|
- /*
- * Discrete wavelet transform
- * Copyright (c) 2007 Kamil Nowosad
- * Copyright (c) 2013 Nicolas Bertrand <nicoinattendu@gmail.com>
- *
- * This file is part of FFmpeg.
- *
- * FFmpeg is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * FFmpeg is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with FFmpeg; if not, write to the Free Software
- * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
- */
-
- /**
- * @file
- * Discrete wavelet transform
- */
-
- #include "libavutil/avassert.h"
- #include "libavutil/common.h"
- #include "libavutil/mem.h"
- #include "jpeg2000dwt.h"
- #include "internal.h"
-
- /* Defines for 9/7 DWT lifting parameters.
- * Parameters are in float. */
- #define F_LFTG_ALPHA 1.586134342059924f
- #define F_LFTG_BETA 0.052980118572961f
- #define F_LFTG_GAMMA 0.882911075530934f
- #define F_LFTG_DELTA 0.443506852043971f
- #define F_LFTG_K 1.230174104914001f
- #define F_LFTG_X 1.625732422f
- /* FIXME: Why use 1.625732422 instead of 1/F_LFTG_K?
- * Incorrect value in JPEG2000 norm.
- * see (ISO/IEC 15444:1 (version 2002) F.3.8.2 */
-
- /* Lifting parameters in integer format.
- * Computed as param = (float param) * (1 << 16) */
- #define I_LFTG_ALPHA 103949
- #define I_LFTG_BETA 3472
- #define I_LFTG_GAMMA 57862
- #define I_LFTG_DELTA 29066
- #define I_LFTG_K 80621
- #define I_LFTG_X 106544
-
- static inline void extend53(int *p, int i0, int i1)
- {
- p[i0 - 1] = p[i0 + 1];
- p[i1] = p[i1 - 2];
- p[i0 - 2] = p[i0 + 2];
- p[i1 + 1] = p[i1 - 3];
- }
-
- static inline void extend97_float(float *p, int i0, int i1)
- {
- int i;
-
- for (i = 1; i <= 4; i++) {
- p[i0 - i] = p[i0 + i];
- p[i1 + i - 1] = p[i1 - i - 1];
- }
- }
-
- static inline void extend97_int(int32_t *p, int i0, int i1)
- {
- int i;
-
- for (i = 1; i <= 4; i++) {
- p[i0 - i] = p[i0 + i];
- p[i1 + i - 1] = p[i1 - i - 1];
- }
- }
-
- static void sd_1d53(int *p, int i0, int i1)
- {
- int i;
-
- if (i1 <= i0 + 1) {
- if (i0 == 1)
- p[1] <<= 1;
- return;
- }
-
- extend53(p, i0, i1);
-
- for (i = (i0+1)/2 - 1; i < (i1+1)/2; i++)
- p[2*i+1] -= (p[2*i] + p[2*i+2]) >> 1;
- for (i = (i0+1)/2; i < (i1+1)/2; i++)
- p[2*i] += (p[2*i-1] + p[2*i+1] + 2) >> 2;
- }
-
- static void dwt_encode53(DWTContext *s, int *t)
- {
- int lev,
- w = s->linelen[s->ndeclevels-1][0];
- int *line = s->i_linebuf;
- line += 3;
-
- for (lev = s->ndeclevels-1; lev >= 0; lev--){
- int lh = s->linelen[lev][0],
- lv = s->linelen[lev][1],
- mh = s->mod[lev][0],
- mv = s->mod[lev][1],
- lp;
- int *l;
-
- // VER_SD
- l = line + mv;
- for (lp = 0; lp < lh; lp++) {
- int i, j = 0;
-
- for (i = 0; i < lv; i++)
- l[i] = t[w*i + lp];
-
- sd_1d53(line, mv, mv + lv);
-
- // copy back and deinterleave
- for (i = mv; i < lv; i+=2, j++)
- t[w*j + lp] = l[i];
- for (i = 1-mv; i < lv; i+=2, j++)
- t[w*j + lp] = l[i];
- }
-
- // HOR_SD
- l = line + mh;
- for (lp = 0; lp < lv; lp++){
- int i, j = 0;
-
- for (i = 0; i < lh; i++)
- l[i] = t[w*lp + i];
-
- sd_1d53(line, mh, mh + lh);
-
- // copy back and deinterleave
- for (i = mh; i < lh; i+=2, j++)
