1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [restrDebug.c] |
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4 | |
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5 | PackageName [restr] |
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6 | |
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7 | Synopsis [Utility functions to aid in debugging.] |
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8 | |
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9 | Description [Utility functions to aid in debugging.] |
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10 | |
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11 | SeeAlso [restrUtil.c] |
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12 | |
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13 | Author [Balakrishna Kumthekar <kumtheka@colorado.edu>] |
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14 | |
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15 | Copyright [This file was created at the University of Colorado at |
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16 | Boulder. The University of Colorado at Boulder makes no warranty |
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17 | about the suitability of this software for any purpose. It is |
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18 | presented on an AS IS basis.] |
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19 | |
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20 | ******************************************************************************/ |
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21 | |
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22 | #include "restrInt.h" |
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23 | |
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24 | |
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25 | /*---------------------------------------------------------------------------*/ |
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26 | /* Constant declarations */ |
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27 | /*---------------------------------------------------------------------------*/ |
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28 | |
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29 | |
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30 | /*---------------------------------------------------------------------------*/ |
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31 | /* Type declarations */ |
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32 | /*---------------------------------------------------------------------------*/ |
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33 | |
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34 | |
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35 | /*---------------------------------------------------------------------------*/ |
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36 | /* Structure declarations */ |
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37 | /*---------------------------------------------------------------------------*/ |
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38 | |
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39 | |
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40 | /*---------------------------------------------------------------------------*/ |
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41 | /* Variable declarations */ |
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42 | /*---------------------------------------------------------------------------*/ |
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43 | |
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44 | |
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45 | /*---------------------------------------------------------------------------*/ |
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46 | /* Macro declarations */ |
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47 | /*---------------------------------------------------------------------------*/ |
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48 | |
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49 | |
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50 | /**AutomaticStart*************************************************************/ |
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51 | |
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52 | /*---------------------------------------------------------------------------*/ |
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53 | /* Static function prototypes */ |
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54 | /*---------------------------------------------------------------------------*/ |
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55 | |
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56 | |
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57 | /**AutomaticEnd***************************************************************/ |
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58 | |
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59 | |
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60 | /*---------------------------------------------------------------------------*/ |
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61 | /* Definition of exported functions */ |
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62 | /*---------------------------------------------------------------------------*/ |
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63 | |
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64 | |
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65 | /*---------------------------------------------------------------------------*/ |
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66 | /* Definition of internal functions */ |
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67 | /*---------------------------------------------------------------------------*/ |
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68 | |
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69 | /**Function******************************************************************** |
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70 | |
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71 | Synopsis [Print names of network nodes given their id.] |
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72 | |
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73 | SideEffects [Print names of network nodes given their id.] |
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74 | |
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75 | SeeAlso [] |
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76 | |
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77 | ******************************************************************************/ |
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78 | void |
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79 | RestrNamePrintByMddId( |
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80 | Ntk_Network_t *network, |
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81 | array_t *array) |
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82 | |
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83 | { |
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84 | char *name; |
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85 | int i,id; |
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86 | |
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87 | arrayForEachItem(int, array, i, id) { |
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88 | name = Ntk_NodeReadName(Ntk_NetworkFindNodeByMddId(network,id)); |
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89 | fprintf(vis_stdout, "%s\n",name); |
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90 | } |
