1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [cuddSign.c] |
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4 | |
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5 | PackageName [cudd] |
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6 | |
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7 | Synopsis [Computation of signatures.] |
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8 | |
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9 | Description [External procedures included in this module: |
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10 | <ul> |
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11 | <li> Cudd_CofMinterm(); |
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12 | </ul> |
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13 | Static procedures included in this module: |
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14 | <ul> |
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15 | <li> ddCofMintermAux() |
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16 | </ul> |
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17 | ] |
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18 | |
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19 | Author [Fabio Somenzi] |
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20 | |
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21 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
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22 | |
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23 | All rights reserved. |
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24 | |
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25 | Redistribution and use in source and binary forms, with or without |
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26 | modification, are permitted provided that the following conditions |
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27 | are met: |
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28 | |
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29 | Redistributions of source code must retain the above copyright |
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30 | notice, this list of conditions and the following disclaimer. |
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31 | |
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32 | Redistributions in binary form must reproduce the above copyright |
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33 | notice, this list of conditions and the following disclaimer in the |
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34 | documentation and/or other materials provided with the distribution. |
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35 | |
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36 | Neither the name of the University of Colorado nor the names of its |
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37 | contributors may be used to endorse or promote products derived from |
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38 | this software without specific prior written permission. |
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39 | |
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40 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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41 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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42 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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43 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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44 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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45 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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46 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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47 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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48 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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49 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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50 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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51 | POSSIBILITY OF SUCH DAMAGE.] |
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52 | |
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53 | ******************************************************************************/ |
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54 | |
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55 | #include "util.h" |
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56 | #include "cuddInt.h" |
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57 | |
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58 | |
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59 | /*---------------------------------------------------------------------------*/ |
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60 | /* Constant declarations */ |
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61 | /*---------------------------------------------------------------------------*/ |
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62 | |
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63 | |
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64 | /*---------------------------------------------------------------------------*/ |
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65 | /* Stucture declarations */ |
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66 | /*---------------------------------------------------------------------------*/ |
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67 | |
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68 | |
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69 | /*---------------------------------------------------------------------------*/ |
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70 | /* Type declarations */ |
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71 | /*---------------------------------------------------------------------------*/ |
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72 | |
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73 | |
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74 | /*---------------------------------------------------------------------------*/ |
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75 | /* Variable declarations */ |
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76 | /*---------------------------------------------------------------------------*/ |
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77 | |
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78 | #ifndef lint |
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79 | static char rcsid[] DD_UNUSED = "$Id: cuddSign.c,v 1.22 2009/02/20 02:14:58 fabio Exp $"; |
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80 | #endif |
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81 | |
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82 | static int size; |
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83 | |
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84 | #ifdef DD_STATS |
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85 | static int num_calls; /* should equal 2n-1 (n is the # of nodes) */ |
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86 | static int table_mem; |
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87 | #endif |
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88 | |
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89 | |
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90 | /*---------------------------------------------------------------------------*/ |
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91 | /* Macro declarations */ |
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92 | /*---------------------------------------------------------------------------*/ |
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93 | |
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94 | |
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95 | /**AutomaticStart*************************************************************/ |
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96 | |
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97 | /*---------------------------------------------------------------------------*/ |
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98 | /* Static function prototypes */ |
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99 | /*---------------------------------------------------------------------------*/ |
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100 | |
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101 | static double * ddCofMintermAux (DdManager *dd, DdNode *node, st_table *table); |
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102 | |
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103 | /**AutomaticEnd***************************************************************/ |
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104 | |
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105 | |