- t[w*lp + j] = l[i];
- for (i = 1-mh; i < lh; i+=2, j++)
- t[w*lp + j] = l[i];
- }
- }
- }
- static void sd_1d97_float(float *p, int i0, int i1)
- {
- int i;
-
- if (i1 <= i0 + 1) {
- if (i0 == 1)
- p[1] *= F_LFTG_X;
- else
- p[0] *= F_LFTG_K;
- return;
- }
-
- extend97_float(p, i0, i1);
- i0++; i1++;
-
- for (i = i0/2 - 2; i < i1/2 + 1; i++)
- p[2*i+1] -= 1.586134 * (p[2*i] + p[2*i+2]);
- for (i = i0/2 - 1; i < i1/2 + 1; i++)
- p[2*i] -= 0.052980 * (p[2*i-1] + p[2*i+1]);
- for (i = i0/2 - 1; i < i1/2; i++)
- p[2*i+1] += 0.882911 * (p[2*i] + p[2*i+2]);
- for (i = i0/2; i < i1/2; i++)
- p[2*i] += 0.443506 * (p[2*i-1] + p[2*i+1]);
- }
-
- static void dwt_encode97_float(DWTContext *s, float *t)
- {
- int lev,
- w = s->linelen[s->ndeclevels-1][0];
- float *line = s->f_linebuf;
- line += 5;
-
- for (lev = s->ndeclevels-1; lev >= 0; lev--){
- int lh = s->linelen[lev][0],
- lv = s->linelen[lev][1],
- mh = s->mod[lev][0],
- mv = s->mod[lev][1],
- lp;
- float *l;
-
- av_assert1(!mh && !mv);
- // HOR_SD
- l = line + mh;
- for (lp = 0; lp < lv; lp++){
- int i, j = 0;
-
- for (i = 0; i < lh; i++)
- l[i] = t[w*lp + i];
-
- sd_1d97_float(line, mh, mh + lh);
-
- // copy back and deinterleave
- for (i = mh; i < lh; i+=2, j++)
- t[w*lp + j] = F_LFTG_X * l[i] / 2;
- for (i = 1-mh; i < lh; i+=2, j++)
- t[w*lp + j] = F_LFTG_K * l[i] / 2;
- }
-
- // VER_SD
- l = line + mv;
- for (lp = 0; lp < lh; lp++) {
- int i, j = 0;
-
- for (i = 0; i < lv; i++)
- l[i] = t[w*i + lp];
-
- sd_1d97_float(line, mv, mv + lv);
-
- // copy back and deinterleave
- for (i = mv; i < lv; i+=2, j++)
- t[w*j + lp] = F_LFTG_X * l[i] / 2;
- for (i = 1-mv; i < lv; i+=2, j++)
- t[w*j + lp] = F_LFTG_K * l[i] / 2;
- }
- }
- }
-
- static void sd_1d97_int(int *p, int i0, int i1)
- {
- int i;
-
- if (i1 <= i0 + 1) {
- if (i0 == 1)
- p[1] = (p[1] * I_LFTG_X + (1<<15)) >> 16;
- else
- p[0] = (p[0] * I_LFTG_K + (1<<15)) >> 16;
- return;
- }
-
- extend97_int(p, i0, i1);
- i0++; i1++;
-
- for (i = i0/2 - 2; i < i1/2 + 1; i++)
- p[2 * i + 1] -= (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
- for (i = i0/2 - 1; i < i1/2 + 1; i++)
- p[2 * i] -= (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
- for (i = i0/2 - 1; i < i1/2; i++)
- p[2 * i + 1] += (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
- for (i = i0/2; i < i1/2; i++)
- p[2 * i] += (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
- }
-
- static void dwt_encode97_int(DWTContext *s, int *t)
- {
- int lev,
- w = s->linelen[s->ndeclevels-1][0];
- int *line = s->i_linebuf;
- line += 5;
-
- for (lev = s->ndeclevels-1; lev >= 0; lev--){
- int lh = s->linelen[lev][0],
- lv = s->linelen[lev][1],
- mh = s->mod[lev][0],
- mv = s->mod[lev][1],
- lp;
- int *l;
-
- // VER_SD
- l = line + mv;
- for (lp = 0; lp < lh; lp++) {
- int i, j = 0;
-
- for (i = 0; i < lv; i++)
- l[i] = t[w*i + lp];
-
- sd_1d97_int(line, mv, mv + lv);
-
- // copy back and deinterleave
- for (i = mv; i < lv; i+=2, j++)
- t[w*j + lp] = ((l[i] * I_LFTG_X) + (1 << 16)) >> 17;
