/* * Copyright (c) 2002-2007, Communications and Remote Sensing Laboratory, Universite catholique de Louvain (UCL), Belgium * Copyright (c) 2002-2007, Professor Benoit Macq * Copyright (c) 2001-2003, David Janssens * Copyright (c) 2002-2003, Yannick Verschueren * Copyright (c) 2003-2007, Francois-Olivier Devaux and Antonin Descampe * Copyright (c) 2005, Herve Drolon, FreeImage Team * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS' * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. */ #include "opj_includes.h" /** @defgroup DWT DWT - Implementation of a discrete wavelet transform */ /*@{*/ #define WS(i) v->mem[(i)*2] #define WD(i) v->mem[(1+(i)*2)] /** @name Local data structures */ /*@{*/ typedef struct dwt_local{ int * mem ; int dn ; int sn ; int cas ; } dwt_t ; /*@}*/ /** Virtual function type for wavelet transform in 1-D */ typedef void (*DWT1DFN)(dwt_t* v); /** @name Local static functions */ /*@{*/ /** Forward lazy transform (horizontal) */ static void dwt_deinterleave_h(int *a, int *b, int dn, int sn, int cas); /** Forward lazy transform (vertical) */ static void dwt_deinterleave_v(int *a, int *b, int dn, int sn, int x, int cas); /** Inverse lazy transform (horizontal) */ static void dwt_interleave_h(dwt_t* h, int *a); /** Inverse lazy transform (vertical) */ static void dwt_interleave_v(dwt_t* v, int *a, int x); /** Forward 5-3 wavelet transform in 1-D */ static void dwt_encode_1(int *a, int dn, int sn, int cas); /** Inverse 5-3 wavelet transform in 1-D */ static void dwt_decode_1(dwt_t *v); /** Forward 9-7 wavelet transform in 1-D */ static void dwt_encode_1_real(int *a, int dn, int sn, int cas); /** Inverse 9-7 wavelet transform in 1-D */ static void dwt_decode_1_real(dwt_t *v); /** FIXME : comment ??? */ static void dwt_encode_stepsize(int stepsize, int numbps, opj_stepsize_t *bandno_stepsize); /** Inverse wavelet transform in 2-D. */ static void dwt_decode_tile(opj_tcd_tilecomp_t * tilec, int stop , DWT1DFN fn); /*@}*/ /*@}*/ #define S(i) a[(i)*2] #define D(i) a[(1+(i)*2)] #define S_(i) ((i)<0?S(0):((i)>=sn?S(sn-1):S(i))) #define D_(i) ((i)<0?D(0):((i)>=dn?D(dn-1):D(i))) /* new */ #define SS_(i) ((i)<0?S(0):((i)>=dn?S(dn-1):S(i))) #define DD_(i) ((i)<0?D(0):((i)>=sn?D(sn-1):D(i))) /* */ /* This table contains the norms of the 5-3 wavelets for different bands. */ /* */ static const double dwt_norms[4][10] = { {1.000, 1.500, 2.750, 5.375, 10.68, 21.34, 42.67, 85.33, 170.7, 341.3}, {1.038, 1.592, 2.919, 5.703, 11.33, 22.64, 45.25, 90.48, 180.9}, {1.038, 1.592, 2.919, 5.703, 11.33, 22.64, 45.25, 90.48, 180.9}, {.7186, .9218, 1.586, 3.043, 6.019, 12.01, 24.00, 47.97, 95.93} }; /* */ /* This table contains the norms of the 9-7 wavelets for different bands. */ /* */ static const double dwt_norms_real[4][10] = { {1.000, 1.965, 4.177, 8.403, 16.90, 33.84, 67.69, 135.3, 270.6, 540.9}, {2.022, 3.989, 8.355, 17.04, 34.27, 68.63, 137.3, 274.6, 549.0}, {2.022, 3.989, 8.355, 17.04, 34.27, 68.63, 137.3, 274.6, 549.0}, {2.080, 3.865, 8.307, 17.18, 34.71, 69.59, 139.3, 278.6, 557.2} }; /* ========================================================== local functions ========================================================== */ /* */ /* Forward lazy transform (horizontal). */ /* */ static void dwt_deinterleave_h(int *a, int *b, int dn, int sn, int cas) { int i; for (i=0; i */ /* Forward lazy transform (vertical). */ /* */ static void dwt_deinterleave_v(int *a, int *b, int dn, int sn, int x, int cas) { int i; for (i=0; i */ /* Inverse lazy transform (horizontal). */ /* */ static void dwt_interleave_h(dwt_t* h, int *a) { int *ai = a; int *bi = h->mem + h->cas; int i = h->sn; while( i-- ) { *bi = *(ai++); bi += 2; } ai = a + h->sn; bi = h->mem + 1 - h->cas; i = h->dn ; while( i-- ) { *bi = *(ai++); bi += 2; } } /* */ /* Inverse lazy transform (vertical). */ /* */ static void dwt_interleave_v(dwt_t* v, int *a, int x) { int *ai = a; int *bi = v->mem + v->cas; int i = v->sn; while( i-- ) { *bi = *ai; bi += 2; ai += x; } ai = a + (v->sn * x); bi = v->mem + 1 - v->cas; i = v->dn ; while( i-- ) { *bi = *ai; bi += 2; ai += x; } } /* */ /* Forward 5-3 wavelet transform in 1-D. */ /* */ static void dwt_encode_1(int *a, int dn, int sn, int cas) { int i; if (!cas) { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < dn; i++) D(i) -= (S_(i) + S_(i + 1)) >> 1; for (i = 0; i < sn; i++) S(i) += (D_(i - 1) + D_(i) + 2) >> 2; } } else { if (!sn && dn == 1) /* NEW : CASE ONE ELEMENT */ S(0) *= 2; else { for (i = 0; i < dn; i++) S(i) -= (DD_(i) + DD_(i - 1)) >> 1; for (i = 0; i < sn; i++) D(i) += (SS_(i) + SS_(i + 1) + 2) >> 2; } } } /* */ /* Inverse 5-3 wavelet transform in 1-D. */ /* */ static void dwt_decode_1_(int *a, int dn, int sn, int cas) { int i; if (!cas) { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < sn; i++) S(i) -= (D_(i - 1) + D_(i) + 2) >> 2; for (i = 0; i < dn; i++) D(i) += (S_(i) + S_(i + 1)) >> 1; } } else { if (!sn && dn == 1) /* NEW : CASE ONE ELEMENT */ S(0) /= 2; else { for (i = 0; i < sn; i++) D(i) -= (SS_(i) + SS_(i + 1) + 2) >> 2; for (i = 0; i < dn; i++) S(i) += (DD_(i) + DD_(i - 1)) >> 1; } } } /* */ /* Inverse 5-3 wavelet transform in 1-D. */ /* */ static void dwt_decode_1(dwt_t *v) { dwt_decode_1_(v->mem, v->dn, v->sn, v->cas); } /* */ /* Forward 9-7 wavelet transform in 1-D. */ /* */ static void dwt_encode_1_real(int *a, int dn, int sn, int cas) { int i; if (!cas) { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < dn; i++) D(i) -= fix_mul(S_(i) + S_(i + 1), 12993); for (i = 0; i < sn; i++) S(i) -= fix_mul(D_(i - 1) + D_(i), 434); for (i = 0; i < dn; i++) D(i) += fix_mul(S_(i) + S_(i + 1), 7233); for (i = 0; i < sn; i++) S(i) += fix_mul(D_(i - 1) + D_(i), 3633); for (i = 0; i < dn; i++) D(i) = fix_mul(D(i), 5038); /*5038 */ for (i = 0; i < sn; i++) S(i) = fix_mul(S(i), 6659); /*6660 */ } } else { if ((sn > 0) || (dn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < dn; i++) S(i) -= fix_mul(DD_(i) + DD_(i - 1), 12993); for (i = 0; i < sn; i++) D(i) -= fix_mul(SS_(i) + SS_(i + 1), 434); for (i = 0; i < dn; i++) S(i) += fix_mul(DD_(i) + DD_(i - 1), 7233); for (i = 0; i < sn; i++) D(i) += fix_mul(SS_(i) + SS_(i + 1), 3633); for (i = 0; i < dn; i++) S(i) = fix_mul(S(i), 5038); /*5038 */ for (i = 0; i < sn; i++) D(i) = fix_mul(D(i), 6659); /*6660 */ } } } static void dwt_decode_sm(dwt_t* v, int k, int n, int x) { int m = k > n ? n : k; int l = v->mem[1]; //D(0); int j; int i; for (i = 0; i < m; i++) { j = l; WS(i) -= fix_mul( ( l = WD(i) ) + j , x); } if( i < k ) { l = fix_mul( l + l , x ); for (; i < k; i++) WS(i) -= l; } } static void dwt_decode_sp(dwt_t* v, int k, int n, int x) { int m = k > n ? n : k; int l = v->mem[1]; //D(0); int j; int i; for (i = 0; i < m; i++) { j = l; WS(i) += fix_mul( ( l = WD(i) ) + j , x); } if( i < k ) { l = fix_mul( l + l , x ); for (; i < k; i++) WS(i) += l; } } static void dwt_decode_dm(dwt_t* v, int k, int n, int x) { int m = k >= n ? n-1 : k; int l = v->mem[0]; //S(0); int i; int j; for (i = 0; i < m; i++) { j = l; WD(i) -= fix_mul( ( l = WS(i+1) ) + j , x); } if( i < k ) { l = fix_mul( l + l , x ); for (; i < k; i++) WD(i) -= l; } } static void dwt_decode_dp(dwt_t* v, int k, int n, int x) { int m = k >= n ? n-1 : k; int l = v->mem[0]; //S(0); int i; int j; for (i = 0; i < m; i++) { j = l; WD(i) += fix_mul( ( l = WS(i+1) ) + j , x); } if( i < k ) { l = fix_mul( l + l , x ); for (; i < k; i++) WD(i) += l; } } /* */ /* Inverse 9-7 wavelet transform in 1-D. */ /* */ static void dwt_decode_1_real(dwt_t* v) { int i; if (!v->cas) { if ((v->dn > 0) || (v->sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < v->sn; i++) WS(i) = fix_mul(WS(i), 10078); /* 10076 */ for (i = 0; i < v->dn; i++) WD(i) = fix_mul(WD(i), 13318); /* 13320 */ dwt_decode_sm(v, v->sn, v->dn, 3633); dwt_decode_dm(v, v->dn, v->sn, 7233); dwt_decode_sp(v, v->sn, v->dn, 434); dwt_decode_dp(v, v->dn, v->sn, 12994); } } else { if ((v->sn > 0) || (v->dn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < v->sn; i++) WD(i) = fix_mul(WD(i), 10078); /* 10076 */ for (i = 0; i < v->dn; i++) WS(i) = fix_mul(WS(i), 13318); /* 13320 */ dwt_decode_dm(v, v->sn, v->dn, 3633); dwt_decode_sm(v, v->dn, v->sn, 7233); dwt_decode_dp(v, v->sn, v->dn, 434); dwt_decode_sp(v, v->dn, v->sn, 12994); } } } static void dwt_encode_stepsize(int stepsize, int numbps, opj_stepsize_t *bandno_stepsize) { int p, n; p = int_floorlog2(stepsize) - 13; n = 11 - int_floorlog2(stepsize); bandno_stepsize->mant = (n < 0 ? stepsize >> -n : stepsize << n) & 0x7ff; bandno_stepsize->expn = numbps - p; } /* ========================================================== DWT interface ========================================================== */ /* */ /* Forward 5-3 wavelet transform in 2-D. */ /* */ void dwt_encode(opj_tcd_tilecomp_t * tilec) { int i, j, k; int *a = NULL; int *aj = NULL; int *bj = NULL; int w, l; w = tilec->x1-tilec->x0; l = tilec->numresolutions-1; a = tilec->data; for (i = 0; i < l; i++) { int rw; /* width of the resolution level computed */ int rh; /* height of the resolution level computed */ int rw1; /* width of the resolution level once lower than computed one */ int rh1; /* height of the resolution level once lower than computed one */ int cas_col; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */ int cas_row; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */ int dn, sn; rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0; rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0; rw1= tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0; rh1= tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0; cas_row = tilec->resolutions[l - i].x0 % 2; cas_col = tilec->resolutions[l - i].y0 % 2; sn = rh1; dn = rh - rh1; bj = (int*)opj_malloc(rh * sizeof(int)); for (j = 0; j < rw; j++) { aj = a + j; for (k = 0; k < rh; k++) bj[k] = aj[k*w]; dwt_encode_1(bj, dn, sn, cas_col); dwt_deinterleave_v(bj, aj, dn, sn, w, cas_col); } opj_free(bj); sn = rw1; dn = rw - rw1; bj = (int*)opj_malloc(rw * sizeof(int)); for (j = 0; j < rh; j++) { aj = a + j * w; for (k = 0; k < rw; k++) bj[k] = aj[k]; dwt_encode_1(bj, dn, sn, cas_row); dwt_deinterleave_h(bj, aj, dn, sn, cas_row); } opj_free(bj); } } /* */ /* Inverse 5-3 wavelet transform in 2-D. */ /* */ void dwt_decode(opj_tcd_tilecomp_t * tilec, int stop) { dwt_decode_tile(tilec, stop, &dwt_decode_1); } /* */ /* Get gain of 5-3 wavelet transform. */ /* */ int dwt_getgain(int orient) { if (orient == 0) return 0; if (orient == 1 || orient == 2) return 1; return 2; } /* */ /* Get norm of 5-3 wavelet. */ /* */ double dwt_getnorm(int level, int orient) { return dwt_norms[orient][level]; } /* */ /* Forward 9-7 wavelet transform in 2-D. */ /* */ void dwt_encode_real(opj_tcd_tilecomp_t * tilec) { int i, j, k; int *a = NULL; int *aj = NULL; int *bj = NULL; int w, l; w = tilec->x1-tilec->x0; l = tilec->numresolutions-1; a = tilec->data; for (i = 0; i < l; i++) { int rw; /* width of the resolution level computed */ int