dct.c 77.4 KB
Newer Older
Jingning Han's avatar
Jingning Han committed
1
/*
Yaowu Xu's avatar
Yaowu Xu committed
2
 * Copyright (c) 2016, Alliance for Open Media. All rights reserved
Jingning Han's avatar
Jingning Han committed
3
 *
Yaowu Xu's avatar
Yaowu Xu committed
4
5
6
7
8
9
 * This source code is subject to the terms of the BSD 2 Clause License and
 * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
 * was not distributed with this source code in the LICENSE file, you can
 * obtain it at www.aomedia.org/license/software. If the Alliance for Open
 * Media Patent License 1.0 was not distributed with this source code in the
 * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
Jingning Han's avatar
Jingning Han committed
10
11
12
13
14
 */

#include <assert.h>
#include <math.h>

Yaowu Xu's avatar
Yaowu Xu committed
15
16
#include "./aom_config.h"
#include "./aom_dsp_rtcd.h"
Geza Lore's avatar
Geza Lore committed
17
#include "./av1_rtcd.h"
18
19
#include "aom_dsp/fwd_txfm.h"
#include "aom_ports/mem.h"
Geza Lore's avatar
Geza Lore committed
20
#include "av1/common/blockd.h"
21
#include "av1/common/av1_fwd_txfm1d.h"
22
#include "av1/common/av1_fwd_txfm1d_cfg.h"
Geza Lore's avatar
Geza Lore committed
23
#include "av1/common/idct.h"
Jingning Han's avatar
Jingning Han committed
24

25
26
static INLINE void range_check(const tran_low_t *input, const int size,
                               const int bit) {
27
28
29
30
#if 0  // CONFIG_COEFFICIENT_RANGE_CHECKING
// TODO(angiebird): the range_check is not used because the bit range
// in fdct# is not correct. Since we are going to merge in a new version
// of fdct# from nextgenv2, we won't fix the incorrect bit range now.
31
32
33
34
35
36
37
38
39
40
41
  int i;
  for (i = 0; i < size; ++i) {
    assert(abs(input[i]) < (1 << bit));
  }
#else
  (void)input;
  (void)size;
  (void)bit;
#endif
}

Jingning Han's avatar
Jingning Han committed
42
static void fdct4(const tran_low_t *input, tran_low_t *output) {
43
44
45
46
  tran_high_t temp;
  tran_low_t step[4];

  // stage 0
47
  range_check(input, 4, 14);
48
49
50
51
52
53
54

  // stage 1
  output[0] = input[0] + input[3];
  output[1] = input[1] + input[2];
  output[2] = input[1] - input[2];
  output[3] = input[0] - input[3];

55
  range_check(output, 4, 15);
56
57
58
59
60
61
62
63
64
65
66

  // stage 2
  temp = output[0] * cospi_16_64 + output[1] * cospi_16_64;
  step[0] = (tran_low_t)fdct_round_shift(temp);
  temp = output[1] * -cospi_16_64 + output[0] * cospi_16_64;
  step[1] = (tran_low_t)fdct_round_shift(temp);
  temp = output[2] * cospi_24_64 + output[3] * cospi_8_64;
  step[2] = (tran_low_t)fdct_round_shift(temp);
  temp = output[3] * cospi_24_64 + output[2] * -cospi_8_64;
  step[3] = (tran_low_t)fdct_round_shift(temp);

67
  range_check(step, 4, 16);
68
69
70
71
72
73
74

  // stage 3
  output[0] = step[0];
  output[1] = step[2];
  output[2] = step[1];
  output[3] = step[3];

75
  range_check(output, 4, 16);
Jingning Han's avatar
Jingning Han committed
76
77
78
}

static void fdct8(const tran_low_t *input, tran_low_t *output) {
79
80
81
82
  tran_high_t temp;
  tran_low_t step[8];

  // stage 0
83
  range_check(input, 8, 13);
Jingning Han's avatar
Jingning Han committed
84
85

  // stage 1
86
87
88
89
90
91
92
93
94
  output[0] = input[0] + input[7];
  output[1] = input[1] + input[6];
  output[2] = input[2] + input[5];
  output[3] = input[3] + input[4];
  output[4] = input[3] - input[4];
  output[5] = input[2] - input[5];
  output[6] = input[1] - input[6];
  output[7] = input[0] - input[7];

95
  range_check(output, 8, 14);
96
97
98
99
100
101
102
103
104
105
106
107
108

  // stage 2
  step[0] = output[0] + output[3];
  step[1] = output[1] + output[2];
  step[2] = output[1] - output[2];
  step[3] = output[0] - output[3];
  step[4] = output[4];
  temp = output[5] * -cospi_16_64 + output[6] * cospi_16_64;
  step[5] = (tran_low_t)fdct_round_shift(temp);
  temp = output[6] * cospi_16_64 + output[5] * cospi_16_64;
  step[6] = (tran_low_t)fdct_round_shift(temp);
  step[7] = output[7];

109
  range_check(step, 8, 15);
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124

  // stage 3
  temp = step[0] * cospi_16_64 + step[1] * cospi_16_64;
  output[0] = (tran_low_t)fdct_round_shift(temp);
  temp = step[1] * -cospi_16_64 + step[0] * cospi_16_64;
  output[1] = (tran_low_t)fdct_round_shift(temp);
  temp = step[2] * cospi_24_64 + step[3] * cospi_8_64;
  output[2] = (tran_low_t)fdct_round_shift(temp);
  temp = step[3] * cospi_24_64 + step[2] * -cospi_8_64;
  output[3] = (tran_low_t)fdct_round_shift(temp);
  output[4] = step[4] + step[5];
  output[5] = step[4] - step[5];
  output[6] = step[7] - step[6];
  output[7] = step[7] + step[6];

125
  range_check(output, 8, 16);
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140

  // stage 4
  step[0] = output[0];
  step[1] = output[1];
  step[2] = output[2];
  step[3] = output[3];
  temp = output[4] * cospi_28_64 + output[7] * cospi_4_64;
  step[4] = (tran_low_t)fdct_round_shift(temp);
  temp = output[5] * cospi_12_64 + output[6] * cospi_20_64;
  step[5] = (tran_low_t)fdct_round_shift(temp);
  temp = output[6] * cospi_12_64 + output[5] * -cospi_20_64;
  step[6] = (tran_low_t)fdct_round_shift(temp);
  temp = output[7] * cospi_28_64 + output[4] * -cospi_4_64;
  step[7] = (tran_low_t)fdct_round_shift(temp);

141
  range_check(step, 8, 16);
142
143
144
145
146
147
148
149
150
151
152

  // stage 5
  output[0] = step[0];
  output[1] = step[4];
  output[2] = step[2];
  output[3] = step[6];
  output[4] = step[1];
  output[5] = step[5];
  output[6] = step[3];
  output[7] = step[7];

153
  range_check(output, 8, 16);
Jingning Han's avatar
Jingning Han committed
154
155
}

156
157
158
static void fdct16(const tran_low_t *input, tran_low_t *output) {
  tran_high_t temp;
  tran_low_t step[16];
Jingning Han's avatar
Jingning Han committed
159

160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
  // stage 0
  range_check(input, 16, 13);

  // stage 1
  output[0] = input[0] + input[15];
  output[1] = input[1] + input[14];
  output[2] = input[2] + input[13];
  output[3] = input[3] + input[12];
  output[4] = input[4] + input[11];
  output[5] = input[5] + input[10];
  output[6] = input[6] + input[9];
  output[7] = input[7] + input[8];
  output[8] = input[7] - input[8];
  output[9] = input[6] - input[9];
  output[10] = input[5] - input[10];
  output[11] = input[4] - input[11];
  output[12] = input[3] - input[12];
  output[13] = input[2] - input[13];
  output[14] = input[1] - input[14];
  output[15] = input[0] - input[15];

  range_check(output, 16, 14);

  // stage 2
  step[0] = output[0] + output[7];
  step[1] = output[1] + output[6];
  step[2] = output[2] + output[5];
  step[3] = output[3] + output[4];
  step[4] = output[3] - output[4];
  step[5] = output[2] - output[5];
  step[6] = output[1] - output[6];
  step[7] = output[0] - output[7];
  step[8] = output[8];
  step[9] = output[9];
  temp = output[10] * -cospi_16_64 + output[13] * cospi_16_64;
  step[10] = (tran_low_t)fdct_round_shift(temp);
  temp = output[11] * -cospi_16_64 + output[12] * cospi_16_64;
  step[11] = (tran_low_t)fdct_round_shift(temp);
  temp = output[12] * cospi_16_64 + output[11] * cospi_16_64;
  step[12] = (tran_low_t)fdct_round_shift(temp);
  temp = output[13] * cospi_16_64 + output[10] * cospi_16_64;
  step[13] = (tran_low_t)fdct_round_shift(temp);
  step[14] = output[14];
  step[15] = output[15];

  range_check(step, 16, 15);