- for (i = 1-mv; i < lv; i+=2, j++)
- t[w*j + lp] = ((l[i] * I_LFTG_K) + (1 << 16)) >> 17;
- }
-
- // HOR_SD
- l = line + mh;
- for (lp = 0; lp < lv; lp++){
- int i, j = 0;
-
- for (i = 0; i < lh; i++)
- l[i] = t[w*lp + i];
-
- sd_1d97_int(line, mh, mh + lh);
-
- // copy back and deinterleave
- for (i = mh; i < lh; i+=2, j++)
- t[w*lp + j] = ((l[i] * I_LFTG_X) + (1 << 16)) >> 17;
- for (i = 1-mh; i < lh; i+=2, j++)
- t[w*lp + j] = ((l[i] * I_LFTG_K) + (1 << 16)) >> 17;
- }
-
- }
- }
-
- static void sr_1d53(int *p, int i0, int i1)
- {
- int i;
-
- if (i1 <= i0 + 1) {
- if (i0 == 1)
- p[1] >>= 1;
- return;
- }
-
- extend53(p, i0, i1);
-
- for (i = i0 / 2; i < i1 / 2 + 1; i++)
- p[2 * i] -= (p[2 * i - 1] + p[2 * i + 1] + 2) >> 2;
- for (i = i0 / 2; i < i1 / 2; i++)
- p[2 * i + 1] += (p[2 * i] + p[2 * i + 2]) >> 1;
- }
-
- static void dwt_decode53(DWTContext *s, int *t)
- {
- int lev;
- int w = s->linelen[s->ndeclevels - 1][0];
- int32_t *line = s->i_linebuf;
- line += 3;
-
- for (lev = 0; lev < s->ndeclevels; lev++) {
- int lh = s->linelen[lev][0],
- lv = s->linelen[lev][1],
- mh = s->mod[lev][0],
- mv = s->mod[lev][1],
- lp;
- int *l;
-
- // HOR_SD
- l = line + mh;
- for (lp = 0; lp < lv; lp++) {
- int i, j = 0;
- // copy with interleaving
- for (i = mh; i < lh; i += 2, j++)
- l[i] = t[w * lp + j];
- for (i = 1 - mh; i < lh; i += 2, j++)
- l[i] = t[w * lp + j];
-
- sr_1d53(line, mh, mh + lh);
-
- for (i = 0; i < lh; i++)
- t[w * lp + i] = l[i];
- }
-
- // VER_SD
- l = line + mv;
- for (lp = 0; lp < lh; lp++) {
- int i, j = 0;
- // copy with interleaving
- for (i = mv; i < lv; i += 2, j++)
- l[i] = t[w * j + lp];
- for (i = 1 - mv; i < lv; i += 2, j++)
- l[i] = t[w * j + lp];
-
- sr_1d53(line, mv, mv + lv);
-
- for (i = 0; i < lv; i++)
- t[w * i + lp] = l[i];
- }
- }
- }
-
- static void sr_1d97_float(float *p, int i0, int i1)
- {
- int i;
-
- if (i1 <= i0 + 1) {
- if (i0 == 1)
- p[1] *= F_LFTG_K/2;
- else
- p[0] *= F_LFTG_X/2;
- return;
- }
-
- extend97_float(p, i0, i1);
-
- for (i = i0 / 2 - 1; i < i1 / 2 + 2; i++)
- p[2 * i] -= F_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]);
- /* step 4 */
- for (i = i0 / 2 - 1; i < i1 / 2 + 1; i++)
- p[2 * i + 1] -= F_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]);
- /*step 5*/
- for (i = i0 / 2; i < i1 / 2 + 1; i++)
- p[2 * i] += F_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]);
- /* step 6 */
- for (i = i0 / 2; i < i1 / 2; i++)
- p[2 * i + 1] += F_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]);
- }
-
- static void dwt_decode97_float(DWTContext *s, float *t)
- {
- int lev;
- int w = s->linelen[s->ndeclevels - 1][0];
- float *line = s->f_linebuf;
- float *data = t;
- /* position at index O of line range [0-5,w+5] cf. extend function */
- line += 5;
-
- for (lev = 0; lev < s->ndeclevels; lev++) {
- int lh = s->linelen[lev][0],
- lv = s->linelen[lev][1],
- mh = s->mod[lev][0],
- mv = s->mod[lev][1],
- lp;
- float *l;
- // HOR_SD
- l = line + mh;
- for (lp = 0; lp < lv; lp++) {
- int i, j = 0;
- // copy with interleaving