rh; /* height of the resolution level computed */ int rw1; /* width of the resolution level once lower than computed one */ int rh1; /* height of the resolution level once lower than computed one */ int cas_col; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */ int cas_row; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */ int dn, sn; rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0; rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0; rw1= tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0; rh1= tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0; cas_row = tilec->resolutions[l - i].x0 % 2; cas_col = tilec->resolutions[l - i].y0 % 2; sn = rh1; dn = rh - rh1; bj = (int*)opj_malloc(rh * sizeof(int)); for (j = 0; j < rw; j++) { aj = a + j; for (k = 0; k < rh; k++) bj[k] = aj[k*w]; dwt_encode_1_real(bj, dn, sn, cas_col); dwt_deinterleave_v(bj, aj, dn, sn, w, cas_col); } opj_free(bj); sn = rw1; dn = rw - rw1; bj = (int*)opj_malloc(rw * sizeof(int)); for (j = 0; j < rh; j++) { aj = a + j * w; for (k = 0; k < rw; k++) bj[k] = aj[k]; dwt_encode_1_real(bj, dn, sn, cas_row); dwt_deinterleave_h(bj, aj, dn, sn, cas_row); } opj_free(bj); } } /* */ /* Inverse 9-7 wavelet transform in 2-D. */ /* */ void dwt_decode_real(opj_tcd_tilecomp_t * tilec, int stop) { dwt_decode_tile(tilec, stop, dwt_decode_1_real); } /* */ /* Get gain of 9-7 wavelet transform. */ /* */ int dwt_getgain_real(int orient) { (void)orient; return 0; } /* */ /* Get norm of 9-7 wavelet. */ /* */ double dwt_getnorm_real(int level, int orient) { return dwt_norms_real[orient][level]; } void dwt_calc_explicit_stepsizes(opj_tccp_t * tccp, int prec) { int numbands, bandno; numbands = 3 * tccp->numresolutions - 2; for (bandno = 0; bandno < numbands; bandno++) { double stepsize; int resno, level, orient, gain; resno = (bandno == 0) ? 0 : ((bandno - 1) / 3 + 1); orient = (bandno == 0) ? 0 : ((bandno - 1) % 3 + 1); level = tccp->numresolutions - 1 - resno; gain = (tccp->qmfbid == 0) ? 0 : ((orient == 0) ? 0 : (((orient == 1) || (orient == 2)) ? 1 : 2)); if (tccp->qntsty == J2K_CCP_QNTSTY_NOQNT) { stepsize = 1.0; } else { double norm = dwt_norms_real[orient][level]; stepsize = (1 << (gain)) / norm; } dwt_encode_stepsize((int) floor(stepsize * 8192.0), prec + gain, &tccp->stepsizes[bandno]); } } /* */ /* Determine maximum computed resolution level for inverse wavelet transform */ /* */ static int dwt_decode_max_resolution(opj_tcd_resolution_t* r, int i) { int mr = 1; int w; while( --i ) { r++; if( mr < ( w = r->x1 - r->x0 ) ) mr = w ; if( mr < ( w = r->y1 - r->y0 ) ) mr = w ; } return mr ; } /* */ /* Inverse wavelet transform in 2-D. */ /* */ static void dwt_decode_tile(opj_tcd_tilecomp_t * tilec, int stop, DWT1DFN dwt_1D) { opj_tcd_resolution_t* tr; int i, j, k; int *a = NULL; int *aj = NULL; int w; //, l; int rw; /* width of the resolution level computed */ int rh; /* height of the resolution level computed */ dwt_t h; dwt_t v; if( 1 > ( i = tilec->numresolutions - stop ) ) return ; tr = tilec->resolutions; w = tilec->x1-tilec->x0; a = tilec->data; h.mem = (int*) opj_aligned_malloc(dwt_decode_max_resolution(tr, i) * sizeof(int)); v.mem = h.mem; rw = tr->x1 - tr->x0; rh = tr->y1 - tr->y0; while( --i ) { tr++; h.sn = rw; v.sn = rh; h.dn = ( rw = tr->x1 - tr->x0 ) - h.sn; v.dn = ( rh = tr->y1 - tr->y0 ) - v.sn; h.cas = tr->x0 % 2; v.cas = tr->y0 % 2; aj = a; j = rh; while( j-- ) { dwt_interleave_h(&h, aj); (dwt_1D)(&h); k = rw; while( k-- ) aj[k] = h.mem[k]; aj += w; } aj = a; j = rw; while( j-- ) { dwt_interleave_v(&v, aj, w); (dwt_1D)(&v); k = rh; while( k-- ) aj[k * w] = v.mem[k]; aj++; } } opj_aligned_free(h.mem); }