  // stage 3
  output[0] = step[0] + step[3];
  output[1] = step[1] + step[2];
  output[2] = step[1] - step[2];
  output[3] = step[0] - step[3];
  output[4] = step[4];
  temp = step[5] * -cospi_16_64 + step[6] * cospi_16_64;
  output[5] = (tran_low_t)fdct_round_shift(temp);
  temp = step[6] * cospi_16_64 + step[5] * cospi_16_64;
  output[6] = (tran_low_t)fdct_round_shift(temp);
  output[7] = step[7];
  output[8] = step[8] + step[11];
  output[9] = step[9] + step[10];
  output[10] = step[9] - step[10];
  output[11] = step[8] - step[11];
  output[12] = step[15] - step[12];
  output[13] = step[14] - step[13];
  output[14] = step[14] + step[13];
  output[15] = step[15] + step[12];

  range_check(output, 16, 16);

  // stage 4
  temp = output[0] * cospi_16_64 + output[1] * cospi_16_64;
  step[0] = (tran_low_t)fdct_round_shift(temp);
  temp = output[1] * -cospi_16_64 + output[0] * cospi_16_64;
  step[1] = (tran_low_t)fdct_round_shift(temp);
  temp = output[2] * cospi_24_64 + output[3] * cospi_8_64;
  step[2] = (tran_low_t)fdct_round_shift(temp);
  temp = output[3] * cospi_24_64 + output[2] * -cospi_8_64;
  step[3] = (tran_low_t)fdct_round_shift(temp);
  step[4] = output[4] + output[5];
  step[5] = output[4] - output[5];
  step[6] = output[7] - output[6];
  step[7] = output[7] + output[6];
  step[8] = output[8];
  temp = output[9] * -cospi_8_64 + output[14] * cospi_24_64;
  step[9] = (tran_low_t)fdct_round_shift(temp);
  temp = output[10] * -cospi_24_64 + output[13] * -cospi_8_64;
  step[10] = (tran_low_t)fdct_round_shift(temp);
  step[11] = output[11];
  step[12] = output[12];
  temp = output[13] * cospi_24_64 + output[10] * -cospi_8_64;
  step[13] = (tran_low_t)fdct_round_shift(temp);
  temp = output[14] * cospi_8_64 + output[9] * cospi_24_64;
  step[14] = (tran_low_t)fdct_round_shift(temp);
  step[15] = output[15];

  range_check(step, 16, 16);

  // stage 5
  output[0] = step[0];
  output[1] = step[1];
  output[2] = step[2];
  output[3] = step[3];
  temp = step[4] * cospi_28_64 + step[7] * cospi_4_64;
  output[4] = (tran_low_t)fdct_round_shift(temp);
  temp = step[5] * cospi_12_64 + step[6] * cospi_20_64;
  output[5] = (tran_low_t)fdct_round_shift(temp);
  temp = step[6] * cospi_12_64 + step[5] * -cospi_20_64;
  output[6] = (tran_low_t)fdct_round_shift(temp);
  temp = step[7] * cospi_28_64 + step[4] * -cospi_4_64;
  output[7] = (tran_low_t)fdct_round_shift(temp);
  output[8] = step[8] + step[9];
  output[9] = step[8] - step[9];
  output[10] = step[11] - step[10];
  output[11] = step[11] + step[10];
  output[12] = step[12] + step[13];
  output[13] = step[12] - step[13];
  output[14] = step[15] - step[14];
  output[15] = step[15] + step[14];

  range_check(output, 16, 16);

  // stage 6
  step[0] = output[0];
  step[1] = output[1];
  step[2] = output[2];
  step[3] = output[3];
  step[4] = output[4];
  step[5] = output[5];
  step[6] = output[6];
  step[7] = output[7];
  temp = output[8] * cospi_30_64 + output[15] * cospi_2_64;
  step[8] = (tran_low_t)fdct_round_shift(temp);
  temp = output[9] * cospi_14_64 + output[14] * cospi_18_64;
  step[9] = (tran_low_t)fdct_round_shift(temp);
  temp = output[10] * cospi_22_64 + output[13] * cospi_10_64;
  step[10] = (tran_low_t)fdct_round_shift(temp);
  temp = output[11] * cospi_6_64 + output[12] * cospi_26_64;
  step[11] = (tran_low_t)fdct_round_shift(temp);
  temp = output[12] * cospi_6_64 + output[11] * -cospi_26_64;
  step[12] = (tran_low_t)fdct_round_shift(temp);
  temp = output[13] * cospi_22_64 + output[10] * -cospi_10_64;
  step[13] = (tran_low_t)fdct_round_shift(temp);
  temp = output[14] * cospi_14_64 + output[9] * -cospi_18_64;
  step[14] = (tran_low_t)fdct_round_shift(temp);
  temp = output[15] * cospi_30_64 + output[8] * -cospi_2_64;
  step[15] = (tran_low_t)fdct_round_shift(temp);

  range_check(step, 16, 16);

  // stage 7
  output[0] = step[0];
  output[1] = step[8];
  output[2] = step[4];
  output[3] = step[12];
  output[4] = step[2];
  output[5] = step[10];
  output[6] = step[6];
  output[7] = step[14];
  output[8] = step[1];
  output[9] = step[9];
  output[10] = step[5];
  output[11] = step[13];
  output[12] = step[3];
  output[13] = step[11];
  output[14] = step[7];
  output[15] = step[15];

  range_check(output, 16, 16);
}

static void fdct32(const tran_low_t *input, tran_low_t *output) {
  tran_high_t temp;
332
  tran_low_t step[32];
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371

  // stage 0
  range_check(input, 32, 14);

  // stage 1
  output[0] = input[0] + input[31];
  output[1] = input[1] + input[30];
  output[2] = input[2] + input[29];
  output[3] = input[3] + input[28];
  output[4] = input[4] + input[27];
  output[5] = input[5] + input[26];
  output[6] = input[6] + input[25];
  output[7] = input[7] + input[24];
  output[8] = input[8] + input[23];
  output[9] = input[9] + input[22];
  output[10] = input[10] + input[21];
  output[11] = input[11] + input[20];
  output[12] = input[12] + input[19];
  output[13] = input[13] + input[18];
  output[14] = input[14] + input[17];
  output[15] = input[15] + input[16];
  output[16] = input[15] - input[16];
  output[17] = input[14] - input[17];
  output[18] = input[13] - input[18];
  output[19] = input[12] - input[19];
  output[20] = input[11] - input[20];
  output[21] = input[10] - input[21];
  output[22] = input[9] - input[22];
  output[23] = input[8] - input[23];
  output[24] = input[7] - input[24];
  output[25] = input[6] - input[25];
  output[26] = input[5] - input[26];
  output[27] = input[4] - input[27];
  output[28] = input[3] - input[28];
  output[29] = input[2] - input[29];
  output[30] = input[1] - input[30];
  output[31] = input[0] - input[31];

  range_check(output, 32, 15);
Jingning Han's avatar
Jingning Han committed
372

373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
  // stage 2
  step[0] = output[0] + output[15];
  step[1] = output[1] + output[14];
  step[2] = output[2] + output[13];
  step[3] = output[3] + output[12];
  step[4] = output[4] + output[11];
  step[5] = output[5] + output[10];
  step[6] = output[6] + output[9];
  step[7] = output[7] + output[8];
  step[8] = output[7] - output[8];
  step[9] = output[6] - output[9];
  step[10] = output[5] - output[10];
  step[11] = output[4] - output[11];
  step[12] = output[3] - output[12];
  step[13] = output[2] - output[13];
  step[14] = output[1] - output[14];
  step[15] = output[0] - output[15];
  step[16] = output[16];
  step[17] = output[17];
  step[18] = output[18];
  step[19] = output[19];
  temp = output[20] * -cospi_16_64 + output[27] * cospi_16_64;
  step[20] = (tran_low_t)fdct_round_shift(temp);
  temp = output[21] * -cospi_16_64 + output[26] * cospi_16_64;
  step[21] = (tran_low_t)fdct_round_shift(temp);
  temp = output[22] * -cospi_16_64 + output[25] * cospi_16_64;
  step[22] = (tran_low_t)fdct_round_shift(temp);
  temp = output[23] * -cospi_16_64 + output[24] * cospi_16_64;
  step[23] = (tran_low_t)fdct_round_shift(temp);
  temp = output[24] * cospi_16_64 + output[23] * cospi_16_64;
  step[24] = (tran_low_t)fdct_round_shift(temp);
  temp = output[25] * cospi_16_64 + output[22] * cospi_16_64;
  step[25] = (tran_low_t)fdct_round_shift(temp);
  temp = output[26] * cospi_16_64 + output[21] * cospi_16_64;
  step[26] = (tran_low_t)fdct_round_shift(temp);
  temp = output[27] * cospi_16_64 + output[20] * cospi_16_64;
  step[27] = (tran_low_t)fdct_round_shift(temp);
  step[28] = output[28];
  step[29] = output[29];
  step[30] = output[30];
  step[31] = output[31];

