mirdwt_r.c

/*
File Name: MIRDWT.c
Last Modification Date:	06/14/95	16:22:45
Current Version: MIRDWT.c	2.4
File Creation Date: Wed Oct 12 08:44:43 1994
Author: Markus Lang  <lang@jazz.rice.edu>

Copyright (c) 2000 RICE UNIVERSITY. All rights reserved.
Created by Markus Lang, Department of ECE, Rice University. 

This software is distributed and licensed to you on a non-exclusive 
basis, free-of-charge. Redistribution and use in source and binary forms, 
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   this list of conditions and the following disclaimer.
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   must display the following acknowledgment: This product includes 
   software developed by Rice University, Houston, Texas and its contributors.
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   may be used to endorse or promote products derived from this software 
   without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY WILLIAM MARSH RICE UNIVERSITY, HOUSTON, TEXAS, 
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Change History: Fixed the code such that 1D vectors passed to it can be in
                either passed as a row or column vector. Also took care of 
		the code such that it will compile with both under standard
		C compilers as well as for ANSI C compilers
		Jan Erik Odegard <odegard@ece.rice.edu> Wed Jun 14 1995

                Fix minor bug to allow maximum number of levels

MATLAB description:
%function x = mirdwt(yl,yh,h,L);
% 
% function computes the inverse redundant discrete wavelet transform y for a
% 1D or  2D input signal. redundant means here that the subsampling after
% each stage of the forward transform has been omitted. yl contains the
% lowpass and yl the highpass components as computed, e.g., by mrdwt. In
% case of a 2D signal the ordering in yh is [lh hl hh lh hl ... ] (first
% letter refers to row, second to column filtering).  
%
%    Input:
%       yl   : lowpass component
%       yh   : highpass components
%       h    : scaling filter
%       L    : number of levels. in case of a 1D signal length(yl) must be
%              divisible by 2^L; in case of a 2D signal the row and the
%              column dimension must be divisible by 2^L.
%   
%    Output:
%	x    : finite length 1D or 2D signal
%
% see also: mdwt, midwt, mrdwt

*/
#include <math.h>
#include <stdio.h>

#define max(a, b) ((a) > (b) ? (a) : (b))
#define mat(a, i, j) (*(a + (m*(j)+i)))  /* macro for matrix indices */

#ifdef __STDC__
MIRDWT(double *x, int m, int n, double *h, int lh, int L,
       double *yl, double *yh)
#else
MIRDWT(x, m, n, h, lh, L, yl, yh)
double *x, *h, *yl, *yh;
int m, n, lh, L;
#endif
{
  double  *g0, *g1, *ydummyll, *ydummylh, *ydummyhl;
  double *ydummyhh, *xdummyl , *xdummyh, *xh;
  long i, j;
  int actual_L, actual_m, actual_n, c_o_a, ir, n_c, n_cb, n_c_o, lhm1;
  int ic, n_r, n_rb, n_r_o, c_o_a_p2n, sample_f;
  xh = (double *)mxCalloc(m*n,sizeof(double));
  xdummyl = (double *)mxCalloc(max(m,n),sizeof(double));
  xdummyh = (double *)mxCalloc(max(m,n),sizeof(double));
  ydummyll = (double *)mxCalloc(max(m,n)+lh-1,sizeof(double));
  ydummylh = (double *)mxCalloc(max(m,n)+lh-1,sizeof(double));
  ydummyhl = (double *)mxCalloc(max(m,n)+lh-1,sizeof(double));
  ydummyhh = (double *)mxCalloc(max(m,n)+lh-1,sizeof(double));
  g0 = (double *)mxCalloc(lh,sizeof(double));
  g1 = (double *)mxCalloc(lh,sizeof(double));
  
  if (n==1){
    n = m;
    m = 1;
  }
  /* analysis lowpass and highpass */
  for (i=0; i<lh; i++){
    g0[i] = h[i]/2;
    g1[i] = h[lh-i-1]/2;
  }
  for (i=1; i<=lh; i+=2)
    g1[i] = -g1[i];
  
  lhm1 = lh - 1;
  /* 2^L */
  sample_f = 1;
  for (i=1; i<L; i++)
    sample_f = sample_f*2;
  actual_m = m/sample_f;
  actual_n = n/sample_f;
  /* restore yl in x */
  for (i=0;i<m*n;i++)
    x[i] = yl[i];
  
