if (f % len)
167 56 continue;
168
169 1977 ff_thread_once(&nptwo_tabs_init_once[i],
170 nptwo_tabs_init_data[i].func);
171 1977 len /= f;
172 1977 break;
173 }
174 }
175 }
176
177 4464540 static av_always_inline void fft3(TXComplex *out, TXComplex *in,
178 ptrdiff_t stride)
179 {
180 TXComplex tmp[3];
181 4464540 const TXSample *tab = TX_TAB(ff_tx_tab_53);
182 #ifdef TX_INT32
183 int64_t mtmp[4];
184 #endif
185
186 4464540 tmp[0] = in[0];
187 4464540 BF(tmp[1].re, tmp[2].im, in[1].im, in[2].im);
188 4464540 BF(tmp[1].im, tmp[2].re, in[1].re, in[2].re);
189
190 #ifdef TX_INT32
191 ✗ out[0*stride].re = (int64_t)tmp[0].re + tmp[2].re;
192 ✗ out[0*stride].im = (int64_t)tmp[0].im + tmp[2].im;
193 ✗ mtmp[0] = (int64_t)tab[ 8] * tmp[1].re;
194 ✗ mtmp[1] = (int64_t)tab[ 9] * tmp[1].im;
195 ✗ mtmp[2] = (int64_t)tab[10] * tmp[2].re;
196 ✗ mtmp[3] = (int64_t)tab[10] * tmp[2].im;
197 ✗ out[1*stride].re = tmp[0].re - (mtmp[2] + mtmp[0] + 0x40000000 >> 31);
198 ✗ out[1*stride].im = tmp[0].im - (mtmp[3] - mtmp[1] + 0x40000000 >> 31);
199 ✗ out[2*stride].re = tmp[0].re - (mtmp[2] - mtmp[0] + 0x40000000 >> 31);
200 ✗ out[2*stride].im = tmp[0].im - (mtmp[3] + mtmp[1] + 0x40000000 >> 31);
201 #else
202 4464540 out[0*stride].re = tmp[0].re + tmp[2].re;
203 4464540 out[0*stride].im = tmp[0].im + tmp[2].im;
204 4464540 tmp[1].re = tab[ 8] * tmp[1].re;
205 4464540 tmp[1].im = tab[ 9] * tmp[1].im;
206 4464540 tmp[2].re = tab[10] * tmp[2].re;
207 4464540 tmp[2].im = tab[10] * tmp[2].im;
208 4464540 out[1*stride].re = tmp[0].re - tmp[2].re + tmp[1].re;
209 4464540 out[1*stride].im = tmp[0].im - tmp[2].im - tmp[1].im;
210 4464540 out[2*stride].re = tmp[0].re - tmp[2].re - tmp[1].re;
211 4464540 out[2*stride].im = tmp[0].im - tmp[2].im + tmp[1].im;
212 #endif
213 4464540 }
214
215 #define DECL_FFT5(NAME, D0, D1, D2, D3, D4) \
216 static av_always_inline void NAME(TXComplex *out, TXComplex *in, \
217 ptrdiff_t stride) \
218 { \
219 TXComplex dc, z0[4], t[6]; \
220 const TXSample *tab = TX_TAB(ff_tx_tab_53); \
221 \
222 dc = in[0]; \
223 BF(t[1].im, t[0].re, in[1].re, in[4].re); \
224 BF(t[1].re, t[0].im, in[1].im, in[4].im); \
225 BF(t[3].im, t[2].re, in[2].re, in[3].re); \
226 BF(t[3].re, t[2].im, in[2].im, in[3].im); \
227 \
228 out[D0*stride].re = dc.re + (TXUSample)t[0].re + t[2].re; \
229 out[D0*stride].im = dc.im + (TXUSample)t[0].im + t[2].im; \
230 \
231 SMUL(t[4].re, t[0].re, tab[0], tab[2], t[2].re, t[0].re); \
232 SMUL(t[4].im, t[0].im, tab[0], tab[2], t[2].im, t[0].im); \
233 CMUL(t[5].re, t[1].re, tab[4], tab[6], t[3].re, t[1].re); \
234 CMUL(t[5].im, t[1].im, tab[4], tab[6], t[3].im, t[1].im); \
235 \
236 BF(z0[0].re, z0[3].re, t[0].re, t[1].re); \
237 BF(z0[0].im, z0[3].im, t[0].im, t[1].im); \
238 BF(z0[2].re, z0[1].re, t[4].re, t[5].re); \
239 BF(z0[2].im, z0[1].im, t[4].im, t[5].im); \
240 \
241 out[D1*stride].re = dc.re + (TXUSample)z0[3].re; \
242 out[D1*stride].im = dc.im + (TXUSample)z0[0].im; \
243 out[D2*stride].re = dc.re + (TXUSample)z0[2].re; \
244 out[D2*stride].im = dc.im + (TXUSample)z0[1].im; \
245 out[D3*stride].re = dc.re + (TXUSample)z0[1].re; \
246 out[D3*stride].im = dc.im + (TXUSample)z0[2].im; \
247 out[D4*stride].re = dc.re + (TXUSample)z0[0].re; \
248 out[D4*stride].im = dc.im + (TXUSample)z0[3].im; \
249 }
250
251 79542 DECL_FFT5(fft5, 0, 1, 2, 3, 4)
252 892908 DECL_FFT5(fft5_m1, 0, 6, 12, 3, 9)
253 892908 DECL_FFT5(fft5_m2, 10, 1, 7, 13, 4)
254 892908 DECL_FFT5(fft5_m3, 5, 11, 2, 8, 14)
255
256 50526 static av_always_inline void fft7(TXComplex *out, TXComplex *in,
257 ptrdiff_t stride)
258 {
259 TXComplex dc, t[6], z[3];
260 50526 const TXComplex *tab = (const TXComplex *)TX_TAB(ff_tx_tab_7);
261 #ifdef TX_INT32
262 int64_t mtmp[12];
263 #endif
264
265 50526 dc = in[0];
266 50526 BF(t[1].re, t[0].re, in[1].re, in[6].re);
267 50526 BF(t[1].im, t[0].im, in[1].im, in[6].im);
268 50526 BF(t[3].re, t[2].re, in[2].re, in[5].re);
269 50526 BF(t[3].im, t[2].im, in[2].im, in[5].im);
270 50526 BF(t[5].re, t[4].re, in[3].re, in[4].re);
271 50526 BF(t[5].im, t[4].im, in[3].im, in[4].im);
272
273 50526 out[0*stride].re = dc.re + t[0].re + t[2].re + t[4].re;
274 50526 out[0*stride].im = dc.im + t[0].im + t[2].im + t[4].im;
275
276 #ifdef TX_INT32 /* NOTE: it's possible to do this with 16 mults but 72 adds */
277 ✗ mtmp[ 0] = ((int64_t)tab[0].re)*t[0].re - ((int64_t)tab[2].re)*t[4].re;
278 ✗ mtmp[ 1] = ((int64_t)tab[0].re)*t[4].re - ((int64_t)tab[1].re)*t[0].re;
279 ✗ mtmp[ 2] = ((int64_t)tab[0].re)*t[2].re - ((int64_t)tab[2].re)*t[0].re;
280 ✗ mtmp[ 3] = ((int64_t)tab[0].re)*t[0].im - ((int64_t)tab[1].re)*t[2].im;
281 ✗ mtmp[ 4] = ((int64_t)tab[0].re)*t[4].im - ((int64_t)tab[1].re)*t[0].im;
282 ✗ mtmp[ 5] = ((int64_t)tab[0].re)*t[2].im - ((int64_t)tab[2].re)*t[0].im;
283
284 ✗ mtmp[ 6] = ((int64_t)tab[2].im)*t[1].im + ((int64_t)tab[1].im)*t[5].im;
285 ✗ mtmp[ 7] = ((int64_t)tab[0].im)*t[5].im + ((int64_t)tab[2].im)*t[3].im;
286 ✗ mtmp[ 8] = ((int64_t)tab[2].im)*t[5].im + ((int64_t)tab[1].im)*t[3].im;
287 ✗ mtmp[ 9] = ((int64_t)tab[0].im)*t[1].re + ((int64_t)tab[1].im)*t[3].re;
288 ✗ mtmp[10] = ((int64_t)tab[2].im)*t[3].re + ((int64_t)tab[0].im)*t[5].re;
289 ✗ mtmp[11] = ((int64_t)tab[2].im)*t[1].re + ((int64_t)tab[1].im)*t[5].re;
290
291 ✗ z[0].re = (int32_t)(mtmp[ 0] - ((int64_t)tab[1].re)*t[2].re + 0x40000000 >> 31);
292 ✗ z[1].re = (int32_t)(mtmp[ 1] - ((int64_t)tab[2].re)*t[2].re + 0x40000000 >> 31);
293 ✗ z[2].re = (int32_t)(mtmp[ 2] - ((int64_t)tab[1].re)*t[4].re + 0x40000000 >> 31);
294 ✗ z[0].im = (int32_t)(mtmp[ 3] - ((int64_t)tab[2].re)*t[4].im + 0x40000000 >> 31);
295 ✗ z[1].im = (int32_t)(mtmp[ 4] - ((int64_t)tab[2].re)*t[2].im + 0x40000000 >> 31);
296 ✗ z[2].im = (int32_t)(mtmp[ 5] - ((int64_t)tab[1].re)*t[4].im + 0x40000000 >> 31);
297
298 ✗ t[0].re = (int32_t)(mtmp[ 6] - ((int64_t)tab[0].im)*t[3].im + 0x40000000 >> 31);
299 ✗ t[2].re = (int32_t)(mtmp[ 7] - ((int64_t)tab[1].im)*t[1].im + 0x40000000 >> 31);
300 ✗ t[4].re = (int32_t)(mtmp[ 8] + ((int64_t)tab[0].im)*t[1].im + 0x40000000 >> 31);
301 ✗ t[0].im = (int32_t)(mtmp[ 9] + ((int64_t)tab[2].im)*t[5].re + 0x40000000 >> 31);
302 ✗ t[2].im = (int32_t)(mtmp[10] - ((int64_t)tab[1].im)*t[1].re + 0x40000000 >> 31);
303 ✗ t[4].im = (int32_t)(mtmp[11] - ((int64_t)tab[0].im)*t[3].re + 0x40000000 >> 31);
304 #else
305 50526 z[0].re = tab[0].re*t[0].re - tab[2].re*t[4].re - tab[1].re*t[2].re;
306 50526 z[1].re = tab[0].re*t[4].re - tab[1].re*t[0].re - tab[2].re*t[2].re;
307 50526 z[2].re = tab[0].re*t[2].re - tab[2].re*t[0].re - tab[1].re*t[4].re;
308 50526 z[0].im = tab[0].re*t[0].im - tab[1].re*t[2].im - tab[2].re*t[4].im;
309 50526 z[1].im = tab[0].re*t[4].im - tab[1].re*t[0].im - tab[2].re*t[2].im;
310 50526 z[2].im = tab[0].re*t[2].im - tab[2].re*t[0].im - tab[1].re*t[4].im;
311
312 /* It's possible to do t[4].re and t[0].im with 2 multiplies only by
313 * multiplying the sum of all with the average of the twiddles */
314
315 50526 t[0].re = tab[2].im*t[1].im + tab[1].im*t[5].im - tab[0].im*t[3].im;
316 50526 t[2].re = tab[0].im*t[5].im + tab[2].im*t[3].im - tab[1].im*t[1].im;
317 50526 t[4].re = tab[2].im*t[5].im + tab[1].im*t[3].im + tab[0].im*t[1].im;
318 50526 t[0].im = tab[0].im*t[1].re + tab[1].im*t[3].re + tab[2].im*t[5].re;
319 50526 t[2].im = tab[2].im*t[3].re + tab[0].im*t[5].re - tab[1].im*t[1].re;
320 50526 t[4].im = tab[2].im*t[1].re + tab[1].im*t[5].re - tab[0].im*t[3].re;
321 #endif
322
323 50526 BF(t[1].re, z[0].re, z[0].re, t[4].re);
324 50526 BF(t[3].re, z[1].re, z[1].re, t[2].re);
325 50526 BF(t[5].re, z[2].re, z[2].re, t[0].re);
326 50526 BF(t[1].im, z[0].im, z[0].im, t[0].im);
327 50526 BF(t[3].im, z[1].im, z[1].im, t[2].im);
328 50526 BF(t[5].im, z[2].im, z[2].im, t[4].im);
329
330 50526 out[1*stride].re = dc.re + z[0].re;
331 50526 out[1*stride].im = dc.im + t[1].im;
332 50526 out[2*stride].re = dc.re + t[3].re;
333 50526 out[2*stride].im = dc.im + z[1].im;
334 50526 out[3*stride].re = dc.re + z[2].re;
335 50526 out[3*stride].im = dc.im + t[5].im;
336 50526 out[4*stride].re = dc.re + t[5].re;
337 50526 out[4*stride].im = dc.im + z[2].im;
338 50526 out[5*stride].re = dc.re + z[1].re;
339 50526 out[5*stride].im = dc.im + t[3].im;
340 50526 out[6*stride].re = dc.re + t[1].re;
341 50526 out[6*stride].im = dc.im + z[0].im;
342 50526 }
343
344 39298 static av_always_inline void fft9(TXComplex *out, TXComplex *in,
345 ptrdiff_t stride)
346 {
347 39298 const TXComplex *tab = (const TXComplex *)TX_TAB(ff_tx_tab_9);
348 TXComplex dc, t[16], w[4], x[5], y[5], z[2];
349 #ifdef TX_INT32
350 int64_t mtmp[12];
351 #endif
352
353 39298 dc = in[0];
354 39298 BF(t[1].re, t[0].re, in[1].re, in[8].re);
355 39298 BF(t[1].im, t[0].im, in[1].im, in[8].im);
356 39298 BF(t[3].re, t[2].re, in[2].re, in[7].re);
357 39298 BF(t[3].im, t[2].im, in[2].im, in[7].im);
358 39298 BF(t[5].re, t[4].re, in[3].re, in[6].re);
359 39298 BF(t[5].im, t[4].im, in[3].im, in[6].im);
360 39298 BF(t[7].re, t[6].re, in[4].re, in[5].re);
361 39298 BF(t[7].im, t[6].im, in[4].im, in[5].im);
362
363 39298 w[0].re = t[0].re - t[6].re;
364 39298 w[0].im = t[0].im - t[6].im;
365 39298 w[1].re = t[2].re - t[6].re;
366 39298 w[1].im = t[2].im - t[6].im;
367 39298 w[2].re = t[1].re - t[7].re;
368 39298 w[2].im = t[1].im - t[7].im;
369 39298 w[3].re = t[3].re + t[7].re;
370 39298 w[3].im = t[3].im + t[7].im;
371
372 39298 z[0].re = dc.re + t[4].re;
373 39298 z[0].im = dc.im + t[4].im;
374
375 39298 z[1].re = t[0].re + t[2].re + t[6].re;
