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1 #include "wm.h"
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2 #include "dct.h"
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3
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4 #define INVROOT2 0.7071067814
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5 #define SWAP(A, B) {double t = A; A = B; B = t;}
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6
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7 int N;
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8 int M;
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9
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10 double *dct_NxN_tmp = NULL;
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11 double *dct_NxN_costable = NULL;
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12 int dct_NxN_log2N = 0;
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13
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14 static const unsigned int JPEG_lumin_quant_table[NJPEG][NJPEG] = {
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15 {16, 11, 10, 16, 24, 40, 51, 61},
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16 {12, 12, 14, 19, 26, 58, 60, 55},
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17 {14, 13, 16, 24, 40, 57, 69, 56},
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18 {14, 17, 22, 29, 51, 87, 80, 62},
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19 {18, 22, 37, 56, 68, 109, 103, 77},
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20 {24, 35, 55, 64, 81, 104, 113, 92},
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21 {49, 64, 78, 87, 103, 121, 120, 101},
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22 {72, 92, 95, 98, 112, 100, 103, 99}};
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23
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24 static const unsigned int JPEG_chromin_quant_table[NJPEG][NJPEG] = {
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25 {17, 18, 24, 47, 99, 99, 99, 99},
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26 {18, 21, 26, 66, 99, 99, 99, 99},
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27 {24, 26, 56, 99, 99, 99, 99, 99},
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28 {47, 66, 99, 99, 99, 99, 99, 99},
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29 {99, 99, 99, 99, 99, 99, 99, 99},
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30 {99, 99, 99, 99, 99, 99, 99, 99},
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31 {99, 99, 99, 99, 99, 99, 99, 99},
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32 {99, 99, 99, 99, 99, 99, 99, 99}};
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33
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34 static void initcosarray()
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35 {
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36 int i,group,base,item,nitems,halfN;
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37 double factor;
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38
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39 dct_NxN_log2N = -1;
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40 do{
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41 dct_NxN_log2N++;
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42 if ((1<<dct_NxN_log2N)>N){
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43 fprintf(stderr, "dct_NxN: %d not a power of 2\n", N);
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44 exit(1);
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45 }
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46 }while((1<<dct_NxN_log2N)<N);
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47 if (dct_NxN_costable) free(dct_NxN_costable);
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48 dct_NxN_costable = (double*) malloc(N * sizeof(double));
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49 #ifdef DEBUG
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50 if(!dct_NxN_costable){
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51 fprintf(stderr, "Unable to allocate C array\n");
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52 exit(1);
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53 }
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54 #endif
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55 halfN=N/2;
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56 for(i=0;i<=halfN-1;i++) dct_NxN_costable[halfN+i]=4*i+1;
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57 for(group=1;group<=dct_NxN_log2N-1;group++){
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58 base= 1<<(group-1);
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59 nitems=base;
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60 factor = 1.0*(1<<(dct_NxN_log2N-group));
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61 for(item=1; item<=nitems;item++) dct_NxN_costable[base+item-1]=factor*dct_NxN_costable[halfN+item-1];
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62 }
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63
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64 for(i=1;i<=N-1;i++) dct_NxN_costable[i] = 1.0/(2.0*cos(dct_NxN_costable[i]*M_PI/(2.0*N)));
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65 }
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66
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67 void init_dct_NxN(int width, int height) {
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68 #ifdef DEBUG
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69 if (width != height || width <= 0) {
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70 fprintf(stderr, "init_dct_NxN(): dimensions out of range\n");
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71 exit(1);
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72 }
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73 #endif
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74
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75 if (dct_NxN_tmp && M != height)
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76 free(dct_NxN_tmp);
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77
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78 N = width;
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79 M = height;
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80
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81 dct_NxN_tmp = (double *) malloc(height * sizeof(double));
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82 #ifdef DEBUG
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83 if (!dct_NxN_tmp) {
