1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [calBddSatisfy.c] |
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4 | |
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5 | PackageName [cal] |
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6 | |
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7 | Synopsis [Routines for BDD satisfying valuation.] |
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8 | |
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9 | |
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10 | Description [ ] |
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11 | |
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12 | SeeAlso [optional] |
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13 | |
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14 | Author [Jagesh Sanghavi (sanghavi@eecs.berkeley.edu) |
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15 | Rajeev Ranjan (rajeev@eecs.berkeley.edu) |
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16 | ] |
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17 | |
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18 | Copyright [Copyright (c) 1994-1996 The Regents of the Univ. of California. |
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19 | All rights reserved. |
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20 | |
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21 | Permission is hereby granted, without written agreement and without license |
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22 | or royalty fees, to use, copy, modify, and distribute this software and its |
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23 | documentation for any purpose, provided that the above copyright notice and |
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24 | the following two paragraphs appear in all copies of this software. |
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25 | |
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26 | IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTY FOR |
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27 | DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUT |
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28 | OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF THE UNIVERSITY OF |
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29 | CALIFORNIA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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30 | |
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31 | THE UNIVERSITY OF CALIFORNIA SPECIFICALLY DISCLAIMS ANY WARRANTIES, |
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32 | INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND |
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33 | FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN |
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34 | "AS IS" BASIS, AND THE UNIVERSITY OF CALIFORNIA HAS NO OBLIGATION TO PROVIDE |
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35 | MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.] |
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36 | |
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37 | Revision [$Id: calBddSatisfy.c,v 1.1.1.3 1998/05/04 00:58:53 hsv Exp $] |
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38 | |
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39 | ******************************************************************************/ |
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40 | |
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41 | #include "calInt.h" |
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42 | |
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43 | /*---------------------------------------------------------------------------*/ |
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44 | /* Constant declarations */ |
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45 | /*---------------------------------------------------------------------------*/ |
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46 | |
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47 | /*---------------------------------------------------------------------------*/ |
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48 | /* Type declarations */ |
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49 | /*---------------------------------------------------------------------------*/ |
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50 | |
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51 | /*---------------------------------------------------------------------------*/ |
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52 | /* Stucture declarations */ |
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53 | /*---------------------------------------------------------------------------*/ |
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54 | |
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55 | /*---------------------------------------------------------------------------*/ |
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56 | /* Variable declarations */ |
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57 | /*---------------------------------------------------------------------------*/ |
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58 | |
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59 | /*---------------------------------------------------------------------------*/ |
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60 | /* Macro declarations */ |
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61 | /*---------------------------------------------------------------------------*/ |
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62 | |
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63 | |
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64 | /**AutomaticStart*************************************************************/ |
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65 | |
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66 | /*---------------------------------------------------------------------------*/ |
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67 | /* Static function prototypes */ |
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68 | /*---------------------------------------------------------------------------*/ |
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69 | |
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70 | static Cal_Bdd_t BddSatisfyStep(Cal_BddManager_t * bddManager, Cal_Bdd_t f); |
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71 | static Cal_Bdd_t BddSatisfySupportStep(Cal_BddManager_t * bddManager, Cal_Bdd_t f, Cal_BddId_t * support); |
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72 | static int IndexCmp(const void * p1, const void * p2); |
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73 | static double BddSatisfyingFractionStep(Cal_BddManager_t * bddManager, Cal_Bdd_t f, CalHashTable_t * hashTable); |
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74 | |
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75 | /**AutomaticEnd***************************************************************/ |
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76 | |
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77 | /*---------------------------------------------------------------------------*/ |
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78 | /* Definition of exported functions */ |
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79 | /*---------------------------------------------------------------------------*/ |
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80 | |
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81 | /**Function******************************************************************** |
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82 | |
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83 | Name [Cal_BddSatisfy] |
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84 | |