415
  range_check(step, 32, 16);
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500

  // stage 3
  output[0] = step[0] + step[7];
  output[1] = step[1] + step[6];
  output[2] = step[2] + step[5];
  output[3] = step[3] + step[4];
  output[4] = step[3] - step[4];
  output[5] = step[2] - step[5];
  output[6] = step[1] - step[6];
  output[7] = step[0] - step[7];
  output[8] = step[8];
  output[9] = step[9];
  temp = step[10] * -cospi_16_64 + step[13] * cospi_16_64;
  output[10] = (tran_low_t)fdct_round_shift(temp);
  temp = step[11] * -cospi_16_64 + step[12] * cospi_16_64;
  output[11] = (tran_low_t)fdct_round_shift(temp);
  temp = step[12] * cospi_16_64 + step[11] * cospi_16_64;
  output[12] = (tran_low_t)fdct_round_shift(temp);
  temp = step[13] * cospi_16_64 + step[10] * cospi_16_64;
  output[13] = (tran_low_t)fdct_round_shift(temp);
  output[14] = step[14];
  output[15] = step[15];
  output[16] = step[16] + step[23];
  output[17] = step[17] + step[22];
  output[18] = step[18] + step[21];
  output[19] = step[19] + step[20];
  output[20] = step[19] - step[20];
  output[21] = step[18] - step[21];
  output[22] = step[17] - step[22];
  output[23] = step[16] - step[23];
  output[24] = step[31] - step[24];
  output[25] = step[30] - step[25];
  output[26] = step[29] - step[26];
  output[27] = step[28] - step[27];
  output[28] = step[28] + step[27];
  output[29] = step[29] + step[26];
  output[30] = step[30] + step[25];
  output[31] = step[31] + step[24];

  range_check(output, 32, 17);

  // stage 4
  step[0] = output[0] + output[3];
  step[1] = output[1] + output[2];
  step[2] = output[1] - output[2];
  step[3] = output[0] - output[3];
  step[4] = output[4];
  temp = output[5] * -cospi_16_64 + output[6] * cospi_16_64;
  step[5] = (tran_low_t)fdct_round_shift(temp);
  temp = output[6] * cospi_16_64 + output[5] * cospi_16_64;
  step[6] = (tran_low_t)fdct_round_shift(temp);
  step[7] = output[7];
  step[8] = output[8] + output[11];
  step[9] = output[9] + output[10];
  step[10] = output[9] - output[10];
  step[11] = output[8] - output[11];
  step[12] = output[15] - output[12];
  step[13] = output[14] - output[13];
  step[14] = output[14] + output[13];
  step[15] = output[15] + output[12];
  step[16] = output[16];
  step[17] = output[17];
  temp = output[18] * -cospi_8_64 + output[29] * cospi_24_64;
  step[18] = (tran_low_t)fdct_round_shift(temp);
  temp = output[19] * -cospi_8_64 + output[28] * cospi_24_64;
  step[19] = (tran_low_t)fdct_round_shift(temp);
  temp = output[20] * -cospi_24_64 + output[27] * -cospi_8_64;
  step[20] = (tran_low_t)fdct_round_shift(temp);
  temp = output[21] * -cospi_24_64 + output[26] * -cospi_8_64;
  step[21] = (tran_low_t)fdct_round_shift(temp);
  step[22] = output[22];
  step[23] = output[23];
  step[24] = output[24];
  step[25] = output[25];
  temp = output[26] * cospi_24_64 + output[21] * -cospi_8_64;
  step[26] = (tran_low_t)fdct_round_shift(temp);
  temp = output[27] * cospi_24_64 + output[20] * -cospi_8_64;
  step[27] = (tran_low_t)fdct_round_shift(temp);
  temp = output[28] * cospi_8_64 + output[19] * cospi_24_64;
  step[28] = (tran_low_t)fdct_round_shift(temp);
  temp = output[29] * cospi_8_64 + output[18] * cospi_24_64;
  step[29] = (tran_low_t)fdct_round_shift(temp);
  step[30] = output[30];
  step[31] = output[31];

501
  range_check(step, 32, 18);
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592

  // stage 5
  temp = step[0] * cospi_16_64 + step[1] * cospi_16_64;
  output[0] = (tran_low_t)fdct_round_shift(temp);
  temp = step[1] * -cospi_16_64 + step[0] * cospi_16_64;
  output[1] = (tran_low_t)fdct_round_shift(temp);
  temp = step[2] * cospi_24_64 + step[3] * cospi_8_64;
  output[2] = (tran_low_t)fdct_round_shift(temp);
  temp = step[3] * cospi_24_64 + step[2] * -cospi_8_64;
  output[3] = (tran_low_t)fdct_round_shift(temp);
  output[4] = step[4] + step[5];
  output[5] = step[4] - step[5];
  output[6] = step[7] - step[6];
  output[7] = step[7] + step[6];
  output[8] = step[8];
  temp = step[9] * -cospi_8_64 + step[14] * cospi_24_64;
  output[9] = (tran_low_t)fdct_round_shift(temp);
  temp = step[10] * -cospi_24_64 + step[13] * -cospi_8_64;
  output[10] = (tran_low_t)fdct_round_shift(temp);
  output[11] = step[11];
  output[12] = step[12];
  temp = step[13] * cospi_24_64 + step[10] * -cospi_8_64;
  output[13] = (tran_low_t)fdct_round_shift(temp);
  temp = step[14] * cospi_8_64 + step[9] * cospi_24_64;
  output[14] = (tran_low_t)fdct_round_shift(temp);
  output[15] = step[15];
  output[16] = step[16] + step[19];
  output[17] = step[17] + step[18];
  output[18] = step[17] - step[18];
  output[19] = step[16] - step[19];
  output[20] = step[23] - step[20];
  output[21] = step[22] - step[21];
  output[22] = step[22] + step[21];
  output[23] = step[23] + step[20];
  output[24] = step[24] + step[27];
  output[25] = step[25] + step[26];
  output[26] = step[25] - step[26];
  output[27] = step[24] - step[27];
  output[28] = step[31] - step[28];
  output[29] = step[30] - step[29];
  output[30] = step[30] + step[29];
  output[31] = step[31] + step[28];

  range_check(output, 32, 18);

  // stage 6
  step[0] = output[0];
  step[1] = output[1];
  step[2] = output[2];
  step[3] = output[3];
  temp = output[4] * cospi_28_64 + output[7] * cospi_4_64;
  step[4] = (tran_low_t)fdct_round_shift(temp);
  temp = output[5] * cospi_12_64 + output[6] * cospi_20_64;
  step[5] = (tran_low_t)fdct_round_shift(temp);
  temp = output[6] * cospi_12_64 + output[5] * -cospi_20_64;
  step[6] = (tran_low_t)fdct_round_shift(temp);
  temp = output[7] * cospi_28_64 + output[4] * -cospi_4_64;
  step[7] = (tran_low_t)fdct_round_shift(temp);
  step[8] = output[8] + output[9];
  step[9] = output[8] - output[9];
  step[10] = output[11] - output[10];
  step[11] = output[11] + output[10];
  step[12] = output[12] + output[13];
  step[13] = output[12] - output[13];
  step[14] = output[15] - output[14];
  step[15] = output[15] + output[14];
  step[16] = output[16];
  temp = output[17] * -cospi_4_64 + output[30] * cospi_28_64;
  step[17] = (tran_low_t)fdct_round_shift(temp);
  temp = output[18] * -cospi_28_64 + output[29] * -cospi_4_64;
  step[18] = (tran_low_t)fdct_round_shift(temp);
  step[19] = output[19];
  step[20] = output[20];
  temp = output[21] * -cospi_20_64 + output[26] * cospi_12_64;
  step[21] = (tran_low_t)fdct_round_shift(temp);
  temp = output[22] * -cospi_12_64 + output[25] * -cospi_20_64;
  step[22] = (tran_low_t)fdct_round_shift(temp);
  step[23] = output[23];
  step[24] = output[24];
  temp = output[25] * cospi_12_64 + output[22] * -cospi_20_64;
  step[25] = (tran_low_t)fdct_round_shift(temp);
  temp = output[26] * cospi_20_64 + output[21] * cospi_12_64;
  step[26] = (tran_low_t)fdct_round_shift(temp);
  step[27] = output[27];
  step[28] = output[28];
  temp = output[29] * cospi_28_64 + output[18] * -cospi_4_64;
  step[29] = (tran_low_t)fdct_round_shift(temp);
  temp = output[30] * cospi_4_64 + output[17] * cospi_28_64;
  step[30] = (tran_low_t)fdct_round_shift(temp);
  step[31] = output[31];

