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/common.h"
29 #include "libavutil/mem.h"
30 #include "jpeg2000dwt.h"
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 #define F_LFTG_K 1.230174104914001f
40 #define F_LFTG_X 1.625732422f
41 /* FIXME: Why use 1.625732422 instead of 1/F_LFTG_K?
42 * Incorrect value in JPEG2000 norm.
43 * see (ISO/IEC 15444:1 (version 2002) F.3.8.2 */
45 /* Lifting parameters in integer format.
46 * Computed as param = (float param) * (1 << 16) */
47 #define I_LFTG_ALPHA 103949
48 #define I_LFTG_BETA 3472
49 #define I_LFTG_GAMMA 57862
50 #define I_LFTG_DELTA 29066
51 #define I_LFTG_K 80621
52 #define I_LFTG_X 106544
54 static inline void extend53(int *p, int i0, int i1)
56 p[i0 - 1] = p[i0 + 1];
58 p[i0 - 2] = p[i0 + 2];
59 p[i1 + 1] = p[i1 - 3];
62 static inline void extend97_float(float *p, int i0, int i1)
66 for (i = 1; i <= 4; i++) {
67 p[i0 - i] = p[i0 + i];
68 p[i1 + i - 1] = p[i1 - i - 1];
72 static inline void extend97_int(int32_t *p, int i0, int i1)
76 for (i = 1; i <= 4; i++) {
77 p[i0 - i] = p[i0 + i];
78 p[i1 + i - 1] = p[i1 - i - 1];
82 static void sd_1d53(int *p, int i0, int i1)
91 for (i = (i0+1)/2 - 1; i < (i1+1)/2; i++)
92 p[2*i+1] -= (p[2*i] + p[2*i+2]) >> 1;
93 for (i = (i0+1)/2; i < (i1+1)/2; i++)
94 p[2*i] += (p[2*i-1] + p[2*i+1] + 2) >> 2;
97 static void dwt_encode53(DWTContext *s, int *t)
100 w = s->linelen[s->ndeclevels-1][0];
101 int *line = s->i_linebuf;
104 for (lev = s->ndeclevels-1; lev >= 0; lev--){
105 int lh = s->linelen[lev][0],
106 lv = s->linelen[lev][1],
114 for (lp = 0; lp < lv; lp++){
117 for (i = 0; i < lh; i++)
120 sd_1d53(line, mh, mh + lh);
122 // copy back and deinterleave
123 for (i = mh; i < lh; i+=2, j++)
125 for (i = 1-mh; i < lh; i+=2, j++)
131 for (lp = 0; lp < lh; lp++) {
134 for (i = 0; i < lv; i++)
137 sd_1d53(line, mv, mv + lv);
139 // copy back and deinterleave
140 for (i = mv; i < lv; i+=2, j++)
142 for (i = 1-mv; i < lv; i+=2, j++)
147 static void sd_1d97_float(float *p, int i0, int i1)
154 extend97_float(p, i0, i1);
157 for (i = i0/2 - 2; i < i1/2 + 1; i++)
158 p[2*i+1] -= 1.586134 * (p[2*i] + p[2*i+2]);
159 for (i = i0/2 - 1; i < i1/2 + 1; i++)
160 p[2*i] -= 0.052980 * (p[2*i-1] + p[2*i+1]);
161 for (i = i0/2 - 1; i < i1/2; i++)
162 p[2*i+1] += 0.882911 * (p[2*i] + p[2*i+2]);
163 for (i = i0/2; i < i1/2; i++)
164 p[2*i] += 0.443506 * (p[2*i-1] + p[2*i+1]);
167 static void dwt_encode97_float(DWTContext *s, float *t)
170 w = s->linelen[s->ndeclevels-1][0];
171 float *line = s->f_linebuf;
174 for (lev = s->ndeclevels-1; lev >= 0; lev--){
175 int lh = s->linelen[lev][0],
176 lv = s->linelen[lev][1],
184 for (lp = 0; lp < lv; lp++){
187 for (i = 0; i < lh; i++)
190 sd_1d97_float(line, mh, mh + lh);
192 // copy back and deinterleave
193 for (i = mh; i < lh; i+=2, j++)
194 t[w*lp + j] = F_LFTG_X * l[i] / 2;
195 for (i = 1-mh; i < lh; i+=2, j++)
196 t[w*lp + j] = F_LFTG_K * l[i] / 2;
201 for (lp = 0; lp < lh; lp++) {
204 for (i = 0; i < lv; i++)
207 sd_1d97_float(line, mv, mv + lv);
209 // copy back and deinterleave
210 for (i = mv; i < lv; i+=2, j++)
211 t[w*j + lp] = F_LFTG_X * l[i] / 2;
212 for (i = 1-mv; i < lv; i+=2, j++)
213 t[w*j + lp] = F_LFTG_K * l[i] / 2;
218 static void sd_1d97_int(int *p, int i0, int i1)
225 extend97_int(p, i0, i1);
