FFmpeg
jpeg2000dwt.c
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1 /*
2  * Discrete wavelet transform
3  * Copyright (c) 2007 Kamil Nowosad
4  * Copyright (c) 2013 Nicolas Bertrand <nicoinattendu@gmail.com>
5  *
6  * This file is part of FFmpeg.
7  *
8  * FFmpeg is free software; you can redistribute it and/or
9  * modify it under the terms of the GNU Lesser General Public
10  * License as published by the Free Software Foundation; either
11  * version 2.1 of the License, or (at your option) any later version.
12  *
13  * FFmpeg is distributed in the hope that it will be useful,
14  * but WITHOUT ANY WARRANTY; without even the implied warranty of
15  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
16  * Lesser General Public License for more details.
17  *
18  * You should have received a copy of the GNU Lesser General Public
19  * License along with FFmpeg; if not, write to the Free Software
20  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
21  */
22 
23 /**
24  * @file
25  * Discrete wavelet transform
26  */
27 
28 #include "libavutil/error.h"
29 #include "libavutil/macros.h"
30 #include "libavutil/mem.h"
31 #include "jpeg2000dwt.h"
32 
33 /* Defines for 9/7 DWT lifting parameters.
34  * Parameters are in float. */
35 #define F_LFTG_ALPHA 1.586134342059924f
36 #define F_LFTG_BETA 0.052980118572961f
37 #define F_LFTG_GAMMA 0.882911075530934f
38 #define F_LFTG_DELTA 0.443506852043971f
39 
40 /* Lifting parameters in integer format.
41  * Computed as param = (float param) * (1 << 16) */
42 #define I_LFTG_ALPHA 103949ll
43 #define I_LFTG_BETA 3472ll
44 #define I_LFTG_GAMMA 57862ll
45 #define I_LFTG_DELTA 29066ll
46 #define I_LFTG_K 80621ll
47 #define I_LFTG_X 53274ll
48 #define I_PRESHIFT 8
49 
50 static inline void extend53(int *p, int i0, int i1)
51 {
52  p[i0 - 1] = p[i0 + 1];
53  p[i1] = p[i1 - 2];
54  p[i0 - 2] = p[i0 + 2];
55  p[i1 + 1] = p[i1 - 3];
56 }
57 
58 static inline void extend97_float(float *p, int i0, int i1)
59 {
60  int i;
61 
62  for (i = 1; i <= 4; i++) {
63  p[i0 - i] = p[i0 + i];
64  p[i1 + i - 1] = p[i1 - i - 1];
65  }
66 }
67 
68 static inline void extend97_int(int32_t *p, int i0, int i1)
69 {
70  int i;
71 
72  for (i = 1; i <= 4; i++) {
73  p[i0 - i] = p[i0 + i];
74  p[i1 + i - 1] = p[i1 - i - 1];
75  }
76 }
77 
78 static void sd_1d53(int *p, int i0, int i1)
79 {
80  int i;
81 
82  if (i1 <= i0 + 1) {
83  if (i0 == 1)
84  p[1] *= 2;
85  return;
86  }
87 
88  extend53(p, i0, i1);
89 
90  for (i = ((i0+1)>>1) - 1; i < (i1+1)>>1; i++)
91  p[2*i+1] -= (p[2*i] + p[2*i+2]) >> 1;
92  for (i = ((i0+1)>>1); i < (i1+1)>>1; i++)
93  p[2*i] += (p[2*i-1] + p[2*i+1] + 2) >> 2;
94 }
95 
96 static void dwt_encode53(DWTContext *s, int *t)
97 {
98  int lev,
99  w = s->linelen[s->ndeclevels-1][0];
100  int *line = s->i_linebuf;
101  line += 3;
102 
103  for (lev = s->ndeclevels-1; lev >= 0; lev--){
104  int lh = s->linelen[lev][0],
105  lv = s->linelen[lev][1],
106  mh = s->mod[lev][0],
107  mv = s->mod[lev][1],
