2 * Discrete wavelet transform
3 * Copyright (c) 2007 Kamil Nowosad
4 * Copyright (c) 2013 Nicolas Bertrand <nicoinattendu@gmail.com>
6 * This file is part of FFmpeg.
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.
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.
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
25 * Discrete wavelet transform
28 #include "libavutil/avassert.h"
29 #include "libavutil/common.h"
30 #include "libavutil/mem.h"
31 #include "jpeg2000dwt.h"
34 /* Defines for 9/7 DWT lifting parameters.
35 * Parameters are in float. */
36 #define F_LFTG_ALPHA 1.586134342059924f
37 #define F_LFTG_BETA 0.052980118572961f
38 #define F_LFTG_GAMMA 0.882911075530934f
39 #define F_LFTG_DELTA 0.443506852043971f
40 #define F_LFTG_K 1.230174104914001f
41 #define F_LFTG_X 1.625732422f
42 /* FIXME: Why use 1.625732422 instead of 1/F_LFTG_K?
43 * Incorrect value in JPEG2000 norm.
44 * see (ISO/IEC 15444:1 (version 2002) F.3.8.2 */
46 /* Lifting parameters in integer format.
47 * Computed as param = (float param) * (1 << 16) */
48 #define I_LFTG_ALPHA 103949
49 #define I_LFTG_BETA 3472
50 #define I_LFTG_GAMMA 57862
51 #define I_LFTG_DELTA 29066
52 #define I_LFTG_K 80621
53 #define I_LFTG_X 106544
55 static inline void extend53(int *p, int i0, int i1)
57 p[i0 - 1] = p[i0 + 1];
59 p[i0 - 2] = p[i0 + 2];
60 p[i1 + 1] = p[i1 - 3];
63 static inline void extend97_float(float *p, int i0, int i1)
67 for (i = 1; i <= 4; i++) {
68 p[i0 - i] = p[i0 + i];
69 p[i1 + i - 1] = p[i1 - i - 1];
73 static inline void extend97_int(int32_t *p, int i0, int i1)
77 for (i = 1; i <= 4; i++) {
78 p[i0 - i] = p[i0 + i];
79 p[i1 + i - 1] = p[i1 - i - 1];
83 static void sd_1d53(int *p, int i0, int i1)
92 for (i = (i0+1)/2 - 1; i < (i1+1)/2; i++)
93 p[2*i+1] -= (p[2*i] + p[2*i+2]) >> 1;
94 for (i = (i0+1)/2; i < (i1+1)/2; i++)
95 p[2*i] += (p[2*i-1] + p[2*i+1] + 2) >> 2;
98 static void dwt_encode53(DWTContext *s, int *t)
101 w = s->linelen[s->ndeclevels-1][0];
102 int *line = s->i_linebuf;
105 for (lev = s->ndeclevels-1; lev >= 0; lev--){
106 int lh = s->linelen[lev][0],
107 lv = s->linelen[lev][1],
113 av_assert1(!mh && !mv);
117 for (lp = 0; lp < lh; lp++) {
120 for (i = 0; i < lv; i++)
123 sd_1d53(line, mv, mv + lv);
125 // copy back and deinterleave
126 for (i = mv; i < lv; i+=2, j++)
128 for (i = 1-mv; i < lv; i+=2, j++)
134 for (lp = 0; lp < lv; lp++){
137 for (i = 0; i < lh; i++)
140 sd_1d53(line, mh, mh + lh);
142 // copy back and deinterleave
143 for (i = mh; i < lh; i+=2, j++)
145 for (i = 1-mh; i < lh; i+=2, j++)
150 static void sd_1d97_float(float *p, int i0, int i1)
162 extend97_float(p, i0, i1);
165 for (i = i0/2 - 2; i < i1/2 + 1; i++)
166 p[2*i+1] -= 1.586134 * (p[2*i] + p[2*i+2]);
167 for (i = i0/2 - 1; i < i1/2 + 1; i++)
168 p[2*i] -= 0.052980 * (p[2*i-1] + p[2*i+1]);
169 for (i = i0/2 - 1; i < i1/2; i++)
170 p[2*i+1] += 0.882911 * (p[2*i] + p[2*i+2]);
171 for (i = i0/2; i < i1/2; i++)