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91 | } |
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92 | |
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93 | /**Function******************************************************************** |
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94 | |
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95 | Synopsis [Interface function to bdd_print_minterm given an mvf array.] |
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96 | |
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97 | SideEffects [Interface function to bdd_print_minterm given an mvf array.] |
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98 | |
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99 | SeeAlso [] |
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100 | |
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101 | ******************************************************************************/ |
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102 | void |
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103 | RestrPrintMvfArray( |
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104 | mdd_manager *ddManager, |
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105 | Mvf_Function_t *mvfArray, |
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106 | array_t *nodeArray, |
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107 | array_t *idArray) |
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108 | { |
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109 | int i; |
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110 | mdd_t *tempMdd; |
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111 | Mvf_Function_t *mvf; |
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112 | Ntk_Node_t *node; |
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113 | |
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114 | for(i=0;i<array_n(mvfArray);i++){ |
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115 | mvf = array_fetch(Mvf_Function_t *, mvfArray, i); |
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116 | tempMdd = array_fetch(mdd_t *, mvf, 1); |
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117 | if(!(nodeArray == NIL(array_t))) { |
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118 | node = array_fetch(Ntk_Node_t *, nodeArray, i); |
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119 | fprintf(vis_stdout, "%s ", Ntk_NodeReadName(node)); |
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120 | } |
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121 | if(!(idArray == NIL(array_t))) { |
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122 | fprintf(vis_stdout, " %d", array_fetch(int,idArray,i)); |
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123 | } |
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124 | fprintf(vis_stdout, "\n"); |
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125 | bdd_print_minterm(tempMdd); |
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126 | } |
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127 | } |
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128 | |
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129 | /**Function******************************************************************** |
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130 | |
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131 | Synopsis [Prints the variable names of all variables in the manager.] |
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132 | |
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133 | SideEffects [Prints the variable names of all variables in the manager] |
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134 | |
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135 | SeeAlso [] |
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136 | |
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137 | ******************************************************************************/ |
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138 | void |
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139 | RestrPrintAllVarNames( |
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140 | bdd_manager *ddManager) |
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141 | { |
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142 | int size, i; |
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143 | mvar_type var; |
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144 | size = bdd_num_vars((bdd_manager *)ddManager); |
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145 | for(i=0;i<size;i++) { |
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146 | var = mdd_get_var_by_id(ddManager,i); |
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147 | fprintf(vis_stdout," %s",var.name); |
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148 | } |
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149 | fprintf(vis_stdout,"\n"); |
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150 | } |
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151 | |
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152 | |
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153 | /**Function******************************************************************** |
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154 | |
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155 | Synopsis [Print minterms in the onset given a bdd_node *.] |
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156 | |
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157 | SideEffects [Print minterms in the onset given a bdd_node *.] |
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158 | |
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159 | SeeAlso [] |
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160 | |
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161 | ******************************************************************************/ |
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162 | void |
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163 | RestrPrintBddNode( |
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164 | bdd_manager *manager, |
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165 | bdd_node *ddNode) |
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166 | { |
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167 | bdd_t *mdd; |
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168 | bdd_node *temp; |
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169 | bdd_ref(temp = ddNode); |
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170 | mdd = bdd_construct_bdd_t(manager,temp); |
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171 | bdd_print_minterm(mdd); |
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172 | bdd_free(mdd); |
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173 | return; |
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174 | } |
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175 | |
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176 | /**Function******************************************************************** |
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177 | |
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178 | Synopsis [Perform token simulations to check functional equivalence of two |
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179 | STGs.] |
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180 | |
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181 | SideEffects [None] |
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182 | |
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183 | SeeAlso [] |
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184 | |
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185 | ******************************************************************************/ |