- for (i = mh; i < lh; i += 2, j++)
- l[i] = data[w * lp + j] * F_LFTG_K;
- for (i = 1 - mh; i < lh; i += 2, j++)
- l[i] = data[w * lp + j] * F_LFTG_X;
-
- sr_1d97_float(line, mh, mh + lh);
-
- for (i = 0; i < lh; i++)
- data[w * lp + i] = l[i];
- }
-
- // VER_SD
- l = line + mv;
- for (lp = 0; lp < lh; lp++) {
- int i, j = 0;
- // copy with interleaving
- for (i = mv; i < lv; i += 2, j++)
- l[i] = data[w * j + lp] * F_LFTG_K;
- for (i = 1 - mv; i < lv; i += 2, j++)
- l[i] = data[w * j + lp] * F_LFTG_X;
-
- sr_1d97_float(line, mv, mv + lv);
-
- for (i = 0; i < lv; i++)
- data[w * i + lp] = l[i];
- }
- }
- }
-
- static void sr_1d97_int(int32_t *p, int i0, int i1)
- {
- int i;
-
- if (i1 <= i0 + 1) {
- if (i0 == 1)
- p[1] = (p[1] * I_LFTG_K + (1<<16)) >> 17;
- else
- p[0] = (p[0] * I_LFTG_X + (1<<16)) >> 17;
- return;
- }
-
- extend97_int(p, i0, i1);
-
- for (i = i0 / 2 - 1; i < i1 / 2 + 2; i++)
- p[2 * i] -= (I_LFTG_DELTA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
- /* step 4 */
- for (i = i0 / 2 - 1; i < i1 / 2 + 1; i++)
- p[2 * i + 1] -= (I_LFTG_GAMMA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
- /*step 5*/
- for (i = i0 / 2; i < i1 / 2 + 1; i++)
- p[2 * i] += (I_LFTG_BETA * (p[2 * i - 1] + p[2 * i + 1]) + (1 << 15)) >> 16;
- /* step 6 */
- for (i = i0 / 2; i < i1 / 2; i++)
- p[2 * i + 1] += (I_LFTG_ALPHA * (p[2 * i] + p[2 * i + 2]) + (1 << 15)) >> 16;
- }
-
- static void dwt_decode97_int(DWTContext *s, int32_t *t)
- {
- int lev;
- int w = s->linelen[s->ndeclevels - 1][0];
- int32_t *line = s->i_linebuf;
- int32_t *data = t;
- /* position at index O of line range [0-5,w+5] cf. extend function */
- line += 5;
-
- for (lev = 0; lev < s->ndeclevels; lev++) {
- int lh = s->linelen[lev][0],
- lv = s->linelen[lev][1],
- mh = s->mod[lev][0],
- mv = s->mod[lev][1],
- lp;
- int32_t *l;
- // HOR_SD
- l = line + mh;
- for (lp = 0; lp < lv; lp++) {
- int i, j = 0;
- // rescale with interleaving
- for (i = mh; i < lh; i += 2, j++)
- l[i] = ((data[w * lp + j] * I_LFTG_K) + (1 << 15)) >> 16;
- for (i = 1 - mh; i < lh; i += 2, j++)
- l[i] = ((data[w * lp + j] * I_LFTG_X) + (1 << 15)) >> 16;
-
- sr_1d97_int(line, mh, mh + lh);
-
- for (i = 0; i < lh; i++)
- data[w * lp + i] = l[i];
- }
-
- // VER_SD
- l = line + mv;
- for (lp = 0; lp < lh; lp++) {
- int i, j = 0;
- // rescale with interleaving
- for (i = mv; i < lv; i += 2, j++)
- l[i] = ((data[w * j + lp] * I_LFTG_K) + (1 << 15)) >> 16;
- for (i = 1 - mv; i < lv; i += 2, j++)
- l[i] = ((data[w * j + lp] * I_LFTG_X) + (1 << 15)) >> 16;
-
- sr_1d97_int(line, mv, mv + lv);
-
- for (i = 0; i < lv; i++)
- data[w * i + lp] = l[i];
- }
- }
- }
-
- int ff_jpeg2000_dwt_init(DWTContext *s, uint16_t border[2][2],
- int decomp_levels, int type)
- {
- int i, j, lev = decomp_levels, maxlen,
- b[2][2];
-
- s->ndeclevels = decomp_levels;
- s->type = type;
-
- for (i = 0; i < 2; i++)
- for (j = 0; j < 2; j++)
- b[i][j] = border[i][j];
-
- maxlen = FFMAX(b[0][1] - b[0][0],
- b[1][1] - b[1][0]);
- while (--lev >= 0)
- for (i = 0; i < 2; i++) {
