ivan@78: /*
ivan@78: File Name: midwt.c
ivan@78: Last Modification Date:	06/14/95	12:55:58
ivan@78: Current Version: midwt.c	1.4
ivan@78: File Creation Date: Wed Oct 12 08:44:43 1994
ivan@78: Author: Markus Lang  <lang@jazz.rice.edu>
ivan@78: 
ivan@78: Copyright: All software, documentation, and related files in this distribution
ivan@78:            are Copyright (c) 1994  Rice University
ivan@78: 
ivan@78: Permission is granted for use and non-profit distribution providing that this
ivan@78: notice be clearly maintained. The right to distribute any portion for profit
ivan@78: or as part of any commercial product is specifically reserved for the author.
ivan@78: 
ivan@78: Change History: Fixed code such that the result has the same dimension as the 
ivan@78:                 input for 1D problems. Also, added some standard error checking.
ivan@78: 		Jan Erik Odegard <odegard@ece.rice.edu> Wed Jun 14 1995
ivan@78: 
ivan@78: */
ivan@78: #include <math.h>
ivan@78: /*#include <malloc.h>*/
ivan@78: #include <stdio.h>
ivan@78: #include "mex.h"
ivan@78: #include "matrix.h"
ivan@78: #if !defined(_WIN32) && !defined(_WIN64)
ivan@78: #include <inttypes.h>
ivan@78: #endif
ivan@78: #define max(A,B) (A > B ? A : B)
ivan@78: #define min(A,B) (A < B ? A : B)
ivan@78: #define even(x)  ((x & 1) ? 0 : 1)
ivan@78: #define isint(x) ((x - floor(x)) > 0.0 ? 0 : 1)
ivan@78: 
ivan@78: 
ivan@78: 
ivan@78: void mexFunction(int nlhs,mxArray *plhs[],int nrhs,const mxArray *prhs[])
ivan@78: 
ivan@78: {
ivan@78:   double *x, *h,  *y, *Lf, *Lr;
ivan@78:   intptr_t m, n, h_col, h_row, lh, L, i, po2, j;
ivan@78:   double mtest, ntest;
ivan@78: 
ivan@78:   /* check for correct # of input variables */
ivan@78:   if (nrhs>3){
ivan@78:     mexErrMsgTxt("There are at most 3 input parameters allowed!");
ivan@78:     return;
ivan@78:   }
ivan@78:   if (nrhs<2){
ivan@78:     mexErrMsgTxt("There are at least 2 input parameters required!");
ivan@78:     return;
ivan@78:   }
ivan@78:   y = mxGetPr(prhs[0]);
ivan@78:   n = mxGetN(prhs[0]); 
ivan@78:   m = mxGetM(prhs[0]); 
ivan@78:   h = mxGetPr(prhs[1]);
ivan@78:   h_col = mxGetN(prhs[1]); 
ivan@78:   h_row = mxGetM(prhs[1]); 
ivan@78:   if (h_col>h_row)
ivan@78:     lh = h_col;
ivan@78:   else  
ivan@78:     lh = h_row;
ivan@78:   if (nrhs == 3){
ivan@78:     L = (intptr_t) *mxGetPr(prhs[2]);
ivan@78:     if (L < 0)
ivan@78:       mexErrMsgTxt("The number of levels, L, must be a non-negative integer");
ivan@78:   }
ivan@78:   else /* Estimate L */ {
ivan@78:     i=n;j=0;
ivan@78:     while (even(i)){
ivan@78:       i=(i>>1);
ivan@78:       j++;
ivan@78:     }
ivan@78:     L=m;i=0;
ivan@78:     while (even(L)){