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85 | Synopsis [Returns a BDD which implies f, true for |
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86 | some valuation on which f is true, and which has at most |
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87 | one node at each level] |
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88 | |
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89 | Description [optional] |
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90 | |
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91 | SideEffects [required] |
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92 | |
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93 | SeeAlso [optional] |
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94 | |
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95 | ******************************************************************************/ |
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96 | Cal_Bdd |
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97 | Cal_BddSatisfy(Cal_BddManager bddManager, Cal_Bdd fUserBdd) |
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98 | { |
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99 | Cal_Bdd_t f; |
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100 | if(CalBddPreProcessing(bddManager, 1, fUserBdd)){ |
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101 | f = CalBddGetInternalBdd(bddManager, fUserBdd); |
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102 | if(CalBddIsBddZero(bddManager, f)){ |
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103 | CalBddWarningMessage("Cal_BddSatisfy: argument is false"); |
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104 | return (fUserBdd); |
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105 | } |
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106 | f = BddSatisfyStep(bddManager, f); |
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107 | return CalBddGetExternalBdd(bddManager, f); |
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108 | } |
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109 | return (Cal_Bdd) 0; |
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110 | } |
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111 | |
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112 | |
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113 | /**Function******************************************************************** |
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114 | |
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115 | Name [Cal_BddSatisfySupport] |
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116 | |
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117 | Synopsis [Returns a special cube contained in f.] |
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118 | |
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119 | Description [The returned BDD which implies f, is true for some valuation on |
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120 | which f is true, which has at most one node at each level, |
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121 | and which has exactly one node corresponding to each variable |
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122 | which is associated with something in the current variable |
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123 | association.] |
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124 | |
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125 | SideEffects [required] |
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126 | |
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127 | SeeAlso [optional] |
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128 | |
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129 | ******************************************************************************/ |
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130 | Cal_Bdd |
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131 | Cal_BddSatisfySupport(Cal_BddManager bddManager, Cal_Bdd fUserBdd) |
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132 | { |
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133 | Cal_BddId_t *support, *p; |
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134 | long i; |
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135 | Cal_Bdd_t result; |
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136 | Cal_Bdd_t f; |
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137 | |
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138 | if(CalBddPreProcessing(bddManager, 1, fUserBdd)){ |
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139 | f = CalBddGetInternalBdd(bddManager, fUserBdd); |
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140 | if(CalBddIsBddZero(bddManager, f)){ |
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141 | CalBddWarningMessage("Cal_BddSatisfySupport: argument is false"); |
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142 | return (fUserBdd); |
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143 | } |
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144 | support = Cal_MemAlloc(Cal_BddId_t, bddManager->numVars+1); |
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145 | for(i = 1, p = support; i <= bddManager->numVars; i++){ |
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146 | if(!CalBddIsBddNull(bddManager, |
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147 | bddManager->currentAssociation->varAssociation[i])){ |
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148 | *p = bddManager->idToIndex[i]; |
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149 | ++p; |
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150 | } |
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151 | } |
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152 | *p = 0; |
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153 | qsort(support, (unsigned)(p - support), sizeof(Cal_BddId_t), IndexCmp); |
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154 | while(p != support){ |
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155 | --p; |
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156 | *p = bddManager->indexToId[*p]; |
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157 | } |
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158 | result = BddSatisfySupportStep(bddManager, f, support); |
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159 | Cal_MemFree(support); |
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160 | return CalBddGetExternalBdd(bddManager, result); |
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161 | } |
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162 | return (Cal_Bdd) 0; |
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163 | } |
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164 | |
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165 | /**Function******************************************************************** |
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166 | |
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167 | Synopsis [Returns the fraction of valuations which make f true. (Note that |
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168 | this fraction is independent of whatever set of variables f is supposed to be |
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169 | a function of)] |
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170 | |
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171 | Description [optional] |
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172 | |
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173 | SideEffects [required] |
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174 | |
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175 | SeeAlso [optional] |
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176 | |
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177 | ******************************************************************************/ |
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178 | double |
