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1 /* |
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2 * Portions Copyright (c) 2009 Nokia Corporation and/or its subsidiary(-ies). |
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3 * All rights reserved. |
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4 * This component and the accompanying materials are made available |
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5 * under the terms of "Eclipse Public License v1.0" |
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6 * which accompanies this distribution, and is available |
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7 * at the URL "http://www.eclipse.org/legal/epl-v10.html". |
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8 * |
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9 * Initial Contributors: |
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10 * Nokia Corporation - initial contribution. |
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11 * |
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12 * Contributors: |
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13 * |
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14 * Description: |
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15 * The original NIST Statistical Test Suite code is placed in public domain. |
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16 * (http://csrc.nist.gov/groups/ST/toolkit/rng/documentation_software.html) |
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17 * |
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18 * This software was developed at the National Institute of Standards and Technology by |
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19 * employees of the Federal Government in the course of their official duties. Pursuant |
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20 * to title 17 Section 105 of the United States Code this software is not subject to |
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21 * copyright protection and is in the public domain. The NIST Statistical Test Suite is |
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22 * an experimental system. NIST assumes no responsibility whatsoever for its use by other |
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23 * parties, and makes no guarantees, expressed or implied, about its quality, reliability, |
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24 * or any other characteristic. We would appreciate acknowledgment if the software is used. |
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25 */ |
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26 |
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27 #include "openc.h" |
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28 #include "../include/externs.h" |
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29 #include "../include/matrix.h" |
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30 |
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31 /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * |
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32 R A N K A L G O R I T H M R O U T I N E S |
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33 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */ |
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34 |
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35 #define MATRIX_FORWARD_ELIMINATION 0 |
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36 #define MATRIX_BACKWARD_ELIMINATION 1 |
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37 |
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38 int |
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39 computeRank(int M, int Q, BitSequence **matrix) |
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40 { |
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41 int i, rank, m=MIN(M,Q); |
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42 |
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43 /* FORWARD APPLICATION OF ELEMENTARY ROW OPERATIONS */ |
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44 for ( i=0; i<m-1; i++ ) { |
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45 if ( matrix[i][i] == 1 ) |
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46 perform_elementary_row_operations(MATRIX_FORWARD_ELIMINATION, i, M, Q, matrix); |
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47 else { /* matrix[i][i] = 0 */ |
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48 if ( find_unit_element_and_swap(MATRIX_FORWARD_ELIMINATION, i, M, Q, matrix) == 1 ) |
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49 perform_elementary_row_operations(MATRIX_FORWARD_ELIMINATION, i, M, Q, matrix); |
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50 } |
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51 } |
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52 |
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53 /* BACKWARD APPLICATION OF ELEMENTARY ROW OPERATIONS */ |
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54 for ( i=m-1; i>0; i-- ) { |
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55 if ( matrix[i][i] == 1 ) |
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56 perform_elementary_row_operations(MATRIX_BACKWARD_ELIMINATION, i, M, Q, matrix); |
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57 else { /* matrix[i][i] = 0 */ |
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58 if ( find_unit_element_and_swap(MATRIX_BACKWARD_ELIMINATION, i, M, Q, matrix) == 1 ) |
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59 perform_elementary_row_operations(MATRIX_BACKWARD_ELIMINATION, i, M, Q, matrix); |
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60 } |
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61 } |
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62 |
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63 rank = determine_rank(m, M, Q, matrix); |
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64 |
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65 return rank; |
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66 } |
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67 |
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68 void |
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69 perform_elementary_row_operations(int flag, int i, int M, int Q, BitSequence **A) |
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70 { |
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71 int j, k; |
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72 |
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73 if ( flag == MATRIX_FORWARD_ELIMINATION ) { |
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74 for ( j=i+1; j<M; j++ ) |
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75 if ( A[j][i] == 1 ) |
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76 for ( k=i; k<Q; k++ ) |
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77 A[j][k] = (BitSequence)((A[j][k] + A[i][k]) % 2); |
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78 } |
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79 else { |
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80 for ( j=i-1; j>=0; j-- ) |
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81 if ( A[j][i] == 1 ) |
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82 for ( k=0; k<Q; k++ ) |
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83 A[j][k] = (BitSequence)((A[j][k] + A[i][k]) % 2); |
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84 } |
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85 } |