593
  range_check(step, 32, 18);
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688

  // stage 7
  output[0] = step[0];
  output[1] = step[1];
  output[2] = step[2];
  output[3] = step[3];
  output[4] = step[4];
  output[5] = step[5];
  output[6] = step[6];
  output[7] = step[7];
  temp = step[8] * cospi_30_64 + step[15] * cospi_2_64;
  output[8] = (tran_low_t)fdct_round_shift(temp);
  temp = step[9] * cospi_14_64 + step[14] * cospi_18_64;
  output[9] = (tran_low_t)fdct_round_shift(temp);
  temp = step[10] * cospi_22_64 + step[13] * cospi_10_64;
  output[10] = (tran_low_t)fdct_round_shift(temp);
  temp = step[11] * cospi_6_64 + step[12] * cospi_26_64;
  output[11] = (tran_low_t)fdct_round_shift(temp);
  temp = step[12] * cospi_6_64 + step[11] * -cospi_26_64;
  output[12] = (tran_low_t)fdct_round_shift(temp);
  temp = step[13] * cospi_22_64 + step[10] * -cospi_10_64;
  output[13] = (tran_low_t)fdct_round_shift(temp);
  temp = step[14] * cospi_14_64 + step[9] * -cospi_18_64;
  output[14] = (tran_low_t)fdct_round_shift(temp);
  temp = step[15] * cospi_30_64 + step[8] * -cospi_2_64;
  output[15] = (tran_low_t)fdct_round_shift(temp);
  output[16] = step[16] + step[17];
  output[17] = step[16] - step[17];
  output[18] = step[19] - step[18];
  output[19] = step[19] + step[18];
  output[20] = step[20] + step[21];
  output[21] = step[20] - step[21];
  output[22] = step[23] - step[22];
  output[23] = step[23] + step[22];
  output[24] = step[24] + step[25];
  output[25] = step[24] - step[25];
  output[26] = step[27] - step[26];
  output[27] = step[27] + step[26];
  output[28] = step[28] + step[29];
  output[29] = step[28] - step[29];
  output[30] = step[31] - step[30];
  output[31] = step[31] + step[30];

  range_check(output, 32, 18);

  // stage 8
  step[0] = output[0];
  step[1] = output[1];
  step[2] = output[2];
  step[3] = output[3];
  step[4] = output[4];
  step[5] = output[5];
  step[6] = output[6];
  step[7] = output[7];
  step[8] = output[8];
  step[9] = output[9];
  step[10] = output[10];
  step[11] = output[11];
  step[12] = output[12];
  step[13] = output[13];
  step[14] = output[14];
  step[15] = output[15];
  temp = output[16] * cospi_31_64 + output[31] * cospi_1_64;
  step[16] = (tran_low_t)fdct_round_shift(temp);
  temp = output[17] * cospi_15_64 + output[30] * cospi_17_64;
  step[17] = (tran_low_t)fdct_round_shift(temp);
  temp = output[18] * cospi_23_64 + output[29] * cospi_9_64;
  step[18] = (tran_low_t)fdct_round_shift(temp);
  temp = output[19] * cospi_7_64 + output[28] * cospi_25_64;
  step[19] = (tran_low_t)fdct_round_shift(temp);
  temp = output[20] * cospi_27_64 + output[27] * cospi_5_64;
  step[20] = (tran_low_t)fdct_round_shift(temp);
  temp = output[21] * cospi_11_64 + output[26] * cospi_21_64;
  step[21] = (tran_low_t)fdct_round_shift(temp);
  temp = output[22] * cospi_19_64 + output[25] * cospi_13_64;
  step[22] = (tran_low_t)fdct_round_shift(temp);
  temp = output[23] * cospi_3_64 + output[24] * cospi_29_64;
  step[23] = (tran_low_t)fdct_round_shift(temp);
  temp = output[24] * cospi_3_64 + output[23] * -cospi_29_64;
  step[24] = (tran_low_t)fdct_round_shift(temp);
  temp = output[25] * cospi_19_64 + output[22] * -cospi_13_64;
  step[25] = (tran_low_t)fdct_round_shift(temp);
  temp = output[26] * cospi_11_64 + output[21] * -cospi_21_64;
  step[26] = (tran_low_t)fdct_round_shift(temp);
  temp = output[27] * cospi_27_64 + output[20] * -cospi_5_64;
  step[27] = (tran_low_t)fdct_round_shift(temp);
  temp = output[28] * cospi_7_64 + output[19] * -cospi_25_64;
  step[28] = (tran_low_t)fdct_round_shift(temp);
  temp = output[29] * cospi_23_64 + output[18] * -cospi_9_64;
  step[29] = (tran_low_t)fdct_round_shift(temp);
  temp = output[30] * cospi_15_64 + output[17] * -cospi_17_64;
  step[30] = (tran_low_t)fdct_round_shift(temp);
  temp = output[31] * cospi_31_64 + output[16] * -cospi_1_64;
  step[31] = (tran_low_t)fdct_round_shift(temp);

689
  range_check(step, 32, 18);
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725

  // stage 9
  output[0] = step[0];
  output[1] = step[16];
  output[2] = step[8];
  output[3] = step[24];
  output[4] = step[4];
  output[5] = step[20];
  output[6] = step[12];
  output[7] = step[28];
  output[8] = step[2];
  output[9] = step[18];
  output[10] = step[10];
  output[11] = step[26];
  output[12] = step[6];
  output[13] = step[22];
  output[14] = step[14];
  output[15] = step[30];
  output[16] = step[1];
  output[17] = step[17];
  output[18] = step[9];
  output[19] = step[25];
  output[20] = step[5];
  output[21] = step[21];
  output[22] = step[13];
  output[23] = step[29];
  output[24] = step[3];
  output[25] = step[19];
  output[26] = step[11];
  output[27] = step[27];
  output[28] = step[7];
  output[29] = step[23];
  output[30] = step[15];
  output[31] = step[31];

  range_check(output, 32, 18);
Jingning Han's avatar
Jingning Han committed
726
727
}

728
729
#ifndef AV1_DCT_GTEST

Jingning Han's avatar
Jingning Han committed
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
static void fadst4(const tran_low_t *input, tran_low_t *output) {
  tran_high_t x0, x1, x2, x3;
  tran_high_t s0, s1, s2, s3, s4, s5, s6, s7;

  x0 = input[0];
  x1 = input[1];
  x2 = input[2];
  x3 = input[3];

  if (!(x0 | x1 | x2 | x3)) {
    output[0] = output[1] = output[2] = output[3] = 0;
    return;
  }

  s0 = sinpi_1_9 * x0;
  s1 = sinpi_4_9 * x0;
  s2 = sinpi_2_9 * x1;
  s3 = sinpi_1_9 * x1;
  s4 = sinpi_3_9 * x2;
  s5 = sinpi_4_9 * x3;
  s6 = sinpi_2_9 * x3;
  s7 = x0 + x1 - x3;

  x0 = s0 + s2 + s5;
  x1 = sinpi_3_9 * s7;
  x2 = s1 - s3 + s6;
  x3 = s4;

  s0 = x0 + x3;
  s1 = x1;
  s2 = x2 - x3;
  s3 = x2 - x0 + x3;

  // 1-D transform scaling factor is sqrt(2).
  output[0] = (tran_low_t)fdct_round_shift(s0);
  output[1] = (tran_low_t)fdct_round_shift(s1);
  output[2] = (tran_low_t)fdct_round_shift(s2);
  output[3] = (tran_low_t)fdct_round_shift(s3);
}

static void fadst8(const tran_low_t *input, tran_low_t *output) {
  tran_high_t s0, s1, s2, s3, s4, s5, s6, s7;

  tran_high_t x0 = input[7];
  tran_high_t x1 = input[0];
  tran_high_t x2 = input[5];
  tran_high_t x3 = input[2];
  tran_high_t x4 = input[3];
  tran_high_t x5 = input[4];
  tran_high_t x6 = input[1];
  tran_high_t x7 = input[6];