376 39298 z[1].im = t[0].im + t[2].im + t[6].im;
377
378 39298 out[0*stride].re = z[0].re + z[1].re;
379 39298 out[0*stride].im = z[0].im + z[1].im;
380
381 #ifdef TX_INT32
382 ✗ mtmp[0] = t[1].re - t[3].re + t[7].re;
383 ✗ mtmp[1] = t[1].im - t[3].im + t[7].im;
384
385 ✗ y[3].re = (int32_t)(((int64_t)tab[0].im)*mtmp[0] + 0x40000000 >> 31);
386 ✗ y[3].im = (int32_t)(((int64_t)tab[0].im)*mtmp[1] + 0x40000000 >> 31);
387
388 ✗ mtmp[0] = (int32_t)(((int64_t)tab[0].re)*z[1].re + 0x40000000 >> 31);
389 ✗ mtmp[1] = (int32_t)(((int64_t)tab[0].re)*z[1].im + 0x40000000 >> 31);
390 ✗ mtmp[2] = (int32_t)(((int64_t)tab[0].re)*t[4].re + 0x40000000 >> 31);
391 ✗ mtmp[3] = (int32_t)(((int64_t)tab[0].re)*t[4].im + 0x40000000 >> 31);
392
393 ✗ x[3].re = z[0].re + (int32_t)mtmp[0];
394 ✗ x[3].im = z[0].im + (int32_t)mtmp[1];
395 ✗ z[0].re = in[0].re + (int32_t)mtmp[2];
396 ✗ z[0].im = in[0].im + (int32_t)mtmp[3];
397
398 ✗ mtmp[0] = ((int64_t)tab[1].re)*w[0].re;
399 ✗ mtmp[1] = ((int64_t)tab[1].re)*w[0].im;
400 ✗ mtmp[2] = ((int64_t)tab[2].im)*w[0].re;
401 ✗ mtmp[3] = ((int64_t)tab[2].im)*w[0].im;
402 ✗ mtmp[4] = ((int64_t)tab[1].im)*w[2].re;
403 ✗ mtmp[5] = ((int64_t)tab[1].im)*w[2].im;
404 ✗ mtmp[6] = ((int64_t)tab[2].re)*w[2].re;
405 ✗ mtmp[7] = ((int64_t)tab[2].re)*w[2].im;
406
407 ✗ x[1].re = (int32_t)(mtmp[0] + ((int64_t)tab[2].im)*w[1].re + 0x40000000 >> 31);
408 ✗ x[1].im = (int32_t)(mtmp[1] + ((int64_t)tab[2].im)*w[1].im + 0x40000000 >> 31);
409 ✗ x[2].re = (int32_t)(mtmp[2] - ((int64_t)tab[3].re)*w[1].re + 0x40000000 >> 31);
410 ✗ x[2].im = (int32_t)(mtmp[3] - ((int64_t)tab[3].re)*w[1].im + 0x40000000 >> 31);
411 ✗ y[1].re = (int32_t)(mtmp[4] + ((int64_t)tab[2].re)*w[3].re + 0x40000000 >> 31);
412 ✗ y[1].im = (int32_t)(mtmp[5] + ((int64_t)tab[2].re)*w[3].im + 0x40000000 >> 31);
413 ✗ y[2].re = (int32_t)(mtmp[6] - ((int64_t)tab[3].im)*w[3].re + 0x40000000 >> 31);
414 ✗ y[2].im = (int32_t)(mtmp[7] - ((int64_t)tab[3].im)*w[3].im + 0x40000000 >> 31);
415
416 ✗ y[0].re = (int32_t)(((int64_t)tab[0].im)*t[5].re + 0x40000000 >> 31);
417 ✗ y[0].im = (int32_t)(((int64_t)tab[0].im)*t[5].im + 0x40000000 >> 31);
418
419 #else
420 39298 y[3].re = tab[0].im*(t[1].re - t[3].re + t[7].re);
421 39298 y[3].im = tab[0].im*(t[1].im - t[3].im + t[7].im);
422
423 39298 x[3].re = z[0].re + tab[0].re*z[1].re;
424 39298 x[3].im = z[0].im + tab[0].re*z[1].im;
425 39298 z[0].re = dc.re + tab[0].re*t[4].re;
426 39298 z[0].im = dc.im + tab[0].re*t[4].im;
427
428 39298 x[1].re = tab[1].re*w[0].re + tab[2].im*w[1].re;
429 39298 x[1].im = tab[1].re*w[0].im + tab[2].im*w[1].im;
430 39298 x[2].re = tab[2].im*w[0].re - tab[3].re*w[1].re;
431 39298 x[2].im = tab[2].im*w[0].im - tab[3].re*w[1].im;
432 39298 y[1].re = tab[1].im*w[2].re + tab[2].re*w[3].re;
433 39298 y[1].im = tab[1].im*w[2].im + tab[2].re*w[3].im;
434 39298 y[2].re = tab[2].re*w[2].re - tab[3].im*w[3].re;
435 39298 y[2].im = tab[2].re*w[2].im - tab[3].im*w[3].im;
436
437 39298 y[0].re = tab[0].im*t[5].re;
438 39298 y[0].im = tab[0].im*t[5].im;
439 #endif
440
441 39298 x[4].re = x[1].re + x[2].re;
442 39298 x[4].im = x[1].im + x[2].im;
443
444 39298 y[4].re = y[1].re - y[2].re;
445 39298 y[4].im = y[1].im - y[2].im;
446 39298 x[1].re = z[0].re + x[1].re;
447 39298 x[1].im = z[0].im + x[1].im;
448 39298 y[1].re = y[0].re + y[1].re;
449 39298 y[1].im = y[0].im + y[1].im;
450 39298 x[2].re = z[0].re + x[2].re;
451 39298 x[2].im = z[0].im + x[2].im;
452 39298 y[2].re = y[2].re - y[0].re;
453 39298 y[2].im = y[2].im - y[0].im;
454 39298 x[4].re = z[0].re - x[4].re;
455 39298 x[4].im = z[0].im - x[4].im;
456 39298 y[4].re = y[0].re - y[4].re;
457 39298 y[4].im = y[0].im - y[4].im;
458
459 39298 out[1*stride] = (TXComplex){ x[1].re + y[1].im, x[1].im - y[1].re };
460 39298 out[2*stride] = (TXComplex){ x[2].re + y[2].im, x[2].im - y[2].re };
461 39298 out[3*stride] = (TXComplex){ x[3].re + y[3].im, x[3].im - y[3].re };
462 39298 out[4*stride] = (TXComplex){ x[4].re + y[4].im, x[4].im - y[4].re };
463 39298 out[5*stride] = (TXComplex){ x[4].re - y[4].im, x[4].im + y[4].re };
464 39298 out[6*stride] = (TXComplex){ x[3].re - y[3].im, x[3].im + y[3].re };
465 39298 out[7*stride] = (TXComplex){ x[2].re - y[2].im, x[2].im + y[2].re };
466 39298 out[8*stride] = (TXComplex){ x[1].re - y[1].im, x[1].im + y[1].re };
467 39298 }
468
469 892908 static av_always_inline void fft15(TXComplex *out, TXComplex *in,
470 ptrdiff_t stride)
471 {
472 TXComplex tmp[15];
473
474
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 5357448 for (int i = 0; i < 5; i++)
475 4464540 fft3(tmp + i, in + i*3, 5);
476
477 892908 fft5_m1(out, tmp + 0, stride);
478 892908 fft5_m2(out, tmp + 5, stride);
479 892908 fft5_m3(out, tmp + 10, stride);
480 892908 }
481
482 99 static av_cold int TX_NAME(ff_tx_fft_factor_init)(AVTXContext *s,
483 const FFTXCodelet *cd,
484 uint64_t flags,
485 FFTXCodeletOptions *opts,
486 int len, int inv,
487 const void *scale)
488 {
489 99 int ret = 0;
490 99 TX_TAB(ff_tx_init_tabs)(len);
491
492
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 99 if (len == 15)
493 75 ret = ff_tx_gen_pfa_input_map(s, opts, 3, 5);
494
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 24 else if (flags & FF_TX_PRESHUFFLE)
495 24 ret = ff_tx_gen_default_map(s, opts);
496
497 99 return ret;
498 }
499
500 #define DECL_FACTOR_S(n) \
501 static void TX_NAME(ff_tx_fft##n)(AVTXContext *s, void *dst, \
502 void *src, ptrdiff_t stride) \
503 { \
504 fft##n((TXComplex *)dst, (TXComplex *)src, stride / sizeof(TXComplex)); \
505 } \
506 static const FFTXCodelet TX_NAME(ff_tx_fft##n##_ns_def) = { \
507 .name = TX_NAME_STR("fft" #n "_ns"), \
508 .function = TX_NAME(ff_tx_fft##n), \
509 .type = TX_TYPE(FFT), \
510 .flags = AV_TX_INPLACE | FF_TX_OUT_OF_PLACE | \
511 AV_TX_UNALIGNED | FF_TX_PRESHUFFLE, \
512 .factors[0] = n, \
513 .nb_factors = 1, \
514 .min_len = n, \
515 .max_len = n, \
516 .init = TX_NAME(ff_tx_fft_factor_init), \
517 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
518 .prio = FF_TX_PRIO_BASE, \
519 };
520
521 #define DECL_FACTOR_F(n) \
522 DECL_FACTOR_S(n) \
523 static const FFTXCodelet TX_NAME(ff_tx_fft##n##_fwd_def) = { \
524 .name = TX_NAME_STR("fft" #n "_fwd"), \
525 .function = TX_NAME(ff_tx_fft##n), \
526 .type = TX_TYPE(FFT), \
527 .flags = AV_TX_INPLACE | FF_TX_OUT_OF_PLACE | \
528 AV_TX_UNALIGNED | FF_TX_FORWARD_ONLY, \
529 .factors[0] = n, \
530 .nb_factors = 1, \
531 .min_len = n, \
532 .max_len = n, \
533 .init = TX_NAME(ff_tx_fft_factor_init), \
534 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
535 .prio = FF_TX_PRIO_BASE, \
536 };
537
538 ✗ DECL_FACTOR_F(3)
539 72982 DECL_FACTOR_F(5)
540 50526 DECL_FACTOR_F(7)
541 39298 DECL_FACTOR_F(9)
542 1000 DECL_FACTOR_S(15)
543
544 #define BUTTERFLIES(a0, a1, a2, a3) \
545 do { \
546 r0=a0.re; \
547 i0=a0.im; \
548 r1=a1.re; \
549 i1=a1.im; \
550 BF(t3, t5, t5, t1); \
551 BF(a2.re, a0.re, r0, t5); \
552 BF(a3.im, a1.im, i1, t3); \
553 BF(t4, t6, t2, t6); \
554 BF(a3.re, a1.re, r1, t4); \
555 BF(a2.im, a0.im, i0, t6); \
556 } while (0)
557
558 #define TRANSFORM(a0, a1, a2, a3, wre, wim) \
559 do { \
560 CMUL(t1, t2, a2.re, a2.im, wre, -wim); \
561 CMUL(t5, t6, a3.re, a3.im, wre, wim); \
562 BUTTERFLIES(a0, a1, a2, a3); \
563 } while (0)
564
565 /* z[0...8n-1], w[1...2n-1] */
566 5134455 static inline void TX_NAME(ff_tx_fft_sr_combine)(TXComplex *z,
567 const TXSample *cos, int len)
568 {
569 5134455 int o1 = 2*len;
570 5134455 int o2 = 4*len;
571 5134455 int o3 = 6*len;
572 5134455 const TXSample *wim = cos + o1 - 7;
573 TXUSample t1, t2, t3, t4, t5, t6, r0, i0, r1, i1;
574
575
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 15527535 for (int i = 0; i < len; i += 4) {
576 10393080 TRANSFORM(z[0], z[o1 + 0], z[o2 + 0], z[o3 + 0], cos[0], wim[7]);
577 10393080 TRANSFORM(z[2], z[o1 + 2], z[o2 + 2], z[o3 + 2], cos[2], wim[5]);
578 10393080 TRANSFORM(z[4], z[o1 + 4], z[o2 + 4], z[o3 + 4], cos[4], wim[3]);
579 10393080 TRANSFORM(z[6], z[o1 + 6], z[o2 + 6], z[o3 + 6], cos[6], wim[1]);
580
581 10393080 TRANSFORM(z[1], z[o1 + 1], z[o2 + 1], z[o3 + 1], cos[1], wim[6]);
582 10393080 TRANSFORM(z[3], z[o1 + 3], z[o2 + 3], z[o3 + 3], cos[3], wim[4]);
583 10393080 TRANSFORM(z[5], z[o1 + 5], z[o2 + 5], z[o3 + 5], cos[5], wim[2]);
584 10393080 TRANSFORM(z[7], z[o1 + 7], z[o2 + 7], z[o3 + 7], cos[7], wim[0]);
585
586 10393080 z += 2*4;
587 10393080 cos += 2*4;
588 10393080 wim -= 2*4;
589 }
590 5134455 }
591
592 4175 static av_cold int TX_NAME(ff_tx_fft_sr_codelet_init)(AVTXContext *s,
593 const FFTXCodelet *cd,
594 uint64_t flags,
595 FFTXCodeletOptions *opts,
596 int len, int inv,
597 const void *scale)
598 {
599 4175 TX_TAB(ff_tx_init_tabs)(len);
600 4175 return ff_tx_gen_ptwo_revtab(s, opts);
601 }
602
603 #define DECL_SR_CODELET_DEF(n) \
604 static const FFTXCodelet TX_NAME(ff_tx_fft##n##_ns_def) = { \
605 .name = TX_NAME_STR("fft" #n "_ns"), \
606 .function = TX_NAME(ff_tx_fft##n##_ns), \
607 .type = TX_TYPE(FFT), \
608 .flags = FF_TX_OUT_OF_PLACE | AV_TX_INPLACE | \
609 AV_TX_UNALIGNED | FF_TX_PRESHUFFLE, \
610 .factors[0] = 2, \
611 .nb_factors = 1, \
612 .min_len = n, \
613 .max_len = n, \
614 .init = TX_NAME(ff_tx_fft_sr_codelet_init), \
615 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
616 .prio = FF_TX_PRIO_BASE, \
617 };
618
619 #define DECL_SR_CODELET(n, n2, n4) \
620 static void TX_NAME(ff_tx_fft##n##_ns)(AVTXContext *s, void *_dst, \
621 void *_src, ptrdiff_t stride) \
622 { \