108  lp;
109  int *l;
110 
111  // VER_SD
112  l = line + mv;
113  for (lp = 0; lp < lh; lp++) {
114  int i, j = 0;
115 
116  for (i = 0; i < lv; i++)
117  l[i] = t[w*i + lp];
118 
119  sd_1d53(line, mv, mv + lv);
120 
121  // copy back and deinterleave
122  for (i = mv; i < lv; i+=2, j++)
123  t[w*j + lp] = l[i];
124  for (i = 1-mv; i < lv; i+=2, j++)
125  t[w*j + lp] = l[i];
126  }
127 
128  // HOR_SD
129  l = line + mh;
130  for (lp = 0; lp < lv; lp++){
131  int i, j = 0;
132 
133  for (i = 0; i < lh; i++)
134  l[i] = t[w*lp + i];
135 
136  sd_1d53(line, mh, mh + lh);
137 
138  // copy back and deinterleave
139  for (i = mh; i < lh; i+=2, j++)
140  t[w*lp + j] = l[i];
141  for (i = 1-mh; i < lh; i+=2, j++)
142  t[w*lp + j] = l[i];
143  }
144  }
145 }
146 static void sd_1d97_float(float *p, int i0, int i1)
147 {
148  int i;
149 
150  if (i1 <= i0 + 1) {
151  if (i0 == 1)
152  p[1] *= F_LFTG_X * 2;
153  else
154  p[0] *= F_LFTG_K;
155  return;
156  }
157 
158  extend97_float(p, i0, i1);
159  i0++; i1++;
160 
161  for (i = (i0>>1) - 2; i < (i1>>1) + 1; i++)
162  p[2*i+1] -= 1.586134 * (p[2*i] + p[2*i+2]);
163  for (i = (i0>>1) - 1; i < (i1>>1) + 1; i++)
164  p[2*i] -= 0.052980 * (p[2*i-1] + p[2*i+1]);
165  for (i = (i0>>1) - 1; i < (i1>>1); i++)
166  p[2*i+1] += 0.882911 * (p[2*i] + p[2*i+2]);
167  for (i = (i0>>1); i < (i1>>1); i++)
168  p[2*i] += 0.443506 * (p[2*i-1] + p[2*i+1]);
169 }
170 
171 static void dwt_encode97_float(DWTContext *s, float *t)
172 {
173  int lev,
174  w = s->linelen[s->ndeclevels-1][0];
175  float *line = s->f_linebuf;
176  line += 5;
177 
178  for (lev = s->ndeclevels-1; lev >= 0; lev--){
179  int lh = s->linelen[lev][0],
180  lv = s->linelen[lev][1],
181  mh = s->mod[lev][0],
182  mv = s->mod[lev][1],
183  lp;
184  float *l;
185 
186  // HOR_SD
187  l = line + mh;
188  for (lp = 0; lp < lv; lp++){
189  int i, j = 0;
190 
191  for (i = 0; i < lh; i++)
192  l[i] = t[w*lp + i];
193 
194  sd_1d97_float(line, mh, mh + lh);
195 
196  // copy back and deinterleave
197  for (i = mh; i < lh; i+=2, j++)
198  t[w*lp + j] = l[i];
199  for (i = 1-mh; i < lh; i+=2, j++)
200  t[w*lp + j] = l[i];
201  }
202 
203  // VER_SD
204  l = line + mv;
205  for (lp = 0; lp < lh; lp++) {
206  int i, j = 0;
207 
208  for (i = 0; i < lv; i++)
209  l[i] = t[w*i + lp];
210 
211  sd_1d97_float(line, mv, mv + lv);
212 
213  // copy back and deinterleave
214  for (i = mv; i < lv; i+=2, j++)
215  t[w*j + lp] = l[i];
216  for (i = 1-mv; i < lv; i+=2, j++)
217  t[w*j + lp] = l[i];
218  }
219  }
220 }
221 
222 static void sd_1d97_int(int *p, int i0, int i1)
223 {
224  int i;
225 
226  if (i1 <= i0 + 1) {
227  if (i0 == 1)
228  p[1] = (p[1] * I_LFTG_X + (1<<14)) >> 15;
229  else
230  p[0] = (p[0] * I_LFTG_K + (1<<15)) >> 16;
231  return;
232  }
233 
234  extend97_int(p, i0, i1);
235  i0++; i1++;
236 
237  for (i = (i0>>1) - 2; i < (i1>>1) + 1; i++)
238  p[2 * i + 1] -= (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