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106 | /*---------------------------------------------------------------------------*/ |
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107 | /* Definition of exported functions */ |
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108 | /*---------------------------------------------------------------------------*/ |
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109 | |
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110 | /**Function******************************************************************** |
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111 | |
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112 | Synopsis [Computes the fraction of minterms in the on-set of all the |
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113 | positive cofactors of a BDD or ADD.] |
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114 | |
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115 | Description [Computes the fraction of minterms in the on-set of all |
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116 | the positive cofactors of DD. Returns the pointer to an array of |
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117 | doubles if successful; NULL otherwise. The array has as many |
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118 | positions as there are BDD variables in the manager plus one. The |
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119 | last position of the array contains the fraction of the minterms in |
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120 | the ON-set of the function represented by the BDD or ADD. The other |
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121 | positions of the array hold the variable signatures.] |
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122 | |
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123 | SideEffects [None] |
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124 | |
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125 | ******************************************************************************/ |
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126 | double * |
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127 | Cudd_CofMinterm( |
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128 | DdManager * dd, |
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129 | DdNode * node) |
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130 | { |
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131 | st_table *table; |
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132 | double *values; |
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133 | double *result = NULL; |
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134 | int i, firstLevel; |
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135 | |
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136 | #ifdef DD_STATS |
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137 | long startTime; |
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138 | startTime = util_cpu_time(); |
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139 | num_calls = 0; |
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140 | table_mem = sizeof(st_table); |
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141 | #endif |
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142 | |
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143 | table = st_init_table(st_ptrcmp, st_ptrhash); |
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144 | if (table == NULL) { |
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145 | (void) fprintf(dd->err, |
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146 | "out-of-memory, couldn't measure DD cofactors.\n"); |
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147 | dd->errorCode = CUDD_MEMORY_OUT; |
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148 | return(NULL); |
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149 | } |
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150 | size = dd->size; |
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151 | values = ddCofMintermAux(dd, node, table); |
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152 | if (values != NULL) { |
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153 | result = ALLOC(double,size + 1); |
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154 | if (result != NULL) { |
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155 | #ifdef DD_STATS |
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156 | table_mem += (size + 1) * sizeof(double); |
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157 | #endif |
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158 | if (Cudd_IsConstant(node)) |
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159 | firstLevel = 1; |
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160 | else |
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161 | firstLevel = cuddI(dd,Cudd_Regular(node)->index); |
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162 | for (i = 0; i < size; i++) { |
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163 | if (i >= cuddI(dd,Cudd_Regular(node)->index)) { |
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164 | result[dd->invperm[i]] = values[i - firstLevel]; |
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165 | } else { |
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166 | result[dd->invperm[i]] = values[size - firstLevel]; |
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167 | } |
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168 | } |
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169 | result[size] = values[size - firstLevel]; |
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170 | } else { |
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171 | dd->errorCode = CUDD_MEMORY_OUT; |
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172 | } |
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173 | } |
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174 | |
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175 | #ifdef DD_STATS |
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176 | table_mem += table->num_bins * sizeof(st_table_entry *); |
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177 | #endif |
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178 | if (Cudd_Regular(node)->ref == 1) FREE(values); |
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179 | st_foreach(table, cuddStCountfree, NULL); |
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180 | st_free_table(table); |
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181 | #ifdef DD_STATS |
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182 | (void) fprintf(dd->out,"Number of calls: %d\tTable memory: %d bytes\n", |
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183 | num_calls, table_mem); |
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184 | (void) fprintf(dd->out,"Time to compute measures: %s\n", |
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185 | util_print_time(util_cpu_time() - startTime)); |
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186 | #endif |
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187 | if (result == NULL) { |
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188 | (void) fprintf(dd->out, |
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189 | "out-of-memory, couldn't measure DD cofactors.\n"); |
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190 | dd->errorCode = CUDD_MEMORY_OUT; |
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191 | } |
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192 | return(result); |
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193 | |
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194 | } /* end of Cudd_CofMinterm */ |
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195 | |
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196 | |
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197 | /*---------------------------------------------------------------------------*/ |
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198 | /* Definition of internal functions */ |
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199 | /*---------------------------------------------------------------------------*/ |
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200 | |
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201 | |
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202 | /*---------------------------------------------------------------------------*/ |
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203 | /* Definition of static functions */ |
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204 | /*---------------------------------------------------------------------------*/ |
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205 | |
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206 | |
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207 | /**Function******************************************************************** |
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208 | |
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209 | Synopsis [Recursive Step for Cudd_CofMinterm function.] |