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84 fprintf(stderr, "init_dct_NxN(): failed to allocate memory\n");
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85 exit(1);
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86 }
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87 #endif
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88
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89 initcosarray();
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90 }
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91
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92 static void bitrev(double *f, int len)
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93 {
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94 int i,j,m;
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95
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96 if (len<=2) return; /* No action necessary if n=1 or n=2 */
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97 j=1;
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98 for(i=1; i<=len; i++){
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99 if(i<j)
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100 SWAP(f[j-1], f[i-1]);
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101 m = len>>1;
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102 while(j>m){
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103 j=j-m;
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104 m=(m+1)>>1;
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105 }
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106 j=j+m;
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107 }
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108 }
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109
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110 static void inv_sums(double *f)
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111 {
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112 int stepsize,stage,curptr,nthreads,thread,step,nsteps;
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113
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114 for(stage=1; stage <=dct_NxN_log2N-1; stage++){
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115 nthreads = 1<<(stage-1);
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116 stepsize = nthreads<<1;
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117 nsteps = (1<<(dct_NxN_log2N-stage)) - 1;
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118 for(thread=1; thread<=nthreads; thread++){
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119 curptr=N-thread;
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120 for(step=1; step<=nsteps; step++){
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121 f[curptr] += f[curptr-stepsize];
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122 curptr -= stepsize;
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123 }
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124 }
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125 }
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126 }
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127
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128 static void fwd_sums(double *f)
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129 {
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130 int stepsize,stage,curptr,nthreads,thread,step,nsteps;
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131
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132 for(stage=dct_NxN_log2N-1; stage >=1; stage--){
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133 nthreads = 1<<(stage-1);
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134 stepsize = nthreads<<1;
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135 nsteps = (1<<(dct_NxN_log2N-stage)) - 1;
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136 for(thread=1; thread<=nthreads; thread++){
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137 curptr=nthreads +thread-1;
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138 for(step=1; step<=nsteps; step++){
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139 f[curptr] += f[curptr+stepsize];
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140 curptr += stepsize;
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141 }
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142 }
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143 }
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144 }
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145
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146 static void scramble(double *f,int len){
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147 int i,ii1,ii2;
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148
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149 bitrev(f,len);
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150 bitrev(&f[0], len>>1);
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151 bitrev(&f[len>>1], len>>1);
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152 ii1=len-1;
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153 ii2=len>>1;
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154 for(i=0; i<(len>>2); i++){
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155 SWAP(f[ii1], f[ii2]);
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156 ii1--;
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157 ii2++;
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158 }
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159 }
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160
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161 static void unscramble(double *f,int len)
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162 {
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163 int i,ii1,ii2;
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164
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165 ii1 = len-1;
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166 ii2 = len>>1;
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167 for(i=0; i<(len>>2); i++){
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168 SWAP(f[ii1], f[ii2]);
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169 ii1--;
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170 ii2++;
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171 }
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172 bitrev(&f[0], len>>1);
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173 bitrev(&f[len>>1], len>>1);
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174 bitrev(f,len);
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175 }