623 TXComplex *src = _src; \
624 TXComplex *dst = _dst; \
625 const TXSample *cos = TX_TAB(ff_tx_tab_##n); \
626 \
627 TX_NAME(ff_tx_fft##n2##_ns)(s, dst, src, stride); \
628 TX_NAME(ff_tx_fft##n4##_ns)(s, dst + n4*2, src + n4*2, stride); \
629 TX_NAME(ff_tx_fft##n4##_ns)(s, dst + n4*3, src + n4*3, stride); \
630 TX_NAME(ff_tx_fft_sr_combine)(dst, cos, n4 >> 1); \
631 } \
632 \
633 DECL_SR_CODELET_DEF(n)
634
635 7 static void TX_NAME(ff_tx_fft2_ns)(AVTXContext *s, void *_dst,
636 void *_src, ptrdiff_t stride)
637 {
638 7 TXComplex *src = _src;
639 7 TXComplex *dst = _dst;
640 TXComplex tmp;
641
642 7 BF(tmp.re, dst[0].re, src[0].re, src[1].re);
643 7 BF(tmp.im, dst[0].im, src[0].im, src[1].im);
644 7 dst[1] = tmp;
645 7 }
646
647 25241885 static void TX_NAME(ff_tx_fft4_ns)(AVTXContext *s, void *_dst,
648 void *_src, ptrdiff_t stride)
649 {
650 25241885 TXComplex *src = _src;
651 25241885 TXComplex *dst = _dst;
652 TXSample t1, t2, t3, t4, t5, t6, t7, t8;
653
654 25241885 BF(t3, t1, src[0].re, src[1].re);
655 25241885 BF(t8, t6, src[3].re, src[2].re);
656 25241885 BF(dst[2].re, dst[0].re, t1, t6);
657 25241885 BF(t4, t2, src[0].im, src[1].im);
658 25241885 BF(t7, t5, src[2].im, src[3].im);
659 25241885 BF(dst[3].im, dst[1].im, t4, t8);
660 25241885 BF(dst[3].re, dst[1].re, t3, t7);
661 25241885 BF(dst[2].im, dst[0].im, t2, t5);
662 25241885 }
663
664 13153783 static void TX_NAME(ff_tx_fft8_ns)(AVTXContext *s, void *_dst,
665 void *_src, ptrdiff_t stride)
666 {
667 13153783 TXComplex *src = _src;
668 13153783 TXComplex *dst = _dst;
669 TXUSample t1, t2, t3, t4, t5, t6, r0, i0, r1, i1;
670 13153783 const TXSample cos = TX_TAB(ff_tx_tab_8)[1];
671
672 13153783 TX_NAME(ff_tx_fft4_ns)(s, dst, src, stride);
673
674 13153783 BF(t1, dst[5].re, src[4].re, -src[5].re);
675 13153783 BF(t2, dst[5].im, src[4].im, -src[5].im);
676 13153783 BF(t5, dst[7].re, src[6].re, -src[7].re);
677 13153783 BF(t6, dst[7].im, src[6].im, -src[7].im);
678
679 13153783 BUTTERFLIES(dst[0], dst[2], dst[4], dst[6]);
680 13153783 TRANSFORM(dst[1], dst[3], dst[5], dst[7], cos, cos);
681 13153783 }
682
683 5529270 static void TX_NAME(ff_tx_fft16_ns)(AVTXContext *s, void *_dst,
684 void *_src, ptrdiff_t stride)
685 {
686 5529270 TXComplex *src = _src;
687 5529270 TXComplex *dst = _dst;
688 5529270 const TXSample *cos = TX_TAB(ff_tx_tab_16);
689
690 TXUSample t1, t2, t3, t4, t5, t6, r0, i0, r1, i1;
691 5529270 TXSample cos_16_1 = cos[1];
692 5529270 TXSample cos_16_2 = cos[2];
693 5529270 TXSample cos_16_3 = cos[3];
694
695 5529270 TX_NAME(ff_tx_fft8_ns)(s, dst + 0, src + 0, stride);
696 5529270 TX_NAME(ff_tx_fft4_ns)(s, dst + 8, src + 8, stride);
697 5529270 TX_NAME(ff_tx_fft4_ns)(s, dst + 12, src + 12, stride);
698
699 5529270 t1 = dst[ 8].re;
700 5529270 t2 = dst[ 8].im;
701 5529270 t5 = dst[12].re;
702 5529270 t6 = dst[12].im;
703 5529270 BUTTERFLIES(dst[0], dst[4], dst[8], dst[12]);
704
705 5529270 TRANSFORM(dst[ 2], dst[ 6], dst[10], dst[14], cos_16_2, cos_16_2);
706 5529270 TRANSFORM(dst[ 1], dst[ 5], dst[ 9], dst[13], cos_16_1, cos_16_3);
707 5529270 TRANSFORM(dst[ 3], dst[ 7], dst[11], dst[15], cos_16_3, cos_16_1);
708 5529270 }
709
710 DECL_SR_CODELET_DEF(2)
711 DECL_SR_CODELET_DEF(4)
712 DECL_SR_CODELET_DEF(8)
713 DECL_SR_CODELET_DEF(16)
714 3658356 DECL_SR_CODELET(32,16,8)
715 795782 DECL_SR_CODELET(64,32,16)
716 416402 DECL_SR_CODELET(128,64,32)
717 147850 DECL_SR_CODELET(256,128,64)
718 104632 DECL_SR_CODELET(512,256,128)
719 7655 DECL_SR_CODELET(1024,512,256)
720 2582 DECL_SR_CODELET(2048,1024,512)
721 758 DECL_SR_CODELET(4096,2048,1024)
722 433 DECL_SR_CODELET(8192,4096,2048)
723 5 DECL_SR_CODELET(16384,8192,4096)
724 ✗ DECL_SR_CODELET(32768,16384,8192)
725 ✗ DECL_SR_CODELET(65536,32768,16384)
726 ✗ DECL_SR_CODELET(131072,65536,32768)
727 ✗ DECL_SR_CODELET(262144,131072,65536)
728 ✗ DECL_SR_CODELET(524288,262144,131072)
729 ✗ DECL_SR_CODELET(1048576,524288,262144)
730 ✗ DECL_SR_CODELET(2097152,1048576,524288)
731
732 249 static av_cold int TX_NAME(ff_tx_fft_init)(AVTXContext *s,
733 const FFTXCodelet *cd,
734 uint64_t flags,
735 FFTXCodeletOptions *opts,
736 int len, int inv,
737 const void *scale)
738 {
739 int ret;
740 249 int is_inplace = !!(flags & AV_TX_INPLACE);
741 249 FFTXCodeletOptions sub_opts = {
742
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 249 .map_dir = is_inplace ? FF_TX_MAP_SCATTER : FF_TX_MAP_GATHER,
743 };
744
745 249 flags &= ~FF_TX_OUT_OF_PLACE; /* We want the subtransform to be */
746 249 flags |= AV_TX_INPLACE; /* in-place */
747 249 flags |= FF_TX_PRESHUFFLE; /* This function handles the permute step */
748
749
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 249 if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts, len, inv, scale)))
750 24 return ret;
751
752
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 225 if (is_inplace && (ret = ff_tx_gen_inplace_map(s, len)))
753 ✗ return ret;
754
755 225 return 0;
756 }
757
758 8 static av_cold int TX_NAME(ff_tx_fft_inplace_small_init)(AVTXContext *s,
759 const FFTXCodelet *cd,
760 uint64_t flags,
761 FFTXCodeletOptions *opts,
762 int len, int inv,
763 const void *scale)
764 {
765
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 8 if (!(s->tmp = av_malloc(len*sizeof(*s->tmp))))
766 ✗ return AVERROR(ENOMEM);
767 8 flags &= ~AV_TX_INPLACE;
768 8 return TX_NAME(ff_tx_fft_init)(s, cd, flags, opts, len, inv, scale);
769 }
770
771 35616 static void TX_NAME(ff_tx_fft)(AVTXContext *s, void *_dst,
772 void *_src, ptrdiff_t stride)
773 {
774 35616 TXComplex *src = _src;
775
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 35616 TXComplex *dst1 = s->flags & AV_TX_INPLACE ? s->tmp : _dst;
776 35616 TXComplex *dst2 = _dst;
777 35616 int *map = s->sub[0].map;
778 35616 int len = s->len;
779
780 /* Compilers can't vectorize this anyway without assuming AVX2, which they
781 * generally don't, at least without -march=native -mtune=native */
782
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 11013910 for (int i = 0; i < len; i++)
783 10978294 dst1[i] = src[map[i]];
784
785 35616 s->fn[0](&s->sub[0], dst2, dst1, stride);
786 35616 }
787
788 ✗ static void TX_NAME(ff_tx_fft_inplace)(AVTXContext *s, void *_dst,
789 void *_src, ptrdiff_t stride)
790 {
791 ✗ TXComplex *src = _src;
792 ✗ TXComplex *dst = _dst;
793 TXComplex tmp;
794 ✗ const int *map = s->sub->map;
795 ✗ const int *inplace_idx = s->map;
796 int src_idx, dst_idx;
797
798 ✗ src_idx = *inplace_idx++;
799 do {
800 ✗ tmp = src[src_idx];
801 ✗ dst_idx = map[src_idx];
802 do {
803 ✗ FFSWAP(TXComplex, tmp, src[dst_idx]);
804 ✗ dst_idx = map[dst_idx];
805 ✗ } while (dst_idx != src_idx); /* Can be > as well, but was less predictable */
806 ✗ src[dst_idx] = tmp;
807 ✗ } while ((src_idx = *inplace_idx++));
808
809 ✗ s->fn[0](&s->sub[0], dst, src, stride);
810 ✗ }
811
812 static const FFTXCodelet TX_NAME(ff_tx_fft_def) = {
813 .name = TX_NAME_STR("fft"),
814 .function = TX_NAME(ff_tx_fft),
815 .type = TX_TYPE(FFT),
816 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE,
817 .factors[0] = TX_FACTOR_ANY,
818 .nb_factors = 1,
819 .min_len = 2,
820 .max_len = TX_LEN_UNLIMITED,
821 .init = TX_NAME(ff_tx_fft_init),
822 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
823 .prio = FF_TX_PRIO_BASE,
824 };
825
826 static const FFTXCodelet TX_NAME(ff_tx_fft_inplace_small_def) = {
827 .name = TX_NAME_STR("fft_inplace_small"),
828 .function = TX_NAME(ff_tx_fft),
829 .type = TX_TYPE(FFT),
830 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | AV_TX_INPLACE,
831 .factors[0] = TX_FACTOR_ANY,
832 .nb_factors = 1,
833 .min_len = 2,
834 .max_len = 65536,
835 .init = TX_NAME(ff_tx_fft_inplace_small_init),
836 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
837 .prio = FF_TX_PRIO_BASE - 256,
838 };
839
840 static const FFTXCodelet TX_NAME(ff_tx_fft_inplace_def) = {
841 .name = TX_NAME_STR("fft_inplace"),
842 .function = TX_NAME(ff_tx_fft_inplace),
843 .type = TX_TYPE(FFT),
844 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | AV_TX_INPLACE,
845 .factors[0] = TX_FACTOR_ANY,
846 .nb_factors = 1,
847 .min_len = 2,
848 .max_len = TX_LEN_UNLIMITED,
849 .init = TX_NAME(ff_tx_fft_init),
850 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
851 .prio = FF_TX_PRIO_BASE - 512,
852 };
853
854 8 static av_cold int TX_NAME(ff_tx_fft_init_naive_small)(AVTXContext *s,
855 const FFTXCodelet *cd,
856 uint64_t flags,
857 FFTXCodeletOptions *opts,
858 int len, int inv,
859 const void *scale)
860 {
861
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 8 const double phase = s->inv ? 2.0*M_PI/len : -2.0*M_PI/len;
862
863
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 8 if (!(s->exp = av_malloc(len*len*sizeof(*s->exp))))
864 ✗ return AVERROR(ENOMEM);
865
866
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 112 for (int i = 0; i < len; i++) {
867
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 1456 for (int j = 0; j < len; j++) {
868 1352 const double factor = phase*i*j;
869 1352 s->exp[i*j] = (TXComplex){
870 1352 RESCALE(cos(factor)),
871 1352 RESCALE(sin(factor)),
872 };
873 }
874 }
875
876 8 return 0;
877 }
878
879 ✗ static void TX_NAME(ff_tx_fft_naive)(AVTXContext *s, void *_dst, void *_src,
880 ptrdiff_t stride)
881 {
882 ✗ TXComplex *src = _src;
883 ✗ TXComplex *dst = _dst;
884 ✗ const int n = s->len;
885 ✗ double phase = s->inv ? 2.0*M_PI/n : -2.0*M_PI/n;
886
887 ✗ stride /= sizeof(*dst);
888
889 ✗ for (int i = 0; i < n; i++) {