239  for (i = (i0>>1) - 1; i < (i1>>1) + 1; i++)
240  p[2 * i] -= (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
241  for (i = (i0>>1) - 1; i < (i1>>1); i++)
242  p[2 * i + 1] += (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
243  for (i = (i0>>1); i < (i1>>1); i++)
244  p[2 * i] += (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
245 }
246 
247 static void dwt_encode97_int(DWTContext *s, int *t)
248 {
249  int lev;
250  int w = s->linelen[s->ndeclevels-1][0];
251  int h = s->linelen[s->ndeclevels-1][1];
252  int i;
253  int *line = s->i_linebuf;
254  line += 5;
255 
256  for (i = 0; i < w * h; i++)
257  t[i] *= 1 << I_PRESHIFT;
258 
259  for (lev = s->ndeclevels-1; lev >= 0; lev--){
260  int lh = s->linelen[lev][0],
261  lv = s->linelen[lev][1],
262  mh = s->mod[lev][0],
263  mv = s->mod[lev][1],
264  lp;
265  int *l;
266 
267  // VER_SD
268  l = line + mv;
269  for (lp = 0; lp < lh; lp++) {
270  int i, j = 0;
271 
272  for (i = 0; i < lv; i++)
273  l[i] = t[w*i + lp];
274 
275  sd_1d97_int(line, mv, mv + lv);
276 
277  // copy back and deinterleave
278  for (i = mv; i < lv; i+=2, j++)
279  t[w*j + lp] = ((l[i] * I_LFTG_X) + (1 << 15)) >> 16;
280  for (i = 1-mv; i < lv; i+=2, j++)
281  t[w*j + lp] = l[i];
282  }
283 
284  // HOR_SD
285  l = line + mh;
286  for (lp = 0; lp < lv; lp++){
287  int i, j = 0;
288 
289  for (i = 0; i < lh; i++)
290  l[i] = t[w*lp + i];
291 
292  sd_1d97_int(line, mh, mh + lh);
293 
294  // copy back and deinterleave
295  for (i = mh; i < lh; i+=2, j++)
296  t[w*lp + j] = ((l[i] * I_LFTG_X) + (1 << 15)) >> 16;
297  for (i = 1-mh; i < lh; i+=2, j++)
298  t[w*lp + j] = l[i];
299  }
300 
301  }
302 
303  for (i = 0; i < w * h; i++)
304  t[i] = (t[i] + ((1<<I_PRESHIFT)>>1)) >> I_PRESHIFT;
305 }
306 
307 static void sr_1d53(unsigned *p, int i0, int i1)
308 {
309  int i;
310 
311  if (i1 <= i0 + 1) {
312  if (i0 == 1)
313  p[1] = (int)p[1] >> 1;
314  return;
315  }
316 
317  extend53(p, i0, i1);
318 
319  for (i = (i0 >> 1); i < (i1 >> 1) + 1; i++)
320  p[2 * i] -= (int)(p[2 * i - 1] + p[2 * i + 1] + 2) >> 2;
321  for (i = (i0 >> 1); i < (i1 >> 1); i++)
322  p[2 * i + 1] += (int)(p[2 * i] + p[2 * i + 2]) >> 1;
323 }
324 
325 static void dwt_decode53(DWTContext *s, int *t)
326 {
327  int lev;
328  int w = s->linelen[s->ndeclevels - 1][0];
329  int32_t *line = s->i_linebuf;
330  line += 3;
331 
332  for (lev = 0; lev < s->ndeclevels; lev++) {
333  int lh = s->linelen[lev][0],
334  lv = s->linelen[lev][1],
335  mh = s->mod[lev][0],
336  mv = s->mod[lev][1],
337  lp;
338  int *l;
339 
340  // HOR_SD
341  l = line + mh;
342  for (lp = 0; lp < lv; lp++) {
343  int i, j = 0;
344  // copy with interleaving
345  for (i = mh; i < lh; i += 2, j++)
346  l[i] = t[w * lp + j];
347  for (i = 1 - mh; i < lh; i += 2, j++)
348  l[i] = t[w * lp + j];
349 
350  sr_1d53(line, mh, mh + lh);
351 
352  for (i = 0; i < lh; i++)
353  t[w * lp + i] = l[i];
354  }
355 
356  // VER_SD
357  l = line + mv;
358  for (lp = 0; lp < lh; lp++) {
