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1 /*
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2 File Name: midwt.c
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3 Last Modification Date: 06/14/95 12:55:58
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4 Current Version: midwt.c 1.4
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5 File Creation Date: Wed Oct 12 08:44:43 1994
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6 Author: Markus Lang <lang@jazz.rice.edu>
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7
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8 Copyright: All software, documentation, and related files in this distribution
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9 are Copyright (c) 1994 Rice University
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10
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11 Permission is granted for use and non-profit distribution providing that this
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12 notice be clearly maintained. The right to distribute any portion for profit
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13 or as part of any commercial product is specifically reserved for the author.
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14
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15 Change History: Fixed code such that the result has the same dimension as the
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16 input for 1D problems. Also, added some standard error checking.
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17 Jan Erik Odegard <odegard@ece.rice.edu> Wed Jun 14 1995
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18
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19 */
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20 #include <math.h>
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21 /*#include <malloc.h>*/
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22 #include <stdio.h>
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23 #include "mex.h"
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24 #include "matrix.h"
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25 #if !defined(_WIN32) && !defined(_WIN64)
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26 #include <inttypes.h>
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27 #endif
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28 #define max(A,B) (A > B ? A : B)
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29 #define min(A,B) (A < B ? A : B)
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30 #define even(x) ((x & 1) ? 0 : 1)
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31 #define isint(x) ((x - floor(x)) > 0.0 ? 0 : 1)
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32
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33
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34
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35 void mexFunction(int nlhs,mxArray *plhs[],int nrhs,const mxArray *prhs[])
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36
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37 {
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38 double *x, *h, *y, *Lf, *Lr;
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39 intptr_t m, n, h_col, h_row, lh, L, i, po2, j;
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40 double mtest, ntest;
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41
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42 /* check for correct # of input variables */
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43 if (nrhs>3){
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44 mexErrMsgTxt("There are at most 3 input parameters allowed!");
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45 return;
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46 }
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47 if (nrhs<2){
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48 mexErrMsgTxt("There are at least 2 input parameters required!");
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49 return;
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50 }
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51 y = mxGetPr(prhs[0]);
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52 n = mxGetN(prhs[0]);
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53 m = mxGetM(prhs[0]);
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54 h = mxGetPr(prhs[1]);
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55 h_col = mxGetN(prhs[1]);
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56 h_row = mxGetM(prhs[1]);
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57 if (h_col>h_row)
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58 lh = h_col;
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59 else
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60 lh = h_row;
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61 if (nrhs == 3){
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62 L = (intptr_t) *mxGetPr(prhs[2]);
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63 if (L < 0)
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64 mexErrMsgTxt("The number of levels, L, must be a non-negative integer");
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65 }
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66 else /* Estimate L */ {
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67 i=n;j=0;
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68 while (even(i)){
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69 i=(i>>1);
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70 j++;
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71 }
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72 L=m;i=0;
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73 while (even(L)){
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74 L=(L>>1);
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75 i++;
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76 }
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77 if(min(m,n) == 1)
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78 L = max(i,j);
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79 else
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80 L = min(i,j);
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81 if (L==0){
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82 mexErrMsgTxt("Maximum number of levels is zero; no decomposition can be performed!");
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83 return;
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84 }
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85 }
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86 /* Check the ROW dimension of input */
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87 if(m > 1){
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88 mtest = (double) m/pow(2.0, (double) L);
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89 if (!isint(mtest))
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90 mexErrMsgTxt("The matrix row dimension must be of size m*2^(L)");
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91 }
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92 /* Check the COLUMN dimension of input */
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93 if(n > 1){
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94 ntest = (double) n/pow(2.0, (double) L);
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95 if (!isint(ntest))
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96 mexErrMsgTxt("The matrix column dimension must be of size n*2^(L)");
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97 }
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98 plhs[0] = mxCreateDoubleMatrix(m,n,mxREAL);
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99 x = mxGetPr(plhs[0]);
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100 plhs[1] = mxCreateDoubleMatrix(1,1,mxREAL);
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101 Lr = mxGetPr(plhs[1]);
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102 *Lr = L;
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103 MIDWT(x, m, n, h, lh, L, y);
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104 }
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105
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106 #define mat(a, i, j) (*(a + (m*(j)+i))) /* macro for matrix indices */
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107
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108
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109 #ifdef __STDC__
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110 MIDWT(double *x, intptr_t m, intptr_t n, double *h, intptr_t lh, intptr_t L, double *y)
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111 #else
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112 MIDWT(x, m, n, h, lh, L, y)