890 ✗ TXComplex tmp = { 0 };
891 ✗ for (int j = 0; j < n; j++) {
892 ✗ const double factor = phase*i*j;
893 ✗ const TXComplex mult = {
894 ✗ RESCALE(cos(factor)),
895 ✗ RESCALE(sin(factor)),
896 };
897 TXComplex res;
898 ✗ CMUL3(res, src[j], mult);
899 ✗ tmp.re += res.re;
900 ✗ tmp.im += res.im;
901 }
902 ✗ dst[i*stride] = tmp;
903 }
904 ✗ }
905
906 28070 static void TX_NAME(ff_tx_fft_naive_small)(AVTXContext *s, void *_dst, void *_src,
907 ptrdiff_t stride)
908 {
909 28070 TXComplex *src = _src;
910 28070 TXComplex *dst = _dst;
911 28070 const int n = s->len;
912
913 28070 stride /= sizeof(*dst);
914
915
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 392980 for (int i = 0; i < n; i++) {
916 364910 TXComplex tmp = { 0 };
917
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 5108740 for (int j = 0; j < n; j++) {
918 TXComplex res;
919 4743830 const TXComplex mult = s->exp[i*j];
920 4743830 CMUL3(res, src[j], mult);
921 4743830 tmp.re += res.re;
922 4743830 tmp.im += res.im;
923 }
924 364910 dst[i*stride] = tmp;
925 }
926 28070 }
927
928 static const FFTXCodelet TX_NAME(ff_tx_fft_naive_small_def) = {
929 .name = TX_NAME_STR("fft_naive_small"),
930 .function = TX_NAME(ff_tx_fft_naive_small),
931 .type = TX_TYPE(FFT),
932 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE,
933 .factors[0] = TX_FACTOR_ANY,
934 .nb_factors = 1,
935 .min_len = 2,
936 .max_len = 1024,
937 .init = TX_NAME(ff_tx_fft_init_naive_small),
938 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
939 .prio = FF_TX_PRIO_MIN/2,
940 };
941
942 static const FFTXCodelet TX_NAME(ff_tx_fft_naive_def) = {
943 .name = TX_NAME_STR("fft_naive"),
944 .function = TX_NAME(ff_tx_fft_naive),
945 .type = TX_TYPE(FFT),
946 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE,
947 .factors[0] = TX_FACTOR_ANY,
948 .nb_factors = 1,
949 .min_len = 2,
950 .max_len = TX_LEN_UNLIMITED,
951 .init = NULL,
952 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
953 .prio = FF_TX_PRIO_MIN,
954 };
955
956 4105 static av_cold int TX_NAME(ff_tx_fft_pfa_init)(AVTXContext *s,
957 const FFTXCodelet *cd,
958 uint64_t flags,
959 FFTXCodeletOptions *opts,
960 int len, int inv,
961 const void *scale)
962 {
963 4105 int ret, *tmp, ps = flags & FF_TX_PRESHUFFLE;
964 4105 FFTXCodeletOptions sub_opts = { .map_dir = FF_TX_MAP_GATHER };
965 4105 size_t extra_tmp_len = 0;
966 int len_list[TX_MAX_DECOMPOSITIONS];
967
968
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 4105 if ((ret = ff_tx_decompose_length(len_list, TX_TYPE(FFT), len, inv)) < 0)
969 4014 return ret;
970
971 /* Two iterations to test both orderings. */
972
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 91 for (int i = 0; i < ret; i++) {
973 91 int len1 = len_list[i];
974 91 int len2 = len / len1;
975
976 /* Our ptwo transforms don't support striding the output. */
977
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 91 if (len2 & (len2 - 1))
978 66 FFSWAP(int, len1, len2);
979
980 91 ff_tx_clear_ctx(s);
981
982 /* First transform */
983 91 sub_opts.map_dir = FF_TX_MAP_GATHER;
984 91 flags &= ~AV_TX_INPLACE;
985 91 flags |= FF_TX_OUT_OF_PLACE;
986 91 flags |= FF_TX_PRESHUFFLE; /* This function handles the permute step */
987 91 ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
988 len1, inv, scale);
989
990
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 91 if (ret == AVERROR(ENOMEM)) {
991 ✗ return ret;
992
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 91 } else if (ret < 0) { /* Try again without a preshuffle flag */
993 8 flags &= ~FF_TX_PRESHUFFLE;
994 8 ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
995 len1, inv, scale);
996
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 8 if (ret == AVERROR(ENOMEM))
997 ✗ return ret;
998
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 8 else if (ret < 0)
999 ✗ continue;
1000 }
1001
1002 /* Second transform. */
1003 91 sub_opts.map_dir = FF_TX_MAP_SCATTER;
1004 91 flags |= FF_TX_PRESHUFFLE;
1005 91 retry:
1006 91 flags &= ~FF_TX_OUT_OF_PLACE;
1007 91 flags |= AV_TX_INPLACE;
1008 91 ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
1009 len2, inv, scale);
1010
1011
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 91 if (ret == AVERROR(ENOMEM)) {
1012 ✗ return ret;
1013
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 91 } else if (ret < 0) { /* Try again with an out-of-place transform */
1014 ✗ flags |= FF_TX_OUT_OF_PLACE;
1015 ✗ flags &= ~AV_TX_INPLACE;
1016 ✗ ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
1017 len2, inv, scale);
1018 ✗ if (ret == AVERROR(ENOMEM)) {
1019 ✗ return ret;
1020 ✗ } else if (ret < 0) {
1021 ✗ if (flags & FF_TX_PRESHUFFLE) { /* Retry again without a preshuf flag */
1022 ✗ flags &= ~FF_TX_PRESHUFFLE;
1023 ✗ goto retry;
1024 } else {
1025 ✗ continue;
1026 }
1027 }
1028 }
1029
1030 /* Success */
1031 91 break;
1032 }
1033
1034 /* If nothing was sucessful, error out */
1035
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 91 if (ret < 0)
1036 ✗ return ret;
1037
1038 /* Generate PFA map */
1039
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 91 if ((ret = ff_tx_gen_compound_mapping(s, opts, 0,
1040 91 s->sub[0].len, s->sub[1].len)))
1041 ✗ return ret;
1042
1043
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 91 if (!(s->tmp = av_malloc(len*sizeof(*s->tmp))))
1044 ✗ return AVERROR(ENOMEM);
1045
1046 /* Flatten input map */
1047 91 tmp = (int *)s->tmp;
1048
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 5203 for (int k = 0; k < len; k += s->sub[0].len) {
1049 5112 memcpy(tmp, &s->map[k], s->sub[0].len*sizeof(*tmp));
1050
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 81136 for (int i = 0; i < s->sub[0].len; i++)
1051 76024 s->map[k + i] = tmp[s->sub[0].map[i]];
1052 }
1053
1054 /* Only allocate extra temporary memory if we need it */
1055
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 91 if (!(s->sub[1].flags & AV_TX_INPLACE))
1056 ✗ extra_tmp_len = len;
1057
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 91 else if (!ps)
1058 91 extra_tmp_len = s->sub[0].len;
1059
1060
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 91 if (extra_tmp_len && !(s->exp = av_malloc(extra_tmp_len*sizeof(*s->exp))))
1061 ✗ return AVERROR(ENOMEM);
1062
1063 91 return 0;
1064 }
1065
1066 11243 static void TX_NAME(ff_tx_fft_pfa)(AVTXContext *s, void *_out,
1067 void *_in, ptrdiff_t stride)
1068 {
1069 11243 const int n = s->sub[0].len, m = s->sub[1].len, l = s->len;
1070 11243 const int *in_map = s->map, *out_map = in_map + l;
1071 11243 const int *sub_map = s->sub[1].map;
1072
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 11243 TXComplex *tmp1 = s->sub[1].flags & AV_TX_INPLACE ? s->tmp : s->exp;
1073 11243 TXComplex *in = _in, *out = _out;
1074
1075 11243 stride /= sizeof(*out);
1076
1077
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 90839 for (int i = 0; i < m; i++) {
1078
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 813188 for (int j = 0; j < n; j++)
1079 733592 s->exp[j] = in[in_map[i*n + j]];
1080 79596 s->fn[0](&s->sub[0], &s->tmp[sub_map[i]], s->exp, m*sizeof(TXComplex));
1081 }
1082
1083
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 123748 for (int i = 0; i < n; i++)
1084 112505 s->fn[1](&s->sub[1], &tmp1[m*i], &s->tmp[m*i], sizeof(TXComplex));
1085
1086
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 744835 for (int i = 0; i < l; i++)
1087 733592 out[i*stride] = tmp1[out_map[i]];
1088 11243 }
1089
1090 ✗ static void TX_NAME(ff_tx_fft_pfa_ns)(AVTXContext *s, void *_out,
1091 void *_in, ptrdiff_t stride)
1092 {
1093 ✗ const int n = s->sub[0].len, m = s->sub[1].len, l = s->len;
1094 ✗ const int *in_map = s->map, *out_map = in_map + l;
1095 ✗ const int *sub_map = s->sub[1].map;
1096 ✗ TXComplex *tmp1 = s->sub[1].flags & AV_TX_INPLACE ? s->tmp : s->exp;
1097 ✗ TXComplex *in = _in, *out = _out;
1098
1099 ✗ stride /= sizeof(*out);
1100
1101 ✗ for (int i = 0; i < m; i++)
1102 ✗ s->fn[0](&s->sub[0], &s->tmp[sub_map[i]], &in[i*n], m*sizeof(TXComplex));
1103
1104 ✗ for (int i = 0; i < n; i++)
1105 ✗ s->fn[1](&s->sub[1], &tmp1[m*i], &s->tmp[m*i], sizeof(TXComplex));
1106
1107 ✗ for (int i = 0; i < l; i++)
1108 ✗ out[i*stride] = tmp1[out_map[i]];
1109 ✗ }
1110
1111 static const FFTXCodelet TX_NAME(ff_tx_fft_pfa_def) = {
1112 .name = TX_NAME_STR("fft_pfa"),
1113 .function = TX_NAME(ff_tx_fft_pfa),
1114 .type = TX_TYPE(FFT),
1115 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE,
1116 .factors = { 7, 5, 3, 2, TX_FACTOR_ANY },
1117 .nb_factors = 2,
1118 .min_len = 2*3,
1119 .max_len = TX_LEN_UNLIMITED,
1120 .init = TX_NAME(ff_tx_fft_pfa_init),
1121 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1122 .prio = FF_TX_PRIO_BASE,
1123 };
1124
1125 static const FFTXCodelet TX_NAME(ff_tx_fft_pfa_ns_def) = {
1126 .name = TX_NAME_STR("fft_pfa_ns"),
1127 .function = TX_NAME(ff_tx_fft_pfa_ns),
1128 .type = TX_TYPE(FFT),
1129 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE |
1130 FF_TX_PRESHUFFLE,
1131 .factors = { 7, 5, 3, 2, TX_FACTOR_ANY },
1132 .nb_factors = 2,
1133 .min_len = 2*3,
1134 .max_len = TX_LEN_UNLIMITED,
1135 .init = TX_NAME(ff_tx_fft_pfa_init),
1136 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1137 .prio = FF_TX_PRIO_BASE,
1138 };
1139
1140 ✗ static av_cold int TX_NAME(ff_tx_mdct_naive_init)(AVTXContext *s,
1141 const FFTXCodelet *cd,
1142 uint64_t flags,
1143 FFTXCodeletOptions *opts,
1144 int len, int inv,
1145 const void *scale)
1146 {