ivan@78:       L=(L>>1);
ivan@78:       i++;
ivan@78:     }
ivan@78:     if(min(m,n) == 1)
ivan@78:       L = max(i,j);
ivan@78:     else
ivan@78:       L = min(i,j);
ivan@78:     if (L==0){
ivan@78:       mexErrMsgTxt("Maximum number of levels is zero; no decomposition can be performed!");
ivan@78:       return;
ivan@78:     }
ivan@78:   }
ivan@78:   /* Check the ROW dimension of input */
ivan@78:   if(m > 1){
ivan@78:     mtest = (double) m/pow(2.0, (double) L);
ivan@78:     if (!isint(mtest))
ivan@78:       mexErrMsgTxt("The matrix row dimension must be of size m*2^(L)");
ivan@78:   }
ivan@78:   /* Check the COLUMN dimension of input */
ivan@78:   if(n > 1){
ivan@78:     ntest = (double) n/pow(2.0, (double) L);
ivan@78:     if (!isint(ntest))
ivan@78:       mexErrMsgTxt("The matrix column dimension must be of size n*2^(L)");
ivan@78:   }
ivan@78:   plhs[0] = mxCreateDoubleMatrix(m,n,mxREAL);
ivan@78:   x = mxGetPr(plhs[0]);
ivan@78:   plhs[1] = mxCreateDoubleMatrix(1,1,mxREAL);
ivan@78:   Lr = mxGetPr(plhs[1]);
ivan@78:   *Lr = L;
ivan@78:   MIDWT(x, m, n, h, lh, L, y);
ivan@78: }
ivan@78: 
ivan@78: #define mat(a, i, j) (*(a + (m*(j)+i)))  /* macro for matrix indices */
ivan@78: 
ivan@78: 
ivan@78: #ifdef __STDC__
ivan@78: MIDWT(double *x, intptr_t m, intptr_t n, double *h, intptr_t lh, intptr_t L, double *y)
ivan@78: #else
ivan@78: MIDWT(x, m, n, h, lh, L, y)
ivan@78: double *x, *h, *y;
ivan@78: intptr_t m, n, lh, L;
ivan@78: #endif
ivan@78: {
ivan@78:   double  *g0, *g1, *ydummyl, *ydummyh, *xdummy;
ivan@78:   intptr_t i, j;
ivan@78:   intptr_t actual_L, actual_m, actual_n, r_o_a, c_o_a, ir, ic, lhm1, lhhm1, sample_f;
ivan@78:   xdummy = (double *)mxCalloc(max(m,n),sizeof(double));
ivan@78:   ydummyl = (double *)mxCalloc(max(m,n)+lh/2-1,sizeof(double));
ivan@78:   ydummyh = (double *)(intptr_t)mxCalloc(max(m,n)+lh/2-1,sizeof(double));
ivan@78:   g0 = (double *)(intptr_t)mxCalloc(lh,sizeof(double));
ivan@78:   g1 = (double *)(intptr_t)mxCalloc(lh,sizeof(double));
ivan@78: 
ivan@78:   if (n==1){
ivan@78:     n = m;
ivan@78:     m = 1;
ivan@78:   }
ivan@78:   /* synthesis lowpass and highpass */
ivan@78:   for (i=0; i<lh; i++){
ivan@78:     g0[i] = h[i];
ivan@78:     g1[i] = h[lh-i-1];
ivan@78:   }
ivan@78:   for (i=1; i<=lh; i+=2)
ivan@78:     g1[i] = -g1[i];
ivan@78:   
ivan@78:   lhm1 = lh - 1;
ivan@78:   lhhm1 = lh/2 - 1;
ivan@78:   /* 2^L */
ivan@78:   sample_f = 1;
ivan@78:   for (i=1; i<L; i++)
ivan@78:     sample_f = sample_f*2;
ivan@78:   
ivan@78:   if (m>1)
ivan@78:     actual_m = m/sample_f;
ivan@78:   else 
ivan@78:     actual_m = 1;
ivan@78:   actual_n = n/sample_f;
ivan@78: 
ivan@78:   for (i=0; i<(m*n); i++)