172 p[2*i] += 0.443506 * (p[2*i-1] + p[2*i+1]);
175 static void dwt_encode97_float(DWTContext *s, float *t)
178 w = s->linelen[s->ndeclevels-1][0];
179 float *line = s->f_linebuf;
182 for (lev = s->ndeclevels-1; lev >= 0; lev--){
183 int lh = s->linelen[lev][0],
184 lv = s->linelen[lev][1],
190 av_assert1(!mh && !mv);
193 for (lp = 0; lp < lv; lp++){
196 for (i = 0; i < lh; i++)
199 sd_1d97_float(line, mh, mh + lh);
201 // copy back and deinterleave
202 for (i = mh; i < lh; i+=2, j++)
203 t[w*lp + j] = F_LFTG_X * l[i] / 2;
204 for (i = 1-mh; i < lh; i+=2, j++)
205 t[w*lp + j] = F_LFTG_K * l[i] / 2;
210 for (lp = 0; lp < lh; lp++) {
213 for (i = 0; i < lv; i++)
216 sd_1d97_float(line, mv, mv + lv);
218 // copy back and deinterleave
219 for (i = mv; i < lv; i+=2, j++)
220 t[w*j + lp] = F_LFTG_X * l[i] / 2;
221 for (i = 1-mv; i < lv; i+=2, j++)
222 t[w*j + lp] = F_LFTG_K * l[i] / 2;
227 static void sd_1d97_int(int *p, int i0, int i1)
233 p[1] = (p[1] * I_LFTG_X + (1<<15)) >> 16;
235 p[0] = (p[0] * I_LFTG_K + (1<<15)) >> 16;
239 extend97_int(p, i0, i1);
242 for (i = i0/2 - 2; i < i1/2 + 1; i++)
243 p[2 * i + 1] -= (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
244 for (i = i0/2 - 1; i < i1/2 + 1; i++)
245 p[2 * i] -= (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
246 for (i = i0/2 - 1; i < i1/2; i++)
247 p[2 * i + 1] += (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
248 for (i = i0/2; i < i1/2; i++)
249 p[2 * i] += (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
252 static void dwt_encode97_int(DWTContext *s, int *t)
255 w = s->linelen[s->ndeclevels-1][0];
256 int *line = s->i_linebuf;
259 for (lev = s->ndeclevels-1; lev >= 0; lev--){
260 int lh = s->linelen[lev][0],
261 lv = s->linelen[lev][1],
267 av_assert1(!mh && !mv);
271 for (lp = 0; lp < lh; lp++) {
274 for (i = 0; i < lv; i++)
277 sd_1d97_int(line, mv, mv + lv);
279 // copy back and deinterleave
280 for (i = mv; i < lv; i+=2, j++)
281 t[w*j + lp] = ((l[i] * I_LFTG_X) + (1 << 16)) >> 17;
282 for (i = 1-mv; i < lv; i+=2, j++)
283 t[w*j + lp] = ((l[i] * I_LFTG_K) + (1 << 16)) >> 17;
288 for (lp = 0; lp < lv; lp++){
291 for (i = 0; i < lh; i++)
294 sd_1d97_int(line, mh, mh + lh);
296 // copy back and deinterleave
297 for (i = mh; i < lh; i+=2, j++)
298 t[w*lp + j] = ((l[i] * I_LFTG_X) + (1 << 16)) >> 17;
299 for (i = 1-mh; i < lh; i+=2, j++)
300 t[w*lp + j] = ((l[i] * I_LFTG_K) + (1 << 16)) >> 17;
306 static void sr_1d53(int *p, int i0, int i1)
318 for (i = i0 / 2; i < i1 / 2 + 1; i++)
319 p[2 * i] -= (p[2 * i - 1] + p[2 * i + 1] + 2) >> 2;
320 for (i = i0 / 2; i < i1 / 2; i++)
321 p[2 * i + 1] += (p[2 * i] + p[2 * i + 2]) >> 1;
324 static void dwt_decode53(DWTContext *s, int *t)
327 int w = s->linelen[s->ndeclevels - 1][0];
328 int32_t *line = s->i_linebuf;
331 for (lev = 0; lev < s->ndeclevels; lev++) {
332 int lh = s->linelen[lev][0],
333 lv = s->linelen[lev][1],
341 for (lp = 0; lp < lv; lp++) {
343 // copy with interleaving