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179 | Cal_BddSatisfyingFraction(Cal_BddManager bddManager, Cal_Bdd fUserBdd) |
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180 | { |
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181 | double fraction; |
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182 | CalHashTable_t *hashTable; |
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183 | Cal_Bdd_t f; |
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184 | if(CalBddPreProcessing(bddManager, 1, fUserBdd)){ |
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185 | f = CalBddGetInternalBdd(bddManager, fUserBdd); |
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186 | hashTable = CalHashTableOneInit(bddManager, sizeof(double)); |
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187 | fraction = BddSatisfyingFractionStep(bddManager, f, hashTable); |
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188 | CalHashTableOneQuit(hashTable); |
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189 | return fraction; |
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190 | } |
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191 | return 0.0; |
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192 | } |
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193 | |
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194 | /*---------------------------------------------------------------------------*/ |
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195 | /* Definition of internal functions */ |
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196 | /*---------------------------------------------------------------------------*/ |
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197 | |
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198 | /*---------------------------------------------------------------------------*/ |
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199 | /* Definition of static functions */ |
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200 | /*---------------------------------------------------------------------------*/ |
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201 | |
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202 | /**Function******************************************************************** |
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203 | |
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204 | Name [BddSatisfyStep] |
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205 | |
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206 | Synopsis [Returns a BDD which implies f, is true for some valuation |
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207 | on which f is true, and which has at most one node at each level] |
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208 | |
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209 | Description [optional] |
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210 | |
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211 | SideEffects [required] |
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212 | |
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213 | SeeAlso [optional] |
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214 | |
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215 | ******************************************************************************/ |
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216 | static Cal_Bdd_t |
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217 | BddSatisfyStep( |
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218 | Cal_BddManager_t * bddManager, |
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219 | Cal_Bdd_t f) |
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220 | { |
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221 | Cal_Bdd_t tempBdd; |
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222 | Cal_Bdd_t result; |
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223 | |
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224 | if(CalBddIsBddConst(f)){ |
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225 | return (f); |
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226 | } |
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227 | CalBddGetThenBdd(f, tempBdd); |
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228 | if(CalBddIsBddZero(bddManager, tempBdd)){ |
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229 | CalBddGetElseBdd(f, tempBdd); |
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230 | tempBdd = BddSatisfyStep(bddManager, tempBdd); |
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231 | if(!CalUniqueTableForIdFindOrAdd(bddManager, |
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232 | bddManager->uniqueTable[CalBddGetBddId(f)], |
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233 | CalBddZero(bddManager), tempBdd, &result)){ |
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234 | CalBddIcrRefCount(tempBdd); |
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235 | } |
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236 | } |
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237 | else{ |
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238 | tempBdd = BddSatisfyStep(bddManager, tempBdd); |
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239 | if(!CalUniqueTableForIdFindOrAdd(bddManager, |
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240 | bddManager->uniqueTable[CalBddGetBddId(f)], |
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241 | tempBdd, CalBddZero(bddManager), &result)){ |
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242 | CalBddIcrRefCount(tempBdd); |
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243 | } |
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244 | } |
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245 | return (result); |
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246 | } |
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247 | |
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248 | |
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249 | /**Function******************************************************************** |
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250 | |
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251 | Name [BddSatisfySupportStep] |
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252 | |
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253 | Synopsis [] |
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254 | |
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255 | Description [optional] |
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256 | |
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257 | SideEffects [required] |
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258 | |
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259 | SeeAlso [optional] |
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260 | |
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261 | ******************************************************************************/ |
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262 | static Cal_Bdd_t |
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263 | BddSatisfySupportStep( |
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264 | Cal_BddManager_t * bddManager, |
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265 | Cal_Bdd_t f, |
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266 | Cal_BddId_t * support) |
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267 | { |
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268 | Cal_Bdd_t tempBdd; |
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269 | Cal_Bdd_t result; |
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270 | |
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271 | if(!*support){ |
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272 | return BddSatisfyStep(bddManager, f); |
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273 | } |
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274 | if(CalBddGetBddIndex(bddManager, f) <= bddManager->idToIndex[*support]){ |