1147 ✗ s->scale_d = *((SCALE_TYPE *)scale);
1148 ✗ s->scale_f = s->scale_d;
1149 ✗ return 0;
1150 }
1151
1152 ✗ static void TX_NAME(ff_tx_mdct_naive_fwd)(AVTXContext *s, void *_dst,
1153 void *_src, ptrdiff_t stride)
1154 {
1155 ✗ TXSample *src = _src;
1156 ✗ TXSample *dst = _dst;
1157 ✗ double scale = s->scale_d;
1158 ✗ int len = s->len;
1159 ✗ const double phase = M_PI/(4.0*len);
1160
1161 ✗ stride /= sizeof(*dst);
1162
1163 ✗ for (int i = 0; i < len; i++) {
1164 ✗ double sum = 0.0;
1165 ✗ for (int j = 0; j < len*2; j++) {
1166 ✗ int a = (2*j + 1 + len) * (2*i + 1);
1167 ✗ sum += UNSCALE(src[j]) * cos(a * phase);
1168 }
1169 ✗ dst[i*stride] = RESCALE(sum*scale);
1170 }
1171 ✗ }
1172
1173 ✗ static void TX_NAME(ff_tx_mdct_naive_inv)(AVTXContext *s, void *_dst,
1174 void *_src, ptrdiff_t stride)
1175 {
1176 ✗ TXSample *src = _src;
1177 ✗ TXSample *dst = _dst;
1178 ✗ double scale = s->scale_d;
1179 ✗ int len = s->len >> 1;
1180 ✗ int len2 = len*2;
1181 ✗ const double phase = M_PI/(4.0*len2);
1182
1183 ✗ stride /= sizeof(*src);
1184
1185 ✗ for (int i = 0; i < len; i++) {
1186 ✗ double sum_d = 0.0;
1187 ✗ double sum_u = 0.0;
1188 ✗ double i_d = phase * (4*len - 2*i - 1);
1189 ✗ double i_u = phase * (3*len2 + 2*i + 1);
1190 ✗ for (int j = 0; j < len2; j++) {
1191 ✗ double a = (2 * j + 1);
1192 ✗ double a_d = cos(a * i_d);
1193 ✗ double a_u = cos(a * i_u);
1194 ✗ double val = UNSCALE(src[j*stride]);
1195 ✗ sum_d += a_d * val;
1196 ✗ sum_u += a_u * val;
1197 }
1198 ✗ dst[i + 0] = RESCALE( sum_d*scale);
1199 ✗ dst[i + len] = RESCALE(-sum_u*scale);
1200 }
1201 ✗ }
1202
1203 static const FFTXCodelet TX_NAME(ff_tx_mdct_naive_fwd_def) = {
1204 .name = TX_NAME_STR("mdct_naive_fwd"),
1205 .function = TX_NAME(ff_tx_mdct_naive_fwd),
1206 .type = TX_TYPE(MDCT),
1207 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY,
1208 .factors = { 2, TX_FACTOR_ANY }, /* MDCTs need an even length */
1209 .nb_factors = 2,
1210 .min_len = 2,
1211 .max_len = TX_LEN_UNLIMITED,
1212 .init = TX_NAME(ff_tx_mdct_naive_init),
1213 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1214 .prio = FF_TX_PRIO_MIN,
1215 };
1216
1217 static const FFTXCodelet TX_NAME(ff_tx_mdct_naive_inv_def) = {
1218 .name = TX_NAME_STR("mdct_naive_inv"),
1219 .function = TX_NAME(ff_tx_mdct_naive_inv),
1220 .type = TX_TYPE(MDCT),
1221 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY,
1222 .factors = { 2, TX_FACTOR_ANY },
1223 .nb_factors = 2,
1224 .min_len = 2,
1225 .max_len = TX_LEN_UNLIMITED,
1226 .init = TX_NAME(ff_tx_mdct_naive_init),
1227 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1228 .prio = FF_TX_PRIO_MIN,
1229 };
1230
1231 2497 static av_cold int TX_NAME(ff_tx_mdct_init)(AVTXContext *s,
1232 const FFTXCodelet *cd,
1233 uint64_t flags,
1234 FFTXCodeletOptions *opts,
1235 int len, int inv,
1236 const void *scale)
1237 {
1238 int ret;
1239 2497 FFTXCodeletOptions sub_opts = {
1240
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 2497 .map_dir = !inv ? FF_TX_MAP_SCATTER : FF_TX_MAP_GATHER,
1241 };
1242
1243 2497 s->scale_d = *((SCALE_TYPE *)scale);
1244 2497 s->scale_f = s->scale_d;
1245
1246 2497 flags &= ~FF_TX_OUT_OF_PLACE; /* We want the subtransform to be */
1247 2497 flags |= AV_TX_INPLACE; /* in-place */
1248 2497 flags |= FF_TX_PRESHUFFLE; /* First try with an in-place transform */
1249
1250
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 2497 if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts, len >> 1,
1251 inv, scale))) {
1252 13 flags &= ~FF_TX_PRESHUFFLE; /* Now try with a generic FFT */
1253
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 13 if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts, len >> 1,
1254 inv, scale)))
1255 ✗ return ret;
1256 }
1257
1258 2497 s->map = av_malloc((len >> 1)*sizeof(*s->map));
1259
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 2497 if (!s->map)
1260 ✗ return AVERROR(ENOMEM);
1261
1262 /* If we need to preshuffle copy the map from the subcontext */
1263
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 2497 if (s->sub[0].flags & FF_TX_PRESHUFFLE) {
1264 2484 memcpy(s->map, s->sub->map, (len >> 1)*sizeof(*s->map));
1265 } else {
1266
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 26 for (int i = 0; i < len >> 1; i++)
1267 13 s->map[i] = i;
1268 }
1269
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 2497 if ((ret = TX_TAB(ff_tx_mdct_gen_exp)(s, inv ? s->map : NULL)))
1271 ✗ return ret;
1272
1273 /* Saves a multiply in a hot path. */
1274
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 2497 if (inv)
1275
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 485294 for (int i = 0; i < (s->len >> 1); i++)
1276 483147 s->map[i] <<= 1;
1277
1278 2497 return 0;
1279 }
1280
1281 27680 static void TX_NAME(ff_tx_mdct_fwd)(AVTXContext *s, void *_dst, void *_src,
1282 ptrdiff_t stride)
1283 {
1284 27680 TXSample *src = _src, *dst = _dst;
1285 27680 TXComplex *exp = s->exp, tmp, *z = _dst;
1286 27680 const int len2 = s->len >> 1;
1287 27680 const int len4 = s->len >> 2;
1288 27680 const int len3 = len2 * 3;
1289 27680 const int *sub_map = s->map;
1290
1291 27680 stride /= sizeof(*dst);
1292
1293
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 7505696 for (int i = 0; i < len2; i++) { /* Folding and pre-reindexing */
1294 7478016 const int k = 2*i;
1295 7478016 const int idx = sub_map[i];
1296
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 7478016 if (k < len2) {
1297 3739008 tmp.re = FOLD(-src[ len2 + k], src[1*len2 - 1 - k]);
1298 3739008 tmp.im = FOLD(-src[ len3 + k], -src[1*len3 - 1 - k]);
1299 } else {
1300 3739008 tmp.re = FOLD(-src[ len2 + k], -src[5*len2 - 1 - k]);
1301 3739008 tmp.im = FOLD( src[-len2 + k], -src[1*len3 - 1 - k]);
1302 }
1303 7478016 CMUL(z[idx].im, z[idx].re, tmp.re, tmp.im, exp[i].re, exp[i].im);
1304 }
1305
1306 27680 s->fn[0](&s->sub[0], z, z, sizeof(TXComplex));
1307
1308
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 3766688 for (int i = 0; i < len4; i++) {
1309 3739008 const int i0 = len4 + i, i1 = len4 - i - 1;
1310 3739008 TXComplex src1 = { z[i1].re, z[i1].im };
1311 3739008 TXComplex src0 = { z[i0].re, z[i0].im };
1312
1313 3739008 CMUL(dst[2*i1*stride + stride], dst[2*i0*stride], src0.re, src0.im,
1314 exp[i0].im, exp[i0].re);
1315 3739008 CMUL(dst[2*i0*stride + stride], dst[2*i1*stride], src1.re, src1.im,
1316 exp[i1].im, exp[i1].re);
1317 }
1318 27680 }
1319
1320 2342013 static void TX_NAME(ff_tx_mdct_inv)(AVTXContext *s, void *_dst, void *_src,
1321 ptrdiff_t stride)
1322 {
1323 2342013 TXComplex *z = _dst, *exp = s->exp;
1324 2342013 const TXSample *src = _src, *in1, *in2;
1325 2342013 const int len2 = s->len >> 1;
1326 2342013 const int len4 = s->len >> 2;
1327 2342013 const int *sub_map = s->map;
1328
1329 2342013 stride /= sizeof(*src);
1330 2342013 in1 = src;
1331 2342013 in2 = src + ((len2*2) - 1) * stride;
1332
1333
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 124042611 for (int i = 0; i < len2; i++) {
1334 121700598 int k = sub_map[i];
1335 121700598 TXComplex tmp = { in2[-k*stride], in1[k*stride] };
1336 121700598 CMUL3(z[i], tmp, exp[i]);
1337 }
1338
1339 2342013 s->fn[0](&s->sub[0], z, z, sizeof(TXComplex));
1340
1341 2342013 exp += len2;
1342
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 63192311 for (int i = 0; i < len4; i++) {
1343 60850298 const int i0 = len4 + i, i1 = len4 - i - 1;
1344 60850298 TXComplex src1 = { z[i1].im, z[i1].re };
1345 60850298 TXComplex src0 = { z[i0].im, z[i0].re };
1346
1347 60850298 CMUL(z[i1].re, z[i0].im, src1.re, src1.im, exp[i1].im, exp[i1].re);
1348 60850298 CMUL(z[i0].re, z[i1].im, src0.re, src0.im, exp[i0].im, exp[i0].re);
1349 }
1350 2342013 }
1351
1352 static const FFTXCodelet TX_NAME(ff_tx_mdct_fwd_def) = {
1353 .name = TX_NAME_STR("mdct_fwd"),
1354 .function = TX_NAME(ff_tx_mdct_fwd),
1355 .type = TX_TYPE(MDCT),
1356 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY,
1357 .factors = { 2, TX_FACTOR_ANY },
1358 .nb_factors = 2,
1359 .min_len = 2,
1360 .max_len = TX_LEN_UNLIMITED,
1361 .init = TX_NAME(ff_tx_mdct_init),
1362 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1363 .prio = FF_TX_PRIO_BASE,
1364 };
1365
1366 static const FFTXCodelet TX_NAME(ff_tx_mdct_inv_def) = {
1367 .name = TX_NAME_STR("mdct_inv"),
1368 .function = TX_NAME(ff_tx_mdct_inv),
1369 .type = TX_TYPE(MDCT),
1370 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY,
1371 .factors = { 2, TX_FACTOR_ANY },
1372 .nb_factors = 2,
1373 .min_len = 2,
1374 .max_len = TX_LEN_UNLIMITED,
1375 .init = TX_NAME(ff_tx_mdct_init),
1376 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1377 .prio = FF_TX_PRIO_BASE,
1378 };
1379
1380 69 static av_cold int TX_NAME(ff_tx_mdct_inv_full_init)(AVTXContext *s,
1381 const FFTXCodelet *cd,
1382 uint64_t flags,
1383 FFTXCodeletOptions *opts,
1384 int len, int inv,
1385 const void *scale)
1386 {
1387 int ret;
1388
1389 69 s->scale_d = *((SCALE_TYPE *)scale);
1390 69 s->scale_f = s->scale_d;
1391
1392 69 flags &= ~AV_TX_FULL_IMDCT;
1393
1394
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 69 if ((ret = ff_tx_init_subtx(s, TX_TYPE(MDCT), flags, NULL, len, 1, scale)))
1395 ✗ return ret;
1396
1397 69 return 0;
1398 }
1399
1400 26234 static void TX_NAME(ff_tx_mdct_inv_full)(AVTXContext *s, void *_dst,
1401 void *_src, ptrdiff_t stride)
1402 {
1403 26234 int len = s->len << 1;
1404 26234 int len2 = len >> 1;
1405 26234 int len4 = len >> 2;
1406 26234 TXSample *dst = _dst;
1407