- s->linelen[lev][i] = b[i][1] - b[i][0];
- s->mod[lev][i] = b[i][0] & 1;
- for (j = 0; j < 2; j++)
- b[i][j] = (b[i][j] + 1) >> 1;
- }
- switch (type) {
- case FF_DWT97:
- s->f_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->f_linebuf));
- if (!s->f_linebuf)
- return AVERROR(ENOMEM);
- break;
- case FF_DWT97_INT:
- s->i_linebuf = av_malloc_array((maxlen + 12), sizeof(*s->i_linebuf));
- if (!s->i_linebuf)
- return AVERROR(ENOMEM);
- break;
- case FF_DWT53:
- s->i_linebuf = av_malloc_array((maxlen + 6), sizeof(*s->i_linebuf));
- if (!s->i_linebuf)
- return AVERROR(ENOMEM);
- break;
- default:
- return -1;
- }
- return 0;
- }
-
- int ff_dwt_encode(DWTContext *s, void *t)
- {
- switch(s->type){
- case FF_DWT97:
- dwt_encode97_float(s, t); break;
- case FF_DWT97_INT:
- dwt_encode97_int(s, t); break;
- case FF_DWT53:
- dwt_encode53(s, t); break;
- default:
- return -1;
- }
- return 0;
- }
-
- int ff_dwt_decode(DWTContext *s, void *t)
- {
- switch (s->type) {
- case FF_DWT97:
- dwt_decode97_float(s, t);
- break;
- case FF_DWT97_INT:
- dwt_decode97_int(s, t);
- break;
- case FF_DWT53:
- dwt_decode53(s, t);
- break;
- default:
- return -1;
- }
- return 0;
- }
-
- void ff_dwt_destroy(DWTContext *s)
- {
- av_freep(&s->f_linebuf);
- av_freep(&s->i_linebuf);
- }
-
- #ifdef TEST
-
- #include "libavutil/lfg.h"
-
- #define MAX_W 256
-
- static int test_dwt(int *array, int *ref, uint16_t border[2][2], int decomp_levels, int type, int max_diff) {
- int ret, j;
- DWTContext s1={{{0}}}, *s= &s1;
-
- ret = ff_jpeg2000_dwt_init(s, border, decomp_levels, type);
- if (ret < 0) {
- fprintf(stderr, "ff_jpeg2000_dwt_init failed\n");
- return 1;
- }
- ret = ff_dwt_encode(s, array);
- if (ret < 0) {
- fprintf(stderr, "ff_dwt_encode failed\n");
- return 1;
- }
- ret = ff_dwt_decode(s, array);
- if (ret < 0) {
- fprintf(stderr, "ff_dwt_encode failed\n");
- return 1;
- }
- for (j = 0; j<MAX_W * MAX_W; j++) {
- if (FFABS(array[j] - ref[j]) > max_diff) {
- fprintf(stderr, "missmatch at %d (%d != %d) decomp:%d border %d %d %d %d\n",
- j, array[j], ref[j],decomp_levels, border[0][0], border[0][1], border[1][0], border[1][1]);
- return 2;
- }
- array[j] = ref[j];
- }
- ff_dwt_destroy(s);
-
- return 0;
- }
-
- int main(void) {
- int array[MAX_W * MAX_W];
- int ref [MAX_W * MAX_W];
- AVLFG prng;
- int i,j;
- uint16_t border[2][2];
- int ret, decomp_levels;
-
- av_lfg_init(&prng, 1);
-
- for (i = 0; i<MAX_W * MAX_W; i++)
- array[i] = ref[i] = av_lfg_get(&prng) % 2048;
-
- for (i = 0; i < 40; i++) {
- for (j=0; j<4; j++)
- border[j>>1][j&1] = av_lfg_get(&prng) % MAX_W;
- if (border[0][0] >= border[0][1] || border[1][0] >= border[1][1])
- continue;
- decomp_levels = av_lfg_get(&prng) % FF_DWT_MAX_DECLVLS;
-
- ret = test_dwt(array, ref, border, decomp_levels, FF_DWT53, 0);
- if (ret)
- return ret;
- ret = test_dwt(array, ref, border, decomp_levels, FF_DWT97_INT, FFMIN(7+5*decomp_levels, 15+3*decomp_levels));
- if (ret)
- return ret;
- }
-
- return 0;
- }
-
- #endif
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