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210 | |
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211 | Description [Traverses the DD node and computes the fraction of |
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212 | minterms in the on-set of all positive cofactors simultaneously. |
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213 | It allocates an array with two more entries than there are |
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214 | variables below the one labeling the node. One extra entry (the |
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215 | first in the array) is for the variable labeling the node. The other |
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216 | entry (the last one in the array) holds the fraction of minterms of |
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217 | the function rooted at node. Each other entry holds the value for |
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218 | one cofactor. The array is put in a symbol table, to avoid repeated |
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219 | computation, and its address is returned by the procedure, for use |
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220 | by the caller. Returns a pointer to the array of cofactor measures.] |
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221 | |
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222 | SideEffects [None] |
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223 | |
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224 | SeeAlso [] |
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225 | |
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226 | ******************************************************************************/ |
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227 | static double * |
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228 | ddCofMintermAux( |
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229 | DdManager * dd, |
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230 | DdNode * node, |
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231 | st_table * table) |
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232 | { |
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233 | DdNode *N; /* regular version of node */ |
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234 | DdNode *Nv, *Nnv; |
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235 | double *values; |
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236 | double *valuesT, *valuesE; |
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237 | int i; |
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238 | int localSize, localSizeT, localSizeE; |
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239 | double vT, vE; |
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240 | |
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241 | statLine(dd); |
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242 | #ifdef DD_STATS |
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243 | num_calls++; |
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244 | #endif |
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245 | |
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246 | if (st_lookup(table, node, &values)) { |
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247 | return(values); |
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248 | } |
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249 | |
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250 | N = Cudd_Regular(node); |
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251 | if (cuddIsConstant(N)) { |
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252 | localSize = 1; |
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253 | } else { |
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254 | localSize = size - cuddI(dd,N->index) + 1; |
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255 | } |
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256 | values = ALLOC(double, localSize); |
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257 | if (values == NULL) { |
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258 | dd->errorCode = CUDD_MEMORY_OUT; |
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259 | return(NULL); |
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260 | } |
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261 | |
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262 | if (cuddIsConstant(N)) { |
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263 | if (node == DD_ZERO(dd) || node == Cudd_Not(DD_ONE(dd))) { |
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264 | values[0] = 0.0; |
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265 | } else { |
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266 | values[0] = 1.0; |
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267 | } |
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268 | } else { |
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269 | Nv = Cudd_NotCond(cuddT(N),N!=node); |
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270 | Nnv = Cudd_NotCond(cuddE(N),N!=node); |
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271 | |
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272 | valuesT = ddCofMintermAux(dd, Nv, table); |
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273 | if (valuesT == NULL) return(NULL); |
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274 | valuesE = ddCofMintermAux(dd, Nnv, table); |
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275 | if (valuesE == NULL) return(NULL); |
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276 | |
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277 | if (Cudd_IsConstant(Nv)) { |
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278 | localSizeT = 1; |
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279 | } else { |
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280 | localSizeT = size - cuddI(dd,Cudd_Regular(Nv)->index) + 1; |
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281 | } |
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282 | if (Cudd_IsConstant(Nnv)) { |
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283 | localSizeE = 1; |
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284 | } else { |
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285 | localSizeE = size - cuddI(dd,Cudd_Regular(Nnv)->index) + 1; |
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286 | } |
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287 | values[0] = valuesT[localSizeT - 1]; |
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288 | for (i = 1; i < localSize; i++) { |
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289 | if (i >= cuddI(dd,Cudd_Regular(Nv)->index) - cuddI(dd,N->index)) { |
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290 | vT = valuesT[i - cuddI(dd,Cudd_Regular(Nv)->index) + |
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291 | cuddI(dd,N->index)]; |
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292 | } else { |
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293 | vT = valuesT[localSizeT - 1]; |
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294 | } |
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295 | if (i >= cuddI(dd,Cudd_Regular(Nnv)->index) - cuddI(dd,N->index)) { |
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296 | vE = valuesE[i - cuddI(dd,Cudd_Regular(Nnv)->index) + |
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297 | cuddI(dd,N->index)]; |
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298 | } else { |
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299 | vE = valuesE[localSizeE - 1]; |
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300 | } |
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301 | values[i] = (vT + vE) / 2.0; |
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302 | } |
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303 | if (Cudd_Regular(Nv)->ref == 1) FREE(valuesT); |
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304 | if (Cudd_Regular(Nnv)->ref == 1) FREE(valuesE); |
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305 | } |
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306 | |
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307 | if (N->ref > 1) { |
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308 | if (st_add_direct(table, (char *) node, (char *) values) == ST_OUT_OF_MEM) { |
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309 | FREE(values); |
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310 | return(NULL); |
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311 | } |
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312 | #ifdef DD_STATS |
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313 | table_mem += localSize * sizeof(double) + sizeof(st_table_entry); |
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314 | #endif |
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315 | } |
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316 | return(values); |
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317 | |
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318 | } /* end of ddCofMintermAux */ |
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