359  int i, j = 0;
360  // copy with interleaving
361  for (i = mv; i < lv; i += 2, j++)
362  l[i] = t[w * j + lp];
363  for (i = 1 - mv; i < lv; i += 2, j++)
364  l[i] = t[w * j + lp];
365 
366  sr_1d53(line, mv, mv + lv);
367 
368  for (i = 0; i < lv; i++)
369  t[w * i + lp] = l[i];
370  }
371  }
372 }
373 
374 static void sr_1d97_float(float *p, int i0, int i1)
375 {
376  int i;
377 
378  if (i1 <= i0 + 1) {
379  if (i0 == 1)
380  p[1] *= F_LFTG_K/2;
381  else
382  p[0] *= F_LFTG_X;
383  return;
384  }
385 
386  extend97_float(p, i0, i1);
387 
388  for (i = (i0 >> 1) - 1; i < (i1 >> 1) + 2; i++)
389  p[2 * i] -= F_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]);
390  /* step 4 */
391  for (i = (i0 >> 1) - 1; i < (i1 >> 1) + 1; i++)
392  p[2 * i + 1] -= F_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]);
393  /*step 5*/
394  for (i = (i0 >> 1); i < (i1 >> 1) + 1; i++)
395  p[2 * i] += F_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]);
396  /* step 6 */
397  for (i = (i0 >> 1); i < (i1 >> 1); i++)
398  p[2 * i + 1] += F_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]);
399 }
400 
401 static void dwt_decode97_float(DWTContext *s, float *t)
402 {
403  int lev;
404  int w = s->linelen[s->ndeclevels - 1][0];
405  float *line = s->f_linebuf;
406  float *data = t;
407  /* position at index O of line range [0-5,w+5] cf. extend function */
408  line += 5;
409 
410  for (lev = 0; lev < s->ndeclevels; lev++) {
411  int lh = s->linelen[lev][0],
412  lv = s->linelen[lev][1],
413  mh = s->mod[lev][0],
414  mv = s->mod[lev][1],
415  lp;
416  float *l;
417  // HOR_SD
418  l = line + mh;
419  for (lp = 0; lp < lv; lp++) {
420  int i, j = 0;
421  // copy with interleaving
422  for (i = mh; i < lh; i += 2, j++)
423  l[i] = data[w * lp + j];
424  for (i = 1 - mh; i < lh; i += 2, j++)
425  l[i] = data[w * lp + j];
426 
427  sr_1d97_float(line, mh, mh + lh);
428 
429  for (i = 0; i < lh; i++)
430  data[w * lp + i] = l[i];
431  }
432 
433  // VER_SD
434  l = line + mv;
435  for (lp = 0; lp < lh; lp++) {
436  int i, j = 0;
437  // copy with interleaving
438  for (i = mv; i < lv; i += 2, j++)
439  l[i] = data[w * j + lp];
440  for (i = 1 - mv; i < lv; i += 2, j++)
441  l[i] = data[w * j + lp];
442 
443  sr_1d97_float(line, mv, mv + lv);
444 
445  for (i = 0; i < lv; i++)
446  data[w * i + lp] = l[i];
447  }
448  }
449 }
450 
451 static void sr_1d97_int(int32_t *p, int i0, int i1)
452 {
453  int i;
454 
455  if (i1 <= i0 + 1) {
456  if (i0 == 1)
457  p[1] = (p[1] * I_LFTG_K + (1<<16)) >> 17;
458  else
459  p[0] = (p[0] * I_LFTG_X + (1<<15)) >> 16;
460  return;
461  }
462 
463  extend97_int(p, i0, i1);
464 
465  for (i = (i0 >> 1) - 1; i < (i1 >> 1) + 2; i++)
466  p[2 * i] -= (I_LFTG_DELTA * (p[2 * i - 1] + (int64_t)p[2 * i + 1]) + (1 << 15)) >> 16;
467  /* step 4 */
468  for (i = (i0 >> 1) - 1; i < (i1 >> 1) + 1; i++)
469  p[2 * i + 1] -= (I_LFTG_GAMMA * (p[2 * i] + (int64_t)p[2 * i + 2]) + (1 << 15)) >> 16;
470  /*step 5*/