228 for (i = i0/2 - 2; i < i1/2 + 1; i++)
229 p[2 * i + 1] -= (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
230 for (i = i0/2 - 1; i < i1/2 + 1; i++)
231 p[2 * i] -= (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
232 for (i = i0/2 - 1; i < i1/2; i++)
233 p[2 * i + 1] += (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
234 for (i = i0/2; i < i1/2; i++)
235 p[2 * i] += (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
238 static void dwt_encode97_int(DWTContext *s, int *t)
241 w = s->linelen[s->ndeclevels-1][0];
242 int *line = s->i_linebuf;
245 for (lev = s->ndeclevels-1; lev >= 0; lev--){
246 int lh = s->linelen[lev][0],
247 lv = s->linelen[lev][1],
255 for (lp = 0; lp < lv; lp++){
258 for (i = 0; i < lh; i++)
261 sd_1d97_int(line, mh, mh + lh);
263 // copy back and deinterleave
264 for (i = mh; i < lh; i+=2, j++)
265 t[w*lp + j] = ((l[i] * I_LFTG_X) + (1 << 16)) >> 17;
266 for (i = 1-mh; i < lh; i+=2, j++)
267 t[w*lp + j] = ((l[i] * I_LFTG_K) + (1 << 16)) >> 17;
272 for (lp = 0; lp < lh; lp++) {
275 for (i = 0; i < lv; i++)
278 sd_1d97_int(line, mv, mv + lv);
280 // copy back and deinterleave
281 for (i = mv; i < lv; i+=2, j++)
282 t[w*j + lp] = ((l[i] * I_LFTG_X) + (1 << 16)) >> 17;
283 for (i = 1-mv; i < lv; i+=2, j++)
284 t[w*j + lp] = ((l[i] * I_LFTG_K) + (1 << 16)) >> 17;
289 static void sr_1d53(int *p, int i0, int i1)
298 for (i = i0 / 2; i < i1 / 2 + 1; i++)
299 p[2 * i] -= (p[2 * i - 1] + p[2 * i + 1] + 2) >> 2;
300 for (i = i0 / 2; i < i1 / 2; i++)
301 p[2 * i + 1] += (p[2 * i] + p[2 * i + 2]) >> 1;
304 static void dwt_decode53(DWTContext *s, int *t)
307 int w = s->linelen[s->ndeclevels - 1][0];
308 int32_t *line = s->i_linebuf;
311 for (lev = 0; lev < s->ndeclevels; lev++) {
312 int lh = s->linelen[lev][0],
313 lv = s->linelen[lev][1],
321 for (lp = 0; lp < lv; lp++) {
323 // copy with interleaving
324 for (i = mh; i < lh; i += 2, j++)
325 l[i] = t[w * lp + j];
326 for (i = 1 - mh; i < lh; i += 2, j++)
327 l[i] = t[w * lp + j];
329 sr_1d53(line, mh, mh + lh);
331 for (i = 0; i < lh; i++)
332 t[w * lp + i] = l[i];
337 for (lp = 0; lp < lh; lp++) {
339 // copy with interleaving
340 for (i = mv; i < lv; i += 2, j++)
341 l[i] = t[w * j + lp];
342 for (i = 1 - mv; i < lv; i += 2, j++)
343 l[i] = t[w * j + lp];
345 sr_1d53(line, mv, mv + lv);
347 for (i = 0; i < lv; i++)
348 t[w * i + lp] = l[i];
353 static void sr_1d97_float(float *p, int i0, int i1)
360 extend97_float(p, i0, i1);
362 for (i = i0 / 2 - 1; i < i1 / 2 + 2; i++)
363 p[2 * i] -= F_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]);
365 for (i = i0 / 2 - 1; i < i1 / 2 + 1; i++)
366 p[2 * i + 1] -= F_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]);
368 for (i = i0 / 2; i < i1 / 2 + 1; i++)
369 p[2 * i] += F_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]);
371 for (i = i0 / 2; i < i1 / 2; i++)
372 p[2 * i + 1] += F_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]);
375 static void dwt_decode97_float(DWTContext *s, float *t)
378 int w = s->linelen[s->ndeclevels - 1][0];
379 float *line = s->f_linebuf;
381 /* position at index O of line range [0-5,w+5] cf. extend function */
384 for (lev = 0; lev < s->ndeclevels; lev++) {
385 int lh = s->linelen[lev][0],
386 lv = s->linelen[lev][1],
393 for (lp = 0; lp < lv; lp++) {
395 // copy with interleaving