ivan@78:     x[i] = y[i];
ivan@78:   
ivan@78:   /* main loop */
ivan@78:   for (actual_L=L; actual_L >= 1; actual_L--){
ivan@78:     r_o_a = actual_m/2;
ivan@78:     c_o_a = actual_n/2;
ivan@78:     
ivan@78:     /* go by columns in case of a 2D signal*/
ivan@78:     if (m>1){
ivan@78:       for (ic=0; ic<actual_n; ic++){            /* loop over column */
ivan@78: 	/* store in dummy variables */
ivan@78: 	ir = r_o_a;
ivan@78: 	for (i=0; i<r_o_a; i++){    
ivan@78: 	  ydummyl[i+lhhm1] = mat(x, i, ic);  
ivan@78: 	  ydummyh[i+lhhm1] = mat(x, ir++, ic);  
ivan@78: 	}
ivan@78: 	/* perform filtering lowpass and highpass*/
ivan@78: 	bpsconv(xdummy, r_o_a, g0, g1, lhm1, lhhm1, ydummyl, ydummyh); 
ivan@78: 	/* restore dummy variables in matrix */
ivan@78: 	for (i=0; i<actual_m; i++)
ivan@78: 	  mat(x, i, ic) = xdummy[i];  
ivan@78:       }
ivan@78:     }
ivan@78:     /* go by rows */
ivan@78:     for (ir=0; ir<actual_m; ir++){            /* loop over rows */
ivan@78:       /* store in dummy variable */
ivan@78:       ic = c_o_a;
ivan@78:       for  (i=0; i<c_o_a; i++){    
ivan@78: 	ydummyl[i+lhhm1] = mat(x, ir, i);  
ivan@78: 	ydummyh[i+lhhm1] = mat(x, ir, ic++);  
ivan@78:       } 
ivan@78:       /* perform filtering lowpass and highpass*/
ivan@78:       bpsconv(xdummy, c_o_a, g0, g1, lhm1, lhhm1, ydummyl, ydummyh); 
ivan@78:       /* restore dummy variables in matrices */
ivan@78:       for (i=0; i<actual_n; i++)
ivan@78:         mat(x, ir, i) = xdummy[i];  
ivan@78:     }  
ivan@78:     if (m==1)
ivan@78:       actual_m = 1;
ivan@78:     else
ivan@78:       actual_m = actual_m*2;
ivan@78:     actual_n = actual_n*2;
ivan@78:   }
ivan@78: }
ivan@78: 
ivan@78: #ifdef __STDC__
ivan@78: bpsconv(double *x_out, intptr_t lx, double *g0, double *g1, intptr_t lhm1, 
ivan@78: 	intptr_t lhhm1, double *x_inl, double *x_inh)
ivan@78: #else
ivan@78: bpsconv(x_out, lx, g0, g1, lhm1, lhhm1, x_inl, x_inh)
ivan@78: double *x_inl, *x_inh, *g0, *g1, *x_out;
ivan@78: intptr_t lx, lhm1, lhhm1;
ivan@78: #endif
ivan@78: {
ivan@78:   intptr_t i, j, ind, tj;
ivan@78:   double x0, x1;
ivan@78: 
ivan@78:   for (i=lhhm1-1; i > -1; i--){
ivan@78:     x_inl[i] = x_inl[lx+i];
ivan@78:     x_inh[i] = x_inh[lx+i];
ivan@78:   }
ivan@78:   ind = 0;
ivan@78:   for (i=0; i<(lx); i++){
ivan@78:     x0 = 0;
ivan@78:     x1 = 0;
ivan@78:     tj = -2;
ivan@78:     for (j=0; j<=lhhm1; j++){
ivan@78:       tj+=2;
ivan@78:       x0 = x0 + x_inl[i+j]*g0[lhm1-1-tj] + x_inh[i+j]*g1[lhm1-1-tj] ;
ivan@78:       x1 = x1 + x_inl[i+j]*g0[lhm1-tj] + x_inh[i+j]*g1[lhm1-tj] ;
ivan@78:     }
ivan@78:     x_out[ind++] = x0;
ivan@78:     x_out[ind++] = x1;
ivan@78:   }
ivan@78: }