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275 | if(CalBddGetBddId(f) == *support){ |
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276 | ++support; |
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277 | } |
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278 | CalBddGetThenBdd(f, tempBdd); |
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279 | if(CalBddIsBddZero(bddManager, tempBdd)){ |
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280 | CalBddGetElseBdd(f, tempBdd); |
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281 | tempBdd = BddSatisfySupportStep(bddManager, tempBdd, support); |
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282 | if(!CalUniqueTableForIdFindOrAdd(bddManager, |
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283 | bddManager->uniqueTable[CalBddGetBddId(f)], |
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284 | CalBddZero(bddManager), tempBdd, &result)){ |
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285 | CalBddIcrRefCount(tempBdd); |
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286 | } |
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287 | } |
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288 | else{ |
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289 | tempBdd = BddSatisfySupportStep(bddManager, tempBdd, support); |
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290 | if(!CalUniqueTableForIdFindOrAdd(bddManager, |
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291 | bddManager->uniqueTable[CalBddGetBddId(f)], |
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292 | tempBdd, CalBddZero(bddManager), &result)){ |
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293 | CalBddIcrRefCount(tempBdd); |
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294 | } |
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295 | } |
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296 | } |
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297 | else{ |
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298 | tempBdd = BddSatisfySupportStep(bddManager, f, support+1); |
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299 | if(!CalUniqueTableForIdFindOrAdd(bddManager, |
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300 | bddManager->uniqueTable[*support], |
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301 | CalBddZero(bddManager), tempBdd, &result)){ |
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302 | CalBddIcrRefCount(tempBdd); |
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303 | } |
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304 | } |
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305 | return (result); |
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306 | } |
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307 | |
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308 | |
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309 | /**Function******************************************************************** |
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310 | |
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311 | Synopsis [] |
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312 | |
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313 | Description [optional] |
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314 | |
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315 | SideEffects [required] |
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316 | |
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317 | SeeAlso [optional] |
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318 | |
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319 | ******************************************************************************/ |
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320 | static int |
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321 | IndexCmp(const void * p1, const void * p2) |
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322 | { |
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323 | Cal_BddIndex_t i1, i2; |
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324 | |
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325 | i1 = *(Cal_BddId_t *)p1; |
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326 | i2 = *(Cal_BddId_t *)p2; |
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327 | if(i1 < i2){ |
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328 | return (-1); |
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329 | } |
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330 | if(i1 > i2){ |
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331 | return (1); |
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332 | } |
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333 | return (0); |
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334 | } |
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335 | |
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336 | /**Function******************************************************************** |
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337 | |
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338 | Synopsis [] |
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339 | |
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340 | Description [optional] |
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341 | |
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342 | SideEffects [required] |
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343 | |
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344 | SeeAlso [optional] |
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345 | |
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346 | ******************************************************************************/ |
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347 | static double |
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348 | BddSatisfyingFractionStep( |
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349 | Cal_BddManager_t * bddManager, |
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350 | Cal_Bdd_t f, |
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351 | CalHashTable_t * hashTable) |
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352 | { |
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353 | double *resultPtr, result; |
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354 | Cal_Bdd_t thenBdd, elseBdd; |
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355 | |
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356 | if(CalBddIsBddConst(f)){ |
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357 | if(CalBddIsBddZero(bddManager, f)){ |
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358 | return 0.0; |
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359 | } |
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360 | return 1.0; |
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361 | } |
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362 | if(CalHashTableOneLookup(hashTable, f, (char **)&resultPtr)){ |
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363 | return (*resultPtr); |
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364 | } |
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365 | CalBddGetThenBdd(f, thenBdd); |
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366 | CalBddGetElseBdd(f, elseBdd); |
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367 | result = |
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368 | 0.5 * BddSatisfyingFractionStep(bddManager, thenBdd, hashTable) + |
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369 | 0.5 * BddSatisfyingFractionStep(bddManager, elseBdd, hashTable); |
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370 | CalHashTableOneInsert(hashTable, f, (char *)&result); |
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371 | return (result); |
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372 | } |
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373 | |
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