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186 | void |
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187 | RestrVerifyFsmEquivBySimulation( |
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188 | bdd_manager *ddManager, |
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189 | bdd_node *oldTr, |
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190 | bdd_node *newTr, |
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191 | array_t *outBdds1, |
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192 | array_t *outBdds2, |
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193 | bdd_node *initBdd1, |
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194 | bdd_node *initBdd2, |
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195 | bdd_node **xVars, |
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196 | bdd_node **yVars, |
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197 | bdd_node **piVars, |
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198 | int nVars, |
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199 | int nPi) |
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200 | { |
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201 | int **sim, N = 11; |
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202 | int i,j,numOut1,numOut2; |
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203 | bdd_node *lambda1,*lambda2; |
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204 | bdd_node **lVars; |
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205 | bdd_node *present1,*present2,*next1,*next2; |
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206 | bdd_node *out1,*out2; |
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207 | bdd_node *input,*inputPre1,*inputPre2; |
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208 | |
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209 | sim = ALLOC(int *,N); |
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210 | for (i = 0; i < N; i++) { |
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211 | sim[i] = ALLOC(int,nPi); |
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212 | for (j = 0; j < nPi; j++) { |
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213 | sim[i][j] = 0; |
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214 | } |
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215 | } |
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216 | |
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217 | numOut1 = array_n(outBdds1); |
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218 | numOut2 = array_n(outBdds2); |
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219 | assert(numOut1 == numOut2); |
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220 | |
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221 | /* New variables to compute output relation */ |
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222 | lVars = ALLOC(bdd_node *,numOut1); |
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223 | for (i = 0; i < numOut1; i++) { |
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224 | bdd_ref(lVars[i] = bdd_bdd_new_var(ddManager)); |
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225 | } |
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226 | |
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227 | bdd_ref(lambda1 = bdd_read_one(ddManager)); |
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228 | bdd_ref(lambda2 = bdd_read_one(ddManager)); |
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229 | for (i = 0; i < numOut1; i++) { |
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230 | bdd_node *temp,*outRel; |
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231 | bdd_ref(outRel = bdd_bdd_xnor(ddManager,lVars[i], |
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232 | array_fetch(bdd_node *,outBdds1,i))); |
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233 | bdd_ref(temp = bdd_bdd_and(ddManager,lambda1,outRel)); |
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234 | bdd_recursive_deref(ddManager,outRel); |
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235 | bdd_recursive_deref(ddManager,lambda1); |
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236 | lambda1 = temp; |
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237 | |
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238 | bdd_ref(outRel = bdd_bdd_xnor(ddManager,lVars[i], |
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239 | array_fetch(bdd_node *,outBdds2,i))); |
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240 | bdd_ref(temp = bdd_bdd_and(ddManager,lambda2,outRel)); |
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241 | bdd_recursive_deref(ddManager,outRel); |
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242 | bdd_recursive_deref(ddManager,lambda2); |
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243 | lambda2 = temp; |
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244 | } |
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245 | |
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246 | bdd_ref(present1 = initBdd1); |
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247 | bdd_ref(present2 = initBdd2); |
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248 | /* Simulate the patterns */ |
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249 | for (i = 0; i < N; i++) { |
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250 | bdd_node *temp1; |
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251 | |
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252 | bdd_ref(input = bdd_bdd_compute_cube(ddManager,piVars,sim[i],nPi)); |
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253 | |
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254 | /* Compute next state and outputs for machine 1 */ |
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255 | bdd_ref(inputPre1 = bdd_bdd_and(ddManager,input,present1)); |
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256 | bdd_ref(temp1 = bdd_bdd_cofactor(ddManager,oldTr,inputPre1)); |
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257 | bdd_ref(next1 = bdd_bdd_swap_variables(ddManager,temp1,yVars,xVars,nVars)); |
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258 | bdd_recursive_deref(ddManager,temp1); |
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259 | bdd_recursive_deref(ddManager,present1); |
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260 | present1 = next1; |
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261 | bdd_ref(out1 = bdd_bdd_cofactor(ddManager,lambda1,inputPre1)); |
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262 | bdd_recursive_deref(ddManager,inputPre1); |
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263 | |
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264 | /* Compute next state and outputs for machine 2 */ |
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265 | bdd_ref(inputPre2 = bdd_bdd_and(ddManager,input,present2)); |
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266 | bdd_ref(temp1 = bdd_bdd_cofactor(ddManager,newTr,inputPre2)); |
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267 | bdd_ref(next2 = bdd_bdd_swap_variables(ddManager,temp1,yVars,xVars,nVars)); |
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268 | bdd_recursive_deref(ddManager,temp1); |
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269 | bdd_recursive_deref(ddManager,present2); |
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270 | present2 = next2; |
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271 | bdd_ref(out2 = bdd_bdd_cofactor(ddManager,lambda2,inputPre2)); |
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272 | bdd_recursive_deref(ddManager,inputPre2); |
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273 | |