344 for (i = mh; i < lh; i += 2, j++)
345 l[i] = t[w * lp + j];
346 for (i = 1 - mh; i < lh; i += 2, j++)
347 l[i] = t[w * lp + j];
349 sr_1d53(line, mh, mh + lh);
351 for (i = 0; i < lh; i++)
352 t[w * lp + i] = l[i];
357 for (lp = 0; lp < lh; lp++) {
359 // copy with interleaving
360 for (i = mv; i < lv; i += 2, j++)
361 l[i] = t[w * j + lp];
362 for (i = 1 - mv; i < lv; i += 2, j++)
363 l[i] = t[w * j + lp];
365 sr_1d53(line, mv, mv + lv);
367 for (i = 0; i < lv; i++)
368 t[w * i + lp] = l[i];
373 static void sr_1d97_float(float *p, int i0, int i1)
385 extend97_float(p, i0, i1);
387 for (i = i0 / 2 - 1; i < i1 / 2 + 2; i++)
388 p[2 * i] -= F_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]);
390 for (i = i0 / 2 - 1; i < i1 / 2 + 1; i++)
391 p[2 * i + 1] -= F_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]);
393 for (i = i0 / 2; i < i1 / 2 + 1; i++)
394 p[2 * i] += F_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]);
396 for (i = i0 / 2; i < i1 / 2; i++)
397 p[2 * i + 1] += F_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]);
400 static void dwt_decode97_float(DWTContext *s, float *t)
403 int w = s->linelen[s->ndeclevels - 1][0];
404 float *line = s->f_linebuf;
406 /* position at index O of line range [0-5,w+5] cf. extend function */
409 for (lev = 0; lev < s->ndeclevels; lev++) {
410 int lh = s->linelen[lev][0],
411 lv = s->linelen[lev][1],
418 for (lp = 0; lp < lv; lp++) {
420 // copy with interleaving
421 for (i = mh; i < lh; i += 2, j++)
422 l[i] = data[w * lp + j] * F_LFTG_K;
423 for (i = 1 - mh; i < lh; i += 2, j++)
424 l[i] = data[w * lp + j] * F_LFTG_X;
426 sr_1d97_float(line, mh, mh + lh);
428 for (i = 0; i < lh; i++)
429 data[w * lp + i] = l[i];
434 for (lp = 0; lp < lh; lp++) {
436 // copy with interleaving
437 for (i = mv; i < lv; i += 2, j++)
438 l[i] = data[w * j + lp] * F_LFTG_K;
439 for (i = 1 - mv; i < lv; i += 2, j++)
440 l[i] = data[w * j + lp] * F_LFTG_X;
442 sr_1d97_float(line, mv, mv + lv);
444 for (i = 0; i < lv; i++)
445 data[w * i + lp] = l[i];
450 static void sr_1d97_int(int32_t *p, int i0, int i1)
456 p[1] = (p[1] * I_LFTG_K + (1<<16)) >> 17;
458 p[0] = (p[0] * I_LFTG_X + (1<<16)) >> 17;
462 extend97_int(p, i0, i1);
464 for (i = i0 / 2 - 1; i < i1 / 2 + 2; i++)
465 p[2 * i] -= (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
467 for (i = i0 / 2 - 1; i < i1 / 2 + 1; i++)
468 p[2 * i + 1] -= (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
470 for (i = i0 / 2; i < i1 / 2 + 1; i++)
471 p[2 * i] += (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
473 for (i = i0 / 2; i < i1 / 2; i++)
474 p[2 * i + 1] += (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
477 static void dwt_decode97_int(DWTContext *s, int32_t *t)
480 int w = s->linelen[s->ndeclevels - 1][0];
481 int32_t *line = s->i_linebuf;
483 /* position at index O of line range [0-5,w+5] cf. extend function */
486 for (lev = 0; lev < s->ndeclevels; lev++) {
487 int lh = s->linelen[lev][0],