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176
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177 static void inv_butterflies(double *f)
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178 {
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179 int stage,ii1,ii2,butterfly,ngroups,group,wingspan,increment,baseptr;
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180 double Cfac,T;
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181
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182 for(stage=1; stage<=dct_NxN_log2N;stage++){
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183 ngroups=1<<(dct_NxN_log2N-stage);
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184 wingspan=1<<(stage-1);
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185 increment=wingspan<<1;
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186 for(butterfly=1; butterfly<=wingspan; butterfly++){
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187 Cfac = dct_NxN_costable[wingspan+butterfly-1];
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188 baseptr=0;
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189 for(group=1; group<=ngroups; group++){
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190 ii1=baseptr+butterfly-1;
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191 ii2=ii1+wingspan;
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192 T=Cfac * f[ii2];
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193 f[ii2]=f[ii1]-T;
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194 f[ii1]=f[ii1]+T;
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195 baseptr += increment;
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196 }
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197 }
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198 }
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199 }
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200
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201 static void fwd_butterflies(double *f)
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202 {
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203 int stage,ii1,ii2,butterfly,ngroups,group,wingspan,increment,baseptr;
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204 double Cfac,T;
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205
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206 for(stage=dct_NxN_log2N; stage>=1;stage--){
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207 ngroups=1<<(dct_NxN_log2N-stage);
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208 wingspan=1<<(stage-1);
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209 increment=wingspan<<1;
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210 for(butterfly=1; butterfly<=wingspan; butterfly++){
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211 Cfac = dct_NxN_costable[wingspan+butterfly-1];
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212 baseptr=0;
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213 for(group=1; group<=ngroups; group++){
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214 ii1=baseptr+butterfly-1;
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215 ii2=ii1+wingspan;
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216 T= f[ii2];
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217 f[ii2]=Cfac *(f[ii1]-T);
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218 f[ii1]=f[ii1]+T;
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219 baseptr += increment;
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220 }
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221 }
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222 }
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223 }
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224
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225 static void ifct_noscale(double *f)
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226 {
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227 f[0] *= INVROOT2;
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228 inv_sums(f);
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229 bitrev(f,N);
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230 inv_butterflies(f);
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231 unscramble(f,N);
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232 }
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233
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234 static void fct_noscale(double *f)
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235 {
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236 scramble(f,N);
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237 fwd_butterflies(f);
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238 bitrev(f,N);
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239 fwd_sums(f);
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240 f[0] *= INVROOT2;
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241 }
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242
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243 void fdct_NxN(gray **pixels, double **dcts) {
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244 int u,v;
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245 double two_over_sqrtncolsnrows = 2.0/sqrt((double) N*M);
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246
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247 for (u=0; u < N; u++)
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248 for (v=0; v < M; v++)
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249 dcts[u][v] = ((int) pixels[u][v]-128);
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250
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251 for (u=0; u<=M-1; u++){
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252 fct_noscale(dcts[u]);
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253 }
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254 for (v=0; v<=N-1; v++){
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255 for (u=0; u<=M-1; u++){
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256 dct_NxN_tmp[u] = dcts[u][v];
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257 }
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258 fct_noscale(dct_NxN_tmp);
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259 for (u=0; u<=M-1; u++){
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260 dcts[u][v] = dct_NxN_tmp[u]*two_over_sqrtncolsnrows;
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261 }
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262 }
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263 }
