openjpeg/libopenjpeg/dwt.c

/*
 * Copyright (c) 2001-2002, David Janssens
 * Copyright (c) 2002-2004, Yannick Verschueren
 * Copyright (c) 2002-2004, Communications and remote sensing Laboratory, Universite catholique de Louvain, Belgium
 * 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 "dwt.h"
#include "int.h"
#include "fix.h"
#include "tcd.h"
#include <stdlib.h>
#include <stdio.h>
//#include <math.h>

#define S(i) a[x*(i)*2]
#define D(i) a[x*(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)))

/* <summary>                                                              */
/* This table contains the norms of the 5-3 wavelets for different bands. */
/* </summary>                                                             */
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}
};

/* <summary>                                                              */
/* This table contains the norms of the 9-7 wavelets for different bands. */
/* </summary>                                                             */
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}
};

/* Add Patrick */
static int *b = NULL;
static int lastSizeOfB = 0;

/* <summary>       */
/* Claning memory. */
/* </summary>      */

void dwt_clean()
{
  if (b != NULL) {
    free(b);
  }
  b = NULL;
  lastSizeOfB = 0;
}

/* \ Add Patrick */

/* <summary>               */
/* Forward lazy transform. */
/* </summary>              */
void dwt_deinterleave(int *a, int n, int x, int res, int cas)
{
  int dn, sn, i;
  sn = res;
  dn = n - res;
  if (lastSizeOfB != n) {
    if (b != NULL)
      free(b);
    b = (int *) malloc(n * sizeof(int));
    lastSizeOfB = n;
  }

  if (cas) {
    for (i = 0; i < sn; i++)
      b[i] = a[(2 * i + 1) * x];
    for (i = 0; i < dn; i++)
      b[sn + i] = a[2 * i * x];
  } else {
    for (i = 0; i < sn; i++)
      b[i] = a[2 * i * x];
    for (i = 0; i < dn; i++)
      b[sn + i] = a[(2 * i + 1) * x];
  }
  for (i = 0; i < n; i++)
    a[i * x] = b[i];
}

/* <summary>               */
/* Inverse lazy transform. */
/* </summary>              */
void dwt_interleave(int *a, int n, int x, int res, int cas)
{
  int dn, sn, i;
  sn = res;
  dn = n - res;

  if (lastSizeOfB != n) {
    if (b != NULL)
      free(b);
    b = (int *) malloc(n * sizeof(int));
    lastSizeOfB = n;
  }

  if (cas) {
    for (i = 0; i < sn; i++)
      b[2 * i + 1] = a[i * x];
    for (i = 0; i < dn; i++)
      b[2 * i] = a[(sn + i) * x];
  } else {
    for (i = 0; i < sn; i++)
      b[2 * i] = a[i * x];
    for (i = 0; i < dn; i++)
      b[2 * i + 1] = a[(sn + i) * x];
  }
  for (i = 0; i < n; i++)
    a[i * x] = b[i];
}

/* <summary>                            */
/* Forward 5-3 wavelet tranform in 1-D. */
/* </summary>                           */
void dwt_encode_1(int *a, int n, int x, int res, int cas)
{
  int dn, sn, i = 0;
  sn = res;
  dn = n - res;

  if (cas) {
    if (!sn && dn == 1)		/* NEW :  CASE ONE ELEMENT */
      S(i) *= 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;
    }
  } else {
    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;
    }
  }
  dwt_deinterleave(a, n, x, res, cas);
}

/* <summary>                            */
/* Inverse 5-3 wavelet tranform in 1-D. */
/* </summary>                           */
void dwt_decode_1(int *a, int n, int x, int res, int cas)
{
  int dn, sn, i = 0;
  sn = res;
  dn = n - res;

  dwt_interleave(a, n, x, res, cas);
  if (cas) {
    if (!sn && dn == 1)		/* NEW :  CASE ONE ELEMENT */
      S(i) /= 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;
    }
  } else {
    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;
    }
  }
}

/* <summary>                            */
/* Forward 5-3 wavelet tranform in 2-D. */
/* </summary>                           */
void dwt_encode(int *a, int w, int h, tcd_tilecomp_t * tilec, int l)
{
  int i, j;
  int rw;			/* width of the resolution level computed                                                           */
  int rh;			/* heigth 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                                      */

  for (i = 0; i < l; i++) {
    int cas_col = 0;		/* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
    int cas_row = 0;		/* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering   */
    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;

    for (j = 0; j < rw; j++)
      dwt_encode_1(a + j, rh, w, rh1, cas_col);
    for (j = 0; j < rh; j++)
      dwt_encode_1(a + j * w, rw, 1, rw1, cas_row);
  }

  dwt_clean();
}

/* <summary>                            */
/* Inverse 5-3 wavelet tranform in 2-D. */
/* </summary>                           */
void dwt_decode(int *a, int w, int h, tcd_tilecomp_t * tilec, int l,
		int stop)
{
  int i, j;
  int rw;			/* width of the resolution level computed                                                           */
  int rh;			/* heigth 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                                      */

  for (i = l - 1; i >= stop; i--) {
    int cas_col = 0;		/* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
    int cas_row = 0;		/* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering   */