488 lv = s->linelen[lev][1],
495 for (lp = 0; lp < lv; lp++) {
497 // rescale with interleaving
498 for (i = mh; i < lh; i += 2, j++)
499 l[i] = ((data[w * lp + j] * I_LFTG_K) + (1 << 15)) >> 16;
500 for (i = 1 - mh; i < lh; i += 2, j++)
501 l[i] = ((data[w * lp + j] * I_LFTG_X) + (1 << 15)) >> 16;
503 sr_1d97_int(line, mh, mh + lh);
505 for (i = 0; i < lh; i++)
506 data[w * lp + i] = l[i];
511 for (lp = 0; lp < lh; lp++) {
513 // rescale with interleaving
514 for (i = mv; i < lv; i += 2, j++)
515 l[i] = ((data[w * j + lp] * I_LFTG_K) + (1 << 15)) >> 16;
516 for (i = 1 - mv; i < lv; i += 2, j++)
517 l[i] = ((data[w * j + lp] * I_LFTG_X) + (1 << 15)) >> 16;
519 sr_1d97_int(line, mv, mv + lv);
521 for (i = 0; i < lv; i++)
522 data[w * i + lp] = l[i];
527 int ff_jpeg2000_dwt_init(DWTContext *s, uint16_t border[2][2],
528 int decomp_levels, int type)
530 int i, j, lev = decomp_levels, maxlen,
533 s->ndeclevels = decomp_levels;
536 for (i = 0; i < 2; i++)
537 for (j = 0; j < 2; j++)
538 b[i][j] = border[i][j];
540 maxlen = FFMAX(b[0][1] - b[0][0],
543 for (i = 0; i < 2; i++) {
544 s->linelen[lev][i] = b[i][1] - b[i][0];
545 s->mod[lev][i] = b[i][0] & 1;
546 for (j = 0; j < 2; j++)
547 b[i][j] = (b[i][j] + 1) >> 1;
551 s->f_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->f_linebuf));
553 return AVERROR(ENOMEM);
556 s->i_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->i_linebuf));
558 return AVERROR(ENOMEM);
561 s->i_linebuf = av_malloc_array((maxlen + 6), sizeof(*s->i_linebuf));
563 return AVERROR(ENOMEM);
571 int ff_dwt_encode(DWTContext *s, void *t)
575 dwt_encode97_float(s, t); break;
577 dwt_encode97_int(s, t); break;
579 dwt_encode53(s, t); break;
586 int ff_dwt_decode(DWTContext *s, void *t)
590 dwt_decode97_float(s, t);
593 dwt_decode97_int(s, t);
604 void ff_dwt_destroy(DWTContext *s)
606 av_freep(&s->f_linebuf);
607 av_freep(&s->i_linebuf);
612 #include "libavutil/lfg.h"
617 int array[MAX_W * MAX_W];
618 int ref [MAX_W * MAX_W];
621 DWTContext s1={{{0}}}, *s= &s1;
622 uint16_t border[2][2];
623 int ret, decomp_levels;
625 av_lfg_init(&prng, 1);
627 for (i = 0; i<MAX_W * MAX_W; i++)
628 array[i] = ref[i] = av_lfg_get(&prng) % 2048;
630 for (i = 0; i < 40; i++) {
632 border[0][j] = av_lfg_get(&prng) % MAX_W;
633 border[0][0] = border [1][0] =0;
634 if (border[0][0] >= border[0][1] || border[1][0] >= border[1][1])
636 decomp_levels = av_lfg_get(&prng) % FF_DWT_MAX_DECLVLS;
637 ret = ff_jpeg2000_dwt_init(s, border, decomp_levels, FF_DWT53);
639 fprintf(stderr, "ff_jpeg2000_dwt_init failed\n");
642 ret = ff_dwt_encode(s, array);
644 fprintf(stderr, "ff_dwt_encode failed\n");
647 ret = ff_dwt_decode(s, array);
649 fprintf(stderr, "ff_dwt_encode failed\n");
652 for (j = 0; j<MAX_W * MAX_W; j++)
653 if (array[j] != ref[j]) {
654 fprintf(stderr, "missmatch at %d (%d != %d) decomp:%d border %d %d %d %d\n",
655 j, array[j], ref[j],decomp_levels, border[0][0], border[0][1], border[1][0], border[1][1]);