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264
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265 void idct_NxN(double **dcts, gray **pixels) {
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266 int u,v;
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267 double two_over_sqrtncolsnrows = 2.0/sqrt((double) N*M);
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268
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269 double **tmp;
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270
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271 tmp = alloc_coeffs(N, N);
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272 for (u=0;u<N;u++)
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273 for (v=0;v<M;v++)
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274 tmp[u][v] = dcts[u][v];
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275
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276 for (u=0; u<=M-1; u++){
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277 ifct_noscale(tmp[u]);
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278 }
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279 for (v=0; v<=N-1; v++){
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280 for (u=0; u<=M-1; u++){
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281 dct_NxN_tmp[u] = tmp[u][v];
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282 }
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283 ifct_noscale(dct_NxN_tmp);
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284 for (u=0; u<=M-1; u++){
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285 tmp[u][v] = dct_NxN_tmp[u]*two_over_sqrtncolsnrows;
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286 }
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287 }
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288
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289 for (u=0;u<N;u++)
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290 for (v=0;v<M;v++)
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291 pixels[u][v] = PIXELRANGE(tmp[u][v] + 128.5);
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292 free(tmp);
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293 }
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294
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295 void fdct_inplace_NxN(double **coeffs) {
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296 int u,v;
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297 double two_over_sqrtncolsnrows = 2.0/sqrt((double) N*M);
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298
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299 for (u=0; u<=M-1; u++)
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300 fct_noscale(coeffs[u]);
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301
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302 for (v=0; v<=N-1; v++){
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303 for (u=0; u<=M-1; u++)
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304 dct_NxN_tmp[u] = coeffs[u][v];
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305
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306 fct_noscale(dct_NxN_tmp);
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307 for (u=0; u<=M-1; u++)
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308 coeffs[u][v] = dct_NxN_tmp[u]*two_over_sqrtncolsnrows;
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309 }
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310 }
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311
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312 void idct_inplace_NxN(double **coeffs) {
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313 int u,v;
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314 double two_over_sqrtncolsnrows = 2.0/sqrt((double) N*M);
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315
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316 for (u=0; u<=M-1; u++)
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317 ifct_noscale(coeffs[u]);
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318
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319 for (v=0; v<=N-1; v++) {
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320 for (u=0; u<=M-1; u++)
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321 dct_NxN_tmp[u] = coeffs[u][v];
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322
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323 ifct_noscale(dct_NxN_tmp);
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324 for (u=0; u<=M-1; u++)
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325 coeffs[u][v] = dct_NxN_tmp[u]*two_over_sqrtncolsnrows;
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326 }
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327
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328 }
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329
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330 double **dct_NxM_costable_x = NULL;
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331 double **dct_NxM_costable_y = NULL;
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332
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333 void init_dct_NxM(int cols, int rows) {
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334 int i, j;
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335 double cx = sqrt(2.0 / cols);
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336 double cy = sqrt(2.0 / rows);
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337
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338 #ifdef DEBUG
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339 if (cols <= 0 || rows <= 0) {
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340 fprintf(stderr, "init_dct_NxM(): dimensions out of range\n");
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341 exit(1);
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342 }
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343 #endif
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344
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345 if (dct_NxM_costable_x && N != cols) {
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346 free_coeffs(dct_NxM_costable_x);
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347 dct_NxM_costable_x = NULL;
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348 }
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349
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350 if (dct_NxM_costable_y && M != rows) {
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351 free_coeffs(dct_NxM_costable_y);