1408 26234 s->fn[0](&s->sub[0], dst + len4, _src, stride);
1409
1410 26234 stride /= sizeof(*dst);
1411
1412
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 3190522 for (int i = 0; i < len4; i++) {
1413 3164288 dst[ i*stride] = -dst[(len2 - i - 1)*stride];
1414 3164288 dst[(len - i - 1)*stride] = dst[(len2 + i + 0)*stride];
1415 }
1416 26234 }
1417
1418 static const FFTXCodelet TX_NAME(ff_tx_mdct_inv_full_def) = {
1419 .name = TX_NAME_STR("mdct_inv_full"),
1420 .function = TX_NAME(ff_tx_mdct_inv_full),
1421 .type = TX_TYPE(MDCT),
1422 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE |
1423 FF_TX_OUT_OF_PLACE | AV_TX_FULL_IMDCT,
1424 .factors = { 2, TX_FACTOR_ANY },
1425 .nb_factors = 2,
1426 .min_len = 2,
1427 .max_len = TX_LEN_UNLIMITED,
1428 .init = TX_NAME(ff_tx_mdct_inv_full_init),
1429 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1430 .prio = FF_TX_PRIO_BASE,
1431 };
1432
1433 1595 static av_cold int TX_NAME(ff_tx_mdct_pfa_init)(AVTXContext *s,
1434 const FFTXCodelet *cd,
1435 uint64_t flags,
1436 FFTXCodeletOptions *opts,
1437 int len, int inv,
1438 const void *scale)
1439 {
1440 int ret, sub_len;
1441 1595 FFTXCodeletOptions sub_opts = { .map_dir = FF_TX_MAP_SCATTER };
1442
1443 1595 len >>= 1;
1444 1595 sub_len = len / cd->factors[0];
1445
1446 1595 s->scale_d = *((SCALE_TYPE *)scale);
1447 1595 s->scale_f = s->scale_d;
1448
1449 1595 flags &= ~FF_TX_OUT_OF_PLACE; /* We want the subtransform to be */
1450 1595 flags |= AV_TX_INPLACE; /* in-place */
1451 1595 flags |= FF_TX_PRESHUFFLE; /* This function handles the permute step */
1452
1453
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 1595 if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, &sub_opts,
1454 sub_len, inv, scale)))
1455 ✗ return ret;
1456
1457
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 1595 if ((ret = ff_tx_gen_compound_mapping(s, opts, s->inv, cd->factors[0], sub_len)))
1458 ✗ return ret;
1459
1460 /* Our 15-point transform is also a compound one, so embed its input map */
1461
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 1595 if (cd->factors[0] == 15)
1462
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 365809 TX_EMBED_INPUT_PFA_MAP(s->map, len, 3, 5);
1463
1464
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 1595 if ((ret = TX_TAB(ff_tx_mdct_gen_exp)(s, inv ? s->map : NULL)))
1465 ✗ return ret;
1466
1467 /* Saves multiplies in loops. */
1468
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 391231 for (int i = 0; i < len; i++)
1469 389636 s->map[i] <<= 1;
1470
1471
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 1595 if (!(s->tmp = av_malloc(len*sizeof(*s->tmp))))
1472 ✗ return AVERROR(ENOMEM);
1473
1474 1595 TX_TAB(ff_tx_init_tabs)(len / sub_len);
1475
1476 1595 return 0;
1477 }
1478
1479 #define DECL_COMP_IMDCT(N) \
1480 static void TX_NAME(ff_tx_mdct_pfa_##N##xM_inv)(AVTXContext *s, void *_dst, \
1481 void *_src, ptrdiff_t stride) \
1482 { \
1483 TXComplex fft##N##in[N]; \
1484 TXComplex *z = _dst, *exp = s->exp; \
1485 const TXSample *src = _src, *in1, *in2; \
1486 const int len4 = s->len >> 2; \
1487 const int len2 = s->len >> 1; \
1488 const int m = s->sub->len; \
1489 const int *in_map = s->map, *out_map = in_map + N*m; \
1490 const int *sub_map = s->sub->map; \
1491 \
1492 stride /= sizeof(*src); /* To convert it from bytes */ \
1493 in1 = src; \
1494 in2 = src + ((N*m*2) - 1) * stride; \
1495 \
1496 for (int i = 0; i < len2; i += N) { \
1497 for (int j = 0; j < N; j++) { \
1498 const int k = in_map[j]; \
1499 TXComplex tmp = { in2[-k*stride], in1[k*stride] }; \
1500 CMUL3(fft##N##in[j], tmp, exp[j]); \
1501 } \
1502 fft##N(s->tmp + *(sub_map++), fft##N##in, m); \
1503 exp += N; \
1504 in_map += N; \
1505 } \
1506 \
1507 for (int i = 0; i < N; i++) \
1508 s->fn[0](&s->sub[0], s->tmp + m*i, s->tmp + m*i, sizeof(TXComplex)); \
1509 \
1510 for (int i = 0; i < len4; i++) { \
1511 const int i0 = len4 + i, i1 = len4 - i - 1; \
1512 const int s0 = out_map[i0], s1 = out_map[i1]; \
1513 TXComplex src1 = { s->tmp[s1].im, s->tmp[s1].re }; \
1514 TXComplex src0 = { s->tmp[s0].im, s->tmp[s0].re }; \
1515 \
1516 CMUL(z[i1].re, z[i0].im, src1.re, src1.im, exp[i1].im, exp[i1].re); \
1517 CMUL(z[i0].re, z[i1].im, src0.re, src0.im, exp[i0].im, exp[i0].re); \
1518 } \
1519 } \
1520 \
1521 static const FFTXCodelet TX_NAME(ff_tx_mdct_pfa_##N##xM_inv_def) = { \
1522 .name = TX_NAME_STR("mdct_pfa_" #N "xM_inv"), \
1523 .function = TX_NAME(ff_tx_mdct_pfa_##N##xM_inv), \
1524 .type = TX_TYPE(MDCT), \
1525 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY, \
1526 .factors = { N, TX_FACTOR_ANY }, \
1527 .nb_factors = 2, \
1528 .min_len = N*2, \
1529 .max_len = TX_LEN_UNLIMITED, \
1530 .init = TX_NAME(ff_tx_mdct_pfa_init), \
1531 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
1532 .prio = FF_TX_PRIO_BASE, \
1533 };
1534
1535 ✗ DECL_COMP_IMDCT(3)
1536
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 56990 DECL_COMP_IMDCT(5)
1537 ✗ DECL_COMP_IMDCT(7)
1538 ✗ DECL_COMP_IMDCT(9)
1539
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 22568334 DECL_COMP_IMDCT(15)
1540
1541 #define DECL_COMP_MDCT(N) \
1542 static void TX_NAME(ff_tx_mdct_pfa_##N##xM_fwd)(AVTXContext *s, void *_dst, \
1543 void *_src, ptrdiff_t stride) \
1544 { \
1545 TXComplex fft##N##in[N]; \
1546 TXSample *src = _src, *dst = _dst; \
1547 TXComplex *exp = s->exp, tmp; \
1548 const int m = s->sub->len; \
1549 const int len4 = N*m; \
1550 const int len3 = len4 * 3; \
1551 const int len8 = s->len >> 2; \
1552 const int *in_map = s->map, *out_map = in_map + N*m; \
1553 const int *sub_map = s->sub->map; \
1554 \
1555 stride /= sizeof(*dst); \
1556 \
1557 for (int i = 0; i < m; i++) { /* Folding and pre-reindexing */ \
1558 for (int j = 0; j < N; j++) { \
1559 const int k = in_map[i*N + j]; \
1560 if (k < len4) { \
1561 tmp.re = FOLD(-src[ len4 + k], src[1*len4 - 1 - k]); \
1562 tmp.im = FOLD(-src[ len3 + k], -src[1*len3 - 1 - k]); \
1563 } else { \
1564 tmp.re = FOLD(-src[ len4 + k], -src[5*len4 - 1 - k]); \
1565 tmp.im = FOLD( src[-len4 + k], -src[1*len3 - 1 - k]); \
1566 } \
1567 CMUL(fft##N##in[j].im, fft##N##in[j].re, tmp.re, tmp.im, \
1568 exp[k >> 1].re, exp[k >> 1].im); \
1569 } \
1570 fft##N(s->tmp + sub_map[i], fft##N##in, m); \
1571 } \
1572 \
1573 for (int i = 0; i < N; i++) \
1574 s->fn[0](&s->sub[0], s->tmp + m*i, s->tmp + m*i, sizeof(TXComplex)); \
1575 \
1576 for (int i = 0; i < len8; i++) { \
1577 const int i0 = len8 + i, i1 = len8 - i - 1; \
1578 const int s0 = out_map[i0], s1 = out_map[i1]; \
1579 TXComplex src1 = { s->tmp[s1].re, s->tmp[s1].im }; \
1580 TXComplex src0 = { s->tmp[s0].re, s->tmp[s0].im }; \
1581 \
1582 CMUL(dst[2*i1*stride + stride], dst[2*i0*stride], src0.re, src0.im, \
1583 exp[i0].im, exp[i0].re); \
1584 CMUL(dst[2*i0*stride + stride], dst[2*i1*stride], src1.re, src1.im, \
1585 exp[i1].im, exp[i1].re); \
1586 } \
1587 } \
1588 \
1589 static const FFTXCodelet TX_NAME(ff_tx_mdct_pfa_##N##xM_fwd_def) = { \
1590 .name = TX_NAME_STR("mdct_pfa_" #N "xM_fwd"), \
1591 .function = TX_NAME(ff_tx_mdct_pfa_##N##xM_fwd), \
1592 .type = TX_TYPE(MDCT), \
1593 .flags = AV_TX_UNALIGNED | FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY, \
1594 .factors = { N, TX_FACTOR_ANY }, \
1595 .nb_factors = 2, \
1596 .min_len = N*2, \
1597 .max_len = TX_LEN_UNLIMITED, \
1598 .init = TX_NAME(ff_tx_mdct_pfa_init), \
1599 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
1600 .prio = FF_TX_PRIO_BASE, \
1601 };
1602
1603 ✗ DECL_COMP_MDCT(3)
1604 ✗ DECL_COMP_MDCT(5)
1605 ✗ DECL_COMP_MDCT(7)
1606 ✗ DECL_COMP_MDCT(9)
1607 ✗ DECL_COMP_MDCT(15)
1608
1609 59 static av_cold int TX_NAME(ff_tx_rdft_init)(AVTXContext *s,
1610 const FFTXCodelet *cd,
1611 uint64_t flags,
1612 FFTXCodeletOptions *opts,
1613 int len, int inv,
1614 const void *scale)
1615 {
1616 int ret;
1617 double f, m;
1618 TXSample *tab;
1619 59 uint64_t r2r = flags & AV_TX_REAL_TO_REAL;
1620 59 int len4 = FFALIGN(len, 4) / 4;
1621
1622 59 s->scale_d = *((SCALE_TYPE *)scale);
1623 59 s->scale_f = s->scale_d;
1624
1625 59 flags &= ~(AV_TX_REAL_TO_REAL | AV_TX_REAL_TO_IMAGINARY);
1626
1627
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 59 if ((ret = ff_tx_init_subtx(s, TX_TYPE(FFT), flags, NULL, len >> 1, inv, scale)))
1628 ✗ return ret;
1629
1630
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 59 if (!(s->exp = av_mallocz((8 + 2*len4)*sizeof(*s->exp))))
1631 ✗ return AVERROR(ENOMEM);
1632
1633 59 tab = (TXSample *)s->exp;
1634
1635 59 f = 2*M_PI/len;
1636
1637
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 59 m = (inv ? 2*s->scale_d : s->scale_d);
1638
1639
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 59 *tab++ = RESCALE((inv ? 0.5 : 1.0) * m);
1640
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 59 *tab++ = RESCALE(inv ? 0.5*m : 1.0*m);
1641 59 *tab++ = RESCALE( m);
1642 59 *tab++ = RESCALE(-m);
1643
1644 59 *tab++ = RESCALE( (0.5 - 0.0) * m);
1645
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 59 if (r2r)
1646 8 *tab++ = 1 / s->scale_f;
1647 else
1648 51 *tab++ = RESCALE( (0.0 - 0.5) * m);
1649 59 *tab++ = RESCALE( (0.5 - inv) * m);
1650 59 *tab++ = RESCALE(-(0.5 - inv) * m);
1651
1652
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 46147 for (int i = 0; i < len4; i++)
1653 46088 *tab++ = RESCALE(cos(i*f));
1654
1655 59 tab = ((TXSample *)s->exp) + len4 + 8;
1656
1657
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1658