  /* main loop */
  for (actual_L=L; actual_L >= 1; actual_L--){
    /* actual (level dependent) column offset */
    if (m==1)
      c_o_a = n*(actual_L-1);
    else
      c_o_a = 3*n*(actual_L-1);
    c_o_a_p2n = c_o_a + 2*n;
    
    /* go by columns in case of a 2D signal*/
    if (m>1){
      n_rb = m/actual_m;                 /* # of row blocks per column */
      for (ic=0; ic<n; ic++){            /* loop over column */
	for (n_r=0; n_r<n_rb; n_r++){    /* loop within one column */
	  /* store in dummy variables */
	  ir = -sample_f + n_r;
	  for (i=0; i<actual_m; i++){    
	    ir = ir + sample_f;
	    ydummyll[i+lhm1] = mat(x, ir, ic);  
	    ydummylh[i+lhm1] = mat(yh, ir, c_o_a+ic);  
	    ydummyhl[i+lhm1] = mat(yh, ir,c_o_a+n+ic);  
	    ydummyhh[i+lhm1] = mat(yh, ir, c_o_a_p2n+ic);   
	  }
	  /* perform filtering and adding: first LL/LH, then HL/HH */
	  bpconv(xdummyl, actual_m, g0, g1, lh, ydummyll, ydummylh); 
	  bpconv(xdummyh, actual_m, g0, g1, lh, ydummyhl, ydummyhh); 
	  /* store dummy variables in matrices */
	  ir = -sample_f + n_r;
	  for (i=0; i<actual_m; i++){    
	    ir = ir + sample_f;
	    mat(x, ir, ic) = xdummyl[i];  
	    mat(xh, ir, ic) = xdummyh[i];  
	  }
	}
      }
    }
    
    /* go by rows */
    n_cb = n/actual_n;                 /* # of column blocks per row */
    for (ir=0; ir<m; ir++){            /* loop over rows */
      for (n_c=0; n_c<n_cb; n_c++){    /* loop within one row */      
	/* store in dummy variable */
	ic = -sample_f + n_c;
	for  (i=0; i<actual_n; i++){    
	  ic = ic + sample_f;
	  ydummyll[i+lhm1] = mat(x, ir, ic);  
	  if (m>1)
	    ydummyhh[i+lhm1] = mat(xh, ir, ic);  
	  else
	    ydummyhh[i+lhm1] = mat(yh, ir, c_o_a+ic);  
	} 
	/* perform filtering lowpass/highpass */
	bpconv(xdummyl, actual_n, g0, g1, lh, ydummyll, ydummyhh); 
	/* restore dummy variables in matrices */
	ic = -sample_f + n_c;
	for (i=0; i<actual_n; i++){    
	  ic = ic + sample_f;
	  mat(x, ir, ic) = xdummyl[i];  
	}
      }
    }
    sample_f = sample_f/2;
    actual_m = actual_m*2;
    actual_n = actual_n*2;
  }
}

#ifdef __STDC__
bpconv(double *x_out, int lx, double *g0, double *g1, int lh,
       double *x_inl, double *x_inh)
#else
bpconv(x_out, lx, g0, g1, lh, x_inl, x_inh)
double *x_inl, *x_inh, *g0, *g1, *x_out;
int lx, lh;
#endif
{
  int i, j;
  double x0;
 
  for (i=lh-2; i > -1; i--){
    x_inl[i] = x_inl[lx+i];
    x_inh[i] = x_inh[lx+i];
  }
  for (i=0; i<lx; i++){
    x0 = 0;
    for (j=0; j<lh; j++)
      x0 = x0 + x_inl[j+i]*g0[lh-1-j] +
	x_inh[j+i]*g1[lh-1-j];
    x_out[i] = x0;
  }
}