  // stage 1
783
784
  s0 = cospi_2_64 * x0 + cospi_30_64 * x1;
  s1 = cospi_30_64 * x0 - cospi_2_64 * x1;
Jingning Han's avatar
Jingning Han committed
785
786
787
788
  s2 = cospi_10_64 * x2 + cospi_22_64 * x3;
  s3 = cospi_22_64 * x2 - cospi_10_64 * x3;
  s4 = cospi_18_64 * x4 + cospi_14_64 * x5;
  s5 = cospi_14_64 * x4 - cospi_18_64 * x5;
789
790
  s6 = cospi_26_64 * x6 + cospi_6_64 * x7;
  s7 = cospi_6_64 * x6 - cospi_26_64 * x7;
Jingning Han's avatar
Jingning Han committed
791

792
793
794
795
  x0 = s0 + s4;
  x1 = s1 + s5;
  x2 = s2 + s6;
  x3 = s3 + s7;
Jingning Han's avatar
Jingning Han committed
796
797
798
799
800
801
802
803
804
805
  x4 = fdct_round_shift(s0 - s4);
  x5 = fdct_round_shift(s1 - s5);
  x6 = fdct_round_shift(s2 - s6);
  x7 = fdct_round_shift(s3 - s7);

  // stage 2
  s0 = x0;
  s1 = x1;
  s2 = x2;
  s3 = x3;
806
807
808
809
  s4 = cospi_8_64 * x4 + cospi_24_64 * x5;
  s5 = cospi_24_64 * x4 - cospi_8_64 * x5;
  s6 = -cospi_24_64 * x6 + cospi_8_64 * x7;
  s7 = cospi_8_64 * x6 + cospi_24_64 * x7;
Jingning Han's avatar
Jingning Han committed
810

811
812
813
814
  x0 = fdct_round_shift(s0 + s2);
  x1 = fdct_round_shift(s1 + s3);
  x2 = fdct_round_shift(s0 - s2);
  x3 = fdct_round_shift(s1 - s3);
Jingning Han's avatar
Jingning Han committed
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
  x4 = fdct_round_shift(s4 + s6);
  x5 = fdct_round_shift(s5 + s7);
  x6 = fdct_round_shift(s4 - s6);
  x7 = fdct_round_shift(s5 - s7);

  // stage 3
  s2 = cospi_16_64 * (x2 + x3);
  s3 = cospi_16_64 * (x2 - x3);
  s6 = cospi_16_64 * (x6 + x7);
  s7 = cospi_16_64 * (x6 - x7);

  x2 = fdct_round_shift(s2);
  x3 = fdct_round_shift(s3);
  x6 = fdct_round_shift(s6);
  x7 = fdct_round_shift(s7);

  output[0] = (tran_low_t)x0;
  output[1] = (tran_low_t)-x4;
  output[2] = (tran_low_t)x6;
  output[3] = (tran_low_t)-x2;
  output[4] = (tran_low_t)x3;
  output[5] = (tran_low_t)-x7;
  output[6] = (tran_low_t)x5;
  output[7] = (tran_low_t)-x1;
}

static void fadst16(const tran_low_t *input, tran_low_t *output) {
  tran_high_t s0, s1, s2, s3, s4, s5, s6, s7, s8;
  tran_high_t s9, s10, s11, s12, s13, s14, s15;

  tran_high_t x0 = input[15];
  tran_high_t x1 = input[0];
  tran_high_t x2 = input[13];
  tran_high_t x3 = input[2];
  tran_high_t x4 = input[11];
  tran_high_t x5 = input[4];
  tran_high_t x6 = input[9];
  tran_high_t x7 = input[6];
  tran_high_t x8 = input[7];
  tran_high_t x9 = input[8];
  tran_high_t x10 = input[5];
  tran_high_t x11 = input[10];
  tran_high_t x12 = input[3];
  tran_high_t x13 = input[12];
  tran_high_t x14 = input[1];
  tran_high_t x15 = input[14];

  // stage 1
863
  s0 = x0 * cospi_1_64 + x1 * cospi_31_64;
Jingning Han's avatar
Jingning Han committed
864
  s1 = x0 * cospi_31_64 - x1 * cospi_1_64;
865
  s2 = x2 * cospi_5_64 + x3 * cospi_27_64;
Jingning Han's avatar
Jingning Han committed
866
  s3 = x2 * cospi_27_64 - x3 * cospi_5_64;
867
  s4 = x4 * cospi_9_64 + x5 * cospi_23_64;
Jingning Han's avatar
Jingning Han committed
868
869
870
871
872
873
874
875
  s5 = x4 * cospi_23_64 - x5 * cospi_9_64;
  s6 = x6 * cospi_13_64 + x7 * cospi_19_64;
  s7 = x6 * cospi_19_64 - x7 * cospi_13_64;
  s8 = x8 * cospi_17_64 + x9 * cospi_15_64;
  s9 = x8 * cospi_15_64 - x9 * cospi_17_64;
  s10 = x10 * cospi_21_64 + x11 * cospi_11_64;
  s11 = x10 * cospi_11_64 - x11 * cospi_21_64;
  s12 = x12 * cospi_25_64 + x13 * cospi_7_64;
876
  s13 = x12 * cospi_7_64 - x13 * cospi_25_64;
Jingning Han's avatar
Jingning Han committed
877
  s14 = x14 * cospi_29_64 + x15 * cospi_3_64;
878
  s15 = x14 * cospi_3_64 - x15 * cospi_29_64;
Jingning Han's avatar
Jingning Han committed
879

880
881
882
883
884
885
886
887
888
  x0 = s0 + s8;
  x1 = s1 + s9;
  x2 = s2 + s10;
  x3 = s3 + s11;
  x4 = s4 + s12;
  x5 = s5 + s13;
  x6 = s6 + s14;
  x7 = s7 + s15;

889
890
  x8 = fdct_round_shift(s0 - s8);
  x9 = fdct_round_shift(s1 - s9);
Jingning Han's avatar
Jingning Han committed
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
  x10 = fdct_round_shift(s2 - s10);
  x11 = fdct_round_shift(s3 - s11);
  x12 = fdct_round_shift(s4 - s12);
  x13 = fdct_round_shift(s5 - s13);
  x14 = fdct_round_shift(s6 - s14);
  x15 = fdct_round_shift(s7 - s15);

  // stage 2
  s0 = x0;
  s1 = x1;
  s2 = x2;
  s3 = x3;
  s4 = x4;
  s5 = x5;
  s6 = x6;
  s7 = x7;
907
908
909
910
911
912
913
914
  s8 = x8 * cospi_4_64 + x9 * cospi_28_64;
  s9 = x8 * cospi_28_64 - x9 * cospi_4_64;
  s10 = x10 * cospi_20_64 + x11 * cospi_12_64;
  s11 = x10 * cospi_12_64 - x11 * cospi_20_64;
  s12 = -x12 * cospi_28_64 + x13 * cospi_4_64;
  s13 = x12 * cospi_4_64 + x13 * cospi_28_64;
  s14 = -x14 * cospi_12_64 + x15 * cospi_20_64;
  s15 = x14 * cospi_20_64 + x15 * cospi_12_64;
Jingning Han's avatar
Jingning Han committed
915
916
917
918
919

  x0 = s0 + s4;
  x1 = s1 + s5;
  x2 = s2 + s6;
  x3 = s3 + s7;
920
921
922
923
924
925
926
927
928
  x4 = fdct_round_shift(s0 - s4);
  x5 = fdct_round_shift(s1 - s5);
  x6 = fdct_round_shift(s2 - s6);
  x7 = fdct_round_shift(s3 - s7);

  x8 = s8 + s12;
  x9 = s9 + s13;
  x10 = s10 + s14;
  x11 = s11 + s15;
Jingning Han's avatar
Jingning Han committed
929
930
931
932
933
934
935
936
937
938
  x12 = fdct_round_shift(s8 - s12);
  x13 = fdct_round_shift(s9 - s13);
  x14 = fdct_round_shift(s10 - s14);
  x15 = fdct_round_shift(s11 - s15);

  // stage 3
  s0 = x0;
  s1 = x1;
  s2 = x2;
  s3 = x3;
939
  s4 = x4 * cospi_8_64 + x5 * cospi_24_64;
Jingning Han's avatar
Jingning Han committed
940
  s5 = x4 * cospi_24_64 - x5 * cospi_8_64;
941
942
  s6 = -x6 * cospi_24_64 + x7 * cospi_8_64;
  s7 = x6 * cospi_8_64 + x7 * cospi_24_64;
Jingning Han's avatar
Jingning Han committed
943
944
945
946
  s8 = x8;
  s9 = x9;
  s10 = x10;
  s11 = x11;
947
  s12 = x12 * cospi_8_64 + x13 * cospi_24_64;
Jingning Han's avatar
Jingning Han committed
948
  s13 = x12 * cospi_24_64 - x13 * cospi_8_64;
949
950
  s14 = -x14 * cospi_24_64 + x15 * cospi_8_64;
  s15 = x14 * cospi_8_64 + x15 * cospi_24_64;
Jingning Han's avatar
Jingning Han committed
951