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86 |
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87 int |
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88 find_unit_element_and_swap(int flag, int i, int M, int Q, BitSequence **A) |
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89 { |
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90 int index, row_op=0; |
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91 |
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92 if ( flag == MATRIX_FORWARD_ELIMINATION ) { |
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93 index = i+1; |
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94 while ( (index < M) && (A[index][i] == 0) ) |
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95 index++; |
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96 if ( index < M ) |
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97 row_op = swap_rows(i, index, Q, A); |
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98 } |
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99 else { |
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100 index = i-1; |
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101 while ( (index >= 0) && (A[index][i] == 0) ) |
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102 index--; |
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103 if ( index >= 0 ) |
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104 row_op = swap_rows(i, index, Q, A); |
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105 } |
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106 |
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107 return row_op; |
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108 } |
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109 |
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110 int |
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111 swap_rows(int i, int index, int Q, BitSequence **A) |
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112 { |
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113 int p; |
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114 BitSequence temp; |
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115 |
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116 for ( p=0; p<Q; p++ ) { |
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117 temp = A[i][p]; |
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118 A[i][p] = A[index][p]; |
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119 A[index][p] = temp; |
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120 } |
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121 |
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122 return 1; |
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123 } |
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124 |
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125 int |
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126 determine_rank(int m, int M, int Q, BitSequence **A) |
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127 { |
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128 int i, j, rank, allZeroes; |
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129 |
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130 /* DETERMINE RANK, THAT IS, COUNT THE NUMBER OF NONZERO ROWS */ |
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131 |
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132 rank = m; |
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133 for ( i=0; i<M; i++ ) { |
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134 allZeroes = 1; |
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135 for ( j=0; j<Q; j++) { |
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136 if ( A[i][j] == 1 ) { |
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137 allZeroes = 0; |
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138 break; |
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139 } |
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140 } |
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141 if ( allZeroes == 1 ) |
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142 rank--; |
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143 } |
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144 |
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145 return rank; |
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146 } |
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147 |
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148 BitSequence** |
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149 create_matrix(int M, int Q) |
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150 { |
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151 int i; |
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152 BitSequence **matrix; |
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153 |
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154 if ( (matrix = (BitSequence **) calloc(M, sizeof(BitSequence *))) == NULL ) { |
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155 printf("ERROR IN FUNCTION create_matrix: Insufficient memory available.\n"); |
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156 |
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157 return NULL; |
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158 } |
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159 else { |
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160 for ( i=0; i<M; i++ ) { |
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161 if ( (matrix[i] = (unsigned char*)calloc(Q, sizeof(BitSequence))) == NULL ) { |
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162 printf("ERROR IN FUNCTION create_matrix: Insufficient memory for %dx%d matrix.\n", M, M); |
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163 |
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164 return NULL; |
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165 } |
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166 } |
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167 return matrix; |
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168 } |
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169 } |
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170 |
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171 void |
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172 def_matrix(int M, int Q, BitSequence **m,int k) |
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173 { |
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174 int i,j; |
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175 |
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176 for ( i=0; i<M; i++ ) |
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177 for ( j=0; j<Q; j++ ) |
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178 m[i][j] = epsilon[k*(M*Q)+j+i*M]; |
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179 } |
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180 |
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181 void |
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182 delete_matrix(int M, BitSequence **matrix) |
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183 { |
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184 int i; |
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185 |
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186 for ( i=0; i<M; i++ ) |
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187 free(matrix[i]); |
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188 free(matrix); |
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189 } |