471  for (i = (i0 >> 1); i < (i1 >> 1) + 1; i++)
472  p[2 * i] += (I_LFTG_BETA * (p[2 * i - 1] + (int64_t)p[2 * i + 1]) + (1 << 15)) >> 16;
473  /* step 6 */
474  for (i = (i0 >> 1); i < (i1 >> 1); i++)
475  p[2 * i + 1] += (I_LFTG_ALPHA * (p[2 * i] + (int64_t)p[2 * i + 2]) + (1 << 15)) >> 16;
476 }
477 
478 static void dwt_decode97_int(DWTContext *s, int32_t *t)
479 {
480  int lev;
481  int w = s->linelen[s->ndeclevels - 1][0];
482  int h = s->linelen[s->ndeclevels - 1][1];
483  int i;
484  int32_t *line = s->i_linebuf;
485  int32_t *data = t;
486  /* position at index O of line range [0-5,w+5] cf. extend function */
487  line += 5;
488 
489  for (i = 0; i < w * h; i++)
490  data[i] *= 1LL << I_PRESHIFT;
491 
492  for (lev = 0; lev < s->ndeclevels; lev++) {
493  int lh = s->linelen[lev][0],
494  lv = s->linelen[lev][1],
495  mh = s->mod[lev][0],
496  mv = s->mod[lev][1],
497  lp;
498  int32_t *l;
499  // HOR_SD
500  l = line + mh;
501  for (lp = 0; lp < lv; lp++) {
502  int i, j = 0;
503  // rescale with interleaving
504  for (i = mh; i < lh; i += 2, j++)
505  l[i] = ((data[w * lp + j] * I_LFTG_K) + (1 << 15)) >> 16;
506  for (i = 1 - mh; i < lh; i += 2, j++)
507  l[i] = data[w * lp + j];
508 
509  sr_1d97_int(line, mh, mh + lh);
510 
511  for (i = 0; i < lh; i++)
512  data[w * lp + i] = l[i];
513  }
514 
515  // VER_SD
516  l = line + mv;
517  for (lp = 0; lp < lh; lp++) {
518  int i, j = 0;
519  // rescale with interleaving
520  for (i = mv; i < lv; i += 2, j++)
521  l[i] = ((data[w * j + lp] * I_LFTG_K) + (1 << 15)) >> 16;
522  for (i = 1 - mv; i < lv; i += 2, j++)
523  l[i] = data[w * j + lp];
524 
525  sr_1d97_int(line, mv, mv + lv);
526 
527  for (i = 0; i < lv; i++)
528  data[w * i + lp] = l[i];
529  }
530  }
531 
532  for (i = 0; i < w * h; i++)
533  data[i] = (data[i] + ((1LL<<I_PRESHIFT)>>1)) >> I_PRESHIFT;
534 }
535 
536 int ff_jpeg2000_dwt_init(DWTContext *s, int border[2][2],
537  int decomp_levels, int type)
538 {
539  int i, j, lev = decomp_levels, maxlen,
540  b[2][2];
541 
542  s->ndeclevels = decomp_levels;
543  s->type = type;
544 
545  for (i = 0; i < 2; i++)
546  for (j = 0; j < 2; j++)
547  b[i][j] = border[i][j];
548 
549  maxlen = FFMAX(b[0][1] - b[0][0],
550  b[1][1] - b[1][0]);
551  while (--lev >= 0)
552  for (i = 0; i < 2; i++) {
553  s->linelen[lev][i] = b[i][1] - b[i][0];
554  s->mod[lev][i] = b[i][0] & 1;
555  for (j = 0; j < 2; j++)
556  b[i][j] = (b[i][j] + 1) >> 1;
557  }
558  switch (type) {
559  case FF_DWT97:
560  s->f_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->f_linebuf));
561  if (!s->f_linebuf)
562  return AVERROR(ENOMEM);
563  break;
564  case FF_DWT97_INT:
565  s->i_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->i_linebuf));
566  if (!s->i_linebuf)
567  return AVERROR(ENOMEM);
568  break;
569  case FF_DWT53:
570  s->i_linebuf = av_malloc_array((maxlen + 6), sizeof(*s->i_linebuf));
571  if (!s->i_linebuf)
572  return AVERROR(ENOMEM);
573  break;
574  default:
575  return -1;