952
953
954
955
956
  x0 = fdct_round_shift(s0 + s2);
  x1 = fdct_round_shift(s1 + s3);
  x2 = fdct_round_shift(s0 - s2);
  x3 = fdct_round_shift(s1 - s3);

Jingning Han's avatar
Jingning Han committed
957
958
959
960
  x4 = fdct_round_shift(s4 + s6);
  x5 = fdct_round_shift(s5 + s7);
  x6 = fdct_round_shift(s4 - s6);
  x7 = fdct_round_shift(s5 - s7);
961
962
963
964
965
966

  x8 = fdct_round_shift(s8 + s10);
  x9 = fdct_round_shift(s9 + s11);
  x10 = fdct_round_shift(s8 - s10);
  x11 = fdct_round_shift(s9 - s11);

Jingning Han's avatar
Jingning Han committed
967
968
969
970
971
972
  x12 = fdct_round_shift(s12 + s14);
  x13 = fdct_round_shift(s13 + s15);
  x14 = fdct_round_shift(s12 - s14);
  x15 = fdct_round_shift(s13 - s15);

  // stage 4
973
  s2 = (-cospi_16_64) * (x2 + x3);
Jingning Han's avatar
Jingning Han committed
974
975
  s3 = cospi_16_64 * (x2 - x3);
  s6 = cospi_16_64 * (x6 + x7);
976
  s7 = cospi_16_64 * (-x6 + x7);
Jingning Han's avatar
Jingning Han committed
977
  s10 = cospi_16_64 * (x10 + x11);
978
979
  s11 = cospi_16_64 * (-x10 + x11);
  s14 = (-cospi_16_64) * (x14 + x15);
Jingning Han's avatar
Jingning Han committed
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
  s15 = cospi_16_64 * (x14 - x15);

  x2 = fdct_round_shift(s2);
  x3 = fdct_round_shift(s3);
  x6 = fdct_round_shift(s6);
  x7 = fdct_round_shift(s7);
  x10 = fdct_round_shift(s10);
  x11 = fdct_round_shift(s11);
  x14 = fdct_round_shift(s14);
  x15 = fdct_round_shift(s15);

  output[0] = (tran_low_t)x0;
  output[1] = (tran_low_t)-x8;
  output[2] = (tran_low_t)x12;
  output[3] = (tran_low_t)-x4;
  output[4] = (tran_low_t)x6;
  output[5] = (tran_low_t)x14;
  output[6] = (tran_low_t)x10;
  output[7] = (tran_low_t)x2;
  output[8] = (tran_low_t)x3;
  output[9] = (tran_low_t)x11;
  output[10] = (tran_low_t)x15;
  output[11] = (tran_low_t)x7;
  output[12] = (tran_low_t)x5;
  output[13] = (tran_low_t)-x13;
  output[14] = (tran_low_t)x9;
  output[15] = (tran_low_t)-x1;
}

1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
// For use in lieu of ADST
static void fhalfright32(const tran_low_t *input, tran_low_t *output) {
  int i;
  tran_low_t inputhalf[16];
  for (i = 0; i < 16; ++i) {
    output[16 + i] = input[i] * 4;
  }
  // Multiply input by sqrt(2)
  for (i = 0; i < 16; ++i) {
    inputhalf[i] = (tran_low_t)fdct_round_shift(input[i + 16] * Sqrt2);
  }
  fdct16(inputhalf, output);
  // Note overall scaling factor is 4 times orthogonal
}

Lester Lu's avatar
Lester Lu committed
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
#if CONFIG_LGT
static void flgt4(const tran_low_t *input, tran_low_t *output,
                  const tran_high_t *lgtmtx) {
  if (!(input[0] | input[1] | input[2] | input[3])) {
    output[0] = output[1] = output[2] = output[3] = 0;
    return;
  }

  // evaluate s[j] = sum of all lgtmtx[j][i]*input[i] over i=1,...,4
  tran_high_t s[4] = { 0 };
  for (int i = 0; i < 4; ++i)
    for (int j = 0; j < 4; ++j) s[j] += lgtmtx[j * 4 + i] * input[i];

  for (int i = 0; i < 4; ++i) output[i] = (tran_low_t)fdct_round_shift(s[i]);
}

static void flgt8(const tran_low_t *input, tran_low_t *output,
                  const tran_high_t *lgtmtx) {
  // evaluate s[j] = sum of all lgtmtx[j][i]*input[i] over i=1,...,8
  tran_high_t s[8] = { 0 };
  for (int i = 0; i < 8; ++i)
    for (int j = 0; j < 8; ++j) s[j] += lgtmtx[j * 8 + i] * input[i];

  for (int i = 0; i < 8; ++i) output[i] = (tran_low_t)fdct_round_shift(s[i]);
}

// The get_fwd_lgt functions return 1 if LGT is chosen to apply, and 0 otherwise
int get_fwd_lgt4(transform_1d tx_orig, FWD_TXFM_PARAM *fwd_txfm_param,
                 const tran_high_t *lgtmtx[], int ntx) {
  // inter/intra split
  if (tx_orig == &fadst4) {
    for (int i = 0; i < ntx; ++i)
      lgtmtx[i] = fwd_txfm_param->is_inter ? &lgt4_170[0][0] : &lgt4_140[0][0];
    return 1;
  }
  return 0;
}

int get_fwd_lgt8(transform_1d tx_orig, FWD_TXFM_PARAM *fwd_txfm_param,
                 const tran_high_t *lgtmtx[], int ntx) {
  // inter/intra split
  if (tx_orig == &fadst8) {
    for (int i = 0; i < ntx; ++i)
      lgtmtx[i] = fwd_txfm_param->is_inter ? &lgt8_170[0][0] : &lgt8_150[0][0];
    return 1;
  }
  return 0;
}
#endif  // CONFIG_LGT

1074
#if CONFIG_EXT_TX
1075
1076
1077
1078
// TODO(sarahparker) these functions will be removed once the highbitdepth
// codepath works properly for rectangular transforms. They have almost
// identical versions in av1_fwd_txfm1d.c, but those are currently only
// being used for square transforms.
Debargha Mukherjee's avatar
Debargha Mukherjee committed
1079
1080
1081
1082
1083
1084
1085
1086
static void fidtx4(const tran_low_t *input, tran_low_t *output) {
  int i;
  for (i = 0; i < 4; ++i)
    output[i] = (tran_low_t)fdct_round_shift(input[i] * Sqrt2);
}

static void fidtx8(const tran_low_t *input, tran_low_t *output) {
  int i;
1087
  for (i = 0; i < 8; ++i) output[i] = input[i] * 2;
Debargha Mukherjee's avatar
Debargha Mukherjee committed
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
}

static void fidtx16(const tran_low_t *input, tran_low_t *output) {
  int i;
  for (i = 0; i < 16; ++i)
    output[i] = (tran_low_t)fdct_round_shift(input[i] * 2 * Sqrt2);
}

static void fidtx32(const tran_low_t *input, tran_low_t *output) {
  int i;
1098
  for (i = 0; i < 32; ++i) output[i] = input[i] * 4;
Debargha Mukherjee's avatar
Debargha Mukherjee committed
1099
1100
}

1101
static void copy_block(const int16_t *src, int src_stride, int l, int w,
1102
1103
1104
                       int16_t *dest, int dest_stride) {
  int i;
  for (i = 0; i < l; ++i) {
1105
    memcpy(dest + dest_stride * i, src + src_stride * i, w * sizeof(int16_t));
1106
1107
1108
  }
}

1109
static void fliplr(int16_t *dest, int stride, int l, int w) {
1110
1111
  int i, j;
  for (i = 0; i < l; ++i) {
1112
    for (j = 0; j < w / 2; ++j) {
1113
      const int16_t tmp = dest[i * stride + j];
1114
1115
      dest[i * stride + j] = dest[i * stride + w - 1 - j];
      dest[i * stride + w - 1 - j] = tmp;
1116
1117
1118
1119
    }
  }
}

1120
static void flipud(int16_t *dest, int stride, int l, int w) {
1121
  int i, j;
1122
  for (j = 0; j < w; ++j) {
1123
1124
1125
1126
1127
1128
1129
1130
    for (i = 0; i < l / 2; ++i) {
      const int16_t tmp = dest[i * stride + j];
      dest[i * stride + j] = dest[(l - 1 - i) * stride + j];
      dest[(l - 1 - i) * stride + j] = tmp;
    }
  }
}