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113 double *x, *h, *y;
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114 intptr_t m, n, lh, L;
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115 #endif
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116 {
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117 double *g0, *g1, *ydummyl, *ydummyh, *xdummy;
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118 intptr_t i, j;
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119 intptr_t actual_L, actual_m, actual_n, r_o_a, c_o_a, ir, ic, lhm1, lhhm1, sample_f;
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120 xdummy = (double *)mxCalloc(max(m,n),sizeof(double));
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121 ydummyl = (double *)mxCalloc(max(m,n)+lh/2-1,sizeof(double));
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122 ydummyh = (double *)(intptr_t)mxCalloc(max(m,n)+lh/2-1,sizeof(double));
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123 g0 = (double *)(intptr_t)mxCalloc(lh,sizeof(double));
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124 g1 = (double *)(intptr_t)mxCalloc(lh,sizeof(double));
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125
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126 if (n==1){
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127 n = m;
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128 m = 1;
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129 }
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130 /* synthesis lowpass and highpass */
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131 for (i=0; i<lh; i++){
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132 g0[i] = h[i];
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133 g1[i] = h[lh-i-1];
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134 }
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135 for (i=1; i<=lh; i+=2)
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136 g1[i] = -g1[i];
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137
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138 lhm1 = lh - 1;
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139 lhhm1 = lh/2 - 1;
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140 /* 2^L */
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141 sample_f = 1;
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142 for (i=1; i<L; i++)
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143 sample_f = sample_f*2;
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144
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145 if (m>1)
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146 actual_m = m/sample_f;
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147 else
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148 actual_m = 1;
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149 actual_n = n/sample_f;
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150
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151 for (i=0; i<(m*n); i++)
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152 x[i] = y[i];
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153
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154 /* main loop */
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155 for (actual_L=L; actual_L >= 1; actual_L--){
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156 r_o_a = actual_m/2;
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157 c_o_a = actual_n/2;
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158
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159 /* go by columns in case of a 2D signal*/
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160 if (m>1){
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161 for (ic=0; ic<actual_n; ic++){ /* loop over column */
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162 /* store in dummy variables */
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163 ir = r_o_a;
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164 for (i=0; i<r_o_a; i++){
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165 ydummyl[i+lhhm1] = mat(x, i, ic);
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166 ydummyh[i+lhhm1] = mat(x, ir++, ic);
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167 }
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168 /* perform filtering lowpass and highpass*/
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169 bpsconv(xdummy, r_o_a, g0, g1, lhm1, lhhm1, ydummyl, ydummyh);
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170 /* restore dummy variables in matrix */
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171 for (i=0; i<actual_m; i++)
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172 mat(x, i, ic) = xdummy[i];
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173 }
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174 }
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175 /* go by rows */
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176 for (ir=0; ir<actual_m; ir++){ /* loop over rows */
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177 /* store in dummy variable */
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178 ic = c_o_a;
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179 for (i=0; i<c_o_a; i++){
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180 ydummyl[i+lhhm1] = mat(x, ir, i);
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181 ydummyh[i+lhhm1] = mat(x, ir, ic++);
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182 }
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183 /* perform filtering lowpass and highpass*/
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184 bpsconv(xdummy, c_o_a, g0, g1, lhm1, lhhm1, ydummyl, ydummyh);
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185 /* restore dummy variables in matrices */
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186 for (i=0; i<actual_n; i++)
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187 mat(x, ir, i) = xdummy[i];
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188 }
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189 if (m==1)
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190 actual_m = 1;
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191 else
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192 actual_m = actual_m*2;
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193 actual_n = actual_n*2;
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194 }
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195 }
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196
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197 #ifdef __STDC__
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198 bpsconv(double *x_out, intptr_t lx, double *g0, double *g1, intptr_t lhm1,
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199 intptr_t lhhm1, double *x_inl, double *x_inh)
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200 #else
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201 bpsconv(x_out, lx, g0, g1, lhm1, lhhm1, x_inl, x_inh)
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202 double *x_inl, *x_inh, *g0, *g1, *x_out;
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203 intptr_t lx, lhm1, lhhm1;
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204 #endif
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205 {
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206 intptr_t i, j, ind, tj;
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207 double x0, x1;
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208
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209 for (i=lhhm1-1; i > -1; i--){
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210 x_inl[i] = x_inl[lx+i];
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211 x_inh[i] = x_inh[lx+i];
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212 }
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213 ind = 0;
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214 for (i=0; i<(lx); i++){
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215 x0 = 0;
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216 x1 = 0;
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217 tj = -2;
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218 for (j=0; j<=lhhm1; j++){
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219 tj+=2;
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220 x0 = x0 + x_inl[i+j]*g0[lhm1-1-tj] + x_inh[i+j]*g1[lhm1-1-tj] ;
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221 x1 = x1 + x_inl[i+j]*g0[lhm1-tj] + x_inh[i+j]*g1[lhm1-tj] ;
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222 }
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223 x_out[ind++] = x0;
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224 x_out[ind++] = x1;
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225 }
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226 }
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