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 46088 *tab++ = RESCALE(cos(((len - i*4)/4.0)*f)) * (inv ? 1 : -1);
1659
1660 59 return 0;
1661 }
1662
1663 #define DECL_RDFT(n, inv) \
1664 static void TX_NAME(ff_tx_rdft_ ##n)(AVTXContext *s, void *_dst, \
1665 void *_src, ptrdiff_t stride) \
1666 { \
1667 const int len2 = s->len >> 1; \
1668 const int len4 = s->len >> 2; \
1669 const TXSample *fact = (void *)s->exp; \
1670 const TXSample *tcos = fact + 8; \
1671 const TXSample *tsin = tcos + len4; \
1672 TXComplex *data = inv ? _src : _dst; \
1673 TXComplex t[3]; \
1674 \
1675 if (!inv) \
1676 s->fn[0](&s->sub[0], data, _src, sizeof(TXComplex)); \
1677 else \
1678 data[0].im = data[len2].re; \
1679 \
1680 /* The DC value's both components are real, but we need to change them \
1681 * into complex values. Also, the middle of the array is special-cased. \
1682 * These operations can be done before or after the loop. */ \
1683 t[0].re = data[0].re; \
1684 data[0].re = t[0].re + data[0].im; \
1685 data[0].im = t[0].re - data[0].im; \
1686 data[ 0].re = MULT(fact[0], data[ 0].re); \
1687 data[ 0].im = MULT(fact[1], data[ 0].im); \
1688 data[len4].re = MULT(fact[2], data[len4].re); \
1689 data[len4].im = MULT(fact[3], data[len4].im); \
1690 \
1691 for (int i = 1; i < len4; i++) { \
1692 /* Separate even and odd FFTs */ \
1693 t[0].re = MULT(fact[4], (data[i].re + data[len2 - i].re)); \
1694 t[0].im = MULT(fact[5], (data[i].im - data[len2 - i].im)); \
1695 t[1].re = MULT(fact[6], (data[i].im + data[len2 - i].im)); \
1696 t[1].im = MULT(fact[7], (data[i].re - data[len2 - i].re)); \
1697 \
1698 /* Apply twiddle factors to the odd FFT and add to the even FFT */ \
1699 CMUL(t[2].re, t[2].im, t[1].re, t[1].im, tcos[i], tsin[i]); \
1700 \
1701 data[ i].re = t[0].re + t[2].re; \
1702 data[ i].im = t[2].im - t[0].im; \
1703 data[len2 - i].re = t[0].re - t[2].re; \
1704 data[len2 - i].im = t[2].im + t[0].im; \
1705 } \
1706 \
1707 if (inv) { \
1708 s->fn[0](&s->sub[0], _dst, data, sizeof(TXComplex)); \
1709 } else { \
1710 /* Move [0].im to the last position, as convention requires */ \
1711 data[len2].re = data[0].im; \
1712 data[ 0].im = data[len2].im = 0; \
1713 } \
1714 } \
1715 \
1716 static const FFTXCodelet TX_NAME(ff_tx_rdft_ ##n## _def) = { \
1717 .name = TX_NAME_STR("rdft_" #n), \
1718 .function = TX_NAME(ff_tx_rdft_ ##n), \
1719 .type = TX_TYPE(RDFT), \
1720 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE | \
1721 (inv ? FF_TX_INVERSE_ONLY : FF_TX_FORWARD_ONLY), \
1722 .factors = { 4, TX_FACTOR_ANY }, \
1723 .nb_factors = 2, \
1724 .min_len = 4, \
1725 .max_len = TX_LEN_UNLIMITED, \
1726 .init = TX_NAME(ff_tx_rdft_init), \
1727 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
1728 .prio = FF_TX_PRIO_BASE, \
1729 };
1730
1731
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 1719616 DECL_RDFT(r2c, 0)
1732
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 2113920 DECL_RDFT(c2r, 1)
1733
1734 #define DECL_RDFT_HALF(n, mode, mod2) \
1735 static void TX_NAME(ff_tx_rdft_ ##n)(AVTXContext *s, void *_dst, \
1736 void *_src, ptrdiff_t stride) \
1737 { \
1738 const int len = s->len; \
1739 const int len2 = len >> 1; \
1740 const int len4 = len >> 2; \
1741 const int aligned_len4 = FFALIGN(len, 4)/4; \
1742 const TXSample *fact = (void *)s->exp; \
1743 const TXSample *tcos = fact + 8; \
1744 const TXSample *tsin = tcos + aligned_len4; \
1745 TXComplex *data = _dst; \
1746 TXSample *out = _dst; /* Half-complex is forward-only */ \
1747 TXSample tmp_dc; \
1748 av_unused TXSample tmp_mid; \
1749 TXSample tmp[4]; \
1750 TXComplex sf, sl; \
1751 \
1752 s->fn[0](&s->sub[0], _dst, _src, sizeof(TXComplex)); \
1753 \
1754 tmp_dc = data[0].re; \
1755 data[ 0].re = tmp_dc + data[0].im; \
1756 tmp_dc = tmp_dc - data[0].im; \
1757 \
1758 data[ 0].re = MULT(fact[0], data[ 0].re); \
1759 tmp_dc = MULT(fact[1], tmp_dc); \
1760 data[len4].re = MULT(fact[2], data[len4].re); \
1761 \
1762 if (!mod2) { \
1763 data[len4].im = MULT(fact[3], data[len4].im); \
1764 } else { \
1765 sf = data[len4]; \
1766 sl = data[len4 + 1]; \
1767 if (mode == AV_TX_REAL_TO_REAL) \
1768 tmp[0] = MULT(fact[4], (sf.re + sl.re)); \
1769 else \
1770 tmp[0] = MULT(fact[5], (sf.im - sl.im)); \
1771 tmp[1] = MULT(fact[6], (sf.im + sl.im)); \
1772 tmp[2] = MULT(fact[7], (sf.re - sl.re)); \
1773 \
1774 if (mode == AV_TX_REAL_TO_REAL) { \
1775 tmp[3] = tmp[1]*tcos[len4] - tmp[2]*tsin[len4]; \
1776 tmp_mid = (tmp[0] - tmp[3]); \
1777 } else { \
1778 tmp[3] = tmp[1]*tsin[len4] + tmp[2]*tcos[len4]; \
1779 tmp_mid = (tmp[0] + tmp[3]); \
1780 } \
1781 } \
1782 \
1783 /* NOTE: unrolling this breaks non-mod8 lengths */ \
1784 for (int i = 1; i <= len4; i++) { \
1785 TXSample tmp[4]; \
1786 TXComplex sf = data[i]; \
1787 TXComplex sl = data[len2 - i]; \
1788 \
1789 if (mode == AV_TX_REAL_TO_REAL) \
1790 tmp[0] = MULT(fact[4], (sf.re + sl.re)); \
1791 else \
1792 tmp[0] = MULT(fact[5], (sf.im - sl.im)); \
1793 \
1794 tmp[1] = MULT(fact[6], (sf.im + sl.im)); \
1795 tmp[2] = MULT(fact[7], (sf.re - sl.re)); \
1796 \
1797 if (mode == AV_TX_REAL_TO_REAL) { \
1798 tmp[3] = tmp[1]*tcos[i] - tmp[2]*tsin[i]; \
1799 out[i] = (tmp[0] + tmp[3]); \
1800 out[len - i] = (tmp[0] - tmp[3]); \
1801 } else { \
1802 tmp[3] = tmp[1]*tsin[i] + tmp[2]*tcos[i]; \
1803 out[i - 1] = (tmp[3] - tmp[0]); \
1804 out[len - i - 1] = (tmp[0] + tmp[3]); \
1805 } \
1806 } \
1807 \
1808 for (int i = 1; i < (len4 + (mode == AV_TX_REAL_TO_IMAGINARY)); i++) \
1809 out[len2 - i] = out[len - i]; \
1810 \
1811 if (mode == AV_TX_REAL_TO_REAL) { \
1812 out[len2] = tmp_dc; \
1813 if (mod2) \
1814 out[len4 + 1] = tmp_mid * fact[5]; \
1815 } else if (mod2) { \
1816 out[len4] = tmp_mid; \
1817 } \
1818 } \
1819 \
1820 static const FFTXCodelet TX_NAME(ff_tx_rdft_ ##n## _def) = { \
1821 .name = TX_NAME_STR("rdft_" #n), \
1822 .function = TX_NAME(ff_tx_rdft_ ##n), \
1823 .type = TX_TYPE(RDFT), \
1824 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE | mode | \
1825 FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY, \
1826 .factors = { 2 + 2*(!mod2), TX_FACTOR_ANY }, \
1827 .nb_factors = 2, \
1828 .min_len = 2 + 2*(!mod2), \
1829 .max_len = TX_LEN_UNLIMITED, \
1830 .init = TX_NAME(ff_tx_rdft_init), \
1831 .cpu_flags = FF_TX_CPU_FLAGS_ALL, \
1832 .prio = FF_TX_PRIO_BASE, \
1833 };
1834
1835 ✗ DECL_RDFT_HALF(r2r, AV_TX_REAL_TO_REAL, 0)
1836
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 348068 DECL_RDFT_HALF(r2r_mod2, AV_TX_REAL_TO_REAL, 1)
1837 ✗ DECL_RDFT_HALF(r2i, AV_TX_REAL_TO_IMAGINARY, 0)
1838
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 364910 DECL_RDFT_HALF(r2i_mod2, AV_TX_REAL_TO_IMAGINARY, 1)
1839
1840 4 static av_cold int TX_NAME(ff_tx_dct_init)(AVTXContext *s,
1841 const FFTXCodelet *cd,
1842 uint64_t flags,
1843 FFTXCodeletOptions *opts,
1844 int len, int inv,
1845 const void *scale)
1846 {
1847 int ret;
1848 double freq;
1849 TXSample *tab;
1850 4 SCALE_TYPE rsc = *((SCALE_TYPE *)scale);
1851
1852
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 4 if (inv) {
1853 4 len *= 2;
1854 4 s->len *= 2;
1855 4 rsc *= 0.5;
1856 }
1857
1858
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 4 if ((ret = ff_tx_init_subtx(s, TX_TYPE(RDFT), flags, NULL, len, inv, &rsc)))
1859 ✗ return ret;
1860
1861 4 s->exp = av_malloc((len/2)*3*sizeof(TXSample));
1862
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 4 if (!s->exp)
1863 ✗ return AVERROR(ENOMEM);
1864
1865 4 tab = (TXSample *)s->exp;
1866
1867 4 freq = M_PI/(len*2);
1868
1869
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 6148 for (int i = 0; i < len; i++)
1870
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 6144 tab[i] = RESCALE(cos(i*freq)*(!inv + 1));
1871
1872
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 4 if (inv) {
1873
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 3076 for (int i = 0; i < len/2; i++)
1874 3072 tab[len + i] = RESCALE(0.5 / sin((2*i + 1)*freq));
1875 } else {
1876 ✗ for (int i = 0; i < len/2; i++)
1877 ✗ tab[len + i] = RESCALE(cos((len - 2*i - 1)*freq));
1878 }
1879
1880 4 return 0;
1881 }
1882
1883 ✗ static void TX_NAME(ff_tx_dctII)(AVTXContext *s, void *_dst,
1884 void *_src, ptrdiff_t stride)
1885 {
1886 ✗ TXSample *dst = _dst;
1887 ✗ TXSample *src = _src;
1888 ✗ const int len = s->len;
1889 ✗ const int len2 = len >> 1;
1890 ✗ const TXSample *exp = (void *)s->exp;
1891 TXSample next;
1892 #ifdef TX_INT32
1893 int64_t tmp1, tmp2;
1894 #else
1895 TXSample tmp1, tmp2;
1896 #endif
1897
1898 ✗ for (int i = 0; i < len2; i++) {
1899 ✗ TXSample in1 = src[i];
1900 ✗ TXSample in2 = src[len - i - 1];
1901 ✗ TXSample s = exp[len + i];
1902
1903 #ifdef TX_INT32
1904 ✗ tmp1 = in1 + in2;
1905 ✗ tmp2 = in1 - in2;
1906
1907 ✗ tmp1 >>= 1;
1908 ✗ tmp2 *= s;
1909
1910 ✗ tmp2 = (tmp2 + 0x40000000) >> 31;
1911 #else
1912 ✗ tmp1 = (in1 + in2)*0.5;
1913 ✗ tmp2 = (in1 - in2)*s;
1914 #endif
1915
1916 ✗ src[i] = tmp1 + tmp2;
1917 ✗ src[len - i - 1] = tmp1 - tmp2;
1918 }
1919
1920 ✗ s->fn[0](&s->sub[0], dst, src, sizeof(TXComplex));
1921
1922 ✗ next = dst[len];
1923
1924 ✗ for (int i = len - 2; i > 0; i -= 2) {
1925 TXSample tmp;
1926
1927 ✗ CMUL(tmp, dst[i], exp[len - i], exp[i], dst[i + 0], dst[i + 1]);
1928
1929 ✗ dst[i + 1] = next;
1930
1931 ✗ next += tmp;
1932 }
1933
1934 #ifdef TX_INT32
1935 ✗ tmp1 = ((int64_t)exp[0]) * ((int64_t)dst[0]);
1936 ✗ dst[0] = (tmp1 + 0x40000000) >> 31;
1937 #else
1938 ✗ dst[0] = exp[0] * dst[0];
1939 #endif
1940 ✗ dst[1] = next;
1941 ✗ }