1131
static void fliplrud(int16_t *dest, int stride, int l, int w) {
1132
1133
  int i, j;
  for (i = 0; i < l / 2; ++i) {
1134
    for (j = 0; j < w; ++j) {
1135
      const int16_t tmp = dest[i * stride + j];
1136
1137
      dest[i * stride + j] = dest[(l - 1 - i) * stride + w - 1 - j];
      dest[(l - 1 - i) * stride + w - 1 - j] = tmp;
1138
1139
1140
1141
    }
  }
}

1142
static void copy_fliplr(const int16_t *src, int src_stride, int l, int w,
1143
1144
1145
                        int16_t *dest, int dest_stride) {
  copy_block(src, src_stride, l, w, dest, dest_stride);
  fliplr(dest, dest_stride, l, w);
1146
1147
}

1148
static void copy_flipud(const int16_t *src, int src_stride, int l, int w,
1149
1150
1151
                        int16_t *dest, int dest_stride) {
  copy_block(src, src_stride, l, w, dest, dest_stride);
  flipud(dest, dest_stride, l, w);
1152
1153
}

1154
static void copy_fliplrud(const int16_t *src, int src_stride, int l, int w,
1155
1156
1157
                          int16_t *dest, int dest_stride) {
  copy_block(src, src_stride, l, w, dest, dest_stride);
  fliplrud(dest, dest_stride, l, w);
1158
1159
}

1160
static void maybe_flip_input(const int16_t **src, int *src_stride, int l, int w,
1161
1162
1163
1164
1165
1166
                             int16_t *buff, int tx_type) {
  switch (tx_type) {
    case DCT_DCT:
    case ADST_DCT:
    case DCT_ADST:
    case ADST_ADST:
Debargha Mukherjee's avatar
Debargha Mukherjee committed
1167
    case IDTX:
Jingning Han's avatar
Jingning Han committed
1168
    case V_DCT:
1169
1170
    case H_DCT:
    case V_ADST:
1171
    case H_ADST: break;
1172
1173
    case FLIPADST_DCT:
    case FLIPADST_ADST:
1174
    case V_FLIPADST:
1175
      copy_flipud(*src, *src_stride, l, w, buff, w);
1176
      *src = buff;
1177
      *src_stride = w;
1178
1179
1180
      break;
    case DCT_FLIPADST:
    case ADST_FLIPADST:
1181
    case H_FLIPADST:
1182
      copy_fliplr(*src, *src_stride, l, w, buff, w);
1183
      *src = buff;
1184
      *src_stride = w;
1185
1186
      break;
    case FLIPADST_FLIPADST:
1187
      copy_fliplrud(*src, *src_stride, l, w, buff, w);
1188
      *src = buff;
1189
      *src_stride = w;
1190
      break;
1191
    default: assert(0); break;
1192
1193
1194
1195
  }
}
#endif  // CONFIG_EXT_TX

Yaowu Xu's avatar
Yaowu Xu committed
1196
void av1_fht4x4_c(const int16_t *input, tran_low_t *output, int stride,
1197
1198
                  FWD_TXFM_PARAM *fwd_txfm_param) {
  int tx_type = fwd_txfm_param->tx_type;
1199
1200
1201
#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif
Jingning Han's avatar
Jingning Han committed
1202
  if (tx_type == DCT_DCT) {
Yaowu Xu's avatar
Yaowu Xu committed
1203
    aom_fdct4x4_c(input, output, stride);
Jingning Han's avatar
Jingning Han committed
1204
  } else {
Geza Lore's avatar
Geza Lore committed
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
    static const transform_2d FHT[] = {
      { fdct4, fdct4 },    // DCT_DCT
      { fadst4, fdct4 },   // ADST_DCT
      { fdct4, fadst4 },   // DCT_ADST
      { fadst4, fadst4 },  // ADST_ADST
#if CONFIG_EXT_TX
      { fadst4, fdct4 },   // FLIPADST_DCT
      { fdct4, fadst4 },   // DCT_FLIPADST
      { fadst4, fadst4 },  // FLIPADST_FLIPADST
      { fadst4, fadst4 },  // ADST_FLIPADST
      { fadst4, fadst4 },  // FLIPADST_ADST
      { fidtx4, fidtx4 },  // IDTX
      { fdct4, fidtx4 },   // V_DCT
      { fidtx4, fdct4 },   // H_DCT
      { fadst4, fidtx4 },  // V_ADST
      { fidtx4, fadst4 },  // H_ADST
      { fadst4, fidtx4 },  // V_FLIPADST
      { fidtx4, fadst4 },  // H_FLIPADST
Lester Lu's avatar
Lester Lu committed
1223
#endif
Geza Lore's avatar
Geza Lore committed
1224
1225
    };
    const transform_2d ht = FHT[tx_type];
Jingning Han's avatar
Jingning Han committed
1226
1227
1228
1229
    tran_low_t out[4 * 4];
    int i, j;
    tran_low_t temp_in[4], temp_out[4];

1230
1231
#if CONFIG_EXT_TX
    int16_t flipped_input[4 * 4];
1232
    maybe_flip_input(&input, &stride, 4, 4, flipped_input, tx_type);
1233
1234
#endif

Lester Lu's avatar
Lester Lu committed
1235
1236
1237
1238
1239
1240
1241
1242
1243
#if CONFIG_LGT
    // Choose LGT adaptive to the prediction. We may apply different LGTs for
    // different rows/columns, indicated by the pointers to 2D arrays
    const tran_high_t *lgtmtx_col[4];
    const tran_high_t *lgtmtx_row[4];
    int use_lgt_col = get_fwd_lgt4(ht.cols, fwd_txfm_param, lgtmtx_col, 4);
    int use_lgt_row = get_fwd_lgt4(ht.rows, fwd_txfm_param, lgtmtx_row, 4);
#endif

Jingning Han's avatar
Jingning Han committed
1244
1245
    // Columns
    for (i = 0; i < 4; ++i) {
1246
1247
      for (j = 0; j < 4; ++j) temp_in[j] = input[j * stride + i] * 16;
      if (i == 0 && temp_in[0]) temp_in[0] += 1;
Lester Lu's avatar
Lester Lu committed
1248
1249
1250
1251
1252
1253
#if CONFIG_LGT
      if (use_lgt_col)
        flgt4(temp_in, temp_out, lgtmtx_col[i]);
      else
#endif
        ht.cols(temp_in, temp_out);
1254
      for (j = 0; j < 4; ++j) out[j * 4 + i] = temp_out[j];
Jingning Han's avatar
Jingning Han committed
1255
1256
1257
1258
    }

    // Rows
    for (i = 0; i < 4; ++i) {
1259
      for (j = 0; j < 4; ++j) temp_in[j] = out[j + i * 4];
Lester Lu's avatar
Lester Lu committed
1260
1261
1262
1263
1264
1265
#if CONFIG_LGT
      if (use_lgt_row)
        flgt4(temp_in, temp_out, lgtmtx_row[i]);
      else
#endif
        ht.rows(temp_in, temp_out);
1266
      for (j = 0; j < 4; ++j) output[j + i * 4] = (temp_out[j] + 1) >> 2;
Jingning Han's avatar
Jingning Han committed
1267
1268
1269
1270
    }
  }
}

Yaowu Xu's avatar
Yaowu Xu committed
1271
void av1_fht4x8_c(const int16_t *input, tran_low_t *output, int stride,
1272
1273
                  FWD_TXFM_PARAM *fwd_txfm_param) {
  int tx_type = fwd_txfm_param->tx_type;
1274
1275
1276
#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif
Geza Lore's avatar
Geza Lore committed
1277
1278
1279
1280
1281
  static const transform_2d FHT[] = {
    { fdct8, fdct4 },    // DCT_DCT
    { fadst8, fdct4 },   // ADST_DCT
    { fdct8, fadst4 },   // DCT_ADST
    { fadst8, fadst4 },  // ADST_ADST
1282
#if CONFIG_EXT_TX
Geza Lore's avatar
Geza Lore committed
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
    { fadst8, fdct4 },   // FLIPADST_DCT
    { fdct8, fadst4 },   // DCT_FLIPADST
    { fadst8, fadst4 },  // FLIPADST_FLIPADST
    { fadst8, fadst4 },  // ADST_FLIPADST
    { fadst8, fadst4 },  // FLIPADST_ADST
    { fidtx8, fidtx4 },  // IDTX
    { fdct8, fidtx4 },   // V_DCT
    { fidtx8, fdct4 },   // H_DCT
    { fadst8, fidtx4 },  // V_ADST
    { fidtx8, fadst4 },  // H_ADST
    { fadst8, fidtx4 },  // V_FLIPADST
    { fidtx8, fadst4 },  // H_FLIPADST
1295
#endif
Geza Lore's avatar
Geza Lore committed
1296
1297
  };
  const transform_2d ht = FHT[tx_type];
1298
1299
1300
1301
1302
  const int n = 4;
  const int n2 = 8;
  tran_low_t out[8 * 4];
  tran_low_t temp_in[8], temp_out[8];
  int i, j;
1303
#if CONFIG_EXT_TX
1304
1305
  int16_t flipped_input[8 * 4];
  maybe_flip_input(&input, &stride, n2, n, flipped_input, tx_type);
1306
#endif
1307