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274 | bdd_recursive_deref(ddManager,input); |
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275 | |
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276 | if (out1 != out2) { |
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277 | (void) fprintf(vis_stdout,"Unequal outputs at i = %d\n",i); |
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278 | } |
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279 | bdd_recursive_deref(ddManager,out1); |
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280 | bdd_recursive_deref(ddManager,out2); |
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281 | } |
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282 | |
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283 | bdd_recursive_deref(ddManager,present1); |
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284 | bdd_recursive_deref(ddManager,present2); |
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285 | } |
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286 | |
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287 | /**Function******************************************************************** |
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288 | |
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289 | Synopsis [Test if the given relation is an equivalence relation.] |
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290 | |
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291 | SideEffects [None] |
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292 | |
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293 | SeeAlso [] |
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294 | |
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295 | ******************************************************************************/ |
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296 | void |
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297 | RestrTestIsEquivRelation( |
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298 | bdd_manager *ddManager, |
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299 | bdd_node *rel, |
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300 | bdd_node **xVars, |
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301 | bdd_node **yVars, |
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302 | bdd_node **uVars, |
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303 | bdd_node **vVars, |
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304 | int nVars) |
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305 | { |
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306 | |
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307 | bdd_node *one,*reflex; |
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308 | bdd_node *Rxy,*Rvy,*Ruy,*Rux; |
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309 | bdd_node *left,*result,*uCube; |
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310 | bdd_node **compose; |
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311 | int numVars,i; |
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312 | |
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313 | numVars = bdd_num_vars(ddManager); |
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314 | one = bdd_read_one(ddManager); |
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315 | |
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316 | /* rel is interms of xVars and uVars */ |
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317 | /* Test if rel is reflexive: R(x,x) == 1 */ |
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318 | compose = ALLOC(bdd_node *,numVars); |
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319 | for (i = 0; i < numVars; i++) { |
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320 | compose[i] = bdd_bdd_ith_var(ddManager,i); |
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321 | } |
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322 | for (i = 0; i < nVars; i++) { |
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323 | int index; |
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324 | index = bdd_node_read_index(uVars[i]); |
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325 | compose[index] = xVars[i]; |
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326 | } |
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327 | bdd_ref(reflex = bdd_bdd_vector_compose(ddManager,rel,compose)); |
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328 | if (reflex != one) { |
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329 | (void) fprintf(vis_stdout,"Relation is not reflexive.\n"); |
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330 | } else { |
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331 | (void) fprintf(vis_stdout,"Relation IS reflexive.\n"); |
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332 | } |
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333 | bdd_recursive_deref(ddManager,reflex); |
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334 | FREE(compose); |
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335 | |
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336 | /* Test if rel is symmetric: R(x,u) == R(u,x) */ |
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337 | bdd_ref(Rxy = bdd_bdd_swap_variables(ddManager,rel,uVars,yVars,nVars)); |
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338 | bdd_ref(Rvy = bdd_bdd_swap_variables(ddManager,Rxy,xVars,vVars,nVars)); |
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339 | bdd_ref(Ruy = bdd_bdd_swap_variables(ddManager,Rvy,vVars,uVars,nVars)); |
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340 | bdd_ref(Rux = bdd_bdd_swap_variables(ddManager,Ruy,yVars,xVars,nVars)); |
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341 | bdd_recursive_deref(ddManager,Rvy); |
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342 | if (Rux != rel) { |
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343 | (void) fprintf(vis_stdout,"Relation is not symmetric.\n"); |
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344 | } else { |
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345 | (void) fprintf(vis_stdout,"Relation IS symmetric.\n"); |
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346 | } |
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347 | bdd_recursive_deref(ddManager,Rux); |
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348 | |
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349 | /* Test if rel is transitive: (\exists_u R(x,u) * R(u,y)) ==> R(x,y) */ |
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350 | bdd_ref(uCube = bdd_bdd_compute_cube(ddManager,uVars,NIL(int),nVars)); |
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351 | bdd_ref(left = bdd_bdd_and_abstract(ddManager,rel,Ruy,uCube)); |
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352 | bdd_recursive_deref(ddManager,Ruy); |
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353 | bdd_recursive_deref(ddManager,uCube); |
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354 | bdd_ref(result = bdd_bdd_ite(ddManager,left,Rxy,one)); |
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355 | bdd_recursive_deref(ddManager,Rxy); |
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356 | bdd_recursive_deref(ddManager,left); |
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357 | if (result != one) { |
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358 | (void) fprintf(vis_stdout,"Relation is not transitive.\n"); |
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359 | } else { |
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360 | (void) fprintf(vis_stdout,"Relation IS transitive.\n"); |
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361 | } |
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362 | bdd_recursive_deref(ddManager,result); |