    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;

    for (j = 0; j < rh; j++)
      dwt_decode_1(a + j * w, rw, 1, rw1, cas_row);
    for (j = 0; j < rw; j++)
      dwt_decode_1(a + j, rh, w, rh1, cas_col);
  }
  dwt_clean();
}

/* <summary>                          */
/* Get gain of 5-3 wavelet transform. */
/* </summary>                         */
int dwt_getgain(int orient)
{
  if (orient == 0)
    return 0;
  if (orient == 1 || orient == 2)
    return 1;
  return 2;
}

/* <summary>                */
/* Get norm of 5-3 wavelet. */
/* </summary>               */
double dwt_getnorm(int level, int orient)
{
  return dwt_norms[orient][level];
}

/* <summary>                             */
/* Forward 9-7 wavelet transform in 1-D. */
/* </summary>                            */
void dwt_encode_1_real(int *a, int n, int x, int res, int cas)
{
  int dn, sn, i = 0;
  dn = n - res;
  sn = res;

  if (cas) {
    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 */
    }
  } else {
    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 */
    }
  }
  dwt_deinterleave(a, n, x, res, cas);
}

/* <summary>                             */
/* Inverse 9-7 wavelet transform in 1-D. */
/* </summary>                            */
void dwt_decode_1_real(int *a, int n, int x, int res, int cas)
{
  int dn, sn, i = 0;
  dn = n - res;
  sn = res;
  dwt_interleave(a, n, x, res, cas);
  if (cas) {
    if ((sn > 0) || (dn > 1)) {	/* NEW :  CASE ONE ELEMENT */
      for (i = 0; i < sn; i++)
	D(i) = fix_mul(D(i), 10078);	/* 10076 */
      for (i = 0; i < dn; i++)
	S(i) = fix_mul(S(i), 13318);	/* 13320 */
      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(DD_(i) + DD_(i - 1), 7233);
      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), 12993);
    }
  } else {
    if ((dn > 0) || (sn > 1)) {	/* NEW :  CASE ONE ELEMENT */
      for (i = 0; i < sn; i++)
	S(i) = fix_mul(S(i), 10078);	/* 10076 */
      for (i = 0; i < dn; i++)
	D(i) = fix_mul(D(i), 13318);	/* 13320 */
      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(S_(i) + S_(i + 1), 7233);
      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), 12993);
    }
  }
}

/* <summary>                             */
/* Forward 9-7 wavelet transform in 2-D. */
/* </summary>                            */

void dwt_encode_real(int *a, int w, int h, tcd_tilecomp_t * tilec, int l)
{
  int i, j;
  int rw;			/* width of the resolution level computed                                                     */
  int rh;			/* heigth 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                                */

  for (i = 0; i < l; i++) {
    int cas_col = 0;		/* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
    int cas_row = 0;		/* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering   */
    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;

    for (j = 0; j < rw; j++)
      dwt_encode_1_real(a + j, rh, w, rh1, cas_col);
    for (j = 0; j < rh; j++)
      dwt_encode_1_real(a + j * w, rw, 1, rw1, cas_row);
  }
}

/* <summary>                             */
/* Inverse 9-7 wavelet transform in 2-D. */
/* </summary>                            */
void dwt_decode_real(int *a, int w, int h, tcd_tilecomp_t * tilec, int l,
		     int stop)
{
  int i, j;
  int rw;			/* width of the resolution level computed                                                           */
  int rh;			/* heigth 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                                      */

  for (i = l - 1; i >= stop; i--) {
    int cas_col = 0;		/* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
    int cas_row = 0;		/* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering   */

    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;

    for (j = 0; j < rh; j++)
      dwt_decode_1_real(a + j * w, rw, 1, rw1, cas_row);
    for (j = 0; j < rw; j++)
      dwt_decode_1_real(a + j, rh, w, rh1, cas_col);
  }
}

/* <summary>                          */
/* Get gain of 9-7 wavelet transform. */
/* </summary>                         */
int dwt_getgain_real(int orient)
{
  return 0;
}

/* <summary>                */
/* Get norm of 9-7 wavelet. */
/* </summary>               */
double dwt_getnorm_real(int level, int orient)
{
  return dwt_norms_real[orient][level];
}