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352 dct_NxM_costable_y = NULL;
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353 }
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354
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355 if (!dct_NxM_costable_x)
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356 dct_NxM_costable_x = alloc_coeffs(cols, cols);
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357 if (!dct_NxM_costable_y)
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358 dct_NxM_costable_y = alloc_coeffs(rows, rows);
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359
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360 N = cols;
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361 M = rows;
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362
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363 for (i = 0; i < cols; i++) {
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364 for (j = 0; j < cols; j++) {
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365 dct_NxM_costable_x[i][j] = cx * cos((M_PI * ((2*i + 1) * j)) / (double) (2 * N));
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366 }
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367 }
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368
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369 for (i = 0; i < rows; i++) {
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370 for (j = 0; j < rows; j++) {
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371 dct_NxM_costable_y[i][j] = cy * cos((M_PI * ((2*i + 1) * j)) / (double) (2 * M));
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372 }
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373 }
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374 }
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375
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376 void fdct_NxM(gray **pixels, double **dcts) {
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377 int x, y;
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378 int i, j;
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379 double t;
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380 double cx0 = sqrt(1.0 / N);
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381 double cy0 = sqrt(1.0 / M);
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382
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383 t = 0.0;
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384 for (x = 0; x < N; x++)
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385 for (y = 0; y < M; y++)
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386 t += ((int) pixels[y][x] - 128);
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387 dcts[0][0] = cx0 * cy0 * t;
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388
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389 for (i = 1; i < N; i++) {
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390 t = 0.0;
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391 for (x = 0; x < N; x++)
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392 for (y = 0; y < M; y++)
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393 t += ((int) pixels[y][x] - 128) * dct_NxM_costable_x[x][i];
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394 dcts[0][i] = cy0 * t;
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395 }
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396
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397 for (j = 1; j < M; j++) {
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398 t = 0.0;
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399 for (x = 0; x < N; x++)
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400 for (y = 0; y < M; y++)
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401 t += ((int) pixels[y][x] - 128) * dct_NxM_costable_y[y][j];
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402 dcts[j][0] = cx0 * t;
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403 }
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404
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405 for (i = 1; i < N; i++)
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406 for (j = 1; j < M; j++) {
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407 t = 0.0;
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408 for (x = 0; x < N; x++)
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409 for (y = 0; y < M; y++)
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410 t += ((int) pixels[y][x] - 128) * dct_NxM_costable_x[x][i] * dct_NxM_costable_y[y][j];
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411 dcts[j][i] = t;
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412 }
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413 }
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414
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415 void idct_NxM(double **dcts, gray **pixels) {
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416 int x, y;
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417 int i, j;
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418 double cx0 = sqrt(1.0 / N);
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419 double cy0 = sqrt(1.0 / M);
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420 double t;
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421
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422 for (x = 0; x < N; x++) {
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423 for (y = 0; y < M; y++) {
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424
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425 t = cx0 * cy0 * dcts[0][0];
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426
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427 for (i = 1; i < N; i++)
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428 t += cy0 * dcts[0][i] * dct_NxM_costable_x[x][i];
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429
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430 for (j = 1; j < M; j++)
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431 t += cx0 * dcts[j][0] * dct_NxM_costable_y[y][j];
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432
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|
433 for (i = 1; i < N; i++)
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434 for (j = 1; j < M; j++)
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435 t += dcts[j][i] * dct_NxM_costable_x[x][i] * dct_NxM_costable_y[y][j];
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436
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437 pixels[y][x] = PIXELRANGE((int) (t + 128.5));
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438 }