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363 | } |
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364 | |
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365 | /**Function******************************************************************** |
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366 | |
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367 | Synopsis [Print the names of an array of BDD variables.] |
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368 | |
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369 | SideEffects [None] |
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370 | |
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371 | SeeAlso [] |
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372 | |
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373 | ******************************************************************************/ |
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374 | void |
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375 | RestrPrintVarArrayNames( |
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376 | bdd_manager *ddManager, |
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377 | bdd_node **xVars, |
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378 | int nVars) |
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379 | { |
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380 | int index, i; |
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381 | mvar_type var; |
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382 | |
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383 | for(i=0;i<nVars;i++) { |
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384 | index = bdd_node_read_index(xVars[i]); |
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385 | var = mdd_get_var_by_id(ddManager,index); |
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386 | fprintf(vis_stdout," %s",var.name); |
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387 | } |
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388 | fprintf(vis_stdout,"\n"); |
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389 | } |
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390 | |
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391 | /**Function******************************************************************** |
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392 | |
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393 | Synopsis [Print an array of character strings.] |
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394 | |
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395 | SideEffects [None] |
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396 | |
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397 | SeeAlso [] |
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398 | |
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399 | ******************************************************************************/ |
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400 | void |
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401 | RestrPrintNameArray(array_t *nameArray) |
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402 | { |
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403 | int i; |
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404 | char *str; |
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405 | arrayForEachItem(char *,nameArray,i,str) { |
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406 | (void) fprintf(vis_stdout,"%s\n",str); |
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407 | } |
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408 | } |
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409 | |
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410 | /**Function******************************************************************** |
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411 | |
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412 | Synopsis [Test if the given relation is deterministic.] |
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413 | |
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414 | SideEffects [None] |
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415 | |
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416 | SeeAlso [] |
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417 | |
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418 | ******************************************************************************/ |
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419 | int |
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420 | RestrTestIsDeterministic( |
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421 | bdd_manager *ddManager, |
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422 | bdd_node *tr, |
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423 | bdd_node *initBdd, |
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424 | bdd_node **xVars, |
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425 | bdd_node **yVars, |
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426 | int nVars) |
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427 | { |
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428 | bdd_node *cproj2,*ref; |
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429 | int flag; |
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430 | |
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431 | bdd_ref(ref = bdd_bdd_swap_variables(ddManager,initBdd,xVars, |
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432 | yVars,nVars)); |
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433 | bdd_ref(cproj2 = bdd_bdd_cprojection(ddManager,tr,ref)); |
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434 | if (cproj2 != tr) { |
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435 | bdd_node *newEdges; |
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436 | (void) fprintf(vis_stdout,"** restr diag: Relation is non-deterministic\n"); |
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437 | /* Let's find out the newly added edges */ |
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438 | bdd_ref(newEdges = bdd_bdd_and(ddManager,tr, |
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439 | bdd_not_bdd_node(cproj2))); |
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440 | (void) fprintf(vis_stdout,"** restr diag: New edges are:\n"); |
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441 | RestrPrintBddNode(ddManager,newEdges); |
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442 | bdd_recursive_deref(ddManager,newEdges); |
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443 | flag = 0; |
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444 | } else { |
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445 | (void) fprintf(vis_stdout,"** restr diag: Relation IS deterministic\n"); |
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446 | flag = 1; |
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447 | } |
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448 | bdd_recursive_deref(ddManager,cproj2); |
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449 | bdd_recursive_deref(ddManager,ref); |
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450 | |
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451 | return flag; |
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452 | } |
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453 | |
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454 | /*---------------------------------------------------------------------------*/ |
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455 | /* Definition of static functions */ |
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456 | /*---------------------------------------------------------------------------*/ |
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