Lester Lu's avatar
Lester Lu committed
1308
1309
1310
1311
1312
1313
1314
#if CONFIG_LGT
  const tran_high_t *lgtmtx_col[4];
  const tran_high_t *lgtmtx_row[8];
  int use_lgt_col = get_fwd_lgt8(ht.cols, fwd_txfm_param, lgtmtx_col, 4);
  int use_lgt_row = get_fwd_lgt4(ht.rows, fwd_txfm_param, lgtmtx_row, 8);
#endif

1315
1316
  // Rows
  for (i = 0; i < n2; ++i) {
1317
1318
1319
    for (j = 0; j < n; ++j)
      temp_in[j] =
          (tran_low_t)fdct_round_shift(input[i * stride + j] * 4 * Sqrt2);
Lester Lu's avatar
Lester Lu committed
1320
1321
1322
1323
1324
1325
#if CONFIG_LGT
    if (use_lgt_row)
      flgt4(temp_in, temp_out, lgtmtx_row[i]);
    else
#endif
      ht.rows(temp_in, temp_out);
1326
1327
1328
1329
1330
1331
    for (j = 0; j < n; ++j) out[j * n2 + i] = temp_out[j];
  }

  // Columns
  for (i = 0; i < n; ++i) {
    for (j = 0; j < n2; ++j) temp_in[j] = out[j + i * n2];
Lester Lu's avatar
Lester Lu committed
1332
1333
1334
1335
1336
1337
#if CONFIG_LGT
    if (use_lgt_col)
      flgt8(temp_in, temp_out, lgtmtx_col[i]);
    else
#endif
      ht.cols(temp_in, temp_out);
1338
1339
    for (j = 0; j < n2; ++j)
      output[i + j * n] = (temp_out[j] + (temp_out[j] < 0)) >> 1;
1340
1341
1342
1343
  }
  // Note: overall scale factor of transform is 8 times unitary
}

Yaowu Xu's avatar
Yaowu Xu committed
1344
void av1_fht8x4_c(const int16_t *input, tran_low_t *output, int stride,
1345
1346
                  FWD_TXFM_PARAM *fwd_txfm_param) {
  int tx_type = fwd_txfm_param->tx_type;
1347
1348
1349
#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif
Geza Lore's avatar
Geza Lore committed
1350
1351
1352
1353
1354
  static const transform_2d FHT[] = {
    { fdct4, fdct8 },    // DCT_DCT
    { fadst4, fdct8 },   // ADST_DCT
    { fdct4, fadst8 },   // DCT_ADST
    { fadst4, fadst8 },  // ADST_ADST
1355
#if CONFIG_EXT_TX
Geza Lore's avatar
Geza Lore committed
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
    { fadst4, fdct8 },   // FLIPADST_DCT
    { fdct4, fadst8 },   // DCT_FLIPADST
    { fadst4, fadst8 },  // FLIPADST_FLIPADST
    { fadst4, fadst8 },  // ADST_FLIPADST
    { fadst4, fadst8 },  // FLIPADST_ADST
    { fidtx4, fidtx8 },  // IDTX
    { fdct4, fidtx8 },   // V_DCT
    { fidtx4, fdct8 },   // H_DCT
    { fadst4, fidtx8 },  // V_ADST
    { fidtx4, fadst8 },  // H_ADST
    { fadst4, fidtx8 },  // V_FLIPADST
    { fidtx4, fadst8 },  // H_FLIPADST
1368
#endif
Geza Lore's avatar
Geza Lore committed
1369
1370
  };
  const transform_2d ht = FHT[tx_type];
1371
1372
1373
1374
1375
  const int n = 4;
  const int n2 = 8;
  tran_low_t out[8 * 4];
  tran_low_t temp_in[8], temp_out[8];
  int i, j;
1376
#if CONFIG_EXT_TX
1377
1378
  int16_t flipped_input[8 * 4];
  maybe_flip_input(&input, &stride, n, n2, flipped_input, tx_type);
1379
#endif
1380

Lester Lu's avatar
Lester Lu committed
1381
1382
1383
1384
1385
1386
1387
#if CONFIG_LGT
  const tran_high_t *lgtmtx_col[8];
  const tran_high_t *lgtmtx_row[4];
  int use_lgt_col = get_fwd_lgt4(ht.cols, fwd_txfm_param, lgtmtx_col, 8);
  int use_lgt_row = get_fwd_lgt8(ht.rows, fwd_txfm_param, lgtmtx_row, 4);
#endif

1388
1389
  // Columns
  for (i = 0; i < n2; ++i) {
1390
    for (j = 0; j < n; ++j)
clang-format's avatar
clang-format committed
1391
      temp_in[j] =
1392
          (tran_low_t)fdct_round_shift(input[j * stride + i] * 4 * Sqrt2);
Lester Lu's avatar
Lester Lu committed
1393
1394
1395
1396
1397
1398
#if CONFIG_LGT
    if (use_lgt_col)
      flgt4(temp_in, temp_out, lgtmtx_col[i]);
    else
#endif
      ht.cols(temp_in, temp_out);
clang-format's avatar
clang-format committed
1399
    for (j = 0; j < n; ++j) out[j * n2 + i] = temp_out[j];
1400
1401
1402
1403
  }

  // Rows
  for (i = 0; i < n; ++i) {
1404
    for (j = 0; j < n2; ++j) temp_in[j] = out[j + i * n2];
Lester Lu's avatar
Lester Lu committed
1405
1406
1407
1408
1409
1410
#if CONFIG_LGT
    if (use_lgt_row)
      flgt8(temp_in, temp_out, lgtmtx_row[i]);
    else
#endif
      ht.rows(temp_in, temp_out);
1411
1412
    for (j = 0; j < n2; ++j)
      output[j + i * n2] = (temp_out[j] + (temp_out[j] < 0)) >> 1;
1413
1414
1415
  }
  // Note: overall scale factor of transform is 8 times unitary
}
1416

1417
void av1_fht4x16_c(const int16_t *input, tran_low_t *output, int stride,
1418
1419
                   FWD_TXFM_PARAM *fwd_txfm_param) {
  int tx_type = fwd_txfm_param->tx_type;
1420
1421
1422
#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
  static const transform_2d FHT[] = {
    { fdct16, fdct4 },    // DCT_DCT
    { fadst16, fdct4 },   // ADST_DCT
    { fdct16, fadst4 },   // DCT_ADST
    { fadst16, fadst4 },  // ADST_ADST
#if CONFIG_EXT_TX
    { fadst16, fdct4 },   // FLIPADST_DCT
    { fdct16, fadst4 },   // DCT_FLIPADST
    { fadst16, fadst4 },  // FLIPADST_FLIPADST
    { fadst16, fadst4 },  // ADST_FLIPADST
    { fadst16, fadst4 },  // FLIPADST_ADST
    { fidtx16, fidtx4 },  // IDTX
    { fdct16, fidtx4 },   // V_DCT
    { fidtx16, fdct4 },   // H_DCT
    { fadst16, fidtx4 },  // V_ADST
    { fidtx16, fadst4 },  // H_ADST
    { fadst16, fidtx4 },  // V_FLIPADST
    { fidtx16, fadst4 },  // H_FLIPADST
#endif
  };
  const transform_2d ht = FHT[tx_type];
  const int n = 4;
  const int n4 = 16;
  tran_low_t out[16 * 4];
  tran_low_t temp_in[16], temp_out[16];
  int i, j;
#if CONFIG_EXT_TX
  int16_t flipped_input[16 * 4];
  maybe_flip_input(&input, &stride, n4, n, flipped_input, tx_type);
#endif

Lester Lu's avatar
Lester Lu committed
1454
1455
1456
1457
1458
#if CONFIG_LGT
  const tran_high_t *lgtmtx_row[16];
  int use_lgt_row = get_fwd_lgt4(ht.rows, fwd_txfm_param, lgtmtx_row, 16);
#endif

1459
1460
1461
  // Rows
  for (i = 0; i < n4; ++i) {
    for (j = 0; j < n; ++j) temp_in[j] = input[i * stride + j] * 4;
Lester Lu's avatar
Lester Lu committed