396 for (i = mh; i < lh; i += 2, j++)
397 l[i] = data[w * lp + j] * F_LFTG_K;
398 for (i = 1 - mh; i < lh; i += 2, j++)
399 l[i] = data[w * lp + j] * F_LFTG_X;
401 sr_1d97_float(line, mh, mh + lh);
403 for (i = 0; i < lh; i++)
404 data[w * lp + i] = l[i];
409 for (lp = 0; lp < lh; lp++) {
411 // copy with interleaving
412 for (i = mv; i < lv; i += 2, j++)
413 l[i] = data[w * j + lp] * F_LFTG_K;
414 for (i = 1 - mv; i < lv; i += 2, j++)
415 l[i] = data[w * j + lp] * F_LFTG_X;
417 sr_1d97_float(line, mv, mv + lv);
419 for (i = 0; i < lv; i++)
420 data[w * i + lp] = l[i];
425 static void sr_1d97_int(int32_t *p, int i0, int i1)
432 extend97_int(p, i0, i1);
434 for (i = i0 / 2 - 1; i < i1 / 2 + 2; i++)
435 p[2 * i] -= (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
437 for (i = i0 / 2 - 1; i < i1 / 2 + 1; i++)
438 p[2 * i + 1] -= (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
440 for (i = i0 / 2; i < i1 / 2 + 1; i++)
441 p[2 * i] += (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
443 for (i = i0 / 2; i < i1 / 2; i++)
444 p[2 * i + 1] += (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
447 static void dwt_decode97_int(DWTContext *s, int32_t *t)
450 int w = s->linelen[s->ndeclevels - 1][0];
451 int32_t *line = s->i_linebuf;
453 /* position at index O of line range [0-5,w+5] cf. extend function */
456 for (lev = 0; lev < s->ndeclevels; lev++) {
457 int lh = s->linelen[lev][0],
458 lv = s->linelen[lev][1],
465 for (lp = 0; lp < lv; lp++) {
467 // rescale with interleaving
468 for (i = mh; i < lh; i += 2, j++)
469 l[i] = ((data[w * lp + j] * I_LFTG_K) + (1 << 15)) >> 16;
470 for (i = 1 - mh; i < lh; i += 2, j++)
471 l[i] = ((data[w * lp + j] * I_LFTG_X) + (1 << 15)) >> 16;
473 sr_1d97_int(line, mh, mh + lh);
475 for (i = 0; i < lh; i++)
476 data[w * lp + i] = l[i];
481 for (lp = 0; lp < lh; lp++) {
483 // rescale with interleaving
484 for (i = mv; i < lv; i += 2, j++)
485 l[i] = ((data[w * j + lp] * I_LFTG_K) + (1 << 15)) >> 16;
486 for (i = 1 - mv; i < lv; i += 2, j++)
487 l[i] = ((data[w * j + lp] * I_LFTG_X) + (1 << 15)) >> 16;
489 sr_1d97_int(line, mv, mv + lv);
491 for (i = 0; i < lv; i++)
492 data[w * i + lp] = l[i];
497 int ff_jpeg2000_dwt_init(DWTContext *s, uint16_t border[2][2],
498 int decomp_levels, int type)
500 int i, j, lev = decomp_levels, maxlen,
503 s->ndeclevels = decomp_levels;
506 for (i = 0; i < 2; i++)
507 for (j = 0; j < 2; j++)
508 b[i][j] = border[i][j];
510 maxlen = FFMAX(b[0][1] - b[0][0],
513 for (i = 0; i < 2; i++) {
514 s->linelen[lev][i] = b[i][1] - b[i][0];
515 s->mod[lev][i] = b[i][0] & 1;
516 for (j = 0; j < 2; j++)
517 b[i][j] = (b[i][j] + 1) >> 1;
521 s->f_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->f_linebuf));
523 return AVERROR(ENOMEM);
526 s->i_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->i_linebuf));
528 return AVERROR(ENOMEM);
531 s->i_linebuf = av_malloc_array((maxlen + 6), sizeof(*s->i_linebuf));
533 return AVERROR(ENOMEM);
541 int ff_dwt_encode(DWTContext *s, void *t)
545 dwt_encode97_float(s, t); break;
547 dwt_encode97_int(s, t); break;
549 dwt_encode53(s, t); break;
556 int ff_dwt_decode(DWTContext *s, void *t)
560 dwt_decode97_float(s, t);
563 dwt_decode97_int(s, t);
574 void ff_dwt_destroy(DWTContext *s)
576 av_freep(&s->f_linebuf);
577 av_freep(&s->i_linebuf);