1942
1943 238 static void TX_NAME(ff_tx_dctIII)(AVTXContext *s, void *_dst,
1944 void *_src, ptrdiff_t stride)
1945 {
1946 238 TXSample *dst = _dst;
1947 238 TXSample *src = _src;
1948 238 const int len = s->len;
1949 238 const int len2 = len >> 1;
1950 238 const TXSample *exp = (void *)s->exp;
1951 #ifdef TX_INT32
1952 ✗ int64_t tmp1, tmp2 = src[len - 1];
1953 ✗ tmp2 = (2*tmp2 + 0x40000000) >> 31;
1954 #else
1955 238 TXSample tmp1, tmp2 = 2*src[len - 1];
1956 #endif
1957
1958 238 src[len] = tmp2;
1959
1960
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 121856 for (int i = len - 2; i >= 2; i -= 2) {
1961 121618 TXSample val1 = src[i - 0];
1962 121618 TXSample val2 = src[i - 1] - src[i + 1];
1963
1964 121618 CMUL(src[i + 1], src[i], exp[len - i], exp[i], val1, val2);
1965 }
1966
1967 238 s->fn[0](&s->sub[0], dst, src, sizeof(float));
1968
1969
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 122094 for (int i = 0; i < len2; i++) {
1970 121856 TXSample in1 = dst[i];
1971 121856 TXSample in2 = dst[len - i - 1];
1972 121856 TXSample c = exp[len + i];
1973
1974 121856 tmp1 = in1 + in2;
1975 121856 tmp2 = in1 - in2;
1976 121856 tmp2 *= c;
1977 #ifdef TX_INT32
1978 ✗ tmp2 = (tmp2 + 0x40000000) >> 31;
1979 #endif
1980
1981 121856 dst[i] = tmp1 + tmp2;
1982 121856 dst[len - i - 1] = tmp1 - tmp2;
1983 }
1984 238 }
1985
1986 static const FFTXCodelet TX_NAME(ff_tx_dctII_def) = {
1987 .name = TX_NAME_STR("dctII"),
1988 .function = TX_NAME(ff_tx_dctII),
1989 .type = TX_TYPE(DCT),
1990 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE |
1991 FF_TX_OUT_OF_PLACE | FF_TX_FORWARD_ONLY,
1992 .factors = { 2, TX_FACTOR_ANY },
1993 .min_len = 2,
1994 .max_len = TX_LEN_UNLIMITED,
1995 .init = TX_NAME(ff_tx_dct_init),
1996 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
1997 .prio = FF_TX_PRIO_BASE,
1998 };
1999
2000 static const FFTXCodelet TX_NAME(ff_tx_dctIII_def) = {
2001 .name = TX_NAME_STR("dctIII"),
2002 .function = TX_NAME(ff_tx_dctIII),
2003 .type = TX_TYPE(DCT),
2004 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE |
2005 FF_TX_OUT_OF_PLACE | FF_TX_INVERSE_ONLY,
2006 .factors = { 2, TX_FACTOR_ANY },
2007 .min_len = 2,
2008 .max_len = TX_LEN_UNLIMITED,
2009 .init = TX_NAME(ff_tx_dct_init),
2010 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
2011 .prio = FF_TX_PRIO_BASE,
2012 };
2013
2014 16 static av_cold int TX_NAME(ff_tx_dcstI_init)(AVTXContext *s,
2015 const FFTXCodelet *cd,
2016 uint64_t flags,
2017 FFTXCodeletOptions *opts,
2018 int len, int inv,
2019 const void *scale)
2020 {
2021 int ret;
2022 16 SCALE_TYPE rsc = *((SCALE_TYPE *)scale);
2023
2024
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 16 if (inv) {
2025 ✗ len *= 2;
2026 ✗ s->len *= 2;
2027 ✗ rsc *= 0.5;
2028 }
2029
2030 /* We want a half-complex RDFT */
2031
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 16 flags |= cd->type == TX_TYPE(DCT_I) ? AV_TX_REAL_TO_REAL :
2032 AV_TX_REAL_TO_IMAGINARY;
2033
2034
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 16 if ((ret = ff_tx_init_subtx(s, TX_TYPE(RDFT), flags, NULL,
2035
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 16 (len - 1 + 2*(cd->type == TX_TYPE(DST_I)))*2,
2036 0, &rsc)))
2037 ✗ return ret;
2038
2039 16 s->tmp = av_mallocz((len + 1)*2*sizeof(TXSample));
2040
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 16 if (!s->tmp)
2041 ✗ return AVERROR(ENOMEM);
2042
2043 16 return 0;
2044 }
2045
2046 5614 static void TX_NAME(ff_tx_dctI)(AVTXContext *s, void *_dst,
2047 void *_src, ptrdiff_t stride)
2048 {
2049 5614 TXSample *dst = _dst;
2050 5614 TXSample *src = _src;
2051 5614 const int len = s->len - 1;
2052 5614 TXSample *tmp = (TXSample *)s->tmp;
2053
2054 5614 stride /= sizeof(TXSample);
2055
2056
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 359296 for (int i = 0; i < len; i++)
2057 353682 tmp[i] = tmp[2*len - i] = src[i * stride];
2058
2059 5614 tmp[len] = src[len * stride]; /* Middle */
2060
2061 5614 s->fn[0](&s->sub[0], dst, tmp, sizeof(TXSample));
2062 5614 }
2063
2064 5614 static void TX_NAME(ff_tx_dstI)(AVTXContext *s, void *_dst,
2065 void *_src, ptrdiff_t stride)
2066 {
2067 5614 TXSample *dst = _dst;
2068 5614 TXSample *src = _src;
2069 5614 const int len = s->len + 1;
2070 5614 TXSample *tmp = (void *)s->tmp;
2071
2072 5614 stride /= sizeof(TXSample);
2073
2074 5614 tmp[0] = 0;
2075
2076
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 364910 for (int i = 1; i < len; i++) {
2077 359296 TXSample a = src[(i - 1) * stride];
2078 359296 tmp[i] = -a;
2079 359296 tmp[2*len - i] = a;
2080 }
2081
2082 5614 tmp[len] = 0; /* i == n, Nyquist */
2083
2084 5614 s->fn[0](&s->sub[0], dst, tmp, sizeof(float));
2085 5614 }
2086
2087 static const FFTXCodelet TX_NAME(ff_tx_dctI_def) = {
2088 .name = TX_NAME_STR("dctI"),
2089 .function = TX_NAME(ff_tx_dctI),
2090 .type = TX_TYPE(DCT_I),
2091 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE,
2092 .factors = { 2, TX_FACTOR_ANY },
2093 .nb_factors = 2,
2094 .min_len = 2,
2095 .max_len = TX_LEN_UNLIMITED,
2096 .init = TX_NAME(ff_tx_dcstI_init),
2097 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
2098 .prio = FF_TX_PRIO_BASE,
2099 };
2100
2101 static const FFTXCodelet TX_NAME(ff_tx_dstI_def) = {
2102 .name = TX_NAME_STR("dstI"),
2103 .function = TX_NAME(ff_tx_dstI),
2104 .type = TX_TYPE(DST_I),
2105 .flags = AV_TX_UNALIGNED | AV_TX_INPLACE | FF_TX_OUT_OF_PLACE,
2106 .factors = { 2, TX_FACTOR_ANY },
2107 .nb_factors = 2,
2108 .min_len = 2,
2109 .max_len = TX_LEN_UNLIMITED,
2110 .init = TX_NAME(ff_tx_dcstI_init),
2111 .cpu_flags = FF_TX_CPU_FLAGS_ALL,
2112 .prio = FF_TX_PRIO_BASE,
2113 };
2114
2115 4698 int TX_TAB(ff_tx_mdct_gen_exp)(AVTXContext *s, int *pre_tab)
2116 {
2117 4698 int off = 0;
2118 4698 int len4 = s->len >> 1;
2119 4698 double scale = s->scale_d;
2120
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 4698 const double theta = (scale < 0 ? len4 : 0) + 1.0/8.0;
2121
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 4698 size_t alloc = pre_tab ? 2*len4 : len4;
2122
2123
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 4698 if (!(s->exp = av_malloc_array(alloc, sizeof(*s->exp))))
2124 ✗ return AVERROR(ENOMEM);
2125
2126 4698 scale = sqrt(fabs(scale));
2127
2128
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 4698 if (pre_tab)
2129 4348 off = len4;
2130
2131
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 1179505 for (int i = 0; i < len4; i++) {
2132 1174807 const double alpha = M_PI_2 * (i + theta) / len4;
2133 1174807 s->exp[off + i] = (TXComplex){ RESCALE(cos(alpha) * scale),
2134 1174807 RESCALE(sin(alpha) * scale) };
2135 }
2136
2137
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 4698 if (pre_tab)
2138
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 1015467 for (int i = 0; i < len4; i++)
2139 1011119 s->exp[i] = s->exp[len4 + pre_tab[i]];
2140
2141 4698 return 0;
2142 }
2143
2144 const FFTXCodelet * const TX_NAME(ff_tx_codelet_list)[] = {
2145 /* Split-Radix codelets */
2146 &TX_NAME(ff_tx_fft2_ns_def),
2147 &TX_NAME(ff_tx_fft4_ns_def),
2148 &TX_NAME(ff_tx_fft8_ns_def),
2149 &TX_NAME(ff_tx_fft16_ns_def),
2150 &TX_NAME(ff_tx_fft32_ns_def),
2151 &TX_NAME(ff_tx_fft64_ns_def),
2152 &TX_NAME(ff_tx_fft128_ns_def),
2153 &TX_NAME(ff_tx_fft256_ns_def),
2154 &TX_NAME(ff_tx_fft512_ns_def),
2155 &TX_NAME(ff_tx_fft1024_ns_def),
2156 &TX_NAME(ff_tx_fft2048_ns_def),
2157 &TX_NAME(ff_tx_fft4096_ns_def),
2158 &TX_NAME(ff_tx_fft8192_ns_def),
2159 &TX_NAME(ff_tx_fft16384_ns_def),
2160 &TX_NAME(ff_tx_fft32768_ns_def),
2161 &TX_NAME(ff_tx_fft65536_ns_def),
2162 &TX_NAME(ff_tx_fft131072_ns_def),
2163 &TX_NAME(ff_tx_fft262144_ns_def),
2164 &TX_NAME(ff_tx_fft524288_ns_def),
2165 &TX_NAME(ff_tx_fft1048576_ns_def),
2166 &TX_NAME(ff_tx_fft2097152_ns_def),
2167
2168 /* Prime factor codelets */
2169 &TX_NAME(ff_tx_fft3_ns_def),
2170 &TX_NAME(ff_tx_fft5_ns_def),
2171 &TX_NAME(ff_tx_fft7_ns_def),
2172 &TX_NAME(ff_tx_fft9_ns_def),
2173 &TX_NAME(ff_tx_fft15_ns_def),
2174
2175 /* We get these for free */
2176 &TX_NAME(ff_tx_fft3_fwd_def),
2177 &TX_NAME(ff_tx_fft5_fwd_def),
2178 &TX_NAME(ff_tx_fft7_fwd_def),
2179 &TX_NAME(ff_tx_fft9_fwd_def),
2180
2181 /* Standalone transforms */
2182 &TX_NAME(ff_tx_fft_def),
2183 &TX_NAME(ff_tx_fft_inplace_def),
2184 &TX_NAME(ff_tx_fft_inplace_small_def),
2185 &TX_NAME(ff_tx_fft_pfa_def),
2186 &TX_NAME(ff_tx_fft_pfa_ns_def),
2187 &TX_NAME(ff_tx_fft_naive_def),
2188 &TX_NAME(ff_tx_fft_naive_small_def),
2189 &TX_NAME(ff_tx_mdct_fwd_def),
2190 &TX_NAME(ff_tx_mdct_inv_def),
2191 &TX_NAME(ff_tx_mdct_pfa_3xM_fwd_def),
2192 &TX_NAME(ff_tx_mdct_pfa_5xM_fwd_def),
2193 &TX_NAME(ff_tx_mdct_pfa_7xM_fwd_def),
2194 &TX_NAME(ff_tx_mdct_pfa_9xM_fwd_def),
2195 &TX_NAME(ff_tx_mdct_pfa_15xM_fwd_def),
2196 &TX_NAME(ff_tx_mdct_pfa_3xM_inv_def),
2197 &TX_NAME(ff_tx_mdct_pfa_5xM_inv_def),
2198 &TX_NAME(ff_tx_mdct_pfa_7xM_inv_def),
2199 &TX_NAME(ff_tx_mdct_pfa_9xM_inv_def),
2200 &TX_NAME(ff_tx_mdct_pfa_15xM_inv_def),
2201 &TX_NAME(ff_tx_mdct_naive_fwd_def),
2202 &TX_NAME(ff_tx_mdct_naive_inv_def),
2203 &TX_NAME(ff_tx_mdct_inv_full_def),
2204 &TX_NAME(ff_tx_rdft_r2c_def),
2205 &TX_NAME(ff_tx_rdft_r2r_def),
2206 &TX_NAME(ff_tx_rdft_r2r_mod2_def),
2207 &TX_NAME(ff_tx_rdft_r2i_def),
2208 &TX_NAME(ff_tx_rdft_r2i_mod2_def),
2209 &TX_NAME(ff_tx_rdft_c2r_def),
2210 &TX_NAME(ff_tx_dctII_def),
2211 &TX_NAME(ff_tx_dctIII_def),
2212 &TX_NAME(ff_tx_dctI_def),
2213 &TX_NAME(ff_tx_dstI_def),
2214
2215 NULL,
2216 };
2217