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439 }
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440 }
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441
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442 double C[NJPEG][NJPEG];
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443 double Ct[NJPEG][NJPEG];
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|
444 int Quantum[NJPEG][NJPEG];
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445
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446 void init_quantum_8x8(int quality) {
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447 int i;
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448 int j;
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449
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450 for (i = 0; i < NJPEG; i++)
|
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451 for ( j = 0 ; j < NJPEG ; j++ )
|
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452 Quantum[ i ][ j ] = 1 + ( ( 1 + i + j ) * quality );
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|
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453 }
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454
|
|
|
455 void init_quantum_JPEG_lumin(int quality) {
|
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|
456 int i;
|
|
|
457 int j;
|
|
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458
|
|
|
459 if (quality < 50)
|
|
|
460 quality = 5000 / quality;
|
|
|
461 else
|
|
|
462 quality = 200 - quality * 2;
|
|
|
463
|
|
|
464 for (i = 0; i < NJPEG; i++)
|
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465 for (j = 0 ; j < NJPEG ; j++)
|
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|
466 if (quality)
|
|
|
467 Quantum[i][j] = (JPEG_lumin_quant_table[i][j] * quality + 50) / 100;
|
|
|
468 else
|
|
|
469 Quantum[i][j] = JPEG_lumin_quant_table[i][j];
|
|
|
470 }
|
|
|
471
|
|
|
472 void init_quantum_JPEG_chromin(int quality) {
|
|
|
473 int i;
|
|
|
474 int j;
|
|
|
475
|
|
|
476 if (quality < 50)
|
|
|
477 quality = 5000 / quality;
|
|
|
478 else
|
|
|
479 quality = 200 - quality * 2;
|
|
|
480
|
|
|
481 for (i = 0; i < NJPEG; i++)
|
|
|
482 for (j = 0 ; j < NJPEG ; j++)
|
|
|
483 if (quality)
|
|
|
484 Quantum[i][j] = (JPEG_lumin_quant_table[i][j] * quality + 50) / 100;
|
|
|
485 else
|
|
|
486 Quantum[i][j] = JPEG_lumin_quant_table[i][j];
|
|
|
487 }
|
|
|
488
|
|
|
489 void quantize_8x8(double **transform) {
|
|
|
490 int i;
|
|
|
491 int j;
|
|
|
492
|
|
|
493 for (i = 0; i < NJPEG; i++)
|
|
|
494 for (j = 0; j < NJPEG; j++)
|
|
|
495 transform[i][j] = ROUND(transform[i][j] / Quantum[i][j]);
|
|
|
496 }
|
|
|
497
|
|
|
498 void dequantize_8x8(double **transform) {
|
|
|
499 int i;
|
|
|
500 int j;
|
|
|
501
|
|
|
502 for (i = 0; i < NJPEG; i++)
|
|
|
503 for (j = 0; j < NJPEG; j++)
|
|
|
504 transform[i][j] = ROUND(transform[i][j] * Quantum[i][j]);
|
|
|
505 }
|
|
|
506
|
|
|
507 void init_dct_8x8() {
|
|
|
508 int i;
|
|
|
509 int j;
|
|
|
510 double pi = atan( 1.0 ) * 4.0;
|
|
|
511
|
|
|
512 for ( j = 0 ; j < NJPEG ; j++ ) {
|
|
|
513 C[ 0 ][ j ] = 1.0 / sqrt( (double) NJPEG );
|
|
|
514 Ct[ j ][ 0 ] = C[ 0 ][ j ];
|
|
|
515 }
|
|
|
516
|
|
|
517 for ( i = 1 ; i < NJPEG ; i++ )
|
|
|
518 for ( j = 0 ; j < NJPEG ; j++ ) {
|
|
|
519 C[ i ][ j ] = sqrt( 2.0 / NJPEG ) * cos( pi * ( 2 * j + 1 ) * i / ( 2.0 * NJPEG ) );
|
|
|
520 Ct[ j ][ i ] = C[ i ][ j ];
|
|
|
521 }
|
|
|
522 }
|
|
|
523
|
|
|
524 /*
|
|
|
525 * The Forward DCT routine implements the matrix function:
|
|
|
526 *
|
|
|
527 * DCT = C * pixels * Ct
|
|
|
528 */
|
|
|
529
|
|
|
530 void fdct_8x8(gray **input, double **output) {
|
|
|
531 double temp[NJPEG][NJPEG];
|
|
|
532 double temp1;
|
|
|
533 int i;
|
|
|
534 int j;
|
|
|
535 int k;
|
|
|
536
|
|
|
537 /* MatrixMultiply( temp, input, Ct ); */
|
|
|
538 for ( i = 0 ; i < NJPEG ; i++ ) {
|
|
|
539 for ( j = 0 ; j < NJPEG ; j++ ) {
|
|
|
540 temp[ i ][ j ] = 0.0;
|
|
|
541 for ( k = 0 ; k < NJPEG ; k++ )
|
|
|
542 temp[ i ][ j ] += ( (int) input[ i ][ k ]) *
|
|
|
543 Ct[ k ][ j ];
|
|
|
544 }
|
|
|
545 }
|
|
|
546
|
|
|
547 /* MatrixMultiply( output, C, temp ); */
|
|
|
548 for ( i = 0 ; i < NJPEG ; i++ ) {
|
|
|
549 for ( j = 0 ; j < NJPEG ; j++ ) {
|
|
|
550 temp1 = 0.0;
|
|
|
551 for ( k = 0 ; k < NJPEG ; k++ )
|
|
|
552 temp1 += C[ i ][ k ] * temp[ k ][ j ];
|
|
|
553 output[ i ][ j ] = temp1;
|
|
|
554 }
|
|
|
555 }
|
|
|
556 }
|
|
|
557
|
|
|
558 void fdct_block_8x8(gray **input, int col, int row, double **output) {
|
|
|
559 int i, j;
|
|
|
560 gray *input_array[NJPEG];
|
|
|
561
|
|
|
562 for (i = 0; i < NJPEG; i++)
|
|
|
563 input_array[i] = &input[row + i][col];
|
|
|
564
|
|
|
565 fdct_8x8(input_array, output);
|
|
|
566 }
|
|
|
567
|
|
|
568 /*
|
|
|
569 * The Inverse DCT routine implements the matrix function:
|
|
|
570 *
|
|
|
571 * pixels = C * DCT * Ct
|
|
|
572 */
|
|
|
573
|
|
|
574 void idct_8x8(double **input, gray **output) {
|
|
|
575 double temp[ NJPEG ][ NJPEG ];
|
|
|
576 double temp1;
|
|
|
577 int i;
|
|
|
578 int j;
|
|
|
579 int k;
|
|
|
580
|
|
|
581 /* MatrixMultiply( temp, input, C ); */
|
|
|
582 for ( i = 0 ; i < NJPEG ; i++ ) {
|
|
|
583 for ( j = 0 ; j < NJPEG ; j++ ) {
|
|
|
584 temp[ i ][ j ] = 0.0;
|
|
|
585 for ( k = 0 ; k < NJPEG ; k++ )
|
|
|
586 temp[ i ][ j ] += input[ i ][ k ] * C[ k ][ j ];
|
|
|
587 }
|
|
|
588 }
|
|
|
589
|
|
|
590 /* MatrixMultiply( output, Ct, temp ); */
|
|
|
591 for ( i = 0 ; i < NJPEG ; i++ ) {
|
|
|
592 for ( j = 0 ; j < NJPEG ; j++ ) {
|
|
|
593 temp1 = 0.0;
|
|
|
594 for ( k = 0 ; k < NJPEG ; k++ )
|
|
|
595 temp1 += Ct[ i ][ k ] * temp[ k ][ j ];
|
|
|
596 output[i][j] = PIXELRANGE(ROUND(temp1));
|
|
|
597 }
|
|
|
598 }
|
|
|
599 }
|
|
|
600
|
|
|
601 void idct_block_8x8(double **input, gray **output, int col, int row) {
|
|
|
602 int i, j;
|
|
|
603 gray *output_array[NJPEG];
|
|
|
604
|
|
|
605 for (i = 0; i < NJPEG; i++)
|
|
|
606 output_array[i] = &output[row + i][col];
|
|
|
607
|
|
|
608 idct_8x8(input, output_array);
|
|
|
609 }
|
|
|
610
|
|
|
611 int is_middle_frequency_coeff_8x8(int coeff) {
|
|
|
612 switch (coeff) {
|
|
|
613 case 3:
|
|
|
614 case 10:
|
|
|
615 case 17:
|
|
|
616 case 24:
|
|
|
617 return 1;
|
|
|
618 case 4:
|
|
|
619 case 11:
|
|
|
620 case 18:
|
|
|
621 case 25:
|
|
|
622 case 32:
|
|
|
623 return 2;
|
|
|
624 case 5:
|
|
|
625 case 12:
|
|
|
626 case 19:
|
|
|
627 case 26:
|
|
|
628 case 33:
|
|
|
629 case 40:
|
|
|
630 return 3;
|
|
|
631 case 13:
|
|
|
632 case 20:
|
|
|
633 case 27:
|
|
|
634 case 34:
|
|
|
635 case 41:
|
|
|
636 return 4;
|
|
|
637 case 28:
|
|
|
638 case 35:
|
|
|
639 return 5;
|
|
|
640 default:
|
|
|
641 return 0;
|
|
|
642 }
|
|
|
643 }
|