576  }
577  return 0;
578 }
579 
580 int ff_dwt_encode(DWTContext *s, void *t)
581 {
582  if (s->ndeclevels == 0)
583  return 0;
584 
585  switch(s->type){
586  case FF_DWT97:
587  dwt_encode97_float(s, t); break;
588  case FF_DWT97_INT:
589  dwt_encode97_int(s, t); break;
590  case FF_DWT53:
591  dwt_encode53(s, t); break;
592  default:
593  return -1;
594  }
595  return 0;
596 }
597 
598 int ff_dwt_decode(DWTContext *s, void *t)
599 {
600  if (s->ndeclevels == 0)
601  return 0;
602 
603  switch (s->type) {
604  case FF_DWT97:
605  dwt_decode97_float(s, t);
606  break;
607  case FF_DWT97_INT:
608  dwt_decode97_int(s, t);
609  break;
610  case FF_DWT53:
611  dwt_decode53(s, t);
612  break;
613  default:
614  return -1;
615  }
616  return 0;
617 }
618 
619 void ff_dwt_destroy(DWTContext *s)
620 {
621  av_freep(&s->f_linebuf);
622  av_freep(&s->i_linebuf);
623 }
sd_1d53
static void sd_1d53(int *p, int i0, int i1)
Definition: jpeg2000dwt.c:78
ff_dwt_decode
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Definition: jpeg2000dwt.c:598
AVERROR
Filter the word “frame” indicates either a video frame or a group of audio as stored in an AVFrame structure Format for each input and each output the list of supported formats For video that means pixel format For audio that means channel sample they are references to shared objects When the negotiation mechanism computes the intersection of the formats supported at each end of a all references to both lists are replaced with a reference to the intersection And when a single format is eventually chosen for a link amongst the remaining all references to the list are updated That means that if a filter requires that its input and output have the same format amongst a supported all it has to do is use a reference to the same list of formats query_formats can leave some formats unset and return AVERROR(EAGAIN) to cause the negotiation mechanism toagain later. That can be used by filters with complex requirements to use the format negotiated on one link to set the formats supported on another. Frame references ownership and permissions
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#define F_LFTG_ALPHA
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it s the only field you need to keep assuming you have a context There is some magic you don t need to care about around this just let it vf type
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#define I_LFTG_DELTA
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Initialize DWT.
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@ FF_DWT53
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h
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#define I_PRESHIFT
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int
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#define F_LFTG_BETA
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Definition: jpeg2000dwt.h:39
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